TSTP Solution File: SWW316+1 by ConnectPP---0.3.0
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%------------------------------------------------------------------------------
% File : ConnectPP---0.3.0
% Problem : SWW316+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 : n025.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 14:40:20 EDT 2024
% Result : Theorem 43.29s 43.54s
% Output : Proof 43.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWW316+1 : TPTP v8.1.2. Released v5.2.0.
% 0.04/0.13 % Command : connect++ --verbosity 0 --no-colour --tptp-proof --schedule default %s
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Mar 21 02:07:53 EDT 2024
% 0.13/0.34 % CPUTime :
% 43.29/43.54 % SZS status Theorem for theBenchmark
% 43.29/43.54 % SZS output start Proof for theBenchmark
% 43.29/43.54
% 43.29/43.54 % Formula: fact_ext ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_ext-1, axiom, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_triple_Oinject ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_triple_Oinject-1, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u12), _u14), _u16) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u18), _u20), _u22)) | ( _u12 = _u18) )).
% 43.29/43.54 cnf(fact_triple_Oinject-2, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u12), _u14), _u16) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u18), _u20), _u22)) | ( _u14 = _u20) )).
% 43.29/43.54 cnf(fact_triple_Oinject-3, axiom, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u12), _u14), _u16) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u18), _u20), _u22)) | ( _u16 = _u22) )).
% 43.29/43.54 cnf(fact_triple_Oinject-4, axiom, ( ( _u13 != _u19) | ( _u15 != _u21) | ( _u17 != _u23) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11), _u13), _u15), _u17) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11), _u19), _u21), _u23)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_asm ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_asm-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u24), tc_HOL_Obool)), _u25), _u26)) | c_Hoare__Mirabelle_Ohoare__derivs(_u24, _u26, _u25) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_weaken ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_weaken-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u27, _u28, _u29) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u27), tc_HOL_Obool)), _u30), _u29)) | c_Hoare__Mirabelle_Ohoare__derivs(_u27, _u28, _u30) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_cut ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_cut-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u31, _u32, _u33) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u31, _u34, _u32) | c_Hoare__Mirabelle_Ohoare__derivs(_u31, _u34, _u33) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_hoare__derivs_OBody ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_hoare__derivs_OBody-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u35, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u35), tc_HOL_Obool)), _u36), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u35), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), hAPP(hAPP(c_COMBB(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u35)), _u37)), c_Com_Ocom_OBODY)), _u38)), _u39)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u35), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), hAPP(hAPP(c_COMBB(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u35)), _u37)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u38)), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u35, _u36, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u35), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), hAPP(hAPP(c_COMBB(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u35)), _u37)), c_Com_Ocom_OBODY)), _u38)), _u39)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup1E ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup1E-1, axiom, ( hBOOL(hAPP(_u41, _u43)) | hBOOL(hAPP(_u42, _u43)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u40, tc_HOL_Obool)), _u41), _u42), _u43)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup1CI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup1CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u47, tc_HOL_Obool)), _u46), _u44), _u45)) | ~hBOOL(hAPP(_u44, _u45)) )).
% 43.29/43.54 cnf(fact_sup1CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u47, tc_HOL_Obool)), _u46), _u44), _u45)) | ~hBOOL(hAPP(_u46, _u45)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_equalityI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_equalityI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u48, tc_HOL_Obool)), _u49), _u50)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u48, tc_HOL_Obool)), _u50), _u49)) | ( _u49 = _u50) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__fun__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u51) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u52, _u51)), _u53), _u54), _u55) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u51), hAPP(_u53, _u55)), hAPP(_u54, _u55))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__refl ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__refl-1, axiom, ( ~class_Orderings_Opreorder(_u56) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u56), _u57), _u57)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_triple_Orecs ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_triple_Orecs-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u58, _u59, _u60, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u58), _u61), _u62), _u63)) = hAPP(hAPP(hAPP(_u60, _u61), _u62), _u63)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_triple_Osimps_I2_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_triple_Osimps_I2_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u64, _u65, _u66, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u64), _u67), _u68), _u69)) = hAPP(hAPP(hAPP(_u66, _u67), _u68), _u69)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__Un ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__Un-1, axiom, ( ( hAPP(c_Set_Oimage(_u70, _u71, _u72), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u70, tc_HOL_Obool)), _u73), _u74)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u71, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u70, _u71, _u72), _u73)), hAPP(c_Set_Oimage(_u70, _u71, _u72), _u74))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__upper1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__upper1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u75, tc_HOL_Obool)), _u76), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u75, tc_HOL_Obool)), _u76), _u77))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__upper2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__upper2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u78, tc_HOL_Obool)), _u79), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u78, tc_HOL_Obool)), _u80), _u79))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__Un__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u84, tc_HOL_Obool)), _u86), _u88)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u84, tc_HOL_Obool)), _u86), _u88) = _u88) )).
% 43.29/43.54 cnf(fact_subset__Un__eq-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u85, tc_HOL_Obool)), _u87), _u89) != _u89) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u85, tc_HOL_Obool)), _u87), _u89)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__absorb1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u90, tc_HOL_Obool)), _u91), _u92)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u90, tc_HOL_Obool)), _u91), _u92) = _u92) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__le__cases ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__le__cases-1, axiom, ( ~class_Orderings_Olinorder(_u93) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u93), _u94), _u95)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u93), _u95), _u94)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I6_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u96) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u96), _u97), _u98)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u96), _u99), _u97)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u96), _u99), _u98)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I5_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u100), _u101), _u102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u100), _u102), _u101)) | ( _u102 = _u101) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__trans-1, axiom, ( ~class_Orderings_Opreorder(_u103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u104), _u105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u105), _u106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u104), _u106)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__antisym ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__antisym-1, axiom, ( ~class_Orderings_Oorder(_u107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u107), _u108), _u109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u107), _u109), _u108)) | ( _u108 = _u109) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I4_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u110), _u111), _u112)) | ( _u111 != _u113) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u110), _u113), _u112)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_ord__le__eq__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_ord__le__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u114), _u115), _u116)) | ( _u116 != _u117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u114), _u115), _u117)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I3_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u118) | ( _u119 != _u120) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u118), _u121), _u120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u118), _u121), _u119)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_ord__eq__le__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_ord__eq__le__trans-1, axiom, ( ~class_Orderings_Oord(_u122) | ( _u123 != _u124) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u122), _u124), _u125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u122), _u123), _u125)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__antisym__conv ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__antisym__conv-1, axiom, ( ~class_Orderings_Oorder(_u126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u126), _u127), _u128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u126), _u128), _u127)) | ( _u128 = _u127) )).
% 43.29/43.54 cnf(fact_order__antisym__conv-2, axiom, ( ~class_Orderings_Oorder(_u126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u126), _u127), _u128)) | ( _u128 != _u127) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u126), _u128), _u127)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__eq__refl ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__eq__refl-1, axiom, ( ~class_Orderings_Opreorder(_u129) | ( _u130 != _u131) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u129), _u130), _u131)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__eq__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__eq__iff-1, axiom, ( ~class_Orderings_Oorder(_u132) | ( _u133 != _u134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u132), _u133), _u134)) )).
% 43.29/43.54 cnf(fact_order__eq__iff-2, axiom, ( ~class_Orderings_Oorder(_u132) | ( _u133 != _u134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u132), _u134), _u133)) )).
% 43.29/43.54 cnf(fact_order__eq__iff-3, axiom, ( ~class_Orderings_Oorder(_u132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u132), _u133), _u134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u132), _u134), _u133)) | ( _u133 = _u134) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__linear ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__linear-1, axiom, ( ~class_Orderings_Olinorder(_u135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u135), _u136), _u137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u135), _u137), _u136)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__assoc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__assoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u138) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u138), _u139), _u140)), _u141) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u138), _u139), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u138), _u140), _u141))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_inf__sup__aci_I6_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_inf__sup__aci_I6_J-1, axiom, ( ~class_Lattices_Olattice(_u142) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u142), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u142), _u143), _u144)), _u145) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u142), _u143), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u142), _u144), _u145))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup_Oassoc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u146) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u146), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u146), _u147), _u148)), _u149) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u146), _u147), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u146), _u148), _u149))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__left__commute ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u150) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u150), _u151), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u150), _u152), _u153)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u150), _u152), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u150), _u151), _u153))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_inf__sup__aci_I7_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_inf__sup__aci_I7_J-1, axiom, ( ~class_Lattices_Olattice(_u154) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u154), _u155), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u154), _u156), _u157)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u154), _u156), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u154), _u155), _u157))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup_Oleft__commute ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u158) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u158), _u159), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u158), _u160), _u161)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u158), _u160), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u158), _u159), _u161))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__left__idem ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u162) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u162), _u163), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u162), _u163), _u164)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u162), _u163), _u164)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_inf__sup__aci_I8_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_inf__sup__aci_I8_J-1, axiom, ( ~class_Lattices_Olattice(_u165) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u165), _u166), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u165), _u166), _u167)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u165), _u166), _u167)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup_Oleft__idem ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u168) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u168), _u169), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u168), _u169), _u170)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u168), _u169), _u170)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__commute ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__commute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u171) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u171), _u172), _u173) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u171), _u173), _u172)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_inf__sup__aci_I5_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_inf__sup__aci_I5_J-1, axiom, ( ~class_Lattices_Olattice(_u174) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u174), _u175), _u176) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u174), _u176), _u175)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup_Ocommute ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u177) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u177), _u178), _u179) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u177), _u179), _u178)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__idem ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__idem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u180) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u180), _u181), _u181) = _u181) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup_Oidem ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u182) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u182), _u183), _u183) = _u183) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_equalityE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_equalityE-1, axiom, ( ( _u184 != _u185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u186, tc_HOL_Obool)), _u184), _u185)) )).
% 43.29/43.54 cnf(fact_equalityE-2, axiom, ( ( _u184 != _u185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u186, tc_HOL_Obool)), _u185), _u184)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u187, tc_HOL_Obool)), _u188), _u189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u187, tc_HOL_Obool)), _u189), _u190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u187, tc_HOL_Obool)), _u188), _u190)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_predicate1D ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_predicate1D-1, axiom, ( ~hBOOL(hAPP(_u192, _u194)) | hBOOL(hAPP(_u193, _u194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u191, tc_HOL_Obool)), _u192), _u193)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_equalityD2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_equalityD2-1, axiom, ( ( _u195 != _u196) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u197, tc_HOL_Obool)), _u196), _u195)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_equalityD1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_equalityD1-1, axiom, ( ( _u198 != _u199) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u200, tc_HOL_Obool)), _u198), _u199)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_rev__predicate1D ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_rev__predicate1D-1, axiom, ( ~hBOOL(hAPP(_u201, _u202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u203, tc_HOL_Obool)), _u201), _u204)) | hBOOL(hAPP(_u204, _u202)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_set__eq__subset ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_set__eq__subset-1, axiom, ( ( _u208 != _u210) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u212, tc_HOL_Obool)), _u208), _u210)) )).
% 43.29/43.54 cnf(fact_set__eq__subset-2, axiom, ( ( _u208 != _u210) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u212, tc_HOL_Obool)), _u210), _u208)) )).
% 43.29/43.54 cnf(fact_set__eq__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u213, tc_HOL_Obool)), _u209), _u211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u213, tc_HOL_Obool)), _u211), _u209)) | ( _u209 = _u211) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__refl ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u214, tc_HOL_Obool)), _u215), _u215)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup1I2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup1I2-1, axiom, ( ~hBOOL(hAPP(_u216, _u217)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u218, tc_HOL_Obool)), _u219), _u216), _u217)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup1I1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup1I1-1, axiom, ( ~hBOOL(hAPP(_u220, _u221)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u222, tc_HOL_Obool)), _u220), _u223), _u221)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_ball__Un ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_ball__Un-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u234), skolem2(_u240, _u238, _u236, _u234)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u234, tc_HOL_Obool)), _u236), _u238))) | ~hBOOL(hAPP(hAPP(c_member(_u234), _u225), _u236)) | hBOOL(hAPP(_u240, _u225)) )).
% 43.29/43.54 cnf(fact_ball__Un-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u234), skolem2(_u240, _u238, _u236, _u234)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u234, tc_HOL_Obool)), _u236), _u238))) | ~hBOOL(hAPP(hAPP(c_member(_u234), _u226), _u238)) | hBOOL(hAPP(_u240, _u226)) )).
% 43.29/43.54 cnf(fact_ball__Un-3, axiom, ( ~hBOOL(hAPP(_u240, skolem2(_u240, _u238, _u236, _u234))) | ~hBOOL(hAPP(hAPP(c_member(_u234), _u225), _u236)) | hBOOL(hAPP(_u240, _u225)) )).
% 43.29/43.54 cnf(fact_ball__Un-4, axiom, ( ~hBOOL(hAPP(_u240, skolem2(_u240, _u238, _u236, _u234))) | ~hBOOL(hAPP(hAPP(c_member(_u234), _u226), _u238)) | hBOOL(hAPP(_u240, _u226)) )).
% 43.29/43.54 cnf(fact_ball__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u235), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u235, tc_HOL_Obool)), _u237), _u239))) | hBOOL(hAPP(_u241, _u229)) | hBOOL(hAPP(hAPP(c_member(_u235), skolem3(_u241, _u239, _u237, _u235)), _u237)) | hBOOL(hAPP(hAPP(c_member(_u235), skolem4(_u241, _u239, _u237, _u235)), _u239)) )).
% 43.29/43.54 cnf(fact_ball__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u235), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u235, tc_HOL_Obool)), _u237), _u239))) | hBOOL(hAPP(_u241, _u229)) | hBOOL(hAPP(hAPP(c_member(_u235), skolem3(_u241, _u239, _u237, _u235)), _u237)) | ~hBOOL(hAPP(_u241, skolem4(_u241, _u239, _u237, _u235))) )).
% 43.29/43.54 cnf(fact_ball__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u235), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u235, tc_HOL_Obool)), _u237), _u239))) | hBOOL(hAPP(_u241, _u229)) | ~hBOOL(hAPP(_u241, skolem3(_u241, _u239, _u237, _u235))) | hBOOL(hAPP(hAPP(c_member(_u235), skolem4(_u241, _u239, _u237, _u235)), _u239)) )).
% 43.29/43.54 cnf(fact_ball__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u235), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u235, tc_HOL_Obool)), _u237), _u239))) | hBOOL(hAPP(_u241, _u229)) | ~hBOOL(hAPP(_u241, skolem3(_u241, _u239, _u237, _u235))) | ~hBOOL(hAPP(_u241, skolem4(_u241, _u239, _u237, _u235))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_bex__Un ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_bex__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u252, tc_HOL_Obool)), _u254), _u256))) | ~hBOOL(hAPP(_u258, _u242)) | hBOOL(hAPP(hAPP(c_member(_u252), skolem5(_u258, _u256, _u254, _u252)), _u254)) | hBOOL(hAPP(hAPP(c_member(_u252), skolem6(_u258, _u256, _u254, _u252)), _u256)) )).
% 43.29/43.54 cnf(fact_bex__Un-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u252, tc_HOL_Obool)), _u254), _u256))) | ~hBOOL(hAPP(_u258, _u242)) | hBOOL(hAPP(hAPP(c_member(_u252), skolem5(_u258, _u256, _u254, _u252)), _u254)) | hBOOL(hAPP(_u258, skolem6(_u258, _u256, _u254, _u252))) )).
% 43.29/43.54 cnf(fact_bex__Un-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u252, tc_HOL_Obool)), _u254), _u256))) | ~hBOOL(hAPP(_u258, _u242)) | hBOOL(hAPP(_u258, skolem5(_u258, _u256, _u254, _u252))) | hBOOL(hAPP(hAPP(c_member(_u252), skolem6(_u258, _u256, _u254, _u252)), _u256)) )).
% 43.29/43.54 cnf(fact_bex__Un-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u252, tc_HOL_Obool)), _u254), _u256))) | ~hBOOL(hAPP(_u258, _u242)) | hBOOL(hAPP(_u258, skolem5(_u258, _u256, _u254, _u252))) | hBOOL(hAPP(_u258, skolem6(_u258, _u256, _u254, _u252))) )).
% 43.29/43.54 cnf(fact_bex__Un-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u245), _u255)) | ~hBOOL(hAPP(_u259, _u245)) | hBOOL(hAPP(hAPP(c_member(_u253), skolem7(_u259, _u257, _u255, _u253)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u253, tc_HOL_Obool)), _u255), _u257))) )).
% 43.29/43.54 cnf(fact_bex__Un-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u245), _u255)) | ~hBOOL(hAPP(_u259, _u245)) | hBOOL(hAPP(_u259, skolem7(_u259, _u257, _u255, _u253))) )).
% 43.29/43.54 cnf(fact_bex__Un-7, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u246), _u257)) | ~hBOOL(hAPP(_u259, _u246)) | hBOOL(hAPP(hAPP(c_member(_u253), skolem7(_u259, _u257, _u255, _u253)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u253, tc_HOL_Obool)), _u255), _u257))) )).
% 43.29/43.54 cnf(fact_bex__Un-8, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u246), _u257)) | ~hBOOL(hAPP(_u259, _u246)) | hBOOL(hAPP(_u259, skolem7(_u259, _u257, _u255, _u253))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__assoc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), _u261), _u262)), _u263) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), _u261), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), _u262), _u263))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__left__commute ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u264, tc_HOL_Obool)), _u265), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u264, tc_HOL_Obool)), _u266), _u267)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u264, tc_HOL_Obool)), _u266), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u264, tc_HOL_Obool)), _u265), _u267))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__left__absorb ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u268, tc_HOL_Obool)), _u269), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u268, tc_HOL_Obool)), _u269), _u270)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u268, tc_HOL_Obool)), _u269), _u270)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__commute ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u271, tc_HOL_Obool)), _u272), _u273) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u271, tc_HOL_Obool)), _u273), _u272)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__absorb ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u274, tc_HOL_Obool)), _u275), _u275) = _u275) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__image ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__image-1, axiom, ( ( hAPP(c_Set_Oimage(_u276, _u277, _u278), hAPP(c_Set_Oimage(_u279, _u276, _u280), _u281)) = hAPP(c_Set_Oimage(_u279, _u277, hAPP(hAPP(c_COMBB(_u276, _u277, _u279), _u278), _u280)), _u281)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__supE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__supE-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u282), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u282), _u283), _u284)), _u285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u282), _u283), _u285)) )).
% 43.29/43.54 cnf(fact_le__supE-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u282), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u282), _u283), _u284)), _u285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u282), _u284), _u285)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__mono-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u286), _u287), _u288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u286), _u289), _u290)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u286), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u286), _u287), _u289)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u286), _u288), _u290))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__least ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__least-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u291), _u292), _u293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u291), _u294), _u293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u291), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u291), _u292), _u294)), _u293)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__supI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__supI-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u295), _u296), _u297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u295), _u298), _u297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u295), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u295), _u296), _u298)), _u297)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__absorb1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u299), _u300), _u301)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u299), _u301), _u300) = _u301) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__absorb2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u302), _u303), _u304)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u302), _u303), _u304) = _u304) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__supI2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u305), _u306), _u307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u305), _u306), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u305), _u308), _u307))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__supI1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u309), _u310), _u311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u309), _u310), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u309), _u311), _u312))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__sup__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__sup__iff-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u313), _u314), _u315)), _u316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u314), _u316)) )).
% 43.29/43.54 cnf(fact_le__sup__iff-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u313), _u314), _u315)), _u316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u316)) )).
% 43.29/43.54 cnf(fact_le__sup__iff-3, axiom, ( ~class_Lattices_Osemilattice__sup(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u314), _u316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u313), _u314), _u315)), _u316)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__iff__sup ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__iff__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u317), _u318), _u319)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u317), _u318), _u319) = _u319) )).
% 43.29/43.54 cnf(fact_le__iff__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u317) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u317), _u318), _u319) != _u319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u317), _u318), _u319)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__ge2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__ge2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u320), _u321), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u320), _u322), _u321))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_inf__sup__ord_I4_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_inf__sup__ord_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u323), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u323), _u325), _u324))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__ge1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__ge1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u326) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u326), _u327), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u326), _u327), _u328))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_inf__sup__ord_I3_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_inf__sup__ord_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), _u330), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u329), _u330), _u331))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__funE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__funE-1, axiom, ( ~class_Orderings_Oord(_u332) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u333, _u332)), _u334), _u335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u332), hAPP(_u334, _u336)), hAPP(_u335, _u336))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__funD ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__funD-1, axiom, ( ~class_Orderings_Oord(_u337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u338, _u337)), _u339), _u340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u337), hAPP(_u339, _u341)), hAPP(_u340, _u341))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__fun__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__fun__def-1, axiom, ( ~class_Orderings_Oord(_u344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u345, _u344)), _u346), _u347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u344), hAPP(_u346, _u342)), hAPP(_u347, _u342))) )).
% 43.29/43.54 cnf(fact_le__fun__def-2, axiom, ( ~class_Orderings_Oord(_u344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u344), hAPP(_u346, skolem8(_u347, _u346, _u345, _u344))), hAPP(_u347, skolem8(_u347, _u346, _u345, _u344)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u345, _u344)), _u346), _u347)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__apply ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__apply-1, axiom, ( ~class_Lattices_Olattice(_u348) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u349, _u348)), _u350), _u351), _u352) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u348), hAPP(_u350, _u352)), hAPP(_u351, _u352))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u353, tc_HOL_Obool)), _u354), _u355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u356, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u353, _u356, _u357), _u354)), hAPP(c_Set_Oimage(_u353, _u356, _u357), _u355))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__image__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u365, tc_HOL_Obool)), _u367), hAPP(c_Set_Oimage(_u369, _u365, _u371), _u373))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u369, tc_HOL_Obool)), skolem9(_u373, _u371, _u369, _u367, _u365)), _u373)) )).
% 43.29/43.54 cnf(fact_subset__image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u365, tc_HOL_Obool)), _u367), hAPP(c_Set_Oimage(_u369, _u365, _u371), _u373))) | ( _u367 = hAPP(c_Set_Oimage(_u369, _u365, _u371), skolem9(_u373, _u371, _u369, _u367, _u365))) )).
% 43.29/43.54 cnf(fact_subset__image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u370, tc_HOL_Obool)), _u359), _u374)) | ( _u368 != hAPP(c_Set_Oimage(_u370, _u366, _u372), _u359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u366, tc_HOL_Obool)), _u368), hAPP(c_Set_Oimage(_u370, _u366, _u372), _u374))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u375, tc_HOL_Obool)), _u376), _u377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u375, tc_HOL_Obool)), _u378), _u379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u375, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u375, tc_HOL_Obool)), _u376), _u378)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u375, tc_HOL_Obool)), _u377), _u379))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__least ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__least-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u380, tc_HOL_Obool)), _u381), _u382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u380, tc_HOL_Obool)), _u383), _u382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u380, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u380, tc_HOL_Obool)), _u381), _u383)), _u382)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__absorb2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u384, tc_HOL_Obool)), _u385), _u386)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u384, tc_HOL_Obool)), _u386), _u385) = _u386) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__ident ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__ident-1, axiom, ( ( hAPP(c_Set_Oimage(_u387, _u387, c_COMBI(_u387)), _u388) = _u388) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I6_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I6_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u391) != hAPP(c_Com_Ocom_OBODY, _u393)) | ( _u391 = _u393) )).
% 43.29/43.54 cnf(fact_com_Osimps_I6_J-2, axiom, ( ( _u392 != _u394) | ( hAPP(c_Com_Ocom_OBODY, _u392) = hAPP(c_Com_Ocom_OBODY, _u394)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Sup__fin_Oidem ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Sup__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u395) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u395), _u396), _u396) = _u396) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Powp__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Powp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u397, tc_HOL_Obool)), _u398), _u399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u397, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u397, _u398)), c_Predicate_OPowp(_u397, _u399))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Body1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Body1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u400, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u400), tc_HOL_Obool)), _u401), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u400), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400))), hAPP(hAPP(c_COMBB(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u400)), _u402)), c_Com_Ocom_OBODY)), _u403)), _u404)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u400), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400))), hAPP(hAPP(c_COMBB(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u400)), _u402)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u403)), _u404)) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), _u405), _u404)) | c_Hoare__Mirabelle_Ohoare__derivs(_u400, _u401, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u400)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u400), hAPP(_u402, _u405)), hAPP(c_Com_Ocom_OBODY, _u405)), hAPP(_u403, _u405))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u400), tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_OBody ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_OBody-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u406))), _u407), _u408)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u406)), _u407), _u408)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc__elim__cases_I6_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc__elim__cases_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u409)), _u410), _u411)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u409))), _u410), _u411)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Body__triple__valid__Suc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Body__triple__valid__Suc-1, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u417, _u419, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u417), _u421), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u423))), _u425)) | c_Hoare__Mirabelle_Otriple__valid(_u417, hAPP(c_Nat_OSuc, _u419), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u417), _u421), hAPP(c_Com_Ocom_OBODY, _u423)), _u425)) )).
% 43.29/43.54 cnf(fact_Body__triple__valid__Suc-2, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u418, hAPP(c_Nat_OSuc, _u420), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u418), _u422), hAPP(c_Com_Ocom_OBODY, _u424)), _u426)) | c_Hoare__Mirabelle_Otriple__valid(_u418, _u420, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u418), _u422), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u424))), _u426)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_BodyN ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_BodyN-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u427, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u427)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u427), _u428), hAPP(c_Com_Ocom_OBODY, _u429)), _u430)), _u431), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u427)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u427), _u428), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u429))), _u430)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u427), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u427, _u431, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u427)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u427), _u428), hAPP(c_Com_Ocom_OBODY, _u429)), _u430)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u427), tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_mono__sup ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_mono__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u432) | ~class_Lattices_Osemilattice__sup(_u433) | ~c_Orderings_Oorder__class_Omono(_u433, _u432, _u434) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u432), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u432), hAPP(_u434, _u435)), hAPP(_u434, _u436))), hAPP(_u434, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u433), _u435), _u436)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__fun_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__fun_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u437) | ~class_Enum_Oenum(_u438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u438, _u437)), _u439), _u440)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u438), hAPP(hAPP(c_COMBS(_u438, _u437, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u437, tc_fun(_u437, tc_HOL_Obool), _u438), c_Orderings_Oord__class_Oless__eq(_u437)), _u439)), _u440))) )).
% 43.29/43.54 cnf(fact_order__fun_I1_J-2, axiom, ( ~class_Orderings_Oorder(_u437) | ~class_Enum_Oenum(_u438) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u438), hAPP(hAPP(c_COMBS(_u438, _u437, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u437, tc_fun(_u437, tc_HOL_Obool), _u438), c_Orderings_Oord__class_Oless__eq(_u437)), _u439)), _u440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u438, _u437)), _u439), _u440)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_Oequations_I9_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_Oequations_I9_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u444)), _u446), _u448)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u444))), _u446), _u448)) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u445))), _u447), _u449)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u445)), _u447), _u449)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_equalityCE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_equalityCE-1, axiom, ( ( _u450 != _u451) | hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u450)) | ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u451)) )).
% 43.29/43.54 cnf(fact_equalityCE-2, axiom, ( ( _u450 != _u451) | hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u451)) | ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u450)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_emptyE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_emptyE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u454), _u455), c_Orderings_Obot__class_Obot(tc_fun(_u454, tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insertE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insertE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u456), _u457), hAPP(hAPP(c_Set_Oinsert(_u456), _u458), _u459))) | ( _u457 = _u458) | hBOOL(hAPP(hAPP(c_member(_u456), _u457), _u459)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insertCI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insertCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u460), _u461), hAPP(hAPP(c_Set_Oinsert(_u460), _u463), _u462))) | ~hBOOL(hAPP(hAPP(c_member(_u460), _u461), _u462)) )).
% 43.29/43.54 cnf(fact_insertCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u460), _u461), hAPP(hAPP(c_Set_Oinsert(_u460), _u463), _u462))) | ( _u461 != _u463) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subsetD ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u464, tc_HOL_Obool)), _u465), _u466)) | ~hBOOL(hAPP(hAPP(c_member(_u464), _u467), _u465)) | hBOOL(hAPP(hAPP(c_member(_u464), _u467), _u466)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__eqI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__eqI-1, axiom, ( ( _u468 != hAPP(_u469, _u470)) | ~hBOOL(hAPP(hAPP(c_member(_u471), _u470), _u472)) | hBOOL(hAPP(hAPP(c_member(_u473), _u468), hAPP(c_Set_Oimage(_u471, _u473, _u469), _u472))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_UnE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_UnE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u474), _u475), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u474, tc_HOL_Obool)), _u476), _u477))) | hBOOL(hAPP(hAPP(c_member(_u474), _u475), _u476)) | hBOOL(hAPP(hAPP(c_member(_u474), _u475), _u477)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_UnCI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_UnCI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u478), _u479), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u478, tc_HOL_Obool)), _u481), _u480))) | ~hBOOL(hAPP(hAPP(c_member(_u478), _u479), _u480)) )).
% 43.29/43.54 cnf(fact_UnCI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u478), _u479), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u478, tc_HOL_Obool)), _u481), _u480))) | ~hBOOL(hAPP(hAPP(c_member(_u478), _u479), _u481)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_empty__subsetI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_empty__subsetI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u482, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u482, tc_HOL_Obool))), _u483)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_empty__not__insert ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_empty__not__insert-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u484, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u484), _u485), _u486)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__not__empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__not__empty-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u487), _u488), _u489) != c_Orderings_Obot__class_Obot(tc_fun(_u487, tc_HOL_Obool))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_bot__fun__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_bot__fun__def-1, axiom, ( ~class_Orderings_Obot(_u490) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u491, _u490)), _u492) = c_Orderings_Obot__class_Obot(_u490)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_bot__empty__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_bot__empty__eq-1, axiom, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u495, tc_HOL_Obool)), _u497)) | hBOOL(hAPP(hAPP(c_member(_u495), _u497), c_Orderings_Obot__class_Obot(tc_fun(_u495, tc_HOL_Obool)))) )).
% 43.29/43.54 cnf(fact_bot__empty__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u496), _u498), c_Orderings_Obot__class_Obot(tc_fun(_u496, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u496, tc_HOL_Obool)), _u498)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insertI1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insertI1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u499), _u500), hAPP(hAPP(c_Set_Oinsert(_u499), _u500), _u501))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_bot__apply ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_bot__apply-1, axiom, ( ~class_Orderings_Obot(_u502) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u503, _u502)), _u504) = c_Orderings_Obot__class_Obot(_u502)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_all__not__in__conv ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_all__not__in__conv-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u509), skolem10(_u511, _u509)), _u511)) | ( _u511 = c_Orderings_Obot__class_Obot(tc_fun(_u509, tc_HOL_Obool))) )).
% 43.29/43.54 cnf(fact_all__not__in__conv-2, axiom, ( ( _u512 != c_Orderings_Obot__class_Obot(tc_fun(_u510, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u510), _u506), _u512)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_ex__in__conv ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_ex__in__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u517), _u513), _u519)) | ( _u519 != c_Orderings_Obot__class_Obot(tc_fun(_u517, tc_HOL_Obool))) )).
% 43.29/43.54 cnf(fact_ex__in__conv-2, axiom, ( ( _u520 = c_Orderings_Obot__class_Obot(tc_fun(_u518, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u518), skolem11(_u520, _u518)), _u520)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_empty__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_empty__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u521), _u522), c_Orderings_Obot__class_Obot(tc_fun(_u521, tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_mem__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_mem__def-1, axiom, ( hBOOL(hAPP(_u530, _u528)) | ~hBOOL(hAPP(hAPP(c_member(_u526), _u528), _u530)) )).
% 43.29/43.54 cnf(fact_mem__def-2, axiom, ( ~hBOOL(hAPP(_u531, _u529)) | hBOOL(hAPP(hAPP(c_member(_u527), _u529), _u531)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_eq__mem ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_eq__mem-1, axiom, ( ( _u537 = _u539) | ~hBOOL(hAPP(hAPP(c_member(_u535), _u537), hAPP(c_fequal, _u539))) )).
% 43.29/43.54 cnf(fact_eq__mem-2, axiom, ( ( _u538 != _u540) | hBOOL(hAPP(hAPP(c_member(_u536), _u538), hAPP(c_fequal, _u540))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_singleton__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_singleton__iff-1, axiom, ( ( _u546 = _u548) | ~hBOOL(hAPP(hAPP(c_member(_u544), _u546), hAPP(hAPP(c_Set_Oinsert(_u544), _u548), c_Orderings_Obot__class_Obot(tc_fun(_u544, tc_HOL_Obool))))) )).
% 43.29/43.54 cnf(fact_singleton__iff-2, axiom, ( ( _u547 != _u549) | hBOOL(hAPP(hAPP(c_member(_u545), _u547), hAPP(hAPP(c_Set_Oinsert(_u545), _u549), c_Orderings_Obot__class_Obot(tc_fun(_u545, tc_HOL_Obool))))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__absorb2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__absorb2-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u550), _u551), hAPP(hAPP(c_Set_Oinsert(_u550), _u551), _u552)) = hAPP(hAPP(c_Set_Oinsert(_u550), _u551), _u552)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__commute ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__commute-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u553), _u554), hAPP(hAPP(c_Set_Oinsert(_u553), _u555), _u556)) = hAPP(hAPP(c_Set_Oinsert(_u553), _u555), hAPP(hAPP(c_Set_Oinsert(_u553), _u554), _u556))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u561), _u563), hAPP(hAPP(c_Set_Oinsert(_u561), _u565), _u567))) | ( _u563 = _u565) | hBOOL(hAPP(hAPP(c_member(_u561), _u563), _u567)) )).
% 43.29/43.54 cnf(fact_insert__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u562), _u564), hAPP(hAPP(c_Set_Oinsert(_u562), _u566), _u568))) | ( _u564 != _u566) )).
% 43.29/43.54 cnf(fact_insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u562), _u564), hAPP(hAPP(c_Set_Oinsert(_u562), _u566), _u568))) | ~hBOOL(hAPP(hAPP(c_member(_u562), _u564), _u568)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_doubleton__eq__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_doubleton__eq__iff-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u574), _u576), hAPP(hAPP(c_Set_Oinsert(_u574), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u574), _u580), hAPP(hAPP(c_Set_Oinsert(_u574), _u582), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))))) | ( _u576 = _u580) | ( _u576 = _u582) )).
% 43.29/43.54 cnf(fact_doubleton__eq__iff-2, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u574), _u576), hAPP(hAPP(c_Set_Oinsert(_u574), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u574), _u580), hAPP(hAPP(c_Set_Oinsert(_u574), _u582), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))))) | ( _u576 = _u580) | ( _u578 = _u580) )).
% 43.29/43.54 cnf(fact_doubleton__eq__iff-3, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u574), _u576), hAPP(hAPP(c_Set_Oinsert(_u574), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u574), _u580), hAPP(hAPP(c_Set_Oinsert(_u574), _u582), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))))) | ( _u578 = _u582) | ( _u576 = _u582) )).
% 43.29/43.54 cnf(fact_doubleton__eq__iff-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u574), _u576), hAPP(hAPP(c_Set_Oinsert(_u574), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u574), _u580), hAPP(hAPP(c_Set_Oinsert(_u574), _u582), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))))) | ( _u578 = _u582) | ( _u578 = _u580) )).
% 43.29/43.54 cnf(fact_doubleton__eq__iff-5, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u575), _u577), hAPP(hAPP(c_Set_Oinsert(_u575), _u579), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u575), _u581), hAPP(hAPP(c_Set_Oinsert(_u575), _u583), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool))))) | ( _u577 != _u581) | ( _u579 != _u583) )).
% 43.29/43.54 cnf(fact_doubleton__eq__iff-6, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u575), _u577), hAPP(hAPP(c_Set_Oinsert(_u575), _u579), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u575), _u581), hAPP(hAPP(c_Set_Oinsert(_u575), _u583), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool))))) | ( _u577 != _u583) | ( _u579 != _u581) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__code ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__code-1, axiom, ( ( _u590 = _u594) | hBOOL(hAPP(_u592, _u594)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u588), _u590), _u592), _u594)) )).
% 43.29/43.54 cnf(fact_insert__code-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u589), _u591), _u593), _u595)) | ( _u591 != _u595) )).
% 43.29/43.54 cnf(fact_insert__code-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u589), _u591), _u593), _u595)) | ~hBOOL(hAPP(_u593, _u595)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__ident ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__ident-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u596), _u597), _u598)) | hBOOL(hAPP(hAPP(c_member(_u596), _u597), _u599)) | ( hAPP(hAPP(c_Set_Oinsert(_u596), _u597), _u598) != hAPP(hAPP(c_Set_Oinsert(_u596), _u597), _u599)) | ( _u598 = _u599) )).
% 43.29/43.54 cnf(fact_insert__ident-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u596), _u597), _u598)) | hBOOL(hAPP(hAPP(c_member(_u596), _u597), _u599)) | ( _u598 != _u599) | ( hAPP(hAPP(c_Set_Oinsert(_u596), _u597), _u598) = hAPP(hAPP(c_Set_Oinsert(_u596), _u597), _u599)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_equals0D ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_equals0D-1, axiom, ( ( _u600 != c_Orderings_Obot__class_Obot(tc_fun(_u601, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u601), _u602), _u600)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insertI2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u603), _u604), _u605)) | hBOOL(hAPP(hAPP(c_member(_u603), _u604), hAPP(hAPP(c_Set_Oinsert(_u603), _u606), _u605))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__absorb ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u607), _u608), _u609)) | ( hAPP(hAPP(c_Set_Oinsert(_u607), _u608), _u609) = _u609) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_eqset__imp__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_eqset__imp__iff-1, axiom, ( ( _u610 != _u611) | ~hBOOL(hAPP(hAPP(c_member(_u612), _u613), _u610)) | hBOOL(hAPP(hAPP(c_member(_u612), _u613), _u611)) )).
% 43.29/43.54 cnf(fact_eqset__imp__iff-2, axiom, ( ( _u610 != _u611) | ~hBOOL(hAPP(hAPP(c_member(_u612), _u613), _u611)) | hBOOL(hAPP(hAPP(c_member(_u612), _u613), _u610)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_eqelem__imp__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_eqelem__imp__iff-1, axiom, ( ( _u614 != _u615) | ~hBOOL(hAPP(hAPP(c_member(_u616), _u614), _u617)) | hBOOL(hAPP(hAPP(c_member(_u616), _u615), _u617)) )).
% 43.29/43.54 cnf(fact_eqelem__imp__iff-2, axiom, ( ( _u614 != _u615) | ~hBOOL(hAPP(hAPP(c_member(_u616), _u615), _u617)) | hBOOL(hAPP(hAPP(c_member(_u616), _u614), _u617)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_eq__mem__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_eq__mem__trans-1, axiom, ( ( _u618 != _u619) | ~hBOOL(hAPP(hAPP(c_member(_u620), _u619), _u621)) | hBOOL(hAPP(hAPP(c_member(_u620), _u618), _u621)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_singletonE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_singletonE-1, axiom, ( ( _u623 = _u624) | ~hBOOL(hAPP(hAPP(c_member(_u622), _u623), hAPP(hAPP(c_Set_Oinsert(_u622), _u624), c_Orderings_Obot__class_Obot(tc_fun(_u622, tc_HOL_Obool))))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_singleton__inject ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_singleton__inject-1, axiom, ( ( _u626 = _u627) | ( hAPP(hAPP(c_Set_Oinsert(_u625), _u626), c_Orderings_Obot__class_Obot(tc_fun(_u625, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u625), _u627), c_Orderings_Obot__class_Obot(tc_fun(_u625, tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com__det ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com__det-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u628), _u629), _u630)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u628), _u629), _u631)) | ( _u631 = _u630) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_triple__valid__Suc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_triple__valid__Suc-1, axiom, ( ~c_Hoare__Mirabelle_Otriple__valid(_u632, hAPP(c_Nat_OSuc, _u633), _u634) | c_Hoare__Mirabelle_Otriple__valid(_u632, _u633, _u634) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_all__code ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_all__code-1, axiom, ( ~class_Enum_Oenum(_u637) | ~hBOOL(hAPP(_u638, skolem12(_u638, _u637))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u637), _u638)) )).
% 43.29/43.54 cnf(fact_all__code-2, axiom, ( ~class_Enum_Oenum(_u637) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u637), _u638)) | hBOOL(hAPP(_u638, _u636)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_enum__all ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_enum__all-1, axiom, ( ~class_Enum_Oenum(_u641) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u641), _u642)) | hBOOL(hAPP(_u642, _u639)) )).
% 43.29/43.54 cnf(fact_enum__all-2, axiom, ( ~class_Enum_Oenum(_u641) | ~hBOOL(hAPP(_u642, skolem13(_u642, _u641))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u641), _u642)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__constant ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__constant-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u643), _u644), _u645)) | ( hAPP(c_Set_Oimage(_u643, _u646, hAPP(c_COMBK(_u646, _u643), _u647)), _u645) = hAPP(hAPP(c_Set_Oinsert(_u646), _u647), c_Orderings_Obot__class_Obot(tc_fun(_u646, tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__insert ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u648), _u649), _u650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u650), hAPP(hAPP(c_Set_Oinsert(_u648), _u649), _u651))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u650), _u651)) )).
% 43.29/43.54 cnf(fact_subset__insert-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u648), _u649), _u650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u650), _u651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u650), hAPP(hAPP(c_Set_Oinsert(_u648), _u649), _u651))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__subset ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u656, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u656), _u658), _u660)), _u662)) | hBOOL(hAPP(hAPP(c_member(_u656), _u658), _u662)) )).
% 43.29/43.54 cnf(fact_insert__subset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u656, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u656), _u658), _u660)), _u662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u656, tc_HOL_Obool)), _u660), _u662)) )).
% 43.29/43.54 cnf(fact_insert__subset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u657), _u659), _u663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u657, tc_HOL_Obool)), _u661), _u663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u657, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u657), _u659), _u661)), _u663)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__image ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u664), _u665), _u666)) | ( hAPP(hAPP(c_Set_Oinsert(_u667), hAPP(_u668, _u665)), hAPP(c_Set_Oimage(_u664, _u667, _u668), _u666)) = hAPP(c_Set_Oimage(_u664, _u667, _u668), _u666)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__singletonD ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__singletonD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u669, tc_HOL_Obool)), _u670), hAPP(hAPP(c_Set_Oinsert(_u669), _u671), c_Orderings_Obot__class_Obot(tc_fun(_u669, tc_HOL_Obool))))) | ( _u670 = c_Orderings_Obot__class_Obot(tc_fun(_u669, tc_HOL_Obool))) | ( _u670 = hAPP(hAPP(c_Set_Oinsert(_u669), _u671), c_Orderings_Obot__class_Obot(tc_fun(_u669, tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__is__Un ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__is__Un-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u672), _u673), _u674) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u672, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u672), _u673), c_Orderings_Obot__class_Obot(tc_fun(_u672, tc_HOL_Obool)))), _u674)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_pred__equals__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_pred__equals__eq-1, axiom, ( ( _u680 = _u682) | ( hAPP(hAPP(c_COMBC(_u678, tc_fun(_u678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u678)), _u680) != hAPP(hAPP(c_COMBC(_u678, tc_fun(_u678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u678)), _u682)) )).
% 43.29/43.54 cnf(fact_pred__equals__eq-2, axiom, ( ( _u681 != _u683) | ( hAPP(hAPP(c_COMBC(_u679, tc_fun(_u679, tc_HOL_Obool), tc_HOL_Obool), c_member(_u679)), _u681) = hAPP(hAPP(c_COMBC(_u679, tc_fun(_u679, tc_HOL_Obool), tc_HOL_Obool), c_member(_u679)), _u683)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_hoare__derivs_Oinsert ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_hoare__derivs_Oinsert-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u684, _u685, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u684)), _u686), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u684), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u684, _u685, _u687) | c_Hoare__Mirabelle_Ohoare__derivs(_u684, _u685, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u684)), _u686), _u687)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__constant__conv ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__constant__conv-1, axiom, ( ( _u692 != c_Orderings_Obot__class_Obot(tc_fun(_u694, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u694, _u696, hAPP(c_COMBK(_u696, _u694), _u698)), _u692) = c_Orderings_Obot__class_Obot(tc_fun(_u696, tc_HOL_Obool))) )).
% 43.29/43.54 cnf(fact_image__constant__conv-2, axiom, ( ( _u693 = c_Orderings_Obot__class_Obot(tc_fun(_u695, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u695, _u697, hAPP(c_COMBK(_u697, _u695), _u699)), _u693) = hAPP(hAPP(c_Set_Oinsert(_u697), _u699), c_Orderings_Obot__class_Obot(tc_fun(_u697, tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__insertI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__insertI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u700, tc_HOL_Obool)), _u701), hAPP(hAPP(c_Set_Oinsert(_u700), _u702), _u701))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__insertI2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__insertI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u703, tc_HOL_Obool)), _u704), _u705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u703, tc_HOL_Obool)), _u704), hAPP(hAPP(c_Set_Oinsert(_u703), _u706), _u705))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u707, tc_HOL_Obool)), _u708), _u709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u707, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u707), _u710), _u708)), hAPP(hAPP(c_Set_Oinsert(_u707), _u710), _u709))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__insert ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__insert-1, axiom, ( ( hAPP(c_Set_Oimage(_u711, _u712, _u713), hAPP(hAPP(c_Set_Oinsert(_u711), _u714), _u715)) = hAPP(hAPP(c_Set_Oinsert(_u712), hAPP(_u713, _u714)), hAPP(c_Set_Oimage(_u711, _u712, _u713), _u715))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__insert__right ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__insert__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u716, tc_HOL_Obool)), _u717), hAPP(hAPP(c_Set_Oinsert(_u716), _u718), _u719)) = hAPP(hAPP(c_Set_Oinsert(_u716), _u718), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u716, tc_HOL_Obool)), _u717), _u719))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__insert__left ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__insert__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u720, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u720), _u721), _u722)), _u723) = hAPP(hAPP(c_Set_Oinsert(_u720), _u721), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u720, tc_HOL_Obool)), _u722), _u723))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_in__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_in__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u724, tc_HOL_Obool)), _u725), _u726)) | ~hBOOL(hAPP(hAPP(c_member(_u724), _u727), _u725)) | hBOOL(hAPP(hAPP(c_member(_u724), _u727), _u726)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_set__rev__mp ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_set__rev__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u728), _u729), _u730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u728, tc_HOL_Obool)), _u730), _u731)) | hBOOL(hAPP(hAPP(c_member(_u728), _u729), _u731)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_set__mp ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_set__mp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u732, tc_HOL_Obool)), _u733), _u734)) | ~hBOOL(hAPP(hAPP(c_member(_u732), _u735), _u733)) | hBOOL(hAPP(hAPP(c_member(_u732), _u735), _u734)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u743), _u745), hAPP(c_Set_Oimage(_u747, _u743, _u749), _u751))) | hBOOL(hAPP(hAPP(c_member(_u747), skolem14(_u751, _u749, _u747, _u745)), _u751)) )).
% 43.29/43.54 cnf(fact_image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u743), _u745), hAPP(c_Set_Oimage(_u747, _u743, _u749), _u751))) | ( _u745 = hAPP(_u749, skolem14(_u751, _u749, _u747, _u745))) )).
% 43.29/43.54 cnf(fact_image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u748), _u737), _u752)) | ( _u746 != hAPP(_u750, _u737)) | hBOOL(hAPP(hAPP(c_member(_u744), _u746), hAPP(c_Set_Oimage(_u748, _u744, _u750), _u752))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_imageI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u753), _u754), _u755)) | hBOOL(hAPP(hAPP(c_member(_u756), hAPP(_u757, _u754)), hAPP(c_Set_Oimage(_u753, _u756, _u757), _u755))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_rev__image__eqI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_rev__image__eqI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u758), _u759), _u760)) | ( _u761 != hAPP(_u762, _u759)) | hBOOL(hAPP(hAPP(c_member(_u763), _u761), hAPP(c_Set_Oimage(_u758, _u763, _u762), _u760))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u768), _u770), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u768, tc_HOL_Obool)), _u772), _u774))) | hBOOL(hAPP(hAPP(c_member(_u768), _u770), _u772)) | hBOOL(hAPP(hAPP(c_member(_u768), _u770), _u774)) )).
% 43.29/43.54 cnf(fact_Un__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u769), _u771), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u769, tc_HOL_Obool)), _u773), _u775))) | ~hBOOL(hAPP(hAPP(c_member(_u769), _u771), _u773)) )).
% 43.29/43.54 cnf(fact_Un__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u769), _u771), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u769, tc_HOL_Obool)), _u773), _u775))) | ~hBOOL(hAPP(hAPP(c_member(_u769), _u771), _u775)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_UnI1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_UnI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u776), _u777), _u778)) | hBOOL(hAPP(hAPP(c_member(_u776), _u777), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u776, tc_HOL_Obool)), _u778), _u779))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_UnI2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_UnI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u780), _u781), _u782)) | hBOOL(hAPP(hAPP(c_member(_u780), _u781), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u780, tc_HOL_Obool)), _u783), _u782))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u786, tc_HOL_Obool)), _u788), c_Orderings_Obot__class_Obot(tc_fun(_u786, tc_HOL_Obool)))) | ( _u788 = c_Orderings_Obot__class_Obot(tc_fun(_u786, tc_HOL_Obool))) )).
% 43.29/43.54 cnf(fact_subset__empty-2, axiom, ( ( _u789 != c_Orderings_Obot__class_Obot(tc_fun(_u787, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u787, tc_HOL_Obool)), _u789), c_Orderings_Obot__class_Obot(tc_fun(_u787, tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_empty__is__image ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_empty__is__image-1, axiom, ( ( _u800 = c_Orderings_Obot__class_Obot(tc_fun(_u796, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u794, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u796, _u794, _u798), _u800)) )).
% 43.29/43.54 cnf(fact_empty__is__image-2, axiom, ( ( _u801 != c_Orderings_Obot__class_Obot(tc_fun(_u797, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u795, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u797, _u795, _u799), _u801)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u802, _u803, _u804), c_Orderings_Obot__class_Obot(tc_fun(_u802, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u803, tc_HOL_Obool))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__is__empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__is__empty-1, axiom, ( ( hAPP(c_Set_Oimage(_u809, _u811, _u813), _u815) != c_Orderings_Obot__class_Obot(tc_fun(_u811, tc_HOL_Obool))) | ( _u815 = c_Orderings_Obot__class_Obot(tc_fun(_u809, tc_HOL_Obool))) )).
% 43.29/43.54 cnf(fact_image__is__empty-2, axiom, ( ( _u816 != c_Orderings_Obot__class_Obot(tc_fun(_u810, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u810, _u812, _u814), _u816) = c_Orderings_Obot__class_Obot(tc_fun(_u812, tc_HOL_Obool))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__empty__left ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u817, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u817, tc_HOL_Obool))), _u818) = _u818) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__empty__right ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u819, tc_HOL_Obool)), _u820), c_Orderings_Obot__class_Obot(tc_fun(_u819, tc_HOL_Obool))) = _u820) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__empty-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u824, tc_HOL_Obool)), _u826), _u828) != c_Orderings_Obot__class_Obot(tc_fun(_u824, tc_HOL_Obool))) | ( _u826 = c_Orderings_Obot__class_Obot(tc_fun(_u824, tc_HOL_Obool))) )).
% 43.29/43.54 cnf(fact_Un__empty-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u824, tc_HOL_Obool)), _u826), _u828) != c_Orderings_Obot__class_Obot(tc_fun(_u824, tc_HOL_Obool))) | ( _u828 = c_Orderings_Obot__class_Obot(tc_fun(_u824, tc_HOL_Obool))) )).
% 43.29/43.54 cnf(fact_Un__empty-3, axiom, ( ( _u827 != c_Orderings_Obot__class_Obot(tc_fun(_u825, tc_HOL_Obool))) | ( _u829 != c_Orderings_Obot__class_Obot(tc_fun(_u825, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u825, tc_HOL_Obool)), _u827), _u829) = c_Orderings_Obot__class_Obot(tc_fun(_u825, tc_HOL_Obool))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_empty-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u830, _u831, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u830), tc_HOL_Obool))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_hoare__derivs_Oequations_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_hoare__derivs_Oequations_I1_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u832, _u833, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u832), tc_HOL_Obool))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_monoD ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_monoD-1, axiom, ( ~class_Orderings_Oorder(_u834) | ~class_Orderings_Oorder(_u835) | ~c_Orderings_Oorder__class_Omono(_u835, _u834, _u836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u835), _u837), _u838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u834), hAPP(_u836, _u837)), hAPP(_u836, _u838))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_pred__subset__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_pred__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u842, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u842, tc_fun(_u842, tc_HOL_Obool), tc_HOL_Obool), c_member(_u842)), _u844)), hAPP(hAPP(c_COMBC(_u842, tc_fun(_u842, tc_HOL_Obool), tc_HOL_Obool), c_member(_u842)), _u846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u842, tc_HOL_Obool)), _u844), _u846)) )).
% 43.29/43.54 cnf(fact_pred__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u843, tc_HOL_Obool)), _u845), _u847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u843, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u843, tc_fun(_u843, tc_HOL_Obool), tc_HOL_Obool), c_member(_u843)), _u845)), hAPP(hAPP(c_COMBC(_u843, tc_fun(_u843, tc_HOL_Obool), tc_HOL_Obool), c_member(_u843)), _u847))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__Un__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__Un__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u852, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u852, tc_fun(_u852, tc_HOL_Obool), tc_HOL_Obool), c_member(_u852)), _u854)), hAPP(hAPP(c_COMBC(_u852, tc_fun(_u852, tc_HOL_Obool), tc_HOL_Obool), c_member(_u852)), _u856)), _u858)) | hBOOL(hAPP(hAPP(c_member(_u852), _u858), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u852, tc_HOL_Obool)), _u854), _u856))) )).
% 43.29/43.54 cnf(fact_sup__Un__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u853), _u859), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), _u855), _u857))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u853, tc_fun(_u853, tc_HOL_Obool), tc_HOL_Obool), c_member(_u853)), _u855)), hAPP(hAPP(c_COMBC(_u853, tc_fun(_u853, tc_HOL_Obool), tc_HOL_Obool), c_member(_u853)), _u857)), _u859)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_bot__least ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_bot__least-1, axiom, ( ~class_Orderings_Obot(_u860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u860), c_Orderings_Obot__class_Obot(_u860)), _u861)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__bot__left ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u862) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u862), c_Orderings_Obot__class_Obot(_u862)), _u863) = _u863) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__bot__right ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u864) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u864), _u865), c_Orderings_Obot__class_Obot(_u864)) = _u865) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_sup__eq__bot__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_sup__eq__bot__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u866) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u866), _u867), _u868) != c_Orderings_Obot__class_Obot(_u866)) | ( _u867 = c_Orderings_Obot__class_Obot(_u866)) )).
% 43.29/43.54 cnf(fact_sup__eq__bot__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u866) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u866), _u867), _u868) != c_Orderings_Obot__class_Obot(_u866)) | ( _u868 = c_Orderings_Obot__class_Obot(_u866)) )).
% 43.29/43.54 cnf(fact_sup__eq__bot__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u866) | ( _u867 != c_Orderings_Obot__class_Obot(_u866)) | ( _u868 != c_Orderings_Obot__class_Obot(_u866)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u866), _u867), _u868) = c_Orderings_Obot__class_Obot(_u866)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_mono__Un ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_mono__Un-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u869, tc_HOL_Obool), tc_fun(_u870, tc_HOL_Obool), _u871) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u870, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u870, tc_HOL_Obool)), hAPP(_u871, _u872)), hAPP(_u871, _u873))), hAPP(_u871, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u869, tc_HOL_Obool)), _u872), _u873)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_MGT__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_MGT__def-1, axiom, ( ( c_Hoare__Mirabelle_OMGT(_u874) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u874), c_Natural_Oevalc(_u874))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_the__elem__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_the__elem__eq-1, axiom, ( ( c_Set_Othe__elem(_u875, hAPP(hAPP(c_Set_Oinsert(_u875), _u876), c_Orderings_Obot__class_Obot(tc_fun(_u875, tc_HOL_Obool)))) = _u876) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Least__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Least__mono-1, axiom, ( ~class_Orderings_Oorder(_u879) | ~class_Orderings_Oorder(_u880) | ~c_Orderings_Oorder__class_Omono(_u880, _u879, _u881) | ( c_Orderings_Oord__class_OLeast(_u879, hAPP(hAPP(c_COMBC(_u879, tc_fun(_u879, tc_HOL_Obool), tc_HOL_Obool), c_member(_u879)), hAPP(c_Set_Oimage(_u880, _u879, _u881), _u882))) = hAPP(_u881, c_Orderings_Oord__class_OLeast(_u880, hAPP(hAPP(c_COMBC(_u880, tc_fun(_u880, tc_HOL_Obool), tc_HOL_Obool), c_member(_u880)), _u882)))) | ~hBOOL(hAPP(hAPP(c_member(_u880), _u878), _u882)) | hBOOL(hAPP(hAPP(c_member(_u880), skolem15(_u882, _u881, _u880, _u879, _u878)), _u882)) )).
% 43.29/43.54 cnf(fact_Least__mono-2, axiom, ( ~class_Orderings_Oorder(_u879) | ~class_Orderings_Oorder(_u880) | ~c_Orderings_Oorder__class_Omono(_u880, _u879, _u881) | ( c_Orderings_Oord__class_OLeast(_u879, hAPP(hAPP(c_COMBC(_u879, tc_fun(_u879, tc_HOL_Obool), tc_HOL_Obool), c_member(_u879)), hAPP(c_Set_Oimage(_u880, _u879, _u881), _u882))) = hAPP(_u881, c_Orderings_Oord__class_OLeast(_u880, hAPP(hAPP(c_COMBC(_u880, tc_fun(_u880, tc_HOL_Obool), tc_HOL_Obool), c_member(_u880)), _u882)))) | ~hBOOL(hAPP(hAPP(c_member(_u880), _u878), _u882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u880), _u878), skolem15(_u882, _u881, _u880, _u879, _u878))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_mono__iff__le__Suc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_mono__iff__le__Suc-1, axiom, ( ~class_Orderings_Oorder(_u885) | ~c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u885, _u886) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u885), hAPP(_u886, _u883)), hAPP(_u886, hAPP(c_Nat_OSuc, _u883)))) )).
% 43.29/43.54 cnf(fact_mono__iff__le__Suc-2, axiom, ( ~class_Orderings_Oorder(_u885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u885), hAPP(_u886, skolem16(_u886, _u885))), hAPP(_u886, hAPP(c_Nat_OSuc, skolem16(_u886, _u885))))) | c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u885, _u886) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_escape ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_escape-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u890, _u891, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u890)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u890), _u889), _u892), _u893)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u890), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u889, skolem17(_u893, _u892, _u891, _u890, _u889)), skolem18(_u893, _u892, _u891, _u890, _u889))) )).
% 43.29/43.54 cnf(fact_escape-2, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u890, _u891, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u890)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u890), _u889), _u892), _u893)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u890), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u890, _u891, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u890)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u890), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u890), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem18(_u893, _u892, _u891, _u890, _u889)))), _u892), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u890), hAPP(_u893, skolem17(_u893, _u892, _u891, _u890, _u889))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u890), tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_hoare__derivs_OSkip ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_hoare__derivs_OSkip-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u894, _u895, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u894)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u894), _u896), c_Com_Ocom_OSKIP), _u896)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u894), tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_hoare__derivs_Oequations_I7_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_hoare__derivs_Oequations_I7_J-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u897, _u898, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u897)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u897), _u899), c_Com_Ocom_OSKIP), _u899)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u897), tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_conseq2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_conseq2-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u902, _u903, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u902)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u902), _u904), _u905), _u906)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u902), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u902, _u903, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u902)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u902), _u904), _u905), _u907)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u902), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u906, skolem19(_u907, _u906, _u905, _u904, _u903, _u902)), skolem20(_u907, _u906, _u905, _u904, _u903, _u902))) )).
% 43.29/43.54 cnf(fact_conseq2-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u902, _u903, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u902)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u902), _u904), _u905), _u906)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u902), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u902, _u903, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u902)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u902), _u904), _u905), _u907)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u902), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u907, skolem19(_u907, _u906, _u905, _u904, _u903, _u902)), skolem20(_u907, _u906, _u905, _u904, _u903, _u902))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_conseq1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_conseq1-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u910, _u911, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u910)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u910), _u912), _u913), _u914)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u910), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u910, _u911, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u910)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u910), _u915), _u913), _u914)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u910), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u915, skolem21(_u915, _u914, _u913, _u912, _u911, _u910)), skolem22(_u915, _u914, _u913, _u912, _u911, _u910))) )).
% 43.29/43.54 cnf(fact_conseq1-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u910, _u911, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u910)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u910), _u912), _u913), _u914)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u910), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u910, _u911, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u910)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u910), _u915), _u913), _u914)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u910), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u912, skolem21(_u915, _u914, _u913, _u912, _u911, _u910)), skolem22(_u915, _u914, _u913, _u912, _u911, _u910))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Comp ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Comp-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u916, _u917, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u916)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u916), _u918), _u919), _u920)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u916), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u916, _u917, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u916)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u916), _u920), _u921), _u922)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u916), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u916, _u917, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u916)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u916), _u918), c_Com_Ocom_OSemi(_u919, _u921)), _u922)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u916), tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_OSemi ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_OSemi-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u923), _u924), _u925)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u926), _u925), _u927)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u923, _u926)), _u924), _u927)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_OSkip ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_OSkip-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u928), _u928)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc__elim__cases_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc__elim__cases_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u929), _u930)) | ( _u930 = _u929) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I3_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I3_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u935, _u937) != c_Com_Ocom_OSemi(_u939, _u941)) | ( _u935 = _u939) )).
% 43.29/43.54 cnf(fact_com_Osimps_I3_J-2, axiom, ( ( c_Com_Ocom_OSemi(_u935, _u937) != c_Com_Ocom_OSemi(_u939, _u941)) | ( _u937 = _u941) )).
% 43.29/43.54 cnf(fact_com_Osimps_I3_J-3, axiom, ( ( _u936 != _u940) | ( _u938 != _u942) | ( c_Com_Ocom_OSemi(_u936, _u938) = c_Com_Ocom_OSemi(_u940, _u942)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I13_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I13_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u943, _u944) != c_Com_Ocom_OSKIP) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I12_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I12_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u945, _u946)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_LeastI__ex ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_LeastI__ex-1, axiom, ( ~class_Orderings_Owellorder(_u948) | ~hBOOL(hAPP(_u949, _u947)) | hBOOL(hAPP(_u949, c_Orderings_Oord__class_OLeast(_u948, _u949))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_LeastI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_LeastI-1, axiom, ( ~class_Orderings_Owellorder(_u950) | ~hBOOL(hAPP(_u951, _u952)) | hBOOL(hAPP(_u951, c_Orderings_Oord__class_OLeast(_u950, _u951))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_Oequations_I4_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_Oequations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u959, _u961)), _u963), _u965)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u959), _u963), skolem23(_u965, _u963, _u961, _u959))) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u959, _u961)), _u963), _u965)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u961), skolem23(_u965, _u963, _u961, _u959)), _u965)) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u960), _u964), _u954)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u962), _u954), _u966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u960, _u962)), _u964), _u966)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I48_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I48_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u967, _u968) != hAPP(c_Com_Ocom_OBODY, _u969)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I49_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I49_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u970) != c_Com_Ocom_OSemi(_u971, _u972)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_Oequations_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u973), _u973)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I19_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I19_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u974) != c_Com_Ocom_OSKIP) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I18_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I18_J-1, axiom, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u975)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Least__le ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Least__le-1, axiom, ( ~class_Orderings_Owellorder(_u976) | ~hBOOL(hAPP(_u977, _u978)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u976), c_Orderings_Oord__class_OLeast(_u976, _u977)), _u978)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_mono__Suc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_mono__Suc-1, axiom, ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_n__not__Suc__n ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_n__not__Suc__n-1, axiom, ( ( _u979 != hAPP(c_Nat_OSuc, _u979)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Suc__n__not__n ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Suc__n__not__n-1, axiom, ( ( hAPP(c_Nat_OSuc, _u980) != _u980) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_nat_Oinject ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_nat_Oinject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u983) != hAPP(c_Nat_OSuc, _u985)) | ( _u983 = _u985) )).
% 43.29/43.54 cnf(fact_nat_Oinject-2, axiom, ( ( _u984 != _u986) | ( hAPP(c_Nat_OSuc, _u984) = hAPP(c_Nat_OSuc, _u986)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Suc__inject ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Suc__inject-1, axiom, ( ( hAPP(c_Nat_OSuc, _u987) != hAPP(c_Nat_OSuc, _u988)) | ( _u987 = _u988) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Suc__leD ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Suc__leD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u989)), _u990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u989), _u990)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__SucE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u991), hAPP(c_Nat_OSuc, _u992))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u991), _u992)) | ( _u991 = hAPP(c_Nat_OSuc, _u992)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__SucI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u993), _u994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u993), hAPP(c_Nat_OSuc, _u994))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Suc__le__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Suc__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u997)), hAPP(c_Nat_OSuc, _u999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u997), _u999)) )).
% 43.29/43.54 cnf(fact_Suc__le__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u998), _u1000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u998)), hAPP(c_Nat_OSuc, _u1000))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__Suc__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1003), hAPP(c_Nat_OSuc, _u1005))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1003), _u1005)) | ( _u1003 = hAPP(c_Nat_OSuc, _u1005)) )).
% 43.29/43.54 cnf(fact_le__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1004), hAPP(c_Nat_OSuc, _u1006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1004), _u1006)) )).
% 43.29/43.54 cnf(fact_le__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1004), hAPP(c_Nat_OSuc, _u1006))) | ( _u1004 != hAPP(c_Nat_OSuc, _u1006)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_not__less__eq__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_not__less__eq__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1009), _u1011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1011)), _u1009)) )).
% 43.29/43.54 cnf(fact_not__less__eq__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1012)), _u1010)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1010), _u1012)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Suc__n__not__le__n ( axiom ) converted to clauses:
% 43.29/43.54 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, _u1013)), _u1013)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_coinduct3__mono__lemma ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_coinduct3__mono__lemma-1, axiom, ( ~class_Orderings_Oorder(_u1014) | ~c_Orderings_Oorder__class_Omono(_u1014, tc_fun(_u1015, tc_HOL_Obool), _u1016) | c_Orderings_Oorder__class_Omono(_u1014, tc_fun(_u1015, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1014, tc_fun(_u1015, tc_HOL_Obool), tc_fun(_u1015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1015, tc_HOL_Obool), tc_fun(tc_fun(_u1015, tc_HOL_Obool), tc_fun(_u1015, tc_HOL_Obool)), _u1014), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1015, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u1014, tc_fun(_u1015, tc_HOL_Obool), tc_fun(_u1015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1015, tc_HOL_Obool), tc_fun(tc_fun(_u1015, tc_HOL_Obool), tc_fun(_u1015, tc_HOL_Obool)), _u1014), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1015, tc_HOL_Obool))), _u1016)), _u1017))), _u1018)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_OBody ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_OBody-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1019)), _u1020, _u1021, _u1022) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1019), _u1020, hAPP(c_Nat_OSuc, _u1021), _u1022) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_the__elem__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_the__elem__def-1, axiom, ( ( c_Set_Othe__elem(_u1023, _u1024) = c_HOL_OThe(_u1023, hAPP(hAPP(c_COMBB(tc_fun(_u1023, tc_HOL_Obool), tc_HOL_Obool, _u1023), hAPP(c_fequal, _u1024)), hAPP(hAPP(c_COMBC(_u1023, tc_fun(_u1023, tc_HOL_Obool), tc_fun(_u1023, tc_HOL_Obool)), c_Set_Oinsert(_u1023)), c_Orderings_Obot__class_Obot(tc_fun(_u1023, tc_HOL_Obool)))))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_LoopF ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_LoopF-1, axiom, ( c_Hoare__Mirabelle_Ohoare__derivs(_u1025, _u1026, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1025)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1025), hAPP(hAPP(c_COMBC(_u1025, tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u1025), c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u1025), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u1027))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u1028))), c_Com_Ocom_OWhile(_u1028, _u1029)), _u1027)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1025), tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_Oequations_I9_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_Oequations_I9_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1034), _u1036, hAPP(c_Nat_OSuc, _u1038), _u1040) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1034)), _u1036, _u1038, _u1040) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I9_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1035)), _u1037, _u1039, _u1041) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1035), _u1037, hAPP(c_Nat_OSuc, _u1039), _u1041) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Body__triple__valid__0 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Body__triple__valid__0-1, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u1042, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1042), _u1043), hAPP(c_Com_Ocom_OBODY, _u1044)), _u1045)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__Pow__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1046, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1047, _u1046, _u1048), _u1049)), _u1050)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1046, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u1047, tc_HOL_Obool), tc_fun(_u1046, tc_HOL_Obool), c_Set_Oimage(_u1047, _u1046, _u1048)), hAPP(c_Set_OPow(_u1047), _u1049))), hAPP(c_Set_OPow(_u1046), _u1050))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_override__on__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_override__on__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1057), _u1059), _u1061)) | ( hAPP(c_Fun_Ooverride__on(_u1057, _u1063, _u1065, _u1067, _u1061), _u1059) = hAPP(_u1067, _u1059)) )).
% 43.29/43.54 cnf(fact_override__on__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1058), _u1060), _u1062)) | ( hAPP(c_Fun_Ooverride__on(_u1058, _u1064, _u1066, _u1068, _u1062), _u1060) = hAPP(_u1066, _u1060)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__single__insert ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__single__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1069, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1069, tc_HOL_Obool)), _u1070), hAPP(hAPP(c_Set_Oinsert(_u1069), _u1071), c_Orderings_Obot__class_Obot(tc_fun(_u1069, tc_HOL_Obool))))), _u1072)) | ~hBOOL(hAPP(hAPP(c_member(_u1069), _u1071), _u1070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1069, tc_HOL_Obool)), _u1070), hAPP(hAPP(c_Set_Oinsert(_u1069), _u1071), _u1072))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_subset__insert__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_subset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1077, tc_HOL_Obool)), _u1079), hAPP(hAPP(c_Set_Oinsert(_u1077), _u1081), _u1083))) | ~hBOOL(hAPP(hAPP(c_member(_u1077), _u1081), _u1079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1077, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1077, tc_HOL_Obool)), _u1079), hAPP(hAPP(c_Set_Oinsert(_u1077), _u1081), c_Orderings_Obot__class_Obot(tc_fun(_u1077, tc_HOL_Obool))))), _u1083)) )).
% 43.29/43.54 cnf(fact_subset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1077, tc_HOL_Obool)), _u1079), hAPP(hAPP(c_Set_Oinsert(_u1077), _u1081), _u1083))) | hBOOL(hAPP(hAPP(c_member(_u1077), _u1081), _u1079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1077, tc_HOL_Obool)), _u1079), _u1083)) )).
% 43.29/43.54 cnf(fact_subset__insert__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), _u1084))) | hBOOL(hAPP(hAPP(c_member(_u1078), _u1082), _u1080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), _u1084)) )).
% 43.29/43.54 cnf(fact_subset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), _u1084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool))))), _u1084)) | ~hBOOL(hAPP(hAPP(c_member(_u1078), _u1082), _u1080)) )).
% 43.29/43.54 cnf(fact_subset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), _u1084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool))))), _u1084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), _u1084)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_imageE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1086), _u1087), hAPP(c_Set_Oimage(_u1088, _u1086, _u1089), _u1090))) | ( _u1087 = hAPP(_u1089, skolem24(_u1090, _u1089, _u1088, _u1087))) )).
% 43.29/43.54 cnf(fact_imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1086), _u1087), hAPP(c_Set_Oimage(_u1088, _u1086, _u1089), _u1090))) | hBOOL(hAPP(hAPP(c_member(_u1088), skolem24(_u1090, _u1089, _u1088, _u1087)), _u1090)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_DiffI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_DiffI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1091), _u1092), _u1093)) | hBOOL(hAPP(hAPP(c_member(_u1091), _u1092), _u1094)) | hBOOL(hAPP(hAPP(c_member(_u1091), _u1092), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1091, tc_HOL_Obool)), _u1093), _u1094))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_DiffE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_DiffE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1095), _u1096), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1095, tc_HOL_Obool)), _u1097), _u1098))) | hBOOL(hAPP(hAPP(c_member(_u1095), _u1096), _u1097)) )).
% 43.29/43.54 cnf(fact_DiffE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1095), _u1096), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1095, tc_HOL_Obool)), _u1097), _u1098))) | ~hBOOL(hAPP(hAPP(c_member(_u1095), _u1096), _u1098)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le0 ( axiom ) converted to clauses:
% 43.29/43.54 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)), _u1099)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_PowI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_PowI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1100, tc_HOL_Obool)), _u1101), _u1102)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1100, tc_HOL_Obool)), _u1101), hAPP(c_Set_OPow(_u1100), _u1102))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_OWhileFalse ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u1103, _u1104)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1103, _u1105), _u1104, _u1106, _u1104) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_OWhileTrue ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u1107, _u1108)) | ~c_Natural_Oevaln(_u1109, _u1108, _u1110, _u1111) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1107, _u1109), _u1111, _u1110, _u1112) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1107, _u1109), _u1108, _u1110, _u1112) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_OWhileTrue ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_OWhileTrue-1, axiom, ( ~hBOOL(hAPP(_u1113, _u1114)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1115), _u1114), _u1116)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1113, _u1115)), _u1116), _u1117)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1113, _u1115)), _u1114), _u1117)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_OWhileFalse ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_OWhileFalse-1, axiom, ( hBOOL(hAPP(_u1118, _u1119)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1118, _u1120)), _u1119), _u1119)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_OSemi ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_OSemi-1, axiom, ( ~c_Natural_Oevaln(_u1121, _u1122, _u1123, _u1124) | ~c_Natural_Oevaln(_u1125, _u1124, _u1123, _u1126) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1121, _u1125), _u1122, _u1123, _u1126) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_OSkip ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_OSkip-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u1127, _u1128, _u1127) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln__elim__cases_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln__elim__cases_I1_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u1129, _u1130, _u1131) | ( _u1131 = _u1129) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Pow__not__empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Pow__not__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u1132), _u1133) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1132, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__refl ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1134), _u1134)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Pow__top ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Pow__top-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1135, tc_HOL_Obool)), _u1136), hAPP(c_Set_OPow(_u1135), _u1136))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_less__eq__nat_Osimps_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 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)), _u1137)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__0__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__0__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1139), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1139 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54 cnf(fact_le__0__eq-2, axiom, ( ( _u1140 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1140), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_nat__le__linear ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_nat__le__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1141), _u1142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1142), _u1141)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_eq__imp__le ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_eq__imp__le-1, axiom, ( ( _u1143 != _u1144) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1143), _u1144)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1145), _u1146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1146), _u1147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1145), _u1147)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__antisym ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1148), _u1149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1149), _u1148)) | ( _u1148 = _u1149) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_bot__nat__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_bot__nat__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__diff__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__diff__def-1, axiom, ( ~class_Groups_Ominus(_u1150) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1151, _u1150)), _u1152), _u1153), _u1154) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1150), hAPP(_u1152, _u1154)), hAPP(_u1153, _u1154))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__idemp ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__idemp-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1155, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1155, tc_HOL_Obool)), _u1156), _u1157)), _u1157) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1155, tc_HOL_Obool)), _u1156), _u1157)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_minus__apply ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_minus__apply-1, axiom, ( ~class_Groups_Ominus(_u1158) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1159, _u1158)), _u1160), _u1161), _u1162) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1158), hAPP(_u1160, _u1162)), hAPP(_u1161, _u1162))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I5_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I5_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1167, _u1169) != c_Com_Ocom_OWhile(_u1171, _u1173)) | ( _u1167 = _u1171) )).
% 43.29/43.54 cnf(fact_com_Osimps_I5_J-2, axiom, ( ( c_Com_Ocom_OWhile(_u1167, _u1169) != c_Com_Ocom_OWhile(_u1171, _u1173)) | ( _u1169 = _u1173) )).
% 43.29/43.54 cnf(fact_com_Osimps_I5_J-3, axiom, ( ( _u1168 != _u1172) | ( _u1170 != _u1174) | ( c_Com_Ocom_OWhile(_u1168, _u1170) = c_Com_Ocom_OWhile(_u1172, _u1174)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_Oequations_I7_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_Oequations_I7_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1181, _u1183), _u1185, _u1187, _u1185) | ~hBOOL(hAPP(_u1181, _u1185)) | c_Natural_Oevaln(_u1183, _u1185, _u1187, skolem25(_u1187, _u1185, _u1183, _u1181)) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I7_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1181, _u1183), _u1185, _u1187, _u1185) | ~hBOOL(hAPP(_u1181, _u1185)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1181, _u1183), skolem25(_u1187, _u1185, _u1183, _u1181), _u1187, _u1185) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I7_J-3, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1182, _u1184), _u1186, _u1188, _u1186) | hBOOL(hAPP(_u1182, _u1186)) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I7_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1182, _u1184), _u1186, _u1188, _u1186) | ~c_Natural_Oevaln(_u1184, _u1186, _u1188, _u1176) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1182, _u1184), _u1176, _u1188, _u1186) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_Oequations_I8_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_Oequations_I8_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ( _u1204 = _u1200) | hBOOL(hAPP(_u1196, _u1200)) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I8_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ( _u1204 = _u1200) | c_Natural_Oevaln(_u1198, _u1200, _u1202, skolem26(_u1204, _u1202, _u1200, _u1198, _u1196)) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I8_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ( _u1204 = _u1200) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), skolem26(_u1204, _u1202, _u1200, _u1198, _u1196), _u1202, _u1204) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I8_J-4, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ~hBOOL(hAPP(_u1196, _u1200)) | c_Natural_Oevaln(_u1198, _u1200, _u1202, skolem26(_u1204, _u1202, _u1200, _u1198, _u1196)) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I8_J-5, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ~hBOOL(hAPP(_u1196, _u1200)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), skolem26(_u1204, _u1202, _u1200, _u1198, _u1196), _u1202, _u1204) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I8_J-6, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1197, _u1199), _u1201, _u1203, _u1205) | ( _u1205 != _u1201) | hBOOL(hAPP(_u1197, _u1201)) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I8_J-7, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1197, _u1199), _u1201, _u1203, _u1205) | ~hBOOL(hAPP(_u1197, _u1201)) | ~c_Natural_Oevaln(_u1199, _u1201, _u1203, _u1190) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1197, _u1199), _u1190, _u1203, _u1205) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln__nonstrict ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln__nonstrict-1, axiom, ( ~c_Natural_Oevaln(_u1206, _u1207, _u1208, _u1209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1208), _u1210)) | c_Natural_Oevaln(_u1206, _u1207, _u1210, _u1209) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Cantors__paradox ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Cantors__paradox-1, axiom, ( ( hAPP(c_Set_Oimage(_u1212, tc_fun(_u1212, tc_HOL_Obool), _u1211), _u1213) != hAPP(c_Set_OPow(_u1212), _u1213)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1218), _u1220), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1218, tc_HOL_Obool)), _u1222), _u1224))) | hBOOL(hAPP(hAPP(c_member(_u1218), _u1220), _u1222)) )).
% 43.29/43.54 cnf(fact_Diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1218), _u1220), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1218, tc_HOL_Obool)), _u1222), _u1224))) | ~hBOOL(hAPP(hAPP(c_member(_u1218), _u1220), _u1224)) )).
% 43.29/43.54 cnf(fact_Diff__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), _u1223)) | hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), _u1225)) | hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1219, tc_HOL_Obool)), _u1223), _u1225))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_DiffD1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_DiffD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1226), _u1227), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1226, tc_HOL_Obool)), _u1228), _u1229))) | hBOOL(hAPP(hAPP(c_member(_u1226), _u1227), _u1228)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_DiffD2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_DiffD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1230), _u1231), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1230, tc_HOL_Obool)), _u1232), _u1233))) | ~hBOOL(hAPP(hAPP(c_member(_u1230), _u1231), _u1233)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_empty__Diff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_empty__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1234, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1234, tc_HOL_Obool))), _u1235) = c_Orderings_Obot__class_Obot(tc_fun(_u1234, tc_HOL_Obool))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__empty-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1236, tc_HOL_Obool)), _u1237), c_Orderings_Obot__class_Obot(tc_fun(_u1236, tc_HOL_Obool))) = _u1237) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__cancel ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1238, tc_HOL_Obool)), _u1239), _u1239) = c_Orderings_Obot__class_Obot(tc_fun(_u1238, tc_HOL_Obool))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__subset ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1240, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1240, tc_HOL_Obool)), _u1241), _u1242)), _u1241)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1243, tc_HOL_Obool)), _u1244), _u1245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1243, tc_HOL_Obool)), _u1246), _u1247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1243, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1243, tc_HOL_Obool)), _u1244), _u1247)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1243, tc_HOL_Obool)), _u1245), _u1246))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_double__diff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_double__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1248, tc_HOL_Obool)), _u1249), _u1250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1248, tc_HOL_Obool)), _u1250), _u1251)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1248, tc_HOL_Obool)), _u1250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1248, tc_HOL_Obool)), _u1251), _u1249)) = _u1249) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln__Suc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln__Suc-1, axiom, ( ~c_Natural_Oevaln(_u1252, _u1253, _u1254, _u1255) | c_Natural_Oevaln(_u1252, _u1253, hAPP(c_Nat_OSuc, _u1254), _u1255) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__Diff__cancel ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__Diff__cancel-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1256, tc_HOL_Obool)), _u1257), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1256, tc_HOL_Obool)), _u1258), _u1257)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1256, tc_HOL_Obool)), _u1257), _u1258)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__Diff__cancel2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__Diff__cancel2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1259, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1259, tc_HOL_Obool)), _u1260), _u1261)), _u1261) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1259, tc_HOL_Obool)), _u1260), _u1261)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__Diff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1262, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1262, tc_HOL_Obool)), _u1263), _u1264)), _u1265) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1262, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1262, tc_HOL_Obool)), _u1263), _u1265)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1262, tc_HOL_Obool)), _u1264), _u1265))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln__evalc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln__evalc-1, axiom, ( ~c_Natural_Oevaln(_u1266, _u1267, _u1268, _u1269) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1266), _u1267), _u1269)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_eval__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_eval__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1275), _u1277), _u1279)) | c_Natural_Oevaln(_u1275, _u1277, skolem27(_u1279, _u1277, _u1275), _u1279) )).
% 43.29/43.54 cnf(fact_eval__eq-2, axiom, ( ~c_Natural_Oevaln(_u1276, _u1278, _u1271, _u1280) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1276), _u1278), _u1280)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Suc__neq__Zero ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Suc__neq__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u1281) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Zero__neq__Suc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Zero__neq__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1282)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_nat_Osimps_I3_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_nat_Osimps_I3_J-1, axiom, ( ( hAPP(c_Nat_OSuc, _u1283) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Suc__not__Zero ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Suc__not__Zero-1, axiom, ( ( hAPP(c_Nat_OSuc, _u1284) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_nat_Osimps_I2_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_nat_Osimps_I2_J-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1285)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Zero__not__Suc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Zero__not__Suc-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1286)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_Oequations_I4_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_Oequations_I4_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1294, _u1296), _u1298, _u1300, _u1302) | c_Natural_Oevaln(_u1294, _u1298, _u1300, skolem28(_u1302, _u1300, _u1298, _u1296, _u1294)) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I4_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1294, _u1296), _u1298, _u1300, _u1302) | c_Natural_Oevaln(_u1296, skolem28(_u1302, _u1300, _u1298, _u1296, _u1294), _u1300, _u1302) )).
% 43.29/43.54 cnf(fact_evaln_Oequations_I4_J-3, axiom, ( ~c_Natural_Oevaln(_u1295, _u1299, _u1301, _u1288) | ~c_Natural_Oevaln(_u1297, _u1288, _u1301, _u1303) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1295, _u1297), _u1299, _u1301, _u1303) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln_Oequations_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln_Oequations_I1_J-1, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u1304, _u1305, _u1304) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Pow__bottom ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Pow__bottom-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1306, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1306, tc_HOL_Obool))), hAPP(c_Set_OPow(_u1306), _u1307))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Pow__empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Pow__empty-1, axiom, ( ( hAPP(c_Set_OPow(_u1308), c_Orderings_Obot__class_Obot(tc_fun(_u1308, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1308, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1308, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1308, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Pow__insert ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Pow__insert-1, axiom, ( ( hAPP(c_Set_OPow(_u1309), hAPP(hAPP(c_Set_Oinsert(_u1309), _u1310), _u1311)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1309, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1309), _u1311)), hAPP(c_Set_Oimage(tc_fun(_u1309, tc_HOL_Obool), tc_fun(_u1309, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u1309), _u1310)), hAPP(c_Set_OPow(_u1309), _u1311)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_PowD ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_PowD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1312, tc_HOL_Obool)), _u1313), hAPP(c_Set_OPow(_u1312), _u1314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1312, tc_HOL_Obool)), _u1313), _u1314)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Pow__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Pow__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1318, tc_HOL_Obool)), _u1320), hAPP(c_Set_OPow(_u1318), _u1322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1318, tc_HOL_Obool)), _u1320), _u1322)) )).
% 43.29/43.54 cnf(fact_Pow__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1319, tc_HOL_Obool)), _u1321), _u1323)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1319, tc_HOL_Obool)), _u1321), hAPP(c_Set_OPow(_u1319), _u1323))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__Pow__surj ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__Pow__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u1324, _u1325, _u1326), _u1327) != _u1328) | ( hAPP(c_Set_Oimage(tc_fun(_u1324, tc_HOL_Obool), tc_fun(_u1325, tc_HOL_Obool), c_Set_Oimage(_u1324, _u1325, _u1326)), hAPP(c_Set_OPow(_u1324), _u1327)) = hAPP(c_Set_OPow(_u1325), _u1328)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_Oequations_I8_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_Oequations_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ( _u1341 = _u1339) | hBOOL(hAPP(_u1335, _u1339)) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ( _u1341 = _u1339) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1337), _u1339), skolem29(_u1341, _u1339, _u1337, _u1335))) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ( _u1341 = _u1339) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), skolem29(_u1341, _u1339, _u1337, _u1335)), _u1341)) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I8_J-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ~hBOOL(hAPP(_u1335, _u1339)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1337), _u1339), skolem29(_u1341, _u1339, _u1337, _u1335))) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I8_J-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ~hBOOL(hAPP(_u1335, _u1339)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), skolem29(_u1341, _u1339, _u1337, _u1335)), _u1341)) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I8_J-6, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1336, _u1338)), _u1340), _u1342)) | ( _u1342 != _u1340) | hBOOL(hAPP(_u1336, _u1340)) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I8_J-7, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1336, _u1338)), _u1340), _u1342)) | ~hBOOL(hAPP(_u1336, _u1340)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1338), _u1340), _u1330)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1336, _u1338)), _u1330), _u1342)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evalc_Oequations_I7_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evalc_Oequations_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1348, _u1350)), _u1352), _u1352)) | ~hBOOL(hAPP(_u1348, _u1352)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1350), _u1352), skolem30(_u1352, _u1350, _u1348))) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1348, _u1350)), _u1352), _u1352)) | ~hBOOL(hAPP(_u1348, _u1352)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1348, _u1350)), skolem30(_u1352, _u1350, _u1348)), _u1352)) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I7_J-3, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1349, _u1351)), _u1353), _u1353)) | hBOOL(hAPP(_u1349, _u1353)) )).
% 43.29/43.54 cnf(fact_evalc_Oequations_I7_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1349, _u1351)), _u1353), _u1353)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1351), _u1353), _u1344)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1349, _u1351)), _u1344), _u1353)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I59_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I59_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u1354) != c_Com_Ocom_OWhile(_u1355, _u1356)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I58_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I58_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1357, _u1358) != hAPP(c_Com_Ocom_OBODY, _u1359)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I46_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I46_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u1360, _u1361) != c_Com_Ocom_OWhile(_u1362, _u1363)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I47_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I47_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1364, _u1365) != c_Com_Ocom_OSemi(_u1366, _u1367)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I16_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I16_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u1368, _u1369)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_com_Osimps_I17_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_com_Osimps_I17_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u1370, _u1371) != c_Com_Ocom_OSKIP) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Least__Suc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Least__Suc-1, axiom, ( ~hBOOL(hAPP(_u1372, _u1373)) | hBOOL(hAPP(_u1372, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u1372) = 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), _u1372), c_Nat_OSuc)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__Diff__if ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__Diff__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1378), _u1380), _u1382)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1378, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1378), _u1380), _u1384)), _u1382) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1378, tc_HOL_Obool)), _u1384), _u1382)) )).
% 43.29/43.54 cnf(fact_insert__Diff__if-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1379), _u1381), _u1383)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1379, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1379), _u1381), _u1385)), _u1383) = hAPP(hAPP(c_Set_Oinsert(_u1379), _u1381), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1379, tc_HOL_Obool)), _u1385), _u1383))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__Diff1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__Diff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1386), _u1387), _u1388)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1386, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1386), _u1387), _u1389)), _u1388) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1386, tc_HOL_Obool)), _u1389), _u1388)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__insert ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__insert-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1390, tc_HOL_Obool)), _u1391), hAPP(hAPP(c_Set_Oinsert(_u1390), _u1392), _u1393)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1390, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1390, tc_HOL_Obool)), _u1391), _u1393)), hAPP(hAPP(c_Set_Oinsert(_u1390), _u1392), c_Orderings_Obot__class_Obot(tc_fun(_u1390, tc_HOL_Obool))))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__insert2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__insert2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1394, tc_HOL_Obool)), _u1395), hAPP(hAPP(c_Set_Oinsert(_u1394), _u1396), _u1397)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1394, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1394, tc_HOL_Obool)), _u1395), hAPP(hAPP(c_Set_Oinsert(_u1394), _u1396), c_Orderings_Obot__class_Obot(tc_fun(_u1394, tc_HOL_Obool))))), _u1397)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__Diff__single ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__Diff__single-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u1398), _u1399), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1398, tc_HOL_Obool)), _u1400), hAPP(hAPP(c_Set_Oinsert(_u1398), _u1399), c_Orderings_Obot__class_Obot(tc_fun(_u1398, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1398), _u1399), _u1400)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_image__diff__subset ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_image__diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1401, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1401, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1402, _u1401, _u1403), _u1404)), hAPP(c_Set_Oimage(_u1402, _u1401, _u1403), _u1405))), hAPP(c_Set_Oimage(_u1402, _u1401, _u1403), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1402, tc_HOL_Obool)), _u1404), _u1405)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__subset__conv ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__subset__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1410, tc_HOL_Obool)), _u1412), _u1414)), _u1416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool)), _u1412), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1410, tc_HOL_Obool)), _u1414), _u1416))) )).
% 43.29/43.54 cnf(fact_Diff__subset__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1411, tc_HOL_Obool)), _u1413), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1411, tc_HOL_Obool)), _u1415), _u1417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1411, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1411, tc_HOL_Obool)), _u1413), _u1415)), _u1417)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__partition ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__partition-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1418, tc_HOL_Obool)), _u1419), _u1420)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1418, tc_HOL_Obool)), _u1419), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1418, tc_HOL_Obool)), _u1420), _u1419)) = _u1420) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_triple__valid__def2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_triple__valid__def2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u1436, _u1423), _u1422)) | ~c_Natural_Oevaln(_u1438, _u1422, _u1434, _u1421) | hBOOL(hAPP(hAPP(_u1440, _u1423), _u1421)) | ~c_Hoare__Mirabelle_Otriple__valid(_u1432, _u1434, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1432), _u1436), _u1438), _u1440)) )).
% 43.29/43.54 cnf(fact_triple__valid__def2-2, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u1433, _u1435, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1433), _u1437), _u1439), _u1441)) | hBOOL(hAPP(hAPP(_u1437, skolem31(_u1441, _u1439, _u1437, _u1435)), skolem32(_u1441, _u1439, _u1437, _u1435))) )).
% 43.29/43.54 cnf(fact_triple__valid__def2-3, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u1433, _u1435, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1433), _u1437), _u1439), _u1441)) | c_Natural_Oevaln(_u1439, skolem32(_u1441, _u1439, _u1437, _u1435), _u1435, skolem33(_u1441, _u1439, _u1437, _u1435)) )).
% 43.29/43.54 cnf(fact_triple__valid__def2-4, axiom, ( c_Hoare__Mirabelle_Otriple__valid(_u1433, _u1435, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1433), _u1437), _u1439), _u1441)) | ~hBOOL(hAPP(hAPP(_u1441, skolem31(_u1441, _u1439, _u1437, _u1435)), skolem33(_u1441, _u1439, _u1437, _u1435))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Pow__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Pow__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1442, tc_HOL_Obool)), _u1443), _u1444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1442, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1442), _u1443)), hAPP(c_Set_OPow(_u1442), _u1444))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Un__Pow__subset ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Un__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1445, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1445, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1445), _u1446)), hAPP(c_Set_OPow(_u1445), _u1447))), hAPP(c_Set_OPow(_u1445), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1445, tc_HOL_Obool)), _u1446), _u1447)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Diff__insert__absorb ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Diff__insert__absorb-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1448), _u1449), _u1450)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1448, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1448), _u1449), _u1450)), hAPP(hAPP(c_Set_Oinsert(_u1448), _u1449), c_Orderings_Obot__class_Obot(tc_fun(_u1448, tc_HOL_Obool)))) = _u1450) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_insert__Diff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_insert__Diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1451), _u1452), _u1453)) | ( hAPP(hAPP(c_Set_Oinsert(_u1451), _u1452), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1451, tc_HOL_Obool)), _u1453), hAPP(hAPP(c_Set_Oinsert(_u1451), _u1452), c_Orderings_Obot__class_Obot(tc_fun(_u1451, tc_HOL_Obool))))) = _u1453) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_override__on__apply__in ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_override__on__apply__in-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1454), _u1455), _u1456)) | ( hAPP(c_Fun_Ooverride__on(_u1454, _u1457, _u1458, _u1459, _u1456), _u1455) = hAPP(_u1459, _u1455)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_override__on__apply__notin ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_override__on__apply__notin-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1460), _u1461), _u1462)) | ( hAPP(c_Fun_Ooverride__on(_u1460, _u1463, _u1464, _u1465, _u1462), _u1461) = hAPP(_u1464, _u1461)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_override__on__emptyset ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_override__on__emptyset-1, axiom, ( ( c_Fun_Ooverride__on(_u1466, _u1467, _u1468, _u1469, c_Orderings_Obot__class_Obot(tc_fun(_u1466, tc_HOL_Obool))) = _u1468) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Powp__Pow__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Powp__Pow__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u1473, hAPP(hAPP(c_COMBC(_u1473, tc_fun(_u1473, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1473)), _u1475)), _u1477)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1473, tc_HOL_Obool)), _u1477), hAPP(c_Set_OPow(_u1473), _u1475))) )).
% 43.29/43.54 cnf(fact_Powp__Pow__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1474, tc_HOL_Obool)), _u1478), hAPP(c_Set_OPow(_u1474), _u1476))) | hBOOL(hAPP(c_Predicate_OPowp(_u1474, hAPP(hAPP(c_COMBC(_u1474, tc_fun(_u1474, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1474)), _u1476)), _u1478)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_triple_Osize_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_triple_Osize_I1_J-1, axiom, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u1479, _u1480, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1479), _u1481), _u1482), _u1483)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__iff__diff__le__0 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__iff__diff__le__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), _u1485), _u1486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1484), _u1485), _u1486)), c_Groups_Ozero__class_Ozero(_u1484))) )).
% 43.29/43.54 cnf(fact_le__iff__diff__le__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1484), _u1485), _u1486)), c_Groups_Ozero__class_Ozero(_u1484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), _u1485), _u1486)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_triple_Osize_I2_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_triple_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u1487)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1487), _u1488), _u1489), _u1490)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_evaln__elim__cases_I6_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_evaln__elim__cases_I6_J-1, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1492), _u1493, _u1494, _u1495) | ( _u1494 = hAPP(c_Nat_OSuc, skolem34(_u1495, _u1494, _u1493, _u1492))) )).
% 43.29/43.54 cnf(fact_evaln__elim__cases_I6_J-2, axiom, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1492), _u1493, _u1494, _u1495) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1492)), _u1493, skolem34(_u1495, _u1494, _u1493, _u1492), _u1495) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_enum__the__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_enum__the__def-1, axiom, ( ( c_Enum_Oenum__the(_u1496, _u1497) = c_HOL_OThe(_u1496, _u1497)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_flat__lub__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_flat__lub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1501, tc_HOL_Obool)), _u1503), hAPP(hAPP(c_Set_Oinsert(_u1501), _u1505), c_Orderings_Obot__class_Obot(tc_fun(_u1501, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1501, _u1505, _u1503) = _u1505) )).
% 43.29/43.54 cnf(fact_flat__lub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1502, tc_HOL_Obool)), _u1504), hAPP(hAPP(c_Set_Oinsert(_u1502), _u1506), c_Orderings_Obot__class_Obot(tc_fun(_u1502, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1502, _u1506, _u1504) = c_HOL_OThe(_u1502, hAPP(hAPP(c_COMBC(_u1502, tc_fun(_u1502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1502)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1502, tc_HOL_Obool)), _u1504), hAPP(hAPP(c_Set_Oinsert(_u1502), _u1506), c_Orderings_Obot__class_Obot(tc_fun(_u1502, tc_HOL_Obool))))))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_right__minus__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_right__minus__eq-1, axiom, ( ~class_Groups_Ogroup__add(_u1507) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1507), _u1508), _u1509) != c_Groups_Ozero__class_Ozero(_u1507)) | ( _u1508 = _u1509) )).
% 43.29/43.54 cnf(fact_right__minus__eq-2, axiom, ( ~class_Groups_Ogroup__add(_u1507) | ( _u1508 != _u1509) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1507), _u1508), _u1509) = c_Groups_Ozero__class_Ozero(_u1507)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_eq__iff__diff__eq__0 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_eq__iff__diff__eq__0-1, axiom, ( ~class_Groups_Oab__group__add(_u1510) | ( _u1511 != _u1512) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1510), _u1511), _u1512) = c_Groups_Ozero__class_Ozero(_u1510)) )).
% 43.29/43.54 cnf(fact_eq__iff__diff__eq__0-2, axiom, ( ~class_Groups_Oab__group__add(_u1510) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1510), _u1511), _u1512) != c_Groups_Ozero__class_Ozero(_u1510)) | ( _u1511 = _u1512) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__self ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__self-1, axiom, ( ~class_Groups_Ogroup__add(_u1513) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1513), _u1514), _u1514) = c_Groups_Ozero__class_Ozero(_u1513)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__0__right ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__0__right-1, axiom, ( ~class_Groups_Ogroup__add(_u1515) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1515), _u1516), c_Groups_Ozero__class_Ozero(_u1515)) = _u1516) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__eq__diff__less__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__eq__diff__less__eq-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1517) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1517), _u1518), _u1519) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1517), _u1520), _u1521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1518), _u1519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1520), _u1521)) )).
% 43.29/43.54 cnf(fact_diff__eq__diff__less__eq-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1517) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1517), _u1518), _u1519) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1517), _u1520), _u1521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1520), _u1521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1518), _u1519)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diffs0__imp__equal ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diffs0__imp__equal-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1522), _u1523) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1523), _u1522) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1522 = _u1523) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__self__eq__0 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__self__eq__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1524), _u1524) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_minus__nat_Odiff__0 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_minus__nat_Odiff__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1525), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1525) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__0__eq__0 ( axiom ) converted to clauses:
% 43.29/43.54 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)), _u1526) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__Suc__Suc ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1527)), hAPP(c_Nat_OSuc, _u1528)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1527), _u1528)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Suc__diff__diff ( axiom ) converted to clauses:
% 43.29/43.54 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, _u1529)), _u1530)), hAPP(c_Nat_OSuc, _u1531)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1529), _u1530)), _u1531)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_le__diff__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_le__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1532), _u1533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1532), _u1534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1533), _u1532)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1534), _u1532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1533), _u1534)) )).
% 43.29/43.54 cnf(fact_le__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1532), _u1533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1532), _u1534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1533), _u1534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1533), _u1532)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1534), _u1532))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Nat_Odiff__diff__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Nat_Odiff__diff__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1535), _u1536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1535), _u1537)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1536), _u1535)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1537), _u1535)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1536), _u1537)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_eq__diff__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_eq__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1538), _u1539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1538), _u1540)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1539), _u1538) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1540), _u1538)) | ( _u1539 = _u1540) )).
% 43.29/43.54 cnf(fact_eq__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1538), _u1539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1538), _u1540)) | ( _u1539 != _u1540) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1539), _u1538) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1540), _u1538)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__diff__cancel ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__diff__cancel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1541), _u1542)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1542), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1542), _u1541)) = _u1541) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__le__mono ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1543), _u1544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1543), _u1545)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1544), _u1545))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__le__mono2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1546), _u1547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1548), _u1547)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1548), _u1546))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__le__self ( axiom ) converted to clauses:
% 43.29/43.54 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), _u1549), _u1550)), _u1549)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__is__0__eq_H ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__is__0__eq_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1551), _u1552)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1551), _u1552) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__is__0__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__is__0__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1555), _u1557) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1555), _u1557)) )).
% 43.29/43.54 cnf(fact_diff__is__0__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1556), _u1558)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1556), _u1558) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_Suc__diff__le ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_Suc__diff__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1559), _u1560)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1560)), _u1559) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1560), _u1559))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_zero__reorient ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_zero__reorient-1, axiom, ( ~class_Groups_Ozero(_u1561) | ( c_Groups_Ozero__class_Ozero(_u1561) != _u1562) | ( _u1562 = c_Groups_Ozero__class_Ozero(_u1561)) )).
% 43.29/43.54 cnf(fact_zero__reorient-2, axiom, ( ~class_Groups_Ozero(_u1561) | ( _u1562 != c_Groups_Ozero__class_Ozero(_u1561)) | ( c_Groups_Ozero__class_Ozero(_u1561) = _u1562) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__eq__diff__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__eq__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u1563) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1563), _u1564), _u1565) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1563), _u1566), _u1567)) | ( _u1564 != _u1565) | ( _u1566 = _u1567) )).
% 43.29/43.54 cnf(fact_diff__eq__diff__eq-2, axiom, ( ~class_Groups_Oab__group__add(_u1563) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1563), _u1564), _u1565) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1563), _u1566), _u1567)) | ( _u1566 != _u1567) | ( _u1564 = _u1565) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__image ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1574), _u1576), _u1578)) | ( hAPP(c_Set_Oimage(_u1574, _u1580, c_Fun_Ofun__upd(_u1574, _u1580, _u1582, _u1576, _u1584)), _u1578) = hAPP(hAPP(c_Set_Oinsert(_u1580), _u1584), hAPP(c_Set_Oimage(_u1574, _u1580, _u1582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1574, tc_HOL_Obool)), _u1578), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1576), c_Orderings_Obot__class_Obot(tc_fun(_u1574, tc_HOL_Obool))))))) )).
% 43.29/43.54 cnf(fact_fun__upd__image-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u1575), _u1577), _u1579)) | ( hAPP(c_Set_Oimage(_u1575, _u1581, c_Fun_Ofun__upd(_u1575, _u1581, _u1583, _u1577, _u1585)), _u1579) = hAPP(c_Set_Oimage(_u1575, _u1581, _u1583), _u1579)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_the__sym__eq__trivial ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_the__sym__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u1586, hAPP(c_fequal, _u1587)) = _u1587) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_the__eq__trivial ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_the__eq__trivial-1, axiom, ( ( c_HOL_OThe(_u1588, hAPP(hAPP(c_COMBC(_u1588, _u1588, tc_HOL_Obool), c_fequal), _u1589)) = _u1589) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_less__eq__nat_Osimps_I2_J ( axiom ) converted to clauses:
% 43.29/43.54 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, _u1592)), _u1594)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1592), _u1594)) )).
% 43.29/43.54 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), _u1593), _u1595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1593)), _u1595)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_def__coinduct__set ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_def__coinduct__set-1, axiom, ( ( _u1596 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1597, tc_HOL_Obool), _u1598)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1597, tc_HOL_Obool), tc_fun(_u1597, tc_HOL_Obool), _u1598) | ~hBOOL(hAPP(hAPP(c_member(_u1597), _u1599), _u1600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1597, tc_HOL_Obool)), _u1600), hAPP(_u1598, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1597, tc_HOL_Obool)), _u1600), _u1596)))) | hBOOL(hAPP(hAPP(c_member(_u1597), _u1599), _u1596)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_coinduct__set ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_coinduct__set-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1601, tc_HOL_Obool), tc_fun(_u1601, tc_HOL_Obool), _u1602) | ~hBOOL(hAPP(hAPP(c_member(_u1601), _u1603), _u1604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1601, tc_HOL_Obool)), _u1604), hAPP(_u1602, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1601, tc_HOL_Obool)), _u1604), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1601, tc_HOL_Obool), _u1602))))) | hBOOL(hAPP(hAPP(c_member(_u1601), _u1603), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1601, tc_HOL_Obool), _u1602))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_psubset__insert__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_psubset__insert__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), _u1615))) | ~hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), _u1611), _u1615)) )).
% 43.29/43.54 cnf(fact_psubset__insert__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), _u1615))) | hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1615)) | ~hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), 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))))), _u1615)) )).
% 43.29/43.54 cnf(fact_psubset__insert__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), _u1615))) | hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1615)) | hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1609, tc_HOL_Obool)), _u1611), _u1615)) )).
% 43.29/43.54 cnf(fact_psubset__insert__iff-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1616)) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) )).
% 43.29/43.54 cnf(fact_psubset__insert__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), c_Orderings_Obot__class_Obot(tc_fun(_u1610, tc_HOL_Obool))))), _u1616)) | ~hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1612)) )).
% 43.29/43.54 cnf(fact_psubset__insert__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), c_Orderings_Obot__class_Obot(tc_fun(_u1610, tc_HOL_Obool))))), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) )).
% 43.29/43.54 cnf(fact_psubset__insert__iff-7, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) | ~hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1616)) )).
% 43.29/43.54 cnf(fact_psubset__insert__iff-8, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) )).
% 43.29/43.54 cnf(fact_psubset__insert__iff-9, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), c_Orderings_Obot__class_Obot(tc_fun(_u1610, tc_HOL_Obool))))), _u1616)) | ~hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1612)) )).
% 43.29/43.54 cnf(fact_psubset__insert__iff-10, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), c_Orderings_Obot__class_Obot(tc_fun(_u1610, tc_HOL_Obool))))), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fold__graph_H_Ointros_I2_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fold__graph_H_Ointros_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1617), _u1618), _u1619)) | ~c_Nitpick_Ofold__graph_H(_u1617, _u1620, _u1621, _u1622, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1617, tc_HOL_Obool)), _u1619), hAPP(hAPP(c_Set_Oinsert(_u1617), _u1618), c_Orderings_Obot__class_Obot(tc_fun(_u1617, tc_HOL_Obool)))), _u1623) | c_Nitpick_Ofold__graph_H(_u1617, _u1620, _u1621, _u1622, _u1619, hAPP(hAPP(_u1621, _u1618), _u1623)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_def__coinduct ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_def__coinduct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1624) | ( _u1625 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u1624, _u1626)) | ~c_Orderings_Oorder__class_Omono(_u1624, _u1624, _u1626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1624), _u1627), hAPP(_u1626, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1624), _u1627), _u1625)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1624), _u1627), _u1625)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_coinduct__lemma ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_coinduct__lemma-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1628) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1628), _u1629), hAPP(_u1630, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1628), _u1629), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1628, _u1630))))) | ~c_Orderings_Oorder__class_Omono(_u1628, _u1628, _u1630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1628), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1628), _u1629), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1628, _u1630))), hAPP(_u1630, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1628), _u1629), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1628, _u1630))))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__triv ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__triv-1, axiom, ( ( c_Fun_Ofun__upd(_u1631, _u1632, _u1633, _u1634, hAPP(_u1633, _u1634)) = _u1633) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__commute ( axiom ) converted to clauses:
% 43.29/43.54 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), _u1635), _u1636)), _u1637) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1635), _u1637)), _u1636)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__irrefl ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__irrefl-1, axiom, ( ~class_Orderings_Opreorder(_u1638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1639), _u1639)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__neq__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__neq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u1640) | ( _u1641 = _u1642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1641), _u1642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1642), _u1641)) )).
% 43.29/43.54 cnf(fact_linorder__neq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u1640) | ( _u1641 != _u1642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1641), _u1642)) )).
% 43.29/43.54 cnf(fact_linorder__neq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u1640) | ( _u1641 != _u1642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1642), _u1641)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_not__less__iff__gr__or__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_not__less__iff__gr__or__eq-1, axiom, ( ~class_Orderings_Olinorder(_u1643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1644), _u1645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1645), _u1644)) | ( _u1644 = _u1645) )).
% 43.29/43.54 cnf(fact_not__less__iff__gr__or__eq-2, axiom, ( ~class_Orderings_Olinorder(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1644), _u1645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1645), _u1644)) )).
% 43.29/43.54 cnf(fact_not__less__iff__gr__or__eq-3, axiom, ( ~class_Orderings_Olinorder(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1644), _u1645)) | ( _u1644 != _u1645) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__less__linear ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1646), _u1647), _u1648)) | ( _u1647 = _u1648) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1646), _u1648), _u1647)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__antisym__conv3 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__antisym__conv3-1, axiom, ( ~class_Orderings_Olinorder(_u1649) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), _u1651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1651), _u1650)) | ( _u1651 = _u1650) )).
% 43.29/43.54 cnf(fact_linorder__antisym__conv3-2, axiom, ( ~class_Orderings_Olinorder(_u1649) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), _u1651)) | ( _u1651 != _u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1651), _u1650)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__neqE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__neqE-1, axiom, ( ~class_Orderings_Olinorder(_u1652) | ( _u1653 = _u1654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), _u1653), _u1654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), _u1654), _u1653)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_less__imp__neq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_less__imp__neq-1, axiom, ( ~class_Orderings_Oorder(_u1655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1656), _u1657)) | ( _u1656 != _u1657) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__not__sym ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__not__sym-1, axiom, ( ~class_Orderings_Opreorder(_u1658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1659), _u1660)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1660), _u1659)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__imp__not__less ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__imp__not__less-1, axiom, ( ~class_Orderings_Opreorder(_u1661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1662), _u1663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1663), _u1662)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__imp__not__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__imp__not__eq-1, axiom, ( ~class_Orderings_Oorder(_u1664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1665), _u1666)) | ( _u1665 != _u1666) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__imp__not__eq2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__imp__not__eq2-1, axiom, ( ~class_Orderings_Oorder(_u1667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1668), _u1669)) | ( _u1669 != _u1668) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__asym_H ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__asym_H-1, axiom, ( ~class_Orderings_Opreorder(_u1670) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1671), _u1672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1672), _u1671)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I9_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u1673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1674)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_ord__eq__less__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_ord__eq__less__trans-1, axiom, ( ~class_Orderings_Oord(_u1676) | ( _u1677 != _u1678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), _u1678), _u1679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), _u1677), _u1679)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u1680) | ( _u1681 != _u1682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), _u1683), _u1682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), _u1683), _u1681)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_psubset__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1684, tc_HOL_Obool)), _u1685), _u1686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1684, tc_HOL_Obool)), _u1686), _u1687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1684, tc_HOL_Obool)), _u1685), _u1687)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_ord__less__eq__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_ord__less__eq__trans-1, axiom, ( ~class_Orderings_Oord(_u1688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1688), _u1689), _u1690)) | ( _u1690 != _u1691) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1688), _u1689), _u1691)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I2_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1693), _u1694)) | ( _u1693 != _u1695) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1695), _u1694)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), _u1697), _u1698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), _u1698), _u1699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), _u1697), _u1699)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I10_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u1700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1701), _u1702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1703), _u1701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1703), _u1702)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__asym ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__asym-1, axiom, ( ~class_Orderings_Opreorder(_u1704) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1704), _u1705), _u1706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1704), _u1706), _u1705)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__cases ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__cases-1, axiom, ( ~class_Orderings_Olinorder(_u1707) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1707), _u1708), _u1709)) | ( _u1708 = _u1709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1707), _u1709), _u1708)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__idem__iff ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__idem__iff-1, axiom, ( ( hAPP(_u1719, _u1721) = _u1723) | ( c_Fun_Ofun__upd(_u1715, _u1717, _u1719, _u1721, _u1723) != _u1719) )).
% 43.29/43.54 cnf(fact_fun__upd__idem__iff-2, axiom, ( ( hAPP(_u1720, _u1722) != _u1724) | ( c_Fun_Ofun__upd(_u1716, _u1718, _u1720, _u1722, _u1724) = _u1720) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__upd ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__upd-1, axiom, ( ( c_Fun_Ofun__upd(_u1725, _u1726, c_Fun_Ofun__upd(_u1725, _u1726, _u1727, _u1728, _u1729), _u1728, _u1730) = c_Fun_Ofun__upd(_u1725, _u1726, _u1727, _u1728, _u1730)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__same ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__same-1, axiom, ( ( hAPP(c_Fun_Ofun__upd(_u1731, _u1732, _u1733, _u1734, _u1735), _u1734) = _u1735) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__apply ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__apply-1, axiom, ( ( _u1742 != _u1744) | ( hAPP(c_Fun_Ofun__upd(_u1746, _u1748, _u1750, _u1744, _u1752), _u1742) = _u1752) )).
% 43.29/43.54 cnf(fact_fun__upd__apply-2, axiom, ( ( _u1743 = _u1745) | ( hAPP(c_Fun_Ofun__upd(_u1747, _u1749, _u1751, _u1745, _u1753), _u1743) = hAPP(_u1751, _u1743)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__twist ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__twist-1, axiom, ( ( _u1754 = _u1755) | ( c_Fun_Ofun__upd(_u1756, _u1757, c_Fun_Ofun__upd(_u1756, _u1757, _u1758, _u1754, _u1759), _u1755, _u1760) = c_Fun_Ofun__upd(_u1756, _u1757, c_Fun_Ofun__upd(_u1756, _u1757, _u1758, _u1755, _u1760), _u1754, _u1759)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__other ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__other-1, axiom, ( ( _u1761 = _u1762) | ( hAPP(c_Fun_Ofun__upd(_u1763, _u1764, _u1765, _u1762, _u1766), _u1761) = hAPP(_u1765, _u1761)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__idem ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__idem-1, axiom, ( ( hAPP(_u1767, _u1768) != _u1769) | ( c_Fun_Ofun__upd(_u1770, _u1771, _u1767, _u1768, _u1769) = _u1767) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fun__upd__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fun__upd__def-1, axiom, ( ( _u1778 != _u1780) | ( hAPP(c_Fun_Ofun__upd(_u1782, _u1784, _u1786, _u1780, _u1788), _u1778) = _u1788) )).
% 43.29/43.54 cnf(fact_fun__upd__def-2, axiom, ( ( _u1779 = _u1781) | ( hAPP(c_Fun_Ofun__upd(_u1783, _u1785, _u1787, _u1781, _u1789), _u1779) = hAPP(_u1787, _u1779)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fold__graph_H_Ointros_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fold__graph_H_Ointros_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1790, _u1791, _u1792, _u1793, c_Orderings_Obot__class_Obot(tc_fun(_u1790, tc_HOL_Obool)), _u1793) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_fold__graph_H_Oequations_I1_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_fold__graph_H_Oequations_I1_J-1, axiom, ( c_Nitpick_Ofold__graph_H(_u1794, _u1795, _u1796, _u1797, c_Orderings_Obot__class_Obot(tc_fun(_u1794, tc_HOL_Obool)), _u1797) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_less__fun__def ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_less__fun__def-1, axiom, ( ~class_Orderings_Oord(_u1798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1799, _u1798)), _u1800), _u1801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1799, _u1798)), _u1800), _u1801)) )).
% 43.29/43.54 cnf(fact_less__fun__def-2, axiom, ( ~class_Orderings_Oord(_u1798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1799, _u1798)), _u1800), _u1801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1799, _u1798)), _u1801), _u1800)) )).
% 43.29/43.54 cnf(fact_less__fun__def-3, axiom, ( ~class_Orderings_Oord(_u1798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1799, _u1798)), _u1800), _u1801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1799, _u1798)), _u1801), _u1800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1799, _u1798)), _u1800), _u1801)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__not__less ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__not__less-1, axiom, ( ~class_Orderings_Olinorder(_u1802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1802), _u1803), _u1804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1802), _u1804), _u1803)) )).
% 43.29/43.54 cnf(fact_linorder__not__less-2, axiom, ( ~class_Orderings_Olinorder(_u1802) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1802), _u1804), _u1803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1802), _u1803), _u1804)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__not__le ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__not__le-1, axiom, ( ~class_Orderings_Olinorder(_u1805) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1805), _u1806), _u1807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1805), _u1807), _u1806)) )).
% 43.29/43.54 cnf(fact_linorder__not__le-2, axiom, ( ~class_Orderings_Olinorder(_u1805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1805), _u1807), _u1806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1805), _u1806), _u1807)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__le__less__linear ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__le__less__linear-1, axiom, ( ~class_Orderings_Olinorder(_u1808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1808), _u1809), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1810), _u1809)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__le ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__le-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__eq(_u1811), _u1812), _u1813)) )).
% 43.29/43.54 cnf(fact_order__less__le-2, axiom, ( ~class_Orderings_Oorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | ( _u1812 != _u1813) )).
% 43.29/43.54 cnf(fact_order__less__le-3, axiom, ( ~class_Orderings_Oorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1811), _u1812), _u1813)) | ( _u1812 = _u1813) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_less__le__not__le ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_less__le__not__le-1, axiom, ( ~class_Orderings_Opreorder(_u1814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1815), _u1816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1815), _u1816)) )).
% 43.29/43.54 cnf(fact_less__le__not__le-2, axiom, ( ~class_Orderings_Opreorder(_u1814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1815), _u1816)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1816), _u1815)) )).
% 43.29/43.54 cnf(fact_less__le__not__le-3, axiom, ( ~class_Orderings_Opreorder(_u1814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1815), _u1816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1816), _u1815)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1815), _u1816)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__le__less ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__le__less-1, axiom, ( ~class_Orderings_Oorder(_u1817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1818), _u1819)) | ( _u1818 = _u1819) )).
% 43.29/43.54 cnf(fact_order__le__less-2, axiom, ( ~class_Orderings_Oorder(_u1817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1818), _u1819)) )).
% 43.29/43.54 cnf(fact_order__le__less-3, axiom, ( ~class_Orderings_Oorder(_u1817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) | ( _u1818 != _u1819) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_leI ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_leI-1, axiom, ( ~class_Orderings_Olinorder(_u1820) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1820), _u1821), _u1822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1820), _u1822), _u1821)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_not__leE ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_not__leE-1, axiom, ( ~class_Orderings_Olinorder(_u1823) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1823), _u1824), _u1825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1823), _u1825), _u1824)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__antisym__conv1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__antisym__conv1-1, axiom, ( ~class_Orderings_Olinorder(_u1826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1826), _u1827), _u1828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1826), _u1827), _u1828)) | ( _u1827 = _u1828) )).
% 43.29/43.54 cnf(fact_linorder__antisym__conv1-2, axiom, ( ~class_Orderings_Olinorder(_u1826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1826), _u1827), _u1828)) | ( _u1827 != _u1828) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1826), _u1827), _u1828)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__neq__le__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__neq__le__trans-1, axiom, ( ~class_Orderings_Oorder(_u1829) | ( _u1830 = _u1831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1829), _u1830), _u1831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1830), _u1831)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I12_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u1832) | ( _u1833 = _u1834) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1832), _u1834), _u1833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1832), _u1834), _u1833)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_leD ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_leD-1, axiom, ( ~class_Orderings_Olinorder(_u1835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1835), _u1836), _u1837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1835), _u1837), _u1836)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__imp__le ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__imp__le-1, axiom, ( ~class_Orderings_Opreorder(_u1838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1838), _u1839), _u1840)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1838), _u1839), _u1840)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_linorder__antisym__conv2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_linorder__antisym__conv2-1, axiom, ( ~class_Orderings_Olinorder(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1841), _u1842), _u1843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1842), _u1843)) | ( _u1842 = _u1843) )).
% 43.29/43.54 cnf(fact_linorder__antisym__conv2-2, axiom, ( ~class_Orderings_Olinorder(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1841), _u1842), _u1843)) | ( _u1842 != _u1843) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1842), _u1843)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__le__imp__less__or__eq ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__le__imp__less__or__eq-1, axiom, ( ~class_Orderings_Oorder(_u1844) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1844), _u1845), _u1846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1844), _u1845), _u1846)) | ( _u1845 = _u1846) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__le__neq__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__le__neq__trans-1, axiom, ( ~class_Orderings_Oorder(_u1847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1847), _u1848), _u1849)) | ( _u1848 = _u1849) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1847), _u1848), _u1849)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I11_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u1850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1850), _u1851), _u1852)) | ( _u1852 = _u1851) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1850), _u1851), _u1852)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__less__le__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__less__le__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1853), _u1854), _u1855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1853), _u1855), _u1856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1853), _u1854), _u1856)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I7_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u1857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1857), _u1858), _u1859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1857), _u1860), _u1858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1857), _u1860), _u1859)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_order__le__less__trans ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_order__le__less__trans-1, axiom, ( ~class_Orderings_Opreorder(_u1861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1861), _u1862), _u1863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1861), _u1863), _u1864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1861), _u1862), _u1864)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_xt1_I8_J ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_xt1_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u1865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1865), _u1866), _u1867)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), _u1868), _u1866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), _u1868), _u1867)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_psubsetD ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_psubsetD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1869, tc_HOL_Obool)), _u1870), _u1871)) | ~hBOOL(hAPP(hAPP(c_member(_u1869), _u1872), _u1870)) | hBOOL(hAPP(hAPP(c_member(_u1869), _u1872), _u1871)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_not__psubset__empty ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_not__psubset__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1873, tc_HOL_Obool)), _u1874), c_Orderings_Obot__class_Obot(tc_fun(_u1873, tc_HOL_Obool)))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_diff__eq__diff__less ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_diff__eq__diff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1875) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1876), _u1877) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1878), _u1879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1876), _u1877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1878), _u1879)) )).
% 43.29/43.54 cnf(fact_diff__eq__diff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1875) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1876), _u1877) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1878), _u1879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1878), _u1879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1876), _u1877)) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_less__supI1 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_less__supI1-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1880), _u1881), _u1882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1880), _u1881), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1880), _u1882), _u1883))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_less__supI2 ( axiom ) converted to clauses:
% 43.29/43.54 cnf(fact_less__supI2-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u1884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1884), _u1885), _u1886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1884), _u1885), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1884), _u1887), _u1886))) )).
% 43.29/43.54
% 43.29/43.54 % Formula: fact_psubset__eq ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1891, tc_HOL_Obool)), _u1893), _u1895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1891, tc_HOL_Obool)), _u1893), _u1895)) )).
% 43.36/43.54 cnf(fact_psubset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1891, tc_HOL_Obool)), _u1893), _u1895)) | ( _u1893 != _u1895) )).
% 43.36/43.54 cnf(fact_psubset__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1892, tc_HOL_Obool)), _u1894), _u1896)) | ( _u1894 = _u1896) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1892, tc_HOL_Obool)), _u1894), _u1896)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_subset__iff__psubset__eq ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_subset__iff__psubset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), _u1902), _u1904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1900, tc_HOL_Obool)), _u1902), _u1904)) | ( _u1902 = _u1904) )).
% 43.36/43.54 cnf(fact_subset__iff__psubset__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1901, tc_HOL_Obool)), _u1903), _u1905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1901, tc_HOL_Obool)), _u1903), _u1905)) )).
% 43.36/43.54 cnf(fact_subset__iff__psubset__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1901, tc_HOL_Obool)), _u1903), _u1905)) | ( _u1903 != _u1905) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_psubset__imp__subset ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_psubset__imp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1906, tc_HOL_Obool)), _u1907), _u1908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1906, tc_HOL_Obool)), _u1907), _u1908)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_psubset__subset__trans ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_psubset__subset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1909, tc_HOL_Obool)), _u1910), _u1911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1909, tc_HOL_Obool)), _u1911), _u1912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1909, tc_HOL_Obool)), _u1910), _u1912)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_subset__psubset__trans ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_subset__psubset__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1913, tc_HOL_Obool)), _u1914), _u1915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1913, tc_HOL_Obool)), _u1915), _u1916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1913, tc_HOL_Obool)), _u1914), _u1916)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_gfp__upperbound ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_gfp__upperbound-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), hAPP(_u1919, _u1918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1917, _u1919))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_not__less__Least ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_not__less__Least-1, axiom, ( ~class_Orderings_Owellorder(_u1920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1920), _u1921), c_Orderings_Oord__class_OLeast(_u1920, _u1922))) | ~hBOOL(hAPP(_u1922, _u1921)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_def__gfp__unfold ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_def__gfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1923) | ( _u1924 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u1923, _u1925)) | ~c_Orderings_Oorder__class_Omono(_u1923, _u1923, _u1925) | ( _u1924 = hAPP(_u1925, _u1924)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_gfp__unfold ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_gfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1926) | ~c_Orderings_Oorder__class_Omono(_u1926, _u1926, _u1927) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(_u1926, _u1927) = hAPP(_u1927, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1926, _u1927))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__iff__diff__less__0 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__iff__diff__less__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), _u1929), _u1930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1928), _u1929), _u1930)), c_Groups_Ozero__class_Ozero(_u1928))) )).
% 43.36/43.54 cnf(fact_less__iff__diff__less__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u1928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1928), _u1929), _u1930)), c_Groups_Ozero__class_Ozero(_u1928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), _u1929), _u1930)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_weak__coinduct ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_weak__coinduct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1931), _u1932), _u1933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1931, tc_HOL_Obool)), _u1933), hAPP(_u1934, _u1933))) | hBOOL(hAPP(hAPP(c_member(_u1931), _u1932), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1931, tc_HOL_Obool), _u1934))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_nat__case__0 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_nat__case__0-1, axiom, ( ( c_Nat_Onat_Onat__case(_u1935, _u1936, _u1937, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1936) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_nat__case__Suc ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_nat__case__Suc-1, axiom, ( ( c_Nat_Onat_Onat__case(_u1938, _u1939, _u1940, hAPP(c_Nat_OSuc, _u1941)) = hAPP(_u1940, _u1941)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_gfp__lemma2 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_gfp__lemma2-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1942) | ~c_Orderings_Oorder__class_Omono(_u1942, _u1942, _u1943) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1942), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1942, _u1943)), hAPP(_u1943, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1942, _u1943)))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_gfp__lemma3 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_gfp__lemma3-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1944) | ~c_Orderings_Oorder__class_Omono(_u1944, _u1944, _u1945) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1944), hAPP(_u1945, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1944, _u1945))), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1944, _u1945))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_weak__coinduct__image ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_weak__coinduct__image-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u1946), _u1947), _u1948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1949, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1946, _u1949, _u1950), _u1948)), hAPP(_u1951, hAPP(c_Set_Oimage(_u1946, _u1949, _u1950), _u1948)))) | hBOOL(hAPP(hAPP(c_member(_u1949), hAPP(_u1950, _u1947)), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1949, tc_HOL_Obool), _u1951))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_gfp__fun__UnI2 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_gfp__fun__UnI2-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1952, tc_HOL_Obool), tc_fun(_u1952, tc_HOL_Obool), _u1953) | ~hBOOL(hAPP(hAPP(c_member(_u1952), _u1954), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1952, tc_HOL_Obool), _u1953))) | hBOOL(hAPP(hAPP(c_member(_u1952), _u1954), hAPP(_u1953, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1952, tc_HOL_Obool)), _u1955), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1952, tc_HOL_Obool), _u1953))))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_coinduct ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_coinduct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1956) | ~c_Orderings_Oorder__class_Omono(_u1956, _u1956, _u1957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1956), _u1958), hAPP(_u1957, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1956), _u1958), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1956, _u1957))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1956), _u1958), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1956, _u1957))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_coinduct3 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_coinduct3-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool), _u1960) | ~hBOOL(hAPP(hAPP(c_member(_u1959), _u1961), _u1962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1959, tc_HOL_Obool)), _u1962), hAPP(_u1960, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1959, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1959, tc_HOL_Obool), tc_fun(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool)), tc_fun(_u1959, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1959, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1959, tc_HOL_Obool), tc_fun(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool)), tc_fun(_u1959, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1959, tc_HOL_Obool))), _u1960)), _u1962))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1959, tc_HOL_Obool), _u1960)))))) | hBOOL(hAPP(hAPP(c_member(_u1959), _u1961), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1959, tc_HOL_Obool), _u1960))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_def__coinduct3 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_def__coinduct3-1, axiom, ( ( _u1963 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1964, tc_HOL_Obool), _u1965)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool), _u1965) | ~hBOOL(hAPP(hAPP(c_member(_u1964), _u1966), _u1967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1964, tc_HOL_Obool)), _u1967), hAPP(_u1965, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1964, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1964, tc_HOL_Obool), tc_fun(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool)), tc_fun(_u1964, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1964, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1964, tc_HOL_Obool), tc_fun(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool)), tc_fun(_u1964, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1964, tc_HOL_Obool))), _u1965)), _u1967))), _u1963))))) | hBOOL(hAPP(hAPP(c_member(_u1964), _u1966), _u1963)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_fold__graph_H_Oequations_I2_J ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_fold__graph_H_Oequations_I2_J-1, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( _u1987 = c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1979), skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), _u1987)) )).
% 43.36/43.54 cnf(fact_fold__graph_H_Oequations_I2_J-2, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( _u1987 = c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool))) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = hAPP(hAPP(_u1983, skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), skolem36(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979))) )).
% 43.36/43.54 cnf(fact_fold__graph_H_Oequations_I2_J-3, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( _u1987 = c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1979, tc_HOL_Obool)), _u1987), hAPP(hAPP(c_Set_Oinsert(_u1979), skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool)))), skolem36(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)) )).
% 43.36/43.54 cnf(fact_fold__graph_H_Oequations_I2_J-4, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = _u1985) | hBOOL(hAPP(hAPP(c_member(_u1979), skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), _u1987)) )).
% 43.36/43.54 cnf(fact_fold__graph_H_Oequations_I2_J-5, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = _u1985) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = hAPP(hAPP(_u1983, skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), skolem36(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979))) )).
% 43.36/43.54 cnf(fact_fold__graph_H_Oequations_I2_J-6, axiom, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = _u1985) | c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1979, tc_HOL_Obool)), _u1987), hAPP(hAPP(c_Set_Oinsert(_u1979), skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool)))), skolem36(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)) )).
% 43.36/43.54 cnf(fact_fold__graph_H_Oequations_I2_J-7, axiom, ( c_Nitpick_Ofold__graph_H(_u1980, _u1982, _u1984, _u1986, _u1988, hAPP(hAPP(_u1984, _u1990), _u1992)) | ( _u1988 != c_Orderings_Obot__class_Obot(tc_fun(_u1980, tc_HOL_Obool))) | ( hAPP(hAPP(_u1984, _u1990), _u1992) != _u1986) )).
% 43.36/43.54 cnf(fact_fold__graph_H_Oequations_I2_J-8, axiom, ( c_Nitpick_Ofold__graph_H(_u1980, _u1982, _u1984, _u1986, _u1988, hAPP(hAPP(_u1984, _u1990), _u1992)) | ~hBOOL(hAPP(hAPP(c_member(_u1980), _u1971), _u1988)) | ( hAPP(hAPP(_u1984, _u1990), _u1992) != hAPP(hAPP(_u1984, _u1971), _u1970)) | ~c_Nitpick_Ofold__graph_H(_u1980, _u1982, _u1984, _u1986, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1980, tc_HOL_Obool)), _u1988), hAPP(hAPP(c_Set_Oinsert(_u1980), _u1971), c_Orderings_Obot__class_Obot(tc_fun(_u1980, tc_HOL_Obool)))), _u1970) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_coinduct3__lemma ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_coinduct3__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1993, tc_HOL_Obool)), _u1994), hAPP(_u1995, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1993, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), _u1995)), _u1994))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1993, tc_HOL_Obool), _u1995)))))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), _u1995) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1993, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1993, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), _u1995)), _u1994))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1993, tc_HOL_Obool), _u1995)))), hAPP(_u1995, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1993, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), _u1995)), _u1994))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1993, tc_HOL_Obool), _u1995)))))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_diff__Suc ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_diff__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1996), hAPP(c_Nat_OSuc, _u1997)) = 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), _u1996), _u1997))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_order__fun_I2_J ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_order__fun_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u1998) | ~class_Enum_Oenum(_u1999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1999, _u1998)), _u2000), _u2001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1999, _u1998)), _u2000), _u2001)) )).
% 43.36/43.54 cnf(fact_order__fun_I2_J-2, axiom, ( ~class_Orderings_Oorder(_u1998) | ~class_Enum_Oenum(_u1999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1999, _u1998)), _u2000), _u2001)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u1999), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1999), c_fNot), hAPP(hAPP(c_COMBS(_u1999, _u1998, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u1998, tc_fun(_u1998, tc_HOL_Obool), _u1999), c_fequal), _u2000)), _u2001)))) )).
% 43.36/43.54 cnf(fact_order__fun_I2_J-3, axiom, ( ~class_Orderings_Oorder(_u1998) | ~class_Enum_Oenum(_u1999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1999, _u1998)), _u2000), _u2001)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u1999), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1999), c_fNot), hAPP(hAPP(c_COMBS(_u1999, _u1998, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u1998, tc_fun(_u1998, tc_HOL_Obool), _u1999), c_fequal), _u2000)), _u2001)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1999, _u1998)), _u2000), _u2001)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_setsum__diff1__nat ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_setsum__diff1__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2006), _u2008), _u2010)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2006, tc_Nat_Onat), _u2012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2006, tc_HOL_Obool)), _u2010), hAPP(hAPP(c_Set_Oinsert(_u2006), _u2008), c_Orderings_Obot__class_Obot(tc_fun(_u2006, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2006, tc_Nat_Onat), _u2012), _u2010)), hAPP(_u2012, _u2008))) )).
% 43.36/43.54 cnf(fact_setsum__diff1__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2007), _u2009), _u2011)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2007, tc_Nat_Onat), _u2013), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2007, tc_HOL_Obool)), _u2011), hAPP(hAPP(c_Set_Oinsert(_u2007), _u2009), c_Orderings_Obot__class_Obot(tc_fun(_u2007, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2007, tc_Nat_Onat), _u2013), _u2011)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__on__insert ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__on__insert-1, axiom, ( ~c_Fun_Oinj__on(_u2019, _u2021, _u2023, hAPP(hAPP(c_Set_Oinsert(_u2019), _u2025), _u2027)) | c_Fun_Oinj__on(_u2019, _u2021, _u2023, _u2027) )).
% 43.36/43.54 cnf(fact_inj__on__insert-2, axiom, ( ~c_Fun_Oinj__on(_u2019, _u2021, _u2023, hAPP(hAPP(c_Set_Oinsert(_u2019), _u2025), _u2027)) | ~hBOOL(hAPP(hAPP(c_member(_u2021), hAPP(_u2023, _u2025)), hAPP(c_Set_Oimage(_u2019, _u2021, _u2023), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2019, tc_HOL_Obool)), _u2027), hAPP(hAPP(c_Set_Oinsert(_u2019), _u2025), c_Orderings_Obot__class_Obot(tc_fun(_u2019, tc_HOL_Obool))))))) )).
% 43.36/43.54 cnf(fact_inj__on__insert-3, axiom, ( ~c_Fun_Oinj__on(_u2020, _u2022, _u2024, _u2028) | hBOOL(hAPP(hAPP(c_member(_u2022), hAPP(_u2024, _u2026)), hAPP(c_Set_Oimage(_u2020, _u2022, _u2024), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2020, tc_HOL_Obool)), _u2028), hAPP(hAPP(c_Set_Oinsert(_u2020), _u2026), c_Orderings_Obot__class_Obot(tc_fun(_u2020, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u2020, _u2022, _u2024, hAPP(hAPP(c_Set_Oinsert(_u2020), _u2026), _u2028)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_Least__Suc2 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_Least__Suc2-1, axiom, ( ~hBOOL(hAPP(_u2030, _u2031)) | ~hBOOL(hAPP(_u2032, _u2033)) | hBOOL(hAPP(_u2030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2030) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2032))) | hBOOL(hAPP(_u2030, hAPP(c_Nat_OSuc, skolem37(_u2033, _u2032, _u2031, _u2030)))) | hBOOL(hAPP(_u2032, skolem38(_u2033, _u2032, _u2031, _u2030))) )).
% 43.36/43.54 cnf(fact_Least__Suc2-2, axiom, ( ~hBOOL(hAPP(_u2030, _u2031)) | ~hBOOL(hAPP(_u2032, _u2033)) | hBOOL(hAPP(_u2030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2030) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2032))) | hBOOL(hAPP(_u2030, hAPP(c_Nat_OSuc, skolem37(_u2033, _u2032, _u2031, _u2030)))) | ~hBOOL(hAPP(_u2030, hAPP(c_Nat_OSuc, skolem38(_u2033, _u2032, _u2031, _u2030)))) )).
% 43.36/43.54 cnf(fact_Least__Suc2-3, axiom, ( ~hBOOL(hAPP(_u2030, _u2031)) | ~hBOOL(hAPP(_u2032, _u2033)) | hBOOL(hAPP(_u2030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2030) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2032))) | ~hBOOL(hAPP(_u2032, skolem37(_u2033, _u2032, _u2031, _u2030))) | hBOOL(hAPP(_u2032, skolem38(_u2033, _u2032, _u2031, _u2030))) )).
% 43.36/43.54 cnf(fact_Least__Suc2-4, axiom, ( ~hBOOL(hAPP(_u2030, _u2031)) | ~hBOOL(hAPP(_u2032, _u2033)) | hBOOL(hAPP(_u2030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2030) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2032))) | ~hBOOL(hAPP(_u2032, skolem37(_u2033, _u2032, _u2031, _u2030))) | ~hBOOL(hAPP(_u2030, hAPP(c_Nat_OSuc, skolem38(_u2033, _u2032, _u2031, _u2030)))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_the__inv__into__def ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_the__inv__into__def-1, axiom, ( ( hAPP(c_Fun_Othe__inv__into(_u2036, _u2037, _u2038, _u2039), _u2040) = c_HOL_OThe(_u2036, hAPP(hAPP(c_COMBS(_u2036, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2036), c_fconj), hAPP(hAPP(c_COMBC(_u2036, tc_fun(_u2036, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2036)), _u2038))), hAPP(hAPP(c_COMBC(_u2036, _u2037, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2037, tc_fun(_u2037, tc_HOL_Obool), _u2036), c_fequal), _u2039)), _u2040)))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__zeroE ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__zeroE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2041), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_lessI ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_lessI-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2042), hAPP(c_Nat_OSuc, _u2042))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_Suc__mono ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_Suc__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2043), _u2044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2043)), hAPP(c_Nat_OSuc, _u2044))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_zero__less__Suc ( axiom ) converted to clauses:
% 43.36/43.54 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, _u2045))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__on__empty ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__on__empty-1, axiom, ( c_Fun_Oinj__on(_u2046, _u2047, _u2048, c_Orderings_Obot__class_Obot(tc_fun(_u2046, tc_HOL_Obool))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_setsum__commute ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_setsum__commute-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2049) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2050, _u2049), hAPP(hAPP(c_COMBC(_u2050, tc_fun(_u2051, tc_HOL_Obool), _u2049), hAPP(hAPP(c_COMBB(tc_fun(_u2051, _u2049), tc_fun(tc_fun(_u2051, tc_HOL_Obool), _u2049), _u2050), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2049)), _u2052)), _u2053)), _u2054) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2049), hAPP(hAPP(c_COMBC(_u2051, tc_fun(_u2050, tc_HOL_Obool), _u2049), hAPP(hAPP(c_COMBB(tc_fun(_u2050, _u2049), tc_fun(tc_fun(_u2050, tc_HOL_Obool), _u2049), _u2051), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2050, _u2049)), hAPP(c_COMBC(_u2050, _u2051, _u2049), _u2052))), _u2054)), _u2053)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__on__def ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__on__def-1, axiom, ( ~c_Fun_Oinj__on(_u2063, _u2065, _u2067, _u2069) | ~hBOOL(hAPP(hAPP(c_member(_u2063), _u2056), _u2069)) | ~hBOOL(hAPP(hAPP(c_member(_u2063), _u2055), _u2069)) | ( hAPP(_u2067, _u2056) != hAPP(_u2067, _u2055)) | ( _u2056 = _u2055) )).
% 43.36/43.54 cnf(fact_inj__on__def-2, axiom, ( c_Fun_Oinj__on(_u2064, _u2066, _u2068, _u2070) | hBOOL(hAPP(hAPP(c_member(_u2064), skolem39(_u2070, _u2068, _u2066, _u2064)), _u2070)) )).
% 43.36/43.54 cnf(fact_inj__on__def-3, axiom, ( c_Fun_Oinj__on(_u2064, _u2066, _u2068, _u2070) | hBOOL(hAPP(hAPP(c_member(_u2064), skolem40(_u2070, _u2068, _u2066, _u2064)), _u2070)) )).
% 43.36/43.54 cnf(fact_inj__on__def-4, axiom, ( c_Fun_Oinj__on(_u2064, _u2066, _u2068, _u2070) | ( hAPP(_u2068, skolem39(_u2070, _u2068, _u2066, _u2064)) = hAPP(_u2068, skolem40(_u2070, _u2068, _u2066, _u2064))) )).
% 43.36/43.54 cnf(fact_inj__on__def-5, axiom, ( c_Fun_Oinj__on(_u2064, _u2066, _u2068, _u2070) | ( skolem39(_u2070, _u2068, _u2066, _u2064) != skolem40(_u2070, _u2068, _u2066, _u2064)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__on__id2 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__on__id2-1, axiom, ( c_Fun_Oinj__on(_u2071, _u2071, c_COMBI(_u2071), _u2072) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_the__inv__into__f__f ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_the__inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u2073, _u2074, _u2075, _u2076) | ~hBOOL(hAPP(hAPP(c_member(_u2073), _u2077), _u2076)) | ( hAPP(c_Fun_Othe__inv__into(_u2073, _u2074, _u2076, _u2075), hAPP(_u2075, _u2077)) = _u2077) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_the__inv__into__f__eq ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_the__inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u2078, _u2079, _u2080, _u2081) | ( hAPP(_u2080, _u2082) != _u2083) | ~hBOOL(hAPP(hAPP(c_member(_u2078), _u2082), _u2081)) | ( hAPP(c_Fun_Othe__inv__into(_u2078, _u2079, _u2081, _u2080), _u2083) = _u2082) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_enum__ex ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_enum__ex-1, axiom, ( ~class_Enum_Oenum(_u2086) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2086), _u2087)) | hBOOL(hAPP(_u2087, skolem41(_u2087, _u2086))) )).
% 43.36/43.54 cnf(fact_enum__ex-2, axiom, ( ~class_Enum_Oenum(_u2086) | ~hBOOL(hAPP(_u2087, _u2085)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2086), _u2087)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_exists__code ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_exists__code-1, axiom, ( ~class_Enum_Oenum(_u2090) | ~hBOOL(hAPP(_u2091, _u2088)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2090), _u2091)) )).
% 43.36/43.54 cnf(fact_exists__code-2, axiom, ( ~class_Enum_Oenum(_u2090) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2090), _u2091)) | hBOOL(hAPP(_u2091, skolem42(_u2091, _u2090))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_the__inv__into__onto ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_the__inv__into__onto-1, axiom, ( ~c_Fun_Oinj__on(_u2092, _u2093, _u2094, _u2095) | ( hAPP(c_Set_Oimage(_u2093, _u2092, c_Fun_Othe__inv__into(_u2092, _u2093, _u2095, _u2094)), hAPP(c_Set_Oimage(_u2092, _u2093, _u2094), _u2095)) = _u2095) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__on__the__inv__into ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__on__the__inv__into-1, axiom, ( ~c_Fun_Oinj__on(_u2096, _u2097, _u2098, _u2099) | c_Fun_Oinj__on(_u2097, _u2096, c_Fun_Othe__inv__into(_u2096, _u2097, _u2099, _u2098), hAPP(c_Set_Oimage(_u2096, _u2097, _u2098), _u2099)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_lfp__const ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_lfp__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2100) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u2100, hAPP(c_COMBK(_u2100, _u2100), _u2101)) = _u2101) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__on__contraD ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__on__contraD-1, axiom, ( ~c_Fun_Oinj__on(_u2102, _u2103, _u2104, _u2105) | ( _u2106 = _u2107) | ~hBOOL(hAPP(hAPP(c_member(_u2102), _u2106), _u2105)) | ~hBOOL(hAPP(hAPP(c_member(_u2102), _u2107), _u2105)) | ( hAPP(_u2104, _u2106) != hAPP(_u2104, _u2107)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__on__iff ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u2108, _u2109, _u2110, _u2111) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2112), _u2111)) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2113), _u2111)) | ( hAPP(_u2110, _u2112) != hAPP(_u2110, _u2113)) | ( _u2112 = _u2113) )).
% 43.36/43.54 cnf(fact_inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u2108, _u2109, _u2110, _u2111) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2112), _u2111)) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2113), _u2111)) | ( _u2112 != _u2113) | ( hAPP(_u2110, _u2112) = hAPP(_u2110, _u2113)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__onD ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__onD-1, axiom, ( ~c_Fun_Oinj__on(_u2114, _u2115, _u2116, _u2117) | ( hAPP(_u2116, _u2118) != hAPP(_u2116, _u2119)) | ~hBOOL(hAPP(hAPP(c_member(_u2114), _u2118), _u2117)) | ~hBOOL(hAPP(hAPP(c_member(_u2114), _u2119), _u2117)) | ( _u2118 = _u2119) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__Suc ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__Suc-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u2120) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_subset__inj__on ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_subset__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u2121, _u2122, _u2123, _u2124) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2121, tc_HOL_Obool)), _u2125), _u2124)) | c_Fun_Oinj__on(_u2121, _u2122, _u2123, _u2125) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_inj__on__diff ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_inj__on__diff-1, axiom, ( ~c_Fun_Oinj__on(_u2126, _u2127, _u2128, _u2129) | c_Fun_Oinj__on(_u2126, _u2127, _u2128, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2126, tc_HOL_Obool)), _u2129), _u2130)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_f__the__inv__into__f ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_f__the__inv__into__f-1, axiom, ( ~c_Fun_Oinj__on(_u2131, _u2132, _u2133, _u2134) | ~hBOOL(hAPP(hAPP(c_member(_u2132), _u2135), hAPP(c_Set_Oimage(_u2131, _u2132, _u2133), _u2134))) | ( hAPP(_u2133, hAPP(c_Fun_Othe__inv__into(_u2131, _u2132, _u2134, _u2133), _u2135)) = _u2135) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_gr0I ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_gr0I-1, axiom, ( ( _u2136 = 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)), _u2136)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_gr__implies__not0 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_gr__implies__not0-1, axiom, ( ( _u2138 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2137), _u2138)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__nat__zero__code ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__nat__zero__code-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2139), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_neq0__conv ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_neq0__conv-1, axiom, ( ( _u2141 = 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)), _u2141)) )).
% 43.36/43.54 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)), _u2142)) | ( _u2142 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_not__less0 ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_not__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2143), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_not__less__eq ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_not__less__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2146), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2148), hAPP(c_Nat_OSuc, _u2146))) )).
% 43.36/43.54 cnf(fact_not__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2149), hAPP(c_Nat_OSuc, _u2147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2147), _u2149)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__Suc__eq ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2152), hAPP(c_Nat_OSuc, _u2154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2152), _u2154)) | ( _u2152 = _u2154) )).
% 43.36/43.54 cnf(fact_less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2153), hAPP(c_Nat_OSuc, _u2155))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2153), _u2155)) )).
% 43.36/43.54 cnf(fact_less__Suc__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2153), hAPP(c_Nat_OSuc, _u2155))) | ( _u2153 != _u2155) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_Suc__less__eq ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_Suc__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2158)), hAPP(c_Nat_OSuc, _u2160))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2158), _u2160)) )).
% 43.36/43.54 cnf(fact_Suc__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2159), _u2161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2159)), hAPP(c_Nat_OSuc, _u2161))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_not__less__less__Suc__eq ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_not__less__less__Suc__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2162), _u2163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2162), hAPP(c_Nat_OSuc, _u2163))) | ( _u2162 = _u2163) )).
% 43.36/43.54 cnf(fact_not__less__less__Suc__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2162), _u2163)) | ( _u2162 != _u2163) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2162), hAPP(c_Nat_OSuc, _u2163))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__antisym ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__antisym-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2164), _u2165)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2164), hAPP(c_Nat_OSuc, _u2165))) | ( _u2165 = _u2164) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__SucI ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__SucI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2166), _u2167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2166), hAPP(c_Nat_OSuc, _u2167))) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_Suc__lessI ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_Suc__lessI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2168), _u2169)) | ( hAPP(c_Nat_OSuc, _u2168) = _u2169) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2168)), _u2169)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__trans__Suc ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__trans__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2170), _u2171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2171), _u2172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2170)), _u2172)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__SucE ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__SucE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2173), hAPP(c_Nat_OSuc, _u2174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2173), _u2174)) | ( _u2173 = _u2174) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_Suc__lessD ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_Suc__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2175)), _u2176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2175), _u2176)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_Suc__less__SucD ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_Suc__less__SucD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2177)), hAPP(c_Nat_OSuc, _u2178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2177), _u2178)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__or__eq__imp__le ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__or__eq__imp__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2179), _u2180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2179), _u2180)) )).
% 43.36/43.54 cnf(fact_less__or__eq__imp__le-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2179), _u2180)) | ( _u2179 != _u2180) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_le__neq__implies__less ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_le__neq__implies__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2181), _u2182)) | ( _u2181 = _u2182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2181), _u2182)) )).
% 43.36/43.54
% 43.36/43.54 % Formula: fact_less__imp__le__nat ( axiom ) converted to clauses:
% 43.36/43.54 cnf(fact_less__imp__le__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2183), _u2184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2183), _u2184)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__eq__less__or__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__eq__less__or__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2187), _u2189)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2187), _u2189)) | ( _u2187 = _u2189) )).
% 43.36/43.55 cnf(fact_le__eq__less__or__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2188), _u2190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2188), _u2190)) )).
% 43.36/43.55 cnf(fact_le__eq__less__or__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2188), _u2190)) | ( _u2188 != _u2190) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__less__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__less__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2193), _u2195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2193), _u2195)) )).
% 43.36/43.55 cnf(fact_nat__less__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2193), _u2195)) | ( _u2193 != _u2195) )).
% 43.36/43.55 cnf(fact_nat__less__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2194), _u2196)) | ( _u2194 = _u2196) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2194), _u2196)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__less__mono2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2197), _u2198)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2197), _u2199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2199), _u2198)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2199), _u2197))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__imp__diff__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__imp__diff__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2200), _u2201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2200), _u2202)), _u2201)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2203) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2204, _u2203), hAPP(c_COMBK(_u2203, _u2204), c_Groups_Ozero__class_Ozero(_u2203))), _u2205) = c_Groups_Ozero__class_Ozero(_u2203)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__subtractf ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u2206) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2207, _u2206), hAPP(hAPP(c_COMBS(_u2207, _u2206, _u2206), hAPP(hAPP(c_COMBB(_u2206, tc_fun(_u2206, _u2206), _u2207), c_Groups_Ominus__class_Ominus(_u2206)), _u2208)), _u2209)), _u2210) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2206), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2207, _u2206), _u2208), _u2210)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2207, _u2206), _u2209), _u2210))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_lfp__lowerbound ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_lfp__lowerbound-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), hAPP(_u2212, _u2213)), _u2213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), c_Inductive_Ocomplete__lattice__class_Olfp(_u2211, _u2212)), _u2213)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_the__inv__into__into ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_the__inv__into__into-1, axiom, ( ~c_Fun_Oinj__on(_u2214, _u2215, _u2216, _u2217) | ~hBOOL(hAPP(hAPP(c_member(_u2215), _u2218), hAPP(c_Set_Oimage(_u2214, _u2215, _u2216), _u2217))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2214, tc_HOL_Obool)), _u2217), _u2219)) | hBOOL(hAPP(hAPP(c_member(_u2214), hAPP(c_Fun_Othe__inv__into(_u2214, _u2215, _u2217, _u2216), _u2218)), _u2219)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__empty ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2220) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2221, _u2220), _u2222), c_Orderings_Obot__class_Obot(tc_fun(_u2221, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u2220)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum_Oempty ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2223) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2224, _u2223), _u2225), c_Orderings_Obot__class_Obot(tc_fun(_u2224, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u2223)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__Un__image__eq__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__Un__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u2226, _u2227, _u2228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2226, tc_HOL_Obool)), _u2229), _u2230)) | ( hAPP(c_Set_Oimage(_u2226, _u2227, _u2228), _u2229) != hAPP(c_Set_Oimage(_u2226, _u2227, _u2228), _u2230)) | ( _u2229 = _u2230) )).
% 43.36/43.55 cnf(fact_inj__on__Un__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u2226, _u2227, _u2228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2226, tc_HOL_Obool)), _u2229), _u2230)) | ( _u2229 != _u2230) | ( hAPP(c_Set_Oimage(_u2226, _u2227, _u2228), _u2229) = hAPP(c_Set_Oimage(_u2226, _u2227, _u2228), _u2230)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_lfp__unfold ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_lfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2231) | ~c_Orderings_Oorder__class_Omono(_u2231, _u2231, _u2232) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u2231, _u2232) = hAPP(_u2232, c_Inductive_Ocomplete__lattice__class_Olfp(_u2231, _u2232))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_def__lfp__unfold ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_def__lfp__unfold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2233) | ( _u2234 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2233, _u2235)) | ~c_Orderings_Oorder__class_Omono(_u2233, _u2233, _u2235) | ( _u2234 = hAPP(_u2235, _u2234)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__strict__subset ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__strict__subset-1, axiom, ( ~c_Fun_Oinj__on(_u2236, _u2237, _u2238, _u2239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2236, tc_HOL_Obool)), _u2240), _u2239)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2237, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2236, _u2237, _u2238), _u2240)), hAPP(c_Set_Oimage(_u2236, _u2237, _u2238), _u2239))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__Suc__eq__0__disj ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__Suc__eq__0__disj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2245), hAPP(c_Nat_OSuc, _u2247))) | ( _u2245 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2245 = hAPP(c_Nat_OSuc, skolem43(_u2247, _u2245))) )).
% 43.36/43.55 cnf(fact_less__Suc__eq__0__disj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2245), hAPP(c_Nat_OSuc, _u2247))) | ( _u2245 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem43(_u2247, _u2245)), _u2247)) )).
% 43.36/43.55 cnf(fact_less__Suc__eq__0__disj-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2246), hAPP(c_Nat_OSuc, _u2248))) | ( _u2246 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_less__Suc__eq__0__disj-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2246), hAPP(c_Nat_OSuc, _u2248))) | ( _u2246 != hAPP(c_Nat_OSuc, _u2242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2242), _u2248)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__Suc0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__Suc0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2250), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u2250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_less__Suc0-2, axiom, ( ( _u2251 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2251), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_gr0__conv__Suc ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u2255)) | ( _u2255 = hAPP(c_Nat_OSuc, skolem44(_u2255))) )).
% 43.36/43.55 cnf(fact_gr0__conv__Suc-2, axiom, ( ( _u2256 != hAPP(c_Nat_OSuc, _u2253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2256)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__le__lessD ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Suc__le__lessD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2257)), _u2258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2257), _u2258)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__less__Suc__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__less__Suc__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2259), _u2260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2260), hAPP(c_Nat_OSuc, _u2259))) | ( _u2260 = _u2259) )).
% 43.36/43.55 cnf(fact_le__less__Suc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2259), _u2260)) | ( _u2260 != _u2259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2260), hAPP(c_Nat_OSuc, _u2259))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__leI ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Suc__leI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2261), _u2262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2261)), _u2262)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__imp__less__Suc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__imp__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2263), _u2264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2263), hAPP(c_Nat_OSuc, _u2264))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__le__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Suc__le__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2267)), _u2269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2267), _u2269)) )).
% 43.36/43.55 cnf(fact_Suc__le__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2268), _u2270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2268)), _u2270)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__Suc__eq__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__Suc__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2273), hAPP(c_Nat_OSuc, _u2275))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2273), _u2275)) )).
% 43.36/43.55 cnf(fact_less__Suc__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2274), _u2276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2274), hAPP(c_Nat_OSuc, _u2276))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__eq__Suc__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__eq__Suc__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2279), _u2281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2279)), _u2281)) )).
% 43.36/43.55 cnf(fact_less__eq__Suc__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2280)), _u2282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2280), _u2282)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__less ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u2283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2284), _u2283)), _u2284)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__less__diff ( axiom ) converted to clauses:
% 43.36/43.55 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), _u2287), _u2289))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2289), _u2287)) )).
% 43.36/43.55 cnf(fact_zero__less__diff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2290), _u2288)) | 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), _u2288), _u2290))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__less__Suc ( axiom ) converted to clauses:
% 43.36/43.55 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), _u2291), _u2292)), hAPP(c_Nat_OSuc, _u2291))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__diff__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__diff__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2294), _u2293)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2295), _u2293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2294), _u2295)) )).
% 43.36/43.55 cnf(fact_less__diff__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2294), _u2295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2294), _u2293)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2295), _u2293))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__less__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2296), _u2297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2298), _u2296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2296), _u2298)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2297), _u2298))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__eq__Suc__le__raw ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__eq__Suc__le__raw-1, axiom, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2299) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2299))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__image__set__diff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u2300, _u2301, _u2302, _u2303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2300, tc_HOL_Obool)), _u2304), _u2303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2300, tc_HOL_Obool)), _u2305), _u2303)) | ( hAPP(c_Set_Oimage(_u2300, _u2301, _u2302), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2300, tc_HOL_Obool)), _u2304), _u2305)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2301, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2300, _u2301, _u2302), _u2304)), hAPP(c_Set_Oimage(_u2300, _u2301, _u2302), _u2305))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__fun__updI ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__fun__updI-1, axiom, ( ~c_Fun_Oinj__on(_u2306, _u2307, _u2308, _u2309) | hBOOL(hAPP(hAPP(c_member(_u2307), _u2310), hAPP(c_Set_Oimage(_u2306, _u2307, _u2308), _u2309))) | c_Fun_Oinj__on(_u2306, _u2307, c_Fun_Ofun__upd(_u2306, _u2307, _u2308, _u2311, _u2310), _u2309) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__pred ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u2312)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2312), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u2312) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__Suc__less ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u2313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2313), hAPP(c_Nat_OSuc, _u2314))), _u2313)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_lfp__lemma2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_lfp__lemma2-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2315) | ~c_Orderings_Oorder__class_Omono(_u2315, _u2315, _u2316) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2315), hAPP(_u2316, c_Inductive_Ocomplete__lattice__class_Olfp(_u2315, _u2316))), c_Inductive_Ocomplete__lattice__class_Olfp(_u2315, _u2316))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_lfp__lemma3 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_lfp__lemma3-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2317) | ~c_Orderings_Oorder__class_Omono(_u2317, _u2317, _u2318) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2317), c_Inductive_Ocomplete__lattice__class_Olfp(_u2317, _u2318)), hAPP(_u2318, c_Inductive_Ocomplete__lattice__class_Olfp(_u2317, _u2318)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__iff__surj ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__iff__surj-1, axiom, ( ( _u2323 = c_Orderings_Obot__class_Obot(tc_fun(_u2324, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u2324, _u2325, _u2319, _u2323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2325, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2324, _u2325, _u2319), _u2323)), _u2326)) | ( hAPP(c_Set_Oimage(_u2325, _u2324, skolem45(_u2326, _u2325, _u2324, _u2323)), _u2326) = _u2323) )).
% 43.36/43.55 cnf(fact_inj__on__iff__surj-2, axiom, ( ( _u2323 = c_Orderings_Obot__class_Obot(tc_fun(_u2324, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2325, _u2324, _u2321), _u2326) != _u2323) | c_Fun_Oinj__on(_u2324, _u2325, skolem46(_u2326, _u2325, _u2324, _u2323), _u2323) )).
% 43.36/43.55 cnf(fact_inj__on__iff__surj-3, axiom, ( ( _u2323 = c_Orderings_Obot__class_Obot(tc_fun(_u2324, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2325, _u2324, _u2321), _u2326) != _u2323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2325, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2324, _u2325, skolem46(_u2326, _u2325, _u2324, _u2323)), _u2323)), _u2326)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__diff1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__diff1-1, axiom, ( ~class_Groups_Oab__group__add(_u2327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2328), _u2329)) | ~hBOOL(hAPP(hAPP(c_member(_u2328), _u2330), _u2329)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2328, _u2327), _u2331), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2328, tc_HOL_Obool)), _u2329), hAPP(hAPP(c_Set_Oinsert(_u2328), _u2330), c_Orderings_Obot__class_Obot(tc_fun(_u2328, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2327), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2328, _u2327), _u2331), _u2329)), hAPP(_u2331, _u2330))) )).
% 43.36/43.55 cnf(fact_setsum__diff1-2, axiom, ( ~class_Groups_Oab__group__add(_u2327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2328), _u2329)) | hBOOL(hAPP(hAPP(c_member(_u2328), _u2330), _u2329)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2328, _u2327), _u2331), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2328, tc_HOL_Obool)), _u2329), hAPP(hAPP(c_Set_Oinsert(_u2328), _u2330), c_Orderings_Obot__class_Obot(tc_fun(_u2328, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2328, _u2327), _u2331), _u2329)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__diff1__ring ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__diff1__ring-1, axiom, ( ~class_Rings_Oring(_u2332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2333), _u2334)) | ~hBOOL(hAPP(hAPP(c_member(_u2333), _u2335), _u2334)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2333, _u2332), _u2336), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2333, tc_HOL_Obool)), _u2334), hAPP(hAPP(c_Set_Oinsert(_u2333), _u2335), c_Orderings_Obot__class_Obot(tc_fun(_u2333, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2332), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2333, _u2332), _u2336), _u2334)), hAPP(_u2336, _u2335))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__Un ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__Un-1, axiom, ( ~c_Fun_Oinj__on(_u2342, _u2344, _u2346, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2342, tc_HOL_Obool)), _u2348), _u2350)) | c_Fun_Oinj__on(_u2342, _u2344, _u2346, _u2348) )).
% 43.36/43.55 cnf(fact_inj__on__Un-2, axiom, ( ~c_Fun_Oinj__on(_u2342, _u2344, _u2346, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2342, tc_HOL_Obool)), _u2348), _u2350)) | c_Fun_Oinj__on(_u2342, _u2344, _u2346, _u2350) )).
% 43.36/43.55 cnf(fact_inj__on__Un-3, axiom, ( ~c_Fun_Oinj__on(_u2342, _u2344, _u2346, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2342, tc_HOL_Obool)), _u2348), _u2350)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2344, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2342, _u2344, _u2346), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2342, tc_HOL_Obool)), _u2348), _u2350))), hAPP(c_Set_Oimage(_u2342, _u2344, _u2346), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2342, tc_HOL_Obool)), _u2350), _u2348))) = c_Orderings_Obot__class_Obot(tc_fun(_u2344, tc_HOL_Obool))) )).
% 43.36/43.55 cnf(fact_inj__on__Un-4, axiom, ( ~c_Fun_Oinj__on(_u2343, _u2345, _u2347, _u2349) | ~c_Fun_Oinj__on(_u2343, _u2345, _u2347, _u2351) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2345, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2343, _u2345, _u2347), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2343, tc_HOL_Obool)), _u2349), _u2351))), hAPP(c_Set_Oimage(_u2343, _u2345, _u2347), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2343, tc_HOL_Obool)), _u2351), _u2349))) != c_Orderings_Obot__class_Obot(tc_fun(_u2345, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2343, _u2345, _u2347, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2343, tc_HOL_Obool)), _u2349), _u2351)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__reindex__cong ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2353) | ~c_Fun_Oinj__on(_u2354, _u2355, _u2356, _u2357) | ( _u2358 != hAPP(c_Set_Oimage(_u2354, _u2355, _u2356), _u2357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2355, _u2353), _u2360), _u2358) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2354, _u2353), _u2359), _u2357)) | hBOOL(hAPP(hAPP(c_member(_u2354), skolem47(_u2360, _u2359, _u2358, _u2357, _u2356, _u2355, _u2354, _u2353)), _u2357)) )).
% 43.36/43.55 cnf(fact_setsum__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2353) | ~c_Fun_Oinj__on(_u2354, _u2355, _u2356, _u2357) | ( _u2358 != hAPP(c_Set_Oimage(_u2354, _u2355, _u2356), _u2357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2355, _u2353), _u2360), _u2358) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2354, _u2353), _u2359), _u2357)) | ( hAPP(_u2359, skolem47(_u2360, _u2359, _u2358, _u2357, _u2356, _u2355, _u2354, _u2353)) != hAPP(_u2360, hAPP(_u2356, skolem47(_u2360, _u2359, _u2358, _u2357, _u2356, _u2355, _u2354, _u2353)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__diff__nat ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__diff__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2361), _u2362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2361, tc_HOL_Obool)), _u2362), _u2363)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2361, tc_Nat_Onat), _u2364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2361, tc_HOL_Obool)), _u2363), _u2362)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2361, tc_Nat_Onat), _u2364), _u2363)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2361, tc_Nat_Onat), _u2364), _u2362))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__diff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__diff-1, axiom, ( ~class_Groups_Oab__group__add(_u2365) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2366), _u2367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2366, tc_HOL_Obool)), _u2368), _u2367)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2366, _u2365), _u2369), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2366, tc_HOL_Obool)), _u2367), _u2368)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2365), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2366, _u2365), _u2369), _u2367)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2366, _u2365), _u2369), _u2368))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2371) | ~class_Groups_Oordered__ab__semigroup__add(_u2371) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2372, _u2371), _u2374), _u2373)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2372, _u2371), _u2375), _u2373))) | hBOOL(hAPP(hAPP(c_member(_u2372), skolem48(_u2375, _u2374, _u2373, _u2372, _u2371)), _u2373)) )).
% 43.36/43.55 cnf(fact_setsum__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2371) | ~class_Groups_Oordered__ab__semigroup__add(_u2371) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2372, _u2371), _u2374), _u2373)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2372, _u2371), _u2375), _u2373))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), hAPP(_u2374, skolem48(_u2375, _u2374, _u2373, _u2372, _u2371))), hAPP(_u2375, skolem48(_u2375, _u2374, _u2373, _u2372, _u2371)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mk__less__def ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mk__less__def-1, axiom, ( ~c_Partial__Function_Omk__less(_u2380, _u2382, _u2384, _u2386) | hBOOL(hAPP(hAPP(_u2382, _u2384), _u2386)) )).
% 43.36/43.55 cnf(fact_mk__less__def-2, axiom, ( ~c_Partial__Function_Omk__less(_u2380, _u2382, _u2384, _u2386) | ~hBOOL(hAPP(hAPP(_u2382, _u2386), _u2384)) )).
% 43.36/43.55 cnf(fact_mk__less__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u2383, _u2385), _u2387)) | hBOOL(hAPP(hAPP(_u2383, _u2387), _u2385)) | c_Partial__Function_Omk__less(_u2381, _u2383, _u2385, _u2387) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__SucD ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__SucD-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2389, tc_Nat_Onat), _u2390), _u2391) != hAPP(c_Nat_OSuc, _u2392)) | hBOOL(hAPP(hAPP(c_member(_u2389), skolem49(_u2392, _u2391, _u2390, _u2389)), _u2391)) )).
% 43.36/43.55 cnf(fact_setsum__SucD-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2389, tc_Nat_Onat), _u2390), _u2391) != hAPP(c_Nat_OSuc, _u2392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u2390, skolem49(_u2392, _u2391, _u2390, _u2389)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf1I ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf1I-1, axiom, ( ~hBOOL(hAPP(_u2393, _u2394)) | ~hBOOL(hAPP(_u2395, _u2394)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2396, tc_HOL_Obool)), _u2393), _u2395), _u2394)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf1E ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf1E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2397, tc_HOL_Obool)), _u2398), _u2399), _u2400)) | hBOOL(hAPP(_u2398, _u2400)) )).
% 43.36/43.55 cnf(fact_inf1E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2397, tc_HOL_Obool)), _u2398), _u2399), _u2400)) | hBOOL(hAPP(_u2399, _u2400)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_IntI ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2401), _u2402), _u2403)) | ~hBOOL(hAPP(hAPP(c_member(_u2401), _u2402), _u2404)) | hBOOL(hAPP(hAPP(c_member(_u2401), _u2402), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2401, tc_HOL_Obool)), _u2403), _u2404))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_IntE ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_IntE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2405), _u2406), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2405, tc_HOL_Obool)), _u2407), _u2408))) | hBOOL(hAPP(hAPP(c_member(_u2405), _u2406), _u2407)) )).
% 43.36/43.55 cnf(fact_IntE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2405), _u2406), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2405, tc_HOL_Obool)), _u2407), _u2408))) | hBOOL(hAPP(hAPP(c_member(_u2405), _u2406), _u2408)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__not__refl ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__not__refl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2409), _u2409)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__neq__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__neq__iff-1, axiom, ( ( _u2412 = _u2414) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2412), _u2414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2414), _u2412)) )).
% 43.36/43.55 cnf(fact_nat__neq__iff-2, axiom, ( ( _u2413 != _u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2413), _u2415)) )).
% 43.36/43.55 cnf(fact_nat__neq__iff-3, axiom, ( ( _u2413 != _u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2415), _u2413)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_linorder__neqE__nat ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_linorder__neqE__nat-1, axiom, ( ( _u2416 = _u2417) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2416), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2417), _u2416)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__irrefl__nat ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__irrefl__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2418), _u2418)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__not__refl2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__not__refl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2419), _u2420)) | ( _u2420 != _u2419) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__not__refl3 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__not__refl3-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2421), _u2422)) | ( _u2421 != _u2422) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__less__cases ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__less__cases-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2423), _u2424)) | ( _u2423 = _u2424) | hBOOL(hAPP(hAPP(_u2425, _u2424), _u2423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2424), _u2423)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__absorb ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2426, tc_HOL_Obool)), _u2427), _u2427) = _u2427) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf_Oidem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf_Oidem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2428) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2428), _u2429), _u2429) = _u2429) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2430) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2430), _u2431), _u2431) = _u2431) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__fun__def ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__fun__def-1, axiom, ( ~class_Lattices_Olattice(_u2432) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2433, _u2432)), _u2434), _u2435), _u2436) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2432), hAPP(_u2434, _u2436)), hAPP(_u2435, _u2436))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2437, tc_HOL_Obool)), _u2438), _u2439) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2437, tc_HOL_Obool)), _u2439), _u2438)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf_Ocommute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf_Ocommute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2440), _u2441), _u2442) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2440), _u2442), _u2441)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__sup__aci_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__sup__aci_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u2443) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2443), _u2444), _u2445) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2443), _u2445), _u2444)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2446) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2446), _u2447), _u2448) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2446), _u2448), _u2447)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__left__absorb ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__left__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2449, tc_HOL_Obool)), _u2450), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2449, tc_HOL_Obool)), _u2450), _u2451)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2449, tc_HOL_Obool)), _u2450), _u2451)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf_Oleft__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf_Oleft__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2452) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2452), _u2453), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2452), _u2453), _u2454)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2452), _u2453), _u2454)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__sup__aci_I4_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__sup__aci_I4_J-1, axiom, ( ~class_Lattices_Olattice(_u2455) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2455), _u2456), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2455), _u2456), _u2457)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2455), _u2456), _u2457)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__left__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__left__idem-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2458) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2458), _u2459), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2458), _u2459), _u2460)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2458), _u2459), _u2460)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__left__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__left__commute-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool)), _u2462), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool)), _u2463), _u2464)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool)), _u2463), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool)), _u2462), _u2464))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf_Oleft__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf_Oleft__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2465) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2465), _u2466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2465), _u2467), _u2468)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2465), _u2467), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2465), _u2466), _u2468))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__sup__aci_I3_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__sup__aci_I3_J-1, axiom, ( ~class_Lattices_Olattice(_u2469) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2469), _u2470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2469), _u2471), _u2472)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2469), _u2471), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2469), _u2470), _u2472))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__left__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__left__commute-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2473), _u2474), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2473), _u2475), _u2476)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2473), _u2475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2473), _u2474), _u2476))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__assoc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__assoc-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2477, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2477, tc_HOL_Obool)), _u2478), _u2479)), _u2480) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2477, tc_HOL_Obool)), _u2478), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2477, tc_HOL_Obool)), _u2479), _u2480))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf_Oassoc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf_Oassoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2481) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2481), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2481), _u2482), _u2483)), _u2484) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2481), _u2482), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2481), _u2483), _u2484))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__sup__aci_I2_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__sup__aci_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u2485) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2485), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2485), _u2486), _u2487)), _u2488) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2485), _u2486), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2485), _u2487), _u2488))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__assoc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__assoc-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2489) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2489), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2489), _u2490), _u2491)), _u2492) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2489), _u2490), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2489), _u2491), _u2492))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__apply ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__apply-1, axiom, ( ~class_Lattices_Olattice(_u2493) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2494, _u2493)), _u2495), _u2496), _u2497) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2493), hAPP(_u2495, _u2497)), hAPP(_u2496, _u2497))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf1D1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf1D1-1, axiom, ( hBOOL(hAPP(_u2499, _u2501)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2498, tc_HOL_Obool)), _u2499), _u2500), _u2501)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf1D2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf1D2-1, axiom, ( hBOOL(hAPP(_u2504, _u2505)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2502, tc_HOL_Obool)), _u2503), _u2504), _u2505)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Oidem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Oidem-1, axiom, ( ~class_Lattices_Olattice(_u2506) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2506), _u2507), _u2507) = _u2507) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Pow__Int__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Pow__Int__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u2508), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2508, tc_HOL_Obool)), _u2509), _u2510)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u2508, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u2508), _u2509)), hAPP(c_Set_OPow(_u2508), _u2510))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__sup__ord_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__sup__ord_I1_J-1, axiom, ( ~class_Lattices_Olattice(_u2511) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2511), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2511), _u2512), _u2513)), _u2512)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__le1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__le1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2514) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2514), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2514), _u2515), _u2516)), _u2515)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__sup__ord_I2_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__sup__ord_I2_J-1, axiom, ( ~class_Lattices_Olattice(_u2517) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2517), _u2518), _u2519)), _u2519)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__le2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__le2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2520), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2520), _u2521), _u2522)), _u2522)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__iff__inf ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__iff__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2523), _u2524), _u2525)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2523), _u2524), _u2525) = _u2524) )).
% 43.36/43.55 cnf(fact_le__iff__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2523) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2523), _u2524), _u2525) != _u2524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2523), _u2524), _u2525)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__inf__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__inf__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2526), _u2528), _u2529))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), _u2528)) )).
% 43.36/43.55 cnf(fact_le__inf__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2526), _u2528), _u2529))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), _u2529)) )).
% 43.36/43.55 cnf(fact_le__inf__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u2526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), _u2528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), _u2529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2526), _u2528), _u2529))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__infI1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2530) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2530), _u2531), _u2532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2530), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2530), _u2531), _u2533)), _u2532)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__infI2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2534), _u2535), _u2536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2534), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2534), _u2537), _u2535)), _u2536)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__absorb1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__absorb1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2538), _u2539), _u2540)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2538), _u2539), _u2540) = _u2539) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__absorb2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__absorb2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2541), _u2542), _u2543)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2541), _u2543), _u2542) = _u2542) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__infI ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__infI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2544), _u2545), _u2546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2544), _u2545), _u2547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2544), _u2545), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2544), _u2546), _u2547))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__greatest ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__greatest-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2548), _u2549), _u2550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2548), _u2549), _u2551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2548), _u2549), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2548), _u2550), _u2551))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__mono-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2552), _u2553), _u2554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2552), _u2555), _u2556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2552), _u2553), _u2555)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2552), _u2554), _u2556))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__infE ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__infE-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2557), _u2558), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2557), _u2559), _u2560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2557), _u2558), _u2559)) )).
% 43.36/43.55 cnf(fact_le__infE-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u2557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2557), _u2558), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2557), _u2559), _u2560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2557), _u2558), _u2560)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__infI1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__infI1-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2561) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2561), _u2562), _u2563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2561), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2561), _u2562), _u2564)), _u2563)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__infI2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__infI2-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2565), _u2566), _u2567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2565), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2565), _u2568), _u2566)), _u2567)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__bot__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__bot__left-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2569) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2569), c_Orderings_Obot__class_Obot(_u2569)), _u2570) = c_Orderings_Obot__class_Obot(_u2569)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__bot__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__bot__right-1, axiom, ( ~class_Lattices_Obounded__lattice__bot(_u2571) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2571), _u2572), c_Orderings_Obot__class_Obot(_u2571)) = c_Orderings_Obot__class_Obot(_u2571)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__sup__absorb ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u2573) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2573), _u2574), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2573), _u2574), _u2575)) = _u2574) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_sup__inf__absorb ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_sup__inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u2576) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2576), _u2577), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2576), _u2577), _u2578)) = _u2577) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__sup__distrib1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__sup__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2579) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2579), _u2580), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2579), _u2581), _u2582)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2579), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2579), _u2580), _u2581)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2579), _u2580), _u2582))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_sup__inf__distrib1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_sup__inf__distrib1-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2583) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2583), _u2584), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2583), _u2585), _u2586)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2583), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2583), _u2584), _u2585)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2583), _u2584), _u2586))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__sup__distrib2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__sup__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2587) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2587), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2587), _u2588), _u2589)), _u2590) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2587), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2587), _u2588), _u2590)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2587), _u2589), _u2590))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_sup__inf__distrib2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_sup__inf__distrib2-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u2591) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2591), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2591), _u2592), _u2593)), _u2594) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2591), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2591), _u2592), _u2594)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2591), _u2593), _u2594))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2599), _u2601), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2599, tc_HOL_Obool)), _u2603), _u2605))) | hBOOL(hAPP(hAPP(c_member(_u2599), _u2601), _u2603)) )).
% 43.36/43.55 cnf(fact_Int__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2599), _u2601), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2599, tc_HOL_Obool)), _u2603), _u2605))) | hBOOL(hAPP(hAPP(c_member(_u2599), _u2601), _u2605)) )).
% 43.36/43.55 cnf(fact_Int__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2600), _u2602), _u2604)) | ~hBOOL(hAPP(hAPP(c_member(_u2600), _u2602), _u2606)) | hBOOL(hAPP(hAPP(c_member(_u2600), _u2602), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2600, tc_HOL_Obool)), _u2604), _u2606))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_IntD1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_IntD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2607), _u2608), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2607, tc_HOL_Obool)), _u2609), _u2610))) | hBOOL(hAPP(hAPP(c_member(_u2607), _u2608), _u2609)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_IntD2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_IntD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2611), _u2612), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2611, tc_HOL_Obool)), _u2613), _u2614))) | hBOOL(hAPP(hAPP(c_member(_u2611), _u2612), _u2614)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__empty__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__empty__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2615, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2615, tc_HOL_Obool))), _u2616) = c_Orderings_Obot__class_Obot(tc_fun(_u2615, tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__empty__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__empty__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2617, tc_HOL_Obool)), _u2618), c_Orderings_Obot__class_Obot(tc_fun(_u2617, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2617, tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_disjoint__iff__not__equal ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_disjoint__iff__not__equal-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2626, tc_HOL_Obool)), _u2628), _u2630) != c_Orderings_Obot__class_Obot(tc_fun(_u2626, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2626), _u2620), _u2628)) | ~hBOOL(hAPP(hAPP(c_member(_u2626), _u2619), _u2630)) | ( _u2620 != _u2619) )).
% 43.36/43.55 cnf(fact_disjoint__iff__not__equal-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2627, tc_HOL_Obool)), _u2629), _u2631) = c_Orderings_Obot__class_Obot(tc_fun(_u2627, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2627), skolem50(_u2631, _u2629, _u2627)), _u2629)) )).
% 43.36/43.55 cnf(fact_disjoint__iff__not__equal-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2627, tc_HOL_Obool)), _u2629), _u2631) = c_Orderings_Obot__class_Obot(tc_fun(_u2627, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2627), skolem51(_u2631, _u2629, _u2627)), _u2631)) )).
% 43.36/43.55 cnf(fact_disjoint__iff__not__equal-4, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2627, tc_HOL_Obool)), _u2629), _u2631) = c_Orderings_Obot__class_Obot(tc_fun(_u2627, tc_HOL_Obool))) | ( skolem50(_u2631, _u2629, _u2627) = skolem51(_u2631, _u2629, _u2627)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_insert__inter__insert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_insert__inter__insert-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2632, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2633), _u2634)), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2633), _u2635)) = hAPP(hAPP(c_Set_Oinsert(_u2632), _u2633), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2632, tc_HOL_Obool)), _u2634), _u2635))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__lower1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__lower1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2636, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2636, tc_HOL_Obool)), _u2637), _u2638)), _u2637)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__lower2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__lower2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2639, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2639, tc_HOL_Obool)), _u2640), _u2641)), _u2641)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__absorb2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__absorb2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2642, tc_HOL_Obool)), _u2643), _u2644)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2642, tc_HOL_Obool)), _u2643), _u2644) = _u2643) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__absorb1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__absorb1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2645, tc_HOL_Obool)), _u2646), _u2647)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2645, tc_HOL_Obool)), _u2647), _u2646) = _u2646) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__greatest ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__greatest-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2648, tc_HOL_Obool)), _u2649), _u2650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2648, tc_HOL_Obool)), _u2649), _u2651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2648, tc_HOL_Obool)), _u2649), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2648, tc_HOL_Obool)), _u2650), _u2651))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2652, tc_HOL_Obool)), _u2653), _u2654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2652, tc_HOL_Obool)), _u2655), _u2656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2652, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2652, tc_HOL_Obool)), _u2653), _u2655)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2652, tc_HOL_Obool)), _u2654), _u2656))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__Un__distrib ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2657, tc_HOL_Obool)), _u2658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2657, tc_HOL_Obool)), _u2659), _u2660)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2657, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2657, tc_HOL_Obool)), _u2658), _u2659)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2657, tc_HOL_Obool)), _u2658), _u2660))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Un__Int__distrib ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Un__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2661, tc_HOL_Obool)), _u2662), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2661, tc_HOL_Obool)), _u2663), _u2664)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2661, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2661, tc_HOL_Obool)), _u2662), _u2663)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2661, tc_HOL_Obool)), _u2662), _u2664))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__Un__distrib2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2665, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2665, tc_HOL_Obool)), _u2666), _u2667)), _u2668) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2665, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2665, tc_HOL_Obool)), _u2666), _u2668)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2665, tc_HOL_Obool)), _u2667), _u2668))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Un__Int__distrib2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Un__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2669, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2669, tc_HOL_Obool)), _u2670), _u2671)), _u2672) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2669, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2669, tc_HOL_Obool)), _u2670), _u2672)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2669, tc_HOL_Obool)), _u2671), _u2672))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Un__Int__crazy ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Un__Int__crazy-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), _u2674), _u2675)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), _u2675), _u2676))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), _u2676), _u2674)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), _u2674), _u2675)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), _u2675), _u2676))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), _u2676), _u2674))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Diff__Int__distrib ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Diff__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2677, tc_HOL_Obool)), _u2678), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), _u2679), _u2680)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2677, tc_HOL_Obool)), _u2678), _u2679)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2677, tc_HOL_Obool)), _u2678), _u2680))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__Diff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__Diff-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2681, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2681, tc_HOL_Obool)), _u2682), _u2683)), _u2684) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2681, tc_HOL_Obool)), _u2682), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2681, tc_HOL_Obool)), _u2683), _u2684))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Diff__Int__distrib2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Diff__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2685, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2685, tc_HOL_Obool)), _u2686), _u2687)), _u2688) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2685, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2685, tc_HOL_Obool)), _u2686), _u2688)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2685, tc_HOL_Obool)), _u2687), _u2688))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Diff__Int2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Diff__Int2-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2689, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2689, tc_HOL_Obool)), _u2690), _u2691)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2689, tc_HOL_Obool)), _u2692), _u2691)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2689, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2689, tc_HOL_Obool)), _u2690), _u2691)), _u2692)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__Int-1, axiom, ( ~c_Fun_Oinj__on(_u2693, _u2694, _u2695, _u2696) | ~c_Fun_Oinj__on(_u2693, _u2694, _u2695, _u2697) | c_Fun_Oinj__on(_u2693, _u2694, _u2695, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2693, tc_HOL_Obool)), _u2696), _u2697)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__Int__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__Int__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2702, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2702, tc_fun(_u2702, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2702)), _u2704)), hAPP(hAPP(c_COMBC(_u2702, tc_fun(_u2702, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2702)), _u2706)), _u2708)) | hBOOL(hAPP(hAPP(c_member(_u2702), _u2708), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2702, tc_HOL_Obool)), _u2704), _u2706))) )).
% 43.36/43.55 cnf(fact_inf__Int__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2703), _u2709), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2703, tc_HOL_Obool)), _u2705), _u2707))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2703, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2703, tc_fun(_u2703, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2703)), _u2705)), hAPP(hAPP(c_COMBC(_u2703, tc_fun(_u2703, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2703)), _u2707)), _u2709)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__restrict__set ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__restrict__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2710) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2711), _u2712)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2711, _u2710), _u2713), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2711, tc_HOL_Obool)), _u2712), _u2714)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2711, _u2710), hAPP(hAPP(c_COMBC(_u2711, _u2710, _u2710), hAPP(hAPP(c_COMBS(_u2711, _u2710, tc_fun(_u2710, _u2710)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2710, tc_fun(_u2710, _u2710)), _u2711), c_If(_u2710)), hAPP(hAPP(c_COMBC(_u2711, tc_fun(_u2711, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2711)), _u2714))), _u2713)), c_Groups_Ozero__class_Ozero(_u2710))), _u2712)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_distrib__sup__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_distrib__sup__le-1, axiom, ( ~class_Lattices_Olattice(_u2715) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2715), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2715), _u2716), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2715), _u2717), _u2718))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2715), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2715), _u2716), _u2717)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2715), _u2716), _u2718)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_distrib__inf__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_distrib__inf__le-1, axiom, ( ~class_Lattices_Olattice(_u2719) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2719), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2719), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2719), _u2720), _u2721)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2719), _u2720), _u2722))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2719), _u2720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2719), _u2721), _u2722)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__insert__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__insert__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2727), _u2729), _u2731)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2727, tc_HOL_Obool)), _u2731), hAPP(hAPP(c_Set_Oinsert(_u2727), _u2729), _u2733)) = hAPP(hAPP(c_Set_Oinsert(_u2727), _u2729), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2727, tc_HOL_Obool)), _u2731), _u2733))) )).
% 43.36/43.55 cnf(fact_Int__insert__right-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2728), _u2730), _u2732)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2728, tc_HOL_Obool)), _u2732), hAPP(hAPP(c_Set_Oinsert(_u2728), _u2730), _u2734)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2728, tc_HOL_Obool)), _u2732), _u2734)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__insert__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__insert__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2739), _u2741), _u2743)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2739, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2739), _u2741), _u2745)), _u2743) = hAPP(hAPP(c_Set_Oinsert(_u2739), _u2741), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2739, tc_HOL_Obool)), _u2745), _u2743))) )).
% 43.36/43.55 cnf(fact_Int__insert__left-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2740), _u2742), _u2744)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2740, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2742), _u2746)), _u2744) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2740, tc_HOL_Obool)), _u2746), _u2744)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__insert__right__if0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__insert__right__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2747), _u2748), _u2749)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2747, tc_HOL_Obool)), _u2749), hAPP(hAPP(c_Set_Oinsert(_u2747), _u2748), _u2750)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2747, tc_HOL_Obool)), _u2749), _u2750)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__insert__left__if0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__insert__left__if0-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u2751), _u2752), _u2753)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2751, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2751), _u2752), _u2754)), _u2753) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2751, tc_HOL_Obool)), _u2754), _u2753)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__insert__right__if1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__insert__right__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2755), _u2756), _u2757)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2755, tc_HOL_Obool)), _u2757), hAPP(hAPP(c_Set_Oinsert(_u2755), _u2756), _u2758)) = hAPP(hAPP(c_Set_Oinsert(_u2755), _u2756), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2755, tc_HOL_Obool)), _u2757), _u2758))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Int__insert__left__if1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Int__insert__left__if1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u2759), _u2760), _u2761)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2759, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2759), _u2760), _u2762)), _u2761) = hAPP(hAPP(c_Set_Oinsert(_u2759), _u2760), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2759, tc_HOL_Obool)), _u2762), _u2761))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mono__inf ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mono__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u2763) | ~class_Lattices_Osemilattice__inf(_u2764) | ~c_Orderings_Oorder__class_Omono(_u2764, _u2763, _u2765) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2763), hAPP(_u2765, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2764), _u2766), _u2767))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2763), hAPP(_u2765, _u2766)), hAPP(_u2765, _u2767)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_image__Int__subset ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2768, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2769, _u2768, _u2770), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2769, tc_HOL_Obool)), _u2771), _u2772))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2768, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2769, _u2768, _u2770), _u2771)), hAPP(c_Set_Oimage(_u2769, _u2768, _u2770), _u2772)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Diff__disjoint ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Diff__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2773, tc_HOL_Obool)), _u2774), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2773, tc_HOL_Obool)), _u2775), _u2774)) = c_Orderings_Obot__class_Obot(tc_fun(_u2773, tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Diff__triv ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Diff__triv-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2776, tc_HOL_Obool)), _u2777), _u2778) != c_Orderings_Obot__class_Obot(tc_fun(_u2776, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2776, tc_HOL_Obool)), _u2777), _u2778) = _u2777) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Un__Int__assoc__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Un__Int__assoc__eq-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2783, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2783, tc_HOL_Obool)), _u2785), _u2787)), _u2789) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2783, tc_HOL_Obool)), _u2785), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2783, tc_HOL_Obool)), _u2787), _u2789))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2783, tc_HOL_Obool)), _u2789), _u2785)) )).
% 43.36/43.55 cnf(fact_Un__Int__assoc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2784, tc_HOL_Obool)), _u2790), _u2786)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2784, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2784, tc_HOL_Obool)), _u2786), _u2788)), _u2790) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2784, tc_HOL_Obool)), _u2786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2784, tc_HOL_Obool)), _u2788), _u2790))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Un__Diff__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Un__Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2791, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2791, tc_HOL_Obool)), _u2792), _u2793)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2791, tc_HOL_Obool)), _u2792), _u2793)) = _u2792) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Diff__Un ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Diff__Un-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2794, tc_HOL_Obool)), _u2795), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2794, tc_HOL_Obool)), _u2796), _u2797)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2794, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2794, tc_HOL_Obool)), _u2795), _u2796)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2794, tc_HOL_Obool)), _u2795), _u2797))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Diff__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Diff__Int-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2798, tc_HOL_Obool)), _u2799), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2798, tc_HOL_Obool)), _u2800), _u2801)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2798, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2798, tc_HOL_Obool)), _u2799), _u2800)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2798, tc_HOL_Obool)), _u2799), _u2801))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum_Oinfinite ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2802) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2803), _u2804)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2803, _u2802), _u2805), _u2804) = c_Groups_Ozero__class_Ozero(_u2802)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__infinite ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2806) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2807), _u2808)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2807, _u2806), _u2809), _u2808) = c_Groups_Ozero__class_Ozero(_u2806)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mono__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mono__Int-1, axiom, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2810, tc_HOL_Obool), tc_fun(_u2811, tc_HOL_Obool), _u2812) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2811, tc_HOL_Obool)), hAPP(_u2812, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2810, tc_HOL_Obool)), _u2813), _u2814))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2811, tc_HOL_Obool)), hAPP(_u2812, _u2813)), hAPP(_u2812, _u2814)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__eq__0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2817), _u2818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2817, tc_Nat_Onat), _u2819), _u2818) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u2817), _u2815), _u2818)) | ( hAPP(_u2819, _u2815) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_setsum__eq__0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2817), _u2818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2817, tc_Nat_Onat), _u2819), _u2818) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u2817), skolem52(_u2819, _u2818, _u2817)), _u2818)) )).
% 43.36/43.55 cnf(fact_setsum__eq__0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2817), _u2818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2817, tc_Nat_Onat), _u2819), _u2818) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u2819, skolem52(_u2819, _u2818, _u2817)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__image__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u2820, _u2821, _u2822, _u2823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2820, tc_HOL_Obool)), _u2824), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2820, tc_HOL_Obool)), _u2825), _u2823)) | ( hAPP(c_Set_Oimage(_u2820, _u2821, _u2822), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2820, tc_HOL_Obool)), _u2824), _u2825)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2821, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2820, _u2821, _u2822), _u2824)), hAPP(c_Set_Oimage(_u2820, _u2821, _u2822), _u2825))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_lfp__induct ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_lfp__induct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2826) | ~c_Orderings_Oorder__class_Omono(_u2826, _u2826, _u2827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2826), hAPP(_u2827, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2826), c_Inductive_Ocomplete__lattice__class_Olfp(_u2826, _u2827)), _u2828))), _u2828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2826), c_Inductive_Ocomplete__lattice__class_Olfp(_u2826, _u2827)), _u2828)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_def__lfp__induct ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_def__lfp__induct-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2829) | ( _u2830 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2829, _u2831)) | ~c_Orderings_Oorder__class_Omono(_u2829, _u2829, _u2831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2829), hAPP(_u2831, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2829), _u2830), _u2832))), _u2832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2829), _u2830), _u2832)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__eq__Suc0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__eq__Suc0__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u2837), skolem53(_u2839, _u2838, _u2837)), _u2838)) )).
% 43.36/43.55 cnf(fact_setsum__eq__Suc0__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u2839, skolem53(_u2839, _u2838, _u2837)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55 cnf(fact_setsum__eq__Suc0__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u2837), _u2833), _u2838)) | ( skolem53(_u2839, _u2838, _u2837) = _u2833) | ( hAPP(_u2839, _u2833) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_setsum__eq__Suc0__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u2837), _u2836), _u2838)) | ( hAPP(_u2839, _u2836) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u2837), skolem54(_u2839, _u2838, _u2837, _u2836)), _u2838)) )).
% 43.36/43.55 cnf(fact_setsum__eq__Suc0__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u2837), _u2836), _u2838)) | ( hAPP(_u2839, _u2836) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2836 != skolem54(_u2839, _u2838, _u2837, _u2836)) )).
% 43.36/43.55 cnf(fact_setsum__eq__Suc0__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u2837), _u2836), _u2838)) | ( hAPP(_u2839, _u2836) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u2839, skolem54(_u2839, _u2838, _u2837, _u2836)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__delta ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2841), _u2842)) | ~hBOOL(hAPP(hAPP(c_member(_u2841), _u2843), _u2842)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2841, _u2840), hAPP(hAPP(c_COMBC(_u2841, _u2840, _u2840), hAPP(hAPP(c_COMBS(_u2841, _u2840, tc_fun(_u2840, _u2840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2840, tc_fun(_u2840, _u2840)), _u2841), c_If(_u2840)), hAPP(hAPP(c_COMBC(_u2841, _u2841, tc_HOL_Obool), c_fequal), _u2843))), _u2844)), c_Groups_Ozero__class_Ozero(_u2840))), _u2842) = hAPP(_u2844, _u2843)) )).
% 43.36/43.55 cnf(fact_setsum__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2841), _u2842)) | hBOOL(hAPP(hAPP(c_member(_u2841), _u2843), _u2842)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2841, _u2840), hAPP(hAPP(c_COMBC(_u2841, _u2840, _u2840), hAPP(hAPP(c_COMBS(_u2841, _u2840, tc_fun(_u2840, _u2840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2840, tc_fun(_u2840, _u2840)), _u2841), c_If(_u2840)), hAPP(hAPP(c_COMBC(_u2841, _u2841, tc_HOL_Obool), c_fequal), _u2843))), _u2844)), c_Groups_Ozero__class_Ozero(_u2840))), _u2842) = c_Groups_Ozero__class_Ozero(_u2840)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__delta_H ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2846), _u2847)) | ~hBOOL(hAPP(hAPP(c_member(_u2846), _u2848), _u2847)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2846, _u2845), hAPP(hAPP(c_COMBC(_u2846, _u2845, _u2845), hAPP(hAPP(c_COMBS(_u2846, _u2845, tc_fun(_u2845, _u2845)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2845, tc_fun(_u2845, _u2845)), _u2846), c_If(_u2845)), hAPP(c_fequal, _u2848))), _u2849)), c_Groups_Ozero__class_Ozero(_u2845))), _u2847) = hAPP(_u2849, _u2848)) )).
% 43.36/43.55 cnf(fact_setsum__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2846), _u2847)) | hBOOL(hAPP(hAPP(c_member(_u2846), _u2848), _u2847)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2846, _u2845), hAPP(hAPP(c_COMBC(_u2846, _u2845, _u2845), hAPP(hAPP(c_COMBS(_u2846, _u2845, tc_fun(_u2845, _u2845)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2845, tc_fun(_u2845, _u2845)), _u2846), c_If(_u2845)), hAPP(c_fequal, _u2848))), _u2849)), c_Groups_Ozero__class_Ozero(_u2845))), _u2847) = c_Groups_Ozero__class_Ozero(_u2845)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__Diff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), _u2851)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2850, tc_HOL_Obool)), _u2851), _u2852))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__Int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2853, tc_HOL_Obool)), _u2854), _u2855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), _u2854)) )).
% 43.36/43.55 cnf(fact_finite__Int-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2853, tc_HOL_Obool)), _u2854), _u2855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), _u2855)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__imageI ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2856), _u2857)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2858), hAPP(c_Set_Oimage(_u2856, _u2858, _u2859), _u2857))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite_OinsertI ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite_OinsertI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2861)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), hAPP(hAPP(c_Set_Oinsert(_u2860), _u2862), _u2861))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite_OemptyI ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2863), c_Orderings_Obot__class_Obot(tc_fun(_u2863, tc_HOL_Obool)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__surj__inj ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2864), _u2865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2864, tc_HOL_Obool)), _u2865), hAPP(c_Set_Oimage(_u2864, _u2864, _u2866), _u2865))) | c_Fun_Oinj__on(_u2864, _u2864, _u2866, _u2865) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_endo__inj__surj ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_endo__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2867), _u2868)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2867, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2867, _u2867, _u2869), _u2868)), _u2868)) | ~c_Fun_Oinj__on(_u2867, _u2867, _u2869, _u2868) | ( hAPP(c_Set_Oimage(_u2867, _u2867, _u2869), _u2868) = _u2868) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__imageD ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__imageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2870), hAPP(c_Set_Oimage(_u2871, _u2870, _u2872), _u2873))) | ~c_Fun_Oinj__on(_u2871, _u2870, _u2872, _u2873) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2871), _u2873)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__Diff__insert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2878), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2878, tc_HOL_Obool)), _u2880), hAPP(hAPP(c_Set_Oinsert(_u2878), _u2882), _u2884)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2878), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2878, tc_HOL_Obool)), _u2880), _u2884))) )).
% 43.36/43.55 cnf(fact_finite__Diff__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2879), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2879, tc_HOL_Obool)), _u2881), _u2885))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2879), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2879, tc_HOL_Obool)), _u2881), hAPP(hAPP(c_Set_Oinsert(_u2879), _u2883), _u2885)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite-1, axiom, ( ~class_Finite__Set_Ofinite(_u2886) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2886), _u2887)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__code ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__code-1, axiom, ( ~class_Finite__Set_Ofinite(_u2888) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2888), _u2889)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite_Oequations_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2890), c_Orderings_Obot__class_Obot(tc_fun(_u2890, tc_HOL_Obool)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__insert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2894), hAPP(hAPP(c_Set_Oinsert(_u2894), _u2896), _u2898))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2894), _u2898)) )).
% 43.36/43.55 cnf(fact_finite__insert-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), _u2899)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), hAPP(hAPP(c_Set_Oinsert(_u2895), _u2897), _u2899))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__subset ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2900, tc_HOL_Obool)), _u2901), _u2902)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2900), _u2902)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2900), _u2901)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_rev__finite__subset ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_rev__finite__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2903), _u2904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2903, tc_HOL_Obool)), _u2905), _u2904)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2903), _u2905)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__UnI ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__UnI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2906), _u2907)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2906), _u2908)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2906), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2906, tc_HOL_Obool)), _u2907), _u2908))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__Un ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__Un-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2912), _u2914)) )).
% 43.36/43.55 cnf(fact_finite__Un-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2912), _u2916)) )).
% 43.36/43.55 cnf(fact_finite__Un-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2913), _u2915)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2913), _u2917)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2913), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2913, tc_HOL_Obool)), _u2915), _u2917))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__Diff2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__Diff2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), _u2919)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2918, tc_HOL_Obool)), _u2920), _u2919))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), _u2920)) )).
% 43.36/43.55 cnf(fact_finite__Diff2-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), _u2919)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), _u2920)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2918, tc_HOL_Obool)), _u2920), _u2919))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__Pow__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__Pow__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2923, tc_HOL_Obool)), hAPP(c_Set_OPow(_u2923), _u2925))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2923), _u2925)) )).
% 43.36/43.55 cnf(fact_finite__Pow__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2924), _u2926)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2924, tc_HOL_Obool)), hAPP(c_Set_OPow(_u2924), _u2926))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__surj ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2927), _u2928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2929, tc_HOL_Obool)), _u2930), hAPP(c_Set_Oimage(_u2927, _u2929, _u2931), _u2928))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2929), _u2930)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one_Oremove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2932, _u2933, _u2934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2932), _u2935)) | ~hBOOL(hAPP(hAPP(c_member(_u2932), _u2936), _u2935)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2932, tc_HOL_Obool)), _u2935), hAPP(hAPP(c_Set_Oinsert(_u2932), _u2936), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))) | ( hAPP(_u2934, _u2935) = _u2936) )).
% 43.36/43.55 cnf(fact_folding__one_Oremove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u2932, _u2933, _u2934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2932), _u2935)) | ~hBOOL(hAPP(hAPP(c_member(_u2932), _u2936), _u2935)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2932, tc_HOL_Obool)), _u2935), hAPP(hAPP(c_Set_Oinsert(_u2932), _u2936), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))) | ( hAPP(_u2934, _u2935) = hAPP(hAPP(_u2933, _u2936), hAPP(_u2934, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2932, tc_HOL_Obool)), _u2935), hAPP(hAPP(c_Set_Oinsert(_u2932), _u2936), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__image__simple_Oremove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__image__simple_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2938), _u2943)) | ~hBOOL(hAPP(hAPP(c_member(_u2938), _u2944), _u2943)) | ( hAPP(_u2942, _u2943) = hAPP(hAPP(_u2939, hAPP(_u2941, _u2944)), hAPP(_u2942, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2938, tc_HOL_Obool)), _u2943), hAPP(hAPP(c_Set_Oinsert(_u2938), _u2944), c_Orderings_Obot__class_Obot(tc_fun(_u2938, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u2937, _u2938, _u2939, _u2940, _u2941, _u2942) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__mono2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__mono2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2946) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2947), _u2948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2947, tc_HOL_Obool)), _u2949), _u2948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, _u2946), _u2950), _u2949)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, _u2946), _u2950), _u2948))) | hBOOL(hAPP(hAPP(c_member(_u2947), skolem55(_u2950, _u2949, _u2948, _u2947, _u2946)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2947, tc_HOL_Obool)), _u2948), _u2949))) )).
% 43.36/43.55 cnf(fact_setsum__mono2-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u2946) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2947), _u2948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2947, tc_HOL_Obool)), _u2949), _u2948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, _u2946), _u2950), _u2949)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, _u2946), _u2950), _u2948))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), c_Groups_Ozero__class_Ozero(_u2946)), hAPP(_u2950, skolem55(_u2950, _u2949, _u2948, _u2947, _u2946)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__mono3 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__mono3-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2952) | ~class_Groups_Oordered__ab__semigroup__add(_u2952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2953), _u2954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2953, tc_HOL_Obool)), _u2955), _u2954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2952), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2953, _u2952), _u2956), _u2955)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2953, _u2952), _u2956), _u2954))) | hBOOL(hAPP(hAPP(c_member(_u2953), skolem56(_u2956, _u2955, _u2954, _u2953, _u2952)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2953, tc_HOL_Obool)), _u2954), _u2955))) )).
% 43.36/43.55 cnf(fact_setsum__mono3-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u2952) | ~class_Groups_Oordered__ab__semigroup__add(_u2952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2953), _u2954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2953, tc_HOL_Obool)), _u2955), _u2954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2952), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2953, _u2952), _u2956), _u2955)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2953, _u2952), _u2956), _u2954))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2952), c_Groups_Ozero__class_Ozero(_u2952)), hAPP(_u2956, skolem56(_u2956, _u2955, _u2954, _u2953, _u2952)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2957, _u2958, _u2959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2957), _u2960)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2957), _u2961)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2957, tc_HOL_Obool)), _u2960), _u2961) = c_Orderings_Obot__class_Obot(tc_fun(_u2957, tc_HOL_Obool))) | ( hAPP(hAPP(_u2958, hAPP(_u2959, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2957, tc_HOL_Obool)), _u2960), _u2961))), hAPP(_u2959, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2957, tc_HOL_Obool)), _u2960), _u2961))) = hAPP(hAPP(_u2958, hAPP(_u2959, _u2960)), hAPP(_u2959, _u2961))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one_Ounion__disjoint ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one_Ounion__disjoint-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2962, _u2963, _u2964) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2962), _u2965)) | ( _u2965 = c_Orderings_Obot__class_Obot(tc_fun(_u2962, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2962), _u2966)) | ( _u2966 = c_Orderings_Obot__class_Obot(tc_fun(_u2962, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2962, tc_HOL_Obool)), _u2965), _u2966) != c_Orderings_Obot__class_Obot(tc_fun(_u2962, tc_HOL_Obool))) | ( hAPP(_u2964, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2962, tc_HOL_Obool)), _u2965), _u2966)) = hAPP(hAPP(_u2963, hAPP(_u2964, _u2965)), hAPP(_u2964, _u2966))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__image__simple_Ounion__disjoint ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__image__simple_Ounion__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2968), _u2973)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2968), _u2974)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2973), _u2974) != c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | ( hAPP(_u2972, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2968, tc_HOL_Obool)), _u2973), _u2974)) = hAPP(hAPP(_u2969, hAPP(_u2972, _u2973)), hAPP(_u2972, _u2974))) | ~c_Finite__Set_Ofolding__image__simple(_u2967, _u2968, _u2969, _u2970, _u2971, _u2972) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2975, _u2976, _u2977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2975), _u2978)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2975, tc_HOL_Obool)), _u2978), hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool))) | ( hAPP(_u2977, hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), _u2978)) = _u2979) )).
% 43.36/43.55 cnf(fact_folding__one_Oinsert__remove-2, axiom, ( ~c_Finite__Set_Ofolding__one(_u2975, _u2976, _u2977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2975), _u2978)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2975, tc_HOL_Obool)), _u2978), hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool))) | ( hAPP(_u2977, hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), _u2978)) = hAPP(hAPP(_u2976, _u2979), hAPP(_u2977, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2975, tc_HOL_Obool)), _u2978), hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__image__simple_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__image__simple_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2981), _u2986)) | ( hAPP(_u2985, hAPP(hAPP(c_Set_Oinsert(_u2981), _u2987), _u2986)) = hAPP(hAPP(_u2982, hAPP(_u2984, _u2987)), hAPP(_u2985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2981, tc_HOL_Obool)), _u2986), hAPP(hAPP(c_Set_Oinsert(_u2981), _u2987), c_Orderings_Obot__class_Obot(tc_fun(_u2981, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u2980, _u2981, _u2982, _u2983, _u2984, _u2985) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__image__simple_Oempty ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__image__simple_Oempty-1, axiom, ( ( hAPP(_u2993, c_Orderings_Obot__class_Obot(tc_fun(_u2989, tc_HOL_Obool))) = _u2991) | ~c_Finite__Set_Ofolding__image__simple(_u2988, _u2989, _u2990, _u2991, _u2992, _u2993) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one_Osingleton ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one_Osingleton-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u2994, _u2995, _u2996) | ( hAPP(_u2996, hAPP(hAPP(c_Set_Oinsert(_u2994), _u2997), c_Orderings_Obot__class_Obot(tc_fun(_u2994, tc_HOL_Obool)))) = _u2997) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__image__simple_Oinsert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__image__simple_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3004)) | hBOOL(hAPP(hAPP(c_member(_u2999), _u3005), _u3004)) | ( hAPP(_u3003, hAPP(hAPP(c_Set_Oinsert(_u2999), _u3005), _u3004)) = hAPP(hAPP(_u3000, hAPP(_u3002, _u3005)), hAPP(_u3003, _u3004))) | ~c_Finite__Set_Ofolding__image__simple(_u2998, _u2999, _u3000, _u3001, _u3002, _u3003) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__image__simple_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__image__simple_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3007), _u3012)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3007), _u3013)) | ( hAPP(hAPP(_u3008, hAPP(_u3011, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3007, tc_HOL_Obool)), _u3012), _u3013))), hAPP(_u3011, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3007, tc_HOL_Obool)), _u3012), _u3013))) = hAPP(hAPP(_u3008, hAPP(_u3011, _u3012)), hAPP(_u3011, _u3013))) | ~c_Finite__Set_Ofolding__image__simple(_u3006, _u3007, _u3008, _u3009, _u3010, _u3011) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one_Oinsert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u3014, _u3015, _u3016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3014), _u3017)) | hBOOL(hAPP(hAPP(c_member(_u3014), _u3018), _u3017)) | ( _u3017 = c_Orderings_Obot__class_Obot(tc_fun(_u3014, tc_HOL_Obool))) | ( hAPP(_u3016, hAPP(hAPP(c_Set_Oinsert(_u3014), _u3018), _u3017)) = hAPP(hAPP(_u3015, _u3018), hAPP(_u3016, _u3017))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_termination__basic__simps_I5_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_termination__basic__simps_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3019), _u3020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3019), _u3020)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Oremove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u3021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ~hBOOL(hAPP(hAPP(c_member(_u3021), _u3023), _u3022)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3021, tc_HOL_Obool)), _u3022), hAPP(hAPP(c_Set_Oinsert(_u3021), _u3023), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3021, _u3022) = _u3023) )).
% 43.36/43.55 cnf(fact_Inf__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u3021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ~hBOOL(hAPP(hAPP(c_member(_u3021), _u3023), _u3022)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3021, tc_HOL_Obool)), _u3022), hAPP(hAPP(c_Set_Oinsert(_u3021), _u3023), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3021, _u3022) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3021), _u3023), c_Big__Operators_Olattice__class_OInf__fin(_u3021, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3021, tc_HOL_Obool)), _u3022), hAPP(hAPP(c_Set_Oinsert(_u3021), _u3023), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Oremove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Oremove-1, axiom, ( ~class_Lattices_Olattice(_u3024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3024), _u3025)) | ~hBOOL(hAPP(hAPP(c_member(_u3024), _u3026), _u3025)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3024, tc_HOL_Obool)), _u3025), hAPP(hAPP(c_Set_Oinsert(_u3024), _u3026), c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3024, _u3025) = _u3026) )).
% 43.36/43.55 cnf(fact_Sup__fin_Oremove-2, axiom, ( ~class_Lattices_Olattice(_u3024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3024), _u3025)) | ~hBOOL(hAPP(hAPP(c_member(_u3024), _u3026), _u3025)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3024, tc_HOL_Obool)), _u3025), hAPP(hAPP(c_Set_Oinsert(_u3024), _u3026), c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3024, _u3025) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3024), _u3026), c_Big__Operators_Olattice__class_OSup__fin(_u3024, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3024, tc_HOL_Obool)), _u3025), hAPP(hAPP(c_Set_Oinsert(_u3024), _u3026), c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one_Oclosed ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one_Oclosed-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u3029, _u3030, _u3031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3029), _u3032)) | ( _u3032 = c_Orderings_Obot__class_Obot(tc_fun(_u3029, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3029), hAPP(hAPP(_u3030, skolem57(_u3032, _u3031, _u3030, _u3029)), skolem58(_u3032, _u3031, _u3030, _u3029))), hAPP(hAPP(c_Set_Oinsert(_u3029), skolem57(_u3032, _u3031, _u3030, _u3029)), hAPP(hAPP(c_Set_Oinsert(_u3029), skolem58(_u3032, _u3031, _u3030, _u3029)), c_Orderings_Obot__class_Obot(tc_fun(_u3029, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3029), hAPP(_u3031, _u3032)), _u3032)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__nonneg__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__nonneg__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3034) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3035), _u3036)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3035, _u3034), _u3037), _u3036) != c_Groups_Ozero__class_Ozero(_u3034)) | ~hBOOL(hAPP(hAPP(c_member(_u3035), _u3038), _u3036)) | ( hAPP(_u3037, _u3038) = c_Groups_Ozero__class_Ozero(_u3034)) | hBOOL(hAPP(hAPP(c_member(_u3035), skolem59(_u3038, _u3037, _u3036, _u3035, _u3034)), _u3036)) )).
% 43.36/43.55 cnf(fact_setsum__nonneg__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3034) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3035), _u3036)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3035, _u3034), _u3037), _u3036) != c_Groups_Ozero__class_Ozero(_u3034)) | ~hBOOL(hAPP(hAPP(c_member(_u3035), _u3038), _u3036)) | ( hAPP(_u3037, _u3038) = c_Groups_Ozero__class_Ozero(_u3034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3034), c_Groups_Ozero__class_Ozero(_u3034)), hAPP(_u3037, skolem59(_u3038, _u3037, _u3036, _u3035, _u3034)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__nonneg__leq__bound ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__nonneg__leq__bound-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3040) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3041), _u3042)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3041, _u3040), _u3043), _u3042) != _u3044) | ~hBOOL(hAPP(hAPP(c_member(_u3041), _u3045), _u3042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3040), hAPP(_u3043, _u3045)), _u3044)) | hBOOL(hAPP(hAPP(c_member(_u3041), skolem60(_u3045, _u3044, _u3043, _u3042, _u3041, _u3040)), _u3042)) )).
% 43.36/43.55 cnf(fact_setsum__nonneg__leq__bound-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u3040) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3041), _u3042)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3041, _u3040), _u3043), _u3042) != _u3044) | ~hBOOL(hAPP(hAPP(c_member(_u3041), _u3045), _u3042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3040), hAPP(_u3043, _u3045)), _u3044)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3040), c_Groups_Ozero__class_Ozero(_u3040)), hAPP(_u3043, skolem60(_u3045, _u3044, _u3043, _u3042, _u3041, _u3040)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__mono__zero__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__mono__zero__right-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3048), _u3049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3048, tc_HOL_Obool)), _u3050), _u3049)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3048, _u3047), _u3051), _u3049) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3048, _u3047), _u3051), _u3050)) | hBOOL(hAPP(hAPP(c_member(_u3048), skolem61(_u3051, _u3050, _u3049, _u3048, _u3047)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3048, tc_HOL_Obool)), _u3049), _u3050))) )).
% 43.36/43.55 cnf(fact_setsum__mono__zero__right-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3048), _u3049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3048, tc_HOL_Obool)), _u3050), _u3049)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3048, _u3047), _u3051), _u3049) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3048, _u3047), _u3051), _u3050)) | ( hAPP(_u3051, skolem61(_u3051, _u3050, _u3049, _u3048, _u3047)) != c_Groups_Ozero__class_Ozero(_u3047)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__mono__zero__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__mono__zero__left-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3054), _u3055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3054, tc_HOL_Obool)), _u3056), _u3055)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3054, _u3053), _u3057), _u3056) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3054, _u3053), _u3057), _u3055)) | hBOOL(hAPP(hAPP(c_member(_u3054), skolem62(_u3057, _u3056, _u3055, _u3054, _u3053)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3054, tc_HOL_Obool)), _u3055), _u3056))) )).
% 43.36/43.55 cnf(fact_setsum__mono__zero__left-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3054), _u3055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3054, tc_HOL_Obool)), _u3056), _u3055)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3054, _u3053), _u3057), _u3056) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3054, _u3053), _u3057), _u3055)) | ( hAPP(_u3057, skolem62(_u3057, _u3056, _u3055, _u3054, _u3053)) != c_Groups_Ozero__class_Ozero(_u3053)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__empty__induct ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__empty__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), _u3061)) | ~hBOOL(hAPP(_u3062, _u3061)) | hBOOL(hAPP(_u3062, c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), skolem64(_u3062, _u3061, _u3060))) )).
% 43.36/43.55 cnf(fact_finite__empty__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), _u3061)) | ~hBOOL(hAPP(_u3062, _u3061)) | hBOOL(hAPP(_u3062, c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u3060), skolem63(_u3062, _u3061, _u3060)), skolem64(_u3062, _u3061, _u3060))) )).
% 43.36/43.55 cnf(fact_finite__empty__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), _u3061)) | ~hBOOL(hAPP(_u3062, _u3061)) | hBOOL(hAPP(_u3062, c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))) | hBOOL(hAPP(_u3062, skolem64(_u3062, _u3061, _u3060))) )).
% 43.36/43.55 cnf(fact_finite__empty__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), _u3061)) | ~hBOOL(hAPP(_u3062, _u3061)) | hBOOL(hAPP(_u3062, c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u3062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3060, tc_HOL_Obool)), skolem64(_u3062, _u3061, _u3060)), hAPP(hAPP(c_Set_Oinsert(_u3060), skolem63(_u3062, _u3061, _u3060)), c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__le__Sup ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__le__Sup-1, axiom, ( ~class_Lattices_Olattice(_u3063) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3063), _u3064)) | ( _u3064 = c_Orderings_Obot__class_Obot(tc_fun(_u3063, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3063), c_Big__Operators_Olattice__class_OInf__fin(_u3063, _u3064)), c_Big__Operators_Olattice__class_OSup__fin(_u3063, _u3064))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Osingleton ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u3065) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3065, hAPP(hAPP(c_Set_Oinsert(_u3065), _u3066), c_Orderings_Obot__class_Obot(tc_fun(_u3065, tc_HOL_Obool)))) = _u3066) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Osingleton ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Osingleton-1, axiom, ( ~class_Lattices_Olattice(_u3067) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3067, hAPP(hAPP(c_Set_Oinsert(_u3067), _u3068), c_Orderings_Obot__class_Obot(tc_fun(_u3067, tc_HOL_Obool)))) = _u3068) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Oin__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u3069) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3069), _u3070)) | ~hBOOL(hAPP(hAPP(c_member(_u3069), _u3071), _u3070)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3069), _u3071), c_Big__Operators_Olattice__class_OSup__fin(_u3069, _u3070)) = c_Big__Operators_Olattice__class_OSup__fin(_u3069, _u3070)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_sup__Inf__absorb ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_sup__Inf__absorb-1, axiom, ( ~class_Lattices_Olattice(_u3072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3072), _u3073)) | ~hBOOL(hAPP(hAPP(c_member(_u3072), _u3074), _u3073)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3072), _u3074), c_Big__Operators_Olattice__class_OInf__fin(_u3072, _u3073)) = _u3074) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Oin__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Oin__idem-1, axiom, ( ~class_Lattices_Olattice(_u3075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3075), _u3076)) | ~hBOOL(hAPP(hAPP(c_member(_u3075), _u3077), _u3076)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3075), _u3077), c_Big__Operators_Olattice__class_OInf__fin(_u3075, _u3076)) = c_Big__Operators_Olattice__class_OInf__fin(_u3075, _u3076)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inf__Sup__absorb ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inf__Sup__absorb-1, axiom, ( ~class_Lattices_Olattice(_u3078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3078), _u3079)) | ~hBOOL(hAPP(hAPP(c_member(_u3078), _u3080), _u3079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3078), _u3080), c_Big__Operators_Olattice__class_OSup__fin(_u3078, _u3079)) = _u3080) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u3081) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3081), _u3082)) | ( _u3082 = c_Orderings_Obot__class_Obot(tc_fun(_u3081, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3081, hAPP(hAPP(c_Set_Oinsert(_u3081), _u3083), _u3082)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3081), _u3083), c_Big__Operators_Olattice__class_OSup__fin(_u3081, _u3082))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Oinsert__idem-1, axiom, ( ~class_Lattices_Olattice(_u3084) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3084), _u3085)) | ( _u3085 = c_Orderings_Obot__class_Obot(tc_fun(_u3084, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3084, hAPP(hAPP(c_Set_Oinsert(_u3084), _u3086), _u3085)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3084), _u3086), c_Big__Operators_Olattice__class_OInf__fin(_u3084, _u3085))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Osubset__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u3087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3087), _u3088)) | ( _u3089 = c_Orderings_Obot__class_Obot(tc_fun(_u3087, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3087, tc_HOL_Obool)), _u3089), _u3088)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3087), c_Big__Operators_Olattice__class_OSup__fin(_u3087, _u3089)), c_Big__Operators_Olattice__class_OSup__fin(_u3087, _u3088)) = c_Big__Operators_Olattice__class_OSup__fin(_u3087, _u3088)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Osubset__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Osubset__idem-1, axiom, ( ~class_Lattices_Olattice(_u3090) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3090), _u3091)) | ( _u3092 = c_Orderings_Obot__class_Obot(tc_fun(_u3090, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3090, tc_HOL_Obool)), _u3092), _u3091)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3090), c_Big__Operators_Olattice__class_OInf__fin(_u3090, _u3092)), c_Big__Operators_Olattice__class_OInf__fin(_u3090, _u3091)) = c_Big__Operators_Olattice__class_OInf__fin(_u3090, _u3091)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Ounion__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u3093) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3093), _u3094)) | ( _u3094 = c_Orderings_Obot__class_Obot(tc_fun(_u3093, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3093), _u3095)) | ( _u3095 = c_Orderings_Obot__class_Obot(tc_fun(_u3093, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3093, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3093, tc_HOL_Obool)), _u3094), _u3095)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3093), c_Big__Operators_Olattice__class_OSup__fin(_u3093, _u3094)), c_Big__Operators_Olattice__class_OSup__fin(_u3093, _u3095))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Ounion__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Ounion__idem-1, axiom, ( ~class_Lattices_Olattice(_u3096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3096), _u3097)) | ( _u3097 = c_Orderings_Obot__class_Obot(tc_fun(_u3096, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3096), _u3098)) | ( _u3098 = c_Orderings_Obot__class_Obot(tc_fun(_u3096, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3096, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3096, tc_HOL_Obool)), _u3097), _u3098)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3096), c_Big__Operators_Olattice__class_OInf__fin(_u3096, _u3097)), c_Big__Operators_Olattice__class_OInf__fin(_u3096, _u3098))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Oinsert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u3099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3099), _u3100)) | hBOOL(hAPP(hAPP(c_member(_u3099), _u3101), _u3100)) | ( _u3100 = c_Orderings_Obot__class_Obot(tc_fun(_u3099, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3099, hAPP(hAPP(c_Set_Oinsert(_u3099), _u3101), _u3100)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3099), _u3101), c_Big__Operators_Olattice__class_OSup__fin(_u3099, _u3100))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Oinsert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Oinsert-1, axiom, ( ~class_Lattices_Olattice(_u3102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3102), _u3103)) | hBOOL(hAPP(hAPP(c_member(_u3102), _u3104), _u3103)) | ( _u3103 = c_Orderings_Obot__class_Obot(tc_fun(_u3102, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3102, hAPP(hAPP(c_Set_Oinsert(_u3102), _u3104), _u3103)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3102), _u3104), c_Big__Operators_Olattice__class_OInf__fin(_u3102, _u3103))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u3105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3105), _u3106)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3105, tc_HOL_Obool)), _u3106), hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3105, hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), _u3106)) = _u3107) )).
% 43.36/43.55 cnf(fact_Sup__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u3105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3105), _u3106)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3105, tc_HOL_Obool)), _u3106), hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3105, hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), _u3106)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3105), _u3107), c_Big__Operators_Olattice__class_OSup__fin(_u3105, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3105, tc_HOL_Obool)), _u3106), hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Oinsert__remove-1, axiom, ( ~class_Lattices_Olattice(_u3108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3108), _u3109)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3108, tc_HOL_Obool)), _u3109), hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3108, hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), _u3109)) = _u3110) )).
% 43.36/43.55 cnf(fact_Inf__fin_Oinsert__remove-2, axiom, ( ~class_Lattices_Olattice(_u3108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3108), _u3109)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3108, tc_HOL_Obool)), _u3109), hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3108, hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), _u3109)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3108), _u3110), c_Big__Operators_Olattice__class_OInf__fin(_u3108, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3108, tc_HOL_Obool)), _u3109), hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u3111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3111), _u3112)) | ( _u3112 = c_Orderings_Obot__class_Obot(tc_fun(_u3111, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3111), _u3113)) | ( _u3113 = c_Orderings_Obot__class_Obot(tc_fun(_u3111, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3111, tc_HOL_Obool)), _u3112), _u3113) != c_Orderings_Obot__class_Obot(tc_fun(_u3111, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3111, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3111, tc_HOL_Obool)), _u3112), _u3113)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3111), c_Big__Operators_Olattice__class_OSup__fin(_u3111, _u3112)), c_Big__Operators_Olattice__class_OSup__fin(_u3111, _u3113))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u3114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3114), _u3115)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3114), _u3116)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3114, tc_HOL_Obool)), _u3115), _u3116) = c_Orderings_Obot__class_Obot(tc_fun(_u3114, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3114), c_Big__Operators_Olattice__class_OSup__fin(_u3114, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3114, tc_HOL_Obool)), _u3115), _u3116))), c_Big__Operators_Olattice__class_OSup__fin(_u3114, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3114, tc_HOL_Obool)), _u3115), _u3116))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3114), c_Big__Operators_Olattice__class_OSup__fin(_u3114, _u3115)), c_Big__Operators_Olattice__class_OSup__fin(_u3114, _u3116))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Ounion__disjoint-1, axiom, ( ~class_Lattices_Olattice(_u3117) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3117), _u3118)) | ( _u3118 = c_Orderings_Obot__class_Obot(tc_fun(_u3117, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3117), _u3119)) | ( _u3119 = c_Orderings_Obot__class_Obot(tc_fun(_u3117, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3117, tc_HOL_Obool)), _u3118), _u3119) != c_Orderings_Obot__class_Obot(tc_fun(_u3117, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3117, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3117, tc_HOL_Obool)), _u3118), _u3119)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3117), c_Big__Operators_Olattice__class_OInf__fin(_u3117, _u3118)), c_Big__Operators_Olattice__class_OInf__fin(_u3117, _u3119))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Ounion__inter-1, axiom, ( ~class_Lattices_Olattice(_u3120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3121)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3122)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122) = c_Orderings_Obot__class_Obot(tc_fun(_u3120, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3120), c_Big__Operators_Olattice__class_OInf__fin(_u3120, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122))), c_Big__Operators_Olattice__class_OInf__fin(_u3120, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3120), c_Big__Operators_Olattice__class_OInf__fin(_u3120, _u3121)), c_Big__Operators_Olattice__class_OInf__fin(_u3120, _u3122))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Oclosed ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u3125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3125), _u3126)) | ( _u3126 = c_Orderings_Obot__class_Obot(tc_fun(_u3125, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3125), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3125), skolem65(_u3126, _u3125)), skolem66(_u3126, _u3125))), hAPP(hAPP(c_Set_Oinsert(_u3125), skolem65(_u3126, _u3125)), hAPP(hAPP(c_Set_Oinsert(_u3125), skolem66(_u3126, _u3125)), c_Orderings_Obot__class_Obot(tc_fun(_u3125, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3125), c_Big__Operators_Olattice__class_OInf__fin(_u3125, _u3126)), _u3126)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Oclosed ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Oclosed-1, axiom, ( ~class_Lattices_Olattice(_u3129) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3129), _u3130)) | ( _u3130 = c_Orderings_Obot__class_Obot(tc_fun(_u3129, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3129), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3129), skolem67(_u3130, _u3129)), skolem68(_u3130, _u3129))), hAPP(hAPP(c_Set_Oinsert(_u3129), skolem67(_u3130, _u3129)), hAPP(hAPP(c_Set_Oinsert(_u3129), skolem68(_u3130, _u3129)), c_Orderings_Obot__class_Obot(tc_fun(_u3129, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3129), c_Big__Operators_Olattice__class_OSup__fin(_u3129, _u3130)), _u3130)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Inf__fin_Ohom__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Inf__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u3133) | ( hAPP(_u3134, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3133), skolem69(_u3135, _u3134, _u3133)), skolem70(_u3135, _u3134, _u3133))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3133), hAPP(_u3134, skolem69(_u3135, _u3134, _u3133))), hAPP(_u3134, skolem70(_u3135, _u3134, _u3133)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3133), _u3135)) | ( _u3135 = c_Orderings_Obot__class_Obot(tc_fun(_u3133, tc_HOL_Obool))) | ( hAPP(_u3134, c_Big__Operators_Olattice__class_OInf__fin(_u3133, _u3135)) = c_Big__Operators_Olattice__class_OInf__fin(_u3133, hAPP(c_Set_Oimage(_u3133, _u3133, _u3134), _u3135))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Sup__fin_Ohom__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Sup__fin_Ohom__commute-1, axiom, ( ~class_Lattices_Olattice(_u3138) | ( hAPP(_u3139, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3138), skolem71(_u3140, _u3139, _u3138)), skolem72(_u3140, _u3139, _u3138))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3138), hAPP(_u3139, skolem71(_u3140, _u3139, _u3138))), hAPP(_u3139, skolem72(_u3140, _u3139, _u3138)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3138), _u3140)) | ( _u3140 = c_Orderings_Obot__class_Obot(tc_fun(_u3138, tc_HOL_Obool))) | ( hAPP(_u3139, c_Big__Operators_Olattice__class_OSup__fin(_u3138, _u3140)) = c_Big__Operators_Olattice__class_OSup__fin(_u3138, hAPP(c_Set_Oimage(_u3138, _u3138, _u3139), _u3140))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one__idem_Ounion__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u3141, _u3142, _u3143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3141), _u3144)) | ( _u3144 = c_Orderings_Obot__class_Obot(tc_fun(_u3141, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3141), _u3145)) | ( _u3145 = c_Orderings_Obot__class_Obot(tc_fun(_u3141, tc_HOL_Obool))) | ( hAPP(_u3143, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3141, tc_HOL_Obool)), _u3144), _u3145)) = hAPP(hAPP(_u3142, hAPP(_u3143, _u3144)), hAPP(_u3143, _u3145))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__subset__induct ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__subset__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), skolem74(_u3151, _u3150, _u3149, _u3148))) )).
% 43.36/43.55 cnf(fact_finite__subset__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | hBOOL(hAPP(hAPP(c_member(_u3148), skolem73(_u3151, _u3150, _u3149, _u3148)), _u3150)) )).
% 43.36/43.55 cnf(fact_finite__subset__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | ~hBOOL(hAPP(hAPP(c_member(_u3148), skolem73(_u3151, _u3150, _u3149, _u3148)), skolem74(_u3151, _u3150, _u3149, _u3148))) )).
% 43.36/43.55 cnf(fact_finite__subset__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | hBOOL(hAPP(_u3151, skolem74(_u3151, _u3150, _u3149, _u3148))) )).
% 43.36/43.55 cnf(fact_finite__subset__induct-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Set_Oinsert(_u3148), skolem73(_u3151, _u3150, _u3149, _u3148)), skolem74(_u3151, _u3150, _u3149, _u3148)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one__idem_Osubset__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one__idem_Osubset__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u3152, _u3153, _u3154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3152), _u3155)) | ( _u3156 = c_Orderings_Obot__class_Obot(tc_fun(_u3152, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3152, tc_HOL_Obool)), _u3156), _u3155)) | ( hAPP(hAPP(_u3153, hAPP(_u3154, _u3156)), hAPP(_u3154, _u3155)) = hAPP(_u3154, _u3155)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__strict__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__strict__mono-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3158) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3158) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3159), _u3160)) | ( _u3160 = c_Orderings_Obot__class_Obot(tc_fun(_u3159, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3158), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3159, _u3158), _u3161), _u3160)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3159, _u3158), _u3162), _u3160))) | hBOOL(hAPP(hAPP(c_member(_u3159), skolem75(_u3162, _u3161, _u3160, _u3159, _u3158)), _u3160)) )).
% 43.36/43.55 cnf(fact_setsum__strict__mono-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3158) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3158) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3159), _u3160)) | ( _u3160 = c_Orderings_Obot__class_Obot(tc_fun(_u3159, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3158), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3159, _u3158), _u3161), _u3160)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3159, _u3158), _u3162), _u3160))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3158), hAPP(_u3161, skolem75(_u3162, _u3161, _u3160, _u3159, _u3158))), hAPP(_u3162, skolem75(_u3162, _u3161, _u3160, _u3159, _u3158)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one__idem_Oinsert__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u3163, _u3164, _u3165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3163), _u3166)) | ( _u3166 = c_Orderings_Obot__class_Obot(tc_fun(_u3163, tc_HOL_Obool))) | ( hAPP(_u3165, hAPP(hAPP(c_Set_Oinsert(_u3163), _u3167), _u3166)) = hAPP(hAPP(_u3164, _u3167), hAPP(_u3165, _u3166))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one__idem_Oidem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u3169, _u3171), _u3171) = _u3171) | ~c_Finite__Set_Ofolding__one__idem(_u3168, _u3169, _u3170) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one__idem_Oin__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one__idem_Oin__idem-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u3172, _u3173, _u3174) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3172), _u3175)) | ~hBOOL(hAPP(hAPP(c_member(_u3172), _u3176), _u3175)) | ( hAPP(hAPP(_u3173, _u3176), hAPP(_u3174, _u3175)) = hAPP(_u3174, _u3175)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum_Oremove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3177) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3178), _u3179)) | ~hBOOL(hAPP(hAPP(c_member(_u3178), _u3180), _u3179)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3178, _u3177), _u3181), _u3179) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3177), hAPP(_u3181, _u3180)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3178, _u3177), _u3181), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3178, tc_HOL_Obool)), _u3179), hAPP(hAPP(c_Set_Oinsert(_u3178), _u3180), c_Orderings_Obot__class_Obot(tc_fun(_u3178, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__diff1_H ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__diff1_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3182) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3183), _u3184)) | ~hBOOL(hAPP(hAPP(c_member(_u3183), _u3185), _u3184)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3183, _u3182), _u3186), _u3184) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3182), hAPP(_u3186, _u3185)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3183, _u3182), _u3186), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3183, tc_HOL_Obool)), _u3184), hAPP(hAPP(c_Set_Oinsert(_u3183), _u3185), c_Orderings_Obot__class_Obot(tc_fun(_u3183, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_image__eq__fold__image ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_image__eq__fold__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3187), _u3188)) | ( hAPP(c_Set_Oimage(_u3187, _u3189, _u3190), _u3188) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u3189, tc_HOL_Obool), _u3187, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3189, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3187, tc_fun(_u3189, tc_HOL_Obool), tc_fun(_u3189, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u3189, tc_fun(tc_fun(_u3189, tc_HOL_Obool), tc_fun(_u3189, tc_HOL_Obool)), _u3187), c_Set_Oinsert(_u3189)), _u3190)), c_Orderings_Obot__class_Obot(tc_fun(_u3189, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u3189, tc_HOL_Obool))), _u3188)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Diff2__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Diff2__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3191), _u3192)) | ~hBOOL(hAPP(hAPP(c_member(_u3191), _u3193), _u3192)) | ~hBOOL(hAPP(hAPP(c_member(_u3191), _u3194), _u3192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3191), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3191, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3191, tc_HOL_Obool)), _u3192), hAPP(hAPP(c_Set_Oinsert(_u3191), _u3193), c_Orderings_Obot__class_Obot(tc_fun(_u3191, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u3191), _u3194), c_Orderings_Obot__class_Obot(tc_fun(_u3191, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3191), _u3192))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Diff1__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Diff1__less-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3195), _u3196)) | ~hBOOL(hAPP(hAPP(c_member(_u3195), _u3197), _u3196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3195), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3195, tc_HOL_Obool)), _u3196), hAPP(hAPP(c_Set_Oinsert(_u3195), _u3197), c_Orderings_Obot__class_Obot(tc_fun(_u3195, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3195), _u3196))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Suc__Diff1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Suc__Diff1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3198), _u3199)) | ~hBOOL(hAPP(hAPP(c_member(_u3198), _u3200), _u3199)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3198, tc_HOL_Obool)), _u3199), hAPP(hAPP(c_Set_Oinsert(_u3198), _u3200), c_Orderings_Obot__class_Obot(tc_fun(_u3198, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u3198), _u3199)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__one__idem_Ohom__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__one__idem_Ohom__commute-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u3203, _u3204, _u3205) | ( hAPP(_u3206, hAPP(hAPP(_u3204, skolem76(_u3207, _u3206, _u3205, _u3204, _u3203)), skolem77(_u3207, _u3206, _u3205, _u3204, _u3203))) != hAPP(hAPP(_u3204, hAPP(_u3206, skolem76(_u3207, _u3206, _u3205, _u3204, _u3203))), hAPP(_u3206, skolem77(_u3207, _u3206, _u3205, _u3204, _u3203)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3203), _u3207)) | ( _u3207 = c_Orderings_Obot__class_Obot(tc_fun(_u3203, tc_HOL_Obool))) | ( hAPP(_u3206, hAPP(_u3205, _u3207)) = hAPP(_u3205, hAPP(c_Set_Oimage(_u3203, _u3203, _u3206), _u3207))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fun__left__comm__idem__remove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fun__left__comm__idem__remove-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u3208, tc_fun(_u3208, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u3208, tc_HOL_Obool), tc_fun(tc_fun(_u3208, tc_HOL_Obool), tc_fun(_u3208, tc_HOL_Obool)), _u3208), hAPP(c_COMBC(tc_fun(_u3208, tc_HOL_Obool), tc_fun(_u3208, tc_HOL_Obool), tc_fun(_u3208, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u3208, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u3208, tc_fun(_u3208, tc_HOL_Obool), tc_fun(_u3208, tc_HOL_Obool)), c_Set_Oinsert(_u3208)), c_Orderings_Obot__class_Obot(tc_fun(_u3208, tc_HOL_Obool))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__image__simple_Ounion__inter__neutral ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__image__simple_Ounion__inter__neutral-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u3210, _u3211, _u3212, _u3213, _u3214, _u3215) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3211), _u3216)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3211), _u3217)) | ( hAPP(_u3215, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3211, tc_HOL_Obool)), _u3216), _u3217)) = hAPP(hAPP(_u3212, hAPP(_u3215, _u3216)), hAPP(_u3215, _u3217))) | hBOOL(hAPP(hAPP(c_member(_u3211), skolem78(_u3217, _u3216, _u3215, _u3214, _u3213, _u3212, _u3211)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3211, tc_HOL_Obool)), _u3216), _u3217))) )).
% 43.36/43.55 cnf(fact_folding__image__simple_Ounion__inter__neutral-2, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u3210, _u3211, _u3212, _u3213, _u3214, _u3215) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3211), _u3216)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3211), _u3217)) | ( hAPP(_u3215, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3211, tc_HOL_Obool)), _u3216), _u3217)) = hAPP(hAPP(_u3212, hAPP(_u3215, _u3216)), hAPP(_u3215, _u3217))) | ( hAPP(_u3214, skolem78(_u3217, _u3216, _u3215, _u3214, _u3213, _u3212, _u3211)) != _u3213) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__right__imp__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__right__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3218) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3218), _u3219), _u3220) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3218), _u3221), _u3220)) | ( _u3219 = _u3221) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__imp__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__imp__eq-1, axiom, ( ~class_Groups_Ocancel__ab__semigroup__add(_u3222) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3222), _u3223), _u3224) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3222), _u3223), _u3225)) | ( _u3224 = _u3225) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__left__imp__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__left__imp__eq-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3226) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3226), _u3227), _u3228) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3226), _u3227), _u3229)) | ( _u3228 = _u3229) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__right__cancel ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__right__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3230) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3230), _u3231), _u3232) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3230), _u3233), _u3232)) | ( _u3231 = _u3233) )).
% 43.36/43.55 cnf(fact_add__right__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3230) | ( _u3231 != _u3233) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3230), _u3231), _u3232) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3230), _u3233), _u3232)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__left__cancel ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__left__cancel-1, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3234) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3234), _u3235), _u3236) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3234), _u3235), _u3237)) | ( _u3236 = _u3237) )).
% 43.36/43.55 cnf(fact_add__left__cancel-2, axiom, ( ~class_Groups_Ocancel__semigroup__add(_u3234) | ( _u3236 != _u3237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3234), _u3235), _u3236) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3234), _u3235), _u3237)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ab__semigroup__add__class_Oadd__ac_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ab__semigroup__add__class_Oadd__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u3238) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3238), _u3239), _u3240)), _u3241) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3238), _u3239), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3238), _u3240), _u3241))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fun__left__comm__idem_Ofun__left__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fun__left__comm__idem_Ofun__left__idem-1, axiom, ( ( hAPP(hAPP(_u3244, _u3245), hAPP(hAPP(_u3244, _u3245), _u3246)) = hAPP(hAPP(_u3244, _u3245), _u3246)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3242, _u3243, _u3244) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fun__left__comm__idem_Ofun__left__comm__idem__apply ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3247, _u3248, _u3249) | c_Finite__Set_Ofun__left__comm__idem(_u3250, _u3248, hAPP(hAPP(c_COMBB(_u3247, tc_fun(_u3248, _u3248), _u3250), _u3249), _u3251)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__le__imp__le__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__le__imp__le__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3252), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3252), _u3253), _u3254)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3252), _u3253), _u3255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3252), _u3254), _u3255)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__le__imp__le__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__le__imp__le__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3256), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3256), _u3257), _u3258)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3256), _u3259), _u3258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3256), _u3257), _u3259)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u3260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3260), _u3261), _u3262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3260), _u3263), _u3264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3260), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3260), _u3261), _u3263)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3260), _u3262), _u3264))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__left__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__left__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u3265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), _u3266), _u3267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3265), _u3268), _u3266)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3265), _u3268), _u3267))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__right__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__right__mono-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u3269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3269), _u3270), _u3271)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3269), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3269), _u3270), _u3272)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3269), _u3271), _u3272))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__le__cancel__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__le__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3273), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3273), _u3274), _u3275)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3273), _u3274), _u3276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3273), _u3275), _u3276)) )).
% 43.36/43.55 cnf(fact_add__le__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3273), _u3275), _u3276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3273), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3273), _u3274), _u3275)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3273), _u3274), _u3276))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__le__cancel__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__le__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3277), _u3278), _u3279)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3277), _u3280), _u3279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), _u3278), _u3280)) )).
% 43.36/43.55 cnf(fact_add__le__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), _u3278), _u3280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3277), _u3278), _u3279)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3277), _u3280), _u3279))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__0__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__0__left-1, axiom, ( ~class_Groups_Omonoid__add(_u3281) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3281), c_Groups_Ozero__class_Ozero(_u3281)), _u3282) = _u3282) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__0-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3284) = _u3284) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_double__zero__sym ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_double__zero__sym-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3285) | ( c_Groups_Ozero__class_Ozero(_u3285) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3285), _u3286), _u3286)) | ( _u3286 = c_Groups_Ozero__class_Ozero(_u3285)) )).
% 43.36/43.55 cnf(fact_double__zero__sym-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3285) | ( _u3286 != c_Groups_Ozero__class_Ozero(_u3285)) | ( c_Groups_Ozero__class_Ozero(_u3285) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3285), _u3286), _u3286)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__0__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__0__right-1, axiom, ( ~class_Groups_Omonoid__add(_u3287) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3287), _u3288), c_Groups_Ozero__class_Ozero(_u3287)) = _u3288) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add_Ocomm__neutral ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3289) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3289), _u3290), c_Groups_Ozero__class_Ozero(_u3289)) = _u3290) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__less__imp__less__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__less__imp__less__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3291), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3292), _u3293)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3292), _u3294))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3291), _u3293), _u3294)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__less__imp__less__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__less__imp__less__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3297)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3298), _u3297))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), _u3296), _u3298)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__strict__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__strict__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3299), _u3300), _u3301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3299), _u3302), _u3303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3299), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3300), _u3302)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3301), _u3303))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__strict__left__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__strict__left__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3305), _u3306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3304), _u3307), _u3305)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3304), _u3307), _u3306))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__strict__right__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__strict__right__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3309), _u3310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3308), _u3309), _u3311)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3308), _u3310), _u3311))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__less__cancel__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__less__cancel__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3312), _u3313), _u3314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3312), _u3313), _u3315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3315)) )).
% 43.36/43.55 cnf(fact_add__less__cancel__left-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3312), _u3313), _u3314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3312), _u3313), _u3315))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__less__cancel__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__less__cancel__right-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3316), _u3317), _u3318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3316), _u3319), _u3318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), _u3317), _u3319)) )).
% 43.36/43.55 cnf(fact_add__less__cancel__right-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), _u3317), _u3319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3316), _u3317), _u3318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3316), _u3319), _u3318))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__add__cancel ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3320) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3320), _u3321), _u3322)), _u3322) = _u3321) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__diff__cancel ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__diff__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u3323) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3323), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3323), _u3324), _u3325)), _u3325) = _u3324) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__eq__self__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__eq__self__zero-1, axiom, ( ( _u3327 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3326), _u3327) != _u3326) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__is__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3330), _u3332) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3330 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_add__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3330), _u3332) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3332 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_add__is__0-3, axiom, ( ( _u3331 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3333 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3331), _u3333) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Nat_Oadd__0__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Nat_Oadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3334), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3334) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_plus__nat_Oadd__0 ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u3335) = _u3335) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__Suc__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3336), hAPP(c_Nat_OSuc, _u3337)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3336), _u3337))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__Suc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3338)), _u3339) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3338), _u3339))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__Suc__shift ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__Suc__shift-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3340)), _u3341) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3340), hAPP(c_Nat_OSuc, _u3341))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_termination__basic__simps_I2_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_termination__basic__simps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3342), _u3343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3342), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3344), _u3343))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_termination__basic__simps_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_termination__basic__simps_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3345), _u3346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3345), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3346), _u3347))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__lessD1 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3348), _u3349)), _u3350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3348), _u3350)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__add__eq__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__add__eq__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3351), _u3352)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3353), _u3352) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3351), _u3354)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3353), _u3354)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__less__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__less__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3355), _u3356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3357), _u3358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3355), _u3357)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3356), _u3358))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__less__mono1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3359), _u3360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3359), _u3361)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3360), _u3361))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_trans__less__add2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_trans__less__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3362), _u3363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3364), _u3363))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_trans__less__add1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_trans__less__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3365), _u3366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3366), _u3367))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__add__left__cancel__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__add__left__cancel__less-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3373), _u3375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3371), _u3373)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3371), _u3375))) )).
% 43.36/43.55 cnf(fact_nat__add__left__cancel__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3374), _u3376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3372), _u3374)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3372), _u3376))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_not__add__less2 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3377), _u3378)), _u3378)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_not__add__less1 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3379), _u3380)), _u3379)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_termination__basic__simps_I3_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_termination__basic__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3381), _u3382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3381), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3382), _u3383))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_termination__basic__simps_I4_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_termination__basic__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3384), _u3385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3384), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3386), _u3385))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__leE ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3387), _u3388)), _u3389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3387), _u3389)) )).
% 43.36/43.55 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), _u3387), _u3388)), _u3389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3388), _u3389)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__leD1 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3390), _u3391)), _u3392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3390), _u3392)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__leD2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__leD2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3394), _u3395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3393), _u3394)), _u3395)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__le__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3396), _u3397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3398), _u3399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3396), _u3398)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3397), _u3399))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__le__mono1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3400), _u3401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3400), _u3402)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3401), _u3402))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_trans__le__add2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_trans__le__add2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3403), _u3404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3403), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3405), _u3404))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_trans__le__add1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_trans__le__add1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3406), _u3407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3406), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3407), _u3408))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__add__left__cancel__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__add__left__cancel__le-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3414), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3412), _u3414)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3412), _u3416))) )).
% 43.36/43.55 cnf(fact_nat__add__left__cancel__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3415), _u3417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3413), _u3415)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3413), _u3417))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__iff__add ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__iff__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3422), _u3424)) | ( _u3424 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3422), skolem79(_u3424, _u3422))) )).
% 43.36/43.55 cnf(fact_le__iff__add-2, axiom, ( ( _u3425 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3423), _u3419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3423), _u3425)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__add1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__add1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3426), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3426), _u3427))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__add2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__add2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3428), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3429), _u3428))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__cancel2 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3430), _u3431)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3432), _u3431)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3430), _u3432)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__cancel ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3433), _u3434)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3433), _u3435)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3434), _u3435)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__diff__left ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3436), _u3437)), _u3438) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3436), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3437), _u3438))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__add__inverse ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3439), _u3440)), _u3439) = _u3440) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__add__inverse2 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3441), _u3442)), _u3442) = _u3441) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__image__empty ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__image__empty-1, axiom, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3443, _u3444, _u3445), _u3446), _u3447), c_Orderings_Obot__class_Obot(tc_fun(_u3444, tc_HOL_Obool))) = _u3447) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Un__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Un__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3448), _u3449)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3448), _u3450)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3448), _u3449)), hAPP(c_Finite__Set_Ocard(_u3448), _u3450)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3448), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3448, tc_HOL_Obool)), _u3449), _u3450))), hAPP(c_Finite__Set_Ocard(_u3448), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3448, tc_HOL_Obool)), _u3449), _u3450)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card_Ounion__inter-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3451), _u3452)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3451), _u3453)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3451), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3451, tc_HOL_Obool)), _u3452), _u3453))), hAPP(c_Finite__Set_Ocard(_u3451), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3451, tc_HOL_Obool)), _u3452), _u3453))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3451), _u3452)), hAPP(c_Finite__Set_Ocard(_u3451), _u3453))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum_Oeq__fold ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3454) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3455), _u3456)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3455, _u3454), _u3457), _u3456) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3454, _u3455, c_Groups_Oplus__class_Oplus(_u3454)), _u3457), c_Groups_Ozero__class_Ozero(_u3454)), _u3456)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum_OF__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3458) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3459), _u3460)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3459, _u3458), _u3461), _u3460) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3458, _u3459, c_Groups_Oplus__class_Oplus(_u3458)), _u3461), c_Groups_Ozero__class_Ozero(_u3458)), _u3460)) )).
% 43.36/43.55 cnf(fact_setsum_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3458) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3459), _u3460)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3459, _u3458), _u3461), _u3460) = c_Groups_Ozero__class_Ozero(_u3458)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__addf ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3462) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3463, _u3462), hAPP(hAPP(c_COMBS(_u3463, _u3462, _u3462), hAPP(hAPP(c_COMBB(_u3462, tc_fun(_u3462, _u3462), _u3463), c_Groups_Oplus__class_Oplus(_u3462)), _u3464)), _u3465)), _u3466) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3462), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3463, _u3462), _u3464), _u3466)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3463, _u3462), _u3465), _u3466))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Un__disjoint ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Un__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3467), _u3468)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3467), _u3469)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3467, tc_HOL_Obool)), _u3468), _u3469) != c_Orderings_Obot__class_Obot(tc_fun(_u3467, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u3467), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3467, tc_HOL_Obool)), _u3468), _u3469)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3467), _u3468)), hAPP(c_Finite__Set_Ocard(_u3467), _u3469))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fun__left__comm__idem__insert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fun__left__comm__idem__insert-1, axiom, ( c_Finite__Set_Ofun__left__comm__idem(_u3470, tc_fun(_u3470, tc_HOL_Obool), c_Set_Oinsert(_u3470)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card_Oempty ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card_Oempty-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3471), c_Orderings_Obot__class_Obot(tc_fun(_u3471, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__infinite ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3472), _u3473)) | ( hAPP(c_Finite__Set_Ocard(_u3472), _u3473) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__le__double__add__iff__zero__le__single__add ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__le__double__add__iff__zero__le__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3474), c_Groups_Ozero__class_Ozero(_u3474)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3474), _u3475), _u3475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3474), c_Groups_Ozero__class_Ozero(_u3474)), _u3475)) )).
% 43.36/43.55 cnf(fact_zero__le__double__add__iff__zero__le__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3474), c_Groups_Ozero__class_Ozero(_u3474)), _u3475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3474), c_Groups_Ozero__class_Ozero(_u3474)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3474), _u3475), _u3475))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_double__add__le__zero__iff__single__add__le__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_double__add__le__zero__iff__single__add__le__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3476), _u3477), _u3477)), c_Groups_Ozero__class_Ozero(_u3476))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3476), _u3477), c_Groups_Ozero__class_Ozero(_u3476))) )).
% 43.36/43.55 cnf(fact_double__add__le__zero__iff__single__add__le__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3476), _u3477), c_Groups_Ozero__class_Ozero(_u3476))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3476), _u3477), _u3477)), c_Groups_Ozero__class_Ozero(_u3476))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__nonneg__nonneg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__nonneg__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3478), c_Groups_Ozero__class_Ozero(_u3478)), _u3479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3478), c_Groups_Ozero__class_Ozero(_u3478)), _u3480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3478), c_Groups_Ozero__class_Ozero(_u3478)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3478), _u3479), _u3480))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__nonneg__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__nonneg__eq__0__iff-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), _u3482), _u3483) != c_Groups_Ozero__class_Ozero(_u3481)) | ( _u3482 = c_Groups_Ozero__class_Ozero(_u3481)) )).
% 43.36/43.55 cnf(fact_add__nonneg__eq__0__iff-2, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), _u3482), _u3483) != c_Groups_Ozero__class_Ozero(_u3481)) | ( _u3483 = c_Groups_Ozero__class_Ozero(_u3481)) )).
% 43.36/43.55 cnf(fact_add__nonneg__eq__0__iff-3, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3483)) | ( _u3482 != c_Groups_Ozero__class_Ozero(_u3481)) | ( _u3483 != c_Groups_Ozero__class_Ozero(_u3481)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), _u3482), _u3483) = c_Groups_Ozero__class_Ozero(_u3481)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__increasing ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3484), c_Groups_Ozero__class_Ozero(_u3484)), _u3485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3484), _u3486), _u3487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3484), _u3486), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3484), _u3485), _u3487))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__increasing2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3488), c_Groups_Ozero__class_Ozero(_u3488)), _u3489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3488), _u3490), _u3491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3488), _u3490), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3488), _u3491), _u3489))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__nonpos__nonpos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__nonpos__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3492), _u3493), c_Groups_Ozero__class_Ozero(_u3492))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3492), _u3494), c_Groups_Ozero__class_Ozero(_u3492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3492), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3492), _u3493), _u3494)), c_Groups_Ozero__class_Ozero(_u3492))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__less__le__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__less__le__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3495) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3495), _u3496), _u3497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3495), _u3498), _u3499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3495), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3495), _u3496), _u3498)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3495), _u3497), _u3499))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__le__less__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__le__less__mono-1, axiom, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3500) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3500), _u3501), _u3502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3500), _u3503), _u3504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3500), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3500), _u3501), _u3503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3500), _u3502), _u3504))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__less__double__add__iff__zero__less__single__add ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__less__double__add__iff__zero__less__single__add-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3505), c_Groups_Ozero__class_Ozero(_u3505)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3505), _u3506), _u3506))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3505), c_Groups_Ozero__class_Ozero(_u3505)), _u3506)) )).
% 43.36/43.55 cnf(fact_zero__less__double__add__iff__zero__less__single__add-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3505), c_Groups_Ozero__class_Ozero(_u3505)), _u3506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3505), c_Groups_Ozero__class_Ozero(_u3505)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3505), _u3506), _u3506))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_double__add__less__zero__iff__single__add__less__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_double__add__less__zero__iff__single__add__less__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3507), _u3508), _u3508)), c_Groups_Ozero__class_Ozero(_u3507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3508), c_Groups_Ozero__class_Ozero(_u3507))) )).
% 43.36/43.55 cnf(fact_double__add__less__zero__iff__single__add__less__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3508), c_Groups_Ozero__class_Ozero(_u3507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3507), _u3508), _u3508)), c_Groups_Ozero__class_Ozero(_u3507))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__pos__pos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__pos__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3509), c_Groups_Ozero__class_Ozero(_u3509)), _u3510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3509), c_Groups_Ozero__class_Ozero(_u3509)), _u3511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3509), c_Groups_Ozero__class_Ozero(_u3509)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3509), _u3510), _u3511))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__neg__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__neg__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3512), _u3513), c_Groups_Ozero__class_Ozero(_u3512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3512), _u3514), c_Groups_Ozero__class_Ozero(_u3512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3512), _u3513), _u3514)), c_Groups_Ozero__class_Ozero(_u3512))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fun__left__comm__idem__sup ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fun__left__comm__idem__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u3515) | c_Finite__Set_Ofun__left__comm__idem(_u3515, _u3515, c_Lattices_Osemilattice__sup__class_Osup(_u3515)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fun__left__comm__idem__inf ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fun__left__comm__idem__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u3516) | c_Finite__Set_Ofun__left__comm__idem(_u3516, _u3516, c_Lattices_Osemilattice__inf__class_Oinf(_u3516)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__image ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__image-1, axiom, ( ~c_Fun_Oinj__on(_u3517, _u3518, _u3519, _u3520) | ( hAPP(c_Finite__Set_Ocard(_u3518), hAPP(c_Set_Oimage(_u3517, _u3518, _u3519), _u3520)) = hAPP(c_Finite__Set_Ocard(_u3517), _u3520)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__is__1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__is__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3523), _u3525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3523 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3523 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_add__is__1-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3523), _u3525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3523 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55 cnf(fact_add__is__1-3, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3523), _u3525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3523 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_add__is__1-4, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3523), _u3525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55 cnf(fact_add__is__1-5, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3524), _u3526) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3524 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3526 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_add__is__1-6, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3524), _u3526) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3524 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3526 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_one__is__add ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3529), _u3531)) | ( _u3529 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 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), _u3529), _u3531)) | ( _u3529 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3531 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55 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), _u3529), _u3531)) | ( _u3531 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 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), _u3529), _u3531)) | ( _u3531 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3531 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55 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), _u3530), _u3532)) | ( _u3530 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3532 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 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), _u3530), _u3532)) | ( _u3530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3532 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__gr__0 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3535), _u3537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3537)) )).
% 43.36/43.55 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), _u3536), _u3538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3536)) )).
% 43.36/43.55 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), _u3536), _u3538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3538)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__iff__Suc__add ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__iff__Suc__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3543), _u3545)) | ( _u3545 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3543), skolem80(_u3545, _u3543)))) )).
% 43.36/43.55 cnf(fact_less__iff__Suc__add-2, axiom, ( ( _u3546 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3544), _u3540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3544), _u3546)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__add__Suc2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__add__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3547), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3548), _u3547)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__add__Suc1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__add__Suc1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3549), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3549), _u3550)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__add__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__add__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3551), _u3552)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__diff__inverse ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__diff__inverse-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3553), _u3554)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3554), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3554)) = _u3553) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__diff__conv ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__diff__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3558), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3560), _u3562))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3558), _u3562)), _u3560)) )).
% 43.36/43.55 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), _u3559), _u3563)), _u3561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3559), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3561), _u3563))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__add__assoc2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__add__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3564), _u3565)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3565), _u3566)), _u3564) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3565), _u3564)), _u3566)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__diff__assoc2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__diff__assoc2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3567), _u3568)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3568), _u3567)), _u3569) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3568), _u3569)), _u3567)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__add__assoc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__add__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3570), _u3571)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3572), _u3571)), _u3570) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3572), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3571), _u3570))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__imp__diff__is__add ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__imp__diff__is__add-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3573), _u3574)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3574), _u3573) != _u3575) | ( _u3574 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3575), _u3573)) )).
% 43.36/43.55 cnf(fact_le__imp__diff__is__add-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3573), _u3574)) | ( _u3574 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3575), _u3573)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3574), _u3573) = _u3575) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__add__diff__inverse2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__add__diff__inverse2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3576), _u3577)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3577), _u3576)), _u3576) = _u3577) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__diff__conv2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__diff__conv2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3578), _u3579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3580), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3579), _u3578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3580), _u3578)), _u3579)) )).
% 43.36/43.55 cnf(fact_le__diff__conv2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3578), _u3579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3580), _u3578)), _u3579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3580), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3579), _u3578))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__diff__assoc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__diff__assoc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3581), _u3582)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3583), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3582), _u3581)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3583), _u3582)), _u3581)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__add__diff__inverse ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__add__diff__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3584), _u3585)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3585), _u3584)) = _u3585) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__add__diff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__add__diff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3586), _u3587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3588), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3587), _u3588)), _u3586))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__diff__conv ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3592), _u3594)), _u3596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3596), _u3594))) )).
% 43.36/43.55 cnf(fact_le__diff__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3597), _u3595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3593), _u3595)), _u3597)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__diff__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__diff__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3598), _u3599)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3600), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3598)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3600), _u3598)), _u3599)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__add__nat ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u3601), _u3602) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum_Odistrib ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3604), _u3605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3604, _u3603), hAPP(hAPP(c_COMBS(_u3604, _u3603, _u3603), hAPP(hAPP(c_COMBB(_u3603, tc_fun(_u3603, _u3603), _u3604), c_Groups_Oplus__class_Oplus(_u3603)), _u3606)), _u3607)), _u3605) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3603), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3604, _u3603), _u3606), _u3605)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3604, _u3603), _u3607), _u3605))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_folding__image__simple_Oeq__fold__g ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_folding__image__simple_Oeq__fold__g-1, axiom, ( ~c_Finite__Set_Ofolding__image__simple(_u3608, _u3609, _u3610, _u3611, _u3612, _u3613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3609), _u3614)) | ( hAPP(_u3613, _u3614) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3608, _u3609, _u3610), _u3612), _u3611), _u3614)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__eq__0__iff-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3617), _u3619) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3619 = c_Orderings_Obot__class_Obot(tc_fun(_u3617, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3617), _u3619)) )).
% 43.36/43.55 cnf(fact_card__eq__0__iff-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3618), _u3620) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3620 != c_Orderings_Obot__class_Obot(tc_fun(_u3618, tc_HOL_Obool))) )).
% 43.36/43.55 cnf(fact_card__eq__0__iff-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3618), _u3620) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3618), _u3620)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__ge__0__finite ( axiom ) converted to clauses:
% 43.36/43.55 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(_u3621), _u3622))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3621), _u3622)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__insert__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__insert__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3623), _u3624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3623), _u3624)), hAPP(c_Finite__Set_Ocard(_u3623), hAPP(hAPP(c_Set_Oinsert(_u3623), _u3625), _u3624)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3626), _u3627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3626, tc_HOL_Obool)), _u3628), _u3627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3626), _u3628)), hAPP(c_Finite__Set_Ocard(_u3626), _u3627))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__seteq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__seteq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3629), _u3630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3629, tc_HOL_Obool)), _u3631), _u3630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3629), _u3630)), hAPP(c_Finite__Set_Ocard(_u3629), _u3631))) | ( _u3631 = _u3630) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__image__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__image__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3632), _u3633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3634), hAPP(c_Set_Oimage(_u3632, _u3634, _u3635), _u3633))), hAPP(c_Finite__Set_Ocard(_u3632), _u3633))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__pos__nonneg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__pos__nonneg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3636) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3636), c_Groups_Ozero__class_Ozero(_u3636)), _u3637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3636), c_Groups_Ozero__class_Ozero(_u3636)), _u3638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3636), c_Groups_Ozero__class_Ozero(_u3636)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3636), _u3637), _u3638))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__nonneg__pos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__nonneg__pos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3639), c_Groups_Ozero__class_Ozero(_u3639)), _u3640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3639), c_Groups_Ozero__class_Ozero(_u3639)), _u3641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3639), c_Groups_Ozero__class_Ozero(_u3639)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3639), _u3640), _u3641))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__strict__increasing ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__strict__increasing-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3642), c_Groups_Ozero__class_Ozero(_u3642)), _u3643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3642), _u3644), _u3645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3642), _u3644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3642), _u3643), _u3645))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__strict__increasing2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__strict__increasing2-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3646), c_Groups_Ozero__class_Ozero(_u3646)), _u3647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3646), _u3648), _u3649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3646), _u3648), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3646), _u3647), _u3649))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__neg__nonpos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__neg__nonpos-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3650), _u3651), c_Groups_Ozero__class_Ozero(_u3650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3650), _u3652), c_Groups_Ozero__class_Ozero(_u3650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3650), _u3651), _u3652)), c_Groups_Ozero__class_Ozero(_u3650))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__nonpos__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__nonpos__neg-1, axiom, ( ~class_Groups_Oordered__comm__monoid__add(_u3653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3653), _u3654), c_Groups_Ozero__class_Ozero(_u3653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3653), _u3655), c_Groups_Ozero__class_Ozero(_u3653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3653), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3653), _u3654), _u3655)), c_Groups_Ozero__class_Ozero(_u3653))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_eq__card__imp__inj__on ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_eq__card__imp__inj__on-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3656), _u3657)) | ( hAPP(c_Finite__Set_Ocard(_u3658), hAPP(c_Set_Oimage(_u3656, _u3658, _u3659), _u3657)) != hAPP(c_Finite__Set_Ocard(_u3656), _u3657)) | c_Fun_Oinj__on(_u3656, _u3658, _u3659, _u3657) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__iff__eq__card ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__iff__eq__card-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3660), _u3661)) | ~c_Fun_Oinj__on(_u3660, _u3662, _u3663, _u3661) | ( hAPP(c_Finite__Set_Ocard(_u3662), hAPP(c_Set_Oimage(_u3660, _u3662, _u3663), _u3661)) = hAPP(c_Finite__Set_Ocard(_u3660), _u3661)) )).
% 43.36/43.55 cnf(fact_inj__on__iff__eq__card-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3660), _u3661)) | ( hAPP(c_Finite__Set_Ocard(_u3662), hAPP(c_Set_Oimage(_u3660, _u3662, _u3663), _u3661)) != hAPP(c_Finite__Set_Ocard(_u3660), _u3661)) | c_Fun_Oinj__on(_u3660, _u3662, _u3663, _u3661) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_pigeonhole ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_pigeonhole-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3664), hAPP(c_Set_Oimage(_u3665, _u3664, _u3666), _u3667))), hAPP(c_Finite__Set_Ocard(_u3665), _u3667))) | ~c_Fun_Oinj__on(_u3665, _u3664, _u3666, _u3667) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_psubset__card__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_psubset__card__mono-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3668), _u3669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3668, tc_HOL_Obool)), _u3670), _u3669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3668), _u3670)), hAPP(c_Finite__Set_Ocard(_u3668), _u3669))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__diff__split__asm ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__diff__split__asm-1, axiom, ( ~hBOOL(hAPP(_u3676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3678), _u3680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3678), _u3680)) | hBOOL(hAPP(_u3676, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55 cnf(fact_nat__diff__split__asm-2, axiom, ( ~hBOOL(hAPP(_u3676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3678), _u3680))) | ( _u3678 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3680), _u3671)) | hBOOL(hAPP(_u3676, _u3671)) )).
% 43.36/43.55 cnf(fact_nat__diff__split__asm-3, axiom, ( hBOOL(hAPP(_u3677, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3679), _u3681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3679), _u3681)) | ( _u3679 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3681), skolem81(_u3681, _u3679, _u3677))) )).
% 43.36/43.55 cnf(fact_nat__diff__split__asm-4, axiom, ( hBOOL(hAPP(_u3677, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3679), _u3681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3679), _u3681)) | ~hBOOL(hAPP(_u3677, skolem81(_u3681, _u3679, _u3677))) )).
% 43.36/43.55 cnf(fact_nat__diff__split__asm-5, axiom, ( hBOOL(hAPP(_u3677, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3679), _u3681))) | ~hBOOL(hAPP(_u3677, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3679 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3681), skolem81(_u3681, _u3679, _u3677))) )).
% 43.36/43.55 cnf(fact_nat__diff__split__asm-6, axiom, ( hBOOL(hAPP(_u3677, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3679), _u3681))) | ~hBOOL(hAPP(_u3677, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3677, skolem81(_u3681, _u3679, _u3677))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__diff__split ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__diff__split-1, axiom, ( ~hBOOL(hAPP(_u3687, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3691))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3689), _u3691)) | hBOOL(hAPP(_u3687, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55 cnf(fact_nat__diff__split-2, axiom, ( ~hBOOL(hAPP(_u3687, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3691))) | ( _u3689 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3691), _u3682)) | hBOOL(hAPP(_u3687, _u3682)) )).
% 43.36/43.55 cnf(fact_nat__diff__split-3, axiom, ( hBOOL(hAPP(_u3688, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3690), _u3692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3690), _u3692)) | ( _u3690 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3692), skolem82(_u3692, _u3690, _u3688))) )).
% 43.36/43.55 cnf(fact_nat__diff__split-4, axiom, ( hBOOL(hAPP(_u3688, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3690), _u3692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3690), _u3692)) | ~hBOOL(hAPP(_u3688, skolem82(_u3692, _u3690, _u3688))) )).
% 43.36/43.55 cnf(fact_nat__diff__split-5, axiom, ( hBOOL(hAPP(_u3688, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3690), _u3692))) | ~hBOOL(hAPP(_u3688, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3690 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3692), skolem82(_u3692, _u3690, _u3688))) )).
% 43.36/43.55 cnf(fact_nat__diff__split-6, axiom, ( hBOOL(hAPP(_u3688, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3690), _u3692))) | ~hBOOL(hAPP(_u3688, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3688, skolem82(_u3692, _u3690, _u3688))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__Suc__diff__eq1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__Suc__diff__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3693), _u3694)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3695), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3694), _u3693))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), _u3693)), hAPP(c_Nat_OSuc, _u3694))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__Suc__diff__eq2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__Suc__diff__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3696), _u3697)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3697), _u3696))), _u3698) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3697)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3696), _u3698))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__insert__if ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__insert__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3699), _u3700)) | ~hBOOL(hAPP(hAPP(c_member(_u3699), _u3701), _u3700)) | ( hAPP(c_Finite__Set_Ocard(_u3699), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3701), _u3700)) = hAPP(c_Finite__Set_Ocard(_u3699), _u3700)) )).
% 43.36/43.55 cnf(fact_card__insert__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3699), _u3700)) | hBOOL(hAPP(hAPP(c_member(_u3699), _u3701), _u3700)) | ( hAPP(c_Finite__Set_Ocard(_u3699), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3701), _u3700)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3699), _u3700))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__insert__disjoint ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__insert__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3702), _u3703)) | hBOOL(hAPP(hAPP(c_member(_u3702), _u3704), _u3703)) | ( hAPP(c_Finite__Set_Ocard(_u3702), hAPP(hAPP(c_Set_Oinsert(_u3702), _u3704), _u3703)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3702), _u3703))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__gt__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 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(_u3707), _u3709))) | ( _u3709 != c_Orderings_Obot__class_Obot(tc_fun(_u3707, tc_HOL_Obool))) )).
% 43.36/43.55 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(_u3707), _u3709))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3707), _u3709)) )).
% 43.36/43.55 cnf(fact_card__gt__0__iff-3, axiom, ( ( _u3710 = c_Orderings_Obot__class_Obot(tc_fun(_u3708, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3708), _u3710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3708), _u3710))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__bij__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__bij__eq-1, axiom, ( ~c_Fun_Oinj__on(_u3711, _u3712, _u3713, _u3714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3712, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3711, _u3712, _u3713), _u3714)), _u3715)) | ~c_Fun_Oinj__on(_u3712, _u3711, _u3716, _u3715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3711, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3712, _u3711, _u3716), _u3715)), _u3714)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3711), _u3714)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3712), _u3715)) | ( hAPP(c_Finite__Set_Ocard(_u3711), _u3714) = hAPP(c_Finite__Set_Ocard(_u3712), _u3715)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Diff__subset ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Diff__subset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3717), _u3718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3717, tc_HOL_Obool)), _u3718), _u3719)) | ( hAPP(c_Finite__Set_Ocard(_u3717), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3717, tc_HOL_Obool)), _u3719), _u3718)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3717), _u3719)), hAPP(c_Finite__Set_Ocard(_u3717), _u3718))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Diff__subset__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Diff__subset__Int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3720), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3720, tc_HOL_Obool)), _u3721), _u3722))) | ( hAPP(c_Finite__Set_Ocard(_u3720), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3720, tc_HOL_Obool)), _u3721), _u3722)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3720), _u3721)), hAPP(c_Finite__Set_Ocard(_u3720), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3720, tc_HOL_Obool)), _u3721), _u3722)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__card__le__card__Diff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__card__le__card__Diff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3723), _u3724)) | 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(_u3723), _u3725)), hAPP(c_Finite__Set_Ocard(_u3723), _u3724))), hAPP(c_Finite__Set_Ocard(_u3723), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3723, tc_HOL_Obool)), _u3725), _u3724)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum_Oinsert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3727), _u3728)) | hBOOL(hAPP(hAPP(c_member(_u3727), _u3729), _u3728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3727, _u3726), _u3730), hAPP(hAPP(c_Set_Oinsert(_u3727), _u3729), _u3728)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3726), hAPP(_u3730, _u3729)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3727, _u3726), _u3730), _u3728))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__insert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3732), _u3733)) | hBOOL(hAPP(hAPP(c_member(_u3732), _u3734), _u3733)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3732, _u3731), _u3735), hAPP(hAPP(c_Set_Oinsert(_u3732), _u3734), _u3733)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3731), hAPP(_u3735, _u3734)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3732, _u3731), _u3735), _u3733))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__psubset ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__psubset-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3736), _u3737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3736, tc_HOL_Obool)), _u3738), _u3737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3736), _u3738)), hAPP(c_Finite__Set_Ocard(_u3736), _u3737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3736, tc_HOL_Obool)), _u3738), _u3737)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__Un__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3740), _u3741)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3740), _u3742)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3740, _u3739), _u3743), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3740, tc_HOL_Obool)), _u3741), _u3742))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3740, _u3739), _u3743), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3740, tc_HOL_Obool)), _u3741), _u3742))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3740, _u3739), _u3743), _u3741)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3740, _u3739), _u3743), _u3742))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__insert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3744), _u3745)) | ( hAPP(c_Finite__Set_Ocard(_u3744), hAPP(hAPP(c_Set_Oinsert(_u3744), _u3746), _u3745)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3744), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3744, tc_HOL_Obool)), _u3745), hAPP(hAPP(c_Set_Oinsert(_u3744), _u3746), c_Orderings_Obot__class_Obot(tc_fun(_u3744, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Diff1__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Diff1__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3747), _u3748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3747), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3747, tc_HOL_Obool)), _u3748), hAPP(hAPP(c_Set_Oinsert(_u3747), _u3749), c_Orderings_Obot__class_Obot(tc_fun(_u3747, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3747), _u3748))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__inj__on__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__inj__on__le-1, axiom, ( ~c_Fun_Oinj__on(_u3750, _u3751, _u3752, _u3753) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3751, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3750, _u3751, _u3752), _u3753)), _u3754)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3751), _u3754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3750), _u3753)), hAPP(c_Finite__Set_Ocard(_u3751), _u3754))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3755) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3756), _u3757)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3756, _u3755), _u3758), hAPP(hAPP(c_Set_Oinsert(_u3756), _u3759), _u3757)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3755), hAPP(_u3758, _u3759)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3756, _u3755), _u3758), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3756, tc_HOL_Obool)), _u3757), hAPP(hAPP(c_Set_Oinsert(_u3756), _u3759), c_Orderings_Obot__class_Obot(tc_fun(_u3756, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__Un__disjoint ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3760) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3761), _u3762)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3761), _u3763)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3761, tc_HOL_Obool)), _u3762), _u3763) != c_Orderings_Obot__class_Obot(tc_fun(_u3761, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3761, _u3760), _u3764), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3761, tc_HOL_Obool)), _u3762), _u3763)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3760), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3761, _u3760), _u3764), _u3762)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3761, _u3760), _u3764), _u3763))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__Un ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__Un-1, axiom, ( ~class_Groups_Oab__group__add(_u3765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3766), _u3767)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3766), _u3768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3766, _u3765), _u3769), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3766, tc_HOL_Obool)), _u3767), _u3768)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3765), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3765), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3766, _u3765), _u3769), _u3767)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3766, _u3765), _u3769), _u3768))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3766, _u3765), _u3769), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3766, tc_HOL_Obool)), _u3767), _u3768)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__Un__nat ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__Un__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3770), _u3771)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3770), _u3772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3770, tc_Nat_Onat), _u3773), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3770, tc_HOL_Obool)), _u3771), _u3772)) = 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(_u3770, tc_Nat_Onat), _u3773), _u3771)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3770, tc_Nat_Onat), _u3773), _u3772))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3770, tc_Nat_Onat), _u3773), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3770, tc_HOL_Obool)), _u3771), _u3772)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__iff__card__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_inj__on__iff__card__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3776), _u3777)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3778), _u3779)) | ~c_Fun_Oinj__on(_u3776, _u3778, _u3774, _u3777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3778, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3776, _u3778, _u3774), _u3777)), _u3779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3776), _u3777)), hAPP(c_Finite__Set_Ocard(_u3778), _u3779))) )).
% 43.36/43.55 cnf(fact_inj__on__iff__card__le-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3776), _u3777)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3778), _u3779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3776), _u3777)), hAPP(c_Finite__Set_Ocard(_u3778), _u3779))) | c_Fun_Oinj__on(_u3776, _u3778, skolem83(_u3779, _u3778, _u3777, _u3776), _u3777) )).
% 43.36/43.55 cnf(fact_inj__on__iff__card__le-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3776), _u3777)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3778), _u3779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3776), _u3777)), hAPP(c_Finite__Set_Ocard(_u3778), _u3779))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3778, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3776, _u3778, skolem83(_u3779, _u3778, _u3777, _u3776)), _u3777)), _u3779)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_even__less__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_even__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u3780) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3780), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3780), _u3781), _u3781)), c_Groups_Ozero__class_Ozero(_u3780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3780), _u3781), c_Groups_Ozero__class_Ozero(_u3780))) )).
% 43.36/43.55 cnf(fact_even__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u3780) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3780), _u3781), c_Groups_Ozero__class_Ozero(_u3780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3780), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3780), _u3781), _u3781)), c_Groups_Ozero__class_Ozero(_u3780))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_pos__add__strict ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_pos__add__strict-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3782), c_Groups_Ozero__class_Ozero(_u3782)), _u3783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3782), _u3784), _u3785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3782), _u3784), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3782), _u3783), _u3785))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__monoid__big_OF__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__monoid__big_OF__eq-1, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u3786, _u3787, _u3788, _u3789, _u3790) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3787), _u3791)) | ( hAPP(hAPP(_u3790, _u3792), _u3791) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3786, _u3787, _u3788), _u3792), _u3789), _u3791)) )).
% 43.36/43.55 cnf(fact_comm__monoid__big_OF__eq-2, axiom, ( ~c_Big__Operators_Ocomm__monoid__big(_u3786, _u3787, _u3788, _u3789, _u3790) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3787), _u3791)) | ( hAPP(hAPP(_u3790, _u3792), _u3791) = _u3789) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum_Ounion__inter__neutral ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3795), _u3796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3795), _u3797)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3795, tc_HOL_Obool)), _u3796), _u3797)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3794), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), _u3796)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), _u3797))) | hBOOL(hAPP(hAPP(c_member(_u3795), skolem84(_u3798, _u3797, _u3796, _u3795, _u3794)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3795, tc_HOL_Obool)), _u3796), _u3797))) )).
% 43.36/43.55 cnf(fact_setsum_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3795), _u3796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3795), _u3797)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3795, tc_HOL_Obool)), _u3796), _u3797)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3794), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), _u3796)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), _u3797))) | ( hAPP(_u3798, skolem84(_u3798, _u3797, _u3796, _u3795, _u3794)) != c_Groups_Ozero__class_Ozero(_u3794)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__Un__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__Un__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3801), _u3802)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3801), _u3803)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3801, tc_HOL_Obool)), _u3802), _u3803)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3800), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), _u3802)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), _u3803))) | hBOOL(hAPP(hAPP(c_member(_u3801), skolem85(_u3804, _u3803, _u3802, _u3801, _u3800)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3801, tc_HOL_Obool)), _u3802), _u3803))) )).
% 43.36/43.55 cnf(fact_setsum__Un__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u3800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3801), _u3802)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3801), _u3803)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3801, tc_HOL_Obool)), _u3802), _u3803)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3800), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), _u3802)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), _u3803))) | ( hAPP(_u3804, skolem85(_u3804, _u3803, _u3802, _u3801, _u3800)) != c_Groups_Ozero__class_Ozero(_u3800)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Suc__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Suc__eq-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3812), _u3814) != hAPP(c_Nat_OSuc, _u3816)) | ( _u3814 = hAPP(hAPP(c_Set_Oinsert(_u3812), skolem86(_u3816, _u3814, _u3812)), skolem87(_u3816, _u3814, _u3812))) )).
% 43.36/43.55 cnf(fact_card__Suc__eq-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3812), _u3814) != hAPP(c_Nat_OSuc, _u3816)) | ~hBOOL(hAPP(hAPP(c_member(_u3812), skolem86(_u3816, _u3814, _u3812)), skolem87(_u3816, _u3814, _u3812))) )).
% 43.36/43.55 cnf(fact_card__Suc__eq-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3812), _u3814) != hAPP(c_Nat_OSuc, _u3816)) | ( hAPP(c_Finite__Set_Ocard(_u3812), skolem87(_u3816, _u3814, _u3812)) = _u3816) )).
% 43.36/43.55 cnf(fact_card__Suc__eq-4, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3812), _u3814) != hAPP(c_Nat_OSuc, _u3816)) | ( _u3816 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem87(_u3816, _u3814, _u3812) = c_Orderings_Obot__class_Obot(tc_fun(_u3812, tc_HOL_Obool))) )).
% 43.36/43.55 cnf(fact_card__Suc__eq-5, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3813), _u3815) = hAPP(c_Nat_OSuc, _u3817)) | ( _u3815 != hAPP(hAPP(c_Set_Oinsert(_u3813), _u3808), _u3807)) | hBOOL(hAPP(hAPP(c_member(_u3813), _u3808), _u3807)) | ( hAPP(c_Finite__Set_Ocard(_u3813), _u3807) != _u3817) | ( _u3817 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_card__Suc__eq-6, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3813), _u3815) = hAPP(c_Nat_OSuc, _u3817)) | ( _u3815 != hAPP(hAPP(c_Set_Oinsert(_u3813), _u3808), _u3807)) | hBOOL(hAPP(hAPP(c_member(_u3813), _u3808), _u3807)) | ( hAPP(c_Finite__Set_Ocard(_u3813), _u3807) != _u3817) | ( _u3807 != c_Orderings_Obot__class_Obot(tc_fun(_u3813, tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Diff__singleton__if ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Diff__singleton__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), _u3819)) | ~hBOOL(hAPP(hAPP(c_member(_u3818), _u3820), _u3819)) | ( hAPP(c_Finite__Set_Ocard(_u3818), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3818, tc_HOL_Obool)), _u3819), hAPP(hAPP(c_Set_Oinsert(_u3818), _u3820), c_Orderings_Obot__class_Obot(tc_fun(_u3818, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3818), _u3819)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.36/43.55 cnf(fact_card__Diff__singleton__if-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), _u3819)) | hBOOL(hAPP(hAPP(c_member(_u3818), _u3820), _u3819)) | ( hAPP(c_Finite__Set_Ocard(_u3818), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3818, tc_HOL_Obool)), _u3819), hAPP(hAPP(c_Set_Oinsert(_u3818), _u3820), c_Orderings_Obot__class_Obot(tc_fun(_u3818, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u3818), _u3819)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Diff__singleton ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Diff__singleton-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3821), _u3822)) | ~hBOOL(hAPP(hAPP(c_member(_u3821), _u3823), _u3822)) | ( hAPP(c_Finite__Set_Ocard(_u3821), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3821, tc_HOL_Obool)), _u3822), hAPP(hAPP(c_Set_Oinsert(_u3821), _u3823), c_Orderings_Obot__class_Obot(tc_fun(_u3821, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3821), _u3822)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__add__right__cancel ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__add__right__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3827), _u3829) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3831), _u3829)) | ( _u3827 = _u3831) )).
% 43.36/43.55 cnf(fact_nat__add__right__cancel-2, axiom, ( ( _u3828 != _u3832) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3828), _u3830) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3832), _u3830)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__add__left__cancel ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__add__left__cancel-1, axiom, ( ( _u3838 = _u3840) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3836), _u3838) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3836), _u3840)) )).
% 43.36/43.55 cnf(fact_nat__add__left__cancel-2, axiom, ( ( _u3839 != _u3841) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3837), _u3839) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3837), _u3841)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__add__assoc ( axiom ) converted to clauses:
% 43.36/43.55 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), _u3842), _u3843)), _u3844) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3842), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3843), _u3844))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__add__left__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__add__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3845), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3846), _u3847)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3845), _u3847))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__add__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__add__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3848), _u3849) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3849), _u3848)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_one__neq__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_one__neq__zero-1, axiom, ( ~class_Rings_Ozero__neq__one(_u3850) | ( c_Groups_Oone__class_Oone(_u3850) != c_Groups_Ozero__class_Ozero(_u3850)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__neq__one ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__neq__one-1, axiom, ( ~class_Rings_Ozero__neq__one(_u3851) | ( c_Groups_Ozero__class_Ozero(_u3851) != c_Groups_Oone__class_Oone(_u3851)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_one__reorient ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_one__reorient-1, axiom, ( ~class_Groups_Oone(_u3852) | ( c_Groups_Oone__class_Oone(_u3852) != _u3853) | ( _u3853 = c_Groups_Oone__class_Oone(_u3852)) )).
% 43.36/43.55 cnf(fact_one__reorient-2, axiom, ( ~class_Groups_Oone(_u3852) | ( _u3853 != c_Groups_Oone__class_Oone(_u3852)) | ( c_Groups_Oone__class_Oone(_u3852) = _u3853) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__eq__plus1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Suc__eq__plus1-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3854) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3854), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__eq__plus1__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Suc__eq__plus1__left-1, axiom, ( ( hAPP(c_Nat_OSuc, _u3855) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3855)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__le__one ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__le__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3856) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3856), c_Groups_Ozero__class_Ozero(_u3856)), c_Groups_Oone__class_Oone(_u3856))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_not__one__le__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_not__one__le__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3857), c_Groups_Oone__class_Oone(_u3857)), c_Groups_Ozero__class_Ozero(_u3857))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__less__one ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3858) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3858), c_Groups_Ozero__class_Ozero(_u3858)), c_Groups_Oone__class_Oone(_u3858))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_not__one__less__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_not__one__less__zero-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3859) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3859), c_Groups_Oone__class_Oone(_u3859)), c_Groups_Ozero__class_Ozero(_u3859))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__add__one ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__add__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3860), _u3861), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3860), _u3861), c_Groups_Oone__class_Oone(_u3860)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__def ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3864), _u3866)) | ( hAPP(c_Finite__Set_Ocard(_u3864), _u3866) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u3864, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u3864), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3866)) )).
% 43.36/43.55 cnf(fact_card__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3865), _u3867)) | ( hAPP(c_Finite__Set_Ocard(_u3865), _u3867) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card_Oeq__fold__g ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card_Oeq__fold__g-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3868), _u3869)) | ( hAPP(c_Finite__Set_Ocard(_u3868), _u3869) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u3868, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u3868), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3869)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__less__two ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__less__two-1, axiom, ( ~class_Rings_Olinordered__semidom(_u3870) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3870), c_Groups_Ozero__class_Ozero(_u3870)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3870), c_Groups_Oone__class_Oone(_u3870)), c_Groups_Oone__class_Oone(_u3870)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_One__nat__def ( axiom ) converted to clauses:
% 43.36/43.55 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))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__Suc__eq__diff__pred ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__Suc__eq__diff__pred-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3871), hAPP(c_Nat_OSuc, _u3872)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3871), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3872)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__Suc__1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__Suc__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3873)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3873) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__eq__setsum ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__eq__setsum-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u3874), _u3875) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3874, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u3874), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3875)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__eq__if ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__eq__if-1, axiom, ( ( _u3878 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3878), _u3880) = _u3880) )).
% 43.36/43.55 cnf(fact_add__eq__if-2, axiom, ( ( _u3879 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3879), _u3881) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3879), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3881))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_linorder__neqE__linordered__idom ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_linorder__neqE__linordered__idom-1, axiom, ( ~class_Rings_Olinordered__idom(_u3882) | ( _u3883 = _u3884) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3882), _u3883), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3882), _u3884), _u3883)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__eq__1__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3889), skolem88(_u3891, _u3890, _u3889)), _u3890)) )).
% 43.36/43.55 cnf(fact_setsum__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3891, skolem88(_u3891, _u3890, _u3889)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_setsum__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3889), _u3885), _u3890)) | ( skolem88(_u3891, _u3890, _u3889) = _u3885) | ( hAPP(_u3891, _u3885) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_setsum__eq__1__iff-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3889), _u3888), _u3890)) | ( hAPP(_u3891, _u3888) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3889), skolem89(_u3891, _u3890, _u3889, _u3888)), _u3890)) )).
% 43.36/43.55 cnf(fact_setsum__eq__1__iff-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3889), _u3888), _u3890)) | ( hAPP(_u3891, _u3888) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3888 != skolem89(_u3891, _u3890, _u3889, _u3888)) )).
% 43.36/43.55 cnf(fact_setsum__eq__1__iff-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3889), _u3888), _u3890)) | ( hAPP(_u3891, _u3888) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3891, skolem89(_u3891, _u3890, _u3889, _u3888)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__nat__set__iff__bounded ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__nat__set__iff__bounded-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3897)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3892), _u3897)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3892), skolem90(_u3897))) )).
% 43.36/43.55 cnf(fact_finite__nat__set__iff__bounded-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3898)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem91(_u3898, _u3895)), _u3898)) )).
% 43.36/43.55 cnf(fact_finite__nat__set__iff__bounded-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem91(_u3898, _u3895)), _u3895)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__nat__set__iff__bounded__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__nat__set__iff__bounded__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3904)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3899), _u3904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3899), skolem92(_u3904))) )).
% 43.36/43.55 cnf(fact_finite__nat__set__iff__bounded__le-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3905)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem93(_u3905, _u3902)), _u3905)) )).
% 43.36/43.55 cnf(fact_finite__nat__set__iff__bounded__le-3, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem93(_u3905, _u3902)), _u3902)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card_Oinsert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card_Oinsert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3906), _u3907)) | hBOOL(hAPP(hAPP(c_member(_u3906), _u3908), _u3907)) | ( hAPP(c_Finite__Set_Ocard(_u3906), hAPP(hAPP(c_Set_Oinsert(_u3906), _u3908), _u3907)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3906), _u3907))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__diff__1 ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u3909)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3909), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u3909) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__pred_H ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u3910)) | ( _u3910 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3910), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__monoid__big_Oinfinite ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__monoid__big_Oinfinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3912), _u3916)) | ( hAPP(hAPP(_u3915, _u3917), _u3916) = _u3914) | ~c_Big__Operators_Ocomm__monoid__big(_u3911, _u3912, _u3913, _u3914, _u3915) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card_Oinsert__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3918), _u3919)) | ( hAPP(c_Finite__Set_Ocard(_u3918), hAPP(hAPP(c_Set_Oinsert(_u3918), _u3920), _u3919)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3918), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3918, tc_HOL_Obool)), _u3919), hAPP(hAPP(c_Set_Oinsert(_u3918), _u3920), c_Orderings_Obot__class_Obot(tc_fun(_u3918, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card_Oremove ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card_Oremove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3921), _u3922)) | ~hBOOL(hAPP(hAPP(c_member(_u3921), _u3923), _u3922)) | ( hAPP(c_Finite__Set_Ocard(_u3921), _u3922) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3921), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3921, tc_HOL_Obool)), _u3922), hAPP(hAPP(c_Set_Oinsert(_u3921), _u3923), c_Orderings_Obot__class_Obot(tc_fun(_u3921, tc_HOL_Obool))))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Diff__insert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Diff__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3924), _u3925)) | ~hBOOL(hAPP(hAPP(c_member(_u3924), _u3926), _u3925)) | hBOOL(hAPP(hAPP(c_member(_u3924), _u3926), _u3927)) | ( hAPP(c_Finite__Set_Ocard(_u3924), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3924, tc_HOL_Obool)), _u3925), hAPP(hAPP(c_Set_Oinsert(_u3924), _u3926), _u3927))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3924), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3924, tc_HOL_Obool)), _u3925), _u3927))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_double__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_double__eq__0__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3928) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3928), _u3929), _u3929) != c_Groups_Ozero__class_Ozero(_u3928)) | ( _u3929 = c_Groups_Ozero__class_Ozero(_u3928)) )).
% 43.36/43.55 cnf(fact_double__eq__0__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u3928) | ( _u3929 != c_Groups_Ozero__class_Ozero(_u3928)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3928), _u3929), _u3929) = c_Groups_Ozero__class_Ozero(_u3928)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card_Ounion__inter__neutral ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card_Ounion__inter__neutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3932)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3933)) | ( hAPP(c_Finite__Set_Ocard(_u3931), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3931, tc_HOL_Obool)), _u3932), _u3933)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3931), _u3932)), hAPP(c_Finite__Set_Ocard(_u3931), _u3933))) | hBOOL(hAPP(hAPP(c_member(_u3931), skolem94(_u3933, _u3932, _u3931)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3931, tc_HOL_Obool)), _u3932), _u3933))) )).
% 43.36/43.55 cnf(fact_card_Ounion__inter__neutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3932)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3933)) | ( hAPP(c_Finite__Set_Ocard(_u3931), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3931, tc_HOL_Obool)), _u3932), _u3933)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3931), _u3932)), hAPP(c_Finite__Set_Ocard(_u3931), _u3933))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ord_OgreaterThanAtMost__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ord_OgreaterThanAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3940), _u3942), c_SetInterval_Oord_OgreaterThanAtMost(_u3940, _u3944, _u3946, _u3948, _u3950))) | hBOOL(hAPP(hAPP(_u3946, _u3948), _u3942)) )).
% 43.36/43.55 cnf(fact_ord_OgreaterThanAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3940), _u3942), c_SetInterval_Oord_OgreaterThanAtMost(_u3940, _u3944, _u3946, _u3948, _u3950))) | hBOOL(hAPP(hAPP(_u3944, _u3942), _u3950)) )).
% 43.36/43.55 cnf(fact_ord_OgreaterThanAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u3947, _u3949), _u3943)) | ~hBOOL(hAPP(hAPP(_u3945, _u3943), _u3951)) | hBOOL(hAPP(hAPP(c_member(_u3941), _u3943), c_SetInterval_Oord_OgreaterThanAtMost(_u3941, _u3945, _u3947, _u3949, _u3951))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ord_OatLeastLessThan__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ord_OatLeastLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3958), _u3960), c_SetInterval_Oord_OatLeastLessThan(_u3958, _u3962, _u3964, _u3966, _u3968))) | hBOOL(hAPP(hAPP(_u3962, _u3966), _u3960)) )).
% 43.36/43.55 cnf(fact_ord_OatLeastLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3958), _u3960), c_SetInterval_Oord_OatLeastLessThan(_u3958, _u3962, _u3964, _u3966, _u3968))) | hBOOL(hAPP(hAPP(_u3964, _u3960), _u3968)) )).
% 43.36/43.55 cnf(fact_ord_OatLeastLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u3963, _u3967), _u3961)) | ~hBOOL(hAPP(hAPP(_u3965, _u3961), _u3969)) | hBOOL(hAPP(hAPP(c_member(_u3959), _u3961), c_SetInterval_Oord_OatLeastLessThan(_u3959, _u3963, _u3965, _u3967, _u3969))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ord_OgreaterThanLessThan__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ord_OgreaterThanLessThan__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3975), _u3977), c_SetInterval_Oord_OgreaterThanLessThan(_u3975, _u3979, _u3981, _u3983))) | hBOOL(hAPP(hAPP(_u3979, _u3981), _u3977)) )).
% 43.36/43.55 cnf(fact_ord_OgreaterThanLessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3975), _u3977), c_SetInterval_Oord_OgreaterThanLessThan(_u3975, _u3979, _u3981, _u3983))) | hBOOL(hAPP(hAPP(_u3979, _u3977), _u3983)) )).
% 43.36/43.55 cnf(fact_ord_OgreaterThanLessThan__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u3980, _u3982), _u3978)) | ~hBOOL(hAPP(hAPP(_u3980, _u3978), _u3984)) | hBOOL(hAPP(hAPP(c_member(_u3976), _u3978), c_SetInterval_Oord_OgreaterThanLessThan(_u3976, _u3980, _u3982, _u3984))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ord_OatLeastAtMost__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ord_OatLeastAtMost__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3990), _u3992), c_SetInterval_Oord_OatLeastAtMost(_u3990, _u3994, _u3996, _u3998))) | hBOOL(hAPP(hAPP(_u3994, _u3996), _u3992)) )).
% 43.36/43.55 cnf(fact_ord_OatLeastAtMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u3990), _u3992), c_SetInterval_Oord_OatLeastAtMost(_u3990, _u3994, _u3996, _u3998))) | hBOOL(hAPP(hAPP(_u3994, _u3992), _u3998)) )).
% 43.36/43.55 cnf(fact_ord_OatLeastAtMost__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(_u3995, _u3997), _u3993)) | ~hBOOL(hAPP(hAPP(_u3995, _u3993), _u3999)) | hBOOL(hAPP(hAPP(c_member(_u3991), _u3993), c_SetInterval_Oord_OatLeastAtMost(_u3991, _u3995, _u3997, _u3999))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ord_OgreaterThan__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ord_OgreaterThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4008, _u4010), _u4006)) | ~hBOOL(hAPP(hAPP(c_member(_u4004), _u4006), c_SetInterval_Oord_OgreaterThan(_u4004, _u4008, _u4010))) )).
% 43.36/43.55 cnf(fact_ord_OgreaterThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4009, _u4011), _u4007)) | hBOOL(hAPP(hAPP(c_member(_u4005), _u4007), c_SetInterval_Oord_OgreaterThan(_u4005, _u4009, _u4011))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ord_OlessThan__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ord_OlessThan__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4020, _u4018), _u4022)) | ~hBOOL(hAPP(hAPP(c_member(_u4016), _u4018), c_SetInterval_Oord_OlessThan(_u4016, _u4020, _u4022))) )).
% 43.36/43.55 cnf(fact_ord_OlessThan__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4021, _u4019), _u4023)) | hBOOL(hAPP(hAPP(c_member(_u4017), _u4019), c_SetInterval_Oord_OlessThan(_u4017, _u4021, _u4023))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ord_OatLeast__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ord_OatLeast__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4032, _u4034), _u4030)) | ~hBOOL(hAPP(hAPP(c_member(_u4028), _u4030), c_SetInterval_Oord_OatLeast(_u4028, _u4032, _u4034))) )).
% 43.36/43.55 cnf(fact_ord_OatLeast__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4033, _u4035), _u4031)) | hBOOL(hAPP(hAPP(c_member(_u4029), _u4031), c_SetInterval_Oord_OatLeast(_u4029, _u4033, _u4035))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ord_OatMost__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ord_OatMost__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u4044, _u4042), _u4046)) | ~hBOOL(hAPP(hAPP(c_member(_u4040), _u4042), c_SetInterval_Oord_OatMost(_u4040, _u4044, _u4046))) )).
% 43.36/43.55 cnf(fact_ord_OatMost__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u4045, _u4043), _u4047)) | hBOOL(hAPP(hAPP(c_member(_u4041), _u4043), c_SetInterval_Oord_OatMost(_u4041, _u4045, _u4047))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Ints__odd__less__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Ints__odd__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u4048) | ~hBOOL(hAPP(hAPP(c_member(_u4048), _u4049), c_Int_Oring__1__class_OInts(_u4048))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), c_Groups_Oone__class_Oone(_u4048)), _u4049)), _u4049)), c_Groups_Ozero__class_Ozero(_u4048))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), _u4049), c_Groups_Ozero__class_Ozero(_u4048))) )).
% 43.36/43.55 cnf(fact_Ints__odd__less__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u4048) | ~hBOOL(hAPP(hAPP(c_member(_u4048), _u4049), c_Int_Oring__1__class_OInts(_u4048))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), _u4049), c_Groups_Ozero__class_Ozero(_u4048))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), c_Groups_Oone__class_Oone(_u4048)), _u4049)), _u4049)), c_Groups_Ozero__class_Ozero(_u4048))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_com_Osize_I4_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_com_Osize_I4_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u4050, _u4051)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u4050)), c_Com_Ocom_Ocom__size(_u4051))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__0__iff-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4052) | ( _u4053 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4052), _u4053), _u4054)) | ( _u4054 = c_Groups_Ozero__class_Ozero(_u4052)) )).
% 43.36/43.55 cnf(fact_add__0__iff-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4052) | ( _u4054 != c_Groups_Ozero__class_Ozero(_u4052)) | ( _u4053 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4052), _u4053), _u4054)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4055) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4055), _u4056), c_Groups_Ozero__class_Ozero(_u4055)) = _u4056) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4057) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4057), c_Groups_Ozero__class_Ozero(_u4057)), _u4058) = _u4058) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Plus__conv__if ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Plus__conv__if-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4063), _u4065)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4067), _u4069)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u4063, _u4067)), c_Sum__Type_OPlus(_u4063, _u4067, _u4065, _u4069)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4063), _u4065)), hAPP(c_Finite__Set_Ocard(_u4067), _u4069))) )).
% 43.36/43.55 cnf(fact_card__Plus__conv__if-2, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u4064, _u4068)), c_Sum__Type_OPlus(_u4064, _u4068, _u4066, _u4070)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4064), _u4066)) )).
% 43.36/43.55 cnf(fact_card__Plus__conv__if-3, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u4064, _u4068)), c_Sum__Type_OPlus(_u4064, _u4068, _u4066, _u4070)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4068), _u4070)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_com_Osize_I6_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_com_Osize_I6_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u4071, _u4072)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u4072)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__PlusD_I2_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__PlusD_I2_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4074), _u4076)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4073, _u4074)), c_Sum__Type_OPlus(_u4073, _u4074, _u4075, _u4076))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__PlusD_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__PlusD_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4077, _u4078)), c_Sum__Type_OPlus(_u4077, _u4078, _u4079, _u4080))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4077), _u4079)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__Plus ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4081), _u4082)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4083), _u4084)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4081, _u4083)), c_Sum__Type_OPlus(_u4081, _u4083, _u4082, _u4084))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__Plus__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__Plus__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4089, _u4091)), c_Sum__Type_OPlus(_u4089, _u4091, _u4093, _u4095))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4089), _u4093)) )).
% 43.36/43.55 cnf(fact_finite__Plus__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4089, _u4091)), c_Sum__Type_OPlus(_u4089, _u4091, _u4093, _u4095))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4091), _u4095)) )).
% 43.36/43.55 cnf(fact_finite__Plus__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4090), _u4094)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4092), _u4096)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4090, _u4092)), c_Sum__Type_OPlus(_u4090, _u4092, _u4094, _u4096))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Ints__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Ints__0-1, axiom, ( ~class_Rings_Oring__1(_u4097) | hBOOL(hAPP(hAPP(c_member(_u4097), c_Groups_Ozero__class_Ozero(_u4097)), c_Int_Oring__1__class_OInts(_u4097))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Ints__add ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Ints__add-1, axiom, ( ~class_Rings_Oring__1(_u4098) | ~hBOOL(hAPP(hAPP(c_member(_u4098), _u4099), c_Int_Oring__1__class_OInts(_u4098))) | ~hBOOL(hAPP(hAPP(c_member(_u4098), _u4100), c_Int_Oring__1__class_OInts(_u4098))) | hBOOL(hAPP(hAPP(c_member(_u4098), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4098), _u4099), _u4100)), c_Int_Oring__1__class_OInts(_u4098))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Ints__diff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Ints__diff-1, axiom, ( ~class_Rings_Oring__1(_u4101) | ~hBOOL(hAPP(hAPP(c_member(_u4101), _u4102), c_Int_Oring__1__class_OInts(_u4101))) | ~hBOOL(hAPP(hAPP(c_member(_u4101), _u4103), c_Int_Oring__1__class_OInts(_u4101))) | hBOOL(hAPP(hAPP(c_member(_u4101), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4101), _u4102), _u4103)), c_Int_Oring__1__class_OInts(_u4101))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Ints__1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Ints__1-1, axiom, ( ~class_Rings_Oring__1(_u4104) | hBOOL(hAPP(hAPP(c_member(_u4104), c_Groups_Oone__class_Oone(_u4104)), c_Int_Oring__1__class_OInts(_u4104))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4105) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), _u4106), _u4107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), _u4108), _u4109)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), _u4106), _u4108)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), _u4107), _u4109))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4110) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4110), _u4111), _u4112)), _u4113) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4110), _u4111), _u4113)), _u4112)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4114) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4114), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4114), _u4115), _u4116)), _u4117) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4114), _u4115), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4114), _u4116), _u4117))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4118) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4118), _u4119), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4118), _u4120), _u4121)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4118), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4118), _u4119), _u4120)), _u4121)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4122) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4122), _u4123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4122), _u4124), _u4125)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4122), _u4124), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4122), _u4123), _u4125))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4126) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4126), _u4127), _u4128) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4126), _u4128), _u4127)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_com_Osize_I7_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_com_Osize_I7_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u4129)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_com_Osize_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_com_Osize_I1_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Ints__double__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Ints__double__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u4130) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4131), c_Int_Oring__1__class_OInts(_u4130))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4130), _u4131), _u4131) != c_Groups_Ozero__class_Ozero(_u4130)) | ( _u4131 = c_Groups_Ozero__class_Ozero(_u4130)) )).
% 43.36/43.55 cnf(fact_Ints__double__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u4130) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4131), c_Int_Oring__1__class_OInts(_u4130))) | ( _u4131 != c_Groups_Ozero__class_Ozero(_u4130)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4130), _u4131), _u4131) = c_Groups_Ozero__class_Ozero(_u4130)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__Plus ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__Plus-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4132), _u4133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4134), _u4135)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u4132, _u4134)), c_Sum__Type_OPlus(_u4132, _u4134, _u4133, _u4135)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4132), _u4133)), hAPP(c_Finite__Set_Ocard(_u4134), _u4135))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Ints__odd__nonzero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Ints__odd__nonzero-1, axiom, ( ~class_Int_Oring__char__0(_u4136) | ~hBOOL(hAPP(hAPP(c_member(_u4136), _u4137), c_Int_Oring__1__class_OInts(_u4136))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4136), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4136), c_Groups_Oone__class_Oone(_u4136)), _u4137)), _u4137) != c_Groups_Ozero__class_Ozero(_u4136)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Plus__eq__empty__conv ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Plus__eq__empty__conv-1, axiom, ( ( c_Sum__Type_OPlus(_u4142, _u4144, _u4146, _u4148) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4142, _u4144), tc_HOL_Obool))) | ( _u4146 = c_Orderings_Obot__class_Obot(tc_fun(_u4142, tc_HOL_Obool))) )).
% 43.36/43.55 cnf(fact_Plus__eq__empty__conv-2, axiom, ( ( c_Sum__Type_OPlus(_u4142, _u4144, _u4146, _u4148) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4142, _u4144), tc_HOL_Obool))) | ( _u4148 = c_Orderings_Obot__class_Obot(tc_fun(_u4144, tc_HOL_Obool))) )).
% 43.36/43.55 cnf(fact_Plus__eq__empty__conv-3, axiom, ( ( _u4147 != c_Orderings_Obot__class_Obot(tc_fun(_u4143, tc_HOL_Obool))) | ( _u4149 != c_Orderings_Obot__class_Obot(tc_fun(_u4145, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u4143, _u4145, _u4147, _u4149) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4143, _u4145), tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_com_Osize_I12_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_com_Osize_I12_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u4150, _u4151)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4150)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4151))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_com_Osize_I14_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_com_Osize_I14_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u4152, _u4153)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4153)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ex__least__nat__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ex__least__nat__less-1, axiom, ( hBOOL(hAPP(_u4156, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4156, _u4157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem95(_u4157, _u4156)), _u4157)) )).
% 43.36/43.55 cnf(fact_ex__least__nat__less-2, axiom, ( hBOOL(hAPP(_u4156, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4156, _u4157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4154), skolem95(_u4157, _u4156))) | ~hBOOL(hAPP(_u4156, _u4154)) )).
% 43.36/43.55 cnf(fact_ex__least__nat__less-3, axiom, ( hBOOL(hAPP(_u4156, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4156, _u4157)) | hBOOL(hAPP(_u4156, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem95(_u4157, _u4156)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__Un__disjoint ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4158) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4159), _u4160)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4159), _u4161)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4159, tc_HOL_Obool)), _u4160), _u4161) != c_Orderings_Obot__class_Obot(tc_fun(_u4159, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4158, _u4159, c_Groups_Otimes__class_Otimes(_u4158)), _u4162), c_Groups_Oone__class_Oone(_u4158)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4159, tc_HOL_Obool)), _u4160), _u4161)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4158), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4158, _u4159, c_Groups_Otimes__class_Otimes(_u4158)), _u4162), c_Groups_Oone__class_Oone(_u4158)), _u4160)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4158, _u4159, c_Groups_Otimes__class_Otimes(_u4158)), _u4162), c_Groups_Oone__class_Oone(_u4158)), _u4161))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_inj__on__diff__nat ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u4165), _u4164) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem96(_u4165, _u4164)), _u4164)) )).
% 43.36/43.55 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)), _u4165), _u4164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4165), skolem96(_u4165, _u4164))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__natinterval__difff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__natinterval__difff-1, axiom, ( ~class_Groups_Oab__group__add(_u4166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4167), _u4168)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4166), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u4166, _u4166), hAPP(hAPP(c_COMBB(_u4166, tc_fun(_u4166, _u4166), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u4166)), _u4169)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u4166, tc_Nat_Onat), _u4169), 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, _u4167, _u4168)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4166), hAPP(_u4169, _u4167)), hAPP(_u4169, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4168), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 43.36/43.55 cnf(fact_setsum__natinterval__difff-2, axiom, ( ~class_Groups_Oab__group__add(_u4166) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4167), _u4168)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4166), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u4166, _u4166), hAPP(hAPP(c_COMBB(_u4166, tc_fun(_u4166, _u4166), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u4166)), _u4169)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u4166, tc_Nat_Onat), _u4169), 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, _u4167, _u4168)) = c_Groups_Ozero__class_Ozero(_u4166)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__image__Un__Int ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__image__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4170) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4171), _u4172)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4171), _u4173)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4170), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4170, _u4171, c_Groups_Otimes__class_Otimes(_u4170)), _u4174), c_Groups_Oone__class_Oone(_u4170)), _u4172)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4170, _u4171, c_Groups_Otimes__class_Otimes(_u4170)), _u4174), c_Groups_Oone__class_Oone(_u4170)), _u4173)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4170), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4170, _u4171, c_Groups_Otimes__class_Otimes(_u4170)), _u4174), c_Groups_Oone__class_Oone(_u4170)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4171, tc_HOL_Obool)), _u4172), _u4173))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4170, _u4171, c_Groups_Otimes__class_Otimes(_u4170)), _u4174), c_Groups_Oone__class_Oone(_u4170)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4171, tc_HOL_Obool)), _u4172), _u4173)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__atLeastAtMost ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__atLeastAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4175, _u4176))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4177) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), _u4178), _u4179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), _u4180), _u4181)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), _u4178), _u4180)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), _u4179), _u4181))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4182) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), _u4183), _u4184)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), _u4185), _u4186)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), _u4185), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), _u4183), _u4184)), _u4186))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4187) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4188), _u4189)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4190), _u4191)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4190), _u4191)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4192) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4192), _u4193), _u4194)), _u4195) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4192), _u4193), _u4195)), _u4194)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4196) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4196), _u4197), _u4198)), _u4199) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4196), _u4197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4196), _u4198), _u4199))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4200) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4200), _u4201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4200), _u4202), _u4203)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4200), _u4201), _u4202)), _u4203)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4204) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4204), _u4205), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4204), _u4206), _u4207)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4204), _u4206), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4204), _u4205), _u4207))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4208), _u4209), _u4210) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4208), _u4210), _u4209)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__left__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__left__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4211) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4211), _u4212), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4211), _u4212), _u4213)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4211), _u4212), _u4213)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4214) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4214), _u4215), _u4215) = _u4215) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_times_Oidem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_times_Oidem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4216) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4216), _u4217), _u4217) = _u4217) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ab__semigroup__mult__class_Omult__ac_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ab__semigroup__mult__class_Omult__ac_I1_J-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4218) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4218), _u4219), _u4220)), _u4221) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4218), _u4219), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4218), _u4220), _u4221))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_divisors__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_divisors__zero-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u4222) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4222), _u4223), _u4224) != c_Groups_Ozero__class_Ozero(_u4222)) | ( _u4223 = c_Groups_Ozero__class_Ozero(_u4222)) | ( _u4224 = c_Groups_Ozero__class_Ozero(_u4222)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_no__zero__divisors ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_no__zero__divisors-1, axiom, ( ~class_Rings_Ono__zero__divisors(_u4225) | ( _u4226 = c_Groups_Ozero__class_Ozero(_u4225)) | ( _u4227 = c_Groups_Ozero__class_Ozero(_u4225)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4225), _u4226), _u4227) != c_Groups_Ozero__class_Ozero(_u4225)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__eq__0__iff-1, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u4228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4228), _u4229), _u4230) != c_Groups_Ozero__class_Ozero(_u4228)) | ( _u4229 = c_Groups_Ozero__class_Ozero(_u4228)) | ( _u4230 = c_Groups_Ozero__class_Ozero(_u4228)) )).
% 43.36/43.55 cnf(fact_mult__eq__0__iff-2, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u4228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4228), _u4229), _u4230) = c_Groups_Ozero__class_Ozero(_u4228)) | ( _u4229 != c_Groups_Ozero__class_Ozero(_u4228)) )).
% 43.36/43.55 cnf(fact_mult__eq__0__iff-3, axiom, ( ~class_Rings_Oring__no__zero__divisors(_u4228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4228), _u4229), _u4230) = c_Groups_Ozero__class_Ozero(_u4228)) | ( _u4230 != c_Groups_Ozero__class_Ozero(_u4228)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__zero__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__zero__right-1, axiom, ( ~class_Rings_Omult__zero(_u4231) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4231), _u4232), c_Groups_Ozero__class_Ozero(_u4231)) = c_Groups_Ozero__class_Ozero(_u4231)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__zero__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__zero__left-1, axiom, ( ~class_Rings_Omult__zero(_u4233) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4233), c_Groups_Ozero__class_Ozero(_u4233)), _u4234) = c_Groups_Ozero__class_Ozero(_u4233)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4235) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4235), _u4236), c_Groups_Ozero__class_Ozero(_u4235)) = c_Groups_Ozero__class_Ozero(_u4235)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4237) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4237), c_Groups_Ozero__class_Ozero(_u4237)), _u4238) = c_Groups_Ozero__class_Ozero(_u4237)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_image__Suc__atLeastAtMost ( axiom ) converted to clauses:
% 43.36/43.55 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, _u4239, _u4240)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4239), hAPP(c_Nat_OSuc, _u4240))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_combine__common__factor ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_combine__common__factor-1, axiom, ( ~class_Rings_Osemiring(_u4241) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4241), _u4242), _u4243)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4241), _u4244), _u4243)), _u4245)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4241), _u4242), _u4244)), _u4243)), _u4245)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__class_Odistrib ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__class_Odistrib-1, axiom, ( ~class_Rings_Ocomm__semiring(_u4246) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4246), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4246), _u4247), _u4248)), _u4249) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4246), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4246), _u4247), _u4249)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4246), _u4248), _u4249))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4250) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4250), _u4251), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4250), _u4252), _u4253)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4250), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4250), _u4251), _u4252)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4250), _u4251), _u4253))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_crossproduct__noteq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_crossproduct__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4254) | ( _u4255 = _u4256) | ( _u4257 = _u4258) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4258)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4257))) )).
% 43.36/43.55 cnf(fact_crossproduct__noteq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4254) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4258)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4257))) | ( _u4255 != _u4256) )).
% 43.36/43.55 cnf(fact_crossproduct__noteq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4254) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4258)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4257))) | ( _u4257 != _u4258) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4259) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4259), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4259), _u4260), _u4261)), _u4262) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4259), _u4260), _u4262)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4259), _u4261), _u4262))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4263) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4263), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4263), _u4264), _u4265)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4263), _u4266), _u4265)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4263), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4263), _u4264), _u4266)), _u4265)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_crossproduct__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_crossproduct__eq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4267) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4269)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4271)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4271)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4269))) | ( _u4268 = _u4270) | ( _u4269 = _u4271) )).
% 43.36/43.55 cnf(fact_crossproduct__eq-2, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4267) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4269)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4271)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4271)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4269))) | ( _u4268 != _u4270) )).
% 43.36/43.55 cnf(fact_crossproduct__eq-3, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4267) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4269)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4271)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4271)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4269))) | ( _u4269 != _u4271) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult_Ocomm__neutral ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult_Ocomm__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4272) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4272), _u4273), c_Groups_Oone__class_Oone(_u4272)) = _u4273) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__1__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__1__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u4274) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4274), _u4275), c_Groups_Oone__class_Oone(_u4274)) = _u4275) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4276) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4276), c_Groups_Oone__class_Oone(_u4276)), _u4277) = _u4277) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__1__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__1__left-1, axiom, ( ~class_Groups_Omonoid__mult(_u4278) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4278), c_Groups_Oone__class_Oone(_u4278)), _u4279) = _u4279) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4280) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4280), c_Groups_Oone__class_Oone(_u4280)), _u4281) = _u4281) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4282) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4282), _u4283), c_Groups_Oone__class_Oone(_u4282)) = _u4283) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__cancel2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__cancel2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4287), _u4289) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4291), _u4289)) | ( _u4287 = _u4291) | ( _u4289 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_mult__cancel2-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4288), _u4290) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4292), _u4290)) | ( _u4288 != _u4292) )).
% 43.36/43.55 cnf(fact_mult__cancel2-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4288), _u4290) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4292), _u4290)) | ( _u4290 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__cancel1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__cancel1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4296), _u4298) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4296), _u4300)) | ( _u4298 = _u4300) | ( _u4296 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_mult__cancel1-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4297), _u4299) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4297), _u4301)) | ( _u4299 != _u4301) )).
% 43.36/43.55 cnf(fact_mult__cancel1-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4297), _u4299) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4297), _u4301)) | ( _u4297 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__is__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__is__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4304), _u4306) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4304 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4306 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_mult__is__0-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4305), _u4307) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4305 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_mult__is__0-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4305), _u4307) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4307 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__0__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4308), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4309) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__mult__cancel1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Suc__mult__cancel1-1, axiom, ( ( _u4315 = _u4317) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4313)), _u4315) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4313)), _u4317)) )).
% 43.36/43.55 cnf(fact_Suc__mult__cancel1-2, axiom, ( ( _u4316 != _u4318) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4314)), _u4316) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4314)), _u4318)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__mult__distrib2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4319), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4320), _u4321)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4319), _u4320)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4319), _u4321))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__mult__distrib ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4322), _u4323)), _u4324) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4322), _u4324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4323), _u4324))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__le__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4325), _u4326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4327), _u4328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4325), _u4327)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4326), _u4328))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__le__mono2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__le__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4329), _u4330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4331), _u4329)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4331), _u4330))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__le__mono1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__le__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4332), _u4333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4332), _u4334)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4333), _u4334))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__cube ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__cube-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4335), _u4335)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__square ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__square-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4336), _u4336))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__mult__distrib ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4337), _u4338)), _u4339) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4337), _u4339)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4338), _u4339))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_diff__mult__distrib2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_diff__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4340), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4341), _u4342)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4340), _u4341)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4340), _u4342))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__mult__eq__1__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4345), _u4347) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4345 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_nat__mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4345), _u4347) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4347 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_nat__mult__eq__1__iff-3, axiom, ( ( _u4346 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4348 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4346), _u4348) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__mult__1__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__mult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4349), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4349) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__1__eq__mult__iff ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4352), _u4354)) | ( _u4352 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.55 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), _u4352), _u4354)) | ( _u4354 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_nat__1__eq__mult__iff-3, axiom, ( ( _u4353 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4355 != 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), _u4353), _u4355)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__mult__1 ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u4356) = _u4356) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fun__left__comm__idem ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fun__left__comm__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4357) | c_Finite__Set_Ofun__left__comm__idem(_u4357, _u4357, c_Groups_Otimes__class_Otimes(_u4357)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__shift__bounds__cl__Suc__ivl ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__shift__bounds__cl__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4358) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4358), _u4359), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4360), hAPP(c_Nat_OSuc, _u4361))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4358), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u4358, tc_Nat_Onat), _u4359), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4360, _u4361))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_image__add__atLeastAtMost ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u4362)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4363, _u4364)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4363), _u4362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4364), _u4362))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__shift__bounds__cl__nat__ivl ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__shift__bounds__cl__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4365) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4365), _u4366), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4367), _u4368), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4369), _u4368))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4365), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u4365, tc_Nat_Onat), _u4366), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u4368))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4367, _u4369))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__product ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__product-1, axiom, ( ~class_Rings_Osemiring__0(_u4370) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4370), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4371, _u4370), _u4372), _u4373)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4374, _u4370), _u4375), _u4376)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4371, _u4370), hAPP(hAPP(c_COMBC(_u4371, tc_fun(_u4374, tc_HOL_Obool), _u4370), hAPP(hAPP(c_COMBB(tc_fun(_u4374, _u4370), tc_fun(tc_fun(_u4374, tc_HOL_Obool), _u4370), _u4371), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4374, _u4370)), hAPP(hAPP(c_COMBC(_u4371, tc_fun(_u4374, _u4370), tc_fun(_u4374, _u4370)), hAPP(hAPP(c_COMBB(tc_fun(_u4370, _u4370), tc_fun(tc_fun(_u4374, _u4370), tc_fun(_u4374, _u4370)), _u4371), c_COMBB(_u4370, _u4370, _u4374)), hAPP(hAPP(c_COMBB(_u4370, tc_fun(_u4370, _u4370), _u4371), c_Groups_Otimes__class_Otimes(_u4370)), _u4372))), _u4375))), _u4376)), _u4373)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__left__distrib ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__left__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u4377) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4377), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4378, _u4377), _u4379), _u4380)), _u4381) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4378, _u4377), hAPP(hAPP(c_COMBC(_u4378, _u4377, _u4377), hAPP(hAPP(c_COMBB(_u4377, tc_fun(_u4377, _u4377), _u4378), c_Groups_Otimes__class_Otimes(_u4377)), _u4379)), _u4381)), _u4380)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__right__distrib ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__right__distrib-1, axiom, ( ~class_Rings_Osemiring__0(_u4382) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4384, _u4382), _u4385), _u4386)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4384, _u4382), hAPP(hAPP(c_COMBB(_u4382, _u4382, _u4384), hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383)), _u4385)), _u4386)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__le__square ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__le__square-1, axiom, ( ~class_Rings_Olinordered__ring(_u4387) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4387), c_Groups_Ozero__class_Ozero(_u4387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4387), _u4388), _u4388))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__le__mult__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__le__mult__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4390), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.36/43.55 cnf(fact_zero__le__mult__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4391), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.36/43.55 cnf(fact_zero__le__mult__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4390), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.36/43.55 cnf(fact_zero__le__mult__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4391), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.36/43.55 cnf(fact_zero__le__mult__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4389) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4391)) )).
% 43.36/43.55 cnf(fact_zero__le__mult__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4389) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4390), c_Groups_Ozero__class_Ozero(_u4389))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4391), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__le__0__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4393), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 43.36/43.55 cnf(fact_mult__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4394)) )).
% 43.36/43.55 cnf(fact_mult__le__0__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4394), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4393), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 43.36/43.55 cnf(fact_mult__le__0__iff-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4394), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4394)) )).
% 43.36/43.55 cnf(fact_mult__le__0__iff-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4393)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4394), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 43.36/43.55 cnf(fact_mult__le__0__iff-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4393), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4394)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__nonneg__nonneg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__nonneg__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4395) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4395), c_Groups_Ozero__class_Ozero(_u4395)), _u4396)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4395), c_Groups_Ozero__class_Ozero(_u4395)), _u4397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4395), c_Groups_Ozero__class_Ozero(_u4395)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4395), _u4396), _u4397))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__nonneg__nonpos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__nonneg__nonpos-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4398) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4398), c_Groups_Ozero__class_Ozero(_u4398)), _u4399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4398), _u4400), c_Groups_Ozero__class_Ozero(_u4398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4398), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4399), _u4400)), c_Groups_Ozero__class_Ozero(_u4398))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__nonneg__nonpos2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__nonneg__nonpos2-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4401), c_Groups_Ozero__class_Ozero(_u4401)), _u4402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4401), _u4403), c_Groups_Ozero__class_Ozero(_u4401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4401), _u4403), _u4402)), c_Groups_Ozero__class_Ozero(_u4401))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__nonpos__nonneg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__nonpos__nonneg-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4404), _u4405), c_Groups_Ozero__class_Ozero(_u4404))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4404), c_Groups_Ozero__class_Ozero(_u4404)), _u4406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4404), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4404), _u4405), _u4406)), c_Groups_Ozero__class_Ozero(_u4404))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__nonpos__nonpos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__nonpos__nonpos-1, axiom, ( ~class_Rings_Oordered__ring(_u4407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4407), _u4408), c_Groups_Ozero__class_Ozero(_u4407))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4407), _u4409), c_Groups_Ozero__class_Ozero(_u4407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4407), c_Groups_Ozero__class_Ozero(_u4407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4407), _u4408), _u4409))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__right__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__right__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u4410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4410), _u4411), _u4412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4410), c_Groups_Ozero__class_Ozero(_u4410)), _u4413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4410), _u4411), _u4413)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4410), _u4412), _u4413))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__left__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__left__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u4414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), _u4415), _u4416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), c_Groups_Ozero__class_Ozero(_u4414)), _u4417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4414), _u4417), _u4415)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4414), _u4417), _u4416))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__mult__left__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__mult__left__mono-1, axiom, ( ~class_Rings_Oordered__comm__semiring(_u4418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4419), _u4420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), c_Groups_Ozero__class_Ozero(_u4418)), _u4421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4418), _u4421), _u4419)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4418), _u4421), _u4420))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__right__mono__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__right__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u4422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4422), _u4423), _u4424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4422), _u4425), c_Groups_Ozero__class_Ozero(_u4422))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4422), _u4424), _u4425)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4422), _u4423), _u4425))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__left__mono__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__left__mono__neg-1, axiom, ( ~class_Rings_Oordered__ring(_u4426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4426), _u4427), _u4428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4426), _u4429), c_Groups_Ozero__class_Ozero(_u4426))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4426), _u4429), _u4428)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4426), _u4429), _u4427))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__mono_H ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__mono_H-1, axiom, ( ~class_Rings_Oordered__semiring(_u4430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), _u4431), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), _u4433), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), c_Groups_Ozero__class_Ozero(_u4430)), _u4431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), c_Groups_Ozero__class_Ozero(_u4430)), _u4433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4430), _u4431), _u4433)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4430), _u4432), _u4434))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__mono-1, axiom, ( ~class_Rings_Oordered__semiring(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4438), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), _u4436), _u4438)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), _u4437), _u4439))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_split__mult__pos__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_split__mult__pos__le-1, axiom, ( ~class_Rings_Oordered__ring(_u4440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), c_Groups_Ozero__class_Ozero(_u4440)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4440), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), c_Groups_Ozero__class_Ozero(_u4440)), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), c_Groups_Ozero__class_Ozero(_u4440)), _u4442)) )).
% 43.36/43.55 cnf(fact_split__mult__pos__le-2, axiom, ( ~class_Rings_Oordered__ring(_u4440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), c_Groups_Ozero__class_Ozero(_u4440)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4440), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), _u4441), c_Groups_Ozero__class_Ozero(_u4440))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), _u4442), c_Groups_Ozero__class_Ozero(_u4440))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_split__mult__neg__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_split__mult__neg__le-1, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), _u4445)), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 43.36/43.55 cnf(fact_split__mult__neg__le-2, axiom, ( ~class_Rings_Oordered__cancel__semiring(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), _u4445)), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), _u4445)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_not__square__less__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_not__square__less__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u4446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4446), _u4447), _u4447)), c_Groups_Ozero__class_Ozero(_u4446))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__cancel__right__disj ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__less__cancel__right__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), c_Groups_Ozero__class_Ozero(_u4448)), _u4450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4450), c_Groups_Ozero__class_Ozero(_u4448))) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__right__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), c_Groups_Ozero__class_Ozero(_u4448)), _u4450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4451), _u4449)) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__right__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4449), _u4451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4450), c_Groups_Ozero__class_Ozero(_u4448))) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__right__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4449), _u4451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4451), _u4449)) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__right__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), c_Groups_Ozero__class_Ozero(_u4448)), _u4450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4449), _u4451)) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__right__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4450), c_Groups_Ozero__class_Ozero(_u4448))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4451), _u4449)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__cancel__left__disj ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__less__cancel__left__disj-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), c_Groups_Ozero__class_Ozero(_u4452)), _u4453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4453), c_Groups_Ozero__class_Ozero(_u4452))) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__left__disj-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), c_Groups_Ozero__class_Ozero(_u4452)), _u4453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4455), _u4454)) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__left__disj-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4454), _u4455)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4453), c_Groups_Ozero__class_Ozero(_u4452))) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__left__disj-4, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4454), _u4455)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4455), _u4454)) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__left__disj-5, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4452) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), c_Groups_Ozero__class_Ozero(_u4452)), _u4453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4454), _u4455)) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__left__disj-6, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4452) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4453), c_Groups_Ozero__class_Ozero(_u4452))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4455), _u4454)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__cancel__left__pos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__less__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), c_Groups_Ozero__class_Ozero(_u4456)), _u4457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4456), _u4457), _u4458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4456), _u4457), _u4459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), _u4458), _u4459)) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), c_Groups_Ozero__class_Ozero(_u4456)), _u4457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), _u4458), _u4459)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4456), _u4457), _u4458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4456), _u4457), _u4459))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__pos__pos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__pos__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4460), c_Groups_Ozero__class_Ozero(_u4460)), _u4461)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4460), c_Groups_Ozero__class_Ozero(_u4460)), _u4462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4460), c_Groups_Ozero__class_Ozero(_u4460)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4460), _u4461), _u4462))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__pos__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__pos__neg-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4463), c_Groups_Ozero__class_Ozero(_u4463)), _u4464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4463), _u4465), c_Groups_Ozero__class_Ozero(_u4463))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4463), _u4464), _u4465)), c_Groups_Ozero__class_Ozero(_u4463))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__pos__neg2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__pos__neg2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), c_Groups_Ozero__class_Ozero(_u4466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4468), _u4467)), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__less__mult__pos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__less__mult__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4469), c_Groups_Ozero__class_Ozero(_u4469)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4469), _u4470), _u4471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4469), c_Groups_Ozero__class_Ozero(_u4469)), _u4470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4469), c_Groups_Ozero__class_Ozero(_u4469)), _u4471)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zero__less__mult__pos2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zero__less__mult__pos2-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4472), c_Groups_Ozero__class_Ozero(_u4472)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4472), _u4473), _u4474))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4472), c_Groups_Ozero__class_Ozero(_u4472)), _u4474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4472), c_Groups_Ozero__class_Ozero(_u4472)), _u4473)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__cancel__left__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__less__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), _u4476), c_Groups_Ozero__class_Ozero(_u4475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4475), _u4476), _u4477)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4475), _u4476), _u4478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), _u4478), _u4477)) )).
% 43.36/43.55 cnf(fact_mult__less__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), _u4476), c_Groups_Ozero__class_Ozero(_u4475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), _u4478), _u4477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4475), _u4476), _u4477)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4475), _u4476), _u4478))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__neg__pos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__neg__pos-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4479) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4479), _u4480), c_Groups_Ozero__class_Ozero(_u4479))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4479), c_Groups_Ozero__class_Ozero(_u4479)), _u4481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4479), _u4480), _u4481)), c_Groups_Ozero__class_Ozero(_u4479))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__neg__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__neg__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4482), _u4483), c_Groups_Ozero__class_Ozero(_u4482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4482), _u4484), c_Groups_Ozero__class_Ozero(_u4482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4482), c_Groups_Ozero__class_Ozero(_u4482)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4482), _u4483), _u4484))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__strict__right__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__strict__right__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), _u4486), _u4487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), c_Groups_Ozero__class_Ozero(_u4485)), _u4488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4485), _u4486), _u4488)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4485), _u4487), _u4488))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__strict__left__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4489), _u4490), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4489), c_Groups_Ozero__class_Ozero(_u4489)), _u4492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4489), _u4492), _u4490)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4489), _u4492), _u4491))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__mult__strict__left__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__mult__strict__left__mono-1, axiom, ( ~class_Rings_Olinordered__comm__semiring__strict(_u4493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4493), _u4494), _u4495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4493), c_Groups_Ozero__class_Ozero(_u4493)), _u4496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4493), _u4496), _u4494)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4493), _u4496), _u4495))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__strict__right__mono__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__strict__right__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4497), _u4498), _u4499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4497), _u4500), c_Groups_Ozero__class_Ozero(_u4497))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4497), _u4499), _u4500)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4497), _u4498), _u4500))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__strict__left__mono__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__strict__left__mono__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4501), _u4502), _u4503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4501), _u4504), c_Groups_Ozero__class_Ozero(_u4501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4501), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4501), _u4504), _u4503)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4501), _u4504), _u4502))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_sum__squares__eq__zero__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_sum__squares__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4505) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4506), _u4506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4507), _u4507)) != c_Groups_Ozero__class_Ozero(_u4505)) | ( _u4506 = c_Groups_Ozero__class_Ozero(_u4505)) )).
% 43.36/43.55 cnf(fact_sum__squares__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4505) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4506), _u4506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4507), _u4507)) != c_Groups_Ozero__class_Ozero(_u4505)) | ( _u4507 = c_Groups_Ozero__class_Ozero(_u4505)) )).
% 43.36/43.55 cnf(fact_sum__squares__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4505) | ( _u4506 != c_Groups_Ozero__class_Ozero(_u4505)) | ( _u4507 != c_Groups_Ozero__class_Ozero(_u4505)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4506), _u4506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4507), _u4507)) = c_Groups_Ozero__class_Ozero(_u4505)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_add__scale__eq__noteq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_add__scale__eq__noteq-1, axiom, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4508) | ( _u4509 = c_Groups_Ozero__class_Ozero(_u4508)) | ( _u4510 != _u4511) | ( _u4512 = _u4513) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4508), _u4510), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4508), _u4509), _u4512)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4508), _u4511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4508), _u4509), _u4513))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__shift__lb__Suc0__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__shift__lb__Suc0__0-1, axiom, ( ( hAPP(_u4514, 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), _u4514), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4515)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u4514), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4515))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__1__mult ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__1__mult-1, axiom, ( ~class_Rings_Olinordered__semidom(_u4516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), _u4517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), _u4518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4516), _u4517), _u4518))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_eq__add__iff1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_eq__add__iff1-1, axiom, ( ~class_Rings_Oring(_u4519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4520), _u4521)), _u4522) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4523), _u4521)), _u4524)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4519), _u4520), _u4523)), _u4521)), _u4522) = _u4524) )).
% 43.36/43.55 cnf(fact_eq__add__iff1-2, axiom, ( ~class_Rings_Oring(_u4519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4519), _u4520), _u4523)), _u4521)), _u4522) != _u4524) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4520), _u4521)), _u4522) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4523), _u4521)), _u4524)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_eq__add__iff2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_eq__add__iff2-1, axiom, ( ~class_Rings_Oring(_u4525) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), _u4526), _u4527)), _u4528) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), _u4529), _u4527)), _u4530)) | ( _u4528 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4525), _u4529), _u4526)), _u4527)), _u4530)) )).
% 43.36/43.55 cnf(fact_eq__add__iff2-2, axiom, ( ~class_Rings_Oring(_u4525) | ( _u4528 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4525), _u4529), _u4526)), _u4527)), _u4530)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), _u4526), _u4527)), _u4528) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), _u4529), _u4527)), _u4530)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastAtMostSuc__conv ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastAtMostSuc__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4531), hAPP(c_Nat_OSuc, _u4532))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4531, hAPP(c_Nat_OSuc, _u4532)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4532)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4531, _u4532))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4533) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4533), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4533), _u4534), _u4535)), _u4535) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4533), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4533), _u4534), c_Groups_Oone__class_Oone(_u4533))), _u4535)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4536) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4536), _u4537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4536), _u4538), _u4537)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4536), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4536), _u4538), c_Groups_Oone__class_Oone(_u4536))), _u4537)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4539) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4539), _u4540), _u4540) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4539), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4539), c_Groups_Oone__class_Oone(_u4539)), c_Groups_Oone__class_Oone(_u4539))), _u4540)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__atLeastAtMost ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__atLeastAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4541, _u4542)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4542)), _u4541)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__eq__1__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4545), _u4547) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4545 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55 cnf(fact_mult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4545), _u4547) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4547 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55 cnf(fact_mult__eq__1__iff-3, axiom, ( ( _u4546 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4548 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4546), _u4548) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__mono2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__less__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4549), _u4550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4551), _u4549)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4551), _u4550))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__mono1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__less__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4552), _u4553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4552), _u4554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4553), _u4554))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__cancel2 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4558), _u4560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4562), _u4560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4560)) )).
% 43.36/43.55 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), _u4558), _u4560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4562), _u4560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4558), _u4562)) )).
% 43.36/43.55 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)), _u4561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4559), _u4563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4559), _u4561)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4563), _u4561))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__cancel1 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4567), _u4569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4567), _u4571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4567)) )).
% 43.36/43.55 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), _u4567), _u4569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4567), _u4571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4569), _u4571)) )).
% 43.36/43.55 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)), _u4568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4570), _u4572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4568), _u4570)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4568), _u4572))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__0__less__mult__iff ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4575), _u4577))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4575)) )).
% 43.36/43.55 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), _u4575), _u4577))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4577)) )).
% 43.36/43.55 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)), _u4576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4578)) | 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), _u4576), _u4578))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__mult__less__cancel1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Suc__mult__less__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4584), _u4586)) | ~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, _u4582)), _u4584)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4582)), _u4586))) )).
% 43.36/43.55 cnf(fact_Suc__mult__less__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4585), _u4587)) | 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, _u4583)), _u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4583)), _u4587))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__Suc__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__Suc__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4588), hAPP(c_Nat_OSuc, _u4589)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4588), _u4589))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__Suc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__Suc-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4590)), _u4591) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4590), _u4591))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Suc__mult__le__cancel1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Suc__mult__le__cancel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4597), _u4599)) | ~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, _u4595)), _u4597)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4595)), _u4599))) )).
% 43.36/43.55 cnf(fact_Suc__mult__le__cancel1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4598), _u4600)) | 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, _u4596)), _u4598)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4596)), _u4600))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__eq__self__implies__10 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__eq__self__implies__10-1, axiom, ( ( _u4601 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4601), _u4602)) | ( _u4602 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4601 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_Ints__mult ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_Ints__mult-1, axiom, ( ~class_Rings_Oring__1(_u4603) | ~hBOOL(hAPP(hAPP(c_member(_u4603), _u4604), c_Int_Oring__1__class_OInts(_u4603))) | ~hBOOL(hAPP(hAPP(c_member(_u4603), _u4605), c_Int_Oring__1__class_OInts(_u4603))) | hBOOL(hAPP(hAPP(c_member(_u4603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4603), _u4604), _u4605)), c_Int_Oring__1__class_OInts(_u4603))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastatMost__empty__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastatMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u4606) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4606, _u4607, _u4608) != c_Orderings_Obot__class_Obot(tc_fun(_u4606, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4606), _u4607), _u4608)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u4606) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4606), _u4607), _u4608)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4606, _u4607, _u4608) = c_Orderings_Obot__class_Obot(tc_fun(_u4606, tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastatMost__empty__iff2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastatMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u4609) | ( c_Orderings_Obot__class_Obot(tc_fun(_u4609, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u4609, _u4610, _u4611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), _u4610), _u4611)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u4609) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), _u4610), _u4611)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u4609, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u4609, _u4610, _u4611)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastatMost__empty ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastatMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u4612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4612), _u4613), _u4614)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4612, _u4614, _u4613) = c_Orderings_Obot__class_Obot(tc_fun(_u4612, tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastatMost__subset__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastatMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u4615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4616, _u4617)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4618, _u4619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4616), _u4617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4618), _u4616)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u4615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4616, _u4617)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4618, _u4619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4616), _u4617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4617), _u4619)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__subset__iff-3, axiom, ( ~class_Orderings_Oorder(_u4615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4616, _u4617)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4618, _u4619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4616), _u4617)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__subset__iff-4, axiom, ( ~class_Orderings_Oorder(_u4615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4616, _u4617)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4618, _u4619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4618), _u4616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4617), _u4619)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastAtMost__singleton ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastAtMost__singleton-1, axiom, ( ~class_Orderings_Oorder(_u4620) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4620, _u4621, _u4621) = hAPP(hAPP(c_Set_Oinsert(_u4620), _u4621), c_Orderings_Obot__class_Obot(tc_fun(_u4620, tc_HOL_Obool)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastAtMost__singleton__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastAtMost__singleton__iff-1, axiom, ( ~class_Orderings_Oorder(_u4622) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4622, _u4623, _u4624) != hAPP(hAPP(c_Set_Oinsert(_u4622), _u4625), c_Orderings_Obot__class_Obot(tc_fun(_u4622, tc_HOL_Obool)))) | ( _u4623 = _u4624) )).
% 43.36/43.55 cnf(fact_atLeastAtMost__singleton__iff-2, axiom, ( ~class_Orderings_Oorder(_u4622) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4622, _u4623, _u4624) != hAPP(hAPP(c_Set_Oinsert(_u4622), _u4625), c_Orderings_Obot__class_Obot(tc_fun(_u4622, tc_HOL_Obool)))) | ( _u4624 = _u4625) )).
% 43.36/43.55 cnf(fact_atLeastAtMost__singleton__iff-3, axiom, ( ~class_Orderings_Oorder(_u4622) | ( _u4623 != _u4624) | ( _u4624 != _u4625) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4622, _u4623, _u4624) = hAPP(hAPP(c_Set_Oinsert(_u4622), _u4625), c_Orderings_Obot__class_Obot(tc_fun(_u4622, tc_HOL_Obool)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastAtMost__singleton_H ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastAtMost__singleton_H-1, axiom, ( ~class_Orderings_Oorder(_u4626) | ( _u4627 != _u4628) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4626, _u4627, _u4628) = hAPP(hAPP(c_Set_Oinsert(_u4626), _u4627), c_Orderings_Obot__class_Obot(tc_fun(_u4626, tc_HOL_Obool)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__le__cancel__left__pos ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__le__cancel__left__pos-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4629), c_Groups_Ozero__class_Ozero(_u4629)), _u4630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4629), _u4630), _u4631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4629), _u4630), _u4632))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), _u4631), _u4632)) )).
% 43.36/43.55 cnf(fact_mult__le__cancel__left__pos-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4629), c_Groups_Ozero__class_Ozero(_u4629)), _u4630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), _u4631), _u4632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4629), _u4630), _u4631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4629), _u4630), _u4632))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__le__cancel__left__neg ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__le__cancel__left__neg-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4633) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4633), _u4634), c_Groups_Ozero__class_Ozero(_u4633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4633), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4633), _u4634), _u4635)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4633), _u4634), _u4636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4633), _u4636), _u4635)) )).
% 43.36/43.55 cnf(fact_mult__le__cancel__left__neg-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4633) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4633), _u4634), c_Groups_Ozero__class_Ozero(_u4633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4633), _u4636), _u4635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4633), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4633), _u4634), _u4635)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4633), _u4634), _u4636))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__strict__mono ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), _u4638), _u4639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), _u4640), _u4641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), _u4639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), _u4640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4637), _u4638), _u4640)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4637), _u4639), _u4641))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__strict__mono_H ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__strict__mono_H-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4642), _u4643), _u4644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4642), _u4645), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4642), c_Groups_Ozero__class_Ozero(_u4642)), _u4643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4642), c_Groups_Ozero__class_Ozero(_u4642)), _u4645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4642), _u4643), _u4645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4642), _u4644), _u4646))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__le__imp__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__less__le__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4647), _u4648), _u4649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4647), _u4650), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4647), c_Groups_Ozero__class_Ozero(_u4647)), _u4648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4647), c_Groups_Ozero__class_Ozero(_u4647)), _u4650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4647), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4647), _u4648), _u4650)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4647), _u4649), _u4651))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__le__less__imp__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__le__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4652), _u4653), _u4654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4652), _u4655), _u4656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4652), c_Groups_Ozero__class_Ozero(_u4652)), _u4653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4652), c_Groups_Ozero__class_Ozero(_u4652)), _u4655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4652), _u4653), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4652), _u4654), _u4656))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__right__less__imp__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__right__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4657), c_Groups_Ozero__class_Ozero(_u4657)), _u4659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4658), _u4660)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__imp__less__right ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__less__imp__less__right-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4662), _u4663)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4664), _u4663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4661), c_Groups_Ozero__class_Ozero(_u4661)), _u4663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4661), _u4662), _u4664)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__left__less__imp__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__left__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semiring(_u4665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), _u4666), _u4667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), _u4666), _u4668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4665), c_Groups_Ozero__class_Ozero(_u4665)), _u4666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4665), _u4667), _u4668)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__less__imp__less__left ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__less__imp__less__left-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4669), _u4670), _u4671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4669), _u4670), _u4672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4669), c_Groups_Ozero__class_Ozero(_u4669)), _u4670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4669), _u4671), _u4672)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__right__le__imp__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__right__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), _u4674), _u4675)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), _u4676), _u4675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4673), c_Groups_Ozero__class_Ozero(_u4673)), _u4675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4674), _u4676)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__left__le__imp__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__left__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semiring__strict(_u4677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4677), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), _u4678), _u4679)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), _u4678), _u4680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4677), c_Groups_Ozero__class_Ozero(_u4677)), _u4678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4677), _u4679), _u4680)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_sum__squares__le__zero__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_sum__squares__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4682), _u4682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4683), _u4683))), c_Groups_Ozero__class_Ozero(_u4681))) | ( _u4682 = c_Groups_Ozero__class_Ozero(_u4681)) )).
% 43.36/43.55 cnf(fact_sum__squares__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4682), _u4682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4683), _u4683))), c_Groups_Ozero__class_Ozero(_u4681))) | ( _u4683 = c_Groups_Ozero__class_Ozero(_u4681)) )).
% 43.36/43.55 cnf(fact_sum__squares__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4681) | ( _u4682 != c_Groups_Ozero__class_Ozero(_u4681)) | ( _u4683 != c_Groups_Ozero__class_Ozero(_u4681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4682), _u4682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4683), _u4683))), c_Groups_Ozero__class_Ozero(_u4681))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_sum__squares__ge__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_sum__squares__ge__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u4684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), c_Groups_Ozero__class_Ozero(_u4684)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4685), _u4685)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4686), _u4686)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_sum__squares__gt__zero__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_sum__squares__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4687), c_Groups_Ozero__class_Ozero(_u4687)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4688), _u4688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4689), _u4689)))) | ( _u4688 != c_Groups_Ozero__class_Ozero(_u4687)) | ( _u4689 != c_Groups_Ozero__class_Ozero(_u4687)) )).
% 43.36/43.55 cnf(fact_sum__squares__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4687), c_Groups_Ozero__class_Ozero(_u4687)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4688), _u4688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4689), _u4689)))) | ( _u4688 = c_Groups_Ozero__class_Ozero(_u4687)) )).
% 43.36/43.55 cnf(fact_sum__squares__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__ring__strict(_u4687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4687), c_Groups_Ozero__class_Ozero(_u4687)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4688), _u4688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4689), _u4689)))) | ( _u4689 = c_Groups_Ozero__class_Ozero(_u4687)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_not__sum__squares__lt__zero ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_not__sum__squares__lt__zero-1, axiom, ( ~class_Rings_Olinordered__ring(_u4690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4690), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), _u4691), _u4691)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), _u4692), _u4692))), c_Groups_Ozero__class_Ozero(_u4690))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__right__le__one__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__right__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u4693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4693), c_Groups_Ozero__class_Ozero(_u4693)), _u4694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4693), c_Groups_Ozero__class_Ozero(_u4693)), _u4695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4693), _u4695), c_Groups_Oone__class_Oone(_u4693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4693), _u4694), _u4695)), _u4694)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__left__le__one__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__left__le__one__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u4696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4696), c_Groups_Ozero__class_Ozero(_u4696)), _u4697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4696), c_Groups_Ozero__class_Ozero(_u4696)), _u4698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4696), _u4698), c_Groups_Oone__class_Oone(_u4696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4696), _u4698), _u4697)), _u4697)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__add__iff2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u4699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4699), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), _u4700), _u4701)), _u4702)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), _u4703), _u4701)), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4699), _u4702), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4699), _u4703), _u4700)), _u4701)), _u4704))) )).
% 43.36/43.55 cnf(fact_le__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u4699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4699), _u4702), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4699), _u4703), _u4700)), _u4701)), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4699), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), _u4700), _u4701)), _u4702)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), _u4703), _u4701)), _u4704))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_le__add__iff1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_le__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u4705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), _u4706), _u4707)), _u4708)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), _u4709), _u4707)), _u4710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4705), _u4706), _u4709)), _u4707)), _u4708)), _u4710)) )).
% 43.36/43.55 cnf(fact_le__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u4705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4705), _u4706), _u4709)), _u4707)), _u4708)), _u4710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), _u4706), _u4707)), _u4708)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), _u4709), _u4707)), _u4710))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__add__iff2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__add__iff2-1, axiom, ( ~class_Rings_Oordered__ring(_u4711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4711), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), _u4712), _u4713)), _u4714)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), _u4715), _u4713)), _u4716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4711), _u4714), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4711), _u4715), _u4712)), _u4713)), _u4716))) )).
% 43.36/43.55 cnf(fact_less__add__iff2-2, axiom, ( ~class_Rings_Oordered__ring(_u4711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4711), _u4714), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4711), _u4715), _u4712)), _u4713)), _u4716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4711), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), _u4712), _u4713)), _u4714)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), _u4715), _u4713)), _u4716))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_less__add__iff1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_less__add__iff1-1, axiom, ( ~class_Rings_Oordered__ring(_u4717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), _u4718), _u4719)), _u4720)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), _u4721), _u4719)), _u4722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4717), _u4718), _u4721)), _u4719)), _u4720)), _u4722)) )).
% 43.36/43.55 cnf(fact_less__add__iff1-2, axiom, ( ~class_Rings_Oordered__ring(_u4717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4717), _u4718), _u4721)), _u4719)), _u4720)), _u4722)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), _u4718), _u4719)), _u4720)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), _u4721), _u4719)), _u4722))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__head__Suc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__head__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4724), _u4725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4723), _u4726), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4724, _u4725)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4723), hAPP(_u4726, _u4724)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4723), _u4726), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4724), _u4725)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_n__less__m__mult__n ( axiom ) converted to clauses:
% 43.36/43.55 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))), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4728), _u4727))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_n__less__n__mult__m ( axiom ) converted to clauses:
% 43.36/43.55 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))), _u4729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4729), _u4730))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_one__less__mult ( axiom ) converted to clauses:
% 43.36/43.55 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))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4732)) | 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), _u4732), _u4731))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_one__le__mult__iff ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4735), _u4737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4735)) )).
% 43.36/43.55 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), _u4735), _u4737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4737)) )).
% 43.36/43.55 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))), _u4736)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4738)) | 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), _u4736), _u4738))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__le__cancel2 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4742), _u4744)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4746), _u4744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4742), _u4746)) )).
% 43.36/43.55 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), _u4743), _u4745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4747), _u4745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4745)) )).
% 43.36/43.55 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), _u4743), _u4745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4747), _u4745))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4743), _u4747)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__le__cancel1 ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4751), _u4753)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4751), _u4755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4753), _u4755)) )).
% 43.36/43.55 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), _u4752), _u4754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4752), _u4756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4752)) )).
% 43.36/43.55 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), _u4752), _u4754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4752), _u4756))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4754), _u4756)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_com_Osize_I15_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_com_Osize_I15_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u4757)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__image__distrib ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__image__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4759), _u4760)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4758, _u4759, c_Groups_Otimes__class_Otimes(_u4758)), hAPP(hAPP(c_COMBS(_u4759, _u4758, _u4758), hAPP(hAPP(c_COMBB(_u4758, tc_fun(_u4758, _u4758), _u4759), c_Groups_Otimes__class_Otimes(_u4758)), _u4761)), _u4762)), c_Groups_Oone__class_Oone(_u4758)), _u4760) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4758), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4758, _u4759, c_Groups_Otimes__class_Otimes(_u4758)), _u4761), c_Groups_Oone__class_Oone(_u4758)), _u4760)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4758, _u4759, c_Groups_Otimes__class_Otimes(_u4758)), _u4762), c_Groups_Oone__class_Oone(_u4758)), _u4760))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_com_Osize_I9_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_com_Osize_I9_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastatMost__psubset__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastatMost__psubset__iff-1, axiom, ( ~class_Orderings_Oorder(_u4763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4764), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4764)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__psubset__iff-2, axiom, ( ~class_Orderings_Oorder(_u4763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4764), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4765), _u4767)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__psubset__iff-3, axiom, ( ~class_Orderings_Oorder(_u4763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4764), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4763), _u4766), _u4764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4763), _u4765), _u4767)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__psubset__iff-4, axiom, ( ~class_Orderings_Oorder(_u4763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4767)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__psubset__iff-5, axiom, ( ~class_Orderings_Oorder(_u4763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4764), _u4765)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__psubset__iff-6, axiom, ( ~class_Orderings_Oorder(_u4763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4765), _u4767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4763), _u4766), _u4764)) )).
% 43.36/43.55 cnf(fact_atLeastatMost__psubset__iff-7, axiom, ( ~class_Orderings_Oorder(_u4763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4765), _u4767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4763), _u4765), _u4767)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__cl__ivl__Suc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__cl__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4768) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4769)), _u4770)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4768), _u4771), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4770, hAPP(c_Nat_OSuc, _u4769))) = c_Groups_Ozero__class_Ozero(_u4768)) )).
% 43.36/43.55 cnf(fact_setsum__cl__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4768) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4769)), _u4770)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4768), _u4771), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4770, hAPP(c_Nat_OSuc, _u4769))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4768), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4768), _u4771), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4770, _u4769))), hAPP(_u4771, hAPP(c_Nat_OSuc, _u4769)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_convex__bound__le ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_convex__bound__le-1, axiom, ( ~class_Rings_Olinordered__semiring__1(_u4772) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), _u4773), _u4774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), _u4775), _u4774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), c_Groups_Ozero__class_Ozero(_u4772)), _u4776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), c_Groups_Ozero__class_Ozero(_u4772)), _u4777)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4772), _u4776), _u4777) != c_Groups_Oone__class_Oone(_u4772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4772), _u4776), _u4773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4772), _u4777), _u4775))), _u4774)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__ub__add__nat ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__ub__add__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4780), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4778), _u4781), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4779, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4780), _u4782))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4778), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4778), _u4781), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4779, _u4780))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4778), _u4781), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4780), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4780), _u4782))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__image__insert ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__image__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4783) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4784), _u4785)) | hBOOL(hAPP(hAPP(c_member(_u4784), _u4786), _u4785)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4783, _u4784, c_Groups_Otimes__class_Otimes(_u4783)), _u4787), _u4788), hAPP(hAPP(c_Set_Oinsert(_u4784), _u4786), _u4785)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4783), hAPP(_u4787, _u4786)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4783, _u4784, c_Groups_Otimes__class_Otimes(_u4783)), _u4787), _u4788), _u4785))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_mult__eq__if ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_mult__eq__if-1, axiom, ( ( _u4791 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4791), _u4793) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_mult__eq__if-2, axiom, ( ( _u4792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4792), _u4794) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4794), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4792), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4794))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_convex__bound__lt ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_convex__bound__lt-1, axiom, ( ~class_Rings_Olinordered__semiring__1__strict(_u4795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4795), _u4796), _u4797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4795), _u4798), _u4797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4795), c_Groups_Ozero__class_Ozero(_u4795)), _u4799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4795), c_Groups_Ozero__class_Ozero(_u4795)), _u4800)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4795), _u4799), _u4800) != c_Groups_Oone__class_Oone(_u4795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4795), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4795), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4795), _u4799), _u4796)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4795), _u4800), _u4798))), _u4797)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__less__add__iff1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__less__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4801), _u4802)) | ~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), _u4802), _u4803)), _u4804)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4801), _u4803)), _u4805))) | 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), _u4802), _u4801)), _u4803)), _u4804)), _u4805)) )).
% 43.36/43.55 cnf(fact_nat__less__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4801), _u4802)) | ~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), _u4802), _u4801)), _u4803)), _u4804)), _u4805)) | 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), _u4802), _u4803)), _u4804)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4801), _u4803)), _u4805))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__less__add__iff2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__less__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4806), _u4807)) | ~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), _u4806), _u4808)), _u4809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4807), _u4808)), _u4810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4809), 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), _u4807), _u4806)), _u4808)), _u4810))) )).
% 43.36/43.55 cnf(fact_nat__less__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4806), _u4807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4809), 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), _u4807), _u4806)), _u4808)), _u4810))) | 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), _u4806), _u4808)), _u4809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4807), _u4808)), _u4810))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ex__nat__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ex__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4811), _u4817)) | ~hBOOL(hAPP(_u4819, _u4811)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem97(_u4819, _u4817)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4817))) )).
% 43.36/43.55 cnf(fact_ex__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4811), _u4817)) | ~hBOOL(hAPP(_u4819, _u4811)) | hBOOL(hAPP(_u4819, skolem97(_u4819, _u4817))) )).
% 43.36/43.55 cnf(fact_ex__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4813), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4818))) | ~hBOOL(hAPP(_u4820, _u4813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem98(_u4820, _u4818)), _u4818)) )).
% 43.36/43.55 cnf(fact_ex__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4813), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4818))) | ~hBOOL(hAPP(_u4820, _u4813)) | hBOOL(hAPP(_u4820, skolem98(_u4820, _u4818))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_all__nat__less ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_all__nat__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4822), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4827))) | hBOOL(hAPP(_u4829, _u4822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem99(_u4829, _u4827)), _u4827)) )).
% 43.36/43.55 cnf(fact_all__nat__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4822), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4827))) | hBOOL(hAPP(_u4829, _u4822)) | ~hBOOL(hAPP(_u4829, skolem99(_u4829, _u4827))) )).
% 43.36/43.55 cnf(fact_all__nat__less-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4824), _u4828)) | hBOOL(hAPP(_u4830, _u4824)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem100(_u4830, _u4828)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4828))) )).
% 43.36/43.55 cnf(fact_all__nat__less-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4824), _u4828)) | hBOOL(hAPP(_u4830, _u4824)) | ~hBOOL(hAPP(_u4830, skolem100(_u4830, _u4828))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__eq__add__iff2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__eq__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4831), _u4832)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4831), _u4833)), _u4834) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4832), _u4833)), _u4835)) | ( _u4834 = 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), _u4832), _u4831)), _u4833)), _u4835)) )).
% 43.36/43.55 cnf(fact_nat__eq__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4831), _u4832)) | ( _u4834 != 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), _u4832), _u4831)), _u4833)), _u4835)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4831), _u4833)), _u4834) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4832), _u4833)), _u4835)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__diff__add__eq2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__diff__add__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4836), _u4837)) | ( 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), _u4836), _u4838)), _u4839)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4837), _u4838)), _u4840)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4839), 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), _u4837), _u4836)), _u4838)), _u4840))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__le__add__iff2 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__le__add__iff2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4841), _u4842)) | ~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), _u4841), _u4843)), _u4844)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4842), _u4843)), _u4845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4844), 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), _u4842), _u4841)), _u4843)), _u4845))) )).
% 43.36/43.55 cnf(fact_nat__le__add__iff2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4841), _u4842)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4844), 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), _u4842), _u4841)), _u4843)), _u4845))) | 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), _u4841), _u4843)), _u4844)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4842), _u4843)), _u4845))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__eq__add__iff1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__eq__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4846), _u4847)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4847), _u4848)), _u4849) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4846), _u4848)), _u4850)) | ( 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), _u4847), _u4846)), _u4848)), _u4849) = _u4850) )).
% 43.36/43.55 cnf(fact_nat__eq__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4846), _u4847)) | ( 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), _u4847), _u4846)), _u4848)), _u4849) != _u4850) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4847), _u4848)), _u4849) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4846), _u4848)), _u4850)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__mult__assoc ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4851), _u4852)), _u4853) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4851), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4852), _u4853))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__mult__commute ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__mult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4854), _u4855) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4855), _u4854)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__mult__eq__cancel__disj ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__mult__eq__cancel__disj-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4859), _u4861) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4859), _u4863)) | ( _u4859 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4861 = _u4863) )).
% 43.36/43.55 cnf(fact_nat__mult__eq__cancel__disj-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4860), _u4862) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4860), _u4864)) | ( _u4860 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_nat__mult__eq__cancel__disj-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4860), _u4862) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4860), _u4864)) | ( _u4862 != _u4864) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_left__add__mult__distrib ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4865), _u4866)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4867), _u4866)), _u4868)) = 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), _u4865), _u4867)), _u4866)), _u4868)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__mult__eq__cancel1 ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u4869)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4869), _u4870) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4869), _u4871)) | ( _u4870 = _u4871) )).
% 43.36/43.55 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)), _u4869)) | ( _u4870 != _u4871) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4869), _u4870) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4869), _u4871)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__mult__less__cancel1 ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u4872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4872), _u4873)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4872), _u4874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4873), _u4874)) )).
% 43.36/43.55 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)), _u4872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4873), _u4874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4872), _u4873)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4872), _u4874))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__mult__le__cancel1 ( axiom ) converted to clauses:
% 43.36/43.55 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)), _u4875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4875), _u4876)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4875), _u4877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4876), _u4877)) )).
% 43.36/43.55 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)), _u4875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4876), _u4877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4875), _u4876)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4875), _u4877))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__le__add__iff1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__le__add__iff1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4878), _u4879)) | ~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), _u4879), _u4880)), _u4881)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4878), _u4880)), _u4882))) | 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), _u4879), _u4878)), _u4880)), _u4881)), _u4882)) )).
% 43.36/43.55 cnf(fact_nat__le__add__iff1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4878), _u4879)) | ~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), _u4879), _u4878)), _u4880)), _u4881)), _u4882)) | 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), _u4879), _u4880)), _u4881)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4878), _u4880)), _u4882))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_nat__diff__add__eq1 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_nat__diff__add__eq1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4883), _u4884)) | ( 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), _u4884), _u4885)), _u4886)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4883), _u4885)), _u4887)) = 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), _u4884), _u4883)), _u4885)), _u4886)), _u4887)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_arith__series__nat ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_arith__series__nat-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4888)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u4889))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4890))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4888), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4888), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4890), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4889))))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__image__Un__one ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__image__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4892) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4893), _u4894)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4893), _u4895)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4893, tc_HOL_Obool)), _u4894), _u4895)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4892), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), _u4894)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), _u4895))) | hBOOL(hAPP(hAPP(c_member(_u4893), skolem101(_u4896, _u4895, _u4894, _u4893, _u4892)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4893, tc_HOL_Obool)), _u4894), _u4895))) )).
% 43.36/43.55 cnf(fact_fold__image__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u4892) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4893), _u4894)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4893), _u4895)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4893, tc_HOL_Obool)), _u4894), _u4895)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4892), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), _u4894)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), _u4895))) | ( hAPP(_u4896, skolem101(_u4896, _u4895, _u4894, _u4893, _u4892)) != c_Groups_Oone__class_Oone(_u4892)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_gauss__sum ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_gauss__sum-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u4897) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4897), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4897), c_Groups_Oone__class_Oone(_u4897)), c_Groups_Oone__class_Oone(_u4897))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4897), c_Nat_Osemiring__1__class_Oof__nat(_u4897)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u4898))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4897), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4897), _u4898)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4897), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4897), _u4898)), c_Groups_Oone__class_Oone(_u4897)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ivl__disj__un_I5_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ivl__disj__un_I5_J-1, axiom, ( ~class_Orderings_Olinorder(_u4899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4899), _u4900), _u4901)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4899, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4899), _u4900), c_Orderings_Obot__class_Obot(tc_fun(_u4899, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u4899, _u4900, _u4901)) = c_SetInterval_Oord__class_OatLeastAtMost(_u4899, _u4900, _u4901)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_setsum__head ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_setsum__head-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u4902) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4903), _u4904)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4902), _u4905), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4903, _u4904)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4902), hAPP(_u4905, _u4903)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4902), _u4905), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u4903, _u4904)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ivl__disj__un_I6_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ivl__disj__un_I6_J-1, axiom, ( ~class_Orderings_Olinorder(_u4906) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4906), _u4907), _u4908)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4906, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4906, _u4907), _u4908)), hAPP(hAPP(c_Set_Oinsert(_u4906), _u4908), c_Orderings_Obot__class_Obot(tc_fun(_u4906, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u4906, _u4907, _u4908)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__graph__permute__diff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__graph__permute__diff-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u4909) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4909, _u4909, c_Groups_Otimes__class_Otimes(_u4909), _u4910, _u4911), _u4912)) | ~hBOOL(hAPP(hAPP(c_member(_u4909), _u4913), _u4911)) | hBOOL(hAPP(hAPP(c_member(_u4909), _u4910), _u4911)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4909, _u4909, c_Groups_Otimes__class_Otimes(_u4909), _u4913, hAPP(hAPP(c_Set_Oinsert(_u4909), _u4910), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4909, tc_HOL_Obool)), _u4911), hAPP(hAPP(c_Set_Oinsert(_u4909), _u4913), c_Orderings_Obot__class_Obot(tc_fun(_u4909, tc_HOL_Obool)))))), _u4912)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__atLeastLessThan ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__atLeastLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4914), _u4915))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__lessThan ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__lessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4916))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_finite__greaterThanAtMost ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_finite__greaterThanAtMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u4917, _u4918))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeast0LessThan ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeast0LessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4919) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4919)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_lessThan__eq__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_lessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u4920) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u4920), _u4921) != hAPP(c_SetInterval_Oord__class_OlessThan(_u4920), _u4922)) | ( _u4921 = _u4922) )).
% 43.36/43.55 cnf(fact_lessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u4920) | ( _u4921 != _u4922) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u4920), _u4921) = hAPP(c_SetInterval_Oord__class_OlessThan(_u4920), _u4922)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_of__nat__eq__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_of__nat__eq__iff-1, axiom, ( ~class_Nat_Osemiring__char__0(_u4923) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4923), _u4924) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4923), _u4925)) | ( _u4924 = _u4925) )).
% 43.36/43.55 cnf(fact_of__nat__eq__iff-2, axiom, ( ~class_Nat_Osemiring__char__0(_u4923) | ( _u4924 != _u4925) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4923), _u4924) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4923), _u4925)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastLessThan0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastLessThan0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4926), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_int__le__0__conv ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u4928 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_int__le__0__conv-2, axiom, ( ( _u4929 != 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), _u4929)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_int__0 ( axiom ) converted to clauses:
% 43.36/43.55 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)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_int__eq__0__conv ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_int__eq__0__conv-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4931) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4931 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.55 cnf(fact_int__eq__0__conv-2, axiom, ( ( _u4932 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4932) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_int__Suc ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_int__Suc-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u4933)) = 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), _u4933))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zless__iff__Suc__zadd ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zless__iff__Suc__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4938), _u4940)) | ( _u4940 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4938), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem102(_u4940, _u4938))))) )).
% 43.36/43.55 cnf(fact_zless__iff__Suc__zadd-2, axiom, ( ( _u4941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4939), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u4935)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4939), _u4941)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zless__int ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4944)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4944), _u4946)) )).
% 43.36/43.55 cnf(fact_zless__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4945), _u4947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4945)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4947))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zadd__int__left ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4948)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4949)), _u4950)) = 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), _u4948), _u4949))), _u4950)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zadd__int ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4951)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4952)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4951), _u4952))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zle__int ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4955)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4955), _u4957)) )).
% 43.36/43.55 cnf(fact_zle__int-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4956), _u4958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4956)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4958))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_int__mult ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4959), _u4960)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4959)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4960))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zmult__int ( axiom ) converted to clauses:
% 43.36/43.55 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), _u4961)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4962)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4961), _u4962))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_int__1 ( axiom ) converted to clauses:
% 43.36/43.55 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)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ivl__disj__un_I8_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ivl__disj__un_I8_J-1, axiom, ( ~class_Orderings_Olinorder(_u4963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4963), _u4964), _u4965)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4963, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u4963), _u4964)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4963, _u4964), _u4965)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u4963), _u4965)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ivl__disj__int_I2_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ivl__disj__int_I2_J-1, axiom, ( ~class_Orderings_Oorder(_u4966) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4966, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u4966), _u4967)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4966, _u4967), _u4968)) = c_Orderings_Obot__class_Obot(tc_fun(_u4966, tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastLessThan__eq__iff ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastLessThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u4969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4970), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4972), _u4973)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4970), _u4971) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4972), _u4973)) | ( _u4970 = _u4972) )).
% 43.36/43.55 cnf(fact_atLeastLessThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u4969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4970), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4972), _u4973)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4970), _u4971) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4972), _u4973)) | ( _u4971 = _u4973) )).
% 43.36/43.55 cnf(fact_atLeastLessThan__eq__iff-3, axiom, ( ~class_Orderings_Olinorder(_u4969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4970), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4972), _u4973)) | ( _u4970 != _u4972) | ( _u4971 != _u4973) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4970), _u4971) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4972), _u4973)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastLessThan__inj_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastLessThan__inj_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u4974) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4974, _u4975), _u4976) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4974, _u4977), _u4978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4974), _u4975), _u4976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4974), _u4977), _u4978)) | ( _u4975 = _u4977) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastLessThan__inj_I2_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastLessThan__inj_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u4979) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4979, _u4980), _u4981) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4979, _u4982), _u4983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4979), _u4980), _u4981)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4979), _u4982), _u4983)) | ( _u4981 = _u4983) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_lessThan__0 ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_lessThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__graph_Oequations_I1_J ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__graph_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4984, _u4985, _u4986, _u4987, c_Orderings_Obot__class_Obot(tc_fun(_u4984, tc_HOL_Obool))), _u4987)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__graph_OemptyI ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__graph_OemptyI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4988, _u4989, _u4990, _u4991, c_Orderings_Obot__class_Obot(tc_fun(_u4988, tc_HOL_Obool))), _u4991)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_empty__fold__graphE ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_empty__fold__graphE-1, axiom, ( ( _u4996 = _u4995) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4992, _u4993, _u4994, _u4995, c_Orderings_Obot__class_Obot(tc_fun(_u4992, tc_HOL_Obool))), _u4996)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_fold__graph__imp__finite ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_fold__graph__imp__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4997, _u4998, _u4999, _u5000, _u5001), _u5002)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4997), _u5001)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_int__setsum ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_int__setsum-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5003, tc_Nat_Onat), _u5004), _u5005)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5003, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u5003), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5004)), _u5005)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_card__lessThan ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_card__lessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5006)) = _u5006) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_all__nat__less__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_all__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5008), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5013))) | hBOOL(hAPP(_u5015, _u5008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem103(_u5015, _u5013)), _u5013)) )).
% 43.36/43.55 cnf(fact_all__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5008), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5013))) | hBOOL(hAPP(_u5015, _u5008)) | ~hBOOL(hAPP(_u5015, skolem103(_u5015, _u5013))) )).
% 43.36/43.55 cnf(fact_all__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5010), _u5014)) | hBOOL(hAPP(_u5016, _u5010)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem104(_u5016, _u5014)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5014))) )).
% 43.36/43.55 cnf(fact_all__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5010), _u5014)) | hBOOL(hAPP(_u5016, _u5010)) | ~hBOOL(hAPP(_u5016, skolem104(_u5016, _u5014))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_ex__nat__less__eq ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_ex__nat__less__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5017), _u5023)) | ~hBOOL(hAPP(_u5025, _u5017)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem105(_u5025, _u5023)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5023))) )).
% 43.36/43.55 cnf(fact_ex__nat__less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5017), _u5023)) | ~hBOOL(hAPP(_u5025, _u5017)) | hBOOL(hAPP(_u5025, skolem105(_u5025, _u5023))) )).
% 43.36/43.55 cnf(fact_ex__nat__less__eq-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5019), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5024))) | ~hBOOL(hAPP(_u5026, _u5019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem106(_u5026, _u5024)), _u5024)) )).
% 43.36/43.55 cnf(fact_ex__nat__less__eq-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5019), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5024))) | ~hBOOL(hAPP(_u5026, _u5019)) | hBOOL(hAPP(_u5026, skolem106(_u5026, _u5024))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_atLeastLessThan__add__Un ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_atLeastLessThan__add__Un-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5027), _u5028)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5027), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5028), _u5029)) = 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, _u5027), _u5028)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5028), _u5029)))) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_int__Suc0__eq__1 ( axiom ) converted to clauses:
% 43.36/43.55 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)) )).
% 43.36/43.55
% 43.36/43.55 % Formula: fact_zmult__zless__mono2__lemma ( axiom ) converted to clauses:
% 43.36/43.55 cnf(fact_zmult__zless__mono2__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5030), _u5031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5032)) | 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), _u5032)), _u5030)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5032)), _u5031))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zero__less__int__conv ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5034))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5034)) )).
% 43.36/43.56 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)), _u5035)) | 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), _u5035))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zero__le__imp__of__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zero__le__imp__of__nat-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5036) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5036), c_Groups_Ozero__class_Ozero(_u5036)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5036), _u5037))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__0__le__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5038) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5038), c_Groups_Ozero__class_Ozero(_u5038)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5038), _u5039))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zdiff__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zdiff__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5040), _u5041)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5041)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5040)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5041), _u5040))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__less__0__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5042), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5042), _u5043)), c_Groups_Ozero__class_Ozero(_u5042))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__0-1, axiom, ( ~class_Rings_Osemiring__1(_u5044) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5044), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u5044)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastLessThanSuc__atLeastAtMost ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastLessThanSuc__atLeastAtMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5045), hAPP(c_Nat_OSuc, _u5046)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5045, _u5046)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__less__imp__less ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5047), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5047), _u5048)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5047), _u5049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5048), _u5049)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_less__imp__of__nat__less ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_less__imp__of__nat__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5051), _u5052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5050), _u5051)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5050), _u5052))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__less__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), _u5054)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5054), _u5055)) )).
% 43.36/43.56 cnf(fact_of__nat__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5054), _u5055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), _u5054)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), _u5055))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__le__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__le__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5056), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5056), _u5057)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5056), _u5058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5057), _u5058)) )).
% 43.36/43.56 cnf(fact_of__nat__le__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u5056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5057), _u5058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5056), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5056), _u5057)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5056), _u5058))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__add ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__add-1, axiom, ( ~class_Rings_Osemiring__1(_u5059) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5059), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5060), _u5061)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5059), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5059), _u5060)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5059), _u5061))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__mult ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u5062) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5062), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5063), _u5064)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5062), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5062), _u5063)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5062), _u5064))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_subset__card__intvl__is__intvl ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_subset__card__intvl__is__intvl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5065), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5066), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5066), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u5065))))) | ( _u5065 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5066), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5066), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u5065)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__1-1, axiom, ( ~class_Rings_Osemiring__1(_u5067) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5067), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u5067)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastLessThan__singleton ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastLessThan__singleton-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5068), hAPP(c_Nat_OSuc, _u5068)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u5068), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__atLeastLessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__atLeastLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5069), _u5070)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5070), _u5069)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Ints__of__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Ints__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u5071) | hBOOL(hAPP(hAPP(c_member(_u5071), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5071), _u5072)), c_Int_Oring__1__class_OInts(_u5071))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__Suc__atLeastLessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__Suc__atLeastLessThan-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5073), _u5074)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5073)), hAPP(c_Nat_OSuc, _u5074))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastLessThan__empty ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u5075) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5075), _u5076), _u5077)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5075, _u5077), _u5076) = c_Orderings_Obot__class_Obot(tc_fun(_u5075, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastLessThan__empty__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastLessThan__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u5078) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5078, _u5079), _u5080) != c_Orderings_Obot__class_Obot(tc_fun(_u5078, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5078), _u5079), _u5080)) )).
% 43.36/43.56 cnf(fact_atLeastLessThan__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u5078) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5078), _u5079), _u5080)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5078, _u5079), _u5080) = c_Orderings_Obot__class_Obot(tc_fun(_u5078, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastLessThan__empty__iff2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastLessThan__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u5081) | ( c_Orderings_Obot__class_Obot(tc_fun(_u5081, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5081, _u5082), _u5083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5081), _u5082), _u5083)) )).
% 43.36/43.56 cnf(fact_atLeastLessThan__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u5081) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5081), _u5082), _u5083)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u5081, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5081, _u5082), _u5083)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastLessThan__subset__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastLessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u5084) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5084, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5084, _u5085), _u5086)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5084, _u5087), _u5088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5084), _u5086), _u5085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5084), _u5087), _u5085)) )).
% 43.36/43.56 cnf(fact_atLeastLessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u5084) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5084, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5084, _u5085), _u5086)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5084, _u5087), _u5088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5084), _u5086), _u5085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5084), _u5086), _u5088)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__shift__bounds__Suc__ivl ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__shift__bounds__Suc__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5089) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5089), _u5090), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5091)), hAPP(c_Nat_OSuc, _u5092))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5089), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5089, tc_Nat_Onat), _u5090), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5091), _u5092))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I17_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I17_J-1, axiom, ( ~class_Orderings_Olinorder(_u5093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5093), _u5094), _u5095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5093), _u5095), _u5096)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5093, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5093, _u5094), _u5095)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5093, _u5095), _u5096)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5093, _u5094), _u5096)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold__graph_OinsertI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold__graph_OinsertI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u5097), _u5098), _u5099)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5097, _u5100, _u5101, _u5102, _u5099), _u5103)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5097, _u5100, _u5101, _u5102, hAPP(hAPP(c_Set_Oinsert(_u5097), _u5098), _u5099)), hAPP(hAPP(_u5101, _u5098), _u5103))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__shift__bounds__nat__ivl ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__shift__bounds__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5104) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5104), _u5105), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5106), _u5107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5108), _u5107))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5104), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5104, tc_Nat_Onat), _u5105), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5107))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5106), _u5108))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__diff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__diff-1, axiom, ( ~class_Orderings_Olinorder(_u5109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5109), _u5110), _u5111)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5109, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5109, _u5110), _u5112)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5109, _u5110), _u5111)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5109, _u5111), _u5112)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I11_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I11_J-1, axiom, ( ~class_Orderings_Oorder(_u5113) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5113, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5113, _u5114), _u5115)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5113, _u5115), _u5116)) = c_Orderings_Obot__class_Obot(tc_fun(_u5113, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_greaterThanAtMost__empty ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_greaterThanAtMost__empty-1, axiom, ( ~class_Orderings_Oorder(_u5117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5117), _u5118), _u5119)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u5117, _u5119, _u5118) = c_Orderings_Obot__class_Obot(tc_fun(_u5117, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__setsum ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__setsum-1, axiom, ( ~class_Rings_Osemiring__1(_u5120) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5120), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5121, tc_Nat_Onat), _u5122), _u5123)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5121, _u5120), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5120, _u5121), c_Nat_Osemiring__1__class_Oof__nat(_u5120)), _u5122)), _u5123)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_greaterThanAtMost__empty__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_greaterThanAtMost__empty__iff-1, axiom, ( ~class_Orderings_Oorder(_u5124) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u5124, _u5125, _u5126) != c_Orderings_Obot__class_Obot(tc_fun(_u5124, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5124), _u5125), _u5126)) )).
% 43.36/43.56 cnf(fact_greaterThanAtMost__empty__iff-2, axiom, ( ~class_Orderings_Oorder(_u5124) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5124), _u5125), _u5126)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u5124, _u5125, _u5126) = c_Orderings_Obot__class_Obot(tc_fun(_u5124, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_greaterThanAtMost__empty__iff2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_greaterThanAtMost__empty__iff2-1, axiom, ( ~class_Orderings_Oorder(_u5127) | ( c_Orderings_Obot__class_Obot(tc_fun(_u5127, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u5127, _u5128, _u5129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5127), _u5128), _u5129)) )).
% 43.36/43.56 cnf(fact_greaterThanAtMost__empty__iff2-2, axiom, ( ~class_Orderings_Oorder(_u5127) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5127), _u5128), _u5129)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u5127, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u5127, _u5128, _u5129)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__add__atLeastLessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__add__atLeastLessThan-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5130)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5131), _u5132)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5131), _u5130)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5132), _u5130))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_lessThan__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_lessThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5133)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u5133), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5133))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I20_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I20_J-1, axiom, ( ~class_Orderings_Olinorder(_u5134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), _u5135), _u5136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), _u5136), _u5137)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5134, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5134, _u5135, _u5136)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5134, _u5136, _u5137)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u5134, _u5135, _u5137)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I14_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I14_J-1, axiom, ( ~class_Orderings_Oorder(_u5138) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5138, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5138, _u5139, _u5140)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5138, _u5140, _u5141)) = c_Orderings_Obot__class_Obot(tc_fun(_u5138, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastSucAtMost__greaterThanAtMost ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastSucAtMost__greaterThanAtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5142), _u5143) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u5142, _u5143)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_lessThan__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_lessThan__iff-1, axiom, ( ~class_Orderings_Oord(_u5144) | ~hBOOL(hAPP(hAPP(c_member(_u5144), _u5145), hAPP(c_SetInterval_Oord__class_OlessThan(_u5144), _u5146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5144), _u5145), _u5146)) )).
% 43.36/43.56 cnf(fact_lessThan__iff-2, axiom, ( ~class_Orderings_Oord(_u5144) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5144), _u5145), _u5146)) | hBOOL(hAPP(hAPP(c_member(_u5144), _u5145), hAPP(c_SetInterval_Oord__class_OlessThan(_u5144), _u5146))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_lessThan__subset__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_lessThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u5147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5147, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5147), _u5148)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5147), _u5149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5147), _u5148), _u5149)) )).
% 43.36/43.56 cnf(fact_lessThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u5147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5147), _u5148), _u5149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5147, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5147), _u5148)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5147), _u5149))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__add__nat__ivl ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__add__nat__ivl-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5151), _u5152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5152), _u5153)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5150), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5150), _u5154), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5151), _u5152))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5150), _u5154), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5152), _u5153))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5150), _u5154), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5151), _u5153))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__diff__nat__ivl ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__diff__nat__ivl-1, axiom, ( ~class_Groups_Oab__group__add(_u5155) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5156), _u5157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5157), _u5158)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5155), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5155), _u5159), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5156), _u5158))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5155), _u5159), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5156), _u5157))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5155), _u5159), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5157), _u5158))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__greaterThanAtMost ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__greaterThanAtMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u5160, _u5161)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5161), _u5160)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__Suc-1, axiom, ( ~class_Rings_Osemiring__1(_u5162) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5162), hAPP(c_Nat_OSuc, _u5163)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5162), c_Groups_Oone__class_Oone(_u5162)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5162), _u5163))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastLessThanSuc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastLessThanSuc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5166), _u5168)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5166), hAPP(c_Nat_OSuc, _u5168)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u5168), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5166), _u5168))) )).
% 43.36/43.56 cnf(fact_atLeastLessThanSuc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5167), _u5169)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5167), hAPP(c_Nat_OSuc, _u5169)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__diff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__diff-1, axiom, ( ~class_Rings_Oring__1(_u5170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5171), _u5172)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5170), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5172), _u5171)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5170), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5170), _u5172)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5170), _u5171))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_lessThan__strict__subset__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_lessThan__strict__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u5173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5173, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5173), _u5174)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5173), _u5175))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), _u5174), _u5175)) )).
% 43.36/43.56 cnf(fact_lessThan__strict__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u5173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), _u5174), _u5175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5173, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5173), _u5174)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5173), _u5175))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_arith__series__general ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_arith__series__general-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u5176) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5176), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5176), c_Groups_Oone__class_Oone(_u5176)), c_Groups_Oone__class_Oone(_u5176))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5176), hAPP(hAPP(c_COMBB(_u5176, _u5176, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u5176), _u5177)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u5176, _u5176), hAPP(hAPP(c_COMBB(_u5176, tc_fun(_u5176, _u5176), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u5176)), c_Nat_Osemiring__1__class_Oof__nat(_u5176))), _u5178))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5179))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5176), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5176), _u5179)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5176), _u5177), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5176), _u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5176), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5176), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5179), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u5178))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold__graph__insert__swap ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold__graph__insert__swap-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u5180) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5180, _u5180, c_Groups_Otimes__class_Otimes(_u5180), _u5181, _u5182), _u5183)) | hBOOL(hAPP(hAPP(c_member(_u5180), _u5181), _u5182)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5180, _u5180, c_Groups_Otimes__class_Otimes(_u5180), _u5184, hAPP(hAPP(c_Set_Oinsert(_u5180), _u5181), _u5182)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5180), _u5184), _u5183))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__constant ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__constant-1, axiom, ( ~class_Rings_Osemiring__1(_u5185) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5186, _u5185), hAPP(c_COMBK(_u5185, _u5186), _u5187)), _u5188) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5185), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5185), hAPP(c_Finite__Set_Ocard(_u5186), _u5188))), _u5187)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I21_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I21_J-1, axiom, ( ~class_Orderings_Olinorder(_u5189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5189), _u5190), _u5191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5189), _u5191), _u5192)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5189, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5189, _u5190), _u5191)), c_SetInterval_Oord__class_OatLeastAtMost(_u5189, _u5191, _u5192)) = c_SetInterval_Oord__class_OatLeastAtMost(_u5189, _u5190, _u5192)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I15_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I15_J-1, axiom, ( ~class_Orderings_Oorder(_u5193) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5193, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5193, _u5194), _u5195)), c_SetInterval_Oord__class_OatLeastAtMost(_u5193, _u5195, _u5196)) = c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__shift__lb__Suc0__0__upt ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__shift__lb__Suc0__0__upt-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5197) | ( hAPP(_u5198, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u5197)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5197), _u5198), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5199)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5197), _u5198), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5199))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__head__upt__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__head__upt__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5201), _u5202)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5200), _u5203), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5201), _u5202)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5200), hAPP(_u5203, _u5201)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5200), _u5203), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5201)), _u5202)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__0__less__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u5204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5204), c_Groups_Ozero__class_Ozero(_u5204)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5204), _u5205))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5205)) )).
% 43.36/43.56 cnf(fact_of__nat__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u5204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5204), c_Groups_Ozero__class_Ozero(_u5204)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5204), _u5205))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__lessThan__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__lessThan__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5206) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5206), _u5207), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5208))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5206), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5206), _u5207), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5208))), hAPP(_u5207, _u5208))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I22_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I22_J-1, axiom, ( ~class_Orderings_Olinorder(_u5209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5209), _u5210), _u5211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5209), _u5211), _u5212)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5209, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u5209, _u5210, _u5211)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5209, _u5211, _u5212)) = c_SetInterval_Oord__class_OatLeastAtMost(_u5209, _u5210, _u5212)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I16_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I16_J-1, axiom, ( ~class_Orderings_Oorder(_u5213) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5213, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u5213, _u5214, _u5215)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5213, _u5215, _u5216)) = c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_single__Diff__lessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_single__Diff__lessThan-1, axiom, ( ~class_Orderings_Oorder(_u5217) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5217, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u5217), _u5218), c_Orderings_Obot__class_Obot(tc_fun(_u5217, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u5217), _u5218)) = hAPP(hAPP(c_Set_Oinsert(_u5217), _u5218), c_Orderings_Obot__class_Obot(tc_fun(_u5217, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I4_J-1, axiom, ( ~class_Orderings_Oorder(_u5219) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5219, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5219), _u5220)), c_SetInterval_Oord__class_OatLeastAtMost(_u5219, _u5220, _u5221)) = c_Orderings_Obot__class_Obot(tc_fun(_u5219, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Diff1__fold__graph ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Diff1__fold__graph-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5222, _u5223, _u5224, _u5225, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5222, tc_HOL_Obool)), _u5226), hAPP(hAPP(c_Set_Oinsert(_u5222), _u5227), c_Orderings_Obot__class_Obot(tc_fun(_u5222, tc_HOL_Obool))))), _u5228)) | ~hBOOL(hAPP(hAPP(c_member(_u5222), _u5227), _u5226)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5222, _u5223, _u5224, _u5225, _u5226), hAPP(hAPP(_u5224, _u5227), _u5228))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__op__ivl__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__op__ivl__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5230), _u5231)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5229), _u5232), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5231), hAPP(c_Nat_OSuc, _u5230))) = c_Groups_Ozero__class_Ozero(_u5229)) )).
% 43.36/43.56 cnf(fact_setsum__op__ivl__Suc-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5230), _u5231)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5229), _u5232), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5231), hAPP(c_Nat_OSuc, _u5230))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5229), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5229), _u5232), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5231), _u5230))), hAPP(_u5232, _u5230))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_lessThan__Suc__eq__insert__0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_lessThan__Suc__eq__insert__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5233)) = 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), _u5233)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__minus__const__atLeastLessThan__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__minus__const__atLeastLessThan__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5237), _u5239)) | ( 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)), _u5237)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5241), _u5239)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5241), _u5237)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5239), _u5237))) )).
% 43.36/43.56 cnf(fact_image__minus__const__atLeastLessThan__nat-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5238), _u5240)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5242), _u5240)) | ( 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)), _u5238)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5242), _u5240)) = 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)))) )).
% 43.36/43.56 cnf(fact_image__minus__const__atLeastLessThan__nat-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5238), _u5240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5242), _u5240)) | ( 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)), _u5238)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5242), _u5240)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_semiring__1__class_Oof__nat__code ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_semiring__1__class_Oof__nat__code-1, axiom, ( ~class_Rings_Osemiring__1(_u5243) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5243), _u5244) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5243, hAPP(hAPP(c_COMBC(_u5243, _u5243, _u5243), c_Groups_Oplus__class_Oplus(_u5243)), c_Groups_Oone__class_Oone(_u5243)), _u5244, c_Groups_Ozero__class_Ozero(_u5243))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zdiff__int__split ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zdiff__int__split-1, axiom, ( ~hBOOL(hAPP(_u5248, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5250), _u5252)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5252), _u5250)) | hBOOL(hAPP(_u5248, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5250)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5252)))) )).
% 43.36/43.56 cnf(fact_zdiff__int__split-2, axiom, ( ~hBOOL(hAPP(_u5248, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5250), _u5252)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5250), _u5252)) | hBOOL(hAPP(_u5248, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56 cnf(fact_zdiff__int__split-3, axiom, ( hBOOL(hAPP(_u5249, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5251), _u5253)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5253), _u5251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5251), _u5253)) )).
% 43.36/43.56 cnf(fact_zdiff__int__split-4, axiom, ( hBOOL(hAPP(_u5249, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5251), _u5253)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5253), _u5251)) | ~hBOOL(hAPP(_u5249, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56 cnf(fact_zdiff__int__split-5, axiom, ( hBOOL(hAPP(_u5249, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5251), _u5253)))) | ~hBOOL(hAPP(_u5249, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5251)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5253)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5251), _u5253)) )).
% 43.36/43.56 cnf(fact_zdiff__int__split-6, axiom, ( hBOOL(hAPP(_u5249, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5251), _u5253)))) | ~hBOOL(hAPP(_u5249, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5251)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5253)))) | ~hBOOL(hAPP(_u5249, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1Set_Ointros ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1Set_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5254, _u5254, _u5255, _u5256, _u5257), _u5258)) | hBOOL(hAPP(hAPP(c_member(_u5254), _u5256), _u5257)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5254, _u5255, hAPP(hAPP(c_Set_Oinsert(_u5254), _u5256), _u5257)), _u5258)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__bounded ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__bounded-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5260) | ~class_Rings_Osemiring__1(_u5260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5260), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5261, _u5260), _u5263), _u5262)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5260), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5260), hAPP(c_Finite__Set_Ocard(_u5261), _u5262))), _u5264))) | hBOOL(hAPP(hAPP(c_member(_u5261), skolem107(_u5264, _u5263, _u5262, _u5261, _u5260)), _u5262)) )).
% 43.36/43.56 cnf(fact_setsum__bounded-2, axiom, ( ~class_Groups_Oordered__ab__semigroup__add(_u5260) | ~class_Rings_Osemiring__1(_u5260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5260), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5261, _u5260), _u5263), _u5262)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5260), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5260), hAPP(c_Finite__Set_Ocard(_u5261), _u5262))), _u5264))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5260), hAPP(_u5263, skolem107(_u5264, _u5263, _u5262, _u5261, _u5260))), _u5264)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I19_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I19_J-1, axiom, ( ~class_Orderings_Olinorder(_u5265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5265), _u5266), _u5267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5265), _u5267), _u5268)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5265, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5265, _u5266, _u5267)), c_SetInterval_Oord__class_OatLeastAtMost(_u5265, _u5267, _u5268)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u5265, _u5266, _u5268)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I4_J-1, axiom, ( ~class_Orderings_Olinorder(_u5269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5269), _u5270), _u5271)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5269, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5269, _u5270, _u5271)), hAPP(hAPP(c_Set_Oinsert(_u5269), _u5271), c_Orderings_Obot__class_Obot(tc_fun(_u5269, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u5269, _u5270, _u5271)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I18_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I18_J-1, axiom, ( ~class_Orderings_Olinorder(_u5272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5272), _u5273), _u5274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5272), _u5274), _u5275)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5272, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u5272, _u5273, _u5274)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5272, _u5274, _u5275)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5272, _u5273), _u5275)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__greaterThanLessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__greaterThanLessThan-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u5276, _u5277))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastPlusOneAtMost__greaterThanAtMost__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastPlusOneAtMost__greaterThanAtMost__int-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5278), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5279) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u5278, _u5279)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastLessThanPlusOne__atLeastAtMost__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastLessThanPlusOne__atLeastAtMost__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5280), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5281), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5280, _u5281)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__add__int__atLeastLessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__add__int__atLeastLessThan-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Int_Oint, hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_Int_Oint, tc_Int_Oint), c_Groups_Oplus__class_Oplus(tc_Int_Oint)), _u5282)), 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), _u5283), _u5282))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5282), _u5283)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zle__iff__zadd ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zle__iff__zadd-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5288), _u5290)) | ( _u5290 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5288), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem108(_u5290, _u5288)))) )).
% 43.36/43.56 cnf(fact_zle__iff__zadd-2, axiom, ( ( _u5291 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5289), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5289), _u5291)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zero__zle__int ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5292))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_int__int__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_int__int__eq-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5295) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5297)) | ( _u5295 = _u5297) )).
% 43.36/43.56 cnf(fact_int__int__eq-2, axiom, ( ( _u5296 != _u5298) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5296) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5298)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_int__less__0__conv ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5299)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastPlusOneLessThan__greaterThanLessThan__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastPlusOneLessThan__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5300), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5301) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u5300, _u5301)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__atLeastZeroLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5302))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_odd__less__0 ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5304)), _u5304)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5304), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56 cnf(fact_odd__less__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5305), 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)), _u5305)), _u5305)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_le__imp__0__less ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5306)) | 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)), _u5306))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zless__add1__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zless__add1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5309), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5311), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5309), _u5311)) | ( _u5309 = _u5311) )).
% 43.36/43.56 cnf(fact_zless__add1__eq-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5310), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5312), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5310), _u5312)) )).
% 43.36/43.56 cnf(fact_zless__add1__eq-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5310), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5312), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u5310 != _u5312) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zle__add1__eq__le ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zle__add1__eq__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5317), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5315), _u5317)) )).
% 43.36/43.56 cnf(fact_zle__add1__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5316), _u5318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5318), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_add1__zle__eq ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5321), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5321), _u5323)) )).
% 43.36/43.56 cnf(fact_add1__zle__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5322), _u5324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5322), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5324)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zless__imp__add1__zle ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zless__imp__add1__zle-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5325), _u5326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5325), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5326)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_odd__nonzero ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5327)), _u5327) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_int__0__neq__1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_int__0__neq__1-1, axiom, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_int__one__le__iff__zero__less ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5329)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5329)) )).
% 43.36/43.56 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)), _u5330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5330)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zle__diff1__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zle__diff1__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5333), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5335), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5333), _u5335)) )).
% 43.36/43.56 cnf(fact_zle__diff1__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5334), _u5336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5334), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5336), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_int__0__less__1 ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_less__bin__lemma ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_less__bin__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5339), _u5341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5339), _u5341)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56 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), _u5340), _u5342)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5340), _u5342)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zless__linear ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zless__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5343), _u5344)) | ( _u5343 = _u5344) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5344), _u5343)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zless__le ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zless__le-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5347), _u5349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5347), _u5349)) )).
% 43.36/43.56 cnf(fact_zless__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5347), _u5349)) | ( _u5347 != _u5349) )).
% 43.36/43.56 cnf(fact_zless__le-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5348), _u5350)) | ( _u5348 = _u5350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5348), _u5350)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zle__antisym ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zle__antisym-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5351), _u5352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5352), _u5351)) | ( _u5351 = _u5352) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zle__trans ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zle__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5353), _u5354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5354), _u5355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5353), _u5355)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zle__linear ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zle__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5356), _u5357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5357), _u5356)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zle__refl ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zle__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5358), _u5358)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__0__right ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zadd__0__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5359), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u5359) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zadd__0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5360) = _u5360) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__assoc ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5361), _u5362)), _u5363) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5361), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5362), _u5363))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__left__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zadd__left__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5364), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5365), _u5366)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5364), _u5366))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zadd__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5367), _u5368) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5368), _u5367)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__left__mono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zadd__left__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5369), _u5370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5371), _u5369)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5371), _u5370))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__zless__mono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zadd__zless__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5372), _u5373)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), _u5375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5372), _u5374)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5373), _u5375))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__strict__right__mono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zadd__strict__right__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5376), _u5377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5376), _u5378)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5377), _u5378))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_simp__from__to ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_simp__from__to-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5381), _u5383)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5383, _u5381) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 43.36/43.56 cnf(fact_simp__from__to-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5382), _u5384)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5384, _u5382) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u5384), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5384), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5382))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zmult__1__right ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zmult__1__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5385), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u5385) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zmult__1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zmult__1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5386) = _u5386) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_pos__zmult__eq__1__iff ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5387)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5387), _u5388) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5387 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.36/43.56 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)), _u5387)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5387), _u5388) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5388 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.36/43.56 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)), _u5387)) | ( _u5387 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5388 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5387), _u5388) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zmult__zless__mono2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zmult__zless__mono2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5389), _u5390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5391), _u5389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5391), _u5390))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zdiff__zmult__distrib ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5392), _u5393)), _u5394) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5392), _u5394)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5393), _u5394))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zdiff__zmult__distrib2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zdiff__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5395), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5396), _u5397)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5395), _u5396)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5395), _u5397))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zmult__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zmult__commute-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5398), _u5399) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5399), _u5398)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zmult__assoc ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5400), _u5401)), _u5402) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5401), _u5402))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__zmult__distrib ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5403), _u5404)), _u5405) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5403), _u5405)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5404), _u5405))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zadd__zmult__distrib2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zadd__zmult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5406), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5407), _u5408)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5406), _u5407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5406), _u5408))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeastSucLessThan__greaterThanLessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeastSucLessThan__greaterThanLessThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5409)), _u5410) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u5409, _u5410)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1Set__nonempty ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1Set__nonempty-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5411, _u5412, _u5413), _u5414)) | ( _u5413 != c_Orderings_Obot__class_Obot(tc_fun(_u5411, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_empty__fold1SetE ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_empty__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5415, _u5416, c_Orderings_Obot__class_Obot(tc_fun(_u5415, tc_HOL_Obool))), _u5417)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_greaterThanLessThan__empty ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_greaterThanLessThan__empty-1, axiom, ( ~class_Orderings_Oorder(_u5418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5418), _u5419), _u5420)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u5418, _u5420, _u5419) = c_Orderings_Obot__class_Obot(tc_fun(_u5418, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__aux_Osimps_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__aux_Osimps_I1_J-1, axiom, ( ~class_Rings_Osemiring__1(_u5421) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u5421, _u5422, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5423) = _u5423) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_of__nat__aux_Osimps_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_of__nat__aux_Osimps_I2_J-1, axiom, ( ~class_Rings_Osemiring__1(_u5424) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u5424, _u5425, hAPP(c_Nat_OSuc, _u5426), _u5427) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5424, _u5425, _u5426, hAPP(_u5425, _u5427))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1Set__sing ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1Set__sing-1, axiom, ( ( _u5436 = _u5438) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5432, _u5434, hAPP(hAPP(c_Set_Oinsert(_u5432), _u5436), c_Orderings_Obot__class_Obot(tc_fun(_u5432, tc_HOL_Obool)))), _u5438)) )).
% 43.36/43.56 cnf(fact_fold1Set__sing-2, axiom, ( ( _u5437 != _u5439) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5433, _u5435, hAPP(hAPP(c_Set_Oinsert(_u5433), _u5437), c_Orderings_Obot__class_Obot(tc_fun(_u5433, tc_HOL_Obool)))), _u5439)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I12_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I12_J-1, axiom, ( ~class_Orderings_Oorder(_u5440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5440, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u5440, _u5441, _u5442)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5440, _u5442, _u5443)) = c_Orderings_Obot__class_Obot(tc_fun(_u5440, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I13_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I13_J-1, axiom, ( ~class_Orderings_Oorder(_u5444) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5444, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5444, _u5445, _u5446)), c_SetInterval_Oord__class_OatLeastAtMost(_u5444, _u5446, _u5447)) = c_Orderings_Obot__class_Obot(tc_fun(_u5444, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I9_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I9_J-1, axiom, ( ~class_Orderings_Oorder(_u5448) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5448, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5448, _u5449, _u5450)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5448, _u5450), _u5451)) = c_Orderings_Obot__class_Obot(tc_fun(_u5448, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__greaterThanLessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__greaterThanLessThan-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u5452, _u5453)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5453), hAPP(c_Nat_OSuc, _u5452))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I10_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I10_J-1, axiom, ( ~class_Orderings_Oorder(_u5454) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5454, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5454, _u5455, _u5456)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5454, _u5456, _u5457)) = c_Orderings_Obot__class_Obot(tc_fun(_u5454, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I15_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I15_J-1, axiom, ( ~class_Orderings_Olinorder(_u5458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5459), _u5460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5458), _u5460), _u5461)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5458, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5458, _u5459, _u5460)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5458, _u5460), _u5461)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u5458, _u5459, _u5461)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I16_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I16_J-1, axiom, ( ~class_Orderings_Olinorder(_u5462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5462), _u5463), _u5464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5462), _u5464), _u5465)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5462, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5462, _u5463, _u5464)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5462, _u5464, _u5465)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u5462, _u5463, _u5465)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I3_J-1, axiom, ( ~class_Orderings_Olinorder(_u5466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5466), _u5467), _u5468)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5466, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u5466), _u5467), c_Orderings_Obot__class_Obot(tc_fun(_u5466, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5466, _u5467, _u5468)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5466, _u5467), _u5468)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_self__quotient__aux1 ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5469)) | ( _u5469 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5470), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5469), _u5471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5470), _u5469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5471)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_self__quotient__aux2 ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5472)) | ( _u5472 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5472), _u5474))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5474), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_q__pos__lemma ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5475), _u5476)), _u5477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5477), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5476)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_q__neg__lemma ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5478), _u5479)), _u5480)), 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)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5479), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_unique__quotient__lemma ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5481), _u5482)), _u5483)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5481), _u5484)), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5483), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5485), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5482), _u5484)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zdiv__mono2__lemma ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5486), _u5487)), _u5488) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5489), _u5490)), _u5491)) | ~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), _u5489), _u5490)), _u5491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5491), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5489), _u5486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5487), _u5490)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_unique__quotient__lemma__neg ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5492), _u5493)), _u5494)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5492), _u5495)), _u5496))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5496), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5492), _u5496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5492), _u5494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5495), _u5493)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__atLeastAtMost__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__atLeastAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5497, _u5498))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__atLeastLessThan__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__atLeastLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5499), _u5500))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__greaterThanLessThan__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__greaterThanLessThan__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u5501, _u5502))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__greaterThanAtMost__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__greaterThanAtMost__int-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u5503, _u5504))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zdiv__mono2__neg__lemma ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5505), _u5506)), _u5507) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5508), _u5509)), _u5510)) | ~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), _u5508), _u5509)), _u5510)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5507), _u5505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5508), _u5505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5509), _u5506)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__set__relations_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5512)) | 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)), _u5512))) )).
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I1_J-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5513))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5513)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__numerals_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5514)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5515)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5514), _u5515))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5516)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5517)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5516), _u5517))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__relations_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5520)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5520), _u5522)) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__relations_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5521), _u5523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5521)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5523))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__relations_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5526)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5526), _u5528)) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5527), _u5529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5527)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5529))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__set__relations_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5532), _u5534)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5532)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5534))) )).
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5533)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5535))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5533), _u5535)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__set__relations_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I3_J-1, axiom, ( ( _u5538 != _u5540) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5538) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5540)) )).
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I3_J-2, axiom, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5539) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5541)) | ( _u5539 = _u5541) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__set__relations_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5544), _u5546)) | 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)), _u5544)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5546))) )).
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5545)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5545), _u5547)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__relations_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__relations_I1_J-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5550) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5552)) | ( _u5550 = _u5552) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__relations_I1_J-2, axiom, ( ( _u5551 != _u5553) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5551) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5553)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u5554) = 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)), _u5554))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__set__relations_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5557), _u5559)) | 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)), _u5557)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5559))) )).
% 43.36/43.56 cnf(fact_transfer__nat__int__set__relations_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5558)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5558), _u5560)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__numerals_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5562)) | 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), _u5561), _u5562))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5563))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__quantifiers_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5564)) | ~hBOOL(hAPP(_u5569, _u5564)) | hBOOL(hAPP(_u5569, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem109(_u5569)))) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__quantifiers_I2_J-2, axiom, ( ~hBOOL(hAPP(_u5570, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem110(_u5570))) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__quantifiers_I2_J-3, axiom, ( ~hBOOL(hAPP(_u5570, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5566))) | hBOOL(hAPP(_u5570, skolem110(_u5570))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__quantifiers_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__quantifiers_I1_J-1, axiom, ( hBOOL(hAPP(_u5576, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem111(_u5576))) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__quantifiers_I1_J-2, axiom, ( hBOOL(hAPP(_u5576, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5572))) | ~hBOOL(hAPP(_u5576, skolem111(_u5576))) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__quantifiers_I1_J-3, axiom, ( ~hBOOL(hAPP(_u5577, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem112(_u5577)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5574)) | hBOOL(hAPP(_u5577, _u5574)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5578), _u5579))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_bset_I8_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_bset_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5583)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5584), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5582), _u5583))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem113(_u5585, _u5584, _u5583, _u5582)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5583))) )).
% 43.36/43.56 cnf(fact_bset_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5583)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5584), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5582), _u5583))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem114(_u5585, _u5584, _u5583, _u5582)), _u5585)) )).
% 43.36/43.56 cnf(fact_bset_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5583)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5584), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5582), _u5583))) | ( _u5582 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem114(_u5585, _u5584, _u5583, _u5582)), skolem113(_u5585, _u5584, _u5583, _u5582))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_aset_I6_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_aset_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5589)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5590), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5588), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5588), _u5589)), _u5590)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem115(_u5591, _u5590, _u5589, _u5588)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5589))) )).
% 43.36/43.56 cnf(fact_aset_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5589)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5590), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5588), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5588), _u5589)), _u5590)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem116(_u5591, _u5590, _u5589, _u5588)), _u5591)) )).
% 43.36/43.56 cnf(fact_aset_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5589)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5590), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5588), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5588), _u5589)), _u5590)) | ( _u5588 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem116(_u5591, _u5590, _u5589, _u5588)), skolem115(_u5591, _u5590, _u5589, _u5588))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_bset_I6_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_bset_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5594), _u5597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5594), _u5595)), _u5597)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem117(_u5597, _u5596, _u5595, _u5594)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5595))) )).
% 43.36/43.56 cnf(fact_bset_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5594), _u5597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5594), _u5595)), _u5597)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem118(_u5597, _u5596, _u5595, _u5594)), _u5596)) )).
% 43.36/43.56 cnf(fact_bset_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5594), _u5597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5594), _u5595)), _u5597)) | ( _u5594 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem118(_u5597, _u5596, _u5595, _u5594)), skolem117(_u5597, _u5596, _u5595, _u5594))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_aset_I8_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_aset_I8_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5600), _u5601))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem119(_u5603, _u5602, _u5601, _u5600)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5601))) )).
% 43.36/43.56 cnf(fact_aset_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5600), _u5601))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem120(_u5603, _u5602, _u5601, _u5600)), _u5602)) )).
% 43.36/43.56 cnf(fact_aset_I8_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5600), _u5601))) | ( _u5600 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u5603, _u5602, _u5601, _u5600)), skolem119(_u5603, _u5602, _u5601, _u5600))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_periodic__finite__ex ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_periodic__finite__ex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u5611, _u5610)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u5611, _u5610)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(_u5611, skolem125(_u5611, _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(_u5611, skolem125(_u5611, _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u5611, _u5610)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-6, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u5611, _u5610)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-7, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(_u5611, skolem125(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-8, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(_u5611, skolem125(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-9, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5608), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, _u5608)) | hBOOL(hAPP(_u5611, skolem126(_u5611, _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-10, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5608), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, _u5608)) | hBOOL(hAPP(_u5611, skolem126(_u5611, _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-11, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5608), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, _u5608)) | hBOOL(hAPP(_u5611, skolem126(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.36/43.56 cnf(fact_periodic__finite__ex-12, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5608), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, _u5608)) | hBOOL(hAPP(_u5611, skolem126(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_bset_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_bset_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5618)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5620)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), _u5618) = _u5619) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem127(_u5620, _u5619, _u5618)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5618))) )).
% 43.36/43.56 cnf(fact_bset_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5618)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5620)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), _u5618) = _u5619) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem128(_u5620, _u5619, _u5618)), _u5620)) )).
% 43.36/43.56 cnf(fact_bset_I3_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5618)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5620)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), _u5618) = _u5619) | ( _u5619 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem128(_u5620, _u5619, _u5618)), skolem127(_u5620, _u5619, _u5618))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_aset_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_aset_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5624)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5625), _u5626)) | ( _u5623 = _u5625) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5623), _u5624) != _u5625) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem129(_u5626, _u5625, _u5624, _u5623)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5624))) )).
% 43.36/43.56 cnf(fact_aset_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5624)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5625), _u5626)) | ( _u5623 = _u5625) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5623), _u5624) != _u5625) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem130(_u5626, _u5625, _u5624, _u5623)), _u5626)) )).
% 43.36/43.56 cnf(fact_aset_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5624)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5625), _u5626)) | ( _u5623 = _u5625) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5623), _u5624) != _u5625) | ( _u5623 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem130(_u5626, _u5625, _u5624, _u5623)), skolem129(_u5626, _u5625, _u5624, _u5623))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_bset_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_bset_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5630)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5631), _u5632)) | ( _u5629 = _u5631) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5629), _u5630) != _u5631) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem131(_u5632, _u5631, _u5630, _u5629)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5630))) )).
% 43.36/43.56 cnf(fact_bset_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5630)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5631), _u5632)) | ( _u5629 = _u5631) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5629), _u5630) != _u5631) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem132(_u5632, _u5631, _u5630, _u5629)), _u5632)) )).
% 43.36/43.56 cnf(fact_bset_I4_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5630)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5631), _u5632)) | ( _u5629 = _u5631) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5629), _u5630) != _u5631) | ( _u5629 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem132(_u5632, _u5631, _u5630, _u5629)), skolem131(_u5632, _u5631, _u5630, _u5629))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_bset_I7_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_bset_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5636)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5637), _u5638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), _u5635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5635), _u5636))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem133(_u5638, _u5637, _u5636, _u5635)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5636))) )).
% 43.36/43.56 cnf(fact_bset_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5636)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5637), _u5638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), _u5635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5635), _u5636))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem134(_u5638, _u5637, _u5636, _u5635)), _u5638)) )).
% 43.36/43.56 cnf(fact_bset_I7_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5636)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5637), _u5638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), _u5635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5635), _u5636))) | ( _u5635 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem134(_u5638, _u5637, _u5636, _u5635)), skolem133(_u5638, _u5637, _u5636, _u5635))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_aset_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_aset_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5642)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5643), _u5644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5641), _u5643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5641), _u5642)), _u5643)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem135(_u5644, _u5643, _u5642, _u5641)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5642))) )).
% 43.36/43.56 cnf(fact_aset_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5642)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5643), _u5644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5641), _u5643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5641), _u5642)), _u5643)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem136(_u5644, _u5643, _u5642, _u5641)), _u5644)) )).
% 43.36/43.56 cnf(fact_aset_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5642)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5643), _u5644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5641), _u5643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5641), _u5642)), _u5643)) | ( _u5641 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem136(_u5644, _u5643, _u5642, _u5641)), skolem135(_u5644, _u5643, _u5642, _u5641))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_aset_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_aset_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5647)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5649)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), _u5647) = _u5648) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem137(_u5649, _u5648, _u5647)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5647))) )).
% 43.36/43.56 cnf(fact_aset_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5647)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5649)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), _u5647) = _u5648) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem138(_u5649, _u5648, _u5647)), _u5649)) )).
% 43.36/43.56 cnf(fact_aset_I3_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5647)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5649)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), _u5647) = _u5648) | ( _u5648 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem138(_u5649, _u5648, _u5647)), skolem137(_u5649, _u5648, _u5647))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_aset_I7_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_aset_I7_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), _u5652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5652), _u5653))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem139(_u5655, _u5654, _u5653, _u5652)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5653))) )).
% 43.36/43.56 cnf(fact_aset_I7_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), _u5652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5652), _u5653))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem140(_u5655, _u5654, _u5653, _u5652)), _u5654)) )).
% 43.36/43.56 cnf(fact_aset_I7_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), _u5652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5652), _u5653))) | ( _u5652 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem140(_u5655, _u5654, _u5653, _u5652)), skolem139(_u5655, _u5654, _u5653, _u5652))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_bset_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_bset_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5658), _u5661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5658), _u5659)), _u5661)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem141(_u5661, _u5660, _u5659, _u5658)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5659))) )).
% 43.36/43.56 cnf(fact_bset_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5658), _u5661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5658), _u5659)), _u5661)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem142(_u5661, _u5660, _u5659, _u5658)), _u5660)) )).
% 43.36/43.56 cnf(fact_bset_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5658), _u5661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5658), _u5659)), _u5661)) | ( _u5658 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem142(_u5661, _u5660, _u5659, _u5658)), skolem141(_u5661, _u5660, _u5659, _u5658))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_tsub__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_tsub__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5664), _u5666)) | ( c_Nat__Transfer_Otsub(_u5666, _u5664) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5666), _u5664)) )).
% 43.36/43.56 cnf(fact_tsub__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5665), _u5667)) | ( c_Nat__Transfer_Otsub(_u5667, _u5665) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__atLeastZeroLessThan__int-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5668)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5668) = 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, _u5668)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_sum__diff__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_sum__diff__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u5670, skolem143(_u5672, _u5671, _u5670))), hAPP(_u5671, skolem143(_u5672, _u5671, _u5670)))) | ( 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), _u5671), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5672))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u5670), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5672))) = 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)), _u5671)), _u5670)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5672))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_decr__mult__lemma ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5677)) | ~hBOOL(hAPP(_u5676, _u5674)) | hBOOL(hAPP(_u5676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5677), _u5675)))) | hBOOL(hAPP(_u5676, skolem144(_u5677, _u5676, _u5675))) )).
% 43.36/43.56 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)), _u5675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5677)) | ~hBOOL(hAPP(_u5676, _u5674)) | hBOOL(hAPP(_u5676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5677), _u5675)))) | ~hBOOL(hAPP(_u5676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem144(_u5677, _u5676, _u5675)), _u5675))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_incr__mult__lemma ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5680)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5682)) | ~hBOOL(hAPP(_u5681, _u5679)) | hBOOL(hAPP(_u5681, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5682), _u5680)))) | hBOOL(hAPP(_u5681, skolem145(_u5682, _u5681, _u5680))) )).
% 43.36/43.56 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)), _u5680)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5682)) | ~hBOOL(hAPP(_u5681, _u5679)) | hBOOL(hAPP(_u5681, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5682), _u5680)))) | ~hBOOL(hAPP(_u5681, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem145(_u5682, _u5681, _u5680)), _u5680))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_nat__int-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5683)) = _u5683) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__0 ( axiom ) converted to clauses:
% 43.36/43.56 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)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__numerals_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5684)), hAPP(c_Int_Onat, _u5685)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u5684, _u5685))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_eq__nat__nat__iff ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5687)) | ( hAPP(c_Int_Onat, _u5686) != hAPP(c_Int_Onat, _u5687)) | ( _u5686 = _u5687) )).
% 43.36/43.56 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)), _u5686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5687)) | ( _u5686 != _u5687) | ( hAPP(c_Int_Onat, _u5686) = hAPP(c_Int_Onat, _u5687)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ex__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ex__nat-1, axiom, ( ~hBOOL(hAPP(_u5693, _u5688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem146(_u5693))) )).
% 43.36/43.56 cnf(fact_ex__nat-2, axiom, ( ~hBOOL(hAPP(_u5693, _u5688)) | hBOOL(hAPP(_u5693, hAPP(c_Int_Onat, skolem146(_u5693)))) )).
% 43.36/43.56 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)), _u5690)) | ~hBOOL(hAPP(_u5694, hAPP(c_Int_Onat, _u5690))) | hBOOL(hAPP(_u5694, skolem147(_u5694))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_all__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_all__nat-1, axiom, ( ~hBOOL(hAPP(_u5700, skolem148(_u5700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5696)) | hBOOL(hAPP(_u5700, hAPP(c_Int_Onat, _u5696))) )).
% 43.36/43.56 cnf(fact_all__nat-2, axiom, ( hBOOL(hAPP(_u5701, _u5698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem149(_u5701))) )).
% 43.36/43.56 cnf(fact_all__nat-3, axiom, ( hBOOL(hAPP(_u5701, _u5698)) | ~hBOOL(hAPP(_u5701, hAPP(c_Int_Onat, skolem149(_u5701)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__relations_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5703)) | ( hAPP(c_Int_Onat, _u5702) != hAPP(c_Int_Onat, _u5703)) | ( _u5702 = _u5703) )).
% 43.36/43.56 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)), _u5702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5703)) | ( _u5702 != _u5703) | ( hAPP(c_Int_Onat, _u5702) = hAPP(c_Int_Onat, _u5703)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__numerals_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__set__return__embed ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__set__return__embed-1, axiom, ( ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5704)) = _u5704) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5705), _u5706) = 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)), _u5705)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5706)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__0__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_nat__0__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u5708) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5708), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56 cnf(fact_nat__0__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5709), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u5709) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__le__0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_nat__le__0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u5710) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__mono__iff ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5712)), hAPP(c_Int_Onat, _u5711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5712), _u5711)) )).
% 43.36/43.56 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)), _u5711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5712), _u5711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5712)), hAPP(c_Int_Onat, _u5711))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zless__nat__conj ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zless__nat__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5715)), hAPP(c_Int_Onat, _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5717)) )).
% 43.36/43.56 cnf(fact_zless__nat__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5715)), hAPP(c_Int_Onat, _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5715), _u5717)) )).
% 43.36/43.56 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)), _u5718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5716), _u5718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5716)), hAPP(c_Int_Onat, _u5718))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__relations_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5719)), hAPP(c_Int_Onat, _u5720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5719), _u5720)) )).
% 43.36/43.56 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)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5719), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5719)), hAPP(c_Int_Onat, _u5720))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__1 ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_int__nat__eq ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5722)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u5722)) = _u5722) )).
% 43.36/43.56 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)), _u5723)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u5723)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_int__eq__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_int__eq__iff-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5726) != _u5728) | ( _u5726 = hAPP(c_Int_Onat, _u5728)) )).
% 43.36/43.56 cnf(fact_int__eq__iff-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5726) != _u5728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5728)) )).
% 43.36/43.56 cnf(fact_int__eq__iff-3, axiom, ( ( _u5727 != hAPP(c_Int_Onat, _u5729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5729)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5727) = _u5729) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__0__le ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5730)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u5730)) = _u5730) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zless__nat__eq__int__zless ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zless__nat__eq__int__zless-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5733), hAPP(c_Int_Onat, _u5735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5733)), _u5735)) )).
% 43.36/43.56 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), _u5734)), _u5736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5734), hAPP(c_Int_Onat, _u5736))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5737, _u5738) = 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), _u5737), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5738)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__sum__prod_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__nat__int__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5739) | ~class_Groups_Ocomm__monoid__mult(_u5739) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5739), _u5740), _u5741) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5739), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5739, tc_Int_Oint), _u5740), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5741))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__atLeastZeroLessThan__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__atLeastZeroLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5742)) = hAPP(c_Int_Onat, _u5742)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__atLeastLessThan__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__atLeastLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5743), _u5744)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5744), _u5743))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zero__less__nat__eq ( axiom ) converted to clauses:
% 43.36/43.56 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, _u5746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5746)) )).
% 43.36/43.56 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)), _u5747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u5747))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__less__eq__zless ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5748)), hAPP(c_Int_Onat, _u5749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5748), _u5749)) )).
% 43.36/43.56 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)), _u5748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5748), _u5749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5748)), hAPP(c_Int_Onat, _u5749))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__relations_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5750)), hAPP(c_Int_Onat, _u5751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5750), _u5751)) )).
% 43.36/43.56 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)), _u5750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5750), _u5751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5750)), hAPP(c_Int_Onat, _u5751))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__eq__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_nat__eq__iff-1, axiom, ( ( hAPP(c_Int_Onat, _u5754) != _u5756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5754)) | ( _u5754 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5756)) )).
% 43.36/43.56 cnf(fact_nat__eq__iff-2, axiom, ( ( hAPP(c_Int_Onat, _u5754) != _u5756) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5754)) | ( _u5756 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56 cnf(fact_nat__eq__iff-3, axiom, ( ( hAPP(c_Int_Onat, _u5755) = _u5757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5755)) | ( _u5757 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56 cnf(fact_nat__eq__iff-4, axiom, ( ( hAPP(c_Int_Onat, _u5755) = _u5757) | ( _u5755 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5755)) )).
% 43.36/43.56 cnf(fact_nat__eq__iff-5, axiom, ( ( hAPP(c_Int_Onat, _u5755) = _u5757) | ( _u5755 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5757)) | ( _u5757 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__eq__iff2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_nat__eq__iff2-1, axiom, ( ( _u5760 != hAPP(c_Int_Onat, _u5762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5762)) | ( _u5762 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5760)) )).
% 43.36/43.56 cnf(fact_nat__eq__iff2-2, axiom, ( ( _u5760 != hAPP(c_Int_Onat, _u5762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5762)) | ( _u5760 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56 cnf(fact_nat__eq__iff2-3, axiom, ( ( _u5761 = hAPP(c_Int_Onat, _u5763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5763)) | ( _u5761 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56 cnf(fact_nat__eq__iff2-4, axiom, ( ( _u5761 = hAPP(c_Int_Onat, _u5763)) | ( _u5763 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5763)) )).
% 43.36/43.56 cnf(fact_nat__eq__iff2-5, axiom, ( ( _u5761 = hAPP(c_Int_Onat, _u5763)) | ( _u5763 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5761)) | ( _u5761 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__le__eq__zle ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5764)), hAPP(c_Int_Onat, _u5765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5764), _u5765)) )).
% 43.36/43.56 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)), _u5764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5764), _u5765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5764)), hAPP(c_Int_Onat, _u5765))) )).
% 43.36/43.56 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)), _u5765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5764)), hAPP(c_Int_Onat, _u5765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5764), _u5765)) )).
% 43.36/43.56 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)), _u5765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5764), _u5765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5764)), hAPP(c_Int_Onat, _u5765))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_split__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_split__nat-1, axiom, ( ~hBOOL(hAPP(_u5770, hAPP(c_Int_Onat, _u5772))) | ( _u5772 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5766)) | hBOOL(hAPP(_u5770, _u5766)) )).
% 43.36/43.56 cnf(fact_split__nat-2, axiom, ( ~hBOOL(hAPP(_u5770, hAPP(c_Int_Onat, _u5772))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5772), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u5770, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.56 cnf(fact_split__nat-3, axiom, ( hBOOL(hAPP(_u5771, hAPP(c_Int_Onat, _u5773))) | ( _u5773 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem150(_u5773, _u5771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5773), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56 cnf(fact_split__nat-4, axiom, ( hBOOL(hAPP(_u5771, hAPP(c_Int_Onat, _u5773))) | ( _u5773 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem150(_u5773, _u5771))) | ~hBOOL(hAPP(_u5771, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.56 cnf(fact_split__nat-5, axiom, ( hBOOL(hAPP(_u5771, hAPP(c_Int_Onat, _u5773))) | ~hBOOL(hAPP(_u5771, skolem150(_u5773, _u5771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5773), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.56 cnf(fact_split__nat-6, axiom, ( hBOOL(hAPP(_u5771, hAPP(c_Int_Onat, _u5773))) | ~hBOOL(hAPP(_u5771, skolem150(_u5773, _u5771))) | ~hBOOL(hAPP(_u5771, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__add__distrib ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5775)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5774), _u5775)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5774)), hAPP(c_Int_Onat, _u5775))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5777)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5776)), hAPP(c_Int_Onat, _u5777)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5776), _u5777))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__mult__distrib ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5778)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5778), _u5779)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u5778)), hAPP(c_Int_Onat, _u5779))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5781)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u5780)), hAPP(c_Int_Onat, _u5781)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5780), _u5781))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5782), _u5783) = 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)), _u5782)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5783)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__diff__distrib ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5784)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5784), _u5785)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5785), _u5784)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5785)), hAPP(c_Int_Onat, _u5784))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__sum__prod2_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__nat__int__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5786, tc_Nat_Onat), _u5787), _u5788) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5786, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u5786), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5787)), _u5788))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__greaterThanAtMost__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__greaterThanAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u5789, _u5790)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5790), _u5789))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_one__less__nat__eq ( axiom ) converted to clauses:
% 43.36/43.56 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, _u5792))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5792)) )).
% 43.36/43.56 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)), _u5793)) | 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, _u5793))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__less__iff ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5794)), _u5795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5794), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5795))) )).
% 43.36/43.56 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)), _u5794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5794), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5795))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5794)), _u5795)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Suc__nat__eq__nat__zadd1 ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5796)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u5796)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5796))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u5797, _u5798))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_tsub__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_tsub__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5799), _u5800)) | ( c_Nat__Transfer_Otsub(_u5800, _u5799) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5800), _u5799)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5801), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5802)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5801), _u5802))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__atLeastAtMost__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__atLeastAtMost__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5803, _u5804)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5804), _u5803)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__greaterThanLessThan__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__greaterThanLessThan__int-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u5805, _u5806)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5806), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5805), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__aux__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_nat__aux__def-1, axiom, ( ( c_Int_Onat__aux(_u5807, _u5808) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5807)), _u5808)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__morphism__nat__int ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SetInterval_Otransfer__int__nat__set__functions ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SetInterval_Otransfer__int__nat__set__functions-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5809) | ~c_Nat__Transfer_Ois__nat(_u5810) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5809, _u5810) = 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, _u5809), hAPP(c_Int_Onat, _u5810)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5811) | ~c_Nat__Transfer_Onat__set(_u5812) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5811), _u5812) = 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), _u5811)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5812)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__set__relations_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5813) | ~c_Nat__Transfer_Onat__set(_u5814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5813), _u5814)) | 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), _u5813)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5814))) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I4_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u5813) | ~c_Nat__Transfer_Onat__set(_u5814) | ~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), _u5813)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5813), _u5814)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zero__less__imp__eq__int ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem151(_u5816))) )).
% 43.36/43.56 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)), _u5816)) | ( _u5816 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem151(_u5816))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5817) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5818), _u5817)) | c_Nat__Transfer_Ois__nat(_u5818) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SetInterval_Otransfer__int__nat__set__function__closures ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SetInterval_Otransfer__int__nat__set__function__closures-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5819) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5819, _u5820)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5821) | ~c_Nat__Transfer_Onat__set(_u5822) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5821), _u5822)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5823) | ~c_Nat__Transfer_Onat__set(_u5824) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5823), _u5824)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__set__relations_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I3_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5825) | ~c_Nat__Transfer_Onat__set(_u5826) | ( _u5825 != _u5826) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5825) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5826)) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I3_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u5825) | ~c_Nat__Transfer_Onat__set(_u5826) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5825) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5826)) | ( _u5825 = _u5826) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 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)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5827) | ~c_Nat__Transfer_Ois__nat(_u5828) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5827), _u5828)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5829)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J ( axiom ) converted to clauses:
% 43.36/43.56 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)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5830) | ~c_Nat__Transfer_Ois__nat(_u5831) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5830), _u5831)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5832) | ~c_Nat__Transfer_Ois__nat(_u5833) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5832, _u5833)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__set__relations_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5834) | ~c_Nat__Transfer_Onat__set(_u5835) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5834), _u5835)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u5834)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5835))) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I2_J-2, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5834) | ~c_Nat__Transfer_Onat__set(_u5835) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u5834)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5835))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5834), _u5835)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J-1, axiom, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__set__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_nat__set__def-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5839) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5836), _u5839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5836)) )).
% 43.36/43.56 cnf(fact_nat__set__def-2, axiom, ( c_Nat__Transfer_Onat__set(_u5840) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem152(_u5840)), _u5840)) )).
% 43.36/43.56 cnf(fact_nat__set__def-3, axiom, ( c_Nat__Transfer_Onat__set(_u5840) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem152(_u5840))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_is__nat__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_is__nat__def-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u5842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5842)) )).
% 43.36/43.56 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)), _u5843)) | c_Nat__Transfer_Ois__nat(_u5843) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J-1, axiom, ( c_Nat__Transfer_Onat__set(hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5844)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SetInterval_Otransfer__nat__int__set__function__closures ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SetInterval_Otransfer__nat__int__set__function__closures-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5845)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5845, _u5846)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5847) | ~c_Nat__Transfer_Onat__set(_u5848) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5847), _u5848) = 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), _u5847)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5848)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__set__return__embed ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__nat__int__set__return__embed-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5849) | ( 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), _u5849)) = _u5849) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5850) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5851), _u5850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5851)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__sum__prod_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__sum__prod_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5852) | ~class_Groups_Ocomm__monoid__mult(_u5852) | ~c_Nat__Transfer_Onat__set(_u5853) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5852), _u5854), _u5853) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5852), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u5852, tc_Nat_Onat), _u5854), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5853))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__set__relations_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u5855)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5855))) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I1_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u5855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5855))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u5855)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5856) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u5856) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5856))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__set__relations_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I5_J-1, axiom, ( ~c_Nat__Transfer_Onat__set(_u5857) | ~c_Nat__Transfer_Onat__set(_u5858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5857), _u5858)) | 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), _u5857)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5858))) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__set__relations_I5_J-2, axiom, ( ~c_Nat__Transfer_Onat__set(_u5857) | ~c_Nat__Transfer_Onat__set(_u5858) | ~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), _u5857)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5858))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5857), _u5858)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__int__nat__sum__prod2_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__int__nat__sum__prod2_I1_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5860, tc_Int_Oint), _u5862), _u5861) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5860, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u5860), c_Int_Onat), _u5862)), _u5861))) | hBOOL(hAPP(hAPP(c_member(_u5860), skolem153(_u5862, _u5861, _u5860)), _u5861)) )).
% 43.36/43.56 cnf(fact_transfer__int__nat__sum__prod2_I1_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5860, tc_Int_Oint), _u5862), _u5861) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5860, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u5860), c_Int_Onat), _u5862)), _u5861))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u5862, skolem153(_u5862, _u5861, _u5860))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SetInterval_Otransfer__nat__int__set__functions_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5863) = 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), _u5863)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I7_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I7_J-1, axiom, ( ~class_Orderings_Olinorder(_u5864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5864), _u5865), _u5866)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5864, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5864), _u5865)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5864, _u5865, _u5866)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u5864), _u5866)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I10_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I10_J-1, axiom, ( ~class_Orderings_Olinorder(_u5867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5867), _u5868), _u5869)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5867, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5867), _u5868)), c_SetInterval_Oord__class_OatLeastAtMost(_u5867, _u5868, _u5869)) = hAPP(c_SetInterval_Oord__class_OatMost(_u5867), _u5869)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u5870) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5870, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5870), _u5871)), hAPP(hAPP(c_Set_Oinsert(_u5870), _u5871), c_Orderings_Obot__class_Obot(tc_fun(_u5870, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u5870), _u5871)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_decr__lemma ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5873), 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), _u5873), _u5874))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5872))), _u5874)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__atMost ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__atMost-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5875))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__abs ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5876) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5876), hAPP(c_Groups_Oabs__class_Oabs(_u5876), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5877, _u5876), _u5878), _u5879))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5877, _u5876), hAPP(hAPP(c_COMBB(_u5876, _u5876, _u5877), c_Groups_Oabs__class_Oabs(_u5876)), _u5878)), _u5879))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__abs__ge__zero ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5880) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5880), c_Groups_Ozero__class_Ozero(_u5880)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5881, _u5880), hAPP(hAPP(c_COMBB(_u5880, _u5880, _u5881), c_Groups_Oabs__class_Oabs(_u5880)), _u5882)), _u5883))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atMost__eq__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atMost__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u5884) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u5884), _u5885) != hAPP(c_SetInterval_Oord__class_OatMost(_u5884), _u5886)) | ( _u5885 = _u5886) )).
% 43.36/43.56 cnf(fact_atMost__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u5884) | ( _u5885 != _u5886) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u5884), _u5885) = hAPP(c_SetInterval_Oord__class_OatMost(_u5884), _u5886)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__idempotent ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__idempotent-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5887) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5887), hAPP(c_Groups_Oabs__class_Oabs(_u5887), _u5888)) = hAPP(c_Groups_Oabs__class_Oabs(_u5887), _u5888)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__le__D1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__le__D1-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5889), hAPP(c_Groups_Oabs__class_Oabs(_u5889), _u5890)), _u5891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5889), _u5890), _u5891)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__ge__self ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__ge__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5892) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5892), _u5893), hAPP(c_Groups_Oabs__class_Oabs(_u5892), _u5893))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__zero ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5894) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5894), c_Groups_Ozero__class_Ozero(_u5894)) = c_Groups_Ozero__class_Ozero(_u5894)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__eq__0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__eq__0-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5895) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5895), _u5896) != c_Groups_Ozero__class_Ozero(_u5895)) | ( _u5896 = c_Groups_Ozero__class_Ozero(_u5895)) )).
% 43.36/43.56 cnf(fact_abs__eq__0-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5895) | ( _u5896 != c_Groups_Ozero__class_Ozero(_u5895)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5895), _u5896) = c_Groups_Ozero__class_Ozero(_u5895)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__add__abs ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__add__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5897) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5897), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5897), hAPP(c_Groups_Oabs__class_Oabs(_u5897), _u5898)), hAPP(c_Groups_Oabs__class_Oabs(_u5897), _u5899))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5897), hAPP(c_Groups_Oabs__class_Oabs(_u5897), _u5898)), hAPP(c_Groups_Oabs__class_Oabs(_u5897), _u5899))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__mult__self ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__mult__self-1, axiom, ( ~class_Rings_Olinordered__idom(_u5900) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5900), hAPP(c_Groups_Oabs__class_Oabs(_u5900), _u5901)), hAPP(c_Groups_Oabs__class_Oabs(_u5900), _u5901)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5900), _u5901), _u5901)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__mult ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__mult-1, axiom, ( ~class_Rings_Olinordered__idom(_u5902) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5902), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5902), _u5903), _u5904)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5902), hAPP(c_Groups_Oabs__class_Oabs(_u5902), _u5903)), hAPP(c_Groups_Oabs__class_Oabs(_u5902), _u5904))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__minus__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__minus__commute-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5905) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5905), _u5906), _u5907)) = hAPP(c_Groups_Oabs__class_Oabs(_u5905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5905), _u5907), _u5906))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__one ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__one-1, axiom, ( ~class_Rings_Olinordered__idom(_u5908) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5908), c_Groups_Oone__class_Oone(_u5908)) = c_Groups_Oone__class_Oone(_u5908)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__of__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__of__nat-1, axiom, ( ~class_Rings_Olinordered__idom(_u5909) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5909), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5909), _u5910)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5909), _u5910)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__int__eq ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5911)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5911)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__setsum__abs ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__setsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5912) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5912), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5913, _u5912), hAPP(hAPP(c_COMBB(_u5912, _u5912, _u5913), c_Groups_Oabs__class_Oabs(_u5912)), _u5914)), _u5915)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5913, _u5912), hAPP(hAPP(c_COMBB(_u5912, _u5912, _u5913), c_Groups_Oabs__class_Oabs(_u5912)), _u5914)), _u5915)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__ge__zero ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__ge__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5916) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5916), c_Groups_Ozero__class_Ozero(_u5916)), hAPP(c_Groups_Oabs__class_Oabs(_u5916), _u5917))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__le__zero__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__le__zero__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5918) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5918), hAPP(c_Groups_Oabs__class_Oabs(_u5918), _u5919)), c_Groups_Ozero__class_Ozero(_u5918))) | ( _u5919 = c_Groups_Ozero__class_Ozero(_u5918)) )).
% 43.36/43.56 cnf(fact_abs__le__zero__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5918) | ( _u5919 != c_Groups_Ozero__class_Ozero(_u5918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5918), hAPP(c_Groups_Oabs__class_Oabs(_u5918), _u5919)), c_Groups_Ozero__class_Ozero(_u5918))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__of__nonneg ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__of__nonneg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5920), c_Groups_Ozero__class_Ozero(_u5920)), _u5921)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5920), _u5921) = _u5921) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__not__less__zero ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__not__less__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5922) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5922), hAPP(c_Groups_Oabs__class_Oabs(_u5922), _u5923)), c_Groups_Ozero__class_Ozero(_u5922))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zero__less__abs__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_zero__less__abs__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5924) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5924), c_Groups_Ozero__class_Ozero(_u5924)), hAPP(c_Groups_Oabs__class_Oabs(_u5924), _u5925))) | ( _u5925 != c_Groups_Ozero__class_Ozero(_u5924)) )).
% 43.36/43.56 cnf(fact_zero__less__abs__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5924) | ( _u5925 = c_Groups_Ozero__class_Ozero(_u5924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5924), c_Groups_Ozero__class_Ozero(_u5924)), hAPP(c_Groups_Oabs__class_Oabs(_u5924), _u5925))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__of__pos ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__of__pos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5926), c_Groups_Ozero__class_Ozero(_u5926)), _u5927)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5926), _u5927) = _u5927) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__triangle__ineq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5928) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5928), hAPP(c_Groups_Oabs__class_Oabs(_u5928), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5928), _u5929), _u5930))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5928), hAPP(c_Groups_Oabs__class_Oabs(_u5928), _u5929)), hAPP(c_Groups_Oabs__class_Oabs(_u5928), _u5930)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__mult__less ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__mult__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u5931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5931), hAPP(c_Groups_Oabs__class_Oabs(_u5931), _u5932)), _u5933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5931), hAPP(c_Groups_Oabs__class_Oabs(_u5931), _u5934)), _u5935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5931), hAPP(c_Groups_Oabs__class_Oabs(_u5931), _u5932)), hAPP(c_Groups_Oabs__class_Oabs(_u5931), _u5934))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5931), _u5933), _u5935))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__triangle__ineq3 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__triangle__ineq3-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5936) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5936), hAPP(c_Groups_Oabs__class_Oabs(_u5936), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5936), hAPP(c_Groups_Oabs__class_Oabs(_u5936), _u5937)), hAPP(c_Groups_Oabs__class_Oabs(_u5936), _u5938)))), hAPP(c_Groups_Oabs__class_Oabs(_u5936), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5936), _u5937), _u5938)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__triangle__ineq2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__triangle__ineq2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5939) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5939), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5939), hAPP(c_Groups_Oabs__class_Oabs(_u5939), _u5940)), hAPP(c_Groups_Oabs__class_Oabs(_u5939), _u5941))), hAPP(c_Groups_Oabs__class_Oabs(_u5939), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5939), _u5940), _u5941)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__triangle__ineq2__sym ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__triangle__ineq2__sym-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5942) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5942), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5942), hAPP(c_Groups_Oabs__class_Oabs(_u5942), _u5943)), hAPP(c_Groups_Oabs__class_Oabs(_u5942), _u5944))), hAPP(c_Groups_Oabs__class_Oabs(_u5942), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5942), _u5944), _u5943)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__zmult__eq__1 ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5945), _u5946)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5945) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__eq__mult ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__eq__mult-1, axiom, ( ~class_Rings_Oordered__ring__abs(_u5947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), _u5948), _u5949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), c_Groups_Ozero__class_Ozero(_u5947)), _u5948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), c_Groups_Ozero__class_Ozero(_u5947)), _u5949)) )).
% 43.36/43.56 cnf(fact_abs__eq__mult-2, axiom, ( ~class_Rings_Oordered__ring__abs(_u5947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), _u5948), _u5949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), c_Groups_Ozero__class_Ozero(_u5947)), _u5948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), _u5949), c_Groups_Ozero__class_Ozero(_u5947))) )).
% 43.36/43.56 cnf(fact_abs__eq__mult-3, axiom, ( ~class_Rings_Oordered__ring__abs(_u5947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), _u5948), _u5949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), _u5948), c_Groups_Ozero__class_Ozero(_u5947))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), c_Groups_Ozero__class_Ozero(_u5947)), _u5949)) )).
% 43.36/43.56 cnf(fact_abs__eq__mult-4, axiom, ( ~class_Rings_Oordered__ring__abs(_u5947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), _u5948), _u5949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), _u5948), c_Groups_Ozero__class_Ozero(_u5947))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), _u5949), c_Groups_Ozero__class_Ozero(_u5947))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__mult__pos ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__mult__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), c_Groups_Ozero__class_Ozero(_u5950)), _u5951)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), hAPP(c_Groups_Oabs__class_Oabs(_u5950), _u5952)), _u5951) = hAPP(c_Groups_Oabs__class_Oabs(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5952), _u5951))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__triangle__ineq4 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__triangle__ineq4-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5953) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5953), _u5954), _u5955))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5954)), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5955)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_abs__diff__triangle__ineq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_abs__diff__triangle__ineq-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u5956) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(c_Groups_Oabs__class_Oabs(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), _u5957), _u5958)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), _u5959), _u5960)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(c_Groups_Oabs__class_Oabs(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), _u5957), _u5959))), hAPP(c_Groups_Oabs__class_Oabs(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), _u5958), _u5960))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeast0AtMost ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeast0AtMost-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5961) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5961)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_lessThan__Suc__atMost ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_lessThan__Suc__atMost-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5962)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5962)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__atMost ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__atMost-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5963)) = hAPP(c_Nat_OSuc, _u5963)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atMost__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atMost__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5964)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5964)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5964))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atMost__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atMost__iff-1, axiom, ( ~class_Orderings_Oord(_u5965) | ~hBOOL(hAPP(hAPP(c_member(_u5965), _u5966), hAPP(c_SetInterval_Oord__class_OatMost(_u5965), _u5967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5965), _u5966), _u5967)) )).
% 43.36/43.56 cnf(fact_atMost__iff-2, axiom, ( ~class_Orderings_Oord(_u5965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5965), _u5966), _u5967)) | hBOOL(hAPP(hAPP(c_member(_u5965), _u5966), hAPP(c_SetInterval_Oord__class_OatMost(_u5965), _u5967))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_zabs__less__one__iff ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5969)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u5969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.56 cnf(fact_zabs__less__one__iff-2, axiom, ( ( _u5970 != 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), _u5970)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__abs__mult__distrib ( axiom ) converted to clauses:
% 43.36/43.56 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), _u5971), _u5972))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5971))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5972)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atMost__subset__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atMost__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u5973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5973, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5973), _u5974)), hAPP(c_SetInterval_Oord__class_OatMost(_u5973), _u5975))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5973), _u5974), _u5975)) )).
% 43.36/43.56 cnf(fact_atMost__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u5973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5973), _u5974), _u5975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5973, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5973), _u5974)), hAPP(c_SetInterval_Oord__class_OatMost(_u5973), _u5975))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__atMost__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__atMost__Suc-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5976) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5976), _u5977), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5978))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5976), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5976), _u5977), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5978))), hAPP(_u5977, hAPP(c_Nat_OSuc, _u5978)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atMost__0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atMost__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I9_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I9_J-1, axiom, ( ~class_Orderings_Olinorder(_u5979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5979), _u5980), _u5981)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5979, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5979), _u5980)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5979, _u5980, _u5981)) = hAPP(c_SetInterval_Oord__class_OatMost(_u5979), _u5981)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I3_J-1, axiom, ( ~class_Orderings_Oorder(_u5982) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5982, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5982), _u5983)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5982, _u5983, _u5984)) = c_Orderings_Obot__class_Obot(tc_fun(_u5982, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I1_J-1, axiom, ( ~class_Orderings_Oorder(_u5985) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5985, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5985), _u5986)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5985, _u5986, _u5987)) = c_Orderings_Obot__class_Obot(tc_fun(_u5985, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_incr__lemma ( axiom ) converted to clauses:
% 43.36/43.56 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)), _u5988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5989), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5990), 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), _u5990), _u5989))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5988)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nitpick_Oint__lcm__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nitpick_Oint__lcm__def-1, axiom, ( ( c_Nitpick_Oint__lcm(_u5991, _u5992) = 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), _u5991)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5992))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atMost__Int__atLeast ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atMost__Int__atLeast-1, axiom, ( ~class_Orderings_Oorder(_u5993) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5993, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5993), _u5994)), hAPP(c_SetInterval_Oord__class_OatLeast(_u5993), _u5994)) = hAPP(hAPP(c_Set_Oinsert(_u5993), _u5994), c_Orderings_Obot__class_Obot(tc_fun(_u5993, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_transfer__nat__int__sum__prod__cong_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5996) | ~class_Groups_Ocomm__monoid__mult(_u5996) | ( _u5997 != _u5998) | ~c_Nat__Transfer_Onat__set(_u5998) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5996), _u5999), _u5997) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5996), _u6000), _u5998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem154(_u6000, _u5999, _u5998, _u5997, _u5996))) )).
% 43.36/43.56 cnf(fact_transfer__nat__int__sum__prod__cong_I1_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u5996) | ~class_Groups_Ocomm__monoid__mult(_u5996) | ( _u5997 != _u5998) | ~c_Nat__Transfer_Onat__set(_u5998) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5996), _u5999), _u5997) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5996), _u6000), _u5998)) | ( hAPP(_u5999, skolem154(_u6000, _u5999, _u5998, _u5997, _u5996)) != hAPP(_u6000, skolem154(_u6000, _u5999, _u5998, _u5997, _u5996))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1Set_Oequations ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1Set_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6010, _u6012, hAPP(hAPP(c_Set_Oinsert(_u6010), _u6014), _u6016)), _u6018)) | ( hAPP(hAPP(c_Set_Oinsert(_u6010), _u6014), _u6016) = hAPP(hAPP(c_Set_Oinsert(_u6010), skolem155(_u6018, _u6016, _u6014, _u6012, _u6010)), skolem156(_u6018, _u6016, _u6014, _u6012, _u6010))) )).
% 43.36/43.56 cnf(fact_fold1Set_Oequations-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6010, _u6012, hAPP(hAPP(c_Set_Oinsert(_u6010), _u6014), _u6016)), _u6018)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u6010, _u6010, _u6012, skolem155(_u6018, _u6016, _u6014, _u6012, _u6010), skolem156(_u6018, _u6016, _u6014, _u6012, _u6010)), _u6018)) )).
% 43.36/43.56 cnf(fact_fold1Set_Oequations-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6010, _u6012, hAPP(hAPP(c_Set_Oinsert(_u6010), _u6014), _u6016)), _u6018)) | ~hBOOL(hAPP(hAPP(c_member(_u6010), skolem155(_u6018, _u6016, _u6014, _u6012, _u6010)), skolem156(_u6018, _u6016, _u6014, _u6012, _u6010))) )).
% 43.36/43.56 cnf(fact_fold1Set_Oequations-4, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u6011), _u6015), _u6017) != hAPP(hAPP(c_Set_Oinsert(_u6011), _u6004), _u6003)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u6011, _u6011, _u6013, _u6004, _u6003), _u6019)) | hBOOL(hAPP(hAPP(c_member(_u6011), _u6004), _u6003)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6011, _u6013, hAPP(hAPP(c_Set_Oinsert(_u6011), _u6015), _u6017)), _u6019)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_insert__fold1SetE ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_insert__fold1SetE-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6022, _u6023, hAPP(hAPP(c_Set_Oinsert(_u6022), _u6024), _u6025)), _u6026)) | ( hAPP(hAPP(c_Set_Oinsert(_u6022), _u6024), _u6025) = hAPP(hAPP(c_Set_Oinsert(_u6022), skolem157(_u6026, _u6025, _u6024, _u6023, _u6022)), skolem158(_u6026, _u6025, _u6024, _u6023, _u6022))) )).
% 43.36/43.56 cnf(fact_insert__fold1SetE-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6022, _u6023, hAPP(hAPP(c_Set_Oinsert(_u6022), _u6024), _u6025)), _u6026)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u6022, _u6022, _u6023, skolem157(_u6026, _u6025, _u6024, _u6023, _u6022), skolem158(_u6026, _u6025, _u6024, _u6023, _u6022)), _u6026)) )).
% 43.36/43.56 cnf(fact_insert__fold1SetE-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6022, _u6023, hAPP(hAPP(c_Set_Oinsert(_u6022), _u6024), _u6025)), _u6026)) | ~hBOOL(hAPP(hAPP(c_member(_u6022), skolem157(_u6026, _u6025, _u6024, _u6023, _u6022)), skolem158(_u6026, _u6025, _u6024, _u6023, _u6022))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_int__val__lemma ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_int__val__lemma-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem159(_u6031, _u6030, _u6029)), _u6029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6031), hAPP(_u6030, _u6029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem160(_u6031, _u6030, _u6029)), _u6029)) )).
% 43.36/43.56 cnf(fact_int__val__lemma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem159(_u6031, _u6030, _u6029)), _u6029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6031), hAPP(_u6030, _u6029))) | ( hAPP(_u6030, skolem160(_u6031, _u6030, _u6029)) = _u6031) )).
% 43.36/43.56 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(_u6030, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem159(_u6031, _u6030, _u6029)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u6030, skolem159(_u6031, _u6030, _u6029))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6031), hAPP(_u6030, _u6029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem160(_u6031, _u6030, _u6029)), _u6029)) )).
% 43.36/43.56 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(_u6030, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem159(_u6031, _u6030, _u6029)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u6030, skolem159(_u6031, _u6030, _u6029))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6031), hAPP(_u6030, _u6029))) | ( hAPP(_u6030, skolem160(_u6031, _u6030, _u6029)) = _u6031) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeast__eq__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeast__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6032) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u6032), _u6033) != hAPP(c_SetInterval_Oord__class_OatLeast(_u6032), _u6034)) | ( _u6033 = _u6034) )).
% 43.36/43.56 cnf(fact_atLeast__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6032) | ( _u6033 != _u6034) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u6032), _u6033) = hAPP(c_SetInterval_Oord__class_OatLeast(_u6032), _u6034)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeast__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeast__iff-1, axiom, ( ~class_Orderings_Oord(_u6035) | ~hBOOL(hAPP(hAPP(c_member(_u6035), _u6036), hAPP(c_SetInterval_Oord__class_OatLeast(_u6035), _u6037))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6035), _u6037), _u6036)) )).
% 43.36/43.56 cnf(fact_atLeast__iff-2, axiom, ( ~class_Orderings_Oord(_u6035) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6035), _u6037), _u6036)) | hBOOL(hAPP(hAPP(c_member(_u6035), _u6036), hAPP(c_SetInterval_Oord__class_OatLeast(_u6035), _u6037))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeast__subset__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeast__subset__iff-1, axiom, ( ~class_Orderings_Oorder(_u6038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6038, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6038), _u6039)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6038), _u6040))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6038), _u6040), _u6039)) )).
% 43.36/43.56 cnf(fact_atLeast__subset__iff-2, axiom, ( ~class_Orderings_Oorder(_u6038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6038), _u6040), _u6039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6038, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6038), _u6039)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6038), _u6040))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I14_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I14_J-1, axiom, ( ~class_Orderings_Olinorder(_u6041) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6041), _u6042), _u6043)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6041, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u6041, _u6042), _u6043)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6041), _u6043)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u6041), _u6042)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I8_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I8_J-1, axiom, ( ~class_Orderings_Oorder(_u6044) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6044, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u6044, _u6045), _u6046)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6044), _u6046)) = c_Orderings_Obot__class_Obot(tc_fun(_u6044, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I6_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I6_J-1, axiom, ( ~class_Orderings_Oorder(_u6047) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6047, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u6047, _u6048, _u6049)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6047), _u6049)) = c_Orderings_Obot__class_Obot(tc_fun(_u6047, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeast__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeast__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6050)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u6050)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u6050), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I12_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I12_J-1, axiom, ( ~class_Orderings_Olinorder(_u6051) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6051), _u6052), _u6053)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6051, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u6051, _u6052, _u6053)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6051), _u6053)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6051), _u6052)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I13_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I13_J-1, axiom, ( ~class_Orderings_Olinorder(_u6054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6054), _u6055), _u6056)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6054, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u6054, _u6055, _u6056)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6054), _u6056)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u6054), _u6055)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u6057) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6057, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u6057), _u6058), c_Orderings_Obot__class_Obot(tc_fun(_u6057, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6057), _u6058)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u6057), _u6058)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat0__intermed__int__val ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_nat0__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem161(_u6063, _u6062, _u6061)), _u6061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), hAPP(_u6062, _u6061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem162(_u6063, _u6062, _u6061)), _u6061)) )).
% 43.36/43.56 cnf(fact_nat0__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem161(_u6063, _u6062, _u6061)), _u6061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), hAPP(_u6062, _u6061))) | ( hAPP(_u6062, skolem162(_u6063, _u6062, _u6061)) = _u6063) )).
% 43.36/43.56 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(_u6062, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem161(_u6063, _u6062, _u6061)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u6062, skolem161(_u6063, _u6062, _u6061))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), hAPP(_u6062, _u6061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem162(_u6063, _u6062, _u6061)), _u6061)) )).
% 43.36/43.56 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(_u6062, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem161(_u6063, _u6062, _u6061)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u6062, skolem161(_u6063, _u6062, _u6061))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), hAPP(_u6062, _u6061))) | ( hAPP(_u6062, skolem162(_u6063, _u6062, _u6061)) = _u6063) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__Un ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__Un-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u6064) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6064), _u6065)) | ( _u6065 = c_Orderings_Obot__class_Obot(tc_fun(_u6064, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6064), _u6066)) | ( _u6066 = c_Orderings_Obot__class_Obot(tc_fun(_u6064, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6064, tc_HOL_Obool)), _u6065), _u6066) != c_Orderings_Obot__class_Obot(tc_fun(_u6064, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u6064, c_Groups_Otimes__class_Otimes(_u6064)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6064, tc_HOL_Obool)), _u6065), _u6066)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6064), hAPP(c_Finite__Set_Ofold1(_u6064, c_Groups_Otimes__class_Otimes(_u6064)), _u6065)), hAPP(c_Finite__Set_Ofold1(_u6064, c_Groups_Otimes__class_Otimes(_u6064)), _u6066))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__insert ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__insert-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u6067) | ( _u6068 = c_Orderings_Obot__class_Obot(tc_fun(_u6067, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6067), _u6068)) | hBOOL(hAPP(hAPP(c_member(_u6067), _u6069), _u6068)) | ( hAPP(c_Finite__Set_Ofold1(_u6067, c_Groups_Otimes__class_Otimes(_u6067)), hAPP(hAPP(c_Set_Oinsert(_u6067), _u6069), _u6068)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6067), _u6069), hAPP(c_Finite__Set_Ofold1(_u6067, c_Groups_Otimes__class_Otimes(_u6067)), _u6068))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_greaterThan__eq__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_greaterThan__eq__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6070) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6070), _u6071) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6070), _u6072)) | ( _u6071 = _u6072) )).
% 43.36/43.56 cnf(fact_greaterThan__eq__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6070) | ( _u6071 != _u6072) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6070), _u6071) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6070), _u6072)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeast__Suc__greaterThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeast__Suc__greaterThan-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6073)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u6073)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__singleton ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u6074, _u6075), hAPP(hAPP(c_Set_Oinsert(_u6074), _u6076), c_Orderings_Obot__class_Obot(tc_fun(_u6074, tc_HOL_Obool)))) = _u6076) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__singleton__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__singleton__def-1, axiom, ( ( _u6077 != c_Finite__Set_Ofold1(_u6078, _u6079)) | ( hAPP(_u6077, hAPP(hAPP(c_Set_Oinsert(_u6078), _u6080), c_Orderings_Obot__class_Obot(tc_fun(_u6078, tc_HOL_Obool)))) = _u6080) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_folding__one_Oeq__fold ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_folding__one_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u6081, _u6082, _u6083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6081), _u6084)) | ( hAPP(_u6083, _u6084) = hAPP(c_Finite__Set_Ofold1(_u6081, _u6082), _u6084)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_greaterThan__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_greaterThan__iff-1, axiom, ( ~class_Orderings_Oord(_u6085) | ~hBOOL(hAPP(hAPP(c_member(_u6085), _u6086), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6085), _u6087))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6085), _u6087), _u6086)) )).
% 43.36/43.56 cnf(fact_greaterThan__iff-2, axiom, ( ~class_Orderings_Oord(_u6085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6085), _u6087), _u6086)) | hBOOL(hAPP(hAPP(c_member(_u6085), _u6086), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6085), _u6087))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_greaterThan__subset__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_greaterThan__subset__iff-1, axiom, ( ~class_Orderings_Olinorder(_u6088) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6088, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6088), _u6089)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6088), _u6090))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6088), _u6090), _u6089)) )).
% 43.36/43.56 cnf(fact_greaterThan__subset__iff-2, axiom, ( ~class_Orderings_Olinorder(_u6088) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6088), _u6090), _u6089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6088, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6088), _u6089)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6088), _u6090))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold1(_u6091, _u6092), _u6093) = c_HOL_OThe(_u6091, c_Finite__Set_Ofold1Set(_u6091, _u6092, _u6093))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Sup__fin_OF__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Sup__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u6094) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6094), _u6095)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u6094, _u6095) = hAPP(c_Finite__Set_Ofold1(_u6094, c_Lattices_Osemilattice__sup__class_Osup(_u6094)), _u6095)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Inf__fin_OF__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Inf__fin_OF__eq-1, axiom, ( ~class_Lattices_Olattice(_u6096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6096), _u6097)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u6096, _u6097) = hAPP(c_Finite__Set_Ofold1(_u6096, c_Lattices_Osemilattice__inf__class_Oinf(_u6096)), _u6097)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__belowI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__belowI-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u6098) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6098), _u6099)) | ~hBOOL(hAPP(hAPP(c_member(_u6098), _u6100), _u6099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), hAPP(c_Finite__Set_Ofold1(_u6098, c_Lattices_Osemilattice__inf__class_Oinf(_u6098)), _u6099)), _u6100)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_below__fold1__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_below__fold1__iff-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u6103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6103), _u6104)) | ( _u6104 = c_Orderings_Obot__class_Obot(tc_fun(_u6103, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), hAPP(c_Finite__Set_Ofold1(_u6103, c_Lattices_Osemilattice__inf__class_Oinf(_u6103)), _u6104))) | ~hBOOL(hAPP(hAPP(c_member(_u6103), _u6101), _u6104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), _u6101)) )).
% 43.36/43.56 cnf(fact_below__fold1__iff-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u6103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6103), _u6104)) | ( _u6104 = c_Orderings_Obot__class_Obot(tc_fun(_u6103, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), hAPP(c_Finite__Set_Ofold1(_u6103, c_Lattices_Osemilattice__inf__class_Oinf(_u6103)), _u6104))) | hBOOL(hAPP(hAPP(c_member(_u6103), skolem163(_u6105, _u6104, _u6103)), _u6104)) )).
% 43.36/43.56 cnf(fact_below__fold1__iff-3, axiom, ( ~class_Lattices_Osemilattice__inf(_u6103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6103), _u6104)) | ( _u6104 = c_Orderings_Obot__class_Obot(tc_fun(_u6103, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), hAPP(c_Finite__Set_Ofold1(_u6103, c_Lattices_Osemilattice__inf__class_Oinf(_u6103)), _u6104))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), skolem163(_u6105, _u6104, _u6103))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__insert__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__insert__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6106) | ( _u6107 = c_Orderings_Obot__class_Obot(tc_fun(_u6106, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6106), _u6107)) | ( hAPP(c_Finite__Set_Ofold1(_u6106, c_Groups_Otimes__class_Otimes(_u6106)), hAPP(hAPP(c_Set_Oinsert(_u6106), _u6108), _u6107)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6106), _u6108), hAPP(c_Finite__Set_Ofold1(_u6106, c_Groups_Otimes__class_Otimes(_u6106)), _u6107))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__Un2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__Un2-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6109), _u6110)) | ( _u6110 = c_Orderings_Obot__class_Obot(tc_fun(_u6109, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6109), _u6111)) | ( _u6111 = c_Orderings_Obot__class_Obot(tc_fun(_u6109, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u6109, c_Groups_Otimes__class_Otimes(_u6109)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6109, tc_HOL_Obool)), _u6110), _u6111)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6109), hAPP(c_Finite__Set_Ofold1(_u6109, c_Groups_Otimes__class_Otimes(_u6109)), _u6110)), hAPP(c_Finite__Set_Ofold1(_u6109, c_Groups_Otimes__class_Otimes(_u6109)), _u6111))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I7_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I7_J-1, axiom, ( ~class_Orderings_Oorder(_u6112) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6112, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u6112, _u6113, _u6114)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6112), _u6114)) = c_Orderings_Obot__class_Obot(tc_fun(_u6112, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__un_I11_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__un_I11_J-1, axiom, ( ~class_Orderings_Olinorder(_u6115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6115), _u6116), _u6117)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6115, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u6115, _u6116, _u6117)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6115), _u6117)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6115), _u6116)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ivl__disj__int_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ivl__disj__int_I5_J-1, axiom, ( ~class_Orderings_Oorder(_u6118) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6118, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u6118, _u6119, _u6120)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6118), _u6120)) = c_Orderings_Obot__class_Obot(tc_fun(_u6118, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_greaterThan__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_greaterThan__Suc-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6121)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u6121)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6121)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_semilattice__big_OF__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_semilattice__big_OF__eq-1, axiom, ( ~c_Big__Operators_Osemilattice__big(_u6122, _u6123, _u6124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6122), _u6125)) | ( hAPP(_u6124, _u6125) = hAPP(c_Finite__Set_Ofold1(_u6122, _u6123), _u6125)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__in ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__in-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u6128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6128), _u6129)) | ( _u6129 = c_Orderings_Obot__class_Obot(tc_fun(_u6128, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6128), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6128), skolem164(_u6129, _u6128)), skolem165(_u6129, _u6128))), hAPP(hAPP(c_Set_Oinsert(_u6128), skolem164(_u6129, _u6128)), hAPP(hAPP(c_Set_Oinsert(_u6128), skolem165(_u6129, _u6128)), c_Orderings_Obot__class_Obot(tc_fun(_u6128, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u6128), hAPP(c_Finite__Set_Ofold1(_u6128, c_Groups_Otimes__class_Otimes(_u6128)), _u6129)), _u6129)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_hom__fold1__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_hom__fold1__commute-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6132) | ( hAPP(_u6133, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6132), skolem166(_u6134, _u6133, _u6132)), skolem167(_u6134, _u6133, _u6132))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6132), hAPP(_u6133, skolem166(_u6134, _u6133, _u6132))), hAPP(_u6133, skolem167(_u6134, _u6133, _u6132)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6132), _u6134)) | ( _u6134 = c_Orderings_Obot__class_Obot(tc_fun(_u6132, tc_HOL_Obool))) | ( hAPP(_u6133, hAPP(c_Finite__Set_Ofold1(_u6132, c_Groups_Otimes__class_Otimes(_u6132)), _u6134)) = hAPP(c_Finite__Set_Ofold1(_u6132, c_Groups_Otimes__class_Otimes(_u6132)), hAPP(c_Set_Oimage(_u6132, _u6132, _u6133), _u6134))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__less__Suc2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__less__Suc2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6135)) | ( 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)), _u6135))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6136)))) = 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)), _u6135))), 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, _u6136)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__less ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6137)) | ( 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)), _u6137))), 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, _u6138))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__less__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__less__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6139)) | ( 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)), _u6139))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6140))))) = 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)), _u6139))), 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, _u6140)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_CollectI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_CollectI-1, axiom, ( ~hBOOL(hAPP(_u6141, _u6142)) | hBOOL(hAPP(hAPP(c_member(_u6143), _u6142), hAPP(c_Set_OCollect(_u6143), _u6141))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__Collect__conjI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__Collect__conjI-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6144), hAPP(c_Set_OCollect(_u6144), hAPP(hAPP(c_COMBS(_u6144, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6144), c_fconj), _u6145)), _u6146)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6144), hAPP(c_Set_OCollect(_u6144), _u6145))) )).
% 43.36/43.56 cnf(fact_finite__Collect__conjI-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6144), hAPP(c_Set_OCollect(_u6144), hAPP(hAPP(c_COMBS(_u6144, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6144), c_fconj), _u6145)), _u6146)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6144), hAPP(c_Set_OCollect(_u6144), _u6146))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__Collect__less__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__Collect__less__nat-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6147)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__Collect__le__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__Collect__le__nat-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), _u6148)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Collect__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Collect__def-1, axiom, ( ( hAPP(c_Set_OCollect(_u6149), _u6150) = _u6150) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_empty__Collect__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_empty__Collect__eq-1, axiom, ( ~hBOOL(hAPP(_u6157, _u6151)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u6155, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u6155), _u6157)) )).
% 43.36/43.56 cnf(fact_empty__Collect__eq-2, axiom, ( hBOOL(hAPP(_u6158, skolem168(_u6158))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u6156, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u6156), _u6158)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Collect__empty__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Collect__empty__eq-1, axiom, ( ~hBOOL(hAPP(_u6165, _u6159)) | ( hAPP(c_Set_OCollect(_u6163), _u6165) != c_Orderings_Obot__class_Obot(tc_fun(_u6163, tc_HOL_Obool))) )).
% 43.36/43.56 cnf(fact_Collect__empty__eq-2, axiom, ( hBOOL(hAPP(_u6166, skolem169(_u6166))) | ( hAPP(c_Set_OCollect(_u6164), _u6166) = c_Orderings_Obot__class_Obot(tc_fun(_u6164, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Collect__mem__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Collect__mem__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u6167), hAPP(hAPP(c_COMBC(_u6167, tc_fun(_u6167, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6167)), _u6168)) = _u6168) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_mem__Collect__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_mem__Collect__eq-1, axiom, ( hBOOL(hAPP(_u6176, _u6174)) | ~hBOOL(hAPP(hAPP(c_member(_u6172), _u6174), hAPP(c_Set_OCollect(_u6172), _u6176))) )).
% 43.36/43.56 cnf(fact_mem__Collect__eq-2, axiom, ( ~hBOOL(hAPP(_u6177, _u6175)) | hBOOL(hAPP(hAPP(c_member(_u6173), _u6175), hAPP(c_Set_OCollect(_u6173), _u6177))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_CollectD ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_CollectD-1, axiom, ( hBOOL(hAPP(_u6180, _u6179)) | ~hBOOL(hAPP(hAPP(c_member(_u6178), _u6179), hAPP(c_Set_OCollect(_u6178), _u6180))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_CollectE ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_CollectE-1, axiom, ( hBOOL(hAPP(_u6183, _u6182)) | ~hBOOL(hAPP(hAPP(c_member(_u6181), _u6182), hAPP(c_Set_OCollect(_u6181), _u6183))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_empty__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_empty__def-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u6184, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u6184), hAPP(c_COMBK(tc_HOL_Obool, _u6184), c_fFalse))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__Collect__disjI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__Collect__disjI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6188), hAPP(c_Set_OCollect(_u6188), hAPP(hAPP(c_COMBS(_u6188, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6188), c_fdisj), _u6190)), _u6192)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6188), hAPP(c_Set_OCollect(_u6188), _u6190))) )).
% 43.36/43.56 cnf(fact_finite__Collect__disjI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6188), hAPP(c_Set_OCollect(_u6188), hAPP(hAPP(c_COMBS(_u6188, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6188), c_fdisj), _u6190)), _u6192)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6188), hAPP(c_Set_OCollect(_u6188), _u6192))) )).
% 43.36/43.56 cnf(fact_finite__Collect__disjI-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6189), hAPP(c_Set_OCollect(_u6189), _u6191))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6189), hAPP(c_Set_OCollect(_u6189), _u6193))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6189), hAPP(c_Set_OCollect(_u6189), hAPP(hAPP(c_COMBS(_u6189, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6189), c_fdisj), _u6191)), _u6193)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_insert__Collect ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_insert__Collect-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u6194), _u6195), hAPP(c_Set_OCollect(_u6194), _u6196)) = hAPP(c_Set_OCollect(_u6194), hAPP(hAPP(c_COMBS(_u6194, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6194), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6194), c_fNot), hAPP(hAPP(c_COMBC(_u6194, _u6194, tc_HOL_Obool), c_fequal), _u6195)))), _u6196))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Collect__disj__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Collect__disj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u6197), hAPP(hAPP(c_COMBS(_u6197, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6197), c_fdisj), _u6198)), _u6199)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6197, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u6197), _u6198)), hAPP(c_Set_OCollect(_u6197), _u6199))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Collect__conj__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Collect__conj__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u6200), hAPP(hAPP(c_COMBS(_u6200, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6200), c_fconj), _u6201)), _u6202)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6200, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u6200), _u6201)), hAPP(c_Set_OCollect(_u6200), _u6202))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_insert__compr ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_insert__compr-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u6203), _u6204), _u6205) = hAPP(c_Set_OCollect(_u6203), hAPP(hAPP(c_COMBS(_u6203, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6203), c_fdisj), hAPP(hAPP(c_COMBC(_u6203, _u6203, tc_HOL_Obool), c_fequal), _u6204))), hAPP(hAPP(c_COMBC(_u6203, tc_fun(_u6203, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6203)), _u6205)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_insert__compr__raw ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_insert__compr__raw-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u6206), _u6207), _u6208) = hAPP(c_Set_OCollect(_u6206), hAPP(hAPP(c_COMBS(_u6206, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6206), c_fdisj), hAPP(hAPP(c_COMBC(_u6206, _u6206, tc_HOL_Obool), c_fequal), _u6207))), hAPP(hAPP(c_COMBC(_u6206, tc_fun(_u6206, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6206)), _u6208)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Un__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Un__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6209, tc_HOL_Obool)), _u6210), _u6211) = hAPP(c_Set_OCollect(_u6209), hAPP(hAPP(c_COMBS(_u6209, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6209), c_fdisj), hAPP(hAPP(c_COMBC(_u6209, tc_fun(_u6209, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6209)), _u6210))), hAPP(hAPP(c_COMBC(_u6209, tc_fun(_u6209, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6209)), _u6211)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__def-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6212, tc_HOL_Obool)), _u6213), _u6214) = hAPP(c_Set_OCollect(_u6212), hAPP(hAPP(c_COMBS(_u6212, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6212), c_fconj), hAPP(hAPP(c_COMBC(_u6212, tc_fun(_u6212, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6212)), _u6213))), hAPP(hAPP(c_COMBC(_u6212, tc_fun(_u6212, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6212)), _u6214)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__Collect ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__Collect-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6219), _u6221), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6219, tc_HOL_Obool)), _u6223), hAPP(c_Set_OCollect(_u6219), _u6225)))) | hBOOL(hAPP(hAPP(c_member(_u6219), _u6221), _u6223)) )).
% 43.36/43.56 cnf(fact_Int__Collect-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6219), _u6221), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6219, tc_HOL_Obool)), _u6223), hAPP(c_Set_OCollect(_u6219), _u6225)))) | hBOOL(hAPP(_u6225, _u6221)) )).
% 43.36/43.56 cnf(fact_Int__Collect-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6220), _u6222), _u6224)) | ~hBOOL(hAPP(_u6226, _u6222)) | hBOOL(hAPP(hAPP(c_member(_u6220), _u6222), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6220, tc_HOL_Obool)), _u6224), hAPP(c_Set_OCollect(_u6220), _u6226)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_singleton__conv2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_singleton__conv2-1, axiom, ( ( hAPP(c_Set_OCollect(_u6227), hAPP(c_fequal, _u6228)) = hAPP(hAPP(c_Set_Oinsert(_u6227), _u6228), c_Orderings_Obot__class_Obot(tc_fun(_u6227, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_singleton__conv ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_singleton__conv-1, axiom, ( ( hAPP(c_Set_OCollect(_u6229), hAPP(hAPP(c_COMBC(_u6229, _u6229, tc_HOL_Obool), c_fequal), _u6230)) = hAPP(hAPP(c_Set_Oinsert(_u6229), _u6230), c_Orderings_Obot__class_Obot(tc_fun(_u6229, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Collect__conv__if2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Collect__conv__if2-1, axiom, ( ~hBOOL(hAPP(_u6234, _u6236)) | ( hAPP(c_Set_OCollect(_u6238), hAPP(hAPP(c_COMBS(_u6238, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6238), c_fconj), hAPP(c_fequal, _u6236))), _u6234)) = hAPP(hAPP(c_Set_Oinsert(_u6238), _u6236), c_Orderings_Obot__class_Obot(tc_fun(_u6238, tc_HOL_Obool)))) )).
% 43.36/43.56 cnf(fact_Collect__conv__if2-2, axiom, ( hBOOL(hAPP(_u6235, _u6237)) | ( hAPP(c_Set_OCollect(_u6239), hAPP(hAPP(c_COMBS(_u6239, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6239), c_fconj), hAPP(c_fequal, _u6237))), _u6235)) = c_Orderings_Obot__class_Obot(tc_fun(_u6239, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Collect__conv__if ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Collect__conv__if-1, axiom, ( ~hBOOL(hAPP(_u6243, _u6245)) | ( hAPP(c_Set_OCollect(_u6247), hAPP(hAPP(c_COMBS(_u6247, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6247), c_fconj), hAPP(hAPP(c_COMBC(_u6247, _u6247, tc_HOL_Obool), c_fequal), _u6245))), _u6243)) = hAPP(hAPP(c_Set_Oinsert(_u6247), _u6245), c_Orderings_Obot__class_Obot(tc_fun(_u6247, tc_HOL_Obool)))) )).
% 43.36/43.56 cnf(fact_Collect__conv__if-2, axiom, ( hBOOL(hAPP(_u6244, _u6246)) | ( hAPP(c_Set_OCollect(_u6248), hAPP(hAPP(c_COMBS(_u6248, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6248), c_fconj), hAPP(hAPP(c_COMBC(_u6248, _u6248, tc_HOL_Obool), c_fequal), _u6246))), _u6244)) = c_Orderings_Obot__class_Obot(tc_fun(_u6248, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_set__diff__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_set__diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6249, tc_HOL_Obool)), _u6250), _u6251) = hAPP(c_Set_OCollect(_u6249), hAPP(hAPP(c_COMBS(_u6249, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6249), c_fconj), hAPP(hAPP(c_COMBC(_u6249, tc_fun(_u6249, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6249)), _u6250))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6249), c_fNot), hAPP(hAPP(c_COMBC(_u6249, tc_fun(_u6249, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6249)), _u6251))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_insert__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_insert__def-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u6252), _u6253), _u6254) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6252, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u6252), hAPP(hAPP(c_COMBC(_u6252, _u6252, tc_HOL_Obool), c_fequal), _u6253))), _u6254)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__M__bounded__by__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__M__bounded__by__nat-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_OCollect(tc_Nat_Onat), hAPP(hAPP(c_COMBS(tc_Nat_Onat, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj), _u6255)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6256))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__setsum__restrict ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__setsum__restrict-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6258), _u6259)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6260), _u6261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6258, _u6257), hAPP(hAPP(c_COMBS(_u6258, tc_fun(_u6260, tc_HOL_Obool), _u6257), hAPP(hAPP(c_COMBB(tc_fun(_u6260, _u6257), tc_fun(tc_fun(_u6260, tc_HOL_Obool), _u6257), _u6258), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6260, _u6257)), _u6262)), hAPP(hAPP(c_COMBB(tc_fun(_u6260, tc_HOL_Obool), tc_fun(_u6260, tc_HOL_Obool), _u6258), c_Set_OCollect(_u6260)), hAPP(hAPP(c_COMBB(tc_fun(_u6260, tc_HOL_Obool), tc_fun(_u6260, tc_HOL_Obool), _u6258), hAPP(c_COMBS(_u6260, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6260), c_fconj), hAPP(hAPP(c_COMBC(_u6260, tc_fun(_u6260, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6260)), _u6261)))), _u6263)))), _u6259) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6260, _u6257), hAPP(hAPP(c_COMBS(_u6260, tc_fun(_u6258, tc_HOL_Obool), _u6257), hAPP(hAPP(c_COMBB(tc_fun(_u6258, _u6257), tc_fun(tc_fun(_u6258, tc_HOL_Obool), _u6257), _u6260), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6258, _u6257)), hAPP(c_COMBC(_u6258, _u6260, _u6257), _u6262))), hAPP(hAPP(c_COMBB(tc_fun(_u6258, tc_HOL_Obool), tc_fun(_u6258, tc_HOL_Obool), _u6260), c_Set_OCollect(_u6258)), hAPP(hAPP(c_COMBB(tc_fun(_u6258, tc_HOL_Obool), tc_fun(_u6258, tc_HOL_Obool), _u6260), hAPP(c_COMBS(_u6258, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6258), c_fconj), hAPP(hAPP(c_COMBC(_u6258, tc_fun(_u6258, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6258)), _u6259)))), hAPP(c_COMBC(_u6258, _u6260, tc_HOL_Obool), _u6263))))), _u6261)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_if__image__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_if__image__distrib-1, axiom, ( ( hAPP(c_Set_Oimage(_u6264, _u6265, hAPP(hAPP(c_COMBS(_u6264, _u6265, _u6265), hAPP(hAPP(c_COMBS(_u6264, _u6265, tc_fun(_u6265, _u6265)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6265, tc_fun(_u6265, _u6265)), _u6264), c_If(_u6265)), _u6266)), _u6267)), _u6268)), _u6269) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6264, _u6265, _u6267), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6264, tc_HOL_Obool)), _u6269), hAPP(c_Set_OCollect(_u6264), _u6266)))), hAPP(c_Set_Oimage(_u6264, _u6265, _u6268), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6264, tc_HOL_Obool)), _u6269), hAPP(c_Set_OCollect(_u6264), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6264), c_fNot), _u6266)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__seg__image__imp__finite ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_nat__seg__image__imp__finite-1, axiom, ( ( _u6270 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u6271, _u6272), 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)), _u6273)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6271), _u6270)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__restrict__set_H ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__restrict__set_H-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6274) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6275), _u6276)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6275, _u6274), _u6277), hAPP(c_Set_OCollect(_u6275), hAPP(hAPP(c_COMBS(_u6275, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6275), c_fconj), hAPP(hAPP(c_COMBC(_u6275, tc_fun(_u6275, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6275)), _u6276))), hAPP(hAPP(c_COMBC(_u6275, tc_fun(_u6275, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6275)), _u6278)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6275, _u6274), hAPP(hAPP(c_COMBC(_u6275, _u6274, _u6274), hAPP(hAPP(c_COMBS(_u6275, _u6274, tc_fun(_u6274, _u6274)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6274, tc_fun(_u6274, _u6274)), _u6275), c_If(_u6274)), hAPP(hAPP(c_COMBC(_u6275, tc_fun(_u6275, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6275)), _u6278))), _u6277)), c_Groups_Ozero__class_Ozero(_u6274))), _u6276)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__image__gen ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__image__gen-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u6279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6280), _u6281)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6280, _u6279), _u6282), _u6281) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6283, _u6279), hAPP(hAPP(c_COMBB(tc_fun(_u6280, tc_HOL_Obool), _u6279, _u6283), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6280, _u6279), _u6282)), hAPP(hAPP(c_COMBB(tc_fun(_u6280, tc_HOL_Obool), tc_fun(_u6280, tc_HOL_Obool), _u6283), c_Set_OCollect(_u6280)), hAPP(hAPP(c_COMBB(tc_fun(_u6280, tc_HOL_Obool), tc_fun(_u6280, tc_HOL_Obool), _u6283), hAPP(c_COMBS(_u6280, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6280), c_fconj), hAPP(hAPP(c_COMBC(_u6280, tc_fun(_u6280, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6280)), _u6281)))), hAPP(c_COMBC(_u6280, _u6283, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6283, tc_fun(_u6283, tc_HOL_Obool), _u6280), c_fequal), _u6284)))))), hAPP(c_Set_Oimage(_u6280, _u6283, _u6284), _u6281))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__multicount ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__multicount-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6286), _u6287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6288), _u6289)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6286, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_Nat_Onat, _u6286), c_Finite__Set_Ocard(_u6288)), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_fun(_u6288, tc_HOL_Obool), _u6286), c_Set_OCollect(_u6288)), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_fun(_u6288, tc_HOL_Obool), _u6286), hAPP(c_COMBS(_u6288, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6288), c_fconj), hAPP(hAPP(c_COMBC(_u6288, tc_fun(_u6288, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6288)), _u6289)))), _u6290)))), _u6287) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6291), hAPP(c_Finite__Set_Ocard(_u6288), _u6289))) | hBOOL(hAPP(hAPP(c_member(_u6288), skolem170(_u6291, _u6290, _u6289, _u6288, _u6287, _u6286)), _u6289)) )).
% 43.36/43.56 cnf(fact_setsum__multicount-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6286), _u6287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6288), _u6289)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6286, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_Nat_Onat, _u6286), c_Finite__Set_Ocard(_u6288)), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_fun(_u6288, tc_HOL_Obool), _u6286), c_Set_OCollect(_u6288)), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_fun(_u6288, tc_HOL_Obool), _u6286), hAPP(c_COMBS(_u6288, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6288), c_fconj), hAPP(hAPP(c_COMBC(_u6288, tc_fun(_u6288, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6288)), _u6289)))), _u6290)))), _u6287) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6291), hAPP(c_Finite__Set_Ocard(_u6288), _u6289))) | ( hAPP(c_Finite__Set_Ocard(_u6286), hAPP(c_Set_OCollect(_u6286), hAPP(hAPP(c_COMBS(_u6286, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6286), c_fconj), hAPP(hAPP(c_COMBC(_u6286, tc_fun(_u6286, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6286)), _u6287))), hAPP(hAPP(c_COMBC(_u6286, _u6288, tc_HOL_Obool), _u6290), skolem170(_u6291, _u6290, _u6289, _u6288, _u6287, _u6286))))) != _u6291) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_lfp__induct__set ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_lfp__induct__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6293), _u6294), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6293, tc_HOL_Obool), _u6295))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6293, tc_HOL_Obool), tc_fun(_u6293, tc_HOL_Obool), _u6295) | hBOOL(hAPP(_u6296, _u6294)) | hBOOL(hAPP(hAPP(c_member(_u6293), skolem171(_u6296, _u6295, _u6294, _u6293)), hAPP(_u6295, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6293, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6293, tc_HOL_Obool), _u6295)), hAPP(c_Set_OCollect(_u6293), _u6296))))) )).
% 43.36/43.56 cnf(fact_lfp__induct__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6293), _u6294), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6293, tc_HOL_Obool), _u6295))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6293, tc_HOL_Obool), tc_fun(_u6293, tc_HOL_Obool), _u6295) | hBOOL(hAPP(_u6296, _u6294)) | ~hBOOL(hAPP(_u6296, skolem171(_u6296, _u6295, _u6294, _u6293))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_def__lfp__induct__set ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_def__lfp__induct__set-1, axiom, ( ( _u6298 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6299, tc_HOL_Obool), _u6300)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6299, tc_HOL_Obool), tc_fun(_u6299, tc_HOL_Obool), _u6300) | ~hBOOL(hAPP(hAPP(c_member(_u6299), _u6301), _u6298)) | hBOOL(hAPP(_u6302, _u6301)) | hBOOL(hAPP(hAPP(c_member(_u6299), skolem172(_u6302, _u6301, _u6300, _u6299, _u6298)), hAPP(_u6300, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6299, tc_HOL_Obool)), _u6298), hAPP(c_Set_OCollect(_u6299), _u6302))))) )).
% 43.36/43.56 cnf(fact_def__lfp__induct__set-2, axiom, ( ( _u6298 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6299, tc_HOL_Obool), _u6300)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6299, tc_HOL_Obool), tc_fun(_u6299, tc_HOL_Obool), _u6300) | ~hBOOL(hAPP(hAPP(c_member(_u6299), _u6301), _u6298)) | hBOOL(hAPP(_u6302, _u6301)) | ~hBOOL(hAPP(_u6302, skolem172(_u6302, _u6301, _u6300, _u6299, _u6298))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_def__Collect__coinduct ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_def__Collect__coinduct-1, axiom, ( ( _u6304 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u6305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool)), c_Set_OCollect(_u6305)), _u6306))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool)), c_Set_OCollect(_u6305)), _u6306)) | ~hBOOL(hAPP(hAPP(c_member(_u6305), _u6307), _u6308)) | hBOOL(hAPP(hAPP(c_member(_u6305), _u6307), _u6304)) | hBOOL(hAPP(hAPP(c_member(_u6305), skolem173(_u6308, _u6307, _u6306, _u6305, _u6304)), _u6308)) )).
% 43.36/43.56 cnf(fact_def__Collect__coinduct-2, axiom, ( ( _u6304 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u6305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool)), c_Set_OCollect(_u6305)), _u6306))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool)), c_Set_OCollect(_u6305)), _u6306)) | ~hBOOL(hAPP(hAPP(c_member(_u6305), _u6307), _u6308)) | hBOOL(hAPP(hAPP(c_member(_u6305), _u6307), _u6304)) | ~hBOOL(hAPP(hAPP(_u6306, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6305, tc_HOL_Obool)), _u6308), _u6304)), skolem173(_u6308, _u6307, _u6306, _u6305, _u6304))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_setsum__multicount__gen ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_setsum__multicount__gen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6310), _u6311)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6312), _u6313)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6310, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_Nat_Onat, _u6310), c_Finite__Set_Ocard(_u6312)), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_fun(_u6312, tc_HOL_Obool), _u6310), c_Set_OCollect(_u6312)), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_fun(_u6312, tc_HOL_Obool), _u6310), hAPP(c_COMBS(_u6312, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6312), c_fconj), hAPP(hAPP(c_COMBC(_u6312, tc_fun(_u6312, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6312)), _u6313)))), _u6314)))), _u6311) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6312, tc_Nat_Onat), _u6315), _u6313)) | hBOOL(hAPP(hAPP(c_member(_u6312), skolem174(_u6315, _u6314, _u6313, _u6312, _u6311, _u6310)), _u6313)) )).
% 43.36/43.56 cnf(fact_setsum__multicount__gen-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6310), _u6311)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6312), _u6313)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6310, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_Nat_Onat, _u6310), c_Finite__Set_Ocard(_u6312)), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_fun(_u6312, tc_HOL_Obool), _u6310), c_Set_OCollect(_u6312)), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_fun(_u6312, tc_HOL_Obool), _u6310), hAPP(c_COMBS(_u6312, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6312), c_fconj), hAPP(hAPP(c_COMBC(_u6312, tc_fun(_u6312, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6312)), _u6313)))), _u6314)))), _u6311) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6312, tc_Nat_Onat), _u6315), _u6313)) | ( hAPP(c_Finite__Set_Ocard(_u6310), hAPP(c_Set_OCollect(_u6310), hAPP(hAPP(c_COMBS(_u6310, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6310), c_fconj), hAPP(hAPP(c_COMBC(_u6310, tc_fun(_u6310, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6310)), _u6311))), hAPP(hAPP(c_COMBC(_u6310, _u6312, tc_HOL_Obool), _u6314), skolem174(_u6315, _u6314, _u6313, _u6312, _u6311, _u6310))))) != hAPP(_u6315, skolem174(_u6315, _u6314, _u6313, _u6312, _u6311, _u6310))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inf__Sup1__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inf__Sup1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u6316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6316), _u6317)) | ( _u6317 = c_Orderings_Obot__class_Obot(tc_fun(_u6316, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6316), _u6318), c_Big__Operators_Olattice__class_OSup__fin(_u6316, _u6317)) = c_Big__Operators_Olattice__class_OSup__fin(_u6316, hAPP(c_Set_OCollect(_u6316), hAPP(hAPP(c_COMBB(tc_fun(_u6316, tc_HOL_Obool), tc_HOL_Obool, _u6316), c_HOL_OEx(_u6316)), hAPP(hAPP(c_COMBC(_u6316, tc_fun(_u6316, tc_HOL_Obool), tc_fun(_u6316, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6316, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6316, tc_HOL_Obool), tc_fun(_u6316, tc_HOL_Obool)), _u6316), c_COMBS(_u6316, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6316, tc_HOL_Obool), tc_fun(_u6316, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6316), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6316), c_fconj)), hAPP(hAPP(c_COMBC(_u6316, tc_fun(_u6316, _u6316), tc_fun(_u6316, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6316, tc_HOL_Obool), tc_fun(tc_fun(_u6316, _u6316), tc_fun(_u6316, tc_HOL_Obool)), _u6316), c_COMBB(_u6316, tc_HOL_Obool, _u6316)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6316), _u6318))))), hAPP(hAPP(c_COMBC(_u6316, tc_fun(_u6316, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6316)), _u6317)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__Collect__subsets ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__Collect__subsets-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6319), _u6320)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6319, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u6319, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u6319, tc_HOL_Obool), tc_fun(_u6319, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u6319, tc_HOL_Obool))), _u6320)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Pow__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Pow__def-1, axiom, ( ( hAPP(c_Set_OPow(_u6321), _u6322) = hAPP(c_Set_OCollect(tc_fun(_u6321, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u6321, tc_HOL_Obool), tc_fun(_u6321, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u6321, tc_HOL_Obool))), _u6322))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__Collect__bounded__ex ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__Collect__bounded__ex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6325), hAPP(c_Set_OCollect(_u6325), _u6326))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_HOL_Obool, _u6327), c_HOL_OEx(_u6325)), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_fun(_u6325, tc_HOL_Obool), _u6327), hAPP(c_COMBS(_u6325, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6325), c_fconj), _u6326))), _u6328))))) | ~hBOOL(hAPP(_u6326, _u6323)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBC(_u6327, _u6325, tc_HOL_Obool), _u6328), _u6323)))) )).
% 43.36/43.56 cnf(fact_finite__Collect__bounded__ex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6325), hAPP(c_Set_OCollect(_u6325), _u6326))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_HOL_Obool, _u6327), c_HOL_OEx(_u6325)), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_fun(_u6325, tc_HOL_Obool), _u6327), hAPP(c_COMBS(_u6325, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6325), c_fconj), _u6326))), _u6328))))) | hBOOL(hAPP(_u6326, skolem175(_u6328, _u6327, _u6326, _u6325))) )).
% 43.36/43.56 cnf(fact_finite__Collect__bounded__ex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6325), hAPP(c_Set_OCollect(_u6325), _u6326))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_HOL_Obool, _u6327), c_HOL_OEx(_u6325)), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_fun(_u6325, tc_HOL_Obool), _u6327), hAPP(c_COMBS(_u6325, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6325), c_fconj), _u6326))), _u6328))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBC(_u6327, _u6325, tc_HOL_Obool), _u6328), skolem175(_u6328, _u6327, _u6326, _u6325))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__image__set ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__image__set-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6329), hAPP(c_Set_OCollect(_u6329), _u6330))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6331), hAPP(c_Set_OCollect(_u6331), hAPP(hAPP(c_COMBB(tc_fun(_u6329, tc_HOL_Obool), tc_HOL_Obool, _u6331), c_HOL_OEx(_u6329)), hAPP(hAPP(c_COMBC(_u6331, tc_fun(_u6329, tc_HOL_Obool), tc_fun(_u6329, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6329, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6329, tc_HOL_Obool), tc_fun(_u6329, tc_HOL_Obool)), _u6331), c_COMBS(_u6329, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6329, tc_HOL_Obool), tc_fun(_u6329, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6331), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6329), c_fconj)), hAPP(hAPP(c_COMBC(_u6331, tc_fun(_u6329, _u6331), tc_fun(_u6329, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6331, tc_HOL_Obool), tc_fun(tc_fun(_u6329, _u6331), tc_fun(_u6329, tc_HOL_Obool)), _u6331), c_COMBB(_u6331, tc_HOL_Obool, _u6329)), c_fequal)), _u6332)))), _u6330))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J-1, axiom, ( c_Nat__Transfer_Onat__set(hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u6333))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Int_Oint), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Int_Oint), c_fconj), hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), _u6334)) = 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), _u6334), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J-1, axiom, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u6335) = 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), _u6335), c_Int_Onat))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_sup__Inf2__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_sup__Inf2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u6336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6336), _u6337)) | ( _u6337 = c_Orderings_Obot__class_Obot(tc_fun(_u6336, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6336), _u6338)) | ( _u6338 = c_Orderings_Obot__class_Obot(tc_fun(_u6336, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6336), c_Big__Operators_Olattice__class_OInf__fin(_u6336, _u6337)), c_Big__Operators_Olattice__class_OInf__fin(_u6336, _u6338)) = c_Big__Operators_Olattice__class_OInf__fin(_u6336, hAPP(c_Set_OCollect(_u6336), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_HOL_Obool), tc_HOL_Obool, _u6336), c_HOL_OEx(_u6336)), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool)), tc_fun(_u6336, tc_HOL_Obool), _u6336), hAPP(c_COMBB(tc_fun(_u6336, tc_HOL_Obool), tc_HOL_Obool, _u6336), c_HOL_OEx(_u6336))), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool)), tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_fun(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool))), tc_fun(tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool)), tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool))), _u6336), c_COMBS(_u6336, tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_fun(_u6336, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u6336, tc_fun(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool))), _u6336), hAPP(c_COMBB(tc_fun(_u6336, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool)), _u6336), c_COMBS(_u6336, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool)), tc_fun(_u6336, tc_fun(_u6336, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u6336), hAPP(c_COMBB(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6336), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6336), c_fconj))), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_fun(_u6336, _u6336)), tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u6336, _u6336), tc_fun(_u6336, tc_HOL_Obool)), tc_fun(tc_fun(_u6336, tc_fun(_u6336, _u6336)), tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool))), _u6336), c_COMBB(tc_fun(_u6336, _u6336), tc_fun(_u6336, tc_HOL_Obool), _u6336)), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_HOL_Obool), tc_fun(tc_fun(_u6336, _u6336), tc_fun(_u6336, tc_HOL_Obool)), _u6336), c_COMBB(_u6336, tc_HOL_Obool, _u6336)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u6336)))))), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool)), _u6336), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6336)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6336), c_fconj), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6336)), _u6337)))), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6336)), _u6338)))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_sup__Inf1__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_sup__Inf1__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u6339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6339), _u6340)) | ( _u6340 = c_Orderings_Obot__class_Obot(tc_fun(_u6339, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6339), _u6341), c_Big__Operators_Olattice__class_OInf__fin(_u6339, _u6340)) = c_Big__Operators_Olattice__class_OInf__fin(_u6339, hAPP(c_Set_OCollect(_u6339), hAPP(hAPP(c_COMBB(tc_fun(_u6339, tc_HOL_Obool), tc_HOL_Obool, _u6339), c_HOL_OEx(_u6339)), hAPP(hAPP(c_COMBC(_u6339, tc_fun(_u6339, tc_HOL_Obool), tc_fun(_u6339, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6339, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6339, tc_HOL_Obool), tc_fun(_u6339, tc_HOL_Obool)), _u6339), c_COMBS(_u6339, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6339, tc_HOL_Obool), tc_fun(_u6339, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6339), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6339), c_fconj)), hAPP(hAPP(c_COMBC(_u6339, tc_fun(_u6339, _u6339), tc_fun(_u6339, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6339, tc_HOL_Obool), tc_fun(tc_fun(_u6339, _u6339), tc_fun(_u6339, tc_HOL_Obool)), _u6339), c_COMBB(_u6339, tc_HOL_Obool, _u6339)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6339), _u6341))))), hAPP(hAPP(c_COMBC(_u6339, tc_fun(_u6339, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6339)), _u6340)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inf__Sup2__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inf__Sup2__distrib-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u6342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6342), _u6343)) | ( _u6343 = c_Orderings_Obot__class_Obot(tc_fun(_u6342, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6342), _u6344)) | ( _u6344 = c_Orderings_Obot__class_Obot(tc_fun(_u6342, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6342), c_Big__Operators_Olattice__class_OSup__fin(_u6342, _u6343)), c_Big__Operators_Olattice__class_OSup__fin(_u6342, _u6344)) = c_Big__Operators_Olattice__class_OSup__fin(_u6342, hAPP(c_Set_OCollect(_u6342), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_HOL_Obool), tc_HOL_Obool, _u6342), c_HOL_OEx(_u6342)), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool)), tc_fun(_u6342, tc_HOL_Obool), _u6342), hAPP(c_COMBB(tc_fun(_u6342, tc_HOL_Obool), tc_HOL_Obool, _u6342), c_HOL_OEx(_u6342))), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool)), tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_fun(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool))), tc_fun(tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool)), tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool))), _u6342), c_COMBS(_u6342, tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_fun(_u6342, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u6342, tc_fun(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool))), _u6342), hAPP(c_COMBB(tc_fun(_u6342, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool)), _u6342), c_COMBS(_u6342, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool)), tc_fun(_u6342, tc_fun(_u6342, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u6342), hAPP(c_COMBB(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6342), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6342), c_fconj))), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_fun(_u6342, _u6342)), tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u6342, _u6342), tc_fun(_u6342, tc_HOL_Obool)), tc_fun(tc_fun(_u6342, tc_fun(_u6342, _u6342)), tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool))), _u6342), c_COMBB(tc_fun(_u6342, _u6342), tc_fun(_u6342, tc_HOL_Obool), _u6342)), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_HOL_Obool), tc_fun(tc_fun(_u6342, _u6342), tc_fun(_u6342, tc_HOL_Obool)), _u6342), c_COMBB(_u6342, tc_HOL_Obool, _u6342)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u6342)))))), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool)), _u6342), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6342)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6342), c_fconj), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6342)), _u6343)))), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6342)), _u6344)))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_add__Min__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_add__Min__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6345) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6345), _u6346)) | ( _u6346 = c_Orderings_Obot__class_Obot(tc_fun(_u6345, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6345), _u6347), c_Big__Operators_Olinorder__class_OMin(_u6345, _u6346)) = c_Big__Operators_Olinorder__class_OMin(_u6345, hAPP(c_Set_OCollect(_u6345), hAPP(hAPP(c_COMBB(tc_fun(_u6345, tc_HOL_Obool), tc_HOL_Obool, _u6345), c_HOL_OEx(_u6345)), hAPP(hAPP(c_COMBC(_u6345, tc_fun(_u6345, tc_HOL_Obool), tc_fun(_u6345, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6345, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6345, tc_HOL_Obool), tc_fun(_u6345, tc_HOL_Obool)), _u6345), c_COMBS(_u6345, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6345, tc_HOL_Obool), tc_fun(_u6345, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6345), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6345), c_fconj)), hAPP(hAPP(c_COMBC(_u6345, tc_fun(_u6345, _u6345), tc_fun(_u6345, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6345, tc_HOL_Obool), tc_fun(tc_fun(_u6345, _u6345), tc_fun(_u6345, tc_HOL_Obool)), _u6345), c_COMBB(_u6345, tc_HOL_Obool, _u6345)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6345), _u6347))))), hAPP(hAPP(c_COMBC(_u6345, tc_fun(_u6345, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6345)), _u6346)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_add__Max__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_add__Max__commute-1, axiom, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6348) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6348), _u6349)) | ( _u6349 = c_Orderings_Obot__class_Obot(tc_fun(_u6348, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6348), _u6350), c_Big__Operators_Olinorder__class_OMax(_u6348, _u6349)) = c_Big__Operators_Olinorder__class_OMax(_u6348, hAPP(c_Set_OCollect(_u6348), hAPP(hAPP(c_COMBB(tc_fun(_u6348, tc_HOL_Obool), tc_HOL_Obool, _u6348), c_HOL_OEx(_u6348)), hAPP(hAPP(c_COMBC(_u6348, tc_fun(_u6348, tc_HOL_Obool), tc_fun(_u6348, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6348, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6348, tc_HOL_Obool), tc_fun(_u6348, tc_HOL_Obool)), _u6348), c_COMBS(_u6348, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6348, tc_HOL_Obool), tc_fun(_u6348, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6348), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6348), c_fconj)), hAPP(hAPP(c_COMBC(_u6348, tc_fun(_u6348, _u6348), tc_fun(_u6348, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6348, tc_HOL_Obool), tc_fun(tc_fun(_u6348, _u6348), tc_fun(_u6348, tc_HOL_Obool)), _u6348), c_COMBB(_u6348, tc_HOL_Obool, _u6348)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6348), _u6350))))), hAPP(hAPP(c_COMBC(_u6348, tc_fun(_u6348, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6348)), _u6349)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__conv__nat__seg__image ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__conv__nat__seg__image-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6357), _u6359)) | ( _u6359 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u6357, skolem177(_u6359, _u6357)), 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)), skolem176(_u6359, _u6357))))) )).
% 43.36/43.56 cnf(fact_finite__conv__nat__seg__image-2, axiom, ( ( _u6360 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u6358, _u6353), 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)), _u6354)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6358), _u6360)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_pigeonhole__infinite ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_pigeonhole__infinite-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6362), _u6363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6364), hAPP(c_Set_Oimage(_u6362, _u6364, _u6365), _u6363))) | hBOOL(hAPP(hAPP(c_member(_u6362), skolem178(_u6365, _u6364, _u6363, _u6362)), _u6363)) )).
% 43.36/43.56 cnf(fact_pigeonhole__infinite-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6362), _u6363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6364), hAPP(c_Set_Oimage(_u6362, _u6364, _u6365), _u6363))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6362), hAPP(c_Set_OCollect(_u6362), hAPP(hAPP(c_COMBS(_u6362, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6362), c_fconj), hAPP(hAPP(c_COMBC(_u6362, tc_fun(_u6362, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6362)), _u6363))), hAPP(hAPP(c_COMBC(_u6362, _u6364, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6364, tc_fun(_u6364, tc_HOL_Obool), _u6362), c_fequal), _u6365)), hAPP(_u6365, skolem178(_u6365, _u6364, _u6363, _u6362))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__le__eq__Un0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__le__eq__Un0-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6366, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u6367)), _u6368) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6366, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6366, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u6367)), _u6368)), hAPP(_u6368, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_greaterThan__0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_greaterThan__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_top1I ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_top1I-1, axiom, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u6369, tc_HOL_Obool)), _u6370)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UNIV__I ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6371), _u6372), c_Orderings_Otop__class_Otop(tc_fun(_u6371, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUP1__I ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUP1__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6373), _u6374), _u6375)) | ~hBOOL(hAPP(hAPP(_u6376, _u6374), _u6377)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6373, tc_fun(_u6378, tc_HOL_Obool)), _u6375), _u6376), _u6377)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__atLeast__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__atLeast__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__atMost__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__atMost__UNIV-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUP__UN__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUP__UN__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6383, tc_fun(_u6385, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6383, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6385, tc_HOL_Obool), tc_fun(_u6385, tc_HOL_Obool), _u6383), hAPP(c_COMBC(_u6385, tc_fun(_u6385, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6385))), _u6387)), _u6389)) | hBOOL(hAPP(hAPP(c_member(_u6385), _u6389), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6383, tc_fun(_u6385, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6383, tc_HOL_Obool))), _u6387))) )).
% 43.36/43.56 cnf(fact_SUP__UN__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6386), _u6390), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6384, tc_fun(_u6386, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6384, tc_HOL_Obool))), _u6388))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6384, tc_fun(_u6386, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6384, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6386, tc_HOL_Obool), tc_fun(_u6386, tc_HOL_Obool), _u6384), hAPP(c_COMBC(_u6386, tc_fun(_u6386, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6386))), _u6388)), _u6390)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__Prod__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__Prod__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6391), c_Orderings_Otop__class_Otop(tc_fun(_u6391, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6392), c_Orderings_Otop__class_Otop(tc_fun(_u6392, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u6391, _u6392)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u6391, _u6392), tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__option__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__option__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u6394)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u6394), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6394), c_Orderings_Otop__class_Otop(tc_fun(_u6394, tc_HOL_Obool)))) )).
% 43.36/43.56 cnf(fact_finite__option__UNIV-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6395), c_Orderings_Otop__class_Otop(tc_fun(_u6395, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u6395)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u6395), tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UNIV__Plus__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UNIV__Plus__UNIV-1, axiom, ( ( c_Sum__Type_OPlus(_u6396, _u6397, c_Orderings_Otop__class_Otop(tc_fun(_u6396, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6397, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6396, _u6397), tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Pow__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Pow__UNIV-1, axiom, ( ( hAPP(c_Set_OPow(_u6398), c_Orderings_Otop__class_Otop(tc_fun(_u6398, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u6398, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUP1__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUP1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6406, tc_fun(_u6408, tc_HOL_Obool)), _u6410), _u6412), _u6414)) | hBOOL(hAPP(hAPP(c_member(_u6406), skolem179(_u6414, _u6412, _u6410, _u6408, _u6406)), _u6410)) )).
% 43.36/43.56 cnf(fact_SUP1__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6406, tc_fun(_u6408, tc_HOL_Obool)), _u6410), _u6412), _u6414)) | hBOOL(hAPP(hAPP(_u6412, skolem179(_u6414, _u6412, _u6410, _u6408, _u6406)), _u6414)) )).
% 43.36/43.56 cnf(fact_SUP1__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6407), _u6400), _u6411)) | ~hBOOL(hAPP(hAPP(_u6413, _u6400), _u6415)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6407, tc_fun(_u6409, tc_HOL_Obool)), _u6411), _u6413), _u6415)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_top__apply ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_top__apply-1, axiom, ( ~class_Orderings_Otop(_u6416) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u6417, _u6416)), _u6418) = c_Orderings_Otop__class_Otop(_u6416)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__lessThan__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 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))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__UN ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__UN-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6421), _u6422)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6421, tc_fun(_u6423, tc_HOL_Obool)), _u6422), _u6424))) | ~hBOOL(hAPP(hAPP(c_member(_u6421), _u6419), _u6422)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(_u6424, _u6419))) )).
% 43.36/43.56 cnf(fact_finite__UN-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6421), _u6422)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6421, tc_fun(_u6423, tc_HOL_Obool)), _u6422), _u6424))) | hBOOL(hAPP(hAPP(c_member(_u6421), skolem180(_u6424, _u6423, _u6422, _u6421)), _u6422)) )).
% 43.36/43.56 cnf(fact_finite__UN-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6421), _u6422)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6421, tc_fun(_u6423, tc_HOL_Obool)), _u6422), _u6424))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(_u6424, skolem180(_u6424, _u6423, _u6422, _u6421)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__fun__UNIVD2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__fun__UNIVD2-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6426), c_Orderings_Otop__class_Otop(tc_fun(_u6426, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6425, _u6426)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u6425, _u6426), tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__UN__finite__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__UN__finite__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6427, 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(_u6427, tc_HOL_Obool)), tc_fun(_u6427, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u6427, tc_HOL_Obool)), tc_fun(_u6427, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6427, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u6428)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6427, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6428)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UNIV__not__empty ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UNIV__not__empty-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u6429, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u6429, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__UNIV-1, axiom, ( ~class_Finite__Set_Ofinite(_u6430) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6430), c_Orderings_Otop__class_Otop(tc_fun(_u6430, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_subset__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_subset__UNIV-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6431, tc_HOL_Obool)), _u6432), c_Orderings_Otop__class_Otop(tc_fun(_u6431, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Un__UNIV__left ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Un__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6433, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6433, tc_HOL_Obool))), _u6434) = c_Orderings_Otop__class_Otop(tc_fun(_u6433, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Un__UNIV__right ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Un__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6435, tc_HOL_Obool)), _u6436), c_Orderings_Otop__class_Otop(tc_fun(_u6435, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u6435, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__UNIV__left ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__UNIV__left-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6437, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6437, tc_HOL_Obool))), _u6438) = _u6438) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__UNIV__right ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__UNIV__right-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6439, tc_HOL_Obool)), _u6440), c_Orderings_Otop__class_Otop(tc_fun(_u6439, tc_HOL_Obool))) = _u6440) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__eq-1, axiom, ( ~c_Fun_Oinj__on(_u6441, _u6442, _u6443, c_Orderings_Otop__class_Otop(tc_fun(_u6441, tc_HOL_Obool))) | ( hAPP(_u6443, _u6444) != hAPP(_u6443, _u6445)) | ( _u6444 = _u6445) )).
% 43.36/43.56 cnf(fact_inj__eq-2, axiom, ( ~c_Fun_Oinj__on(_u6441, _u6442, _u6443, c_Orderings_Otop__class_Otop(tc_fun(_u6441, tc_HOL_Obool))) | ( _u6444 != _u6445) | ( hAPP(_u6443, _u6444) = hAPP(_u6443, _u6445)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_injD ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_injD-1, axiom, ( ( hAPP(_u6448, _u6449) != hAPP(_u6448, _u6450)) | ( _u6449 = _u6450) | ~c_Fun_Oinj__on(_u6446, _u6447, _u6448, c_Orderings_Otop__class_Otop(tc_fun(_u6446, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__int-1, axiom, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__Plus__UNIV__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__Plus__UNIV__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6453, _u6455)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6453, _u6455), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6453), c_Orderings_Otop__class_Otop(tc_fun(_u6453, tc_HOL_Obool)))) )).
% 43.36/43.56 cnf(fact_finite__Plus__UNIV__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6453, _u6455)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6453, _u6455), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6455), c_Orderings_Otop__class_Otop(tc_fun(_u6455, tc_HOL_Obool)))) )).
% 43.36/43.56 cnf(fact_finite__Plus__UNIV__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6454), c_Orderings_Otop__class_Otop(tc_fun(_u6454, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6456), c_Orderings_Otop__class_Otop(tc_fun(_u6456, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6454, _u6456)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6454, _u6456), tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_infinite__UNIV__nat ( axiom ) converted to clauses:
% 43.36/43.56 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)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UNIV__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UNIV__def-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u6457, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u6457), hAPP(c_COMBK(tc_HOL_Obool, _u6457), c_fTrue))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_range__composition ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_range__composition-1, axiom, ( ( hAPP(c_Set_Oimage(_u6458, _u6459, hAPP(hAPP(c_COMBB(_u6460, _u6459, _u6458), _u6461), _u6462)), c_Orderings_Otop__class_Otop(tc_fun(_u6458, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u6460, _u6459, _u6461), hAPP(c_Set_Oimage(_u6458, _u6460, _u6462), c_Orderings_Otop__class_Otop(tc_fun(_u6458, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__fun ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__fun-1, axiom, ( ~c_Fun_Oinj__on(_u6463, _u6464, _u6465, c_Orderings_Otop__class_Otop(tc_fun(_u6463, tc_HOL_Obool))) | c_Fun_Oinj__on(_u6463, tc_fun(_u6466, _u6464), hAPP(hAPP(c_COMBB(_u6464, tc_fun(_u6466, _u6464), _u6463), c_COMBK(_u6464, _u6466)), _u6465), c_Orderings_Otop__class_Otop(tc_fun(_u6463, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_top__greatest ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_top__greatest-1, axiom, ( ~class_Orderings_Otop(_u6467) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6467), _u6468), c_Orderings_Otop__class_Otop(_u6467))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_sup__top__left ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_sup__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u6469) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6469), c_Orderings_Otop__class_Otop(_u6469)), _u6470) = c_Orderings_Otop__class_Otop(_u6469)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_sup__top__right ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_sup__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u6471) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6471), _u6472), c_Orderings_Otop__class_Otop(_u6471)) = c_Orderings_Otop__class_Otop(_u6471)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inf__top__left ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inf__top__left-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u6473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6473), c_Orderings_Otop__class_Otop(_u6473)), _u6474) = _u6474) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inf__top__right ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inf__top__right-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u6475) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6475), _u6476), c_Orderings_Otop__class_Otop(_u6475)) = _u6476) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inf__eq__top__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inf__eq__top__iff-1, axiom, ( ~class_Lattices_Obounded__lattice__top(_u6477) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6477), _u6478), _u6479) != c_Orderings_Otop__class_Otop(_u6477)) | ( _u6478 = c_Orderings_Otop__class_Otop(_u6477)) )).
% 43.36/43.56 cnf(fact_inf__eq__top__iff-2, axiom, ( ~class_Lattices_Obounded__lattice__top(_u6477) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6477), _u6478), _u6479) != c_Orderings_Otop__class_Otop(_u6477)) | ( _u6479 = c_Orderings_Otop__class_Otop(_u6477)) )).
% 43.36/43.56 cnf(fact_inf__eq__top__iff-3, axiom, ( ~class_Lattices_Obounded__lattice__top(_u6477) | ( _u6478 != c_Orderings_Otop__class_Otop(_u6477)) | ( _u6479 != c_Orderings_Otop__class_Otop(_u6477)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6477), _u6478), _u6479) = c_Orderings_Otop__class_Otop(_u6477)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_range__eqI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_range__eqI-1, axiom, ( ( _u6480 != hAPP(_u6481, _u6482)) | hBOOL(hAPP(hAPP(c_member(_u6483), _u6480), hAPP(c_Set_Oimage(_u6484, _u6483, _u6481), c_Orderings_Otop__class_Otop(tc_fun(_u6484, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_rangeI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_rangeI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6485), hAPP(_u6486, _u6487)), hAPP(c_Set_Oimage(_u6488, _u6485, _u6486), c_Orderings_Otop__class_Otop(tc_fun(_u6488, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Diff__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Diff__UNIV-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6489, tc_HOL_Obool)), _u6490), c_Orderings_Otop__class_Otop(tc_fun(_u6489, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u6489, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__eq__UNIV__imp__eq__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_card__eq__UNIV__imp__eq__UNIV-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6491), c_Orderings_Otop__class_Otop(tc_fun(_u6491, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u6491), _u6492) != hAPP(c_Finite__Set_Ocard(_u6491), c_Orderings_Otop__class_Otop(tc_fun(_u6491, tc_HOL_Obool)))) | ( _u6492 = c_Orderings_Otop__class_Otop(tc_fun(_u6491, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__image__eq__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__image__eq__iff-1, axiom, ( ~c_Fun_Oinj__on(_u6493, _u6494, _u6495, c_Orderings_Otop__class_Otop(tc_fun(_u6493, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6493, _u6494, _u6495), _u6496) != hAPP(c_Set_Oimage(_u6493, _u6494, _u6495), _u6497)) | ( _u6496 = _u6497) )).
% 43.36/43.56 cnf(fact_inj__image__eq__iff-2, axiom, ( ~c_Fun_Oinj__on(_u6493, _u6494, _u6495, c_Orderings_Otop__class_Otop(tc_fun(_u6493, tc_HOL_Obool))) | ( _u6496 != _u6497) | ( hAPP(c_Set_Oimage(_u6493, _u6494, _u6495), _u6496) = hAPP(c_Set_Oimage(_u6493, _u6494, _u6495), _u6497)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Osingleton ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u6498) | ( c_Big__Operators_Olinorder__class_OMin(_u6498, hAPP(hAPP(c_Set_Oinsert(_u6498), _u6499), c_Orderings_Obot__class_Obot(tc_fun(_u6498, tc_HOL_Obool)))) = _u6499) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Osingleton ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u6500) | ( c_Big__Operators_Olinorder__class_OMax(_u6500, hAPP(hAPP(c_Set_Oinsert(_u6500), _u6501), c_Orderings_Obot__class_Obot(tc_fun(_u6500, tc_HOL_Obool)))) = _u6501) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__singleton ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__singleton-1, axiom, ( c_Fun_Oinj__on(_u6502, tc_fun(_u6502, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u6502, tc_fun(_u6502, tc_HOL_Obool), tc_fun(_u6502, tc_HOL_Obool)), c_Set_Oinsert(_u6502)), c_Orderings_Obot__class_Obot(tc_fun(_u6502, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u6502, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__Collect__not ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__Collect__not-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), hAPP(c_Set_OCollect(_u6503), _u6504))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), hAPP(c_Set_OCollect(_u6503), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6503), c_fNot), _u6504)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), c_Orderings_Otop__class_Otop(tc_fun(_u6503, tc_HOL_Obool)))) )).
% 43.36/43.56 cnf(fact_finite__Collect__not-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), hAPP(c_Set_OCollect(_u6503), _u6504))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), c_Orderings_Otop__class_Otop(tc_fun(_u6503, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), hAPP(c_Set_OCollect(_u6503), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6503), c_fNot), _u6504)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__range__imageI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__range__imageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6505), hAPP(c_Set_Oimage(_u6506, _u6505, _u6507), c_Orderings_Otop__class_Otop(tc_fun(_u6506, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6508), hAPP(c_Set_Oimage(_u6506, _u6508, hAPP(hAPP(c_COMBB(_u6505, _u6508, _u6506), _u6509), _u6507)), c_Orderings_Otop__class_Otop(tc_fun(_u6506, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_the__inv__f__f ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_the__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u6510, _u6511, _u6512, c_Orderings_Otop__class_Otop(tc_fun(_u6510, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u6510, _u6511, c_Orderings_Otop__class_Otop(tc_fun(_u6510, tc_HOL_Obool)), _u6512), hAPP(_u6512, _u6513)) = _u6513) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__fun__UNIVD1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__fun__UNIVD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6514, _u6515)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u6514, _u6515), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u6515), c_Orderings_Otop__class_Otop(tc_fun(_u6515, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6514), c_Orderings_Otop__class_Otop(tc_fun(_u6514, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__of__nat ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__of__nat-1, axiom, ( ~class_Nat_Osemiring__char__0(_u6516) | c_Fun_Oinj__on(tc_Nat_Onat, _u6516, c_Nat_Osemiring__1__class_Oof__nat(_u6516), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_atLeast__0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_atLeast__0-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_range__ex1__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_range__ex1__eq-1, axiom, ( ~c_Fun_Oinj__on(_u6521, _u6522, _u6523, c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6522), _u6524), hAPP(c_Set_Oimage(_u6521, _u6522, _u6523), c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))))) | ( _u6524 = hAPP(_u6523, skolem181(_u6524, _u6523, _u6522, _u6521))) )).
% 43.36/43.56 cnf(fact_range__ex1__eq-2, axiom, ( ~c_Fun_Oinj__on(_u6521, _u6522, _u6523, c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6522), _u6524), hAPP(c_Set_Oimage(_u6521, _u6522, _u6523), c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))))) | ( _u6524 != hAPP(_u6523, _u6517)) | ( _u6517 = skolem181(_u6524, _u6523, _u6522, _u6521)) )).
% 43.36/43.56 cnf(fact_range__ex1__eq-3, axiom, ( ~c_Fun_Oinj__on(_u6521, _u6522, _u6523, c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6522), _u6524), hAPP(c_Set_Oimage(_u6521, _u6522, _u6523), c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))))) | ( _u6524 != hAPP(_u6523, _u6520)) | ( _u6524 = hAPP(_u6523, skolem182(_u6524, _u6523, _u6522, _u6521, _u6520))) )).
% 43.36/43.56 cnf(fact_range__ex1__eq-4, axiom, ( ~c_Fun_Oinj__on(_u6521, _u6522, _u6523, c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6522), _u6524), hAPP(c_Set_Oimage(_u6521, _u6522, _u6523), c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))))) | ( _u6524 != hAPP(_u6523, _u6520)) | ( skolem182(_u6524, _u6523, _u6522, _u6521, _u6520) != _u6520) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__image__mem__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__image__mem__iff-1, axiom, ( ~c_Fun_Oinj__on(_u6525, _u6526, _u6527, c_Orderings_Otop__class_Otop(tc_fun(_u6525, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6526), hAPP(_u6527, _u6528)), hAPP(c_Set_Oimage(_u6525, _u6526, _u6527), _u6529))) | hBOOL(hAPP(hAPP(c_member(_u6525), _u6528), _u6529)) )).
% 43.36/43.56 cnf(fact_inj__image__mem__iff-2, axiom, ( ~c_Fun_Oinj__on(_u6525, _u6526, _u6527, c_Orderings_Otop__class_Otop(tc_fun(_u6525, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6525), _u6528), _u6529)) | hBOOL(hAPP(hAPP(c_member(_u6526), hAPP(_u6527, _u6528)), hAPP(c_Set_Oimage(_u6525, _u6526, _u6527), _u6529))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__UNIV__inj__surj ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__UNIV__inj__surj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6530), c_Orderings_Otop__class_Otop(tc_fun(_u6530, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u6530, _u6530, _u6531, c_Orderings_Otop__class_Otop(tc_fun(_u6530, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6530, _u6530, _u6531), c_Orderings_Otop__class_Otop(tc_fun(_u6530, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u6530, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__UNIV__surj__inj ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__UNIV__surj__inj-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6532), c_Orderings_Otop__class_Otop(tc_fun(_u6532, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u6532, _u6532, _u6533), c_Orderings_Otop__class_Otop(tc_fun(_u6532, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u6532, tc_HOL_Obool))) | c_Fun_Oinj__on(_u6532, _u6532, _u6533, c_Orderings_Otop__class_Otop(tc_fun(_u6532, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__image__subset__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__image__subset__iff-1, axiom, ( ~c_Fun_Oinj__on(_u6534, _u6535, _u6536, c_Orderings_Otop__class_Otop(tc_fun(_u6534, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6535, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6534, _u6535, _u6536), _u6537)), hAPP(c_Set_Oimage(_u6534, _u6535, _u6536), _u6538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6534, tc_HOL_Obool)), _u6537), _u6538)) )).
% 43.36/43.56 cnf(fact_inj__image__subset__iff-2, axiom, ( ~c_Fun_Oinj__on(_u6534, _u6535, _u6536, c_Orderings_Otop__class_Otop(tc_fun(_u6534, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6534, tc_HOL_Obool)), _u6537), _u6538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6535, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6534, _u6535, _u6536), _u6537)), hAPP(c_Set_Oimage(_u6534, _u6535, _u6536), _u6538))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__Int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__Int-1, axiom, ( ~c_Fun_Oinj__on(_u6539, _u6540, _u6541, c_Orderings_Otop__class_Otop(tc_fun(_u6539, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6539, _u6540, _u6541), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6539, tc_HOL_Obool)), _u6542), _u6543)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6540, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6539, _u6540, _u6541), _u6542)), hAPP(c_Set_Oimage(_u6539, _u6540, _u6541), _u6543))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__set__diff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__set__diff-1, axiom, ( ~c_Fun_Oinj__on(_u6544, _u6545, _u6546, c_Orderings_Otop__class_Otop(tc_fun(_u6544, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6544, _u6545, _u6546), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6544, tc_HOL_Obool)), _u6547), _u6548)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6545, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6544, _u6545, _u6546), _u6547)), hAPP(c_Set_Oimage(_u6544, _u6545, _u6546), _u6548))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max__ge ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max__ge-1, axiom, ( ~class_Orderings_Olinorder(_u6549) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6549), _u6550)) | ~hBOOL(hAPP(hAPP(c_member(_u6549), _u6551), _u6550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6549), _u6551), c_Big__Operators_Olinorder__class_OMax(_u6549, _u6550))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min__le ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min__le-1, axiom, ( ~class_Orderings_Olinorder(_u6552) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6552), _u6553)) | ~hBOOL(hAPP(hAPP(c_member(_u6552), _u6554), _u6553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), c_Big__Operators_Olinorder__class_OMin(_u6552, _u6553)), _u6554)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min__in ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min__in-1, axiom, ( ~class_Orderings_Olinorder(_u6555) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6555), _u6556)) | ( _u6556 = c_Orderings_Obot__class_Obot(tc_fun(_u6555, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6555), c_Big__Operators_Olinorder__class_OMin(_u6555, _u6556)), _u6556)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max__in ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max__in-1, axiom, ( ~class_Orderings_Olinorder(_u6557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6557), _u6558)) | ( _u6558 = c_Orderings_Obot__class_Obot(tc_fun(_u6557, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6557), c_Big__Operators_Olinorder__class_OMax(_u6557, _u6558)), _u6558)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__le__add__shift ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__le__add__shift-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6559, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u6560)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u6559, tc_HOL_Obool), tc_Nat_Onat), _u6561), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u6562))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6559, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u6562, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6560), _u6562))), _u6561)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__UNIV__card__ge__0 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__UNIV__card__ge__0-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6563), c_Orderings_Otop__class_Otop(tc_fun(_u6563, 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(_u6563), c_Orderings_Otop__class_Otop(tc_fun(_u6563, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max__mono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max__mono-1, axiom, ( ~class_Orderings_Olinorder(_u6564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6564, tc_HOL_Obool)), _u6565), _u6566)) | ( _u6565 = c_Orderings_Obot__class_Obot(tc_fun(_u6564, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6564), _u6566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6564), c_Big__Operators_Olinorder__class_OMax(_u6564, _u6565)), c_Big__Operators_Olinorder__class_OMax(_u6564, _u6566))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min__antimono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u6567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6567, tc_HOL_Obool)), _u6568), _u6569)) | ( _u6568 = c_Orderings_Obot__class_Obot(tc_fun(_u6567, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6567), _u6569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), c_Big__Operators_Olinorder__class_OMin(_u6567, _u6569)), c_Big__Operators_Olinorder__class_OMin(_u6567, _u6568))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__I ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6570), _u6571), _u6572)) | ~hBOOL(hAPP(hAPP(c_member(_u6573), _u6574), hAPP(_u6575, _u6571))) | hBOOL(hAPP(hAPP(c_member(_u6573), _u6574), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6570, tc_fun(_u6573, tc_HOL_Obool)), _u6572), _u6575))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__eq__UN ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__eq__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u6576, _u6577, _u6578), _u6579) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6576, tc_fun(_u6577, tc_HOL_Obool)), _u6579), hAPP(hAPP(c_COMBC(_u6576, tc_fun(_u6577, tc_HOL_Obool), tc_fun(_u6577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u6577, tc_fun(tc_fun(_u6577, tc_HOL_Obool), tc_fun(_u6577, tc_HOL_Obool)), _u6576), c_Set_Oinsert(_u6577)), _u6578)), c_Orderings_Obot__class_Obot(tc_fun(_u6577, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__Pow__subset ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__Pow__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u6580, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6581, tc_fun(tc_fun(_u6580, tc_HOL_Obool), tc_HOL_Obool)), _u6582), hAPP(hAPP(c_COMBB(tc_fun(_u6580, tc_HOL_Obool), tc_fun(tc_fun(_u6580, tc_HOL_Obool), tc_HOL_Obool), _u6581), c_Set_OPow(_u6580)), _u6583))), hAPP(c_Set_OPow(_u6580), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6581, tc_fun(_u6580, tc_HOL_Obool)), _u6582), _u6583)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__insert ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6584, tc_fun(_u6585, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u6584), _u6586), _u6587)), _u6588) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6585, tc_HOL_Obool)), hAPP(_u6588, _u6586)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6584, tc_fun(_u6585, tc_HOL_Obool)), _u6587), _u6588))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__simps_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__simps_I3_J-1, axiom, ( ( _u6594 != c_Orderings_Obot__class_Obot(tc_fun(_u6596, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6596, tc_fun(_u6598, tc_HOL_Obool)), _u6594), hAPP(hAPP(c_COMBB(tc_fun(_u6598, tc_HOL_Obool), tc_fun(_u6598, tc_HOL_Obool), _u6596), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6598, tc_HOL_Obool)), _u6600)), _u6602)) = c_Orderings_Obot__class_Obot(tc_fun(_u6598, tc_HOL_Obool))) )).
% 43.36/43.56 cnf(fact_UN__simps_I3_J-2, axiom, ( ( _u6595 = c_Orderings_Obot__class_Obot(tc_fun(_u6597, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6597, tc_fun(_u6599, tc_HOL_Obool)), _u6595), hAPP(hAPP(c_COMBB(tc_fun(_u6599, tc_HOL_Obool), tc_fun(_u6599, tc_HOL_Obool), _u6597), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6599, tc_HOL_Obool)), _u6601)), _u6603)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6599, tc_HOL_Obool)), _u6601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6597, tc_fun(_u6599, tc_HOL_Obool)), _u6595), _u6603))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__simps_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__simps_I2_J-1, axiom, ( ( _u6609 != c_Orderings_Obot__class_Obot(tc_fun(_u6611, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6611, tc_fun(_u6613, tc_HOL_Obool)), _u6609), hAPP(hAPP(c_COMBC(_u6611, tc_fun(_u6613, tc_HOL_Obool), tc_fun(_u6613, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6613, tc_HOL_Obool), tc_fun(tc_fun(_u6613, tc_HOL_Obool), tc_fun(_u6613, tc_HOL_Obool)), _u6611), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6613, tc_HOL_Obool))), _u6615)), _u6617)) = c_Orderings_Obot__class_Obot(tc_fun(_u6613, tc_HOL_Obool))) )).
% 43.36/43.56 cnf(fact_UN__simps_I2_J-2, axiom, ( ( _u6610 = c_Orderings_Obot__class_Obot(tc_fun(_u6612, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6612, tc_fun(_u6614, tc_HOL_Obool)), _u6610), hAPP(hAPP(c_COMBC(_u6612, tc_fun(_u6614, tc_HOL_Obool), tc_fun(_u6614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6614, tc_HOL_Obool), tc_fun(tc_fun(_u6614, tc_HOL_Obool), tc_fun(_u6614, tc_HOL_Obool)), _u6612), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6614, tc_HOL_Obool))), _u6616)), _u6618)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6614, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6612, tc_fun(_u6614, tc_HOL_Obool)), _u6610), _u6616)), _u6618)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_card__UNIV__unit ( axiom ) converted to clauses:
% 43.36/43.56 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)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_infinite__UNIV__int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_infinite__UNIV__int-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_ball__UN ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_ball__UN-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6632), _u6621), _u6634)) | ~hBOOL(hAPP(hAPP(c_member(_u6630), _u6620), hAPP(_u6636, _u6621))) | hBOOL(hAPP(_u6638, _u6620)) | hBOOL(hAPP(hAPP(c_member(_u6630), skolem183(_u6638, _u6636, _u6634, _u6632, _u6630)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6632, tc_fun(_u6630, tc_HOL_Obool)), _u6634), _u6636))) )).
% 43.36/43.56 cnf(fact_ball__UN-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6632), _u6621), _u6634)) | ~hBOOL(hAPP(hAPP(c_member(_u6630), _u6620), hAPP(_u6636, _u6621))) | hBOOL(hAPP(_u6638, _u6620)) | ~hBOOL(hAPP(_u6638, skolem183(_u6638, _u6636, _u6634, _u6632, _u6630))) )).
% 43.36/43.56 cnf(fact_ball__UN-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6631), _u6624), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6633, tc_fun(_u6631, tc_HOL_Obool)), _u6635), _u6637))) | hBOOL(hAPP(_u6639, _u6624)) | hBOOL(hAPP(hAPP(c_member(_u6633), skolem184(_u6639, _u6637, _u6635, _u6633, _u6631)), _u6635)) )).
% 43.36/43.56 cnf(fact_ball__UN-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6631), _u6624), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6633, tc_fun(_u6631, tc_HOL_Obool)), _u6635), _u6637))) | hBOOL(hAPP(_u6639, _u6624)) | hBOOL(hAPP(hAPP(c_member(_u6631), skolem185(_u6639, _u6637, _u6635, _u6633, _u6631)), hAPP(_u6637, skolem184(_u6639, _u6637, _u6635, _u6633, _u6631)))) )).
% 43.36/43.56 cnf(fact_ball__UN-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6631), _u6624), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6633, tc_fun(_u6631, tc_HOL_Obool)), _u6635), _u6637))) | hBOOL(hAPP(_u6639, _u6624)) | ~hBOOL(hAPP(_u6639, skolem185(_u6639, _u6637, _u6635, _u6633, _u6631))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUP__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUP__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6640) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6641, _u6640), _u6642), hAPP(hAPP(c_COMBB(tc_fun(_u6643, _u6640), _u6640, _u6641), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6643, _u6640), _u6644)), _u6645)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6643, _u6640), _u6644), hAPP(hAPP(c_COMBB(tc_fun(_u6641, _u6640), _u6640, _u6643), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6641, _u6640), _u6642)), hAPP(c_COMBC(_u6641, _u6643, _u6640), _u6645)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__extend__simps_I9_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6646, tc_fun(_u6647, tc_HOL_Obool)), _u6648), hAPP(hAPP(c_COMBC(_u6646, tc_fun(_u6649, tc_fun(_u6647, tc_HOL_Obool)), tc_fun(_u6647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6649, tc_HOL_Obool), tc_fun(tc_fun(_u6649, tc_fun(_u6647, tc_HOL_Obool)), tc_fun(_u6647, tc_HOL_Obool)), _u6646), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6649, tc_fun(_u6647, tc_HOL_Obool))), _u6650)), _u6651)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6649, tc_fun(_u6647, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6646, tc_fun(_u6649, tc_HOL_Obool)), _u6648), _u6650)), _u6651)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__simps_I9_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6652, tc_fun(_u6653, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6654, tc_fun(_u6652, tc_HOL_Obool)), _u6655), _u6656)), _u6657) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6654, tc_fun(_u6653, tc_HOL_Obool)), _u6655), hAPP(hAPP(c_COMBC(_u6654, tc_fun(_u6652, tc_fun(_u6653, tc_HOL_Obool)), tc_fun(_u6653, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6652, tc_HOL_Obool), tc_fun(tc_fun(_u6652, tc_fun(_u6653, tc_HOL_Obool)), tc_fun(_u6653, tc_HOL_Obool)), _u6654), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6652, tc_fun(_u6653, tc_HOL_Obool))), _u6656)), _u6657))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__UN__flatten ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__UN__flatten-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6658, tc_fun(_u6659, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6660, tc_fun(_u6658, tc_HOL_Obool)), _u6661), _u6662)), _u6663) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6660, tc_fun(_u6659, tc_HOL_Obool)), _u6661), hAPP(hAPP(c_COMBC(_u6660, tc_fun(_u6658, tc_fun(_u6659, tc_HOL_Obool)), tc_fun(_u6659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6658, tc_HOL_Obool), tc_fun(tc_fun(_u6658, tc_fun(_u6659, tc_HOL_Obool)), tc_fun(_u6659, tc_HOL_Obool)), _u6660), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6658, tc_fun(_u6659, tc_HOL_Obool))), _u6662)), _u6663))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUP__le__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUP__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6667, _u6666), _u6668), _u6669)), _u6670)) | ~hBOOL(hAPP(hAPP(c_member(_u6667), _u6664), _u6668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(_u6669, _u6664)), _u6670)) )).
% 43.36/43.56 cnf(fact_SUP__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6666) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6667, _u6666), _u6668), _u6669)), _u6670)) | hBOOL(hAPP(hAPP(c_member(_u6667), skolem186(_u6670, _u6669, _u6668, _u6667, _u6666)), _u6668)) )).
% 43.36/43.56 cnf(fact_SUP__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6666) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6667, _u6666), _u6668), _u6669)), _u6670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(_u6669, skolem186(_u6670, _u6669, _u6668, _u6667, _u6666))), _u6670)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_less__SUP__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_less__SUP__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6673) | ~class_Orderings_Olinorder(_u6673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6675, _u6673), _u6676), _u6677))) | hBOOL(hAPP(hAPP(c_member(_u6675), skolem187(_u6677, _u6676, _u6675, _u6674, _u6673)), _u6676)) )).
% 43.36/43.56 cnf(fact_less__SUP__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6673) | ~class_Orderings_Olinorder(_u6673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6675, _u6673), _u6676), _u6677))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(_u6677, skolem187(_u6677, _u6676, _u6675, _u6674, _u6673)))) )).
% 43.36/43.56 cnf(fact_less__SUP__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6673) | ~class_Orderings_Olinorder(_u6673) | ~hBOOL(hAPP(hAPP(c_member(_u6675), _u6672), _u6676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(_u6677, _u6672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6675, _u6673), _u6676), _u6677))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6685), _u6687), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6689, tc_fun(_u6685, tc_HOL_Obool)), _u6691), _u6693))) | hBOOL(hAPP(hAPP(c_member(_u6689), skolem188(_u6693, _u6691, _u6689, _u6687, _u6685)), _u6691)) )).
% 43.36/43.56 cnf(fact_UN__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6685), _u6687), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6689, tc_fun(_u6685, tc_HOL_Obool)), _u6691), _u6693))) | hBOOL(hAPP(hAPP(c_member(_u6685), _u6687), hAPP(_u6693, skolem188(_u6693, _u6691, _u6689, _u6687, _u6685)))) )).
% 43.36/43.56 cnf(fact_UN__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6690), _u6679), _u6692)) | ~hBOOL(hAPP(hAPP(c_member(_u6686), _u6688), hAPP(_u6694, _u6679))) | hBOOL(hAPP(hAPP(c_member(_u6686), _u6688), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6690, tc_fun(_u6686, tc_HOL_Obool)), _u6692), _u6694))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUP__const ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUP__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6695) | ( _u6696 = c_Orderings_Obot__class_Obot(tc_fun(_u6697, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6697, _u6695), _u6696), hAPP(c_COMBK(_u6695, _u6697), _u6698)) = _u6698) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UNION__empty__conv_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UNION__empty__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6705, tc_fun(_u6707, tc_HOL_Obool)), _u6709), _u6711) != c_Orderings_Obot__class_Obot(tc_fun(_u6707, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6705), _u6699), _u6709)) | ( hAPP(_u6711, _u6699) = c_Orderings_Obot__class_Obot(tc_fun(_u6707, tc_HOL_Obool))) )).
% 43.36/43.56 cnf(fact_UNION__empty__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6706, tc_fun(_u6708, tc_HOL_Obool)), _u6710), _u6712) = c_Orderings_Obot__class_Obot(tc_fun(_u6708, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6706), skolem189(_u6712, _u6710, _u6708, _u6706)), _u6710)) )).
% 43.36/43.56 cnf(fact_UNION__empty__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6706, tc_fun(_u6708, tc_HOL_Obool)), _u6710), _u6712) = c_Orderings_Obot__class_Obot(tc_fun(_u6708, tc_HOL_Obool))) | ( hAPP(_u6712, skolem189(_u6712, _u6710, _u6708, _u6706)) != c_Orderings_Obot__class_Obot(tc_fun(_u6708, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__constant ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__constant-1, axiom, ( ( _u6717 != c_Orderings_Obot__class_Obot(tc_fun(_u6719, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6719, tc_fun(_u6721, tc_HOL_Obool)), _u6717), hAPP(c_COMBK(tc_fun(_u6721, tc_HOL_Obool), _u6719), _u6723)) = c_Orderings_Obot__class_Obot(tc_fun(_u6721, tc_HOL_Obool))) )).
% 43.36/43.56 cnf(fact_UN__constant-2, axiom, ( ( _u6718 = c_Orderings_Obot__class_Obot(tc_fun(_u6720, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6720, tc_fun(_u6722, tc_HOL_Obool)), _u6718), hAPP(c_COMBK(tc_fun(_u6722, tc_HOL_Obool), _u6720), _u6724)) = _u6724) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__empty2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__empty2-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6725, tc_fun(_u6726, tc_HOL_Obool)), _u6727), hAPP(c_COMBK(tc_fun(_u6726, tc_HOL_Obool), _u6725), c_Orderings_Obot__class_Obot(tc_fun(_u6726, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u6726, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UNION__empty__conv_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UNION__empty__conv_I1_J-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u6734, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6736, tc_fun(_u6734, tc_HOL_Obool)), _u6738), _u6740)) | ~hBOOL(hAPP(hAPP(c_member(_u6736), _u6728), _u6738)) | ( hAPP(_u6740, _u6728) = c_Orderings_Obot__class_Obot(tc_fun(_u6734, tc_HOL_Obool))) )).
% 43.36/43.56 cnf(fact_UNION__empty__conv_I1_J-2, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u6735, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6737, tc_fun(_u6735, tc_HOL_Obool)), _u6739), _u6741)) | hBOOL(hAPP(hAPP(c_member(_u6737), skolem190(_u6741, _u6739, _u6737, _u6735)), _u6739)) )).
% 43.36/43.56 cnf(fact_UNION__empty__conv_I1_J-3, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u6735, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6737, tc_fun(_u6735, tc_HOL_Obool)), _u6739), _u6741)) | ( hAPP(_u6741, skolem190(_u6741, _u6739, _u6737, _u6735)) != c_Orderings_Obot__class_Obot(tc_fun(_u6735, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__subset__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6749, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6751, tc_fun(_u6749, tc_HOL_Obool)), _u6753), _u6755)), _u6757)) | ~hBOOL(hAPP(hAPP(c_member(_u6751), _u6742), _u6753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6749, tc_HOL_Obool)), hAPP(_u6755, _u6742)), _u6757)) )).
% 43.36/43.56 cnf(fact_UN__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6750, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6752, tc_fun(_u6750, tc_HOL_Obool)), _u6754), _u6756)), _u6758)) | hBOOL(hAPP(hAPP(c_member(_u6752), skolem191(_u6758, _u6756, _u6754, _u6752, _u6750)), _u6754)) )).
% 43.36/43.56 cnf(fact_UN__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6750, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6752, tc_fun(_u6750, tc_HOL_Obool)), _u6754), _u6756)), _u6758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6750, tc_HOL_Obool)), hAPP(_u6756, skolem191(_u6758, _u6756, _u6754, _u6752, _u6750))), _u6758)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__extend__simps_I10_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6759, tc_fun(_u6760, tc_HOL_Obool)), _u6761), hAPP(hAPP(c_COMBB(_u6762, tc_fun(_u6760, tc_HOL_Obool), _u6759), _u6763), _u6764)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6762, tc_fun(_u6760, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6759, _u6762, _u6764), _u6761)), _u6763)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__UN ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__UN-1, axiom, ( ( hAPP(c_Set_Oimage(_u6765, _u6766, _u6767), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6768, tc_fun(_u6765, tc_HOL_Obool)), _u6769), _u6770)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6768, tc_fun(_u6766, tc_HOL_Obool)), _u6769), hAPP(hAPP(c_COMBB(tc_fun(_u6765, tc_HOL_Obool), tc_fun(_u6766, tc_HOL_Obool), _u6768), c_Set_Oimage(_u6765, _u6766, _u6767)), _u6770))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__simps_I10_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6771, tc_fun(_u6772, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6773, _u6771, _u6774), _u6775)), _u6776) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6773, tc_fun(_u6772, tc_HOL_Obool)), _u6775), hAPP(hAPP(c_COMBB(_u6771, tc_fun(_u6772, tc_HOL_Obool), _u6773), _u6776), _u6774))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__Un__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__Un__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6777, tc_fun(_u6778, tc_HOL_Obool)), _u6779), hAPP(hAPP(c_COMBS(_u6777, tc_fun(_u6778, tc_HOL_Obool), tc_fun(_u6778, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6778, tc_HOL_Obool), tc_fun(tc_fun(_u6778, tc_HOL_Obool), tc_fun(_u6778, tc_HOL_Obool)), _u6777), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6778, tc_HOL_Obool))), _u6780)), _u6781)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6778, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6777, tc_fun(_u6778, tc_HOL_Obool)), _u6779), _u6780)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6777, tc_fun(_u6778, tc_HOL_Obool)), _u6779), _u6781))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__Un ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6782, tc_fun(_u6783, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6782, tc_HOL_Obool)), _u6784), _u6785)), _u6786) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6783, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6782, tc_fun(_u6783, tc_HOL_Obool)), _u6784), _u6786)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6782, tc_fun(_u6783, tc_HOL_Obool)), _u6785), _u6786))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__simps_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6787, tc_fun(_u6788, tc_HOL_Obool)), _u6789), hAPP(hAPP(c_COMBB(tc_fun(_u6788, tc_HOL_Obool), tc_fun(_u6788, tc_HOL_Obool), _u6787), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6788, tc_HOL_Obool)), _u6790)), _u6791)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6788, tc_HOL_Obool)), _u6790), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6787, tc_fun(_u6788, tc_HOL_Obool)), _u6789), _u6791))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__simps_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6792, tc_fun(_u6793, tc_HOL_Obool)), _u6794), hAPP(hAPP(c_COMBC(_u6792, tc_fun(_u6793, tc_HOL_Obool), tc_fun(_u6793, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6793, tc_HOL_Obool), tc_fun(tc_fun(_u6793, tc_HOL_Obool), tc_fun(_u6793, tc_HOL_Obool)), _u6792), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6793, tc_HOL_Obool))), _u6795)), _u6796)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6793, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6792, tc_fun(_u6793, tc_HOL_Obool)), _u6794), _u6795)), _u6796)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__extend__simps_I5_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6797, tc_HOL_Obool)), _u6798), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6799, tc_fun(_u6797, tc_HOL_Obool)), _u6800), _u6801)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6799, tc_fun(_u6797, tc_HOL_Obool)), _u6800), hAPP(hAPP(c_COMBB(tc_fun(_u6797, tc_HOL_Obool), tc_fun(_u6797, tc_HOL_Obool), _u6799), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6797, tc_HOL_Obool)), _u6798)), _u6801))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__UN__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__UN__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6802, tc_HOL_Obool)), _u6803), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6804, tc_fun(_u6802, tc_HOL_Obool)), _u6805), _u6806)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6804, tc_fun(_u6802, tc_HOL_Obool)), _u6805), hAPP(hAPP(c_COMBB(tc_fun(_u6802, tc_HOL_Obool), tc_fun(_u6802, tc_HOL_Obool), _u6804), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6802, tc_HOL_Obool)), _u6803)), _u6806))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__extend__simps_I4_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__extend__simps_I4_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6807, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6808, tc_fun(_u6807, tc_HOL_Obool)), _u6809), _u6810)), _u6811) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6808, tc_fun(_u6807, tc_HOL_Obool)), _u6809), hAPP(hAPP(c_COMBC(_u6808, tc_fun(_u6807, tc_HOL_Obool), tc_fun(_u6807, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6807, tc_HOL_Obool), tc_fun(tc_fun(_u6807, tc_HOL_Obool), tc_fun(_u6807, tc_HOL_Obool)), _u6808), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6807, tc_HOL_Obool))), _u6810)), _u6811))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__UN__distrib2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__UN__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6812, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6813, tc_fun(_u6812, tc_HOL_Obool)), _u6814), _u6815)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6816, tc_fun(_u6812, tc_HOL_Obool)), _u6817), _u6818)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6813, tc_fun(_u6812, tc_HOL_Obool)), _u6814), hAPP(hAPP(c_COMBB(tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool)), tc_fun(_u6812, tc_HOL_Obool), _u6813), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6816, tc_fun(_u6812, tc_HOL_Obool)), _u6817)), hAPP(hAPP(c_COMBC(_u6813, tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool)), tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u6812, tc_HOL_Obool), tc_fun(_u6812, tc_HOL_Obool)), tc_fun(tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool)), tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool))), _u6813), c_COMBB(tc_fun(_u6812, tc_HOL_Obool), tc_fun(_u6812, tc_HOL_Obool), _u6816)), hAPP(hAPP(c_COMBB(tc_fun(_u6812, tc_HOL_Obool), tc_fun(tc_fun(_u6812, tc_HOL_Obool), tc_fun(_u6812, tc_HOL_Obool)), _u6813), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6812, tc_HOL_Obool))), _u6815))), _u6818)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUPR__apply ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUPR__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6819) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6820, tc_fun(_u6821, _u6819)), _u6822), _u6823), _u6824) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6820, _u6819), _u6822), hAPP(hAPP(c_COMBC(_u6820, _u6821, _u6819), _u6823), _u6824))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__simps_I6_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6825, tc_fun(_u6826, tc_HOL_Obool)), _u6827), hAPP(hAPP(c_COMBC(_u6825, tc_fun(_u6826, tc_HOL_Obool), tc_fun(_u6826, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6826, tc_HOL_Obool), tc_fun(tc_fun(_u6826, tc_HOL_Obool), tc_fun(_u6826, tc_HOL_Obool)), _u6825), c_Groups_Ominus__class_Ominus(tc_fun(_u6826, tc_HOL_Obool))), _u6828)), _u6829)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6826, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6825, tc_fun(_u6826, tc_HOL_Obool)), _u6827), _u6828)), _u6829)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__extend__simps_I6_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6830, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6831, tc_fun(_u6830, tc_HOL_Obool)), _u6832), _u6833)), _u6834) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6831, tc_fun(_u6830, tc_HOL_Obool)), _u6832), hAPP(hAPP(c_COMBC(_u6831, tc_fun(_u6830, tc_HOL_Obool), tc_fun(_u6830, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6830, tc_HOL_Obool), tc_fun(tc_fun(_u6830, tc_HOL_Obool), tc_fun(_u6830, tc_HOL_Obool)), _u6831), c_Groups_Ominus__class_Ominus(tc_fun(_u6830, tc_HOL_Obool))), _u6833)), _u6834))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUP__subset ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUP__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6836, tc_HOL_Obool)), _u6837), _u6838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6835), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6836, _u6835), _u6837), _u6839)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6836, _u6835), _u6838), _u6839))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_le__SUPI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_le__SUPI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6840) | ~hBOOL(hAPP(hAPP(c_member(_u6841), _u6842), _u6843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6840), hAPP(_u6844, _u6842)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6841, _u6840), _u6843), _u6844))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__insert__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6845), _u6846), _u6847)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6845, tc_fun(_u6848, tc_HOL_Obool)), _u6847), hAPP(hAPP(c_COMBB(tc_fun(_u6848, tc_HOL_Obool), tc_fun(_u6848, tc_HOL_Obool), _u6845), hAPP(c_Set_Oinsert(_u6848), _u6849)), _u6850)) = hAPP(hAPP(c_Set_Oinsert(_u6848), _u6849), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6845, tc_fun(_u6848, tc_HOL_Obool)), _u6847), _u6850))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__upper ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6851), _u6852), _u6853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6854, tc_HOL_Obool)), hAPP(_u6855, _u6852)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6851, tc_fun(_u6854, tc_HOL_Obool)), _u6853), _u6855))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__absorb ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6856), _u6857), _u6858)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6859, tc_HOL_Obool)), hAPP(_u6860, _u6857)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6856, tc_fun(_u6859, tc_HOL_Obool)), _u6858), _u6860)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6856, tc_fun(_u6859, tc_HOL_Obool)), _u6858), _u6860)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__simps_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__simps_I1_J-1, axiom, ( ( _u6866 != c_Orderings_Obot__class_Obot(tc_fun(_u6868, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6868, tc_fun(_u6870, tc_HOL_Obool)), _u6866), hAPP(hAPP(c_COMBB(tc_fun(_u6870, tc_HOL_Obool), tc_fun(_u6870, tc_HOL_Obool), _u6868), hAPP(c_Set_Oinsert(_u6870), _u6872)), _u6874)) = c_Orderings_Obot__class_Obot(tc_fun(_u6870, tc_HOL_Obool))) )).
% 43.36/43.56 cnf(fact_UN__simps_I1_J-2, axiom, ( ( _u6867 = c_Orderings_Obot__class_Obot(tc_fun(_u6869, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6869, tc_fun(_u6871, tc_HOL_Obool)), _u6867), hAPP(hAPP(c_COMBB(tc_fun(_u6871, tc_HOL_Obool), tc_fun(_u6871, tc_HOL_Obool), _u6869), hAPP(c_Set_Oinsert(_u6871), _u6873)), _u6875)) = hAPP(hAPP(c_Set_Oinsert(_u6871), _u6873), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6869, tc_fun(_u6871, tc_HOL_Obool)), _u6867), _u6875))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__singleton ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__singleton-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6876, tc_fun(_u6876, tc_HOL_Obool)), _u6877), hAPP(hAPP(c_COMBC(_u6876, tc_fun(_u6876, tc_HOL_Obool), tc_fun(_u6876, tc_HOL_Obool)), c_Set_Oinsert(_u6876)), c_Orderings_Obot__class_Obot(tc_fun(_u6876, tc_HOL_Obool)))) = _u6877) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__extend__simps_I1_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__extend__simps_I1_J-1, axiom, ( ( _u6883 != c_Orderings_Obot__class_Obot(tc_fun(_u6885, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u6887), _u6889), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6885, tc_fun(_u6887, tc_HOL_Obool)), _u6883), _u6891)) = hAPP(hAPP(c_Set_Oinsert(_u6887), _u6889), c_Orderings_Obot__class_Obot(tc_fun(_u6887, tc_HOL_Obool)))) )).
% 43.36/43.56 cnf(fact_UN__extend__simps_I1_J-2, axiom, ( ( _u6884 = c_Orderings_Obot__class_Obot(tc_fun(_u6886, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u6888), _u6890), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6886, tc_fun(_u6888, tc_HOL_Obool)), _u6884), _u6892)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6886, tc_fun(_u6888, tc_HOL_Obool)), _u6884), hAPP(hAPP(c_COMBB(tc_fun(_u6888, tc_HOL_Obool), tc_fun(_u6888, tc_HOL_Obool), _u6886), hAPP(c_Set_Oinsert(_u6888), _u6890)), _u6892))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__extend__simps_I2_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__extend__simps_I2_J-1, axiom, ( ( _u6898 != c_Orderings_Obot__class_Obot(tc_fun(_u6900, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6902, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6900, tc_fun(_u6902, tc_HOL_Obool)), _u6898), _u6904)), _u6906) = _u6906) )).
% 43.36/43.56 cnf(fact_UN__extend__simps_I2_J-2, axiom, ( ( _u6899 = c_Orderings_Obot__class_Obot(tc_fun(_u6901, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6903, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6901, tc_fun(_u6903, tc_HOL_Obool)), _u6899), _u6905)), _u6907) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6901, tc_fun(_u6903, tc_HOL_Obool)), _u6899), hAPP(hAPP(c_COMBC(_u6901, tc_fun(_u6903, tc_HOL_Obool), tc_fun(_u6903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6903, tc_HOL_Obool), tc_fun(tc_fun(_u6903, tc_HOL_Obool), tc_fun(_u6903, tc_HOL_Obool)), _u6901), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6903, tc_HOL_Obool))), _u6905)), _u6907))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__extend__simps_I3_J ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__extend__simps_I3_J-1, axiom, ( ( _u6913 != c_Orderings_Obot__class_Obot(tc_fun(_u6915, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6917, tc_HOL_Obool)), _u6919), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6915, tc_fun(_u6917, tc_HOL_Obool)), _u6913), _u6921)) = _u6919) )).
% 43.36/43.56 cnf(fact_UN__extend__simps_I3_J-2, axiom, ( ( _u6914 = c_Orderings_Obot__class_Obot(tc_fun(_u6916, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6918, tc_HOL_Obool)), _u6920), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6916, tc_fun(_u6918, tc_HOL_Obool)), _u6914), _u6922)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6916, tc_fun(_u6918, tc_HOL_Obool)), _u6914), hAPP(hAPP(c_COMBB(tc_fun(_u6918, tc_HOL_Obool), tc_fun(_u6918, tc_HOL_Obool), _u6916), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6918, tc_HOL_Obool)), _u6920)), _u6922))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__finite2__subset ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__finite2__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6924, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6924, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem192(_u6927, _u6926, _u6925, _u6924))), _u6925)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6924, 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), skolem192(_u6927, _u6926, _u6925, _u6924)), _u6926))), _u6927))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6924, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6924, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6925)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6924, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6927))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__finite2__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__finite2__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6929, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem193(_u6932, _u6931, _u6930, _u6929))), _u6930) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6929, 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), skolem193(_u6932, _u6931, _u6930, _u6929)), _u6931))), _u6932)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6929, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6930) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6929, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6932)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_UN__finite__subset ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_UN__finite__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6934, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6934, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem194(_u6936, _u6935, _u6934))), _u6935)), _u6936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6934, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6934, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6935)), _u6936)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_iso__tuple__UNIV__I ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_iso__tuple__UNIV__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u6937), _u6938), c_Orderings_Otop__class_Otop(tc_fun(_u6937, tc_HOL_Obool)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__vimage__singleton ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__vimage__singleton-1, axiom, ( ~c_Fun_Oinj__on(_u6939, _u6940, _u6941, c_Orderings_Otop__class_Otop(tc_fun(_u6939, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6939, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6939, _u6940, _u6941), hAPP(hAPP(c_Set_Oinsert(_u6940), _u6942), c_Orderings_Obot__class_Obot(tc_fun(_u6940, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u6939), c_HOL_OThe(_u6939, hAPP(hAPP(c_COMBC(_u6939, _u6940, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6940, tc_fun(_u6940, tc_HOL_Obool), _u6939), c_fequal), _u6941)), _u6942))), c_Orderings_Obot__class_Obot(tc_fun(_u6939, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Oremove ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u6943) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6943), _u6944)) | ~hBOOL(hAPP(hAPP(c_member(_u6943), _u6945), _u6944)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6943, tc_HOL_Obool)), _u6944), hAPP(hAPP(c_Set_Oinsert(_u6943), _u6945), c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u6943, _u6944) = _u6945) )).
% 43.36/43.56 cnf(fact_Min_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u6943) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6943), _u6944)) | ~hBOOL(hAPP(hAPP(c_member(_u6943), _u6945), _u6944)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6943, tc_HOL_Obool)), _u6944), hAPP(hAPP(c_Set_Oinsert(_u6943), _u6945), c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u6943, _u6944) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6943), _u6945), c_Big__Operators_Olinorder__class_OMin(_u6943, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6943, tc_HOL_Obool)), _u6944), hAPP(hAPP(c_Set_Oinsert(_u6943), _u6945), c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUP2__I ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUP2__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u6946), _u6947), _u6948)) | ~hBOOL(hAPP(hAPP(hAPP(_u6949, _u6947), _u6950), _u6951)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6946, tc_fun(_u6952, tc_fun(_u6953, tc_HOL_Obool))), _u6948), _u6949), _u6950), _u6951)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimageI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimageI-1, axiom, ( ( hAPP(_u6954, _u6955) != _u6956) | ~hBOOL(hAPP(hAPP(c_member(_u6957), _u6956), _u6958)) | hBOOL(hAPP(hAPP(c_member(_u6959), _u6955), hAPP(c_Set_Ovimage(_u6959, _u6957, _u6954), _u6958))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf_Oidem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u6960) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6960), _u6961), _u6961) = _u6961) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf_Ocommute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u6962) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6962), _u6963), _u6964) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6962), _u6964), _u6963)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6965) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6965), _u6966), _u6967) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6965), _u6967), _u6966)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf_Oleft__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6968) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6968), _u6969), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6968), _u6969), _u6970)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6968), _u6969), _u6970)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__left__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u6971) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6971), _u6972), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6971), _u6972), _u6973)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6971), _u6972), _u6973)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf_Oleft__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6974) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6974), _u6975), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6974), _u6976), _u6977)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6974), _u6976), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6974), _u6975), _u6977))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__left__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u6978) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6978), _u6979), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6978), _u6980), _u6981)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6978), _u6980), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6978), _u6979), _u6981))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf_Oassoc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u6982) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6982), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6982), _u6983), _u6984)), _u6985) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6982), _u6983), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6982), _u6984), _u6985))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__assoc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u6986) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), _u6988)), _u6989) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6988), _u6989))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__code ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__code-1, axiom, ( hBOOL(hAPP(_u7001, hAPP(_u6999, _u7003))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u6995, _u6997, _u6999), _u7001), _u7003)) )).
% 43.36/43.56 cnf(fact_vimage__code-2, axiom, ( ~hBOOL(hAPP(_u7002, hAPP(_u7000, _u7004))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u6996, _u6998, _u7000), _u7002), _u7004)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Oidem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u7005) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7005), _u7006), _u7006) = _u7006) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__ident ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__ident-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7007, _u7007, c_COMBI(_u7007)), _u7008) = _u7008) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__le1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__le1-1, axiom, ( ~class_Orderings_Olinorder(_u7009) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7009), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7009), _u7010), _u7011)), _u7010)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__le2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__le2-1, axiom, ( ~class_Orderings_Olinorder(_u7012) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7012), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7012), _u7013), _u7014)), _u7014)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__iff__inf ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__iff__inf-1, axiom, ( ~class_Orderings_Olinorder(_u7015) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7015), _u7016), _u7017)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7015), _u7016), _u7017) = _u7016) )).
% 43.36/43.56 cnf(fact_min__max_Ole__iff__inf-2, axiom, ( ~class_Orderings_Olinorder(_u7015) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7015), _u7016), _u7017) != _u7016) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7015), _u7016), _u7017)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__inf__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__inf__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7018), _u7020), _u7021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), _u7020)) )).
% 43.36/43.56 cnf(fact_min__max_Ole__inf__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7018), _u7020), _u7021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), _u7021)) )).
% 43.36/43.56 cnf(fact_min__max_Ole__inf__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), _u7020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), _u7021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7018), _u7020), _u7021))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__le__iff__disj ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__le__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u7022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7023), _u7024)), _u7025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), _u7023), _u7025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), _u7024), _u7025)) )).
% 43.36/43.56 cnf(fact_min__le__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u7022) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7023), _u7024)), _u7025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), _u7023), _u7025)) )).
% 43.36/43.56 cnf(fact_min__le__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u7022) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7023), _u7024)), _u7025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), _u7024), _u7025)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__infI1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u7026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7026), _u7027), _u7028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7026), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7026), _u7027), _u7029)), _u7028)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__infI2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u7030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7030), _u7031), _u7032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7030), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7030), _u7033), _u7031)), _u7032)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__absorb1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u7034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7034), _u7035), _u7036)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7035), _u7036) = _u7035) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__absorb2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u7037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7037), _u7038), _u7039)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7037), _u7039), _u7038) = _u7038) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__infI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__infI-1, axiom, ( ~class_Orderings_Olinorder(_u7040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7040), _u7041), _u7042)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7040), _u7041), _u7043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7040), _u7041), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7040), _u7042), _u7043))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__greatest ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__greatest-1, axiom, ( ~class_Orderings_Olinorder(_u7044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), _u7045), _u7046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), _u7045), _u7047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), _u7045), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7044), _u7046), _u7047))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__mono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__mono-1, axiom, ( ~class_Orderings_Olinorder(_u7048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), _u7049), _u7050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), _u7051), _u7052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7048), _u7049), _u7051)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7048), _u7050), _u7052))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__infE ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__infE-1, axiom, ( ~class_Orderings_Olinorder(_u7053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7053), _u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7053), _u7055), _u7056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7053), _u7054), _u7055)) )).
% 43.36/43.56 cnf(fact_min__max_Ole__infE-2, axiom, ( ~class_Orderings_Olinorder(_u7053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7053), _u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7053), _u7055), _u7056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7053), _u7054), _u7056)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__less__iff__conj ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u7057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7057), _u7059), _u7060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), _u7059)) )).
% 43.36/43.56 cnf(fact_min__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u7057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7057), _u7059), _u7060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), _u7060)) )).
% 43.36/43.56 cnf(fact_min__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u7057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), _u7059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), _u7060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7057), _u7059), _u7060))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__less__iff__disj ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__less__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u7061) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7061), _u7062), _u7063)), _u7064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), _u7062), _u7064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), _u7063), _u7064)) )).
% 43.36/43.56 cnf(fact_min__less__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u7061) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7061), _u7062), _u7063)), _u7064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), _u7062), _u7064)) )).
% 43.36/43.56 cnf(fact_min__less__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u7061) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7061), _u7062), _u7063)), _u7064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), _u7063), _u7064)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oless__infI1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oless__infI1-1, axiom, ( ~class_Orderings_Olinorder(_u7065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7065), _u7066), _u7067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7065), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7065), _u7066), _u7068)), _u7067)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oless__infI2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oless__infI2-1, axiom, ( ~class_Orderings_Olinorder(_u7069) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7069), _u7070), _u7071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7069), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7069), _u7072), _u7070)), _u7071)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__add__distrib__left ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u7073) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7073), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7073), _u7074), _u7075)), _u7076) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7073), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7073), _u7074), _u7076)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7073), _u7075), _u7076))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__diff__distrib__left ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7077) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7077), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7077), _u7078), _u7079)), _u7080) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7077), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7077), _u7078), _u7080)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7077), _u7079), _u7080))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__eq-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7090), hAPP(_u7092, _u7088)), _u7094)) | ~hBOOL(hAPP(hAPP(c_member(_u7086), _u7088), hAPP(c_Set_Ovimage(_u7086, _u7090, _u7092), _u7094))) )).
% 43.36/43.56 cnf(fact_vimage__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7091), hAPP(_u7093, _u7089)), _u7095)) | hBOOL(hAPP(hAPP(c_member(_u7087), _u7089), hAPP(c_Set_Ovimage(_u7087, _u7091, _u7093), _u7095))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimageD ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimageD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7098), hAPP(_u7099, _u7097)), _u7100)) | ~hBOOL(hAPP(hAPP(c_member(_u7096), _u7097), hAPP(c_Set_Ovimage(_u7096, _u7098, _u7099), _u7100))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimageI2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimageI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7101), hAPP(_u7102, _u7103)), _u7104)) | hBOOL(hAPP(hAPP(c_member(_u7105), _u7103), hAPP(c_Set_Ovimage(_u7105, _u7101, _u7102), _u7104))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inf__min ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inf__min-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u7106) | ~class_Orderings_Olinorder(_u7106) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u7106) = c_Orderings_Oord__class_Omin(_u7106)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__0L ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7107) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__0R ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7108), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__Suc__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7109)), hAPP(c_Nat_OSuc, _u7110)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7109), _u7110))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__empty ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__empty-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7111, _u7112, _u7113), c_Orderings_Obot__class_Obot(tc_fun(_u7112, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7111, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__diff ( axiom ) converted to clauses:
% 43.36/43.56 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), _u7114), _u7115)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7116), _u7115)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7114), _u7116)), _u7115)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__mono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7117, tc_HOL_Obool)), _u7118), _u7119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7120, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7120, _u7117, _u7121), _u7118)), hAPP(c_Set_Ovimage(_u7120, _u7117, _u7121), _u7119))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__UNIV ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__UNIV-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7122, _u7123, _u7124), c_Orderings_Otop__class_Otop(tc_fun(_u7123, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7122, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__Un ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__Un-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7125, _u7126, _u7127), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7126, tc_HOL_Obool)), _u7128), _u7129)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7125, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7125, _u7126, _u7127), _u7128)), hAPP(c_Set_Ovimage(_u7125, _u7126, _u7127), _u7129))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__Int ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__Int-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7130, _u7131, _u7132), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7131, tc_HOL_Obool)), _u7133), _u7134)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7130, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7130, _u7131, _u7132), _u7133)), hAPP(c_Set_Ovimage(_u7130, _u7131, _u7132), _u7134))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__Diff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__Diff-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7135, _u7136, _u7137), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7136, tc_HOL_Obool)), _u7138), _u7139)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7135, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7135, _u7136, _u7137), _u7138)), hAPP(c_Set_Ovimage(_u7135, _u7136, _u7137), _u7139))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__of__mono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__of__mono-1, axiom, ( ~class_Orderings_Olinorder(_u7140) | ~class_Orderings_Olinorder(_u7141) | ~c_Orderings_Oorder__class_Omono(_u7141, _u7140, _u7142) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7140), hAPP(_u7142, _u7143)), hAPP(_u7142, _u7144)) = hAPP(_u7142, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7141), _u7143), _u7144))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ofun__left__comm__idem__inf ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ofun__left__comm__idem__inf-1, axiom, ( ~class_Orderings_Olinorder(_u7145) | c_Finite__Set_Ofun__left__comm__idem(_u7145, _u7145, c_Orderings_Oord__class_Omin(_u7145)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__Collect__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__Collect__eq-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7146, _u7147, _u7148), hAPP(c_Set_OCollect(_u7147), _u7149)) = hAPP(c_Set_OCollect(_u7146), hAPP(hAPP(c_COMBB(_u7147, tc_HOL_Obool, _u7146), _u7149), _u7148))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__UN ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7150, _u7151, _u7152), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7153, tc_fun(_u7151, tc_HOL_Obool)), _u7154), _u7155)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7153, tc_fun(_u7150, tc_HOL_Obool)), _u7154), hAPP(hAPP(c_COMBB(tc_fun(_u7151, tc_HOL_Obool), tc_fun(_u7150, tc_HOL_Obool), _u7153), c_Set_Ovimage(_u7150, _u7151, _u7152)), _u7155))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__vimage__subset ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__vimage__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7156, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7157, _u7156, _u7158), hAPP(c_Set_Ovimage(_u7157, _u7156, _u7158), _u7159))), _u7159)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_surj__image__vimage__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_surj__image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u7160, _u7161, _u7162), c_Orderings_Otop__class_Otop(tc_fun(_u7160, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u7161, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u7160, _u7161, _u7162), hAPP(c_Set_Ovimage(_u7160, _u7161, _u7162), _u7163)) = _u7163) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__def-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7164, _u7165, _u7166), _u7167) = hAPP(c_Set_OCollect(_u7164), hAPP(hAPP(c_COMBC(_u7164, tc_fun(_u7165, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u7165, tc_fun(tc_fun(_u7165, tc_HOL_Obool), tc_HOL_Obool), _u7164), c_member(_u7165)), _u7166)), _u7167))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__singleton__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__singleton__eq-1, axiom, ( ( hAPP(_u7179, _u7175) = _u7181) | ~hBOOL(hAPP(hAPP(c_member(_u7173), _u7175), hAPP(c_Set_Ovimage(_u7173, _u7177, _u7179), hAPP(hAPP(c_Set_Oinsert(_u7177), _u7181), c_Orderings_Obot__class_Obot(tc_fun(_u7177, tc_HOL_Obool)))))) )).
% 43.36/43.56 cnf(fact_vimage__singleton__eq-2, axiom, ( ( hAPP(_u7180, _u7176) != _u7182) | hBOOL(hAPP(hAPP(c_member(_u7174), _u7176), hAPP(c_Set_Ovimage(_u7174, _u7178, _u7180), hAPP(hAPP(c_Set_Oinsert(_u7178), _u7182), c_Orderings_Obot__class_Obot(tc_fun(_u7178, tc_HOL_Obool)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__insert ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__insert-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7183, _u7184, _u7185), hAPP(hAPP(c_Set_Oinsert(_u7184), _u7186), _u7187)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7183, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7183, _u7184, _u7185), hAPP(hAPP(c_Set_Oinsert(_u7184), _u7186), c_Orderings_Obot__class_Obot(tc_fun(_u7184, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u7183, _u7184, _u7185), _u7187))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__vimageD ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__vimageD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7188), hAPP(c_Set_Ovimage(_u7188, _u7189, _u7190), _u7191))) | ( hAPP(c_Set_Oimage(_u7188, _u7189, _u7190), c_Orderings_Otop__class_Otop(tc_fun(_u7188, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u7189, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7189), _u7191)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Oin__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7192), _u7193)) | ~hBOOL(hAPP(hAPP(c_member(_u7192), _u7194), _u7193)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7192), _u7194), c_Big__Operators_Olinorder__class_OMin(_u7192, _u7193)) = c_Big__Operators_Olinorder__class_OMin(_u7192, _u7193)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Omono__inf ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Omono__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u7195) | ~class_Orderings_Olinorder(_u7196) | ~c_Orderings_Oorder__class_Omono(_u7196, _u7195, _u7197) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7195), hAPP(_u7197, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7196), _u7198), _u7199))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7195), hAPP(_u7197, _u7198)), hAPP(_u7197, _u7199)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__subsetD ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__subsetD-1, axiom, ( ( hAPP(c_Set_Oimage(_u7200, _u7201, _u7202), c_Orderings_Otop__class_Otop(tc_fun(_u7200, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u7201, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7200, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7200, _u7201, _u7202), _u7203)), _u7204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7201, tc_HOL_Obool)), _u7203), hAPP(c_Set_Oimage(_u7200, _u7201, _u7202), _u7204))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_image__vimage__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_image__vimage__eq-1, axiom, ( ( hAPP(c_Set_Oimage(_u7205, _u7206, _u7207), hAPP(c_Set_Ovimage(_u7205, _u7206, _u7207), _u7208)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7206, tc_HOL_Obool)), _u7208), hAPP(c_Set_Oimage(_u7205, _u7206, _u7207), c_Orderings_Otop__class_Otop(tc_fun(_u7205, tc_HOL_Obool))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_finite__vimageI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_finite__vimageI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7209), _u7210)) | ~c_Fun_Oinj__on(_u7211, _u7209, _u7212, c_Orderings_Otop__class_Otop(tc_fun(_u7211, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7211), hAPP(c_Set_Ovimage(_u7211, _u7209, _u7212), _u7210))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inj__vimage__image__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inj__vimage__image__eq-1, axiom, ( ~c_Fun_Oinj__on(_u7213, _u7214, _u7215, c_Orderings_Otop__class_Otop(tc_fun(_u7213, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u7213, _u7214, _u7215), hAPP(c_Set_Oimage(_u7213, _u7214, _u7215), _u7216)) = _u7216) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__atLeastAtMostR1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__atLeastAtMostR1-1, axiom, ( ~class_Orderings_Olinorder(_u7217) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7217, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u7217), _u7218)), c_SetInterval_Oord__class_OatLeastAtMost(_u7217, _u7219, _u7220)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7217, _u7219, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7217), _u7218), _u7220))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__atLeastAtMostL1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__atLeastAtMostL1-1, axiom, ( ~class_Orderings_Olinorder(_u7221) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7221, _u7222, _u7223)), hAPP(c_SetInterval_Oord__class_OatMost(_u7221), _u7224)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7221, _u7222, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7221), _u7223), _u7224))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_OF__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u7225) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7225), _u7226)) | ( c_Big__Operators_Olinorder__class_OMin(_u7225, _u7226) = hAPP(c_Finite__Set_Ofold1(_u7225, c_Orderings_Oord__class_Omin(_u7225)), _u7226)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__const ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__const-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7231), _u7233), _u7235)) | ( hAPP(c_Set_Ovimage(_u7237, _u7231, hAPP(c_COMBK(_u7231, _u7237), _u7233)), _u7235) = c_Orderings_Otop__class_Otop(tc_fun(_u7237, tc_HOL_Obool))) )).
% 43.36/43.56 cnf(fact_vimage__const-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7232), _u7234), _u7236)) | ( hAPP(c_Set_Ovimage(_u7238, _u7232, hAPP(c_COMBK(_u7232, _u7238), _u7234)), _u7236) = c_Orderings_Obot__class_Obot(tc_fun(_u7238, tc_HOL_Obool))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__eq__UN ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__eq__UN-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7239, _u7240, _u7241), _u7242) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7240, tc_fun(_u7239, tc_HOL_Obool)), _u7242), hAPP(hAPP(c_COMBB(tc_fun(_u7240, tc_HOL_Obool), tc_fun(_u7239, tc_HOL_Obool), _u7240), c_Set_Ovimage(_u7239, _u7240, _u7241)), hAPP(hAPP(c_COMBC(_u7240, tc_fun(_u7240, tc_HOL_Obool), tc_fun(_u7240, tc_HOL_Obool)), c_Set_Oinsert(_u7240)), c_Orderings_Obot__class_Obot(tc_fun(_u7240, tc_HOL_Obool)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__Suc2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7243), hAPP(c_Nat_OSuc, _u7244)) = 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)), _u7244)), _u7243)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__Suc1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7245)), _u7246) = 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), _u7245)), _u7246)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ofold1__belowI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ofold1__belowI-1, axiom, ( ~class_Orderings_Olinorder(_u7247) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7247), _u7248)) | ~hBOOL(hAPP(hAPP(c_member(_u7247), _u7249), _u7248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7247), hAPP(c_Finite__Set_Ofold1(_u7247, c_Orderings_Oord__class_Omin(_u7247)), _u7248)), _u7249)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Obelow__fold1__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Obelow__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7252) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7252), _u7253)) | ( _u7253 = c_Orderings_Obot__class_Obot(tc_fun(_u7252, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), hAPP(c_Finite__Set_Ofold1(_u7252, c_Orderings_Oord__class_Omin(_u7252)), _u7253))) | ~hBOOL(hAPP(hAPP(c_member(_u7252), _u7250), _u7253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), _u7250)) )).
% 43.36/43.56 cnf(fact_min__max_Obelow__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7252) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7252), _u7253)) | ( _u7253 = c_Orderings_Obot__class_Obot(tc_fun(_u7252, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), hAPP(c_Finite__Set_Ofold1(_u7252, c_Orderings_Oord__class_Omin(_u7252)), _u7253))) | hBOOL(hAPP(hAPP(c_member(_u7252), skolem195(_u7254, _u7253, _u7252)), _u7253)) )).
% 43.36/43.56 cnf(fact_min__max_Obelow__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7252) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7252), _u7253)) | ( _u7253 = c_Orderings_Obot__class_Obot(tc_fun(_u7252, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), hAPP(c_Finite__Set_Ofold1(_u7252, c_Orderings_Oord__class_Omin(_u7252)), _u7253))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), skolem195(_u7254, _u7253, _u7252))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__below__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7257), _u7258)) | ( _u7258 = c_Orderings_Obot__class_Obot(tc_fun(_u7257, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), hAPP(c_Finite__Set_Ofold1(_u7257, c_Orderings_Oord__class_Omin(_u7257)), _u7258)), _u7259)) | hBOOL(hAPP(hAPP(c_member(_u7257), skolem196(_u7259, _u7258, _u7257)), _u7258)) )).
% 43.36/43.56 cnf(fact_fold1__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7257), _u7258)) | ( _u7258 = c_Orderings_Obot__class_Obot(tc_fun(_u7257, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), hAPP(c_Finite__Set_Ofold1(_u7257, c_Orderings_Oord__class_Omin(_u7257)), _u7258)), _u7259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), skolem196(_u7259, _u7258, _u7257)), _u7259)) )).
% 43.36/43.56 cnf(fact_fold1__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7257), _u7258)) | ( _u7258 = c_Orderings_Obot__class_Obot(tc_fun(_u7257, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7257), _u7256), _u7258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), _u7256), _u7259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), hAPP(c_Finite__Set_Ofold1(_u7257, c_Orderings_Oord__class_Omin(_u7257)), _u7258)), _u7259)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_strict__below__fold1__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_strict__below__fold1__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7262), _u7263)) | ( _u7263 = c_Orderings_Obot__class_Obot(tc_fun(_u7262, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), hAPP(c_Finite__Set_Ofold1(_u7262, c_Orderings_Oord__class_Omin(_u7262)), _u7263))) | ~hBOOL(hAPP(hAPP(c_member(_u7262), _u7260), _u7263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), _u7260)) )).
% 43.36/43.56 cnf(fact_strict__below__fold1__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7262), _u7263)) | ( _u7263 = c_Orderings_Obot__class_Obot(tc_fun(_u7262, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), hAPP(c_Finite__Set_Ofold1(_u7262, c_Orderings_Oord__class_Omin(_u7262)), _u7263))) | hBOOL(hAPP(hAPP(c_member(_u7262), skolem197(_u7264, _u7263, _u7262)), _u7263)) )).
% 43.36/43.56 cnf(fact_strict__below__fold1__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7262), _u7263)) | ( _u7263 = c_Orderings_Obot__class_Obot(tc_fun(_u7262, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), hAPP(c_Finite__Set_Ofold1(_u7262, c_Orderings_Oord__class_Omin(_u7262)), _u7263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), skolem197(_u7264, _u7263, _u7262))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__strict__below__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__strict__below__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7267), _u7268)) | ( _u7268 = c_Orderings_Obot__class_Obot(tc_fun(_u7267, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), hAPP(c_Finite__Set_Ofold1(_u7267, c_Orderings_Oord__class_Omin(_u7267)), _u7268)), _u7269)) | hBOOL(hAPP(hAPP(c_member(_u7267), skolem198(_u7269, _u7268, _u7267)), _u7268)) )).
% 43.36/43.56 cnf(fact_fold1__strict__below__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7267), _u7268)) | ( _u7268 = c_Orderings_Obot__class_Obot(tc_fun(_u7267, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), hAPP(c_Finite__Set_Ofold1(_u7267, c_Orderings_Oord__class_Omin(_u7267)), _u7268)), _u7269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), skolem198(_u7269, _u7268, _u7267)), _u7269)) )).
% 43.36/43.56 cnf(fact_fold1__strict__below__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7267), _u7268)) | ( _u7268 = c_Orderings_Obot__class_Obot(tc_fun(_u7267, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7267), _u7266), _u7268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), _u7266), _u7269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), hAPP(c_Finite__Set_Ofold1(_u7267, c_Orderings_Oord__class_Omin(_u7267)), _u7268)), _u7269)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min__insert ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min__insert-1, axiom, ( ~class_Orderings_Olinorder(_u7270) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7270), _u7271)) | ( _u7271 = c_Orderings_Obot__class_Obot(tc_fun(_u7270, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7270, hAPP(hAPP(c_Set_Oinsert(_u7270), _u7272), _u7271)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7270), _u7272), c_Big__Operators_Olinorder__class_OMin(_u7270, _u7271))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Osubset__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7273), _u7274)) | ( _u7275 = c_Orderings_Obot__class_Obot(tc_fun(_u7273, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7273, tc_HOL_Obool)), _u7275), _u7274)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7273), c_Big__Operators_Olinorder__class_OMin(_u7273, _u7275)), c_Big__Operators_Olinorder__class_OMin(_u7273, _u7274)) = c_Big__Operators_Olinorder__class_OMin(_u7273, _u7274)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min__Un ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min__Un-1, axiom, ( ~class_Orderings_Olinorder(_u7276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7276), _u7277)) | ( _u7277 = c_Orderings_Obot__class_Obot(tc_fun(_u7276, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7276), _u7278)) | ( _u7278 = c_Orderings_Obot__class_Obot(tc_fun(_u7276, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7276, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7276, tc_HOL_Obool)), _u7277), _u7278)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7276), c_Big__Operators_Olinorder__class_OMin(_u7276, _u7277)), c_Big__Operators_Olinorder__class_OMin(_u7276, _u7278))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_vimage__subsetI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_vimage__subsetI-1, axiom, ( ~c_Fun_Oinj__on(_u7279, _u7280, _u7281, c_Orderings_Otop__class_Otop(tc_fun(_u7279, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7280, tc_HOL_Obool)), _u7282), hAPP(c_Set_Oimage(_u7279, _u7280, _u7281), _u7283))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7279, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7279, _u7280, _u7281), _u7282)), _u7283)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Oinsert ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u7284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7284), _u7285)) | hBOOL(hAPP(hAPP(c_member(_u7284), _u7286), _u7285)) | ( _u7285 = c_Orderings_Obot__class_Obot(tc_fun(_u7284, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7284, hAPP(hAPP(c_Set_Oinsert(_u7284), _u7286), _u7285)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7284), _u7286), c_Big__Operators_Olinorder__class_OMin(_u7284, _u7285))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_fold1__antimono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_fold1__antimono-1, axiom, ( ~class_Orderings_Olinorder(_u7287) | ( _u7288 = c_Orderings_Obot__class_Obot(tc_fun(_u7287, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7287, tc_HOL_Obool)), _u7288), _u7289)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7287), _u7289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), hAPP(c_Finite__Set_Ofold1(_u7287, c_Orderings_Oord__class_Omin(_u7287)), _u7289)), hAPP(c_Finite__Set_Ofold1(_u7287, c_Orderings_Oord__class_Omin(_u7287)), _u7288))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u7290) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7290), _u7291)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7290, tc_HOL_Obool)), _u7291), hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7290, hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), _u7291)) = _u7292) )).
% 43.36/43.56 cnf(fact_Min_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u7290) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7290), _u7291)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7290, tc_HOL_Obool)), _u7291), hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7290, hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), _u7291)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7290), _u7292), c_Big__Operators_Olinorder__class_OMin(_u7290, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7290, tc_HOL_Obool)), _u7291), hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u7293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7293), _u7294)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7293), _u7295)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7293, tc_HOL_Obool)), _u7294), _u7295) = c_Orderings_Obot__class_Obot(tc_fun(_u7293, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7293), c_Big__Operators_Olinorder__class_OMin(_u7293, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7294), _u7295))), c_Big__Operators_Olinorder__class_OMin(_u7293, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7293, tc_HOL_Obool)), _u7294), _u7295))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7293), c_Big__Operators_Olinorder__class_OMin(_u7293, _u7294)), c_Big__Operators_Olinorder__class_OMin(_u7293, _u7295))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Ounion__disjoint ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u7296) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7296), _u7297)) | ( _u7297 = c_Orderings_Obot__class_Obot(tc_fun(_u7296, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7296), _u7298)) | ( _u7298 = c_Orderings_Obot__class_Obot(tc_fun(_u7296, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7296, tc_HOL_Obool)), _u7297), _u7298) != c_Orderings_Obot__class_Obot(tc_fun(_u7296, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7296, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7296, tc_HOL_Obool)), _u7297), _u7298)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7296), c_Big__Operators_Olinorder__class_OMin(_u7296, _u7297)), c_Big__Operators_Olinorder__class_OMin(_u7296, _u7298))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_dual__max ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_dual__max-1, axiom, ( ~class_Orderings_Olinorder(_u7299) | ( c_Orderings_Oord_Omax(_u7299, hAPP(c_COMBC(_u7299, _u7299, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7299))) = c_Orderings_Oord__class_Omin(_u7299)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__ord__min ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__ord__min-1, axiom, ( ~class_Orderings_Oord(_u7300) | ( c_Orderings_Oord__class_Omin(_u7300) = c_Orderings_Oord_Omin(_u7300, c_Orderings_Oord__class_Oless__eq(_u7300))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Oclosed ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u7303) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7303), _u7304)) | ( _u7304 = c_Orderings_Obot__class_Obot(tc_fun(_u7303, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7303), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7303), skolem199(_u7304, _u7303)), skolem200(_u7304, _u7303))), hAPP(hAPP(c_Set_Oinsert(_u7303), skolem199(_u7304, _u7303)), hAPP(hAPP(c_Set_Oinsert(_u7303), skolem200(_u7304, _u7303)), c_Orderings_Obot__class_Obot(tc_fun(_u7303, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7303), c_Big__Operators_Olinorder__class_OMin(_u7303, _u7304)), _u7304)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Oremove ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u7305) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7305), _u7306)) | ~hBOOL(hAPP(hAPP(c_member(_u7305), _u7307), _u7306)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7305, tc_HOL_Obool)), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7305), _u7307), c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7305, c_Orderings_Oord__class_Omin(_u7305), _u7306) = _u7307) )).
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u7305) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7305), _u7306)) | ~hBOOL(hAPP(hAPP(c_member(_u7305), _u7307), _u7306)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7305, tc_HOL_Obool)), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7305), _u7307), c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7305, c_Orderings_Oord__class_Omin(_u7305), _u7306) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7305), _u7307), c_Big__Operators_Olattice_OInf__fin(_u7305, c_Orderings_Oord__class_Omin(_u7305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7305, tc_HOL_Obool)), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7305), _u7307), c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Min_Ohom__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Min_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7310) | ( hAPP(_u7311, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7310), skolem201(_u7312, _u7311, _u7310)), skolem202(_u7312, _u7311, _u7310))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7310), hAPP(_u7311, skolem201(_u7312, _u7311, _u7310))), hAPP(_u7311, skolem202(_u7312, _u7311, _u7310)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7310), _u7312)) | ( _u7312 = c_Orderings_Obot__class_Obot(tc_fun(_u7310, tc_HOL_Obool))) | ( hAPP(_u7311, c_Big__Operators_Olinorder__class_OMin(_u7310, _u7312)) = c_Big__Operators_Olinorder__class_OMin(_u7310, hAPP(c_Set_Oimage(_u7310, _u7310, _u7311), _u7312))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_SUP2__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_SUP2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7322, tc_fun(_u7324, tc_fun(_u7326, tc_HOL_Obool))), _u7328), _u7330), _u7332), _u7334)) | hBOOL(hAPP(hAPP(c_member(_u7322), skolem203(_u7334, _u7332, _u7330, _u7328, _u7326, _u7324, _u7322)), _u7328)) )).
% 43.36/43.56 cnf(fact_SUP2__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7322, tc_fun(_u7324, tc_fun(_u7326, tc_HOL_Obool))), _u7328), _u7330), _u7332), _u7334)) | hBOOL(hAPP(hAPP(hAPP(_u7330, skolem203(_u7334, _u7332, _u7330, _u7328, _u7326, _u7324, _u7322)), _u7332), _u7334)) )).
% 43.36/43.56 cnf(fact_SUP2__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7323), _u7314), _u7329)) | ~hBOOL(hAPP(hAPP(hAPP(_u7331, _u7314), _u7333), _u7335)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7323, tc_fun(_u7325, tc_fun(_u7327, tc_HOL_Obool))), _u7329), _u7331), _u7333), _u7335)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_inf__nat__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_inf__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Oin__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7336), _u7337)) | ~hBOOL(hAPP(hAPP(c_member(_u7336), _u7338), _u7337)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7336), _u7338), c_Big__Operators_Olattice_OInf__fin(_u7336, c_Orderings_Oord__class_Omin(_u7336), _u7337)) = c_Big__Operators_Olattice_OInf__fin(_u7336, c_Orderings_Oord__class_Omin(_u7336), _u7337)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Osingleton ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u7339) | ( c_Big__Operators_Olattice_OInf__fin(_u7339, c_Orderings_Oord__class_Omin(_u7339), hAPP(hAPP(c_Set_Oinsert(_u7339), _u7340), c_Orderings_Obot__class_Obot(tc_fun(_u7339, tc_HOL_Obool)))) = _u7340) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_OF__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u7341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7341), _u7342)) | ( c_Big__Operators_Olattice_OInf__fin(_u7341, c_Orderings_Oord__class_Omin(_u7341), _u7342) = hAPP(c_Finite__Set_Ofold1(_u7341, c_Orderings_Oord__class_Omin(_u7341)), _u7342)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Oinsert__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7343) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7343), _u7344)) | ( _u7344 = c_Orderings_Obot__class_Obot(tc_fun(_u7343, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7343, c_Orderings_Oord__class_Omin(_u7343), hAPP(hAPP(c_Set_Oinsert(_u7343), _u7345), _u7344)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7343), _u7345), c_Big__Operators_Olattice_OInf__fin(_u7343, c_Orderings_Oord__class_Omin(_u7343), _u7344))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Osubset__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), _u7347)) | ( _u7348 = c_Orderings_Obot__class_Obot(tc_fun(_u7346, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7346, tc_HOL_Obool)), _u7348), _u7347)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7346), c_Big__Operators_Olattice_OInf__fin(_u7346, c_Orderings_Oord__class_Omin(_u7346), _u7348)), c_Big__Operators_Olattice_OInf__fin(_u7346, c_Orderings_Oord__class_Omin(_u7346), _u7347)) = c_Big__Operators_Olattice_OInf__fin(_u7346, c_Orderings_Oord__class_Omin(_u7346), _u7347)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Ounion__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7349), _u7350)) | ( _u7350 = c_Orderings_Obot__class_Obot(tc_fun(_u7349, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7349), _u7351)) | ( _u7351 = c_Orderings_Obot__class_Obot(tc_fun(_u7349, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7349, c_Orderings_Oord__class_Omin(_u7349), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7349, tc_HOL_Obool)), _u7350), _u7351)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7349), c_Big__Operators_Olattice_OInf__fin(_u7349, c_Orderings_Oord__class_Omin(_u7349), _u7350)), c_Big__Operators_Olattice_OInf__fin(_u7349, c_Orderings_Oord__class_Omin(_u7349), _u7351))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Oinsert ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u7352) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7352), _u7353)) | hBOOL(hAPP(hAPP(c_member(_u7352), _u7354), _u7353)) | ( _u7353 = c_Orderings_Obot__class_Obot(tc_fun(_u7352, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7352, c_Orderings_Oord__class_Omin(_u7352), hAPP(hAPP(c_Set_Oinsert(_u7352), _u7354), _u7353)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7352), _u7354), c_Big__Operators_Olattice_OInf__fin(_u7352, c_Orderings_Oord__class_Omin(_u7352), _u7353))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u7355) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7355), _u7356)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7355, tc_HOL_Obool)), _u7356), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7355, c_Orderings_Oord__class_Omin(_u7355), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), _u7356)) = _u7357) )).
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u7355) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7355), _u7356)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7355, tc_HOL_Obool)), _u7356), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7355, c_Orderings_Oord__class_Omin(_u7355), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), _u7356)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7355), _u7357), c_Big__Operators_Olattice_OInf__fin(_u7355, c_Orderings_Oord__class_Omin(_u7355), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7355, tc_HOL_Obool)), _u7356), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u7358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7358), _u7359)) | ( _u7359 = c_Orderings_Obot__class_Obot(tc_fun(_u7358, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7358), _u7360)) | ( _u7360 = c_Orderings_Obot__class_Obot(tc_fun(_u7358, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7358, tc_HOL_Obool)), _u7359), _u7360) != c_Orderings_Obot__class_Obot(tc_fun(_u7358, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7358, c_Orderings_Oord__class_Omin(_u7358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7358, tc_HOL_Obool)), _u7359), _u7360)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7358), c_Big__Operators_Olattice_OInf__fin(_u7358, c_Orderings_Oord__class_Omin(_u7358), _u7359)), c_Big__Operators_Olattice_OInf__fin(_u7358, c_Orderings_Oord__class_Omin(_u7358), _u7360))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u7361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7361), _u7362)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7361), _u7363)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7361, tc_HOL_Obool)), _u7362), _u7363) = c_Orderings_Obot__class_Obot(tc_fun(_u7361, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7361), c_Big__Operators_Olattice_OInf__fin(_u7361, c_Orderings_Oord__class_Omin(_u7361), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7361, tc_HOL_Obool)), _u7362), _u7363))), c_Big__Operators_Olattice_OInf__fin(_u7361, c_Orderings_Oord__class_Omin(_u7361), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7361, tc_HOL_Obool)), _u7362), _u7363))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7361), c_Big__Operators_Olattice_OInf__fin(_u7361, c_Orderings_Oord__class_Omin(_u7361), _u7362)), c_Big__Operators_Olattice_OInf__fin(_u7361, c_Orderings_Oord__class_Omin(_u7361), _u7363))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Oclosed ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u7366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7366), _u7367)) | ( _u7367 = c_Orderings_Obot__class_Obot(tc_fun(_u7366, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7366), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7366), skolem204(_u7367, _u7366)), skolem205(_u7367, _u7366))), hAPP(hAPP(c_Set_Oinsert(_u7366), skolem204(_u7367, _u7366)), hAPP(hAPP(c_Set_Oinsert(_u7366), skolem205(_u7367, _u7366)), c_Orderings_Obot__class_Obot(tc_fun(_u7366, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7366), c_Big__Operators_Olattice_OInf__fin(_u7366, c_Orderings_Oord__class_Omin(_u7366), _u7367)), _u7367)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__Inf2__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__Inf2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u7368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7368), _u7369)) | ( _u7369 = c_Orderings_Obot__class_Obot(tc_fun(_u7368, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7368), _u7370)) | ( _u7370 = c_Orderings_Obot__class_Obot(tc_fun(_u7368, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7368), c_Big__Operators_Olattice_OInf__fin(_u7368, c_Orderings_Oord__class_Omin(_u7368), _u7369)), c_Big__Operators_Olattice_OInf__fin(_u7368, c_Orderings_Oord__class_Omin(_u7368), _u7370)) = c_Big__Operators_Olattice_OInf__fin(_u7368, c_Orderings_Oord__class_Omin(_u7368), hAPP(c_Set_OCollect(_u7368), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_HOL_Obool), tc_HOL_Obool, _u7368), c_HOL_OEx(_u7368)), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool)), tc_fun(_u7368, tc_HOL_Obool), _u7368), hAPP(c_COMBB(tc_fun(_u7368, tc_HOL_Obool), tc_HOL_Obool, _u7368), c_HOL_OEx(_u7368))), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool)), tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_fun(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool))), tc_fun(tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool)), tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool))), _u7368), c_COMBS(_u7368, tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_fun(_u7368, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u7368, tc_fun(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool))), _u7368), hAPP(c_COMBB(tc_fun(_u7368, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool)), _u7368), c_COMBS(_u7368, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool)), tc_fun(_u7368, tc_fun(_u7368, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u7368), hAPP(c_COMBB(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7368), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7368), c_fconj))), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_fun(_u7368, _u7368)), tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7368, _u7368), tc_fun(_u7368, tc_HOL_Obool)), tc_fun(tc_fun(_u7368, tc_fun(_u7368, _u7368)), tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool))), _u7368), c_COMBB(tc_fun(_u7368, _u7368), tc_fun(_u7368, tc_HOL_Obool), _u7368)), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_HOL_Obool), tc_fun(tc_fun(_u7368, _u7368), tc_fun(_u7368, tc_HOL_Obool)), _u7368), c_COMBB(_u7368, tc_HOL_Obool, _u7368)), c_fequal))), c_Orderings_Oord__class_Omax(_u7368)))))), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool)), _u7368), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7368)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7368), c_fconj), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7368)), _u7369)))), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7368)), _u7370)))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__Inf1__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__Inf1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u7371) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7371), _u7372)) | ( _u7372 = c_Orderings_Obot__class_Obot(tc_fun(_u7371, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7371), _u7373), c_Big__Operators_Olattice_OInf__fin(_u7371, c_Orderings_Oord__class_Omin(_u7371), _u7372)) = c_Big__Operators_Olattice_OInf__fin(_u7371, c_Orderings_Oord__class_Omin(_u7371), hAPP(c_Set_OCollect(_u7371), hAPP(hAPP(c_COMBB(tc_fun(_u7371, tc_HOL_Obool), tc_HOL_Obool, _u7371), c_HOL_OEx(_u7371)), hAPP(hAPP(c_COMBC(_u7371, tc_fun(_u7371, tc_HOL_Obool), tc_fun(_u7371, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7371, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u7371, tc_HOL_Obool), tc_fun(_u7371, tc_HOL_Obool)), _u7371), c_COMBS(_u7371, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7371, tc_HOL_Obool), tc_fun(_u7371, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7371), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7371), c_fconj)), hAPP(hAPP(c_COMBC(_u7371, tc_fun(_u7371, _u7371), tc_fun(_u7371, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7371, tc_HOL_Obool), tc_fun(tc_fun(_u7371, _u7371), tc_fun(_u7371, tc_HOL_Obool)), _u7371), c_COMBB(_u7371, tc_HOL_Obool, _u7371)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u7371), _u7373))))), hAPP(hAPP(c_COMBC(_u7371, tc_fun(_u7371, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7371)), _u7372)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__fin_Ohom__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7376) | ( hAPP(_u7377, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7376), skolem206(_u7378, _u7377, _u7376)), skolem207(_u7378, _u7377, _u7376))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7376), hAPP(_u7377, skolem206(_u7378, _u7377, _u7376))), hAPP(_u7377, skolem207(_u7378, _u7377, _u7376)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7376), _u7378)) | ( _u7378 = c_Orderings_Obot__class_Obot(tc_fun(_u7376, tc_HOL_Obool))) | ( hAPP(_u7377, c_Big__Operators_Olattice_OInf__fin(_u7376, c_Orderings_Oord__class_Omin(_u7376), _u7378)) = c_Big__Operators_Olattice_OInf__fin(_u7376, c_Orderings_Oord__class_Omin(_u7376), hAPP(c_Set_Oimage(_u7376, _u7376, _u7377), _u7378))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Oremove ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u7379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7379), _u7380)) | ~hBOOL(hAPP(hAPP(c_member(_u7379), _u7381), _u7380)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7379, tc_HOL_Obool)), _u7380), hAPP(hAPP(c_Set_Oinsert(_u7379), _u7381), c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7379, _u7380) = _u7381) )).
% 43.36/43.56 cnf(fact_Max_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u7379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7379), _u7380)) | ~hBOOL(hAPP(hAPP(c_member(_u7379), _u7381), _u7380)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7379, tc_HOL_Obool)), _u7380), hAPP(hAPP(c_Set_Oinsert(_u7379), _u7381), c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7379, _u7380) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7379), _u7381), c_Big__Operators_Olinorder__class_OMax(_u7379, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7379, tc_HOL_Obool)), _u7380), hAPP(hAPP(c_Set_Oinsert(_u7379), _u7381), c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__add__distrib__left ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__add__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u7382) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7382), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7382), _u7383), _u7384)), _u7385) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7382), _u7383), _u7385)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7382), _u7384), _u7385))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__diff__distrib__left ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__diff__distrib__left-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7386) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7386), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7386), _u7387), _u7388)), _u7389) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7386), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7386), _u7387), _u7389)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7386), _u7388), _u7389))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_sup__max ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_sup__max-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7390) | ~class_Orderings_Olinorder(_u7390) | ( c_Lattices_Osemilattice__sup__class_Osup(_u7390) = c_Orderings_Oord__class_Omax(_u7390)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__0R ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__0R-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7391), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7391) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__0L ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__0L-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7392) = _u7392) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__Suc__Suc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__Suc__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7393)), hAPP(c_Nat_OSuc, _u7394)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7393), _u7394))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup_Oidem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u7395) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7395), _u7396), _u7396) = _u7396) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup_Ocommute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup_Ocommute-1, axiom, ( ~class_Orderings_Olinorder(_u7397) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7397), _u7398), _u7399) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7397), _u7399), _u7398)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7400) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7400), _u7401), _u7402) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7400), _u7402), _u7401)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup_Oleft__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup_Oleft__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7403) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7403), _u7404), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7403), _u7404), _u7405)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7403), _u7404), _u7405)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__left__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__left__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7406) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7406), _u7407), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7406), _u7407), _u7408)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7406), _u7407), _u7408)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup_Oleft__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup_Oleft__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7409) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7409), _u7410), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7409), _u7411), _u7412)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7409), _u7411), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7409), _u7410), _u7412))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__left__commute ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__left__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7413) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7413), _u7414), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7413), _u7415), _u7416)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7413), _u7415), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7413), _u7414), _u7416))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup_Oassoc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup_Oassoc-1, axiom, ( ~class_Orderings_Olinorder(_u7417) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7417), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7417), _u7418), _u7419)), _u7420) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7417), _u7418), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7417), _u7419), _u7420))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__assoc ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__assoc-1, axiom, ( ~class_Orderings_Olinorder(_u7421) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7421), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7421), _u7422), _u7423)), _u7424) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7421), _u7422), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7421), _u7423), _u7424))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Oidem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Oidem-1, axiom, ( ~class_Orderings_Olinorder(_u7425) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7425), _u7426), _u7426) = _u7426) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oless__supI2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oless__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u7427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7427), _u7428), _u7429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7427), _u7428), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7427), _u7430), _u7429))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oless__supI1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oless__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u7431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7431), _u7432), _u7433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7431), _u7432), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7431), _u7433), _u7434))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__less__iff__conj ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__less__iff__conj-1, axiom, ( ~class_Orderings_Olinorder(_u7435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7435), _u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), _u7436), _u7438)) )).
% 43.36/43.56 cnf(fact_max__less__iff__conj-2, axiom, ( ~class_Orderings_Olinorder(_u7435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7435), _u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), _u7437), _u7438)) )).
% 43.36/43.56 cnf(fact_max__less__iff__conj-3, axiom, ( ~class_Orderings_Olinorder(_u7435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), _u7436), _u7438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), _u7437), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7435), _u7436), _u7437)), _u7438)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_less__max__iff__disj ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_less__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u7439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7439), _u7441), _u7442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), _u7441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), _u7442)) )).
% 43.36/43.56 cnf(fact_less__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u7439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7439), _u7441), _u7442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), _u7441)) )).
% 43.36/43.56 cnf(fact_less__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u7439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7439), _u7441), _u7442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), _u7442)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__supE ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__supE-1, axiom, ( ~class_Orderings_Olinorder(_u7443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7443), _u7444), _u7445)), _u7446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), _u7444), _u7446)) )).
% 43.36/43.56 cnf(fact_min__max_Ole__supE-2, axiom, ( ~class_Orderings_Olinorder(_u7443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7443), _u7444), _u7445)), _u7446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), _u7445), _u7446)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__mono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__mono-1, axiom, ( ~class_Orderings_Olinorder(_u7447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7447), _u7448), _u7449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7447), _u7450), _u7451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7447), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7447), _u7448), _u7450)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7447), _u7449), _u7451))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__least ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__least-1, axiom, ( ~class_Orderings_Olinorder(_u7452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7452), _u7453), _u7454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7452), _u7455), _u7454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7452), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7452), _u7453), _u7455)), _u7454)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__supI ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__supI-1, axiom, ( ~class_Orderings_Olinorder(_u7456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7456), _u7457), _u7458)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7456), _u7459), _u7458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7456), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7456), _u7457), _u7459)), _u7458)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__absorb1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__absorb1-1, axiom, ( ~class_Orderings_Olinorder(_u7460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7460), _u7461), _u7462)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7460), _u7462), _u7461) = _u7462) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__absorb2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__absorb2-1, axiom, ( ~class_Orderings_Olinorder(_u7463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), _u7464), _u7465)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7463), _u7464), _u7465) = _u7465) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__supI2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__supI2-1, axiom, ( ~class_Orderings_Olinorder(_u7466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7466), _u7467), _u7468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7466), _u7467), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7466), _u7469), _u7468))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__supI1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__supI1-1, axiom, ( ~class_Orderings_Olinorder(_u7470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7470), _u7471), _u7472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7470), _u7471), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7470), _u7472), _u7473))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__sup__iff ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__sup__iff-1, axiom, ( ~class_Orderings_Olinorder(_u7474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7474), _u7475), _u7476)), _u7477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), _u7475), _u7477)) )).
% 43.36/43.56 cnf(fact_min__max_Ole__sup__iff-2, axiom, ( ~class_Orderings_Olinorder(_u7474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7474), _u7475), _u7476)), _u7477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), _u7476), _u7477)) )).
% 43.36/43.56 cnf(fact_min__max_Ole__sup__iff-3, axiom, ( ~class_Orderings_Olinorder(_u7474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), _u7475), _u7477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), _u7476), _u7477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7474), _u7475), _u7476)), _u7477)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_le__max__iff__disj ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_le__max__iff__disj-1, axiom, ( ~class_Orderings_Olinorder(_u7478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7478), _u7480), _u7481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), _u7480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), _u7481)) )).
% 43.36/43.56 cnf(fact_le__max__iff__disj-2, axiom, ( ~class_Orderings_Olinorder(_u7478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7478), _u7480), _u7481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), _u7480)) )).
% 43.36/43.56 cnf(fact_le__max__iff__disj-3, axiom, ( ~class_Orderings_Olinorder(_u7478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7478), _u7480), _u7481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), _u7481)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ole__iff__sup ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ole__iff__sup-1, axiom, ( ~class_Orderings_Olinorder(_u7482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7482), _u7483), _u7484)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7482), _u7483), _u7484) = _u7484) )).
% 43.36/43.56 cnf(fact_min__max_Ole__iff__sup-2, axiom, ( ~class_Orderings_Olinorder(_u7482) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7482), _u7483), _u7484) != _u7484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7482), _u7483), _u7484)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_le__maxI2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_le__maxI2-1, axiom, ( ~class_Orderings_Olinorder(_u7485) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7485), _u7486), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7485), _u7487), _u7486))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_le__maxI1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_le__maxI1-1, axiom, ( ~class_Orderings_Olinorder(_u7488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7488), _u7489), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7488), _u7489), _u7490))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__inf__absorb ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u7491) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7491), _u7492), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7491), _u7492), _u7493)) = _u7492) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__sup__absorb ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u7494) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7494), _u7495), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7494), _u7495), _u7496)) = _u7495) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__inf__distrib1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__inf__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u7497) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7497), _u7498), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7497), _u7499), _u7500)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7497), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7497), _u7498), _u7499)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7497), _u7498), _u7500))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__sup__distrib1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__sup__distrib1-1, axiom, ( ~class_Orderings_Olinorder(_u7501) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7501), _u7502), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7501), _u7503), _u7504)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7501), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7501), _u7502), _u7503)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7501), _u7502), _u7504))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__inf__distrib2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__inf__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u7505) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7505), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7505), _u7506), _u7507)), _u7508) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7505), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7505), _u7506), _u7508)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7505), _u7507), _u7508))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__sup__distrib2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__sup__distrib2-1, axiom, ( ~class_Orderings_Olinorder(_u7509) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7509), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7509), _u7510), _u7511)), _u7512) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7509), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7509), _u7510), _u7512)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7509), _u7511), _u7512))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__of__mono ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__of__mono-1, axiom, ( ~class_Orderings_Olinorder(_u7513) | ~class_Orderings_Olinorder(_u7514) | ~c_Orderings_Oorder__class_Omono(_u7514, _u7513, _u7515) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7513), hAPP(_u7515, _u7516)), hAPP(_u7515, _u7517)) = hAPP(_u7515, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7514), _u7516), _u7517))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Ofun__left__comm__idem__sup ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Ofun__left__comm__idem__sup-1, axiom, ( ~class_Orderings_Olinorder(_u7518) | c_Finite__Set_Ofun__left__comm__idem(_u7518, _u7518, c_Orderings_Oord__class_Omax(_u7518)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Odistrib__sup__le ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Odistrib__sup__le-1, axiom, ( ~class_Orderings_Olinorder(_u7519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7519), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7519), _u7520), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7519), _u7521), _u7522))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7519), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7519), _u7520), _u7521)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7519), _u7520), _u7522)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Odistrib__inf__le ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Odistrib__inf__le-1, axiom, ( ~class_Orderings_Olinorder(_u7523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7523), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7523), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7523), _u7524), _u7525)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7523), _u7524), _u7526))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7523), _u7524), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7523), _u7525), _u7526)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_nat__minus__add__max ( axiom ) converted to clauses:
% 43.36/43.56 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), _u7527), _u7528)), _u7528) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7527), _u7528)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__Suc1 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__Suc1-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7529)), _u7530) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7529), 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), _u7529)), _u7530)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__Suc2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__Suc2-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7531), hAPP(c_Nat_OSuc, _u7532)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7532), 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)), _u7532)), _u7531)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_max__ord__max ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_max__ord__max-1, axiom, ( ~class_Orderings_Oord(_u7533) | ( c_Orderings_Oord__class_Omax(_u7533) = c_Orderings_Oord_Omax(_u7533, c_Orderings_Oord__class_Oless__eq(_u7533))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Oin__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7534), _u7535)) | ~hBOOL(hAPP(hAPP(c_member(_u7534), _u7536), _u7535)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7534), _u7536), c_Big__Operators_Olinorder__class_OMax(_u7534, _u7535)) = c_Big__Operators_Olinorder__class_OMax(_u7534, _u7535)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Omono__sup ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Omono__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u7537) | ~class_Orderings_Olinorder(_u7538) | ~c_Orderings_Oorder__class_Omono(_u7538, _u7537, _u7539) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7537), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7537), hAPP(_u7539, _u7540)), hAPP(_u7539, _u7541))), hAPP(_u7539, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7538), _u7540), _u7541)))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__atLeastAtMost ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__atLeastAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u7542) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7542, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7542, _u7543, _u7544)), c_SetInterval_Oord__class_OatLeastAtMost(_u7542, _u7545, _u7546)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7542, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7542), _u7543), _u7545), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7542), _u7544), _u7546))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__atLeastLessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__atLeastLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u7547) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7547, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7547, _u7548), _u7549)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7547, _u7550), _u7551)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7547, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7547), _u7548), _u7550)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7547), _u7549), _u7551))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__greaterThanAtMost ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__greaterThanAtMost-1, axiom, ( ~class_Orderings_Olinorder(_u7552) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7552, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7552, _u7553, _u7554)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7552, _u7555, _u7556)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7552, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7552), _u7553), _u7555), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7552), _u7554), _u7556))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__greaterThanLessThan ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__greaterThanLessThan-1, axiom, ( ~class_Orderings_Olinorder(_u7557) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7557, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7557, _u7558, _u7559)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7557, _u7560, _u7561)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7557, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7557), _u7558), _u7560), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7557), _u7559), _u7561))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__atLeastAtMostR2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__atLeastAtMostR2-1, axiom, ( ~class_Orderings_Olinorder(_u7562) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7562, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u7562), _u7563)), c_SetInterval_Oord__class_OatLeastAtMost(_u7562, _u7564, _u7565)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7562, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7562), _u7563), _u7564), _u7565)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Int__atLeastAtMostL2 ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Int__atLeastAtMostL2-1, axiom, ( ~class_Orderings_Olinorder(_u7566) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7566, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7566, _u7567, _u7568)), hAPP(c_SetInterval_Oord__class_OatLeast(_u7566), _u7569)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7566, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7566), _u7567), _u7569), _u7568)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_OF__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u7570) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7570), _u7571)) | ( c_Big__Operators_Olinorder__class_OMax(_u7570, _u7571) = hAPP(c_Finite__Set_Ofold1(_u7570, c_Orderings_Oord__class_Omax(_u7570)), _u7571)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_dual__min ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_dual__min-1, axiom, ( ~class_Orderings_Olinorder(_u7572) | ( c_Orderings_Oord_Omin(_u7572, hAPP(c_COMBC(_u7572, _u7572, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7572))) = c_Orderings_Oord__class_Omax(_u7572)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max__insert ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max__insert-1, axiom, ( ~class_Orderings_Olinorder(_u7573) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7573), _u7574)) | ( _u7574 = c_Orderings_Obot__class_Obot(tc_fun(_u7573, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7573, hAPP(hAPP(c_Set_Oinsert(_u7573), _u7575), _u7574)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7573), _u7575), c_Big__Operators_Olinorder__class_OMax(_u7573, _u7574))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Osubset__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7576), _u7577)) | ( _u7578 = c_Orderings_Obot__class_Obot(tc_fun(_u7576, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7576, tc_HOL_Obool)), _u7578), _u7577)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7576), c_Big__Operators_Olinorder__class_OMax(_u7576, _u7578)), c_Big__Operators_Olinorder__class_OMax(_u7576, _u7577)) = c_Big__Operators_Olinorder__class_OMax(_u7576, _u7577)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Osup__Inf__absorb ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Osup__Inf__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u7579) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7579), _u7580)) | ~hBOOL(hAPP(hAPP(c_member(_u7579), _u7581), _u7580)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7579), _u7581), c_Big__Operators_Olattice_OInf__fin(_u7579, c_Orderings_Oord__class_Omin(_u7579), _u7580)) = _u7581) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max__Un ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max__Un-1, axiom, ( ~class_Orderings_Olinorder(_u7582) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7582), _u7583)) | ( _u7583 = c_Orderings_Obot__class_Obot(tc_fun(_u7582, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7582), _u7584)) | ( _u7584 = c_Orderings_Obot__class_Obot(tc_fun(_u7582, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7582, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7582, tc_HOL_Obool)), _u7583), _u7584)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7582), c_Big__Operators_Olinorder__class_OMax(_u7582, _u7583)), c_Big__Operators_Olinorder__class_OMax(_u7582, _u7584))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Oinsert ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u7585) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7585), _u7586)) | hBOOL(hAPP(hAPP(c_member(_u7585), _u7587), _u7586)) | ( _u7586 = c_Orderings_Obot__class_Obot(tc_fun(_u7585, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7585, hAPP(hAPP(c_Set_Oinsert(_u7585), _u7587), _u7586)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7585), _u7587), c_Big__Operators_Olinorder__class_OMax(_u7585, _u7586))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u7588) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7588), _u7589)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7588, tc_HOL_Obool)), _u7589), hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7588, hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), _u7589)) = _u7590) )).
% 43.36/43.56 cnf(fact_Max_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u7588) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7588), _u7589)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7588, tc_HOL_Obool)), _u7589), hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7588, hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), _u7589)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7588), _u7590), c_Big__Operators_Olinorder__class_OMax(_u7588, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7588, tc_HOL_Obool)), _u7589), hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u7591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7591), _u7592)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7591), _u7593)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7591, tc_HOL_Obool)), _u7592), _u7593) = c_Orderings_Obot__class_Obot(tc_fun(_u7591, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7591), c_Big__Operators_Olinorder__class_OMax(_u7591, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7591, tc_HOL_Obool)), _u7592), _u7593))), c_Big__Operators_Olinorder__class_OMax(_u7591, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7591, tc_HOL_Obool)), _u7592), _u7593))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7591), c_Big__Operators_Olinorder__class_OMax(_u7591, _u7592)), c_Big__Operators_Olinorder__class_OMax(_u7591, _u7593))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Ounion__disjoint ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u7594) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7594), _u7595)) | ( _u7595 = c_Orderings_Obot__class_Obot(tc_fun(_u7594, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7594), _u7596)) | ( _u7596 = c_Orderings_Obot__class_Obot(tc_fun(_u7594, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7594, tc_HOL_Obool)), _u7595), _u7596) != c_Orderings_Obot__class_Obot(tc_fun(_u7594, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7594, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7594, tc_HOL_Obool)), _u7595), _u7596)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7594), c_Big__Operators_Olinorder__class_OMax(_u7594, _u7595)), c_Big__Operators_Olinorder__class_OMax(_u7594, _u7596))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__Sup1__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__Sup1__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u7597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7597), _u7598)) | ( _u7598 = c_Orderings_Obot__class_Obot(tc_fun(_u7597, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7597), _u7599), c_Big__Operators_Olattice_OSup__fin(_u7597, c_Orderings_Oord__class_Omax(_u7597), _u7598)) = c_Big__Operators_Olattice_OSup__fin(_u7597, c_Orderings_Oord__class_Omax(_u7597), hAPP(c_Set_OCollect(_u7597), hAPP(hAPP(c_COMBB(tc_fun(_u7597, tc_HOL_Obool), tc_HOL_Obool, _u7597), c_HOL_OEx(_u7597)), hAPP(hAPP(c_COMBC(_u7597, tc_fun(_u7597, tc_HOL_Obool), tc_fun(_u7597, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7597, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u7597, tc_HOL_Obool), tc_fun(_u7597, tc_HOL_Obool)), _u7597), c_COMBS(_u7597, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7597, tc_HOL_Obool), tc_fun(_u7597, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7597), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7597), c_fconj)), hAPP(hAPP(c_COMBC(_u7597, tc_fun(_u7597, _u7597), tc_fun(_u7597, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7597, tc_HOL_Obool), tc_fun(tc_fun(_u7597, _u7597), tc_fun(_u7597, tc_HOL_Obool)), _u7597), c_COMBB(_u7597, tc_HOL_Obool, _u7597)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u7597), _u7599))))), hAPP(hAPP(c_COMBC(_u7597, tc_fun(_u7597, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7597)), _u7598)))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__Sup2__distrib ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__Sup2__distrib-1, axiom, ( ~class_Orderings_Olinorder(_u7600) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7600), _u7601)) | ( _u7601 = c_Orderings_Obot__class_Obot(tc_fun(_u7600, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7600), _u7602)) | ( _u7602 = c_Orderings_Obot__class_Obot(tc_fun(_u7600, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7600), c_Big__Operators_Olattice_OSup__fin(_u7600, c_Orderings_Oord__class_Omax(_u7600), _u7601)), c_Big__Operators_Olattice_OSup__fin(_u7600, c_Orderings_Oord__class_Omax(_u7600), _u7602)) = c_Big__Operators_Olattice_OSup__fin(_u7600, c_Orderings_Oord__class_Omax(_u7600), hAPP(c_Set_OCollect(_u7600), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_HOL_Obool), tc_HOL_Obool, _u7600), c_HOL_OEx(_u7600)), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool)), tc_fun(_u7600, tc_HOL_Obool), _u7600), hAPP(c_COMBB(tc_fun(_u7600, tc_HOL_Obool), tc_HOL_Obool, _u7600), c_HOL_OEx(_u7600))), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool)), tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_fun(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool))), tc_fun(tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool)), tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool))), _u7600), c_COMBS(_u7600, tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_fun(_u7600, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u7600, tc_fun(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool))), _u7600), hAPP(c_COMBB(tc_fun(_u7600, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool)), _u7600), c_COMBS(_u7600, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool)), tc_fun(_u7600, tc_fun(_u7600, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u7600), hAPP(c_COMBB(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7600), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7600), c_fconj))), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_fun(_u7600, _u7600)), tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7600, _u7600), tc_fun(_u7600, tc_HOL_Obool)), tc_fun(tc_fun(_u7600, tc_fun(_u7600, _u7600)), tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool))), _u7600), c_COMBB(tc_fun(_u7600, _u7600), tc_fun(_u7600, tc_HOL_Obool), _u7600)), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_HOL_Obool), tc_fun(tc_fun(_u7600, _u7600), tc_fun(_u7600, tc_HOL_Obool)), _u7600), c_COMBB(_u7600, tc_HOL_Obool, _u7600)), c_fequal))), c_Orderings_Oord__class_Omin(_u7600)))))), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool)), _u7600), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7600)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7600), c_fconj), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7600)), _u7601)))), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7600)), _u7602)))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_Max_Oclosed ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_Max_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u7605) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7605), _u7606)) | ( _u7606 = c_Orderings_Obot__class_Obot(tc_fun(_u7605, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7605), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7605), skolem208(_u7606, _u7605)), skolem209(_u7606, _u7605))), hAPP(hAPP(c_Set_Oinsert(_u7605), skolem208(_u7606, _u7605)), hAPP(hAPP(c_Set_Oinsert(_u7605), skolem209(_u7606, _u7605)), c_Orderings_Obot__class_Obot(tc_fun(_u7605, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7605), c_Big__Operators_Olinorder__class_OMax(_u7605, _u7606)), _u7606)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OInf__le__Sup ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OInf__le__Sup-1, axiom, ( ~class_Orderings_Olinorder(_u7607) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7607), _u7608)) | ( _u7608 = c_Orderings_Obot__class_Obot(tc_fun(_u7607, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7607), c_Big__Operators_Olattice_OInf__fin(_u7607, c_Orderings_Oord__class_Omin(_u7607), _u7608)), c_Big__Operators_Olattice_OSup__fin(_u7607, c_Orderings_Oord__class_Omax(_u7607), _u7608))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OSup__fin_Oremove ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OSup__fin_Oremove-1, axiom, ( ~class_Orderings_Olinorder(_u7609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ~hBOOL(hAPP(hAPP(c_member(_u7609), _u7611), _u7610)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7609, tc_HOL_Obool)), _u7610), hAPP(hAPP(c_Set_Oinsert(_u7609), _u7611), c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7609, c_Orderings_Oord__class_Omax(_u7609), _u7610) = _u7611) )).
% 43.36/43.56 cnf(fact_min__max_OSup__fin_Oremove-2, axiom, ( ~class_Orderings_Olinorder(_u7609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ~hBOOL(hAPP(hAPP(c_member(_u7609), _u7611), _u7610)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7609, tc_HOL_Obool)), _u7610), hAPP(hAPP(c_Set_Oinsert(_u7609), _u7611), c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7609, c_Orderings_Oord__class_Omax(_u7609), _u7610) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7609), _u7611), c_Big__Operators_Olattice_OSup__fin(_u7609, c_Orderings_Oord__class_Omax(_u7609), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7609, tc_HOL_Obool)), _u7610), hAPP(hAPP(c_Set_Oinsert(_u7609), _u7611), c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool))))))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_sup__nat__def ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_sup__nat__def-1, axiom, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OSup__fin_Oin__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OSup__fin_Oin__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7612), _u7613)) | ~hBOOL(hAPP(hAPP(c_member(_u7612), _u7614), _u7613)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7612), _u7614), c_Big__Operators_Olattice_OSup__fin(_u7612, c_Orderings_Oord__class_Omax(_u7612), _u7613)) = c_Big__Operators_Olattice_OSup__fin(_u7612, c_Orderings_Oord__class_Omax(_u7612), _u7613)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OSup__fin_Osingleton ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OSup__fin_Osingleton-1, axiom, ( ~class_Orderings_Olinorder(_u7615) | ( c_Big__Operators_Olattice_OSup__fin(_u7615, c_Orderings_Oord__class_Omax(_u7615), hAPP(hAPP(c_Set_Oinsert(_u7615), _u7616), c_Orderings_Obot__class_Obot(tc_fun(_u7615, tc_HOL_Obool)))) = _u7616) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OSup__fin_OF__eq ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OSup__fin_OF__eq-1, axiom, ( ~class_Orderings_Olinorder(_u7617) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7617), _u7618)) | ( c_Big__Operators_Olattice_OSup__fin(_u7617, c_Orderings_Oord__class_Omax(_u7617), _u7618) = hAPP(c_Finite__Set_Ofold1(_u7617, c_Orderings_Oord__class_Omax(_u7617)), _u7618)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OSup__fin_Oinsert__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OSup__fin_Oinsert__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7619) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7619), _u7620)) | ( _u7620 = c_Orderings_Obot__class_Obot(tc_fun(_u7619, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7619, c_Orderings_Oord__class_Omax(_u7619), hAPP(hAPP(c_Set_Oinsert(_u7619), _u7621), _u7620)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7619), _u7621), c_Big__Operators_Olattice_OSup__fin(_u7619, c_Orderings_Oord__class_Omax(_u7619), _u7620))) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OSup__fin_Osubset__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OSup__fin_Osubset__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7622) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7622), _u7623)) | ( _u7624 = c_Orderings_Obot__class_Obot(tc_fun(_u7622, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7622, tc_HOL_Obool)), _u7624), _u7623)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7622), c_Big__Operators_Olattice_OSup__fin(_u7622, c_Orderings_Oord__class_Omax(_u7622), _u7624)), c_Big__Operators_Olattice_OSup__fin(_u7622, c_Orderings_Oord__class_Omax(_u7622), _u7623)) = c_Big__Operators_Olattice_OSup__fin(_u7622, c_Orderings_Oord__class_Omax(_u7622), _u7623)) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_Oinf__Sup__absorb ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_Oinf__Sup__absorb-1, axiom, ( ~class_Orderings_Olinorder(_u7625) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7625), _u7626)) | ~hBOOL(hAPP(hAPP(c_member(_u7625), _u7627), _u7626)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7625), _u7627), c_Big__Operators_Olattice_OSup__fin(_u7625, c_Orderings_Oord__class_Omax(_u7625), _u7626)) = _u7627) )).
% 43.36/43.56
% 43.36/43.56 % Formula: fact_min__max_OSup__fin_Ounion__idem ( axiom ) converted to clauses:
% 43.36/43.56 cnf(fact_min__max_OSup__fin_Ounion__idem-1, axiom, ( ~class_Orderings_Olinorder(_u7628) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7628), _u7629)) | ( _u7629 = c_Orderings_Obot__class_Obot(tc_fun(_u7628, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7628), _u7630)) | ( _u7630 = c_Orderings_Obot__class_Obot(tc_fun(_u7628, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7628, c_Orderings_Oord__class_Omax(_u7628), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7628, tc_HOL_Obool)), _u7629), _u7630)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7628), c_Big__Operators_Olattice_OSup__fin(_u7628, c_Orderings_Oord__class_Omax(_u7628), _u7629)), c_Big__Operators_Olattice_OSup__fin(_u7628, c_Orderings_Oord__class_Omax(_u7628), _u7630))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_min__max_OSup__fin_Oinsert ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_min__max_OSup__fin_Oinsert-1, axiom, ( ~class_Orderings_Olinorder(_u7631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7631), _u7632)) | hBOOL(hAPP(hAPP(c_member(_u7631), _u7633), _u7632)) | ( _u7632 = c_Orderings_Obot__class_Obot(tc_fun(_u7631, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7631, c_Orderings_Oord__class_Omax(_u7631), hAPP(hAPP(c_Set_Oinsert(_u7631), _u7633), _u7632)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7631), _u7633), c_Big__Operators_Olattice_OSup__fin(_u7631, c_Orderings_Oord__class_Omax(_u7631), _u7632))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_min__max_OSup__fin_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_min__max_OSup__fin_Oinsert__remove-1, axiom, ( ~class_Orderings_Olinorder(_u7634) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7634), _u7635)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7634, tc_HOL_Obool)), _u7635), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7634, c_Orderings_Oord__class_Omax(_u7634), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), _u7635)) = _u7636) )).
% 43.36/43.57 cnf(fact_min__max_OSup__fin_Oinsert__remove-2, axiom, ( ~class_Orderings_Olinorder(_u7634) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7634), _u7635)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7634, tc_HOL_Obool)), _u7635), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7634, c_Orderings_Oord__class_Omax(_u7634), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), _u7635)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7634), _u7636), c_Big__Operators_Olattice_OSup__fin(_u7634, c_Orderings_Oord__class_Omax(_u7634), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7634, tc_HOL_Obool)), _u7635), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool))))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_min__max_OSup__fin_Ounion__disjoint ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_min__max_OSup__fin_Ounion__disjoint-1, axiom, ( ~class_Orderings_Olinorder(_u7637) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7637), _u7638)) | ( _u7638 = c_Orderings_Obot__class_Obot(tc_fun(_u7637, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7637), _u7639)) | ( _u7639 = c_Orderings_Obot__class_Obot(tc_fun(_u7637, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7637, tc_HOL_Obool)), _u7638), _u7639) != c_Orderings_Obot__class_Obot(tc_fun(_u7637, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7637, c_Orderings_Oord__class_Omax(_u7637), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7637, tc_HOL_Obool)), _u7638), _u7639)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7637), c_Big__Operators_Olattice_OSup__fin(_u7637, c_Orderings_Oord__class_Omax(_u7637), _u7638)), c_Big__Operators_Olattice_OSup__fin(_u7637, c_Orderings_Oord__class_Omax(_u7637), _u7639))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_min__max_OSup__fin_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_min__max_OSup__fin_Ounion__inter-1, axiom, ( ~class_Orderings_Olinorder(_u7640) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7640), _u7641)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7640), _u7642)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7640, tc_HOL_Obool)), _u7641), _u7642) = c_Orderings_Obot__class_Obot(tc_fun(_u7640, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7640), c_Big__Operators_Olattice_OSup__fin(_u7640, c_Orderings_Oord__class_Omax(_u7640), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7640, tc_HOL_Obool)), _u7641), _u7642))), c_Big__Operators_Olattice_OSup__fin(_u7640, c_Orderings_Oord__class_Omax(_u7640), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7640, tc_HOL_Obool)), _u7641), _u7642))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7640), c_Big__Operators_Olattice_OSup__fin(_u7640, c_Orderings_Oord__class_Omax(_u7640), _u7641)), c_Big__Operators_Olattice_OSup__fin(_u7640, c_Orderings_Oord__class_Omax(_u7640), _u7642))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_min__max_OSup__fin_Oclosed ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_min__max_OSup__fin_Oclosed-1, axiom, ( ~class_Orderings_Olinorder(_u7645) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7645), _u7646)) | ( _u7646 = c_Orderings_Obot__class_Obot(tc_fun(_u7645, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7645), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7645), skolem210(_u7646, _u7645)), skolem211(_u7646, _u7645))), hAPP(hAPP(c_Set_Oinsert(_u7645), skolem210(_u7646, _u7645)), hAPP(hAPP(c_Set_Oinsert(_u7645), skolem211(_u7646, _u7645)), c_Orderings_Obot__class_Obot(tc_fun(_u7645, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7645), c_Big__Operators_Olattice_OSup__fin(_u7645, c_Orderings_Oord__class_Omax(_u7645), _u7646)), _u7646)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_min__max_OSup__fin_Ohom__commute ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_min__max_OSup__fin_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7649) | ( hAPP(_u7650, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7649), skolem212(_u7651, _u7650, _u7649)), skolem213(_u7651, _u7650, _u7649))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7649), hAPP(_u7650, skolem212(_u7651, _u7650, _u7649))), hAPP(_u7650, skolem213(_u7651, _u7650, _u7649)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7649), _u7651)) | ( _u7651 = c_Orderings_Obot__class_Obot(tc_fun(_u7649, tc_HOL_Obool))) | ( hAPP(_u7650, c_Big__Operators_Olattice_OSup__fin(_u7649, c_Orderings_Oord__class_Omax(_u7649), _u7651)) = c_Big__Operators_Olattice_OSup__fin(_u7649, c_Orderings_Oord__class_Omax(_u7649), hAPP(c_Set_Oimage(_u7649, _u7649, _u7650), _u7651))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Max_Ohom__commute ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Max_Ohom__commute-1, axiom, ( ~class_Orderings_Olinorder(_u7654) | ( hAPP(_u7655, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7654), skolem214(_u7656, _u7655, _u7654)), skolem215(_u7656, _u7655, _u7654))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7654), hAPP(_u7655, skolem214(_u7656, _u7655, _u7654))), hAPP(_u7655, skolem215(_u7656, _u7655, _u7654)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7654), _u7656)) | ( _u7656 = c_Orderings_Obot__class_Obot(tc_fun(_u7654, tc_HOL_Obool))) | ( hAPP(_u7655, c_Big__Operators_Olinorder__class_OMax(_u7654, _u7656)) = c_Big__Operators_Olinorder__class_OMax(_u7654, hAPP(c_Set_Oimage(_u7654, _u7654, _u7655), _u7656))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_finite__UN__I ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_finite__UN__I-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7658), _u7659)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7658, tc_fun(_u7660, tc_HOL_Obool)), _u7659), _u7661))) | hBOOL(hAPP(hAPP(c_member(_u7658), skolem216(_u7661, _u7660, _u7659, _u7658)), _u7659)) )).
% 43.36/43.57 cnf(fact_finite__UN__I-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7658), _u7659)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7658, tc_fun(_u7660, tc_HOL_Obool)), _u7659), _u7661))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7660), hAPP(_u7661, skolem216(_u7661, _u7660, _u7659, _u7658)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__nat__eq__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__nat__eq__if-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7664)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7666)), hAPP(c_Int_Onat, _u7664)) = hAPP(c_Int_Onat, _u7666)) )).
% 43.36/43.57 cnf(fact_diff__nat__eq__if-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7665)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7667)), hAPP(c_Int_Onat, _u7665)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7667), _u7665)), 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))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_not__neg__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_not__neg__0-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_not__neg__int ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_not__neg__int-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7668))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_not__neg__1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_not__neg__1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_not__neg__eq__ge__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_not__neg__eq__ge__0-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7670)) )).
% 43.36/43.57 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)), _u7671)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7671)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__def ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__def-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7673), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_neg__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7674), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7674)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__nat ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__nat-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7675)) | ( hAPP(c_Int_Onat, _u7675) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_not__neg__nat ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_not__neg__nat-1, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7676)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7676)) = _u7676) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setsum__cases ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setsum__cases-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u7677) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7678), _u7679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, _u7677), hAPP(hAPP(c_COMBS(_u7678, _u7677, _u7677), hAPP(hAPP(c_COMBS(_u7678, _u7677, tc_fun(_u7677, _u7677)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7677, tc_fun(_u7677, _u7677)), _u7678), c_If(_u7677)), _u7680)), _u7681)), _u7682)), _u7679) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7677), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, _u7677), _u7681), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7678, tc_HOL_Obool)), _u7679), hAPP(c_Set_OCollect(_u7678), _u7680)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, _u7677), _u7682), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7678, tc_HOL_Obool)), _u7679), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7678, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u7678), _u7680)))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Oremove ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Oremove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7683) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7684), _u7685)) | ~hBOOL(hAPP(hAPP(c_member(_u7684), _u7686), _u7685)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7684, _u7683), _u7687), _u7685) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7683), hAPP(_u7687, _u7686)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7684, _u7683), _u7687), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7684, tc_HOL_Obool)), _u7685), hAPP(hAPP(c_Set_Oinsert(_u7684), _u7686), c_Orderings_Obot__class_Obot(tc_fun(_u7684, tc_HOL_Obool))))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osize_I5_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osize_I5_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u7688, _u7689, _u7690)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u7689)), c_Com_Ocom_Ocom__size(_u7690))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osize_I13_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osize_I13_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u7691, _u7692, _u7693)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7692)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7693))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_fold__image__1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_fold__image__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7695) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7696), _u7697)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7695, _u7696, c_Groups_Otimes__class_Otimes(_u7695)), _u7698), c_Groups_Oone__class_Oone(_u7695)), _u7697) = c_Groups_Oone__class_Oone(_u7695)) | hBOOL(hAPP(hAPP(c_member(_u7696), skolem217(_u7698, _u7697, _u7696, _u7695)), _u7697)) )).
% 43.36/43.57 cnf(fact_fold__image__1-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7695) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7696), _u7697)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7695, _u7696, c_Groups_Otimes__class_Otimes(_u7695)), _u7698), c_Groups_Oone__class_Oone(_u7695)), _u7697) = c_Groups_Oone__class_Oone(_u7695)) | ( hAPP(_u7698, skolem217(_u7698, _u7697, _u7696, _u7695)) != c_Groups_Oone__class_Oone(_u7695)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_inj__uminus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_inj__uminus-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7699) | c_Fun_Oinj__on(_u7699, _u7699, c_Groups_Ouminus__class_Ouminus(_u7699), _u7700) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_ComplI ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_ComplI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7701), _u7702), _u7703)) | hBOOL(hAPP(hAPP(c_member(_u7701), _u7702), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7701, tc_HOL_Obool)), _u7703))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evaln__elim__cases_I5_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evaln__elim__cases_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7704, _u7705, _u7706), _u7707, _u7708, _u7709) | hBOOL(hAPP(_u7704, _u7707)) | c_Natural_Oevaln(_u7706, _u7707, _u7708, _u7709) )).
% 43.36/43.57 cnf(fact_evaln__elim__cases_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7704, _u7705, _u7706), _u7707, _u7708, _u7709) | c_Natural_Oevaln(_u7705, _u7707, _u7708, _u7709) | ~hBOOL(hAPP(_u7704, _u7707)) )).
% 43.36/43.57 cnf(fact_evaln__elim__cases_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7704, _u7705, _u7706), _u7707, _u7708, _u7709) | c_Natural_Oevaln(_u7705, _u7707, _u7708, _u7709) | c_Natural_Oevaln(_u7706, _u7707, _u7708, _u7709) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evaln_OIfTrue ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evaln_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u7710, _u7711)) | ~c_Natural_Oevaln(_u7712, _u7711, _u7713, _u7714) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u7710, _u7712, _u7715), _u7711, _u7713, _u7714) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evaln_OIfFalse ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evaln_OIfFalse-1, axiom, ( hBOOL(hAPP(_u7716, _u7717)) | ~c_Natural_Oevaln(_u7718, _u7717, _u7719, _u7720) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u7716, _u7721, _u7718), _u7717, _u7719, _u7720) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evalc_OIfFalse ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evalc_OIfFalse-1, axiom, ( hBOOL(hAPP(_u7722, _u7723)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7724), _u7723), _u7725)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7722, _u7726, _u7724)), _u7723), _u7725)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evalc_OIfTrue ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evalc_OIfTrue-1, axiom, ( ~hBOOL(hAPP(_u7727, _u7728)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7729), _u7728), _u7730)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7727, _u7729, _u7731)), _u7728), _u7730)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evalc__elim__cases_I5_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evalc__elim__cases_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7732, _u7733, _u7734)), _u7735), _u7736)) | hBOOL(hAPP(_u7732, _u7735)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7734), _u7735), _u7736)) )).
% 43.36/43.57 cnf(fact_evalc__elim__cases_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7732, _u7733, _u7734)), _u7735), _u7736)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7733), _u7735), _u7736)) | ~hBOOL(hAPP(_u7732, _u7735)) )).
% 43.36/43.57 cnf(fact_evalc__elim__cases_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7732, _u7733, _u7734)), _u7735), _u7736)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7733), _u7735), _u7736)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7734), _u7735), _u7736)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_transfer__nat__int__sum__prod2_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_transfer__nat__int__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7737, tc_Nat_Onat), _u7738), _u7739) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7737, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7737), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7738)), _u7739))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__le__compl__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__le__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7740), hAPP(c_Groups_Ouminus__class_Ouminus(_u7740), _u7741)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7740), _u7742))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7740), _u7742), _u7741)) )).
% 43.36/43.57 cnf(fact_compl__le__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u7740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7740), _u7742), _u7741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7740), hAPP(c_Groups_Ouminus__class_Ouminus(_u7740), _u7741)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7740), _u7742))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__mono-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7743) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7743), _u7744), _u7745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7743), hAPP(c_Groups_Ouminus__class_Ouminus(_u7743), _u7745)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7743), _u7744))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_le__minus__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_le__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7746), _u7747), hAPP(c_Groups_Ouminus__class_Ouminus(_u7746), _u7748))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7746), _u7748), hAPP(c_Groups_Ouminus__class_Ouminus(_u7746), _u7747))) )).
% 43.36/43.57 cnf(fact_le__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7746), _u7748), hAPP(c_Groups_Ouminus__class_Ouminus(_u7746), _u7747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7746), _u7747), hAPP(c_Groups_Ouminus__class_Ouminus(_u7746), _u7748))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__le__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7749), hAPP(c_Groups_Ouminus__class_Ouminus(_u7749), _u7750)), _u7751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7749), hAPP(c_Groups_Ouminus__class_Ouminus(_u7749), _u7751)), _u7750)) )).
% 43.36/43.57 cnf(fact_minus__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7749), hAPP(c_Groups_Ouminus__class_Ouminus(_u7749), _u7751)), _u7750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7749), hAPP(c_Groups_Ouminus__class_Ouminus(_u7749), _u7750)), _u7751)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__le__iff__le ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7752), hAPP(c_Groups_Ouminus__class_Ouminus(_u7752), _u7753)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7752), _u7754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7752), _u7754), _u7753)) )).
% 43.36/43.57 cnf(fact_neg__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7752), _u7754), _u7753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7752), hAPP(c_Groups_Ouminus__class_Ouminus(_u7752), _u7753)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7752), _u7754))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_le__imp__neg__le ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_le__imp__neg__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7755) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7755), _u7756), _u7757)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7755), hAPP(c_Groups_Ouminus__class_Ouminus(_u7755), _u7757)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7755), _u7756))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__equal__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__equal__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7758) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7758), _u7759) != _u7759) | ( _u7759 = c_Groups_Ozero__class_Ozero(_u7758)) )).
% 43.36/43.57 cnf(fact_neg__equal__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7758) | ( _u7759 != c_Groups_Ozero__class_Ozero(_u7758)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7758), _u7759) = _u7759) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__equal__0__iff__equal ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__equal__0__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u7760) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7760), _u7761) != c_Groups_Ozero__class_Ozero(_u7760)) | ( _u7761 = c_Groups_Ozero__class_Ozero(_u7760)) )).
% 43.36/43.57 cnf(fact_neg__equal__0__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u7760) | ( _u7761 != c_Groups_Ozero__class_Ozero(_u7760)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7760), _u7761) = c_Groups_Ozero__class_Ozero(_u7760)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_equal__neg__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_equal__neg__zero-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7762) | ( _u7763 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7762), _u7763)) | ( _u7763 = c_Groups_Ozero__class_Ozero(_u7762)) )).
% 43.36/43.57 cnf(fact_equal__neg__zero-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u7762) | ( _u7763 != c_Groups_Ozero__class_Ozero(_u7762)) | ( _u7763 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7762), _u7763)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__0__equal__iff__equal ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__0__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u7764) | ( c_Groups_Ozero__class_Ozero(_u7764) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7764), _u7765)) | ( c_Groups_Ozero__class_Ozero(_u7764) = _u7765) )).
% 43.36/43.57 cnf(fact_neg__0__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u7764) | ( c_Groups_Ozero__class_Ozero(_u7764) != _u7765) | ( c_Groups_Ozero__class_Ozero(_u7764) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7764), _u7765)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__zero-1, axiom, ( ~class_Groups_Ogroup__add(_u7766) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7766), c_Groups_Ozero__class_Ozero(_u7766)) = c_Groups_Ozero__class_Ozero(_u7766)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_less__minus__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_less__minus__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7767), _u7768), hAPP(c_Groups_Ouminus__class_Ouminus(_u7767), _u7769))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7767), _u7769), hAPP(c_Groups_Ouminus__class_Ouminus(_u7767), _u7768))) )).
% 43.36/43.57 cnf(fact_less__minus__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7767), _u7769), hAPP(c_Groups_Ouminus__class_Ouminus(_u7767), _u7768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7767), _u7768), hAPP(c_Groups_Ouminus__class_Ouminus(_u7767), _u7769))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__less__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__less__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7770), hAPP(c_Groups_Ouminus__class_Ouminus(_u7770), _u7771)), _u7772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7770), hAPP(c_Groups_Ouminus__class_Ouminus(_u7770), _u7772)), _u7771)) )).
% 43.36/43.57 cnf(fact_minus__less__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7770), hAPP(c_Groups_Ouminus__class_Ouminus(_u7770), _u7772)), _u7771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7770), hAPP(c_Groups_Ouminus__class_Ouminus(_u7770), _u7771)), _u7772)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__less__iff__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7773), hAPP(c_Groups_Ouminus__class_Ouminus(_u7773), _u7774)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7773), _u7775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7773), _u7775), _u7774)) )).
% 43.36/43.57 cnf(fact_neg__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u7773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7773), _u7775), _u7774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7773), hAPP(c_Groups_Ouminus__class_Ouminus(_u7773), _u7774)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7773), _u7775))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_int__setprod ( axiom ) converted to clauses:
% 43.36/43.57 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(_u7776, tc_Nat_Onat), _u7777), _u7778)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7776, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7776), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7777)), _u7778)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__nat__setprod ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__nat__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7779) | ~class_Rings_Osemiring__1(_u7779) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7779), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7780, tc_Nat_Onat), _u7781), _u7782)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7780, _u7779), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7779, _u7780), c_Nat_Osemiring__1__class_Oof__nat(_u7779)), _u7781)), _u7782)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osimps_I4_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osimps_I4_J-1, axiom, ( ( c_Com_Ocom_OCond(_u7789, _u7791, _u7793) != c_Com_Ocom_OCond(_u7795, _u7797, _u7799)) | ( _u7789 = _u7795) )).
% 43.36/43.57 cnf(fact_com_Osimps_I4_J-2, axiom, ( ( c_Com_Ocom_OCond(_u7789, _u7791, _u7793) != c_Com_Ocom_OCond(_u7795, _u7797, _u7799)) | ( _u7791 = _u7797) )).
% 43.36/43.57 cnf(fact_com_Osimps_I4_J-3, axiom, ( ( c_Com_Ocom_OCond(_u7789, _u7791, _u7793) != c_Com_Ocom_OCond(_u7795, _u7797, _u7799)) | ( _u7793 = _u7799) )).
% 43.36/43.57 cnf(fact_com_Osimps_I4_J-4, axiom, ( ( _u7790 != _u7796) | ( _u7792 != _u7798) | ( _u7794 != _u7800) | ( c_Com_Ocom_OCond(_u7790, _u7792, _u7794) = c_Com_Ocom_OCond(_u7796, _u7798, _u7800)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__eq__compl__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__eq__compl__iff-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7801) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7801), _u7802) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7801), _u7803)) | ( _u7802 = _u7803) )).
% 43.36/43.57 cnf(fact_compl__eq__compl__iff-2, axiom, ( ~class_Lattices_Oboolean__algebra(_u7801) | ( _u7802 != _u7803) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7801), _u7802) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7801), _u7803)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__eq__Compl__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__eq__Compl__iff-1, axiom, ( ( _u7809 = _u7811) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7807, tc_HOL_Obool)), _u7809) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7807, tc_HOL_Obool)), _u7811)) )).
% 43.36/43.57 cnf(fact_Compl__eq__Compl__iff-2, axiom, ( ( _u7810 != _u7812) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7808, tc_HOL_Obool)), _u7810) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7808, tc_HOL_Obool)), _u7812)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_uminus__apply ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_uminus__apply-1, axiom, ( ~class_Groups_Ouminus(_u7813) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7814, _u7813)), _u7815), _u7816) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7813), hAPP(_u7815, _u7816))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_double__compl ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_double__compl-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u7817) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7817), hAPP(c_Groups_Ouminus__class_Ouminus(_u7817), _u7818)) = _u7818) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_double__complement ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_double__complement-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7819, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7819, tc_HOL_Obool)), _u7820)) = _u7820) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_fun__Compl__def ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_fun__Compl__def-1, axiom, ( ~class_Groups_Ouminus(_u7821) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7822, _u7821)), _u7823), _u7824) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7821), hAPP(_u7823, _u7824))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__equal__iff__equal ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__equal__iff__equal-1, axiom, ( ~class_Groups_Ogroup__add(_u7825) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7825), _u7826) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7825), _u7827)) | ( _u7826 = _u7827) )).
% 43.36/43.57 cnf(fact_neg__equal__iff__equal-2, axiom, ( ~class_Groups_Ogroup__add(_u7825) | ( _u7826 != _u7827) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7825), _u7826) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7825), _u7827)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__equation__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__equation__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u7828) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7828), _u7829) != _u7830) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7828), _u7830) = _u7829) )).
% 43.36/43.57 cnf(fact_minus__equation__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u7828) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7828), _u7830) != _u7829) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7828), _u7829) = _u7830) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_equation__minus__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_equation__minus__iff-1, axiom, ( ~class_Groups_Ogroup__add(_u7831) | ( _u7832 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7831), _u7833)) | ( _u7833 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7831), _u7832)) )).
% 43.36/43.57 cnf(fact_equation__minus__iff-2, axiom, ( ~class_Groups_Ogroup__add(_u7831) | ( _u7833 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7831), _u7832)) | ( _u7832 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7831), _u7833)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u7834) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7834), hAPP(c_Groups_Ouminus__class_Ouminus(_u7834), _u7835)) = _u7835) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__diff__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__diff__eq-1, axiom, ( ~class_Groups_Oab__group__add(_u7836) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7836), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7836), _u7837), _u7838)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7836), _u7838), _u7837)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7842), _u7844), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7842, tc_HOL_Obool)), _u7846))) | ~hBOOL(hAPP(hAPP(c_member(_u7842), _u7844), _u7846)) )).
% 43.36/43.57 cnf(fact_Compl__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u7843), _u7845), _u7847)) | hBOOL(hAPP(hAPP(c_member(_u7843), _u7845), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7843, tc_HOL_Obool)), _u7847))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_ComplD ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_ComplD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7848), _u7849), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7848, tc_HOL_Obool)), _u7850))) | ~hBOOL(hAPP(hAPP(c_member(_u7848), _u7849), _u7850)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_ComplE ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_ComplE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u7851), _u7852), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7851, tc_HOL_Obool)), _u7853))) | ~hBOOL(hAPP(hAPP(c_member(_u7851), _u7852), _u7853)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__mult__right ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__mult__right-1, axiom, ( ~class_Rings_Oring(_u7854) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7854), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7854), _u7855), _u7856)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7854), _u7855), hAPP(c_Groups_Ouminus__class_Ouminus(_u7854), _u7856))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__mult__left ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__mult__left-1, axiom, ( ~class_Rings_Oring(_u7857) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7857), _u7858), _u7859)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7857), hAPP(c_Groups_Ouminus__class_Ouminus(_u7857), _u7858)), _u7859)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__mult__commute ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__mult__commute-1, axiom, ( ~class_Rings_Oring(_u7860) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7860), hAPP(c_Groups_Ouminus__class_Ouminus(_u7860), _u7861)), _u7862) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7860), _u7861), hAPP(c_Groups_Ouminus__class_Ouminus(_u7860), _u7862))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__mult__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__mult__minus-1, axiom, ( ~class_Rings_Oring(_u7863) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7863), hAPP(c_Groups_Ouminus__class_Ouminus(_u7863), _u7864)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7863), _u7865)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7863), _u7864), _u7865)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_square__eq__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_square__eq__iff-1, axiom, ( ~class_Rings_Oidom(_u7866) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7867), _u7867) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7868), _u7868)) | ( _u7867 = _u7868) | ( _u7867 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7866), _u7868)) )).
% 43.36/43.57 cnf(fact_square__eq__iff-2, axiom, ( ~class_Rings_Oidom(_u7866) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7867), _u7867) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7868), _u7868)) | ( _u7867 != _u7868) )).
% 43.36/43.57 cnf(fact_square__eq__iff-3, axiom, ( ~class_Rings_Oidom(_u7866) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7867), _u7867) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7868), _u7868)) | ( _u7867 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7866), _u7868)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__add__distrib ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__add__distrib-1, axiom, ( ~class_Groups_Oab__group__add(_u7869) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7869), _u7870), _u7871)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7869), hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7870)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7871))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__add ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__add-1, axiom, ( ~class_Groups_Ogroup__add(_u7872) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7872), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7872), _u7873), _u7874)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7872), hAPP(c_Groups_Ouminus__class_Ouminus(_u7872), _u7874)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7872), _u7873))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_add__minus__cancel ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_add__minus__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u7875) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7875), _u7876), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7875), hAPP(c_Groups_Ouminus__class_Ouminus(_u7875), _u7876)), _u7877)) = _u7877) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__add__cancel ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__add__cancel-1, axiom, ( ~class_Groups_Ogroup__add(_u7878) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7878), hAPP(c_Groups_Ouminus__class_Ouminus(_u7878), _u7879)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7878), _u7879), _u7880)) = _u7880) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__minus__cancel ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__minus__cancel-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u7881) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7881), hAPP(c_Groups_Ouminus__class_Ouminus(_u7881), _u7882)) = hAPP(c_Groups_Oabs__class_Oabs(_u7881), _u7882)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__subset__Compl__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__subset__Compl__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7886, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7886, tc_HOL_Obool)), _u7888)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7886, tc_HOL_Obool)), _u7890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7886, tc_HOL_Obool)), _u7890), _u7888)) )).
% 43.36/43.57 cnf(fact_Compl__subset__Compl__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7887, tc_HOL_Obool)), _u7891), _u7889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7887, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7887, tc_HOL_Obool)), _u7889)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7887, tc_HOL_Obool)), _u7891))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__anti__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7892, tc_HOL_Obool)), _u7893), _u7894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7892, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7892, tc_HOL_Obool)), _u7894)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7892, tc_HOL_Obool)), _u7893))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_vimage__Compl ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_vimage__Compl-1, axiom, ( ( hAPP(c_Set_Ovimage(_u7895, _u7896, _u7897), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7896, tc_HOL_Obool)), _u7898)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7895, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7895, _u7896, _u7897), _u7898))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__timesf ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__timesf-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7899) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7900, _u7899), hAPP(hAPP(c_COMBS(_u7900, _u7899, _u7899), hAPP(hAPP(c_COMBB(_u7899, tc_fun(_u7899, _u7899), _u7900), c_Groups_Otimes__class_Otimes(_u7899)), _u7901)), _u7902)), _u7903) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7899), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7900, _u7899), _u7901), _u7903)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7900, _u7899), _u7902), _u7903))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__1-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u7904) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7905, _u7904), hAPP(c_COMBK(_u7904, _u7905), c_Groups_Oone__class_Oone(_u7904))), _u7906) = c_Groups_Oone__class_Oone(_u7904)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__setprod ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__setprod-1, axiom, ( ~class_Fields_Olinordered__field(_u7907) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7907), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7908, _u7907), _u7909), _u7910)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7908, _u7907), hAPP(hAPP(c_COMBB(_u7907, _u7907, _u7908), c_Groups_Oabs__class_Oabs(_u7907)), _u7909)), _u7910)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setsum__negf ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setsum__negf-1, axiom, ( ~class_Groups_Oab__group__add(_u7911) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7912, _u7911), hAPP(hAPP(c_COMBB(_u7911, _u7911, _u7912), c_Groups_Ouminus__class_Ouminus(_u7911)), _u7913)), _u7914) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7911), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7912, _u7911), _u7913), _u7914))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Collect__neg__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Collect__neg__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u7915), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7915), c_fNot), _u7916)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7915, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u7915), _u7916))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evaln_Oequations_I6_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evaln_Oequations_I6_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7923, _u7925, _u7927), _u7929, _u7931, _u7933) | hBOOL(hAPP(_u7923, _u7929)) | c_Natural_Oevaln(_u7927, _u7929, _u7931, _u7933) )).
% 43.36/43.57 cnf(fact_evaln_Oequations_I6_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7923, _u7925, _u7927), _u7929, _u7931, _u7933) | c_Natural_Oevaln(_u7925, _u7929, _u7931, _u7933) | ~hBOOL(hAPP(_u7923, _u7929)) )).
% 43.36/43.57 cnf(fact_evaln_Oequations_I6_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7923, _u7925, _u7927), _u7929, _u7931, _u7933) | c_Natural_Oevaln(_u7925, _u7929, _u7931, _u7933) | c_Natural_Oevaln(_u7927, _u7929, _u7931, _u7933) )).
% 43.36/43.57 cnf(fact_evaln_Oequations_I6_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u7924, _u7926, _u7928), _u7930, _u7932, _u7934) | ~hBOOL(hAPP(_u7924, _u7930)) | ~c_Natural_Oevaln(_u7926, _u7930, _u7932, _u7934) )).
% 43.36/43.57 cnf(fact_evaln_Oequations_I6_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u7924, _u7926, _u7928), _u7930, _u7932, _u7934) | hBOOL(hAPP(_u7924, _u7930)) | ~c_Natural_Oevaln(_u7928, _u7930, _u7932, _u7934) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evaln_Oequations_I5_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evaln_Oequations_I5_J-1, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7941, _u7943, _u7945), _u7947, _u7949, _u7951) | hBOOL(hAPP(_u7941, _u7947)) | c_Natural_Oevaln(_u7945, _u7947, _u7949, _u7951) )).
% 43.36/43.57 cnf(fact_evaln_Oequations_I5_J-2, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7941, _u7943, _u7945), _u7947, _u7949, _u7951) | c_Natural_Oevaln(_u7943, _u7947, _u7949, _u7951) | ~hBOOL(hAPP(_u7941, _u7947)) )).
% 43.36/43.57 cnf(fact_evaln_Oequations_I5_J-3, axiom, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7941, _u7943, _u7945), _u7947, _u7949, _u7951) | c_Natural_Oevaln(_u7943, _u7947, _u7949, _u7951) | c_Natural_Oevaln(_u7945, _u7947, _u7949, _u7951) )).
% 43.36/43.57 cnf(fact_evaln_Oequations_I5_J-4, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u7942, _u7944, _u7946), _u7948, _u7950, _u7952) | ~hBOOL(hAPP(_u7942, _u7948)) | ~c_Natural_Oevaln(_u7944, _u7948, _u7950, _u7952) )).
% 43.36/43.57 cnf(fact_evaln_Oequations_I5_J-5, axiom, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u7942, _u7944, _u7946), _u7948, _u7950, _u7952) | hBOOL(hAPP(_u7942, _u7948)) | ~c_Natural_Oevaln(_u7946, _u7948, _u7950, _u7952) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evalc_Oequations_I5_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evalc_Oequations_I5_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7958, _u7960, _u7962)), _u7964), _u7966)) | hBOOL(hAPP(_u7958, _u7964)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7962), _u7964), _u7966)) )).
% 43.36/43.57 cnf(fact_evalc_Oequations_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7958, _u7960, _u7962)), _u7964), _u7966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7960), _u7964), _u7966)) | ~hBOOL(hAPP(_u7958, _u7964)) )).
% 43.36/43.57 cnf(fact_evalc_Oequations_I5_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7958, _u7960, _u7962)), _u7964), _u7966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7960), _u7964), _u7966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7962), _u7964), _u7966)) )).
% 43.36/43.57 cnf(fact_evalc_Oequations_I5_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7959, _u7961, _u7963)), _u7965), _u7967)) | ~hBOOL(hAPP(_u7959, _u7965)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7961), _u7965), _u7967)) )).
% 43.36/43.57 cnf(fact_evalc_Oequations_I5_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7959, _u7961, _u7963)), _u7965), _u7967)) | hBOOL(hAPP(_u7959, _u7965)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7963), _u7965), _u7967)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_evalc_Oequations_I6_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_evalc_Oequations_I6_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7973, _u7975, _u7977)), _u7979), _u7981)) | hBOOL(hAPP(_u7973, _u7979)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7977), _u7979), _u7981)) )).
% 43.36/43.57 cnf(fact_evalc_Oequations_I6_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7973, _u7975, _u7977)), _u7979), _u7981)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7975), _u7979), _u7981)) | ~hBOOL(hAPP(_u7973, _u7979)) )).
% 43.36/43.57 cnf(fact_evalc_Oequations_I6_J-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7973, _u7975, _u7977)), _u7979), _u7981)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7975), _u7979), _u7981)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7977), _u7979), _u7981)) )).
% 43.36/43.57 cnf(fact_evalc_Oequations_I6_J-4, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7974, _u7976, _u7978)), _u7980), _u7982)) | ~hBOOL(hAPP(_u7974, _u7980)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7976), _u7980), _u7982)) )).
% 43.36/43.57 cnf(fact_evalc_Oequations_I6_J-5, axiom, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7974, _u7976, _u7978)), _u7980), _u7982)) | hBOOL(hAPP(_u7974, _u7980)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7978), _u7980), _u7982)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osimps_I54_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osimps_I54_J-1, axiom, ( ( c_Com_Ocom_OCond(_u7983, _u7984, _u7985) != hAPP(c_Com_Ocom_OBODY, _u7986)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osimps_I55_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osimps_I55_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u7987) != c_Com_Ocom_OCond(_u7988, _u7989, _u7990)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osimps_I52_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osimps_I52_J-1, axiom, ( ( c_Com_Ocom_OCond(_u7991, _u7992, _u7993) != c_Com_Ocom_OWhile(_u7994, _u7995)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osimps_I53_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osimps_I53_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u7996, _u7997) != c_Com_Ocom_OCond(_u7998, _u7999, _u8000)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_transfer__nat__int__sum__prod_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_transfer__nat__int__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8001) | ~class_Groups_Ocomm__monoid__mult(_u8001) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8001), _u8002), _u8003) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8001), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8001, tc_Int_Oint), _u8002), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8003))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osimps_I45_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osimps_I45_J-1, axiom, ( ( c_Com_Ocom_OCond(_u8004, _u8005, _u8006) != c_Com_Ocom_OSemi(_u8007, _u8008)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osimps_I44_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osimps_I44_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u8009, _u8010) != c_Com_Ocom_OCond(_u8011, _u8012, _u8013)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osimps_I15_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osimps_I15_J-1, axiom, ( ( c_Com_Ocom_OCond(_u8014, _u8015, _u8016) != c_Com_Ocom_OSKIP) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_com_Osimps_I14_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_com_Osimps_I14_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u8017, _u8018, _u8019)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__zero-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8022), _u8023)) | ~hBOOL(hAPP(hAPP(c_member(_u8022), _u8020), _u8023)) | ( hAPP(_u8024, _u8020) != c_Groups_Ozero__class_Ozero(_u8021)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8022, _u8021), _u8024), _u8023) = c_Groups_Ozero__class_Ozero(_u8021)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__zero__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__zero__iff-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8027) | ~class_Rings_Ono__zero__divisors(_u8027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8028), _u8029)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8028, _u8027), _u8030), _u8029) != c_Groups_Ozero__class_Ozero(_u8027)) | hBOOL(hAPP(hAPP(c_member(_u8028), skolem218(_u8030, _u8029, _u8028, _u8027)), _u8029)) )).
% 43.36/43.57 cnf(fact_setprod__zero__iff-2, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8027) | ~class_Rings_Ono__zero__divisors(_u8027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8028), _u8029)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8028, _u8027), _u8030), _u8029) != c_Groups_Ozero__class_Ozero(_u8027)) | ( hAPP(_u8030, skolem218(_u8030, _u8029, _u8028, _u8027)) = c_Groups_Ozero__class_Ozero(_u8027)) )).
% 43.36/43.57 cnf(fact_setprod__zero__iff-3, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8027) | ~class_Rings_Ono__zero__divisors(_u8027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8028), _u8029)) | ~hBOOL(hAPP(hAPP(c_member(_u8028), _u8026), _u8029)) | ( hAPP(_u8030, _u8026) != c_Groups_Ozero__class_Ozero(_u8027)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8028, _u8027), _u8030), _u8029) = c_Groups_Ozero__class_Ozero(_u8027)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__empty ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__empty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8031) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8032, _u8031), _u8033), c_Orderings_Obot__class_Obot(tc_fun(_u8032, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u8031)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Oempty ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Oempty-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8034) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8035, _u8034), _u8036), c_Orderings_Obot__class_Obot(tc_fun(_u8035, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u8034)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Oinfinite ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Oinfinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8037) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8038), _u8039)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8038, _u8037), _u8040), _u8039) = c_Groups_Oone__class_Oone(_u8037)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__infinite ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__infinite-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8041) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8042), _u8043)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8042, _u8041), _u8044), _u8043) = c_Groups_Oone__class_Oone(_u8041)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__eq__1__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__eq__1__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8047), _u8048)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8047, tc_Nat_Onat), _u8049), _u8048) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8047), _u8045), _u8048)) | ( hAPP(_u8049, _u8045) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_setprod__eq__1__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8047), _u8048)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8047, tc_Nat_Onat), _u8049), _u8048) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8047), skolem219(_u8049, _u8048, _u8047)), _u8048)) )).
% 43.36/43.57 cnf(fact_setprod__eq__1__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8047), _u8048)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8047, tc_Nat_Onat), _u8049), _u8048) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u8049, skolem219(_u8049, _u8048, _u8047)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__0__le__iff__le ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__0__le__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), c_Groups_Ozero__class_Ozero(_u8050)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8050), _u8051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), _u8051), c_Groups_Ozero__class_Ozero(_u8050))) )).
% 43.36/43.57 cnf(fact_neg__0__le__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), _u8051), c_Groups_Ozero__class_Ozero(_u8050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), c_Groups_Ozero__class_Ozero(_u8050)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8050), _u8051))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_le__minus__self__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_le__minus__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8052), _u8053), hAPP(c_Groups_Ouminus__class_Ouminus(_u8052), _u8053))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8052), _u8053), c_Groups_Ozero__class_Ozero(_u8052))) )).
% 43.36/43.57 cnf(fact_le__minus__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8052), _u8053), c_Groups_Ozero__class_Ozero(_u8052))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8052), _u8053), hAPP(c_Groups_Ouminus__class_Ouminus(_u8052), _u8053))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__le__0__iff__le ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__le__0__iff__le-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8054), hAPP(c_Groups_Ouminus__class_Ouminus(_u8054), _u8055)), c_Groups_Ozero__class_Ozero(_u8054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8054), c_Groups_Ozero__class_Ozero(_u8054)), _u8055)) )).
% 43.36/43.57 cnf(fact_neg__le__0__iff__le-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8054), c_Groups_Ozero__class_Ozero(_u8054)), _u8055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8054), hAPP(c_Groups_Ouminus__class_Ouminus(_u8054), _u8055)), c_Groups_Ozero__class_Ozero(_u8054))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__le__self__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__le__self__iff-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8056), hAPP(c_Groups_Ouminus__class_Ouminus(_u8056), _u8057)), _u8057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8056), c_Groups_Ozero__class_Ozero(_u8056)), _u8057)) )).
% 43.36/43.57 cnf(fact_minus__le__self__iff-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8056), c_Groups_Ozero__class_Ozero(_u8056)), _u8057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8056), hAPP(c_Groups_Ouminus__class_Ouminus(_u8056), _u8057)), _u8057)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__0__less__iff__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__0__less__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8058) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8058), c_Groups_Ozero__class_Ozero(_u8058)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8058), _u8059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8058), _u8059), c_Groups_Ozero__class_Ozero(_u8058))) )).
% 43.36/43.57 cnf(fact_neg__0__less__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8058) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8058), _u8059), c_Groups_Ozero__class_Ozero(_u8058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8058), c_Groups_Ozero__class_Ozero(_u8058)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8058), _u8059))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__less__0__iff__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__less__0__iff__less-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8060), hAPP(c_Groups_Ouminus__class_Ouminus(_u8060), _u8061)), c_Groups_Ozero__class_Ozero(_u8060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8060), c_Groups_Ozero__class_Ozero(_u8060)), _u8061)) )).
% 43.36/43.57 cnf(fact_neg__less__0__iff__less-2, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8060), c_Groups_Ozero__class_Ozero(_u8060)), _u8061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8060), hAPP(c_Groups_Ouminus__class_Ouminus(_u8060), _u8061)), c_Groups_Ozero__class_Ozero(_u8060))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__less__nonneg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__less__nonneg-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8062) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8062), hAPP(c_Groups_Ouminus__class_Ouminus(_u8062), _u8063)), _u8063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8062), c_Groups_Ozero__class_Ozero(_u8062)), _u8063)) )).
% 43.36/43.57 cnf(fact_neg__less__nonneg-2, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8062) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8062), c_Groups_Ozero__class_Ozero(_u8062)), _u8063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8062), hAPP(c_Groups_Ouminus__class_Ouminus(_u8062), _u8063)), _u8063)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_less__minus__self__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_less__minus__self__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8064) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8064), _u8065), hAPP(c_Groups_Ouminus__class_Ouminus(_u8064), _u8065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8064), _u8065), c_Groups_Ozero__class_Ozero(_u8064))) )).
% 43.36/43.57 cnf(fact_less__minus__self__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8064) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8064), _u8065), c_Groups_Ozero__class_Ozero(_u8064))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8064), _u8065), hAPP(c_Groups_Ouminus__class_Ouminus(_u8064), _u8065))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_right__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_right__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u8066) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8066), _u8067), hAPP(c_Groups_Ouminus__class_Ouminus(_u8066), _u8067)) = c_Groups_Ozero__class_Ozero(_u8066)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_eq__neg__iff__add__eq__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_eq__neg__iff__add__eq__0-1, axiom, ( ~class_Groups_Ogroup__add(_u8068) | ( _u8069 != hAPP(c_Groups_Ouminus__class_Ouminus(_u8068), _u8070)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8068), _u8069), _u8070) = c_Groups_Ozero__class_Ozero(_u8068)) )).
% 43.36/43.57 cnf(fact_eq__neg__iff__add__eq__0-2, axiom, ( ~class_Groups_Ogroup__add(_u8068) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8068), _u8069), _u8070) != c_Groups_Ozero__class_Ozero(_u8068)) | ( _u8069 = hAPP(c_Groups_Ouminus__class_Ouminus(_u8068), _u8070)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_left__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_left__minus-1, axiom, ( ~class_Groups_Ogroup__add(_u8071) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8071), hAPP(c_Groups_Ouminus__class_Ouminus(_u8071), _u8072)), _u8072) = c_Groups_Ozero__class_Ozero(_u8071)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_ab__left__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_ab__left__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u8073) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8073), hAPP(c_Groups_Ouminus__class_Ouminus(_u8073), _u8074)), _u8074) = c_Groups_Ozero__class_Ozero(_u8073)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__unique ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__unique-1, axiom, ( ~class_Groups_Ogroup__add(_u8075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8075), _u8076), _u8077) != c_Groups_Ozero__class_Ozero(_u8075)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8075), _u8076) = _u8077) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__0-1, axiom, ( ~class_Groups_Ogroup__add(_u8078) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8078), c_Groups_Ozero__class_Ozero(_u8078)), _u8079) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8078), _u8079)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__minus__eq__add ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__minus__eq__add-1, axiom, ( ~class_Groups_Ogroup__add(_u8080) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8080), _u8081), hAPP(c_Groups_Ouminus__class_Ouminus(_u8080), _u8082)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8080), _u8081), _u8082)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_ab__diff__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_ab__diff__minus-1, axiom, ( ~class_Groups_Oab__group__add(_u8083) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8083), _u8084), _u8085) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8083), _u8084), hAPP(c_Groups_Ouminus__class_Ouminus(_u8083), _u8085))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__def ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__def-1, axiom, ( ~class_Groups_Ogroup__add(_u8086) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8086), _u8087), _u8088) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8086), _u8087), hAPP(c_Groups_Ouminus__class_Ouminus(_u8086), _u8088))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u8089) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8089), _u8090), _u8091) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8089), _u8090), hAPP(c_Groups_Ouminus__class_Ouminus(_u8089), _u8091))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J-1, axiom, ( ~class_Rings_Ocomm__ring__1(_u8092) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8092), _u8093) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8092), hAPP(c_Groups_Ouminus__class_Ouminus(_u8092), c_Groups_Oone__class_Oone(_u8092))), _u8093)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_square__eq__1__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_square__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u8094) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), _u8095), _u8095) != c_Groups_Oone__class_Oone(_u8094)) | ( _u8095 = c_Groups_Oone__class_Oone(_u8094)) | ( _u8095 = hAPP(c_Groups_Ouminus__class_Ouminus(_u8094), c_Groups_Oone__class_Oone(_u8094))) )).
% 43.36/43.57 cnf(fact_square__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u8094) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), _u8095), _u8095) = c_Groups_Oone__class_Oone(_u8094)) | ( _u8095 != c_Groups_Oone__class_Oone(_u8094)) )).
% 43.36/43.57 cnf(fact_square__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u8094) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), _u8095), _u8095) = c_Groups_Oone__class_Oone(_u8094)) | ( _u8095 != hAPP(c_Groups_Ouminus__class_Ouminus(_u8094), c_Groups_Oone__class_Oone(_u8094))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__inf__bot ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__inf__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8096) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8096), hAPP(c_Groups_Ouminus__class_Ouminus(_u8096), _u8097)), _u8097) = c_Orderings_Obot__class_Obot(_u8096)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_inf__compl__bot ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_inf__compl__bot-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8098) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8098), _u8099), hAPP(c_Groups_Ouminus__class_Ouminus(_u8098), _u8099)) = c_Orderings_Obot__class_Obot(_u8098)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8100) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8100), _u8101), _u8102) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8100), _u8101), hAPP(c_Groups_Ouminus__class_Ouminus(_u8100), _u8102))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__top__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__top__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8103) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8103), c_Orderings_Otop__class_Otop(_u8103)) = c_Orderings_Obot__class_Obot(_u8103)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__bot__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__bot__eq-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8104) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8104), c_Orderings_Obot__class_Obot(_u8104)) = c_Orderings_Otop__class_Otop(_u8104)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__sup ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__sup-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8105) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8105), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8105), _u8106), _u8107)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8105), hAPP(c_Groups_Ouminus__class_Ouminus(_u8105), _u8106)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8105), _u8107))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__inf ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__inf-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8108) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8108), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8108), _u8109), _u8110)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8108), hAPP(c_Groups_Ouminus__class_Ouminus(_u8108), _u8109)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8108), _u8110))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__sup__top ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__sup__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8111) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8111), hAPP(c_Groups_Ouminus__class_Ouminus(_u8111), _u8112)), _u8112) = c_Orderings_Otop__class_Otop(_u8111)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sup__compl__top ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sup__compl__top-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8113) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8113), _u8114), hAPP(c_Groups_Ouminus__class_Ouminus(_u8113), _u8114)) = c_Orderings_Otop__class_Otop(_u8113)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__ge__minus__self ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__ge__minus__self-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8115) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8115), hAPP(c_Groups_Ouminus__class_Ouminus(_u8115), _u8116)), hAPP(c_Groups_Oabs__class_Oabs(_u8115), _u8116))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__le__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__le__iff-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8118)), _u8119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), _u8118), _u8119)) )).
% 43.36/43.57 cnf(fact_abs__le__iff-2, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8118)), _u8119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Ouminus__class_Ouminus(_u8117), _u8118)), _u8119)) )).
% 43.36/43.57 cnf(fact_abs__le__iff-3, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), _u8118), _u8119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Ouminus__class_Ouminus(_u8117), _u8118)), _u8119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8118)), _u8119)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__leI ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__leI-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8120) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8120), _u8121), _u8122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8120), hAPP(c_Groups_Ouminus__class_Ouminus(_u8120), _u8121)), _u8122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8120), hAPP(c_Groups_Oabs__class_Oabs(_u8120), _u8121)), _u8122)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__le__D2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__le__D2-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8123), hAPP(c_Groups_Oabs__class_Oabs(_u8123), _u8124)), _u8125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8123), hAPP(c_Groups_Ouminus__class_Ouminus(_u8123), _u8124)), _u8125)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__less__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Oabs__class_Oabs(_u8126), _u8127)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), _u8127), _u8128)) )).
% 43.36/43.57 cnf(fact_abs__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Oabs__class_Oabs(_u8126), _u8127)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Ouminus__class_Ouminus(_u8126), _u8127)), _u8128)) )).
% 43.36/43.57 cnf(fact_abs__less__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), _u8127), _u8128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Ouminus__class_Ouminus(_u8126), _u8127)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Oabs__class_Oabs(_u8126), _u8127)), _u8128)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_subset__Compl__self__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_subset__Compl__self__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8131, tc_HOL_Obool)), _u8133), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8131, tc_HOL_Obool)), _u8133))) | ( _u8133 = c_Orderings_Obot__class_Obot(tc_fun(_u8131, tc_HOL_Obool))) )).
% 43.36/43.57 cnf(fact_subset__Compl__self__eq-2, axiom, ( ( _u8134 != c_Orderings_Obot__class_Obot(tc_fun(_u8132, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8132, tc_HOL_Obool)), _u8134), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8132, tc_HOL_Obool)), _u8134))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__UNIV__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__UNIV__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8135, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8135, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8135, tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__empty__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__empty__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8136, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8136, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u8136, tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_finite__compl ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_finite__compl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), _u8138)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8137, tc_HOL_Obool)), _u8138))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), c_Orderings_Otop__class_Otop(tc_fun(_u8137, tc_HOL_Obool)))) )).
% 43.36/43.57 cnf(fact_finite__compl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), _u8138)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), c_Orderings_Otop__class_Otop(tc_fun(_u8137, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8137, tc_HOL_Obool)), _u8138))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__disjoint ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8139, tc_HOL_Obool)), _u8140), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8139, tc_HOL_Obool)), _u8140)) = c_Orderings_Obot__class_Obot(tc_fun(_u8139, tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__disjoint2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__disjoint2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8141, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8141, tc_HOL_Obool)), _u8142)), _u8142) = c_Orderings_Obot__class_Obot(tc_fun(_u8141, tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_transfer__int__nat__sum__prod_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_transfer__int__nat__sum__prod_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u8143) | ~class_Groups_Ocomm__monoid__mult(_u8143) | ~c_Nat__Transfer_Onat__set(_u8144) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8143), _u8145), _u8144) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8143), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8143, tc_Nat_Onat), _u8145), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8144))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__partition2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__partition2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8146, tc_HOL_Obool)), _u8147)), _u8147) = c_Orderings_Otop__class_Otop(tc_fun(_u8146, tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__partition ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__partition-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8148, tc_HOL_Obool)), _u8149), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8148, tc_HOL_Obool)), _u8149)) = c_Orderings_Otop__class_Otop(tc_fun(_u8148, tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__Un ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__Un-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8150, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8150, tc_HOL_Obool)), _u8151), _u8152)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8150, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8150, tc_HOL_Obool)), _u8151)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8150, tc_HOL_Obool)), _u8152))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__Int ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__Int-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8153, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8153, tc_HOL_Obool)), _u8154), _u8155)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8153, tc_HOL_Obool)), _u8154)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8153, tc_HOL_Obool)), _u8155))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__min__eq__max ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__min__eq__max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8156) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8156), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8156), _u8157), _u8158)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8156), hAPP(c_Groups_Ouminus__class_Ouminus(_u8156), _u8157)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8156), _u8158))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__max__eq__min ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__max__eq__min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8159) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8159), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8159), _u8160), _u8161)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8159), hAPP(c_Groups_Ouminus__class_Ouminus(_u8159), _u8160)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8159), _u8161))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_image__uminus__atLeastAtMost ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_image__uminus__atLeastAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8162) | ( hAPP(c_Set_Oimage(_u8162, _u8162, c_Groups_Ouminus__class_Ouminus(_u8162)), c_SetInterval_Oord__class_OatLeastAtMost(_u8162, _u8163, _u8164)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8162, hAPP(c_Groups_Ouminus__class_Ouminus(_u8162), _u8164), hAPP(c_Groups_Ouminus__class_Ouminus(_u8162), _u8163))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__eq__Diff__UNIV ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__eq__Diff__UNIV-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8165, tc_HOL_Obool)), _u8166) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8165, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8165, tc_HOL_Obool))), _u8166)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__Diff__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__Diff__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8167, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8167, tc_HOL_Obool)), _u8168), _u8169)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8167, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8167, tc_HOL_Obool)), _u8168)), _u8169)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Diff__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Diff__eq-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8170, tc_HOL_Obool)), _u8171), _u8172) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8170, tc_HOL_Obool)), _u8171), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8170, tc_HOL_Obool)), _u8172))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Diff__Compl ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Diff__Compl-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8173, tc_HOL_Obool)), _u8174), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8173, tc_HOL_Obool)), _u8175)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8173, tc_HOL_Obool)), _u8174), _u8175)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Odistrib ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Odistrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8177), _u8178)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8177, _u8176), hAPP(hAPP(c_COMBS(_u8177, _u8176, _u8176), hAPP(hAPP(c_COMBB(_u8176, tc_fun(_u8176, _u8176), _u8177), c_Groups_Otimes__class_Otimes(_u8176)), _u8179)), _u8180)), _u8178) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8176), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8177, _u8176), _u8179), _u8178)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8177, _u8176), _u8180), _u8178))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Ints__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Ints__minus-1, axiom, ( ~class_Rings_Oring__1(_u8181) | ~hBOOL(hAPP(hAPP(c_member(_u8181), _u8182), c_Int_Oring__1__class_OInts(_u8181))) | hBOOL(hAPP(hAPP(c_member(_u8181), hAPP(c_Groups_Ouminus__class_Ouminus(_u8181), _u8182)), c_Int_Oring__1__class_OInts(_u8181))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_image__uminus__greaterThanLessThan ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_image__uminus__greaterThanLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8183) | ( hAPP(c_Set_Oimage(_u8183, _u8183, c_Groups_Ouminus__class_Ouminus(_u8183)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8183, _u8184, _u8185)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8183, hAPP(c_Groups_Ouminus__class_Ouminus(_u8183), _u8185), hAPP(c_Groups_Ouminus__class_Ouminus(_u8183), _u8184))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__eq-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8186, tc_HOL_Obool)), _u8187) = hAPP(c_Set_OCollect(_u8186), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8186), c_fNot), hAPP(hAPP(c_COMBC(_u8186, tc_fun(_u8186, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8186)), _u8187)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__lessThan ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__lessThan-1, axiom, ( ~class_Orderings_Olinorder(_u8188) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8188, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8188), _u8189)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8188), _u8189)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__atLeast ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__atLeast-1, axiom, ( ~class_Orderings_Olinorder(_u8190) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8190, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8190), _u8191)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8190), _u8191)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Collect__imp__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Collect__imp__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u8192), hAPP(hAPP(c_COMBS(_u8192, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8192), c_fimplies), _u8193)), _u8194)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8192, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8192, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8192), _u8193))), hAPP(c_Set_OCollect(_u8192), _u8194))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__atMost ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__atMost-1, axiom, ( ~class_Orderings_Olinorder(_u8195) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8195, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8195), _u8196)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8195), _u8196)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Compl__greaterThan ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Compl__greaterThan-1, axiom, ( ~class_Orderings_Olinorder(_u8197) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8197, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8197), _u8198)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8197), _u8198)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__pos__nat__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__pos__nat__iff-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8201), _u8202)) | ~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(_u8201, tc_Nat_Onat), _u8203), _u8202))) | ~hBOOL(hAPP(hAPP(c_member(_u8201), _u8199), _u8202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8203, _u8199))) )).
% 43.36/43.57 cnf(fact_setprod__pos__nat__iff-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8201), _u8202)) | 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(_u8201, tc_Nat_Onat), _u8203), _u8202))) | hBOOL(hAPP(hAPP(c_member(_u8201), skolem220(_u8203, _u8202, _u8201)), _u8202)) )).
% 43.36/43.57 cnf(fact_setprod__pos__nat__iff-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8201), _u8202)) | 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(_u8201, tc_Nat_Onat), _u8203), _u8202))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8203, skolem220(_u8203, _u8202, _u8201)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__minus__le__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__minus__le__zero-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8204) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8204), hAPP(c_Groups_Ouminus__class_Ouminus(_u8204), hAPP(c_Groups_Oabs__class_Oabs(_u8204), _u8205))), c_Groups_Ozero__class_Ozero(_u8204))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__of__nonpos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__of__nonpos-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8206), _u8207), c_Groups_Ozero__class_Ozero(_u8206))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8206), _u8207) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8206), _u8207)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__if-1, axiom, ( ~class_Groups_Oabs__if(_u8208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), _u8209), c_Groups_Ozero__class_Ozero(_u8208))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8208), _u8209) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8208), _u8209)) )).
% 43.36/43.57 cnf(fact_abs__if-2, axiom, ( ~class_Groups_Oabs__if(_u8208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), _u8209), c_Groups_Ozero__class_Ozero(_u8208))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8208), _u8209) = _u8209) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__of__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__of__neg-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u8210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8210), _u8211), c_Groups_Ozero__class_Ozero(_u8210))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8210), _u8211) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8210), _u8211)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__delta ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8212) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8213), _u8214)) | ~hBOOL(hAPP(hAPP(c_member(_u8213), _u8215), _u8214)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8213, _u8212), hAPP(hAPP(c_COMBC(_u8213, _u8212, _u8212), hAPP(hAPP(c_COMBS(_u8213, _u8212, tc_fun(_u8212, _u8212)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8212, tc_fun(_u8212, _u8212)), _u8213), c_If(_u8212)), hAPP(hAPP(c_COMBC(_u8213, _u8213, tc_HOL_Obool), c_fequal), _u8215))), _u8216)), c_Groups_Oone__class_Oone(_u8212))), _u8214) = hAPP(_u8216, _u8215)) )).
% 43.36/43.57 cnf(fact_setprod__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8212) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8213), _u8214)) | hBOOL(hAPP(hAPP(c_member(_u8213), _u8215), _u8214)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8213, _u8212), hAPP(hAPP(c_COMBC(_u8213, _u8212, _u8212), hAPP(hAPP(c_COMBS(_u8213, _u8212, tc_fun(_u8212, _u8212)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8212, tc_fun(_u8212, _u8212)), _u8213), c_If(_u8212)), hAPP(hAPP(c_COMBC(_u8213, _u8213, tc_HOL_Obool), c_fequal), _u8215))), _u8216)), c_Groups_Oone__class_Oone(_u8212))), _u8214) = c_Groups_Oone__class_Oone(_u8212)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__delta_H ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__delta_H-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8217) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8218), _u8219)) | ~hBOOL(hAPP(hAPP(c_member(_u8218), _u8220), _u8219)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8218, _u8217), hAPP(hAPP(c_COMBC(_u8218, _u8217, _u8217), hAPP(hAPP(c_COMBS(_u8218, _u8217, tc_fun(_u8217, _u8217)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8217, tc_fun(_u8217, _u8217)), _u8218), c_If(_u8217)), hAPP(c_fequal, _u8220))), _u8221)), c_Groups_Oone__class_Oone(_u8217))), _u8219) = hAPP(_u8221, _u8220)) )).
% 43.36/43.57 cnf(fact_setprod__delta_H-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8217) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8218), _u8219)) | hBOOL(hAPP(hAPP(c_member(_u8218), _u8220), _u8219)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8218, _u8217), hAPP(hAPP(c_COMBC(_u8218, _u8217, _u8217), hAPP(hAPP(c_COMBS(_u8218, _u8217, tc_fun(_u8217, _u8217)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8217, tc_fun(_u8217, _u8217)), _u8218), c_If(_u8217)), hAPP(c_fequal, _u8220))), _u8221)), c_Groups_Oone__class_Oone(_u8217))), _u8219) = c_Groups_Oone__class_Oone(_u8217)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_disjoint__eq__subset__Compl ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_disjoint__eq__subset__Compl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8225, tc_HOL_Obool)), _u8227), _u8229) != c_Orderings_Obot__class_Obot(tc_fun(_u8225, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8225, tc_HOL_Obool)), _u8227), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8225, tc_HOL_Obool)), _u8229))) )).
% 43.36/43.57 cnf(fact_disjoint__eq__subset__Compl-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8226, tc_HOL_Obool)), _u8228), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8226, tc_HOL_Obool)), _u8230))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8226, tc_HOL_Obool)), _u8228), _u8230) = c_Orderings_Obot__class_Obot(tc_fun(_u8226, tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_surj__Compl__image__subset ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_surj__Compl__image__subset-1, axiom, ( ( hAPP(c_Set_Oimage(_u8231, _u8232, _u8233), c_Orderings_Otop__class_Otop(tc_fun(_u8231, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u8232, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8232, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8232, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8231, _u8232, _u8233), _u8234))), hAPP(c_Set_Oimage(_u8231, _u8232, _u8233), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8231, tc_HOL_Obool)), _u8234)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_image__uminus__greaterThanAtMost ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_image__uminus__greaterThanAtMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8235) | ( hAPP(c_Set_Oimage(_u8235, _u8235, c_Groups_Ouminus__class_Ouminus(_u8235)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8235, _u8236, _u8237)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8235, hAPP(c_Groups_Ouminus__class_Ouminus(_u8235), _u8237)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8235), _u8236))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_image__uminus__atLeastLessThan ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_image__uminus__atLeastLessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8238) | ( hAPP(c_Set_Oimage(_u8238, _u8238, c_Groups_Ouminus__class_Ouminus(_u8238)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8238, _u8239), _u8240)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8238, hAPP(c_Groups_Ouminus__class_Ouminus(_u8238), _u8240), hAPP(c_Groups_Ouminus__class_Ouminus(_u8238), _u8239))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_image__uminus__greaterThan ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_image__uminus__greaterThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8241) | ( hAPP(c_Set_Oimage(_u8241, _u8241, c_Groups_Ouminus__class_Ouminus(_u8241)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8241), _u8242)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8241), hAPP(c_Groups_Ouminus__class_Ouminus(_u8241), _u8242))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_image__uminus__lessThan ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_image__uminus__lessThan-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8243) | ( hAPP(c_Set_Oimage(_u8243, _u8243, c_Groups_Ouminus__class_Ouminus(_u8243)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8243), _u8244)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8243), hAPP(c_Groups_Ouminus__class_Ouminus(_u8243), _u8244))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_image__uminus__atMost ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_image__uminus__atMost-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8245) | ( hAPP(c_Set_Oimage(_u8245, _u8245, c_Groups_Ouminus__class_Ouminus(_u8245)), hAPP(c_SetInterval_Oord__class_OatMost(_u8245), _u8246)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8245), hAPP(c_Groups_Ouminus__class_Ouminus(_u8245), _u8246))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_image__uminus__atLeast ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_image__uminus__atLeast-1, axiom, ( ~class_Groups_Oordered__ab__group__add(_u8247) | ( hAPP(c_Set_Oimage(_u8247, _u8247, c_Groups_Ouminus__class_Ouminus(_u8247)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8247), _u8248)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8247), hAPP(c_Groups_Ouminus__class_Ouminus(_u8247), _u8248))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__insert ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__insert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8249) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8250), _u8251)) | hBOOL(hAPP(hAPP(c_member(_u8250), _u8252), _u8251)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8250, _u8249), _u8253), hAPP(hAPP(c_Set_Oinsert(_u8250), _u8252), _u8251)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8249), hAPP(_u8253, _u8252)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8250, _u8249), _u8253), _u8251))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Oinsert ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Oinsert-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8254) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8255), _u8256)) | hBOOL(hAPP(hAPP(c_member(_u8255), _u8257), _u8256)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8255, _u8254), _u8258), hAPP(hAPP(c_Set_Oinsert(_u8255), _u8257), _u8256)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8254), hAPP(_u8258, _u8257)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8255, _u8254), _u8258), _u8256))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Pow__Compl ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Pow__Compl-1, axiom, ( ( hAPP(c_Set_OPow(_u8259), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8259, tc_HOL_Obool)), _u8260)) = hAPP(c_Set_OCollect(tc_fun(_u8259, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8259, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u8259, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u8259, tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8259, tc_HOL_Obool)), c_COMBS(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u8259, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u8259, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u8259, tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_fun(_u8259, tc_HOL_Obool)), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_fun(_u8259, tc_HOL_Obool)), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8259, tc_HOL_Obool)), c_COMBB(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8259, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u8259, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8259, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u8259, tc_HOL_Obool)), _u8260)), c_Set_OPow(_u8259)))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Ounion__inter ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Ounion__inter-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8261) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8262), _u8263)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8262), _u8264)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8261), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8262, _u8261), _u8265), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8262, tc_HOL_Obool)), _u8263), _u8264))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8262, _u8261), _u8265), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8262, tc_HOL_Obool)), _u8263), _u8264))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8261), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8262, _u8261), _u8265), _u8263)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8262, _u8261), _u8265), _u8264))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__Un__Int ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__Un__Int-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8267), _u8268)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8267), _u8269)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8266), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8267, _u8266), _u8270), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8267, tc_HOL_Obool)), _u8268), _u8269))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8267, _u8266), _u8270), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8267, tc_HOL_Obool)), _u8268), _u8269))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8266), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8267, _u8266), _u8270), _u8268)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8267, _u8266), _u8270), _u8269))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_OF__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_OF__eq-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8272), _u8273)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8272, _u8271), _u8274), _u8273) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8271, _u8272, c_Groups_Otimes__class_Otimes(_u8271)), _u8274), c_Groups_Oone__class_Oone(_u8271)), _u8273)) )).
% 43.36/43.57 cnf(fact_setprod_OF__eq-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8271) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8272), _u8273)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8272, _u8271), _u8274), _u8273) = c_Groups_Oone__class_Oone(_u8271)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Oeq__fold ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Oeq__fold-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8276), _u8277)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8276, _u8275), _u8278), _u8277) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8275, _u8276, c_Groups_Otimes__class_Otimes(_u8275)), _u8278), c_Groups_Oone__class_Oone(_u8275)), _u8277)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_compl__unique ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_compl__unique-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u8279) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8279), _u8280), _u8281) != c_Orderings_Obot__class_Obot(_u8279)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8279), _u8280), _u8281) != c_Orderings_Otop__class_Otop(_u8279)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8279), _u8280) = _u8281) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_inj__image__Compl__subset ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_inj__image__Compl__subset-1, axiom, ( ~c_Fun_Oinj__on(_u8282, _u8283, _u8284, c_Orderings_Otop__class_Otop(tc_fun(_u8282, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8283, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8282, _u8283, _u8284), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8282, tc_HOL_Obool)), _u8285))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8283, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8282, _u8283, _u8284), _u8285)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_vimage__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_vimage__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8292), _u8294), _u8296)) | ~hBOOL(hAPP(hAPP(c_member(_u8292), _u8298), _u8296)) | ( hAPP(c_Set_Ovimage(_u8300, _u8292, hAPP(hAPP(c_COMBC(_u8300, _u8292, _u8292), hAPP(hAPP(c_COMBC(_u8300, _u8292, tc_fun(_u8292, _u8292)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8292, tc_fun(_u8292, _u8292)), _u8300), c_If(_u8292)), hAPP(hAPP(c_COMBC(_u8300, tc_fun(_u8300, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8300)), _u8302))), _u8294)), _u8298)), _u8296) = c_Orderings_Otop__class_Otop(tc_fun(_u8300, tc_HOL_Obool))) )).
% 43.36/43.57 cnf(fact_vimage__if-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u8292), _u8294), _u8296)) | hBOOL(hAPP(hAPP(c_member(_u8292), _u8298), _u8296)) | ( hAPP(c_Set_Ovimage(_u8300, _u8292, hAPP(hAPP(c_COMBC(_u8300, _u8292, _u8292), hAPP(hAPP(c_COMBC(_u8300, _u8292, tc_fun(_u8292, _u8292)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8292, tc_fun(_u8292, _u8292)), _u8300), c_If(_u8292)), hAPP(hAPP(c_COMBC(_u8300, tc_fun(_u8300, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8300)), _u8302))), _u8294)), _u8298)), _u8296) = _u8302) )).
% 43.36/43.57 cnf(fact_vimage__if-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8293), _u8295), _u8297)) | ~hBOOL(hAPP(hAPP(c_member(_u8293), _u8299), _u8297)) | ( hAPP(c_Set_Ovimage(_u8301, _u8293, hAPP(hAPP(c_COMBC(_u8301, _u8293, _u8293), hAPP(hAPP(c_COMBC(_u8301, _u8293, tc_fun(_u8293, _u8293)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8293, tc_fun(_u8293, _u8293)), _u8301), c_If(_u8293)), hAPP(hAPP(c_COMBC(_u8301, tc_fun(_u8301, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8301)), _u8303))), _u8295)), _u8299)), _u8297) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8301, tc_HOL_Obool)), _u8303)) )).
% 43.36/43.57 cnf(fact_vimage__if-4, axiom, ( hBOOL(hAPP(hAPP(c_member(_u8293), _u8295), _u8297)) | hBOOL(hAPP(hAPP(c_member(_u8293), _u8299), _u8297)) | ( hAPP(c_Set_Ovimage(_u8301, _u8293, hAPP(hAPP(c_COMBC(_u8301, _u8293, _u8293), hAPP(hAPP(c_COMBC(_u8301, _u8293, tc_fun(_u8293, _u8293)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8293, tc_fun(_u8293, _u8293)), _u8301), c_If(_u8293)), hAPP(hAPP(c_COMBC(_u8301, tc_fun(_u8301, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8301)), _u8303))), _u8295)), _u8299)), _u8297) = c_Orderings_Obot__class_Obot(tc_fun(_u8301, tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Oinsert__remove ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Oinsert__remove-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8304) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8305), _u8306)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8305, _u8304), _u8307), hAPP(hAPP(c_Set_Oinsert(_u8305), _u8308), _u8306)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8304), hAPP(_u8307, _u8308)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8305, _u8304), _u8307), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8305, tc_HOL_Obool)), _u8306), hAPP(hAPP(c_Set_Oinsert(_u8305), _u8308), c_Orderings_Obot__class_Obot(tc_fun(_u8305, tc_HOL_Obool))))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__Un__disjoint ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__Un__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8310), _u8311)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8310), _u8312)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8310, tc_HOL_Obool)), _u8311), _u8312) != c_Orderings_Obot__class_Obot(tc_fun(_u8310, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8310, _u8309), _u8313), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8310, tc_HOL_Obool)), _u8311), _u8312)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8309), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8310, _u8309), _u8313), _u8311)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8310, _u8309), _u8313), _u8312))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Ounion__disjoint ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Ounion__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8314) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8315), _u8316)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8315), _u8317)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8315, tc_HOL_Obool)), _u8316), _u8317) != c_Orderings_Obot__class_Obot(tc_fun(_u8315, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8315, _u8314), _u8318), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8315, tc_HOL_Obool)), _u8316), _u8317)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8314), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8315, _u8314), _u8318), _u8316)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8315, _u8314), _u8318), _u8317))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__Min__eq__Max ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__Min__eq__Max-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8319) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8319), _u8320)) | ( _u8320 = c_Orderings_Obot__class_Obot(tc_fun(_u8319, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8319), c_Big__Operators_Olinorder__class_OMin(_u8319, _u8320)) = c_Big__Operators_Olinorder__class_OMax(_u8319, hAPP(c_Set_Oimage(_u8319, _u8319, c_Groups_Ouminus__class_Ouminus(_u8319)), _u8320))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__Max__eq__Min ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__Max__eq__Min-1, axiom, ( ~class_Groups_Olinordered__ab__group__add(_u8321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8321), _u8322)) | ( _u8322 = c_Orderings_Obot__class_Obot(tc_fun(_u8321, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8321), c_Big__Operators_Olinorder__class_OMax(_u8321, _u8322)) = c_Big__Operators_Olinorder__class_OMin(_u8321, hAPP(c_Set_Oimage(_u8321, _u8321, c_Groups_Ouminus__class_Ouminus(_u8321)), _u8322))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__Un__one ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__Un__one-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8324) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8325), _u8326)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8325), _u8327)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8325, tc_HOL_Obool)), _u8326), _u8327)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8324), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), _u8326)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), _u8327))) | hBOOL(hAPP(hAPP(c_member(_u8325), skolem221(_u8328, _u8327, _u8326, _u8325, _u8324)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8325, tc_HOL_Obool)), _u8326), _u8327))) )).
% 43.36/43.57 cnf(fact_setprod__Un__one-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8324) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8325), _u8326)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8325), _u8327)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8325, tc_HOL_Obool)), _u8326), _u8327)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8324), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), _u8326)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), _u8327))) | ( hAPP(_u8328, skolem221(_u8328, _u8327, _u8326, _u8325, _u8324)) != c_Groups_Oone__class_Oone(_u8324)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod_Ounion__inter__neutral ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod_Ounion__inter__neutral-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8330) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8332)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8331, tc_HOL_Obool)), _u8332), _u8333)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8330), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), _u8332)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), _u8333))) | hBOOL(hAPP(hAPP(c_member(_u8331), skolem222(_u8334, _u8333, _u8332, _u8331, _u8330)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8331, tc_HOL_Obool)), _u8332), _u8333))) )).
% 43.36/43.57 cnf(fact_setprod_Ounion__inter__neutral-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8330) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8332)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8331, tc_HOL_Obool)), _u8332), _u8333)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8330), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), _u8332)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), _u8333))) | ( hAPP(_u8334, skolem222(_u8334, _u8333, _u8332, _u8331, _u8330)) != c_Groups_Oone__class_Oone(_u8330)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__gen__delta ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__gen__delta-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8336), _u8337)) | ~hBOOL(hAPP(hAPP(c_member(_u8336), _u8338), _u8337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8336, _u8335), hAPP(hAPP(c_COMBC(_u8336, _u8335, _u8335), hAPP(hAPP(c_COMBS(_u8336, _u8335, tc_fun(_u8335, _u8335)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8335, tc_fun(_u8335, _u8335)), _u8336), c_If(_u8335)), hAPP(hAPP(c_COMBC(_u8336, _u8336, tc_HOL_Obool), c_fequal), _u8338))), _u8339)), _u8340)), _u8337) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8335), hAPP(_u8339, _u8338)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8335), _u8340), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8336), _u8337)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 43.36/43.57 cnf(fact_setprod__gen__delta-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8336), _u8337)) | hBOOL(hAPP(hAPP(c_member(_u8336), _u8338), _u8337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8336, _u8335), hAPP(hAPP(c_COMBC(_u8336, _u8335, _u8335), hAPP(hAPP(c_COMBS(_u8336, _u8335, tc_fun(_u8335, _u8335)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8335, tc_fun(_u8335, _u8335)), _u8336), c_If(_u8335)), hAPP(hAPP(c_COMBC(_u8336, _u8336, tc_HOL_Obool), c_fequal), _u8338))), _u8339)), _u8340)), _u8337) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8335), _u8340), hAPP(c_Finite__Set_Ocard(_u8336), _u8337))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__diff1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__diff1-1, axiom, ( ~class_Fields_Ofield(_u8341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8342), _u8343)) | ( hAPP(_u8344, _u8345) = c_Groups_Ozero__class_Ozero(_u8341)) | ~hBOOL(hAPP(hAPP(c_member(_u8342), _u8345), _u8343)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8342, _u8341), _u8344), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8342, tc_HOL_Obool)), _u8343), hAPP(hAPP(c_Set_Oinsert(_u8342), _u8345), c_Orderings_Obot__class_Obot(tc_fun(_u8342, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8341), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8342, _u8341), _u8344), _u8343)), hAPP(_u8344, _u8345))) )).
% 43.36/43.57 cnf(fact_setprod__diff1-2, axiom, ( ~class_Fields_Ofield(_u8341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8342), _u8343)) | ( hAPP(_u8344, _u8345) = c_Groups_Ozero__class_Ozero(_u8341)) | hBOOL(hAPP(hAPP(c_member(_u8342), _u8345), _u8343)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8342, _u8341), _u8344), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8342, tc_HOL_Obool)), _u8343), hAPP(hAPP(c_Set_Oinsert(_u8342), _u8345), c_Orderings_Obot__class_Obot(tc_fun(_u8342, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8342, _u8341), _u8344), _u8343)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__mono__one__right ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__mono__one__right-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8348), _u8349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8348, tc_HOL_Obool)), _u8350), _u8349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8348, _u8347), _u8351), _u8349) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8348, _u8347), _u8351), _u8350)) | hBOOL(hAPP(hAPP(c_member(_u8348), skolem223(_u8351, _u8350, _u8349, _u8348, _u8347)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8348, tc_HOL_Obool)), _u8349), _u8350))) )).
% 43.36/43.57 cnf(fact_setprod__mono__one__right-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8348), _u8349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8348, tc_HOL_Obool)), _u8350), _u8349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8348, _u8347), _u8351), _u8349) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8348, _u8347), _u8351), _u8350)) | ( hAPP(_u8351, skolem223(_u8351, _u8350, _u8349, _u8348, _u8347)) != c_Groups_Oone__class_Oone(_u8347)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_negative__zle ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8352))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8353))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_negative__zless ( axiom ) converted to clauses:
% 43.36/43.57 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, _u8354)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8355))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zminus__zadd__distrib ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8356), _u8357)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8356)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8357))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__divide__left ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__divide__left-1, axiom, ( ~class_Rings_Odivision__ring(_u8358) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8358), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8358), _u8359), _u8360)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8358), hAPP(c_Groups_Ouminus__class_Ouminus(_u8358), _u8359)), _u8360)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zminus__0 ( axiom ) converted to clauses:
% 43.36/43.57 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)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8361) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8361), _u8362), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u8362) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8363) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8363), hAPP(hAPP(c_Power_Opower__class_Opower(_u8363), _u8364), _u8365)), _u8366) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8363), _u8364), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8365), _u8366))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zpower__zpower ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8367), _u8368)), _u8369) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8367), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8368), _u8369))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__divide__distrib ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u8370) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8370), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8370), _u8371), _u8372)), _u8373) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8370), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8370), _u8371), _u8373)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8370), _u8372), _u8373))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8374) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8374), _u8375), _u8376)), _u8377) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8374), hAPP(hAPP(c_Power_Opower__class_Opower(_u8374), _u8375), _u8377)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8374), _u8376), _u8377))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__1-1, axiom, ( ~class_Rings_Odivision__ring(_u8378) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8378), _u8379), c_Groups_Oone__class_Oone(_u8378)) = _u8379) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_int__power ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8380), _u8381)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8380)), _u8381)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zpower__int ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8382)), _u8383) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8382), _u8383))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8384)), _u8385) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8384), _u8385))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_times__divide__eq__right ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_times__divide__eq__right-1, axiom, ( ~class_Rings_Odivision__ring(_u8386) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8386), _u8387), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8386), _u8388), _u8389)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8386), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8386), _u8387), _u8388)), _u8389)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_add__divide__distrib ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_add__divide__distrib-1, axiom, ( ~class_Rings_Odivision__ring(_u8390) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8390), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8390), _u8391), _u8392)), _u8393) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8390), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8390), _u8391), _u8393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8390), _u8392), _u8393))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__zero-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u8394) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8394), _u8395), c_Groups_Ozero__class_Ozero(_u8394)) = c_Groups_Ozero__class_Ozero(_u8394)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__zero__left ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__zero__left-1, axiom, ( ~class_Rings_Odivision__ring(_u8396) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8396), c_Groups_Ozero__class_Ozero(_u8396)), _u8397) = c_Groups_Ozero__class_Ozero(_u8396)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmult__zminus ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8398)), _u8399) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8398), _u8399))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8400) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8400), _u8401)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8402)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u8402)), _u8403) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8402), _u8403))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__power__eq ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8404)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8404), _u8405)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u8404)), _u8405)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setsum__divide__distrib ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setsum__divide__distrib-1, axiom, ( ~class_Fields_Ofield(_u8406) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8406), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8407, _u8406), _u8408), _u8409)), _u8410) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8407, _u8406), hAPP(hAPP(c_COMBC(_u8407, _u8406, _u8406), hAPP(hAPP(c_COMBB(_u8406, tc_fun(_u8406, _u8406), _u8407), c_Rings_Oinverse__class_Odivide(_u8406)), _u8408)), _u8410)), _u8409)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nonzero__eq__divide__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nonzero__eq__divide__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u8411) | ( _u8412 = c_Groups_Ozero__class_Ozero(_u8411)) | ( _u8413 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8411), _u8414), _u8412)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8411), _u8413), _u8412) = _u8414) )).
% 43.36/43.57 cnf(fact_nonzero__eq__divide__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u8411) | ( _u8412 = c_Groups_Ozero__class_Ozero(_u8411)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8411), _u8413), _u8412) != _u8414) | ( _u8413 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8411), _u8414), _u8412)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nonzero__divide__eq__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nonzero__divide__eq__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u8415) | ( _u8416 = c_Groups_Ozero__class_Ozero(_u8415)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8415), _u8417), _u8416) != _u8418) | ( _u8417 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8415), _u8418), _u8416)) )).
% 43.36/43.57 cnf(fact_nonzero__divide__eq__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u8415) | ( _u8416 = c_Groups_Ozero__class_Ozero(_u8415)) | ( _u8417 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8415), _u8418), _u8416)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8415), _u8417), _u8416) = _u8418) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__eq__imp ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__eq__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u8419) | ( _u8420 = c_Groups_Ozero__class_Ozero(_u8419)) | ( _u8421 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8419), _u8422), _u8420)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8419), _u8421), _u8420) = _u8422) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_eq__divide__imp ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_eq__divide__imp-1, axiom, ( ~class_Rings_Odivision__ring(_u8423) | ( _u8424 = c_Groups_Ozero__class_Ozero(_u8423)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8423), _u8425), _u8424) != _u8426) | ( _u8425 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8423), _u8426), _u8424)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_right__inverse__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_right__inverse__eq-1, axiom, ( ~class_Rings_Odivision__ring(_u8427) | ( _u8428 = c_Groups_Ozero__class_Ozero(_u8427)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8427), _u8429), _u8428) != c_Groups_Oone__class_Oone(_u8427)) | ( _u8429 = _u8428) )).
% 43.36/43.57 cnf(fact_right__inverse__eq-2, axiom, ( ~class_Rings_Odivision__ring(_u8427) | ( _u8428 = c_Groups_Ozero__class_Ozero(_u8427)) | ( _u8429 != _u8428) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8427), _u8429), _u8428) = c_Groups_Oone__class_Oone(_u8427)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__self ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__self-1, axiom, ( ~class_Rings_Odivision__ring(_u8430) | ( _u8431 = c_Groups_Ozero__class_Ozero(_u8430)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8430), _u8431), _u8431) = c_Groups_Oone__class_Oone(_u8430)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__self__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__self__if-1, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u8432) | ( _u8433 != c_Groups_Ozero__class_Ozero(_u8432)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8432), _u8433), _u8433) = c_Groups_Ozero__class_Ozero(_u8432)) )).
% 43.36/43.57 cnf(fact_divide__self__if-2, axiom, ( ~class_Rings_Odivision__ring__inverse__zero(_u8432) | ( _u8433 = c_Groups_Ozero__class_Ozero(_u8432)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8432), _u8433), _u8433) = c_Groups_Oone__class_Oone(_u8432)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nonzero__minus__divide__divide ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nonzero__minus__divide__divide-1, axiom, ( ~class_Rings_Odivision__ring(_u8434) | ( _u8435 = c_Groups_Ozero__class_Ozero(_u8434)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8434), hAPP(c_Groups_Ouminus__class_Ouminus(_u8434), _u8436)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8434), _u8435)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8434), _u8436), _u8435)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nonzero__minus__divide__right ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nonzero__minus__divide__right-1, axiom, ( ~class_Rings_Odivision__ring(_u8437) | ( _u8438 = c_Groups_Ozero__class_Ozero(_u8437)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8437), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8437), _u8439), _u8438)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8437), _u8439), hAPP(c_Groups_Ouminus__class_Ouminus(_u8437), _u8438))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8440) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8440), hAPP(hAPP(c_Power_Opower__class_Opower(_u8440), _u8441), _u8442)), _u8441) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8440), _u8441), hAPP(c_Nat_OSuc, _u8442))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8443) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8443), _u8444), hAPP(hAPP(c_Power_Opower__class_Opower(_u8443), _u8444), _u8445)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8443), _u8444), hAPP(c_Nat_OSuc, _u8445))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8446) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8446), _u8447), hAPP(c_Nat_OSuc, _u8448)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8446), _u8447), hAPP(hAPP(c_Power_Opower__class_Opower(_u8446), _u8447), _u8448))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8449) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8449), _u8450), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8449)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u8451) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8451), hAPP(hAPP(c_Power_Opower__class_Opower(_u8451), _u8452), _u8453)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8451), _u8452), _u8454)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8451), _u8452), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8453), _u8454))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8455)) | 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), _u8455), _u8456))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zpower__zadd__distrib ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zpower__zadd__distrib-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8457), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8458), _u8459)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8457), _u8458)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8457), _u8459))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zadd__zminus__inverse2 ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8460)), _u8460) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_negative__eq__positive ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8463)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8465)) | ( _u8463 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 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), _u8463)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8465)) | ( _u8465 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_negative__eq__positive-3, axiom, ( ( _u8464 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8466 != 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), _u8464)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8466)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_not__int__zless__negative ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8467)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8468)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__int__def ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__int__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8469), _u8470) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8469), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8470))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__int__def__symmetric ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__int__def__symmetric-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8471), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8472)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8471), _u8472)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Ints__power ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Ints__power-1, axiom, ( ~class_Rings_Oring__1(_u8473) | ~hBOOL(hAPP(hAPP(c_member(_u8473), _u8474), c_Int_Oring__1__class_OInts(_u8473))) | hBOOL(hAPP(hAPP(c_member(_u8473), hAPP(hAPP(c_Power_Opower__class_Opower(_u8473), _u8474), _u8475)), c_Int_Oring__1__class_OInts(_u8473))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__dividef ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__dividef-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8477), _u8478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8477, _u8476), hAPP(hAPP(c_COMBS(_u8477, _u8476, _u8476), hAPP(hAPP(c_COMBB(_u8476, tc_fun(_u8476, _u8476), _u8477), c_Rings_Oinverse__class_Odivide(_u8476)), _u8479)), _u8480)), _u8478) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8476), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8477, _u8476), _u8479), _u8478)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8477, _u8476), _u8480), _u8478))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_geometric__sum ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_geometric__sum-1, axiom, ( ~class_Fields_Ofield(_u8481) | ( _u8482 = c_Groups_Oone__class_Oone(_u8481)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8481), hAPP(c_Power_Opower__class_Opower(_u8481), _u8482)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8483)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8481), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8481), hAPP(hAPP(c_Power_Opower__class_Opower(_u8481), _u8482), _u8483)), c_Groups_Oone__class_Oone(_u8481))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8481), _u8482), c_Groups_Oone__class_Oone(_u8481)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_int__zle__neg ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8486)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8488)))) | ( _u8486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 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), _u8486)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8488)))) | ( _u8488 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_int__zle__neg-3, axiom, ( ( _u8487 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8489 != 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), _u8487)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8489)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_negative__zle__0 ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8490))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__zminus__int ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8491))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zero__le__zpower__abs ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8492)), _u8493))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zabs__def ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zabs__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8495), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8495) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8495)) )).
% 43.36/43.57 cnf(fact_zabs__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8496), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8496) = _u8496) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__zminus__int ( axiom ) converted to clauses:
% 43.36/43.57 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, _u8497))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__constant ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__constant-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8498) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8499), _u8500)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8499, _u8498), hAPP(c_COMBK(_u8498, _u8499), _u8501)), _u8500) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8498), _u8501), hAPP(c_Finite__Set_Ocard(_u8499), _u8500))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_not__zle__0__negative ( axiom ) converted to clauses:
% 43.36/43.57 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, _u8502))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_negative__zless__0 ( axiom ) converted to clauses:
% 43.36/43.57 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, _u8503)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__eq__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__eq__if-1, axiom, ( ( _u8506 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8508), _u8506) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_power__eq__if-2, axiom, ( ( _u8507 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8509), _u8507) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8509), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8509), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8507), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zero__less__zpower__abs__iff ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8512)), _u8514))) | ( _u8512 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8514 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 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), _u8513)), _u8515))) | ( _u8513 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57 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), _u8513)), _u8515))) | ( _u8515 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_card__Pow ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_card__Pow-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8516), _u8517)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u8516, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8516), _u8517)) = 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(_u8516), _u8517))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__mult__distrib__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nat__mult__distrib__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8518), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8518), _u8519)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8518))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8519)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__strict__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__strict__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8520), _u8521), _u8522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), c_Groups_Ozero__class_Ozero(_u8520)), _u8521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8520), hAPP(hAPP(c_Power_Opower__class_Opower(_u8520), _u8521), _u8523)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8520), _u8522), _u8523))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__diff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__diff-1, axiom, ( ~class_Fields_Ofield(_u8524) | ( _u8525 = c_Groups_Ozero__class_Ozero(_u8524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8526), _u8527)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8524), _u8525), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8527), _u8526)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8524), hAPP(hAPP(c_Power_Opower__class_Opower(_u8524), _u8525), _u8527)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8524), _u8525), _u8526))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_one__less__power ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_one__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8528), c_Groups_Oone__class_Oone(_u8528)), _u8529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8528), c_Groups_Oone__class_Oone(_u8528)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8528), _u8529), _u8530))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__increasing__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8531), c_Groups_Oone__class_Oone(_u8531)), _u8532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8531), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), _u8532), _u8533)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), _u8532), _u8534))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8533), _u8534)) )).
% 43.36/43.57 cnf(fact_power__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8531), c_Groups_Oone__class_Oone(_u8531)), _u8532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8533), _u8534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8531), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), _u8532), _u8533)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), _u8532), _u8534))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__le__imp__le__exp ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__le__imp__le__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8535), c_Groups_Oone__class_Oone(_u8535)), _u8536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8535), hAPP(hAPP(c_Power_Opower__class_Opower(_u8535), _u8536), _u8537)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8535), _u8536), _u8538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8537), _u8538)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zminus__zminus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zminus__zminus-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8539)) = _u8539) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_field__power__not__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_field__power__not__zero-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u8540) | ( _u8541 = c_Groups_Ozero__class_Ozero(_u8540)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8540), _u8541), _u8542) != c_Groups_Ozero__class_Ozero(_u8540)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__power__eq__Suc__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nat__power__eq__Suc__0__iff-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8545), _u8547) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8547 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8545 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.57 cnf(fact_nat__power__eq__Suc__0__iff-2, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8546), _u8548) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8548 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_nat__power__eq__Suc__0__iff-3, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8546), _u8548) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8546 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__Suc__0 ( axiom ) converted to clauses:
% 43.36/43.57 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))), _u8549) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__power__less__imp__less ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8550), _u8551)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8550), _u8552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8551), _u8552)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__zero__less__power__iff ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8555), _u8557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8555)) | ( _u8557 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 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), _u8556), _u8558))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8556)) )).
% 43.36/43.57 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), _u8556), _u8558))) | ( _u8558 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__mult__distrib ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__mult__distrib-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u8559) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8559), _u8560), _u8561)), _u8562) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8559), hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), _u8560), _u8562)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), _u8561), _u8562))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__commutes ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__commutes-1, axiom, ( ~class_Groups_Omonoid__mult(_u8563) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8563), hAPP(hAPP(c_Power_Opower__class_Opower(_u8563), _u8564), _u8565)), _u8564) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8563), _u8564), hAPP(hAPP(c_Power_Opower__class_Opower(_u8563), _u8564), _u8565))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__one ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__one-1, axiom, ( ~class_Groups_Omonoid__mult(_u8566) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8566), c_Groups_Oone__class_Oone(_u8566)), _u8567) = c_Groups_Oone__class_Oone(_u8566)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__nat__power ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__nat__power-1, axiom, ( ~class_Rings_Osemiring__1(_u8568) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8568), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8569), _u8570)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8568), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8568), _u8569)), _u8570)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__mult ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__mult-1, axiom, ( ~class_Groups_Omonoid__mult(_u8571) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8571), _u8572), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8573), _u8574)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8571), hAPP(hAPP(c_Power_Opower__class_Opower(_u8571), _u8572), _u8573)), _u8574)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__divide ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8575) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8575), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8575), _u8576), _u8577)), _u8578) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8575), hAPP(hAPP(c_Power_Opower__class_Opower(_u8575), _u8576), _u8578)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8575), _u8577), _u8578))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__abs ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u8579) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8579), hAPP(hAPP(c_Power_Opower__class_Opower(_u8579), _u8580), _u8581)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8579), hAPP(c_Groups_Oabs__class_Oabs(_u8579), _u8580)), _u8581)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__one__right ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__one__right-1, axiom, ( ~class_Groups_Omonoid__mult(_u8582) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8582), _u8583), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u8583) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zero__le__power ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zero__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8584), c_Groups_Ozero__class_Ozero(_u8584)), _u8585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8584), c_Groups_Ozero__class_Ozero(_u8584)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8584), _u8585), _u8586))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__mono-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8587), _u8588), _u8589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8587), c_Groups_Ozero__class_Ozero(_u8587)), _u8588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8587), hAPP(hAPP(c_Power_Opower__class_Opower(_u8587), _u8588), _u8590)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8587), _u8589), _u8590))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zero__less__power ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zero__less__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8591), c_Groups_Ozero__class_Ozero(_u8591)), _u8592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8591), c_Groups_Ozero__class_Ozero(_u8591)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8591), _u8592), _u8593))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__eq__0__iff-1, axiom, ( ~class_Power_Opower(_u8594) | ~class_Rings_Omult__zero(_u8594) | ~class_Rings_Ono__zero__divisors(_u8594) | ~class_Rings_Ozero__neq__one(_u8594) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8594), _u8595), _u8596) != c_Groups_Ozero__class_Ozero(_u8594)) | ( _u8595 = c_Groups_Ozero__class_Ozero(_u8594)) )).
% 43.36/43.57 cnf(fact_power__eq__0__iff-2, axiom, ( ~class_Power_Opower(_u8594) | ~class_Rings_Omult__zero(_u8594) | ~class_Rings_Ono__zero__divisors(_u8594) | ~class_Rings_Ozero__neq__one(_u8594) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8594), _u8595), _u8596) != c_Groups_Ozero__class_Ozero(_u8594)) | ( _u8596 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_power__eq__0__iff-3, axiom, ( ~class_Power_Opower(_u8594) | ~class_Rings_Omult__zero(_u8594) | ~class_Rings_Ono__zero__divisors(_u8594) | ~class_Rings_Ozero__neq__one(_u8594) | ( _u8595 != c_Groups_Ozero__class_Ozero(_u8594)) | ( _u8596 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8594), _u8595), _u8596) = c_Groups_Ozero__class_Ozero(_u8594)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_one__le__power ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_one__le__power-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), c_Groups_Oone__class_Oone(_u8597)), _u8598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), c_Groups_Oone__class_Oone(_u8597)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8597), _u8598), _u8599))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__0__Suc ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__0__Suc-1, axiom, ( ~class_Power_Opower(_u8600) | ~class_Rings_Osemiring__0(_u8600) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8600), c_Groups_Ozero__class_Ozero(_u8600)), hAPP(c_Nat_OSuc, _u8601)) = c_Groups_Ozero__class_Ozero(_u8600)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__inject__exp ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__inject__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8602), c_Groups_Oone__class_Oone(_u8602)), _u8603)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8602), _u8603), _u8604) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8602), _u8603), _u8605)) | ( _u8604 = _u8605) )).
% 43.36/43.57 cnf(fact_power__inject__exp-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8602), c_Groups_Oone__class_Oone(_u8602)), _u8603)) | ( _u8604 != _u8605) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8602), _u8603), _u8604) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8602), _u8603), _u8605)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__Suc2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__Suc2-1, axiom, ( ~class_Groups_Omonoid__mult(_u8606) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8606), _u8607), hAPP(c_Nat_OSuc, _u8608)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8606), hAPP(hAPP(c_Power_Opower__class_Opower(_u8606), _u8607), _u8608)), _u8607)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__Suc ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__Suc-1, axiom, ( ~class_Power_Opower(_u8609) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8609), _u8610), hAPP(c_Nat_OSuc, _u8611)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8609), _u8610), hAPP(hAPP(c_Power_Opower__class_Opower(_u8609), _u8610), _u8611))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__one__le__power ( axiom ) converted to clauses:
% 43.36/43.57 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))), _u8612)) | 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), _u8612), _u8613))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__0-1, axiom, ( ~class_Power_Opower(_u8614) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8614), _u8615), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8614)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__add ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__add-1, axiom, ( ~class_Groups_Omonoid__mult(_u8616) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8616), _u8617), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8618), _u8619)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8616), hAPP(hAPP(c_Power_Opower__class_Opower(_u8616), _u8617), _u8618)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8616), _u8617), _u8619))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nonzero__power__divide ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nonzero__power__divide-1, axiom, ( ~class_Fields_Ofield(_u8620) | ( _u8621 = c_Groups_Ozero__class_Ozero(_u8620)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8620), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8620), _u8622), _u8621)), _u8623) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8620), hAPP(hAPP(c_Power_Opower__class_Opower(_u8620), _u8622), _u8623)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8620), _u8621), _u8623))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__one__over ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__one__over-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8624) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8624), c_Groups_Oone__class_Oone(_u8624)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8624), _u8625), _u8626)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8624), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8624), c_Groups_Oone__class_Oone(_u8624)), _u8625)), _u8626)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__power__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__power__minus-1, axiom, ( ~class_Rings_Olinordered__idom(_u8627) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8627), hAPP(hAPP(c_Power_Opower__class_Opower(_u8627), hAPP(c_Groups_Ouminus__class_Ouminus(_u8627), _u8628)), _u8629)) = hAPP(c_Groups_Oabs__class_Oabs(_u8627), hAPP(hAPP(c_Power_Opower__class_Opower(_u8627), _u8628), _u8629))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__less__imp__less__base ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__less__imp__less__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8630), hAPP(hAPP(c_Power_Opower__class_Opower(_u8630), _u8631), _u8632)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8630), _u8633), _u8632))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8630), c_Groups_Ozero__class_Ozero(_u8630)), _u8633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8630), _u8631), _u8633)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__inject__base ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__inject__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8634) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8634), _u8635), hAPP(c_Nat_OSuc, _u8636)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8634), _u8637), hAPP(c_Nat_OSuc, _u8636))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8634), c_Groups_Ozero__class_Ozero(_u8634)), _u8635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8634), c_Groups_Ozero__class_Ozero(_u8634)), _u8637)) | ( _u8635 = _u8637) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__le__imp__le__base ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__le__imp__le__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8638), hAPP(hAPP(c_Power_Opower__class_Opower(_u8638), _u8639), hAPP(c_Nat_OSuc, _u8640))), hAPP(hAPP(c_Power_Opower__class_Opower(_u8638), _u8641), hAPP(c_Nat_OSuc, _u8640)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8638), c_Groups_Ozero__class_Ozero(_u8638)), _u8641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8638), _u8639), _u8641)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__less__power__Suc ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__less__power__Suc-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8642), c_Groups_Oone__class_Oone(_u8642)), _u8643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8642), hAPP(hAPP(c_Power_Opower__class_Opower(_u8642), _u8643), _u8644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8642), _u8643), hAPP(hAPP(c_Power_Opower__class_Opower(_u8642), _u8643), _u8644)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__gt1__lemma ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__gt1__lemma-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8645), c_Groups_Oone__class_Oone(_u8645)), _u8646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8645), c_Groups_Oone__class_Oone(_u8645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8645), _u8646), hAPP(hAPP(c_Power_Opower__class_Opower(_u8645), _u8646), _u8647)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__0__left ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__0__left-1, axiom, ( ~class_Power_Opower(_u8648) | ~class_Rings_Osemiring__0(_u8648) | ( _u8649 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8648), c_Groups_Ozero__class_Ozero(_u8648)), _u8649) = c_Groups_Oone__class_Oone(_u8648)) )).
% 43.36/43.57 cnf(fact_power__0__left-2, axiom, ( ~class_Power_Opower(_u8648) | ~class_Rings_Osemiring__0(_u8648) | ( _u8649 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8648), c_Groups_Ozero__class_Ozero(_u8648)), _u8649) = c_Groups_Ozero__class_Ozero(_u8648)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__gt1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__gt1-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8650), c_Groups_Oone__class_Oone(_u8650)), _u8651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8650), c_Groups_Oone__class_Oone(_u8650)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8650), _u8651), hAPP(c_Nat_OSuc, _u8652)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__strict__increasing__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__strict__increasing__iff-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), c_Groups_Oone__class_Oone(_u8653)), _u8654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Power_Opower__class_Opower(_u8653), _u8654), _u8655)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8653), _u8654), _u8656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8655), _u8656)) )).
% 43.36/43.57 cnf(fact_power__strict__increasing__iff-2, axiom, ( ~class_Rings_Olinordered__semidom(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), c_Groups_Oone__class_Oone(_u8653)), _u8654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8655), _u8656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Power_Opower__class_Opower(_u8653), _u8654), _u8655)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8653), _u8654), _u8656))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__less__imp__less__exp ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__less__imp__less__exp-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), c_Groups_Oone__class_Oone(_u8657)), _u8658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), hAPP(hAPP(c_Power_Opower__class_Opower(_u8657), _u8658), _u8659)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8657), _u8658), _u8660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8659), _u8660)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__strict__increasing ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__strict__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8662), _u8663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8661), c_Groups_Oone__class_Oone(_u8661)), _u8664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8661), hAPP(hAPP(c_Power_Opower__class_Opower(_u8661), _u8664), _u8662)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8661), _u8664), _u8663))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zero__le__power__abs ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zero__le__power__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u8665) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8665), c_Groups_Ozero__class_Ozero(_u8665)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8665), hAPP(c_Groups_Oabs__class_Oabs(_u8665), _u8666)), _u8667))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__increasing ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__increasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8669), _u8670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8668), c_Groups_Oone__class_Oone(_u8668)), _u8671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8668), hAPP(hAPP(c_Power_Opower__class_Opower(_u8668), _u8671), _u8669)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8668), _u8671), _u8670))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__minus-1, axiom, ( ~class_Rings_Oring__1(_u8672) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8672), hAPP(c_Groups_Ouminus__class_Ouminus(_u8672), _u8673)), _u8674) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8672), hAPP(hAPP(c_Power_Opower__class_Opower(_u8672), hAPP(c_Groups_Ouminus__class_Ouminus(_u8672), c_Groups_Oone__class_Oone(_u8672))), _u8674)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8672), _u8673), _u8674))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__Suc__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__Suc__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8675), c_Groups_Ozero__class_Ozero(_u8675)), _u8676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8675), _u8676), c_Groups_Oone__class_Oone(_u8675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8675), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8675), _u8676), hAPP(hAPP(c_Power_Opower__class_Opower(_u8675), _u8676), _u8677))), hAPP(hAPP(c_Power_Opower__class_Opower(_u8675), _u8676), _u8677))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__eq__imp__eq__base ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__eq__imp__eq__base-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8678) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8678), _u8679), _u8680) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8678), _u8681), _u8680)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8678), c_Groups_Ozero__class_Ozero(_u8678)), _u8679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8678), c_Groups_Ozero__class_Ozero(_u8678)), _u8681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8680)) | ( _u8679 = _u8681) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__Suc__less__one ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__Suc__less__one-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), c_Groups_Ozero__class_Ozero(_u8682)), _u8683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8683), c_Groups_Oone__class_Oone(_u8682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), hAPP(hAPP(c_Power_Opower__class_Opower(_u8682), _u8683), hAPP(c_Nat_OSuc, _u8684))), c_Groups_Oone__class_Oone(_u8682))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__strict__decreasing ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__strict__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8686), _u8687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8685), c_Groups_Ozero__class_Ozero(_u8685)), _u8688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8685), _u8688), c_Groups_Oone__class_Oone(_u8685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8685), hAPP(hAPP(c_Power_Opower__class_Opower(_u8685), _u8688), _u8687)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8685), _u8688), _u8686))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__decreasing ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__decreasing-1, axiom, ( ~class_Rings_Olinordered__semidom(_u8689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8690), _u8691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8689), c_Groups_Ozero__class_Ozero(_u8689)), _u8692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8689), _u8692), c_Groups_Oone__class_Oone(_u8689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8689), hAPP(hAPP(c_Power_Opower__class_Opower(_u8689), _u8692), _u8691)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8689), _u8692), _u8690))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_le__divide__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) )).
% 43.36/43.57 cnf(fact_le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) )).
% 43.36/43.57 cnf(fact_le__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.36/43.57 cnf(fact_le__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.36/43.57 cnf(fact_le__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.36/43.57 cnf(fact_le__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.36/43.57 cnf(fact_le__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 43.36/43.57 cnf(fact_le__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.36/43.57 cnf(fact_le__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.36/43.57 cnf(fact_le__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__le__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699))) )).
% 43.36/43.57 cnf(fact_divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) )).
% 43.36/43.57 cnf(fact_divide__le__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.36/43.57 cnf(fact_divide__le__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.36/43.57 cnf(fact_divide__le__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) )).
% 43.36/43.57 cnf(fact_divide__le__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.36/43.57 cnf(fact_divide__le__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _u8700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) )).
% 43.36/43.57 cnf(fact_divide__le__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _u8700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_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__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.36/43.57 cnf(fact_divide__le__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _u8700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) )).
% 43.36/43.57 cnf(fact_divide__le__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _u8700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__le__divide__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_pos__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8701), _u8703), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8704), _u8702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), _u8703), _u8702)), _u8704)) )).
% 43.36/43.57 cnf(fact_pos__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), _u8703), _u8702)), _u8704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8701), _u8703), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8704), _u8702))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__divide__le__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_pos__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), _u8706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), _u8706)), _u8708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8708), _u8706))) )).
% 43.36/43.57 cnf(fact_pos__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), _u8706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8708), _u8706))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), _u8706)), _u8708)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_times__divide__times__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_times__divide__times__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8709) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8709), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8709), _u8710), _u8711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8709), _u8712), _u8713)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8709), _u8710), _u8712)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8709), _u8711), _u8713))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__divide__right ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__divide__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8714) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8714), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8714), _u8715), _u8716)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8714), _u8715), hAPP(c_Groups_Ouminus__class_Ouminus(_u8714), _u8716))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__divide__divide ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__divide__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8717) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), hAPP(c_Groups_Ouminus__class_Ouminus(_u8717), _u8718)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8717), _u8719)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8718), _u8719)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__divide ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__divide-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8720) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8720), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8720), _u8721), _u8722)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8720), hAPP(c_Groups_Oabs__class_Oabs(_u8720), _u8721)), hAPP(c_Groups_Oabs__class_Oabs(_u8720), _u8722))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__right__mono__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8723), _u8724), _u8725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8723), _u8726), c_Groups_Ozero__class_Ozero(_u8723))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8723), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8723), _u8725), _u8726)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8723), _u8724), _u8726))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__right__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__right__mono-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), _u8728), _u8729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), c_Groups_Ozero__class_Ozero(_u8727)), _u8730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8727), _u8728), _u8730)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8727), _u8729), _u8730))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__le__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__le__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8732), c_Groups_Ozero__class_Ozero(_u8731))) )).
% 43.36/43.57 cnf(fact_divide__le__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8733)) )).
% 43.36/43.57 cnf(fact_divide__le__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8733), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8732), c_Groups_Ozero__class_Ozero(_u8731))) )).
% 43.36/43.57 cnf(fact_divide__le__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8733), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8733)) )).
% 43.36/43.57 cnf(fact_divide__le__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8733), c_Groups_Ozero__class_Ozero(_u8731))) )).
% 43.36/43.57 cnf(fact_divide__le__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8732), c_Groups_Ozero__class_Ozero(_u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8733)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zero__le__divide__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zero__le__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8735), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.36/43.57 cnf(fact_zero__le__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8736), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.36/43.57 cnf(fact_zero__le__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8735), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.36/43.57 cnf(fact_zero__le__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8736), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.36/43.57 cnf(fact_zero__le__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8736)) )).
% 43.36/43.57 cnf(fact_zero__le__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8735), c_Groups_Ozero__class_Ozero(_u8734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8736), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__strict__right__mono__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__strict__right__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8737) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8737), _u8738), _u8739)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8737), _u8740), c_Groups_Ozero__class_Ozero(_u8737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8737), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8737), _u8739), _u8740)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8737), _u8738), _u8740))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__strict__right__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__strict__right__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u8741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8741), _u8742), _u8743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8741), c_Groups_Ozero__class_Ozero(_u8741)), _u8744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8741), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8741), _u8742), _u8744)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8741), _u8743), _u8744))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__neg__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__neg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8745), _u8746), c_Groups_Ozero__class_Ozero(_u8745))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8745), _u8747), c_Groups_Ozero__class_Ozero(_u8745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8745), c_Groups_Ozero__class_Ozero(_u8745)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8745), _u8746), _u8747))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__neg__pos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__neg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8748), _u8749), c_Groups_Ozero__class_Ozero(_u8748))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8748), c_Groups_Ozero__class_Ozero(_u8748)), _u8750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8748), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8748), _u8749), _u8750)), c_Groups_Ozero__class_Ozero(_u8748))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__pos__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__pos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8751), c_Groups_Ozero__class_Ozero(_u8751)), _u8752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8751), _u8753), c_Groups_Ozero__class_Ozero(_u8751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8751), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8751), _u8752), _u8753)), c_Groups_Ozero__class_Ozero(_u8751))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__pos__pos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__pos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8754), c_Groups_Ozero__class_Ozero(_u8754)), _u8755)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8754), c_Groups_Ozero__class_Ozero(_u8754)), _u8756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8754), c_Groups_Ozero__class_Ozero(_u8754)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8754), _u8755), _u8756))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__less__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__less__0__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8758), c_Groups_Ozero__class_Ozero(_u8757))) )).
% 43.36/43.57 cnf(fact_divide__less__0__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8759)) )).
% 43.36/43.57 cnf(fact_divide__less__0__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8759), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8758), c_Groups_Ozero__class_Ozero(_u8757))) )).
% 43.36/43.57 cnf(fact_divide__less__0__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8759), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8759)) )).
% 43.36/43.57 cnf(fact_divide__less__0__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8759), c_Groups_Ozero__class_Ozero(_u8757))) )).
% 43.36/43.57 cnf(fact_divide__less__0__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8758), c_Groups_Ozero__class_Ozero(_u8757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8759)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zero__less__divide__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zero__less__divide__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8761), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.36/43.57 cnf(fact_zero__less__divide__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8762), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.36/43.57 cnf(fact_zero__less__divide__iff-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8761), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.36/43.57 cnf(fact_zero__less__divide__iff-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8762), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.36/43.57 cnf(fact_zero__less__divide__iff-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8762)) )).
% 43.36/43.57 cnf(fact_zero__less__divide__iff-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8761), c_Groups_Ozero__class_Ozero(_u8760))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8762), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_frac__eq__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_frac__eq__eq-1, axiom, ( ~class_Fields_Ofield(_u8763) | ( _u8764 = c_Groups_Ozero__class_Ozero(_u8763)) | ( _u8765 = c_Groups_Ozero__class_Ozero(_u8763)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8763), _u8766), _u8764) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8763), _u8767), _u8765)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8763), _u8766), _u8765) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8763), _u8767), _u8764)) )).
% 43.36/43.57 cnf(fact_frac__eq__eq-2, axiom, ( ~class_Fields_Ofield(_u8763) | ( _u8764 = c_Groups_Ozero__class_Ozero(_u8763)) | ( _u8765 = c_Groups_Ozero__class_Ozero(_u8763)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8763), _u8766), _u8765) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8763), _u8767), _u8764)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8763), _u8766), _u8764) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8763), _u8767), _u8765)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mult__divide__mult__cancel__left ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mult__divide__mult__cancel__left-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8768) | ( _u8769 = c_Groups_Ozero__class_Ozero(_u8768)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8768), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8768), _u8769), _u8770)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8768), _u8769), _u8771)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8768), _u8770), _u8771)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mult__divide__mult__cancel__right ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mult__divide__mult__cancel__right-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8772) | ( _u8773 = c_Groups_Ozero__class_Ozero(_u8772)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8772), _u8774), _u8773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8772), _u8775), _u8773)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8772), _u8774), _u8775)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__eq__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__eq__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) != _u8779) | ( _u8778 = c_Groups_Ozero__class_Ozero(_u8776)) | ( _u8777 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8776), _u8779), _u8778)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) != _u8779) | ( _u8778 != c_Groups_Ozero__class_Ozero(_u8776)) | ( _u8779 = c_Groups_Ozero__class_Ozero(_u8776)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) = _u8779) | ( _u8778 != c_Groups_Ozero__class_Ozero(_u8776)) | ( _u8779 != c_Groups_Ozero__class_Ozero(_u8776)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) = _u8779) | ( _u8777 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8776), _u8779), _u8778)) | ( _u8778 = c_Groups_Ozero__class_Ozero(_u8776)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) = _u8779) | ( _u8777 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8776), _u8779), _u8778)) | ( _u8779 != c_Groups_Ozero__class_Ozero(_u8776)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_eq__divide__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_eq__divide__eq-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( _u8783 = c_Groups_Ozero__class_Ozero(_u8780)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8780), _u8781), _u8783) = _u8782) )).
% 43.36/43.57 cnf(fact_eq__divide__eq-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( _u8783 != c_Groups_Ozero__class_Ozero(_u8780)) | ( _u8781 = c_Groups_Ozero__class_Ozero(_u8780)) )).
% 43.36/43.57 cnf(fact_eq__divide__eq-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( _u8783 != c_Groups_Ozero__class_Ozero(_u8780)) | ( _u8781 != c_Groups_Ozero__class_Ozero(_u8780)) )).
% 43.36/43.57 cnf(fact_eq__divide__eq-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8780), _u8781), _u8783) != _u8782) | ( _u8783 = c_Groups_Ozero__class_Ozero(_u8780)) )).
% 43.36/43.57 cnf(fact_eq__divide__eq-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8780), _u8781), _u8783) != _u8782) | ( _u8781 != c_Groups_Ozero__class_Ozero(_u8780)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nonzero__abs__divide ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nonzero__abs__divide-1, axiom, ( ~class_Fields_Olinordered__field(_u8784) | ( _u8785 = c_Groups_Ozero__class_Ozero(_u8784)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8784), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8784), _u8786), _u8785)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8784), hAPP(c_Groups_Oabs__class_Oabs(_u8784), _u8786)), hAPP(c_Groups_Oabs__class_Oabs(_u8784), _u8785))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__nonpos__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__nonpos__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8787) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8787), _u8788), c_Groups_Ozero__class_Ozero(_u8787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8787), _u8789), c_Groups_Ozero__class_Ozero(_u8787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8787), c_Groups_Ozero__class_Ozero(_u8787)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8787), _u8788), _u8789))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__nonpos__pos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__nonpos__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8790) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8790), _u8791), c_Groups_Ozero__class_Ozero(_u8790))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8790), c_Groups_Ozero__class_Ozero(_u8790)), _u8792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8790), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8790), _u8791), _u8792)), c_Groups_Ozero__class_Ozero(_u8790))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_frac__le ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_frac__le-1, axiom, ( ~class_Fields_Olinordered__field(_u8793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8793), c_Groups_Ozero__class_Ozero(_u8793)), _u8794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8793), _u8794), _u8795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8793), c_Groups_Ozero__class_Ozero(_u8793)), _u8796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8793), _u8796), _u8797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8793), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8793), _u8794), _u8797)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8793), _u8795), _u8796))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_frac__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_frac__less-1, axiom, ( ~class_Fields_Olinordered__field(_u8798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8798), c_Groups_Ozero__class_Ozero(_u8798)), _u8799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8798), _u8799), _u8800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8798), c_Groups_Ozero__class_Ozero(_u8798)), _u8801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8798), _u8801), _u8802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8798), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8798), _u8799), _u8802)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8798), _u8800), _u8801))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_frac__less2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_frac__less2-1, axiom, ( ~class_Fields_Olinordered__field(_u8803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8803), c_Groups_Ozero__class_Ozero(_u8803)), _u8804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8803), _u8804), _u8805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8803), c_Groups_Ozero__class_Ozero(_u8803)), _u8806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8803), _u8806), _u8807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8803), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8803), _u8804), _u8807)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8803), _u8805), _u8806))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__nonneg__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__nonneg__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8808), c_Groups_Ozero__class_Ozero(_u8808)), _u8809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8808), _u8810), c_Groups_Ozero__class_Ozero(_u8808))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8808), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8808), _u8809), _u8810)), c_Groups_Ozero__class_Ozero(_u8808))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__nonneg__pos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__nonneg__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8811), c_Groups_Ozero__class_Ozero(_u8811)), _u8812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8811), c_Groups_Ozero__class_Ozero(_u8811)), _u8813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8811), c_Groups_Ozero__class_Ozero(_u8811)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8811), _u8812), _u8813))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_less__divide__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) )).
% 43.36/43.57 cnf(fact_less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) )).
% 43.36/43.57 cnf(fact_less__divide__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.36/43.57 cnf(fact_less__divide__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.36/43.57 cnf(fact_less__divide__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.36/43.57 cnf(fact_less__divide__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.36/43.57 cnf(fact_less__divide__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) )).
% 43.36/43.57 cnf(fact_less__divide__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.36/43.57 cnf(fact_less__divide__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.36/43.57 cnf(fact_less__divide__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__less__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) )).
% 43.36/43.57 cnf(fact_divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) )).
% 43.36/43.57 cnf(fact_divide__less__eq-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.36/43.57 cnf(fact_divide__less__eq-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.36/43.57 cnf(fact_divide__less__eq-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) )).
% 43.36/43.57 cnf(fact_divide__less__eq-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.36/43.57 cnf(fact_divide__less__eq-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) )).
% 43.36/43.57 cnf(fact_divide__less__eq-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.36/43.57 cnf(fact_divide__less__eq-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) )).
% 43.36/43.57 cnf(fact_divide__less__eq-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__less__divide__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_pos__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8822) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), c_Groups_Ozero__class_Ozero(_u8822)), _u8823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), _u8824), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8825), _u8823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8824), _u8823)), _u8825)) )).
% 43.36/43.57 cnf(fact_pos__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8822) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), c_Groups_Ozero__class_Ozero(_u8822)), _u8823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8824), _u8823)), _u8825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), _u8824), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8825), _u8823))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__divide__less__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_pos__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), c_Groups_Ozero__class_Ozero(_u8826)), _u8827)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8826), _u8828), _u8827)), _u8829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), _u8828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8826), _u8829), _u8827))) )).
% 43.36/43.57 cnf(fact_pos__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), c_Groups_Ozero__class_Ozero(_u8826)), _u8827)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), _u8828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8826), _u8829), _u8827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8826), _u8828), _u8827)), _u8829)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mult__imp__div__pos__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mult__imp__div__pos__less-1, axiom, ( ~class_Fields_Olinordered__field(_u8830) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), c_Groups_Ozero__class_Ozero(_u8830)), _u8831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), _u8832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8830), _u8833), _u8831))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8830), _u8832), _u8831)), _u8833)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mult__imp__less__div__pos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mult__imp__less__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8834) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8834), c_Groups_Ozero__class_Ozero(_u8834)), _u8835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8834), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8834), _u8836), _u8835)), _u8837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8834), _u8836), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8834), _u8837), _u8835))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__less__divide__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__less__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8839), c_Groups_Ozero__class_Ozero(_u8838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8840), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8838), _u8841), _u8839))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8838), _u8840), _u8839))) )).
% 43.36/43.57 cnf(fact_neg__less__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8839), c_Groups_Ozero__class_Ozero(_u8838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8838), _u8840), _u8839))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8840), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8838), _u8841), _u8839))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__divide__less__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__divide__less__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), _u8843), c_Groups_Ozero__class_Ozero(_u8842))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8842), _u8844), _u8843)), _u8845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8842), _u8845), _u8843)), _u8844)) )).
% 43.36/43.57 cnf(fact_neg__divide__less__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), _u8843), c_Groups_Ozero__class_Ozero(_u8842))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8842), _u8845), _u8843)), _u8844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8842), _u8844), _u8843)), _u8845)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__strict__left__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__strict__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u8846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8846), _u8847), _u8848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8846), c_Groups_Ozero__class_Ozero(_u8846)), _u8849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8846), c_Groups_Ozero__class_Ozero(_u8846)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8846), _u8848), _u8847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8846), _u8849), _u8848)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8846), _u8849), _u8847))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__strict__left__mono__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__strict__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field(_u8850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), _u8851), _u8852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), _u8853), c_Groups_Ozero__class_Ozero(_u8850))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), c_Groups_Ozero__class_Ozero(_u8850)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8850), _u8851), _u8852))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8850), _u8853), _u8851)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8850), _u8853), _u8852))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_add__frac__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_add__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u8854) | ( _u8855 = c_Groups_Ozero__class_Ozero(_u8854)) | ( _u8856 = c_Groups_Ozero__class_Ozero(_u8854)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8854), _u8857), _u8855)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8854), _u8858), _u8856)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8854), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8854), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8854), _u8857), _u8856)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8854), _u8858), _u8855))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8854), _u8855), _u8856))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__add__eq__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__add__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8859) | ( _u8860 = c_Groups_Ozero__class_Ozero(_u8859)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8859), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8859), _u8861), _u8860)), _u8862) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8859), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8859), _u8861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8859), _u8860), _u8862))), _u8860)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_add__frac__num ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_add__frac__num-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8863) | ( _u8864 = c_Groups_Ozero__class_Ozero(_u8863)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8863), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8863), _u8865), _u8864)), _u8866) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8863), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8863), _u8865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8863), _u8866), _u8864))), _u8864)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_add__divide__eq__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_add__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8867) | ( _u8868 = c_Groups_Ozero__class_Ozero(_u8867)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8867), _u8869), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8867), _u8870), _u8868)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8867), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8867), _u8868), _u8869)), _u8870)), _u8868)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_add__num__frac ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_add__num__frac-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u8871) | ( _u8872 = c_Groups_Ozero__class_Ozero(_u8871)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8871), _u8873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8871), _u8874), _u8872)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8871), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8871), _u8874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8871), _u8873), _u8872))), _u8872)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__divide__eq__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__divide__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8875) | ( _u8876 = c_Groups_Ozero__class_Ozero(_u8875)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8875), _u8877), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8875), _u8878), _u8876)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8875), _u8876), _u8877)), _u8878)), _u8876)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__diff__eq__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__diff__eq__iff-1, axiom, ( ~class_Fields_Ofield(_u8879) | ( _u8880 = c_Groups_Ozero__class_Ozero(_u8879)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8879), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8879), _u8881), _u8880)), _u8882) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8879), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8879), _u8881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8879), _u8880), _u8882))), _u8880)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__frac__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__frac__eq-1, axiom, ( ~class_Fields_Ofield(_u8883) | ( _u8884 = c_Groups_Ozero__class_Ozero(_u8883)) | ( _u8885 = c_Groups_Ozero__class_Ozero(_u8883)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8883), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8883), _u8886), _u8884)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8883), _u8887), _u8885)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8883), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8883), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8883), _u8886), _u8885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8883), _u8887), _u8884))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8883), _u8884), _u8885))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_less__half__sum ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_less__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u8888) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8888), _u8889), _u8890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8888), _u8889), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8888), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8888), _u8889), _u8890)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8888), c_Groups_Oone__class_Oone(_u8888)), c_Groups_Oone__class_Oone(_u8888))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_gt__half__sum ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_gt__half__sum-1, axiom, ( ~class_Fields_Olinordered__field(_u8891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8891), _u8892), _u8893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8891), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8891), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8891), _u8892), _u8893)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8891), c_Groups_Oone__class_Oone(_u8891)), c_Groups_Oone__class_Oone(_u8891)))), _u8893)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__div__pos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__div__pos-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8894) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8894), c_Groups_Ozero__class_Ozero(_u8894)), _u8895)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8894), hAPP(c_Groups_Oabs__class_Oabs(_u8894), _u8896)), _u8895) = hAPP(c_Groups_Oabs__class_Oabs(_u8894), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8894), _u8896), _u8895))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__left__mono__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__left__mono__neg-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u8897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8897), _u8898), _u8899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8897), _u8900), c_Groups_Ozero__class_Ozero(_u8897))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8897), c_Groups_Ozero__class_Ozero(_u8897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8897), _u8898), _u8899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8897), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8897), _u8900), _u8898)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8897), _u8900), _u8899))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__left__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__left__mono-1, axiom, ( ~class_Fields_Olinordered__field(_u8901) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8901), _u8902), _u8903)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8901), c_Groups_Ozero__class_Ozero(_u8901)), _u8904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8901), c_Groups_Ozero__class_Ozero(_u8901)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8901), _u8903), _u8902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8901), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8901), _u8904), _u8903)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8901), _u8904), _u8902))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__divide__le__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__divide__le__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8905), _u8906), c_Groups_Ozero__class_Ozero(_u8905))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8905), _u8907), _u8906)), _u8908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8905), _u8908), _u8906)), _u8907)) )).
% 43.36/43.57 cnf(fact_neg__divide__le__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8905), _u8906), c_Groups_Ozero__class_Ozero(_u8905))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8905), _u8908), _u8906)), _u8907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8905), _u8907), _u8906)), _u8908)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__le__divide__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__le__divide__eq-1, axiom, ( ~class_Fields_Olinordered__field(_u8909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8909), _u8910), c_Groups_Ozero__class_Ozero(_u8909))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8909), _u8911), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8909), _u8912), _u8910))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8909), _u8912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8909), _u8911), _u8910))) )).
% 43.36/43.57 cnf(fact_neg__le__divide__eq-2, axiom, ( ~class_Fields_Olinordered__field(_u8909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8909), _u8910), c_Groups_Ozero__class_Ozero(_u8909))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8909), _u8912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8909), _u8911), _u8910))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8909), _u8911), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8909), _u8912), _u8910))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mult__imp__le__div__pos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mult__imp__le__div__pos-1, axiom, ( ~class_Fields_Olinordered__field(_u8913) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8913), c_Groups_Ozero__class_Ozero(_u8913)), _u8914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8913), _u8915), _u8914)), _u8916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8913), _u8915), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8913), _u8916), _u8914))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mult__imp__div__pos__le ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mult__imp__div__pos__le-1, axiom, ( ~class_Fields_Olinordered__field(_u8917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8917), c_Groups_Ozero__class_Ozero(_u8917)), _u8918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8917), _u8919), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8917), _u8920), _u8918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8917), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8917), _u8919), _u8918)), _u8920)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_transfer__int__nat__sum__prod2_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_transfer__int__nat__sum__prod2_I2_J-1, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8922, tc_Int_Oint), _u8924), _u8923) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8922, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8922), c_Int_Onat), _u8924)), _u8923))) | hBOOL(hAPP(hAPP(c_member(_u8922), skolem224(_u8924, _u8923, _u8922)), _u8923)) )).
% 43.36/43.57 cnf(fact_transfer__int__nat__sum__prod2_I2_J-2, axiom, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8922, tc_Int_Oint), _u8924), _u8923) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8922, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8922), c_Int_Onat), _u8924)), _u8923))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8924, skolem224(_u8924, _u8923, _u8922))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__Un ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__Un-1, axiom, ( ~class_Fields_Ofield(_u8926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8928)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8926), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), _u8928)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), _u8929))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929)))) | hBOOL(hAPP(hAPP(c_member(_u8927), skolem225(_u8930, _u8929, _u8928, _u8927, _u8926)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929))) )).
% 43.36/43.57 cnf(fact_setprod__Un-2, axiom, ( ~class_Fields_Ofield(_u8926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8928)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8926), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), _u8928)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), _u8929))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929)))) | ( hAPP(_u8930, skolem225(_u8930, _u8929, _u8928, _u8927, _u8926)) = c_Groups_Ozero__class_Ozero(_u8926)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power__power__power ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power__power__power-1, axiom, ( ~class_Power_Opower(_u8931) | ( c_Power_Opower__class_Opower(_u8931) = c_Power_Opower_Opower(_u8931, c_Groups_Oone__class_Oone(_u8931), c_Groups_Otimes__class_Otimes(_u8931))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_int__power__div__base ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8933)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8933), _u8932)), _u8933) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8932), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__by__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u8934) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8934), _u8935), c_Groups_Ozero__class_Ozero(_u8934)) = c_Groups_Ozero__class_Ozero(_u8934)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__0-1, axiom, ( ~class_Divides_Osemiring__div(_u8936) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8936), c_Groups_Ozero__class_Ozero(_u8936)), _u8937) = c_Groups_Ozero__class_Ozero(_u8936)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__by__1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u8938) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8938), _u8939), c_Groups_Oone__class_Oone(_u8938)) = _u8939) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I1_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Divides_Otransfer__int__nat__function__closures_I1_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u8940) | ~c_Nat__Transfer_Ois__nat(_u8941) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8940), _u8941)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zdiv__zero-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8942) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zminus2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zdiv__zminus2-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8943), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8944)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8943)), _u8944)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zminus__zminus ( axiom ) converted to clauses:
% 43.36/43.57 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), _u8945)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8946)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8945), _u8946)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I1_J ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8948)) | 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), _u8947), _u8948))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__neg__pos__less0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__neg__pos__less0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8949), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8949), _u8950)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__imp__zdiv__neg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8951), 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), _u8952), _u8951)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8952)) )).
% 43.36/43.57 cnf(fact_neg__imp__zdiv__neg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8952), _u8951)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__imp__zdiv__neg__iff ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8954), _u8953)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8954), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 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)), _u8953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8954), 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), _u8954), _u8953)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__self ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zdiv__self-1, axiom, ( ( _u8955 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8955), _u8955) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult__mult1__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mult__mult1__if-1, axiom, ( ~class_Divides_Osemiring__div(_u8956) | ( _u8957 != c_Groups_Ozero__class_Ozero(_u8956)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8956), _u8957), _u8958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8956), _u8957), _u8959)) = c_Groups_Ozero__class_Ozero(_u8956)) )).
% 43.36/43.57 cnf(fact_div__mult__mult1__if-2, axiom, ( ~class_Divides_Osemiring__div(_u8956) | ( _u8957 = c_Groups_Ozero__class_Ozero(_u8956)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8956), _u8957), _u8958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8956), _u8957), _u8959)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8956), _u8958), _u8959)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult__self2__is__id ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mult__self2__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u8960) | ( _u8961 = c_Groups_Ozero__class_Ozero(_u8960)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8960), _u8962), _u8961)), _u8961) = _u8962) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult__self1__is__id ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mult__self1__is__id-1, axiom, ( ~class_Divides_Osemiring__div(_u8963) | ( _u8964 = c_Groups_Ozero__class_Ozero(_u8963)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8963), _u8964), _u8965)), _u8964) = _u8965) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult__mult2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u8966) | ( _u8967 = c_Groups_Ozero__class_Ozero(_u8966)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8966), _u8968), _u8967)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8966), _u8969), _u8967)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8966), _u8968), _u8969)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult__mult1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u8970) | ( _u8971 = c_Groups_Ozero__class_Ozero(_u8970)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8970), _u8971), _u8972)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8970), _u8971), _u8973)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8970), _u8972), _u8973)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__self ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__self-1, axiom, ( ~class_Divides_Osemiring__div(_u8974) | ( _u8975 = c_Groups_Ozero__class_Ozero(_u8974)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8974), _u8975), _u8975) = c_Groups_Oone__class_Oone(_u8974)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__mono1__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zdiv__mono1__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8976), _u8977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8978), 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), _u8977), _u8978)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8976), _u8978))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__mono1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zdiv__mono1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8979), _u8980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8979), _u8981)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8980), _u8981))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__neg__neg__trivial ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8982), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8983), _u8982)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8982), _u8983) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__mono2__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zdiv__mono2__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8984), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8985), _u8986)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8984), _u8985)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8984), _u8986))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__nonpos__pos__le0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__nonpos__pos__le0-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8987), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8987), _u8988)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__imp__zdiv__nonneg__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8989), 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), _u8990), _u8989))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8990), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_neg__imp__zdiv__nonneg__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8989), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8990), 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), _u8990), _u8989))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__pos__pos__trivial ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8991), _u8992)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8991), _u8992) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__nonneg__neg__le0 ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8993)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8994), 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), _u8993), _u8994)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__mono2 ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8995)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8996), _u8997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8995), _u8997)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8995), _u8996))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nonneg1__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u8998)) | ~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), _u8998), _u8999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8999), _u8998)) )).
% 43.36/43.57 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)), _u8998)) | ~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), _u8998), _u8999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8999)) )).
% 43.36/43.57 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)), _u8998)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8999), _u8998)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8999)) | 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), _u8998), _u8999))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__imp__zdiv__pos__iff ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9000)) | ~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), _u9001), _u9000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9000), _u9001)) )).
% 43.36/43.57 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)), _u9000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9000), _u9001)) | 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), _u9001), _u9000))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__imp__zdiv__nonneg__iff ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9002)) | ~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), _u9003), _u9002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9003)) )).
% 43.36/43.57 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)), _u9002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9003)) | 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), _u9003), _u9002))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zdiv__eq__0__iff-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9006), _u9008) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9008 = 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)), _u9006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9006), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_zdiv__eq__0__iff-2, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9006), _u9008) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9008 = 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)), _u9006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9008), _u9006)) )).
% 43.36/43.57 cnf(fact_zdiv__eq__0__iff-3, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9006), _u9008) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9008 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9006), _u9008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9006), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_zdiv__eq__0__iff-4, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9006), _u9008) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9008 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9006), _u9008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9008), _u9006)) )).
% 43.36/43.57 cnf(fact_zdiv__eq__0__iff-5, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9007), _u9009) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9009 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57 cnf(fact_zdiv__eq__0__iff-6, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9007), _u9009) = 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)), _u9007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9007), _u9009)) )).
% 43.36/43.57 cnf(fact_zdiv__eq__0__iff-7, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9007), _u9009) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9007), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9009), _u9007)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_int__div__less__self ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9010)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9010), _u9011)), _u9010)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zmult2__eq ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9012)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9013), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9014), _u9012)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9013), _u9014)), _u9012)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power_Opower_Opower__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power_Opower_Opower__0-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u9015, _u9016, _u9017), _u9018), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9016) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_power_Opower_Opower__Suc ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_power_Opower_Opower__Suc-1, axiom, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u9019, _u9020, _u9021), _u9022), hAPP(c_Nat_OSuc, _u9023)) = hAPP(hAPP(_u9021, _u9022), hAPP(hAPP(c_Power_Opower_Opower(_u9019, _u9020, _u9021), _u9022), _u9023))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult__self1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9024) | ( _u9025 = c_Groups_Ozero__class_Ozero(_u9024)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9024), _u9026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9024), _u9027), _u9025))), _u9025) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9024), _u9027), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9024), _u9026), _u9025))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult__self2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9028) | ( _u9029 = c_Groups_Ozero__class_Ozero(_u9028)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9028), _u9030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9028), _u9029), _u9031))), _u9029) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9028), _u9031), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9028), _u9030), _u9029))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__add__self2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9032) | ( _u9033 = c_Groups_Ozero__class_Ozero(_u9032)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9032), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9032), _u9034), _u9033)), _u9033) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9032), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9032), _u9034), _u9033)), c_Groups_Oone__class_Oone(_u9032))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__add__self1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9035) | ( _u9036 = c_Groups_Ozero__class_Ozero(_u9035)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9035), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9035), _u9036), _u9037)), _u9036) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9035), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9035), _u9037), _u9036)), c_Groups_Oone__class_Oone(_u9035))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divmod__int__rel__div__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divmod__int__rel__div__eq-1, axiom, ( ( _u9038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9039), _u9040)), _u9041)) | ( _u9039 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9038), _u9039) = _u9040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9039), _u9041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_divmod__int__rel__div__eq-2, axiom, ( ( _u9038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9039), _u9040)), _u9041)) | ( _u9039 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9038), _u9039) = _u9040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9041), _u9039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9039)) )).
% 43.36/43.57 cnf(fact_divmod__int__rel__div__eq-3, axiom, ( ( _u9038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9039), _u9040)), _u9041)) | ( _u9039 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9038), _u9039) = _u9040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9041), _u9039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9039), _u9041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_split__zdiv ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_split__zdiv-1, axiom, ( ~hBOOL(hAPP(_u9053, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9055), _u9057))) | ( _u9057 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9053, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_split__zdiv-2, axiom, ( ~hBOOL(hAPP(_u9053, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9055), _u9057))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9042)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9042), _u9057)) | ( _u9055 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9057), _u9043)), _u9042)) | hBOOL(hAPP(_u9053, _u9043)) )).
% 43.36/43.57 cnf(fact_split__zdiv-3, axiom, ( ~hBOOL(hAPP(_u9053, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9055), _u9057))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9057), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9057), _u9044)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9044), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9055 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9057), _u9045)), _u9044)) | hBOOL(hAPP(_u9053, _u9045)) )).
% 43.36/43.57 cnf(fact_split__zdiv-4, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-5, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-6, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-7, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-8, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-9, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-10, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-11, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-12, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-13, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-14, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-15, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-16, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-17, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-18, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-19, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-20, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-21, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-22, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-23, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-24, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-25, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-26, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-27, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-28, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-29, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-30, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-31, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-32, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-33, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-34, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-35, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-36, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-37, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-38, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-39, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-40, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-41, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-42, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-43, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-44, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-45, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-46, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-47, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-48, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-49, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-50, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-51, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.36/43.57 cnf(fact_split__zdiv-52, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.36/43.57 cnf(fact_split__zdiv-53, axiom, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_z3div__def ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9061)) | ( c_SMT_Oz3div(_u9063, _u9061) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9063), _u9061)) )).
% 43.36/43.57 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)), _u9062)) | ( c_SMT_Oz3div(_u9064, _u9062) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9064), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9062)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__of__nat ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__of__nat-1, axiom, ( ~class_Rings_Oring__1(_u9065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9066), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9065), _u9066) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9065), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9065), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9066))))) )).
% 43.36/43.57 cnf(fact_of__int__of__nat-2, axiom, ( ~class_Rings_Oring__1(_u9065) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9066), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9065), _u9066) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9065), hAPP(c_Int_Onat, _u9066))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_negD ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_negD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9068), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9068 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem230(_u9068))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__mono__one__left ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__mono__one__left-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9070) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9071), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9073), _u9072)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9071, _u9070), _u9074), _u9073) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9071, _u9070), _u9074), _u9072)) | hBOOL(hAPP(hAPP(c_member(_u9071), skolem231(_u9074, _u9073, _u9072, _u9071, _u9070)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9071, tc_HOL_Obool)), _u9072), _u9073))) )).
% 43.36/43.57 cnf(fact_setprod__mono__one__left-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9070) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9071), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9073), _u9072)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9071, _u9070), _u9074), _u9073) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9071, _u9070), _u9074), _u9072)) | ( hAPP(_u9074, skolem231(_u9074, _u9073, _u9072, _u9071, _u9070)) != c_Groups_Oone__class_Oone(_u9070)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult2__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mult2__eq-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9075), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9076), _u9077)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9075), _u9076)), _u9077)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__le__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__le__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9078), _u9079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9078), _u9080)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9079), _u9080))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__le__dividend ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9081), _u9082)), _u9081)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__eq__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u9083) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9083), _u9084) != hAPP(c_Int_Oring__1__class_Oof__int(_u9083), _u9085)) | ( _u9084 = _u9085) )).
% 43.36/43.57 cnf(fact_of__int__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u9083) | ( _u9084 != _u9085) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9083), _u9084) = hAPP(c_Int_Oring__1__class_Oof__int(_u9083), _u9085)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__int__eq ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9086)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9086)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__1-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9087), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u9087) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9088), _u9089)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9088), _u9089) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__mult__div__cancel__disj ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nat__mult__div__cancel__disj-1, axiom, ( ( _u9093 != 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), _u9093), _u9095)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9093), _u9097)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_nat__mult__div__cancel__disj-2, axiom, ( ( _u9094 = 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), _u9094), _u9096)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9094), _u9098)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9096), _u9098)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__int ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9099), _u9100)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9100))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Divides_Otransfer__int__nat__functions_I1_J ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9101)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9102)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9101), _u9102))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__0-1, axiom, ( ~class_Rings_Oring__1(_u9103) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9103), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u9103)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__0__eq__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__0__eq__iff-1, axiom, ( ~class_Int_Oring__char__0(_u9104) | ( c_Groups_Ozero__class_Ozero(_u9104) != hAPP(c_Int_Oring__1__class_Oof__int(_u9104), _u9105)) | ( _u9105 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57 cnf(fact_of__int__0__eq__iff-2, axiom, ( ~class_Int_Oring__char__0(_u9104) | ( _u9105 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u9104) = hAPP(c_Int_Oring__1__class_Oof__int(_u9104), _u9105)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__eq__0__iff-1, axiom, ( ~class_Int_Oring__char__0(_u9106) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9106), _u9107) != c_Groups_Ozero__class_Ozero(_u9106)) | ( _u9107 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57 cnf(fact_of__int__eq__0__iff-2, axiom, ( ~class_Int_Oring__char__0(_u9106) | ( _u9107 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9106), _u9107) = c_Groups_Ozero__class_Ozero(_u9106)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__le__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9108), hAPP(c_Int_Oring__1__class_Oof__int(_u9108), _u9109)), hAPP(c_Int_Oring__1__class_Oof__int(_u9108), _u9110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9109), _u9110)) )).
% 43.36/43.57 cnf(fact_of__int__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9109), _u9110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9108), hAPP(c_Int_Oring__1__class_Oof__int(_u9108), _u9109)), hAPP(c_Int_Oring__1__class_Oof__int(_u9108), _u9110))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__less__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9111), hAPP(c_Int_Oring__1__class_Oof__int(_u9111), _u9112)), hAPP(c_Int_Oring__1__class_Oof__int(_u9111), _u9113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9112), _u9113)) )).
% 43.36/43.57 cnf(fact_of__int__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9112), _u9113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9111), hAPP(c_Int_Oring__1__class_Oof__int(_u9111), _u9112)), hAPP(c_Int_Oring__1__class_Oof__int(_u9111), _u9113))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__add ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__add-1, axiom, ( ~class_Rings_Oring__1(_u9114) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9114), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9115), _u9116)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9114), hAPP(c_Int_Oring__1__class_Oof__int(_u9114), _u9115)), hAPP(c_Int_Oring__1__class_Oof__int(_u9114), _u9116))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__mult ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__mult-1, axiom, ( ~class_Rings_Oring__1(_u9117) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9118), _u9119)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9117), hAPP(c_Int_Oring__1__class_Oof__int(_u9117), _u9118)), hAPP(c_Int_Oring__1__class_Oof__int(_u9117), _u9119))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__1-1, axiom, ( ~class_Rings_Oring__1(_u9120) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9120), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u9120)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__diff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__diff-1, axiom, ( ~class_Rings_Oring__1(_u9121) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9121), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9122), _u9123)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9121), hAPP(c_Int_Oring__1__class_Oof__int(_u9121), _u9122)), hAPP(c_Int_Oring__1__class_Oof__int(_u9121), _u9123))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__of__nat__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__of__nat__eq-1, axiom, ( ~class_Rings_Oring__1(_u9124) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9124), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9125)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9124), _u9125)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__minus-1, axiom, ( ~class_Rings_Oring__1(_u9126) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9126), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9127)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9126), hAPP(c_Int_Oring__1__class_Oof__int(_u9126), _u9127))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Ints__of__int ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Ints__of__int-1, axiom, ( ~class_Rings_Oring__1(_u9128) | hBOOL(hAPP(hAPP(c_member(_u9128), hAPP(c_Int_Oring__1__class_Oof__int(_u9128), _u9129)), c_Int_Oring__1__class_OInts(_u9128))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__power ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__power-1, axiom, ( ~class_Rings_Oring__1(_u9130) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9130), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9131), _u9132)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9130), hAPP(c_Int_Oring__1__class_Oof__int(_u9130), _u9131)), _u9132)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__le__mono2 ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9133)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9133), _u9134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9135), _u9134)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9135), _u9133))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__mult__div__cancel1 ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9136)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9136), _u9137)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9136), _u9138)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9137), _u9138)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult__self__is__m ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9139)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9140), _u9139)), _u9139) = _u9140) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult__self1__is__m ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9141)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9141), _u9142)), _u9141) = _u9142) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__less__dividend ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9144), _u9143)), _u9144)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__setsum ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__setsum-1, axiom, ( ~class_Rings_Oring__1(_u9145) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9145), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9146, tc_Int_Oint), _u9147), _u9148)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9146, _u9145), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9145, _u9146), c_Int_Oring__1__class_Oof__int(_u9145)), _u9147)), _u9148)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__setprod ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__setprod-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u9149) | ~class_Rings_Oring__1(_u9149) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9149), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9150, tc_Int_Oint), _u9151), _u9152)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9150, _u9149), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9149, _u9150), c_Int_Oring__1__class_Oof__int(_u9149)), _u9151)), _u9152)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__geq ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9154), _u9153)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9154), _u9153) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9154), _u9153)), _u9153))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__if ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9155)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9156), _u9155)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9156), _u9155) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 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)), _u9155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9156), _u9155)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9156), _u9155) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9156), _u9155)), _u9155))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_split__div ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_split__div-1, axiom, ( ~hBOOL(hAPP(_u9164, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9166), _u9168))) | ( _u9168 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9164, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.57 cnf(fact_split__div-2, axiom, ( ~hBOOL(hAPP(_u9164, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9166), _u9168))) | ( _u9168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9157), _u9168)) | ( _u9166 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9168), _u9158)), _u9157)) | hBOOL(hAPP(_u9164, _u9158)) )).
% 43.36/43.57 cnf(fact_split__div-3, axiom, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ( _u9169 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem233(_u9169, _u9167, _u9165)), _u9169)) )).
% 43.36/43.57 cnf(fact_split__div-4, axiom, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ( _u9169 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9167 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9169), skolem232(_u9169, _u9167, _u9165))), skolem233(_u9169, _u9167, _u9165))) )).
% 43.36/43.57 cnf(fact_split__div-5, axiom, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ( _u9169 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9165, skolem232(_u9169, _u9167, _u9165))) )).
% 43.36/43.57 cnf(fact_split__div-6, axiom, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ~hBOOL(hAPP(_u9165, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9169 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_split__div-7, axiom, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ~hBOOL(hAPP(_u9165, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem233(_u9169, _u9167, _u9165)), _u9169)) )).
% 43.36/43.57 cnf(fact_split__div-8, axiom, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ~hBOOL(hAPP(_u9165, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9167 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9169), skolem232(_u9169, _u9167, _u9165))), skolem233(_u9169, _u9167, _u9165))) )).
% 43.36/43.57 cnf(fact_split__div-9, axiom, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ~hBOOL(hAPP(_u9165, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u9165, skolem232(_u9169, _u9167, _u9165))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__div__distrib ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9170)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9170), _u9171)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9170)), hAPP(c_Int_Onat, _u9171))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Divides_Otransfer__nat__int__functions_I1_J ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9172)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9173)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9172)), hAPP(c_Int_Onat, _u9173)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9172), _u9173))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__le__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__le__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9174), hAPP(c_Int_Oring__1__class_Oof__int(_u9174), _u9175)), c_Groups_Ozero__class_Ozero(_u9174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9175), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_of__int__le__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9175), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9174), hAPP(c_Int_Oring__1__class_Oof__int(_u9174), _u9175)), c_Groups_Ozero__class_Ozero(_u9174))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__0__le__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__0__le__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9176), c_Groups_Ozero__class_Ozero(_u9176)), hAPP(c_Int_Oring__1__class_Oof__int(_u9176), _u9177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9177)) )).
% 43.36/43.57 cnf(fact_of__int__0__le__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9176), c_Groups_Ozero__class_Ozero(_u9176)), hAPP(c_Int_Oring__1__class_Oof__int(_u9176), _u9177))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__less__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__less__0__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9178), hAPP(c_Int_Oring__1__class_Oof__int(_u9178), _u9179)), c_Groups_Ozero__class_Ozero(_u9178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9179), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_of__int__less__0__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9179), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9178), hAPP(c_Int_Oring__1__class_Oof__int(_u9178), _u9179)), c_Groups_Ozero__class_Ozero(_u9178))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__0__less__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__int__0__less__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u9180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9180), c_Groups_Ozero__class_Ozero(_u9180)), hAPP(c_Int_Oring__1__class_Oof__int(_u9180), _u9181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9181)) )).
% 43.36/43.57 cnf(fact_of__int__0__less__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u9180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9180), c_Groups_Ozero__class_Ozero(_u9180)), hAPP(c_Int_Oring__1__class_Oof__int(_u9180), _u9181))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__nat__nat ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__nat__nat-1, axiom, ( ~class_Rings_Oring__1(_u9182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9183)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9182), hAPP(c_Int_Onat, _u9183)) = hAPP(c_Int_Oring__1__class_Oof__int(_u9182), _u9183)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_le__div__geq ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9184), _u9185)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9185), _u9184) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9185), _u9184)), _u9184))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_split__div__lemma ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9186)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9186), _u9187)), _u9188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9186), hAPP(c_Nat_OSuc, _u9187)))) | ( _u9187 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9188), _u9186)) )).
% 43.36/43.57 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)), _u9186)) | ( _u9187 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9188), _u9186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9186), _u9187)), _u9188)) )).
% 43.36/43.57 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)), _u9186)) | ( _u9187 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9188), _u9186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9186), hAPP(c_Nat_OSuc, _u9187)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_split__div_H ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_split__div_H-1, axiom, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | ( _u9198 = 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), _u9198), skolem234(_u9198, _u9196, _u9194))), _u9196)) )).
% 43.36/43.57 cnf(fact_split__div_H-2, axiom, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | ( _u9198 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9198), hAPP(c_Nat_OSuc, skolem234(_u9198, _u9196, _u9194))))) )).
% 43.36/43.57 cnf(fact_split__div_H-3, axiom, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | ( _u9198 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9194, skolem234(_u9198, _u9196, _u9194))) )).
% 43.36/43.57 cnf(fact_split__div_H-4, axiom, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | hBOOL(hAPP(_u9194, 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), _u9198), skolem234(_u9198, _u9196, _u9194))), _u9196)) )).
% 43.36/43.57 cnf(fact_split__div_H-5, axiom, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | hBOOL(hAPP(_u9194, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9198), hAPP(c_Nat_OSuc, skolem234(_u9198, _u9196, _u9194))))) )).
% 43.36/43.57 cnf(fact_split__div_H-6, axiom, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | hBOOL(hAPP(_u9194, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u9194, skolem234(_u9198, _u9196, _u9194))) )).
% 43.36/43.57 cnf(fact_split__div_H-7, axiom, ( hBOOL(hAPP(_u9195, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9197), _u9199))) | ( _u9199 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9195, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.57 cnf(fact_split__div_H-8, axiom, ( hBOOL(hAPP(_u9195, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9197), _u9199))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9199), _u9190)), _u9197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9199), hAPP(c_Nat_OSuc, _u9190)))) | ~hBOOL(hAPP(_u9195, _u9190)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Nitpick_Onat__lcm__def ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Nitpick_Onat__lcm__def-1, axiom, ( ( c_Nitpick_Onat__lcm(_u9200, _u9201) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9200), _u9201)), c_Nitpick_Onat__gcd(_u9200, _u9201))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_field__le__mult__one__interval ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_field__le__mult__one__interval-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9203), _u9204), _u9205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9203), c_Groups_Ozero__class_Ozero(_u9203)), skolem235(_u9205, _u9204, _u9203))) )).
% 43.36/43.57 cnf(fact_field__le__mult__one__interval-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9203), _u9204), _u9205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9203), skolem235(_u9205, _u9204, _u9203)), c_Groups_Oone__class_Oone(_u9203))) )).
% 43.36/43.57 cnf(fact_field__le__mult__one__interval-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9203), _u9204), _u9205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9203), skolem235(_u9205, _u9204, _u9203)), _u9204)), _u9205)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_transfer__nat__int__sum__prod__cong_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9207) | ~class_Groups_Ocomm__monoid__mult(_u9207) | ( _u9208 != _u9209) | ~c_Nat__Transfer_Onat__set(_u9209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9207), _u9210), _u9208) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9207), _u9211), _u9209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem236(_u9211, _u9210, _u9209, _u9208, _u9207))) )).
% 43.36/43.57 cnf(fact_transfer__nat__int__sum__prod__cong_I2_J-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u9207) | ~class_Groups_Ocomm__monoid__mult(_u9207) | ( _u9208 != _u9209) | ~c_Nat__Transfer_Onat__set(_u9209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9207), _u9210), _u9208) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9207), _u9211), _u9209)) | ( hAPP(_u9210, skolem236(_u9211, _u9210, _u9209, _u9208, _u9207)) != hAPP(_u9211, skolem236(_u9211, _u9210, _u9209, _u9208, _u9207))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_split__pos__lemma ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9216)) | ~hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9212), _u9216)) | ( _u9218 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9216), _u9213)), _u9212)) | hBOOL(hAPP(hAPP(_u9217, _u9213), _u9212)) )).
% 43.36/43.57 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)), _u9216)) | hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem238(_u9218, _u9217, _u9216))) )).
% 43.36/43.57 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)), _u9216)) | hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem238(_u9218, _u9217, _u9216)), _u9216)) )).
% 43.36/43.57 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)), _u9216)) | hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | ( _u9218 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9216), skolem237(_u9218, _u9217, _u9216))), skolem238(_u9218, _u9217, _u9216))) )).
% 43.36/43.57 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)), _u9216)) | hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | ~hBOOL(hAPP(hAPP(_u9217, skolem237(_u9218, _u9217, _u9216)), skolem238(_u9218, _u9217, _u9216))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zpower__zmod ( axiom ) converted to clauses:
% 43.36/43.57 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, _u9219, _u9220)), _u9221), _u9220) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9219), _u9221), _u9220)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mod__trivial ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mod__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u9222) | ( c_Divides_Odiv__class_Omod(_u9222, c_Divides_Odiv__class_Omod(_u9222, _u9223, _u9224), _u9224) = c_Divides_Odiv__class_Omod(_u9222, _u9223, _u9224)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__diff__cong ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__diff__cong-1, axiom, ( ~class_Divides_Oring__div(_u9225) | ( c_Divides_Odiv__class_Omod(_u9225, _u9226, _u9227) != c_Divides_Odiv__class_Omod(_u9225, _u9228, _u9227)) | ( c_Divides_Odiv__class_Omod(_u9225, _u9229, _u9227) != c_Divides_Odiv__class_Omod(_u9225, _u9230, _u9227)) | ( c_Divides_Odiv__class_Omod(_u9225, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9225), _u9226), _u9229), _u9227) = c_Divides_Odiv__class_Omod(_u9225, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9225), _u9228), _u9230), _u9227)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__diff__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__diff__eq-1, axiom, ( ~class_Divides_Oring__div(_u9231) | ( c_Divides_Odiv__class_Omod(_u9231, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9231), _u9232), _u9233), _u9234) = c_Divides_Odiv__class_Omod(_u9231, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9231), c_Divides_Odiv__class_Omod(_u9231, _u9232, _u9234)), c_Divides_Odiv__class_Omod(_u9231, _u9233, _u9234)), _u9234)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__diff__left__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__diff__left__eq-1, axiom, ( ~class_Divides_Oring__div(_u9235) | ( c_Divides_Odiv__class_Omod(_u9235, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9235), _u9236), _u9237), _u9238) = c_Divides_Odiv__class_Omod(_u9235, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9235), c_Divides_Odiv__class_Omod(_u9235, _u9236, _u9238)), _u9237), _u9238)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__diff__right__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__diff__right__eq-1, axiom, ( ~class_Divides_Oring__div(_u9239) | ( c_Divides_Odiv__class_Omod(_u9239, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9239), _u9240), _u9241), _u9242) = c_Divides_Odiv__class_Omod(_u9239, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9239), _u9240), c_Divides_Odiv__class_Omod(_u9239, _u9241, _u9242)), _u9242)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__right__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9243) | ( c_Divides_Odiv__class_Omod(_u9243, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9243), _u9244), _u9245), _u9246) = c_Divides_Odiv__class_Omod(_u9243, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9243), _u9244), c_Divides_Odiv__class_Omod(_u9243, _u9245, _u9246)), _u9246)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__left__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9247) | ( c_Divides_Odiv__class_Omod(_u9247, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9247), _u9248), _u9249), _u9250) = c_Divides_Odiv__class_Omod(_u9247, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9247), c_Divides_Odiv__class_Omod(_u9247, _u9248, _u9250)), _u9249), _u9250)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9251) | ( c_Divides_Odiv__class_Omod(_u9251, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9251), _u9252), _u9253), _u9254) = c_Divides_Odiv__class_Omod(_u9251, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9251), c_Divides_Odiv__class_Omod(_u9251, _u9252, _u9254)), c_Divides_Odiv__class_Omod(_u9251, _u9253, _u9254)), _u9254)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__mult1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__mult1-1, axiom, ( ~class_Divides_Osemiring__div(_u9255) | ( c_Divides_Odiv__class_Omod(_u9255, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9255), _u9256), _u9257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9255), _u9256), _u9258)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9255), _u9256), c_Divides_Odiv__class_Omod(_u9255, _u9257, _u9258))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__mult2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__mult2-1, axiom, ( ~class_Divides_Osemiring__div(_u9259) | ( c_Divides_Odiv__class_Omod(_u9259, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9259), _u9260), _u9261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9259), _u9262), _u9261)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9259), c_Divides_Odiv__class_Omod(_u9259, _u9260, _u9262)), _u9261)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__simps_I4_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__simps_I4_J-1, axiom, ( ~class_Divides_Osemiring__div(_u9263) | ( c_Divides_Odiv__class_Omod(_u9263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9263), c_Divides_Odiv__class_Omod(_u9263, _u9264, _u9265)), _u9266), _u9265) = c_Divides_Odiv__class_Omod(_u9263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9263), _u9264), _u9266), _u9265)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__cong ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u9267) | ( c_Divides_Odiv__class_Omod(_u9267, _u9268, _u9269) != c_Divides_Odiv__class_Omod(_u9267, _u9270, _u9269)) | ( c_Divides_Odiv__class_Omod(_u9267, _u9271, _u9269) != c_Divides_Odiv__class_Omod(_u9267, _u9272, _u9269)) | ( c_Divides_Odiv__class_Omod(_u9267, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9267), _u9268), _u9271), _u9269) = c_Divides_Odiv__class_Omod(_u9267, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9267), _u9270), _u9272), _u9269)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__add__self2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__add__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9273) | ( c_Divides_Odiv__class_Omod(_u9273, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9273), _u9274), _u9275), _u9275) = c_Divides_Odiv__class_Omod(_u9273, _u9274, _u9275)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__add__self1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__add__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9276) | ( c_Divides_Odiv__class_Omod(_u9276, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9276), _u9277), _u9278), _u9277) = c_Divides_Odiv__class_Omod(_u9276, _u9278, _u9277)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__add__right__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__add__right__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9279) | ( c_Divides_Odiv__class_Omod(_u9279, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9279), _u9280), _u9281), _u9282) = c_Divides_Odiv__class_Omod(_u9279, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9279), _u9280), c_Divides_Odiv__class_Omod(_u9279, _u9281, _u9282)), _u9282)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__add__left__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__add__left__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9283) | ( c_Divides_Odiv__class_Omod(_u9283, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9283), _u9284), _u9285), _u9286) = c_Divides_Odiv__class_Omod(_u9283, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9283), c_Divides_Odiv__class_Omod(_u9283, _u9284, _u9286)), _u9285), _u9286)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__add__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__add__eq-1, axiom, ( ~class_Divides_Osemiring__div(_u9287) | ( c_Divides_Odiv__class_Omod(_u9287, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9287), _u9288), _u9289), _u9290) = c_Divides_Odiv__class_Omod(_u9287, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9287), c_Divides_Odiv__class_Omod(_u9287, _u9288, _u9290)), c_Divides_Odiv__class_Omod(_u9287, _u9289, _u9290)), _u9290)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__simps_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__simps_I2_J-1, axiom, ( ~class_Divides_Osemiring__div(_u9291) | ( c_Divides_Odiv__class_Omod(_u9291, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9291), _u9292), c_Divides_Odiv__class_Omod(_u9291, _u9293, _u9294)), _u9294) = c_Divides_Odiv__class_Omod(_u9291, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9291), _u9292), _u9293), _u9294)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__simps_I1_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__simps_I1_J-1, axiom, ( ~class_Divides_Osemiring__div(_u9295) | ( c_Divides_Odiv__class_Omod(_u9295, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9295), c_Divides_Odiv__class_Omod(_u9295, _u9296, _u9297)), _u9298), _u9297) = c_Divides_Odiv__class_Omod(_u9295, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9295), _u9296), _u9298), _u9297)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__add__cong ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__add__cong-1, axiom, ( ~class_Divides_Osemiring__div(_u9299) | ( c_Divides_Odiv__class_Omod(_u9299, _u9300, _u9301) != c_Divides_Odiv__class_Omod(_u9299, _u9302, _u9301)) | ( c_Divides_Odiv__class_Omod(_u9299, _u9303, _u9301) != c_Divides_Odiv__class_Omod(_u9299, _u9304, _u9301)) | ( c_Divides_Odiv__class_Omod(_u9299, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9299), _u9300), _u9303), _u9301) = c_Divides_Odiv__class_Omod(_u9299, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9299), _u9302), _u9304), _u9301)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__self ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__self-1, axiom, ( ~class_Divides_Osemiring__div(_u9305) | ( c_Divides_Odiv__class_Omod(_u9305, _u9306, _u9306) = c_Groups_Ozero__class_Ozero(_u9305)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__by__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__by__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9307) | ( c_Divides_Odiv__class_Omod(_u9307, _u9308, c_Groups_Ozero__class_Ozero(_u9307)) = _u9308) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9309) | ( c_Divides_Odiv__class_Omod(_u9309, c_Groups_Ozero__class_Ozero(_u9309), _u9310) = c_Groups_Ozero__class_Ozero(_u9309)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u9311) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__self ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__self-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9312, _u9312) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zmult1__eq ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9313), _u9314), _u9315) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9313), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9314, _u9315)), _u9315)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__simps_I3_J ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9316), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9317, _u9318)), _u9318) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9316), _u9317), _u9318)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiff__zmod__left ( axiom ) converted to clauses:
% 43.36/43.57 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, _u9319, _u9320)), _u9321), _u9320) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9319), _u9321), _u9320)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiff__zmod__right ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9322), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9323, _u9324)), _u9324) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9322), _u9323), _u9324)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Divides_Otransfer__int__nat__function__closures_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Divides_Otransfer__int__nat__function__closures_I2_J-1, axiom, ( ~c_Nat__Transfer_Ois__nat(_u9325) | ~c_Nat__Transfer_Ois__nat(_u9326) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9325, _u9326)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zminus2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__zminus2-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9327, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9328)) = 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), _u9327), _u9328))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__minus__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__minus__eq-1, axiom, ( ~class_Divides_Oring__div(_u9329) | ( c_Divides_Odiv__class_Omod(_u9329, hAPP(c_Groups_Ouminus__class_Ouminus(_u9329), _u9330), _u9331) = c_Divides_Odiv__class_Omod(_u9329, hAPP(c_Groups_Ouminus__class_Ouminus(_u9329), c_Divides_Odiv__class_Omod(_u9329, _u9330, _u9331)), _u9331)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zminus__zminus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__zminus__zminus-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9332), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9333)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9332, _u9333))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zminus__zmod ( axiom ) converted to clauses:
% 43.36/43.57 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, _u9334, _u9335)), _u9335) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9334), _u9335)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__minus__cong ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__minus__cong-1, axiom, ( ~class_Divides_Oring__div(_u9336) | ( c_Divides_Odiv__class_Omod(_u9336, _u9337, _u9338) != c_Divides_Odiv__class_Omod(_u9336, _u9339, _u9338)) | ( c_Divides_Odiv__class_Omod(_u9336, hAPP(c_Groups_Ouminus__class_Ouminus(_u9336), _u9337), _u9338) = c_Divides_Odiv__class_Omod(_u9336, hAPP(c_Groups_Ouminus__class_Ouminus(_u9336), _u9339), _u9338)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__self2__is__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__self2__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9340) | ( c_Divides_Odiv__class_Omod(_u9340, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9340), _u9341), _u9342), _u9342) = c_Groups_Ozero__class_Ozero(_u9340)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__self1__is__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__self1__is__0-1, axiom, ( ~class_Divides_Osemiring__div(_u9343) | ( c_Divides_Odiv__class_Omod(_u9343, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9343), _u9344), _u9345), _u9344) = c_Groups_Ozero__class_Ozero(_u9343)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__self2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__self2-1, axiom, ( ~class_Divides_Osemiring__div(_u9346) | ( c_Divides_Odiv__class_Omod(_u9346, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9346), _u9347), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9346), _u9348), _u9349)), _u9348) = c_Divides_Odiv__class_Omod(_u9346, _u9347, _u9348)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__self1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__self1-1, axiom, ( ~class_Divides_Osemiring__div(_u9350) | ( c_Divides_Odiv__class_Omod(_u9350, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9350), _u9351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9350), _u9352), _u9353)), _u9353) = c_Divides_Odiv__class_Omod(_u9350, _u9351, _u9353)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__by__1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__by__1-1, axiom, ( ~class_Divides_Osemiring__div(_u9354) | ( c_Divides_Odiv__class_Omod(_u9354, _u9355, c_Groups_Oone__class_Oone(_u9354)) = c_Groups_Ozero__class_Ozero(_u9354)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__div__trivial ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__div__trivial-1, axiom, ( ~class_Divides_Osemiring__div(_u9356) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9356), c_Divides_Odiv__class_Omod(_u9356, _u9357, _u9358)), _u9358) = c_Groups_Ozero__class_Ozero(_u9356)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__le__nonneg__dividend ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9359, _u9360)), _u9359)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Divides_Otransfer__nat__int__function__closures_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9362)) | 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, _u9361, _u9362))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__mod__bound ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__mod__bound-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9363), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9363), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9364, _u9363))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__mod__bound ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9366, _u9365)), _u9365)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9371, _u9373) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9371 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9373), skolem239(_u9373, _u9371))) )).
% 43.36/43.57 cnf(fact_zmod__eq__0__iff-2, axiom, ( ( _u9372 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9374), _u9368)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9372, _u9374) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zminus2__not__zero ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__zminus2__not__zero-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9375, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9376)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9375, _u9376) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zminus1__not__zero ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9377), _u9378) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9377, _u9378) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_DIVISION__BY__ZERO ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_DIVISION__BY__ZERO-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9380), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57 cnf(fact_DIVISION__BY__ZERO-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9381, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u9381) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zdiv__trivial ( axiom ) converted to clauses:
% 43.36/43.57 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, _u9382, _u9383)), _u9383) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zadd1__eq ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9384), _u9385)), _u9386) = 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), _u9384), _u9386)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9385), _u9386))), 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, _u9384, _u9386)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9385, _u9386))), _u9386))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_semiring__div__class_Omod__div__equality_H ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_semiring__div__class_Omod__div__equality_H-1, axiom, ( ~class_Divides_Osemiring__div(_u9387) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9387), c_Divides_Odiv__class_Omod(_u9387, _u9388, _u9389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9387), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9387), _u9388), _u9389)), _u9389)) = _u9388) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__div__equality2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__div__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u9390) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9390), _u9391), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9390), _u9392), _u9391))), c_Divides_Odiv__class_Omod(_u9390, _u9392, _u9391)) = _u9392) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__div__equality ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__div__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u9393) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9393), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9393), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9393), _u9394), _u9395)), _u9395)), c_Divides_Odiv__class_Omod(_u9393, _u9394, _u9395)) = _u9394) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mod__equality2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mod__equality2-1, axiom, ( ~class_Divides_Osemiring__div(_u9396) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9396), _u9397), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9396), _u9398), _u9397))), c_Divides_Odiv__class_Omod(_u9396, _u9398, _u9397))), _u9399) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9396), _u9398), _u9399)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mod__equality ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_div__mod__equality-1, axiom, ( ~class_Divides_Osemiring__div(_u9400) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9400), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9400), _u9401), _u9402)), _u9402)), c_Divides_Odiv__class_Omod(_u9400, _u9401, _u9402))), _u9403) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9400), _u9401), _u9403)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__neg__neg__trivial ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__neg__neg__trivial-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9404), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9405), _u9404)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9404, _u9405) = _u9404) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__mod__conj ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__mod__conj-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9406), 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, _u9407, _u9406)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_neg__mod__conj-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9406), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9406), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9407, _u9406))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_neg__mod__sign ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_neg__mod__sign-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9408), 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, _u9409, _u9408)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__pos__pos__trivial ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9410), _u9411)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9410, _u9411) = _u9410) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__mod__conj ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9412)) | 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, _u9413, _u9412))) )).
% 43.36/43.57 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)), _u9412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9413, _u9412)), _u9412)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_pos__mod__sign ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9414)) | 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, _u9415, _u9414))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zminus2__eq__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__zminus2__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9418, _u9420) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9418, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9420)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57 cnf(fact_zmod__zminus2__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9419, _u9421) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9419, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9421)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9419, _u9421)), _u9421)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zminus1__eq__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__zminus1__eq__if-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9424, _u9426) != 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), _u9424), _u9426) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57 cnf(fact_zmod__zminus1__eq__if-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9425, _u9427) = 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), _u9425), _u9427) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9427), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9425, _u9427))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zdiv__equality ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__zdiv__equality-1, axiom, ( ( _u9428 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9429), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9428), _u9429))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9428, _u9429))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zmult1__eq ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9430), _u9431)), _u9432) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9430), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9431), _u9432))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9430), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9431, _u9432))), _u9432))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zmod__equality ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9433), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9434), _u9433))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9434, _u9433))), _u9435) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9434), _u9435)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zmod__equality2 ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9436), _u9437)), _u9437)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9436, _u9437))), _u9438) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9436), _u9438)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmult__div__cancel ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9439), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9440), _u9439)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9440), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9440, _u9439))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zdiv__equality_H ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zmod__zdiv__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9441, _u9442) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9441), _u9442)), _u9442))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__pos__neg__trivial ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9443), _u9444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9443, _u9444) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9443), _u9444)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divmod__int__rel__mod__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divmod__int__rel__mod__eq-1, axiom, ( ( _u9445 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9446), _u9447)), _u9448)) | ( _u9446 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9445, _u9446) = _u9448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9446), _u9448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_divmod__int__rel__mod__eq-2, axiom, ( ( _u9445 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9446), _u9447)), _u9448)) | ( _u9446 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9445, _u9446) = _u9448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9448), _u9446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9446)) )).
% 43.36/43.57 cnf(fact_divmod__int__rel__mod__eq-3, axiom, ( ( _u9445 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9446), _u9447)), _u9448)) | ( _u9446 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9445, _u9446) = _u9448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9448), _u9446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9446), _u9448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmult2__lemma__aux2 ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9450), _u9451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9451), 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), _u9450), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9452, _u9449))), _u9451)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmult2__lemma__aux1 ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9454), _u9455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9455), 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), _u9454), _u9453)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9454), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9456, _u9453))), _u9455))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmult2__lemma__aux4 ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9458)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9458), _u9459)) | 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), _u9459), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9460, _u9457))), _u9458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9459), _u9457))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmult2__lemma__aux3 ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9461)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9462), _u9463)) | 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), _u9463), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9464, _u9461))), _u9462))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_split__zmod ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_split__zmod-1, axiom, ( ~hBOOL(hAPP(_u9476, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9478, _u9480))) | ( _u9480 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9476, _u9478)) )).
% 43.36/43.57 cnf(fact_split__zmod-2, axiom, ( ~hBOOL(hAPP(_u9476, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9478, _u9480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9465), _u9480)) | ( _u9478 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9480), _u9466)), _u9465)) | hBOOL(hAPP(_u9476, _u9465)) )).
% 43.36/43.57 cnf(fact_split__zmod-3, axiom, ( ~hBOOL(hAPP(_u9476, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9478, _u9480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9480), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9480), _u9467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9467), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9478 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9480), _u9468)), _u9467)) | hBOOL(hAPP(_u9476, _u9467)) )).
% 43.36/43.57 cnf(fact_split__zmod-4, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-5, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-6, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-7, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-8, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-9, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-10, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-11, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-12, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-13, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-14, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-15, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-16, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-17, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-18, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-19, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-20, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-21, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-22, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-23, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-24, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-25, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-26, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-27, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-28, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-29, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-30, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-31, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-32, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-33, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-34, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-35, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-36, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-37, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-38, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-39, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-40, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-41, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-42, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-43, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-44, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-45, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-46, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-47, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-48, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-49, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-50, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-51, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.36/43.57 cnf(fact_split__zmod-52, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57 cnf(fact_split__zmod-53, axiom, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__zmult2__eq ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9482)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9483, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9484), _u9482)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9484), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9483), _u9484), _u9482))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9483, _u9484))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zminus1__eq__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zdiv__zminus1__eq__if-1, axiom, ( ( _u9485 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9486, _u9485) != 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), _u9486)), _u9485) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9486), _u9485))) )).
% 43.36/43.57 cnf(fact_zdiv__zminus1__eq__if-2, axiom, ( ( _u9485 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9486, _u9485) = 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), _u9486)), _u9485) = 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), _u9486), _u9485))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zdiv__zminus2__eq__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zdiv__zminus2__eq__if-1, axiom, ( ( _u9487 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9488, _u9487) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9488), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9487)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9488), _u9487))) )).
% 43.36/43.57 cnf(fact_zdiv__zminus2__eq__if-2, axiom, ( ( _u9487 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9488, _u9487) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9488), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9487)) = 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), _u9488), _u9487))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_split__neg__lemma ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_split__neg__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9489), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9495 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9493), _u9490)), _u9489)) | hBOOL(hAPP(hAPP(_u9494, _u9490), _u9489)) )).
% 43.36/43.57 cnf(fact_split__neg__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), skolem245(_u9495, _u9494, _u9493))) )).
% 43.36/43.57 cnf(fact_split__neg__lemma-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem245(_u9495, _u9494, _u9493)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.57 cnf(fact_split__neg__lemma-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | ( _u9495 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9493), skolem244(_u9495, _u9494, _u9493))), skolem245(_u9495, _u9494, _u9493))) )).
% 43.36/43.57 cnf(fact_split__neg__lemma-5, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | ~hBOOL(hAPP(hAPP(_u9494, skolem244(_u9495, _u9494, _u9493)), skolem245(_u9495, _u9494, _u9493))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_z3mod__def ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9498)) | ( c_SMT_Oz3mod(_u9500, _u9498) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9500, _u9498)) )).
% 43.36/43.57 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)), _u9499)) | ( c_SMT_Oz3mod(_u9501, _u9499) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9501, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9499))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Nitpick_Oint__gcd__def ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Nitpick_Oint__gcd__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u9502), _u9503) = 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), _u9502)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9503))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__if-1, axiom, ( ~class_Groups_Osgn__if(_u9504) | ( _u9505 != c_Groups_Ozero__class_Ozero(_u9504)) | ( c_Groups_Osgn__class_Osgn(_u9504, _u9505) = c_Groups_Ozero__class_Ozero(_u9504)) )).
% 43.36/43.57 cnf(fact_sgn__if-2, axiom, ( ~class_Groups_Osgn__if(_u9504) | ( _u9505 = c_Groups_Ozero__class_Ozero(_u9504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9504), c_Groups_Ozero__class_Ozero(_u9504)), _u9505)) | ( c_Groups_Osgn__class_Osgn(_u9504, _u9505) = c_Groups_Oone__class_Oone(_u9504)) )).
% 43.36/43.57 cnf(fact_sgn__if-3, axiom, ( ~class_Groups_Osgn__if(_u9504) | ( _u9505 = c_Groups_Ozero__class_Ozero(_u9504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9504), c_Groups_Ozero__class_Ozero(_u9504)), _u9505)) | ( c_Groups_Osgn__class_Osgn(_u9504, _u9505) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9504), c_Groups_Oone__class_Oone(_u9504))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u9506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9506), _u9507), c_Groups_Ozero__class_Ozero(_u9506))) | ( c_Groups_Osgn__class_Osgn(_u9506, _u9507) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9506), c_Groups_Oone__class_Oone(_u9506))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__less__eq__dividend ( axiom ) converted to clauses:
% 43.36/43.57 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, _u9508, _u9509)), _u9508)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9510), _u9511)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9510, _u9511) = _u9510) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__Suc__eq__Suc__mod ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__Suc__eq__Suc__mod-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9512), _u9513) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9512, _u9513)), _u9513)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__distrib2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult__distrib2-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9514), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9515, _u9516)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9514), _u9515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9514), _u9516))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__distrib ( axiom ) converted to clauses:
% 43.36/43.57 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, _u9517, _u9518)), _u9519) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9517), _u9519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9518), _u9519))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__sgn ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u9520) | ( c_Groups_Osgn__class_Osgn(_u9520, c_Groups_Osgn__class_Osgn(_u9520, _u9521)) = c_Groups_Osgn__class_Osgn(_u9520, _u9521)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__0__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__0__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u9522) | ( c_Groups_Osgn__class_Osgn(_u9522, _u9523) != c_Groups_Ozero__class_Ozero(_u9522)) | ( _u9523 = c_Groups_Ozero__class_Ozero(_u9522)) )).
% 43.36/43.57 cnf(fact_sgn__0__0-2, axiom, ( ~class_Rings_Olinordered__idom(_u9522) | ( _u9523 != c_Groups_Ozero__class_Ozero(_u9522)) | ( c_Groups_Osgn__class_Osgn(_u9522, _u9523) = c_Groups_Ozero__class_Ozero(_u9522)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn0-1, axiom, ( ~class_Groups_Osgn__if(_u9524) | ( c_Groups_Osgn__class_Osgn(_u9524, c_Groups_Ozero__class_Ozero(_u9524)) = c_Groups_Ozero__class_Ozero(_u9524)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__times ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__times-1, axiom, ( ~class_Rings_Olinordered__idom(_u9525) | ( c_Groups_Osgn__class_Osgn(_u9525, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9525), _u9526), _u9527)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9525), c_Groups_Osgn__class_Osgn(_u9525, _u9526)), c_Groups_Osgn__class_Osgn(_u9525, _u9527))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__1-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9528, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__Suc ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__Suc-1, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9531, _u9533)) != _u9533) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9531), _u9533) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_mod__Suc-2, axiom, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9532, _u9534)) = _u9534) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9532), _u9534) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9532, _u9534))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__less__divisor ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9536, _u9535)), _u9535)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__eq__0__iff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__eq__0__iff-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9541, _u9543) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9541 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9543), skolem246(_u9543, _u9541))) )).
% 43.36/43.57 cnf(fact_mod__eq__0__iff-2, axiom, ( ( _u9542 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9544), _u9538)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9542, _u9544) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__if ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__if-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9547), _u9549)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9547, _u9549) = _u9547) )).
% 43.36/43.57 cnf(fact_mod__if-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9548), _u9550)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9548, _u9550) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9548), _u9550), _u9550)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__geq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__geq-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9551), _u9552)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9551, _u9552) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9551), _u9552), _u9552)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__self3 ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9553), _u9554)), _u9555), _u9554) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9555, _u9554)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_le__mod__geq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_le__mod__geq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9556), _u9557)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9557, _u9556) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9557), _u9556), _u9556)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zmod__int ( axiom ) converted to clauses:
% 43.36/43.57 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, _u9558, _u9559)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9558), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9559))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Divides_Otransfer__int__nat__functions_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9560), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9561)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9560, _u9561))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__add1__eq ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9562), _u9563)), _u9564) = 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), _u9562), _u9564)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9563), _u9564))), 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, _u9562, _u9564)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9563, _u9564))), _u9564))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__gcd_Osimps ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nat__gcd_Osimps-1, axiom, ( ( _u9567 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u9569, _u9567) = _u9569) )).
% 43.36/43.57 cnf(fact_nat__gcd_Osimps-2, axiom, ( ( _u9568 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u9570, _u9568) = c_Nitpick_Onat__gcd(_u9568, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9570, _u9568))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__le__divisor ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9572, _u9571)), _u9571)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult__self4 ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9573), _u9574)), _u9575)), _u9574) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9575), _u9574)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__less-1, axiom, ( ~class_Rings_Olinordered__idom(_u9576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), c_Groups_Osgn__class_Osgn(_u9576, _u9577)), c_Groups_Ozero__class_Ozero(_u9576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), _u9577), c_Groups_Ozero__class_Ozero(_u9576))) )).
% 43.36/43.57 cnf(fact_sgn__less-2, axiom, ( ~class_Rings_Olinordered__idom(_u9576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), _u9577), c_Groups_Ozero__class_Ozero(_u9576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), c_Groups_Osgn__class_Osgn(_u9576, _u9577)), c_Groups_Ozero__class_Ozero(_u9576))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__greater ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__greater-1, axiom, ( ~class_Rings_Olinordered__idom(_u9578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), c_Groups_Osgn__class_Osgn(_u9578, _u9579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), _u9579)) )).
% 43.36/43.57 cnf(fact_sgn__greater-2, axiom, ( ~class_Rings_Olinordered__idom(_u9578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), _u9579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), c_Groups_Osgn__class_Osgn(_u9578, _u9579))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__mult2__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__mult2__eq-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9580, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9581), _u9582)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9581), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9580), _u9581), _u9582))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9580, _u9581))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mult1__eq ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9583), _u9584)), _u9585) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9583), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9584), _u9585))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9583), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9584, _u9585))), _u9585))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Divides_Omod__div__equality_H ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Divides_Omod__div__equality_H-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9586, _u9587) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9586), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9586), _u9587)), _u9587))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mult__div__cancel ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mult__div__cancel-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9588), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9589), _u9588)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9589), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9589, _u9588))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_div__mod__equality_H ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9590), _u9591)), _u9591) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9590), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9590, _u9591))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mult__sgn__abs ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mult__sgn__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u9592) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9592), c_Groups_Osgn__class_Osgn(_u9592, _u9593)), hAPP(c_Groups_Oabs__class_Oabs(_u9592), _u9593)) = _u9593) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_abs__sgn ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_abs__sgn-1, axiom, ( ~class_Rings_Olinordered__idom(_u9594) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9594), _u9595) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9594), _u9595), c_Groups_Osgn__class_Osgn(_u9594, _u9595))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_split__mod ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_split__mod-1, axiom, ( ~hBOOL(hAPP(_u9603, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9605, _u9607))) | ( _u9607 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9603, _u9605)) )).
% 43.36/43.57 cnf(fact_split__mod-2, axiom, ( ~hBOOL(hAPP(_u9603, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9605, _u9607))) | ( _u9607 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9596), _u9607)) | ( _u9605 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9607), _u9597)), _u9596)) | hBOOL(hAPP(_u9603, _u9596)) )).
% 43.36/43.57 cnf(fact_split__mod-3, axiom, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ( _u9608 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem248(_u9608, _u9606, _u9604)), _u9608)) )).
% 43.36/43.57 cnf(fact_split__mod-4, axiom, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ( _u9608 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9606 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9608), skolem247(_u9608, _u9606, _u9604))), skolem248(_u9608, _u9606, _u9604))) )).
% 43.36/43.57 cnf(fact_split__mod-5, axiom, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ( _u9608 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9604, skolem248(_u9608, _u9606, _u9604))) )).
% 43.36/43.57 cnf(fact_split__mod-6, axiom, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ~hBOOL(hAPP(_u9604, _u9606)) | ( _u9608 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57 cnf(fact_split__mod-7, axiom, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ~hBOOL(hAPP(_u9604, _u9606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem248(_u9608, _u9606, _u9604)), _u9608)) )).
% 43.36/43.57 cnf(fact_split__mod-8, axiom, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ~hBOOL(hAPP(_u9604, _u9606)) | ( _u9606 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9608), skolem247(_u9608, _u9606, _u9604))), skolem248(_u9608, _u9606, _u9604))) )).
% 43.36/43.57 cnf(fact_split__mod-9, axiom, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ~hBOOL(hAPP(_u9604, _u9606)) | ~hBOOL(hAPP(_u9604, skolem248(_u9608, _u9606, _u9604))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__lemma ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9610), _u9611)) | 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), _u9611), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9612, _u9609))), _u9610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9611), _u9609))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Suc__times__mod__eq ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9613)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9613), _u9614)), _u9613) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__mod__distrib ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9616)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9615, _u9616)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9615), hAPP(c_Int_Onat, _u9616))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Divides_Otransfer__nat__int__functions_I2_J ( axiom ) converted to clauses:
% 43.36/43.57 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)), _u9617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9618)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9617), hAPP(c_Int_Onat, _u9618)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9617, _u9618))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__pos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u9619) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9619), c_Groups_Ozero__class_Ozero(_u9619)), _u9620)) | ( c_Groups_Osgn__class_Osgn(_u9619, _u9620) = c_Groups_Oone__class_Oone(_u9619)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__1__pos ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__1__pos-1, axiom, ( ~class_Rings_Olinordered__idom(_u9621) | ( c_Groups_Osgn__class_Osgn(_u9621, _u9622) != c_Groups_Oone__class_Oone(_u9621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9621), c_Groups_Ozero__class_Ozero(_u9621)), _u9622)) )).
% 43.36/43.57 cnf(fact_sgn__1__pos-2, axiom, ( ~class_Rings_Olinordered__idom(_u9621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9621), c_Groups_Ozero__class_Ozero(_u9621)), _u9622)) | ( c_Groups_Osgn__class_Osgn(_u9621, _u9622) = c_Groups_Oone__class_Oone(_u9621)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_zsgn__def ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_zsgn__def-1, axiom, ( ( _u9624 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9624) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.57 cnf(fact_zsgn__def-2, axiom, ( ( _u9625 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9625)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9625) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.36/43.57 cnf(fact_zsgn__def-3, axiom, ( ( _u9625 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9625)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9625) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_sgn__1__neg ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_sgn__1__neg-1, axiom, ( ~class_Rings_Olinordered__idom(_u9626) | ( c_Groups_Osgn__class_Osgn(_u9626, _u9627) != hAPP(c_Groups_Ouminus__class_Ouminus(_u9626), c_Groups_Oone__class_Oone(_u9626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9626), _u9627), c_Groups_Ozero__class_Ozero(_u9626))) )).
% 43.36/43.57 cnf(fact_sgn__1__neg-2, axiom, ( ~class_Rings_Olinordered__idom(_u9626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9626), _u9627), c_Groups_Ozero__class_Ozero(_u9626))) | ( c_Groups_Osgn__class_Osgn(_u9626, _u9627) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9626), c_Groups_Oone__class_Oone(_u9626))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_setprod__pos__nat ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_setprod__pos__nat-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9629), _u9630)) | 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(_u9629, tc_Nat_Onat), _u9631), _u9630))) | hBOOL(hAPP(hAPP(c_member(_u9629), skolem249(_u9631, _u9630, _u9629)), _u9630)) )).
% 43.36/43.57 cnf(fact_setprod__pos__nat-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9629), _u9630)) | 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(_u9629, tc_Nat_Onat), _u9631), _u9630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u9631, skolem249(_u9631, _u9630, _u9629)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_card__quotient__disjoint ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_card__quotient__disjoint-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9632), _u9633)) | ~c_Fun_Oinj__on(_u9632, tc_fun(tc_fun(_u9632, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u9632, tc_fun(tc_prod(_u9632, _u9632), tc_HOL_Obool), tc_fun(tc_fun(_u9632, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9632, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u9632, _u9632), tc_HOL_Obool), tc_fun(tc_fun(_u9632, tc_HOL_Obool), tc_HOL_Obool)), _u9632), c_Equiv__Relations_Oquotient(_u9632)), hAPP(hAPP(c_COMBC(_u9632, tc_fun(_u9632, tc_HOL_Obool), tc_fun(_u9632, tc_HOL_Obool)), c_Set_Oinsert(_u9632)), c_Orderings_Obot__class_Obot(tc_fun(_u9632, tc_HOL_Obool))))), _u9634), _u9633) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u9632, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9632), _u9633), _u9634)) = hAPP(c_Finite__Set_Ocard(_u9632), _u9633)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_card_Oneutral ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_card_Oneutral-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), _u9637)) | ( hAPP(c_Finite__Set_Ocard(_u9636), _u9637) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9636), skolem250(_u9637, _u9636)), _u9637)) )).
% 43.36/43.57 cnf(fact_card_Oneutral-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), _u9637)) | ( hAPP(c_Finite__Set_Ocard(_u9636), _u9637) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_fold__image__cong ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_fold__image__cong-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u9639) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9640), _u9641)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9639, _u9640, c_Groups_Otimes__class_Otimes(_u9639)), _u9642), _u9644), _u9641) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9639, _u9640, c_Groups_Otimes__class_Otimes(_u9639)), _u9643), _u9644), _u9641)) | hBOOL(hAPP(hAPP(c_member(_u9640), skolem251(_u9644, _u9643, _u9642, _u9641, _u9640, _u9639)), _u9641)) )).
% 43.36/43.57 cnf(fact_fold__image__cong-2, axiom, ( ~class_Groups_Oab__semigroup__mult(_u9639) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9640), _u9641)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9639, _u9640, c_Groups_Otimes__class_Otimes(_u9639)), _u9642), _u9644), _u9641) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9639, _u9640, c_Groups_Otimes__class_Otimes(_u9639)), _u9643), _u9644), _u9641)) | ( hAPP(_u9642, skolem251(_u9644, _u9643, _u9642, _u9641, _u9640, _u9639)) != hAPP(_u9643, skolem251(_u9644, _u9643, _u9642, _u9641, _u9640, _u9639))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_quotient__empty ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_quotient__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9645), c_Orderings_Obot__class_Obot(tc_fun(_u9645, tc_HOL_Obool))), _u9646) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9645, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_quotient__is__empty2 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_quotient__is__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9650, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9650), _u9652), _u9654)) | ( _u9652 = c_Orderings_Obot__class_Obot(tc_fun(_u9650, tc_HOL_Obool))) )).
% 43.36/43.57 cnf(fact_quotient__is__empty2-2, axiom, ( ( _u9653 != c_Orderings_Obot__class_Obot(tc_fun(_u9651, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9651, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9651), _u9653), _u9655)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_quotient__is__empty ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_quotient__is__empty-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9659), _u9661), _u9663) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9659, tc_HOL_Obool), tc_HOL_Obool))) | ( _u9661 = c_Orderings_Obot__class_Obot(tc_fun(_u9659, tc_HOL_Obool))) )).
% 43.36/43.57 cnf(fact_quotient__is__empty-2, axiom, ( ( _u9662 != c_Orderings_Obot__class_Obot(tc_fun(_u9660, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9660), _u9662), _u9664) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9660, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_quotient__diff1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_quotient__diff1-1, axiom, ( ~c_Fun_Oinj__on(_u9665, tc_fun(tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u9665, tc_fun(tc_prod(_u9665, _u9665), tc_HOL_Obool), tc_fun(tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9665, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u9665, _u9665), tc_HOL_Obool), tc_fun(tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool)), _u9665), c_Equiv__Relations_Oquotient(_u9665)), hAPP(hAPP(c_COMBC(_u9665, tc_fun(_u9665, tc_HOL_Obool), tc_fun(_u9665, tc_HOL_Obool)), c_Set_Oinsert(_u9665)), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))))), _u9666), _u9667) | ~hBOOL(hAPP(hAPP(c_member(_u9665), _u9668), _u9667)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9665, tc_HOL_Obool)), _u9667), hAPP(hAPP(c_Set_Oinsert(_u9665), _u9668), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))))), _u9666) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9665), _u9667), _u9666)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9665), hAPP(hAPP(c_Set_Oinsert(_u9665), _u9668), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool)))), _u9666))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_quotient__def ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_quotient__def-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9669), _u9670), _u9671) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9669, tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool)), _u9670), hAPP(hAPP(c_COMBC(_u9669, tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9669, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool)), _u9669), c_Set_Oinsert(tc_fun(_u9669, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9669, tc_HOL_Obool), tc_fun(_u9669, tc_HOL_Obool), _u9669), c_Relation_OImage(_u9669, _u9669, _u9671)), hAPP(hAPP(c_COMBC(_u9669, tc_fun(_u9669, tc_HOL_Obool), tc_fun(_u9669, tc_HOL_Obool)), c_Set_Oinsert(_u9669)), c_Orderings_Obot__class_Obot(tc_fun(_u9669, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_singleton__quotient ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_singleton__quotient-1, axiom, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9672), hAPP(hAPP(c_Set_Oinsert(_u9672), _u9673), c_Orderings_Obot__class_Obot(tc_fun(_u9672, tc_HOL_Obool)))), _u9674) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9672, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9672, _u9672, _u9674), hAPP(hAPP(c_Set_Oinsert(_u9672), _u9673), c_Orderings_Obot__class_Obot(tc_fun(_u9672, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9672, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_quotientI ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_quotientI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u9675), _u9676), _u9677)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9675, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9675, _u9675, _u9678), hAPP(hAPP(c_Set_Oinsert(_u9675), _u9676), c_Orderings_Obot__class_Obot(tc_fun(_u9675, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9675), _u9677), _u9678))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_nat__mod__eq__lemma ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_nat__mod__eq__lemma-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9680, _u9681) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9682, _u9681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9682), _u9680)) | ( _u9680 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9681), skolem252(_u9682, _u9681, _u9680)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Image__eq__UN ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Image__eq__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u9683, _u9684, _u9685), _u9686) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9683, tc_fun(_u9684, tc_HOL_Obool)), _u9686), hAPP(hAPP(c_COMBB(tc_fun(_u9683, tc_HOL_Obool), tc_fun(_u9684, tc_HOL_Obool), _u9683), c_Relation_OImage(_u9683, _u9684, _u9685)), hAPP(hAPP(c_COMBC(_u9683, tc_fun(_u9683, tc_HOL_Obool), tc_fun(_u9683, tc_HOL_Obool)), c_Set_Oinsert(_u9683)), c_Orderings_Obot__class_Obot(tc_fun(_u9683, tc_HOL_Obool)))))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Image__Int__subset ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Image__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9687, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9688, _u9687, _u9689), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9688, tc_HOL_Obool)), _u9690), _u9691))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9687, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9688, _u9687, _u9689), _u9690)), hAPP(c_Relation_OImage(_u9688, _u9687, _u9689), _u9691)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Image__UN ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Image__UN-1, axiom, ( ( hAPP(c_Relation_OImage(_u9692, _u9693, _u9694), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9692, tc_HOL_Obool)), _u9696), _u9697)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9696), hAPP(hAPP(c_COMBB(tc_fun(_u9692, tc_HOL_Obool), tc_fun(_u9693, tc_HOL_Obool), _u9695), c_Relation_OImage(_u9692, _u9693, _u9694)), _u9697))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_quotientE ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_quotientE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9699, tc_HOL_Obool)), _u9700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9699), _u9701), _u9702))) | ( _u9700 = hAPP(c_Relation_OImage(_u9699, _u9699, _u9702), hAPP(hAPP(c_Set_Oinsert(_u9699), skolem253(_u9702, _u9701, _u9700, _u9699)), c_Orderings_Obot__class_Obot(tc_fun(_u9699, tc_HOL_Obool))))) )).
% 43.36/43.57 cnf(fact_quotientE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9699, tc_HOL_Obool)), _u9700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9699), _u9701), _u9702))) | hBOOL(hAPP(hAPP(c_member(_u9699), skolem253(_u9702, _u9701, _u9700, _u9699)), _u9701)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Image__empty ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Image__empty-1, axiom, ( ( hAPP(c_Relation_OImage(_u9703, _u9704, _u9705), c_Orderings_Obot__class_Obot(tc_fun(_u9703, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9704, tc_HOL_Obool))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Image__mono ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Image__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9706, _u9707), tc_HOL_Obool)), _u9708), _u9709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9706, tc_HOL_Obool)), _u9710), _u9711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9707, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9706, _u9707, _u9708), _u9710)), hAPP(c_Relation_OImage(_u9706, _u9707, _u9709), _u9711))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Un__Image ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Un__Image-1, axiom, ( ( hAPP(c_Relation_OImage(_u9712, _u9713, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9712, _u9713), tc_HOL_Obool)), _u9714), _u9715)), _u9716) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9713, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9712, _u9713, _u9714), _u9716)), hAPP(c_Relation_OImage(_u9712, _u9713, _u9715), _u9716))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Image__Un ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Image__Un-1, axiom, ( ( hAPP(c_Relation_OImage(_u9717, _u9718, _u9719), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9717, tc_HOL_Obool)), _u9720), _u9721)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9718, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9717, _u9718, _u9719), _u9720)), hAPP(c_Relation_OImage(_u9717, _u9718, _u9719), _u9721))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mod__induct__0 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mod__induct__0-1, axiom, ( ~hBOOL(hAPP(_u9724, _u9725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9725), _u9723)) | hBOOL(hAPP(_u9724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem254(_u9725, _u9724, _u9723)), _u9723)) )).
% 43.36/43.57 cnf(fact_mod__induct__0-2, axiom, ( ~hBOOL(hAPP(_u9724, _u9725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9725), _u9723)) | hBOOL(hAPP(_u9724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u9724, skolem254(_u9725, _u9724, _u9723))) )).
% 43.36/43.57 cnf(fact_mod__induct__0-3, axiom, ( ~hBOOL(hAPP(_u9724, _u9725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9725), _u9723)) | hBOOL(hAPP(_u9724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u9724, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem254(_u9725, _u9724, _u9723)), _u9723))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Max__eqI ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Max__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u9727) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), _u9728)) | ~hBOOL(hAPP(hAPP(c_member(_u9727), _u9729), _u9728)) | ( c_Big__Operators_Olinorder__class_OMax(_u9727, _u9728) = _u9729) | hBOOL(hAPP(hAPP(c_member(_u9727), skolem255(_u9729, _u9728, _u9727)), _u9728)) )).
% 43.36/43.57 cnf(fact_Max__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u9727) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), _u9728)) | ~hBOOL(hAPP(hAPP(c_member(_u9727), _u9729), _u9728)) | ( c_Big__Operators_Olinorder__class_OMax(_u9727, _u9728) = _u9729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9727), skolem255(_u9729, _u9728, _u9727)), _u9729)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Min__eqI ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Min__eqI-1, axiom, ( ~class_Orderings_Olinorder(_u9731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9731), _u9732)) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9733), _u9732)) | ( c_Big__Operators_Olinorder__class_OMin(_u9731, _u9732) = _u9733) | hBOOL(hAPP(hAPP(c_member(_u9731), skolem256(_u9733, _u9732, _u9731)), _u9732)) )).
% 43.36/43.57 cnf(fact_Min__eqI-2, axiom, ( ~class_Orderings_Olinorder(_u9731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9731), _u9732)) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9733), _u9732)) | ( c_Big__Operators_Olinorder__class_OMin(_u9731, _u9732) = _u9733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9731), _u9733), skolem256(_u9733, _u9732, _u9731))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_expand__Suc ( axiom ) converted to clauses:
% 43.36/43.57 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), _u9734))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9734) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9734)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_number__of__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u9735) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9735), _u9736) = hAPP(c_Int_Oring__1__class_Oof__int(_u9735), _u9736)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__int__number__of__eq ( axiom ) converted to clauses:
% 43.36/43.57 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)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_less__by__empty ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_less__by__empty-1, axiom, ( ( _u9739 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9740, _u9740), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9740, _u9740), tc_HOL_Obool)), _u9739), _u9741)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_number__of__reorient ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_number__of__reorient-1, axiom, ( ~class_Int_Onumber(_u9742) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9742), _u9743) != _u9744) | ( _u9744 = hAPP(c_Int_Onumber__class_Onumber__of(_u9742), _u9743)) )).
% 43.36/43.57 cnf(fact_number__of__reorient-2, axiom, ( ~class_Int_Onumber(_u9742) | ( _u9744 != hAPP(c_Int_Onumber__class_Onumber__of(_u9742), _u9743)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9742), _u9743) = _u9744) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_eq__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_eq__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u9745) | ~class_Int_Oring__char__0(_u9745) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9745), _u9746) != hAPP(c_Int_Onumber__class_Onumber__of(_u9745), _u9747)) | ( _u9746 = _u9747) )).
% 43.36/43.57 cnf(fact_eq__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u9745) | ~class_Int_Oring__char__0(_u9745) | ( _u9746 != _u9747) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9745), _u9746) = hAPP(c_Int_Onumber__class_Onumber__of(_u9745), _u9747)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__nat__number__of__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__nat__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u9748) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9749))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9748), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9749)) = c_Groups_Ozero__class_Ozero(_u9748)) )).
% 43.36/43.57 cnf(fact_of__nat__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u9748) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9749))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9748), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9749)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9748), _u9749)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_of__nat__number__of__lemma ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_of__nat__number__of__lemma-1, axiom, ( ~class_Int_Onumber__ring(_u9750) | ~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), _u9751))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9750), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9751)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9750), _u9751)) )).
% 43.36/43.57 cnf(fact_of__nat__number__of__lemma-2, axiom, ( ~class_Int_Onumber__ring(_u9750) | 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), _u9751))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9750), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9751)) = c_Groups_Ozero__class_Ozero(_u9750)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_le__number__of__eq__not__less ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_le__number__of__eq__not__less-1, axiom, ( ~class_Int_Onumber(_u9752) | ~class_Orderings_Olinorder(_u9752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9752), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9753)), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9754))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9752), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9754)), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9753))) )).
% 43.36/43.57 cnf(fact_le__number__of__eq__not__less-2, axiom, ( ~class_Int_Onumber(_u9752) | ~class_Orderings_Olinorder(_u9752) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9752), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9754)), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9753))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9752), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9753)), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9754))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_left__distrib__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_left__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u9755) | ~class_Rings_Osemiring(_u9755) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9755), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9755), _u9756), _u9757)), hAPP(c_Int_Onumber__class_Onumber__of(_u9755), _u9758)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9755), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9755), _u9756), hAPP(c_Int_Onumber__class_Onumber__of(_u9755), _u9758))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9755), _u9757), hAPP(c_Int_Onumber__class_Onumber__of(_u9755), _u9758)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_right__distrib__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_right__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u9759) | ~class_Rings_Osemiring(_u9759) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9759), hAPP(c_Int_Onumber__class_Onumber__of(_u9759), _u9760)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9759), _u9761), _u9762)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9759), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9759), hAPP(c_Int_Onumber__class_Onumber__of(_u9759), _u9760)), _u9761)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9759), hAPP(c_Int_Onumber__class_Onumber__of(_u9759), _u9760)), _u9762))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_left__diff__distrib__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_left__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u9763) | ~class_Rings_Oring(_u9763) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9763), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9763), _u9764), _u9765)), hAPP(c_Int_Onumber__class_Onumber__of(_u9763), _u9766)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9763), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9763), _u9764), hAPP(c_Int_Onumber__class_Onumber__of(_u9763), _u9766))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9763), _u9765), hAPP(c_Int_Onumber__class_Onumber__of(_u9763), _u9766)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_right__diff__distrib__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_right__diff__distrib__number__of-1, axiom, ( ~class_Int_Onumber(_u9767) | ~class_Rings_Oring(_u9767) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9767), hAPP(c_Int_Onumber__class_Onumber__of(_u9767), _u9768)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9767), _u9769), _u9770)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9767), hAPP(c_Int_Onumber__class_Onumber__of(_u9767), _u9768)), _u9769)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9767), hAPP(c_Int_Onumber__class_Onumber__of(_u9767), _u9768)), _u9770))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_le__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_le__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u9771) | ~class_Rings_Olinordered__idom(_u9771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9771), hAPP(c_Int_Onumber__class_Onumber__of(_u9771), _u9772)), hAPP(c_Int_Onumber__class_Onumber__of(_u9771), _u9773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9772), _u9773)) )).
% 43.36/43.57 cnf(fact_le__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u9771) | ~class_Rings_Olinordered__idom(_u9771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9772), _u9773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9771), hAPP(c_Int_Onumber__class_Onumber__of(_u9771), _u9772)), hAPP(c_Int_Onumber__class_Onumber__of(_u9771), _u9773))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_less__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_less__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u9774) | ~class_Rings_Olinordered__idom(_u9774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9774), hAPP(c_Int_Onumber__class_Onumber__of(_u9774), _u9775)), hAPP(c_Int_Onumber__class_Onumber__of(_u9774), _u9776))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9775), _u9776)) )).
% 43.36/43.57 cnf(fact_less__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u9774) | ~class_Rings_Olinordered__idom(_u9774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9775), _u9776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9774), hAPP(c_Int_Onumber__class_Onumber__of(_u9774), _u9775)), hAPP(c_Int_Onumber__class_Onumber__of(_u9774), _u9776))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_min__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_min__number__of-1, axiom, ( ~class_Int_Onumber(_u9777) | ~class_Orderings_Oord(_u9777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9777), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9777), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)) )).
% 43.36/43.57 cnf(fact_min__number__of-2, axiom, ( ~class_Int_Onumber(_u9777) | ~class_Orderings_Oord(_u9777) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9777), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9777), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_max__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_max__number__of-1, axiom, ( ~class_Int_Onumber(_u9780) | ~class_Orderings_Oord(_u9780) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9780), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9780), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782)) )).
% 43.36/43.57 cnf(fact_max__number__of-2, axiom, ( ~class_Int_Onumber(_u9780) | ~class_Orderings_Oord(_u9780) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9780), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9780), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_number__of__add ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_number__of__add-1, axiom, ( ~class_Int_Onumber__ring(_u9783) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9783), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9784), _u9785)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9783), hAPP(c_Int_Onumber__class_Onumber__of(_u9783), _u9784)), hAPP(c_Int_Onumber__class_Onumber__of(_u9783), _u9785))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_add__number__of__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_add__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u9786) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9786), hAPP(c_Int_Onumber__class_Onumber__of(_u9786), _u9787)), hAPP(c_Int_Onumber__class_Onumber__of(_u9786), _u9788)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9786), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9787), _u9788))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_add__number__of__left ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_add__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u9789) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9789), hAPP(c_Int_Onumber__class_Onumber__of(_u9789), _u9790)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9789), hAPP(c_Int_Onumber__class_Onumber__of(_u9789), _u9791)), _u9792)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9789), hAPP(c_Int_Onumber__class_Onumber__of(_u9789), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9790), _u9791))), _u9792)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_number__of__mult ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u9793) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9794), _u9795)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9793), hAPP(c_Int_Onumber__class_Onumber__of(_u9793), _u9794)), hAPP(c_Int_Onumber__class_Onumber__of(_u9793), _u9795))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_arith__simps_I32_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_arith__simps_I32_J-1, axiom, ( ~class_Int_Onumber__ring(_u9796) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), hAPP(c_Int_Onumber__class_Onumber__of(_u9796), _u9797)), hAPP(c_Int_Onumber__class_Onumber__of(_u9796), _u9798)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9797), _u9798))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_mult__number__of__left ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_mult__number__of__left-1, axiom, ( ~class_Int_Onumber__ring(_u9799) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9799), hAPP(c_Int_Onumber__class_Onumber__of(_u9799), _u9800)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9799), hAPP(c_Int_Onumber__class_Onumber__of(_u9799), _u9801)), _u9802)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9799), hAPP(c_Int_Onumber__class_Onumber__of(_u9799), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9800), _u9801))), _u9802)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_number__of__diff ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_number__of__diff-1, axiom, ( ~class_Int_Onumber__ring(_u9803) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9803), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9804), _u9805)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9803), hAPP(c_Int_Onumber__class_Onumber__of(_u9803), _u9804)), hAPP(c_Int_Onumber__class_Onumber__of(_u9803), _u9805))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_arith__simps_I30_J ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_arith__simps_I30_J-1, axiom, ( ~class_Int_Onumber__ring(_u9806) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9806), hAPP(c_Int_Onumber__class_Onumber__of(_u9806), _u9807)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9806), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9807))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_number__of__minus ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_number__of__minus-1, axiom, ( ~class_Int_Onumber__ring(_u9808) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9808), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9809)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9808), hAPP(c_Int_Onumber__class_Onumber__of(_u9808), _u9809))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_Ints__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_Ints__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u9810) | hBOOL(hAPP(hAPP(c_member(_u9810), hAPP(c_Int_Onumber__class_Onumber__of(_u9810), _u9811)), c_Int_Oring__1__class_OInts(_u9810))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__eq__eq__number__of1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) != _u9815) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814) = c_Groups_Ozero__class_Ozero(_u9812)) | ( _u9813 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9812), _u9815), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814))) )).
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) != _u9815) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814) != c_Groups_Ozero__class_Ozero(_u9812)) | ( _u9815 = c_Groups_Ozero__class_Ozero(_u9812)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) = _u9815) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814) != c_Groups_Ozero__class_Ozero(_u9812)) | ( _u9815 != c_Groups_Ozero__class_Ozero(_u9812)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) = _u9815) | ( _u9813 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9812), _u9815), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814) = c_Groups_Ozero__class_Ozero(_u9812)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) = _u9815) | ( _u9813 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9812), _u9815), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814))) | ( _u9815 != c_Groups_Ozero__class_Ozero(_u9812)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__eq__eq__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) != hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9818 = c_Groups_Ozero__class_Ozero(_u9816)) | ( _u9817 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9816), hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)), _u9818)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) != hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9818 != c_Groups_Ozero__class_Ozero(_u9816)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819) = c_Groups_Ozero__class_Ozero(_u9816)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) = hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9818 != c_Groups_Ozero__class_Ozero(_u9816)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819) != c_Groups_Ozero__class_Ozero(_u9816)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) = hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9817 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9816), hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)), _u9818)) | ( _u9818 = c_Groups_Ozero__class_Ozero(_u9816)) )).
% 43.36/43.57 cnf(fact_divide__eq__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) = hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9817 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9816), hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)), _u9818)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819) != c_Groups_Ozero__class_Ozero(_u9816)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_eq__divide__eq__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( _u9823 = c_Groups_Ozero__class_Ozero(_u9820)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9820), hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821)), _u9823) = _u9822) )).
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( _u9823 != c_Groups_Ozero__class_Ozero(_u9820)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) = c_Groups_Ozero__class_Ozero(_u9820)) )).
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( _u9823 != c_Groups_Ozero__class_Ozero(_u9820)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) != c_Groups_Ozero__class_Ozero(_u9820)) )).
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9820), hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821)), _u9823) != _u9822) | ( _u9823 = c_Groups_Ozero__class_Ozero(_u9820)) )).
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9820), hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821)), _u9823) != _u9822) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) != c_Groups_Ozero__class_Ozero(_u9820)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_eq__divide__eq__number__of1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827) = c_Groups_Ozero__class_Ozero(_u9824)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9824), _u9825), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827)) = _u9826) )).
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of1-2, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827) != c_Groups_Ozero__class_Ozero(_u9824)) | ( _u9825 = c_Groups_Ozero__class_Ozero(_u9824)) )).
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of1-3, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827) != c_Groups_Ozero__class_Ozero(_u9824)) | ( _u9825 != c_Groups_Ozero__class_Ozero(_u9824)) )).
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of1-4, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9824), _u9825), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827)) != _u9826) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827) = c_Groups_Ozero__class_Ozero(_u9824)) )).
% 43.36/43.57 cnf(fact_eq__divide__eq__number__of1-5, axiom, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9824), _u9825), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827)) != _u9826) | ( _u9825 != c_Groups_Ozero__class_Ozero(_u9824)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_add__number__of__diff1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_add__number__of__diff1-1, axiom, ( ~class_Int_Onumber__ring(_u9828) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9828), hAPP(c_Int_Onumber__class_Onumber__of(_u9828), _u9829)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9828), hAPP(c_Int_Onumber__class_Onumber__of(_u9828), _u9830)), _u9831)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9828), hAPP(c_Int_Onumber__class_Onumber__of(_u9828), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9829), _u9830))), _u9831)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_minus__number__of__mult ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_minus__number__of__mult-1, axiom, ( ~class_Int_Onumber__ring(_u9832) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9832), hAPP(c_Groups_Ouminus__class_Ouminus(_u9832), hAPP(c_Int_Onumber__class_Onumber__of(_u9832), _u9833))), _u9834) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9832), hAPP(c_Int_Onumber__class_Onumber__of(_u9832), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9833))), _u9834)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_diff__number__of__eq ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_diff__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u9835) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9835), hAPP(c_Int_Onumber__class_Onumber__of(_u9835), _u9836)), hAPP(c_Int_Onumber__class_Onumber__of(_u9835), _u9837)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9835), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9836), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9837)))) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__less__eq__number__of1 ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.36/43.57
% 43.36/43.57 % Formula: fact_divide__less__eq__number__of ( axiom ) converted to clauses:
% 43.36/43.57 cnf(fact_divide__less__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.36/43.57 cnf(fact_divide__less__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) )).
% 43.36/43.58 cnf(fact_divide__less__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_less__divide__eq__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_less__divide__eq__number__of1 ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.36/43.58 cnf(fact_less__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_abs__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_abs__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u9854) | ~class_Rings_Olinordered__idom(_u9854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)), c_Groups_Ozero__class_Ozero(_u9854))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855))) )).
% 43.36/43.58 cnf(fact_abs__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u9854) | ~class_Rings_Olinordered__idom(_u9854) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)), c_Groups_Ozero__class_Ozero(_u9854))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_add__number__of__diff2 ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_add__number__of__diff2-1, axiom, ( ~class_Int_Onumber__ring(_u9856) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9856), hAPP(c_Int_Onumber__class_Onumber__of(_u9856), _u9857)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9856), _u9858), hAPP(c_Int_Onumber__class_Onumber__of(_u9856), _u9859))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9856), hAPP(c_Int_Onumber__class_Onumber__of(_u9856), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9857), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9859)))), _u9858)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_divide__le__eq__number__of1 ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_divide__le__eq__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) )).
% 43.36/43.58 cnf(fact_divide__le__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_le__divide__eq__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_le__divide__eq__number__of1 ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-3, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-4, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-5, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-6, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-7, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-8, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-9, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.36/43.58 cnf(fact_le__divide__eq__number__of1-10, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_one__mod__nat__number__of ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9877))) | ( 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), _u9877)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.36/43.58 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), _u9878))) | ( 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), _u9878)) = 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), _u9878)))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_one__div__nat__number__of ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9879)) = 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), _u9879)))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_power__number__of__odd__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_power__number__of__odd__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u9880) | ~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), _u9881))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9880), hAPP(c_Int_Onumber__class_Onumber__of(_u9880), _u9882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9881))) = hAPP(hAPP(c_HOL_OLet(_u9880, _u9880), hAPP(hAPP(c_Power_Opower__class_Opower(_u9880), hAPP(c_Int_Onumber__class_Onumber__of(_u9880), _u9882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9881))), hAPP(hAPP(c_COMBS(_u9880, _u9880, _u9880), hAPP(hAPP(c_COMBB(_u9880, tc_fun(_u9880, _u9880), _u9880), c_Groups_Otimes__class_Otimes(_u9880)), hAPP(c_Groups_Otimes__class_Otimes(_u9880), hAPP(c_Int_Onumber__class_Onumber__of(_u9880), _u9882)))), c_COMBI(_u9880)))) )).
% 43.36/43.58 cnf(fact_power__number__of__odd__number__of-2, axiom, ( ~class_Int_Onumber__ring(_u9880) | 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), _u9881))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9880), hAPP(c_Int_Onumber__class_Onumber__of(_u9880), _u9882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9881))) = c_Groups_Oone__class_Oone(_u9880)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_power__nat__number__of__number__of ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9885))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9885)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9887)) = 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), _u9887))) )).
% 43.36/43.58 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), _u9886))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9886)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9888)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9886)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9888)))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_minus__numeral__code_I5_J ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9889)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9889))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_less__number__of__int__code ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9892)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9894))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9892), _u9894)) )).
% 43.36/43.58 cnf(fact_less__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9893), _u9895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9893)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9895))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_rel__simps_I34_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_rel__simps_I34_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9898)), c_Int_OBit1(_u9900))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9898), _u9900)) )).
% 43.36/43.58 cnf(fact_rel__simps_I34_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9899), _u9901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9899)), c_Int_OBit1(_u9901))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_less__eq__int__code_I16_J ( axiom ) converted to clauses:
% 43.36/43.58 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(_u9904)), c_Int_OBit1(_u9906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9904), _u9906)) )).
% 43.36/43.58 cnf(fact_less__eq__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9905), _u9907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9905)), c_Int_OBit1(_u9907))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_number__of__is__id ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_number__of__is__id-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9908) = _u9908) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_less__eq__number__of__int__code ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9911)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9913))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9911), _u9913)) )).
% 43.36/43.58 cnf(fact_less__eq__number__of__int__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9912), _u9914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9912)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9914))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_neg__number__of__Bit1 ( axiom ) converted to clauses:
% 43.36/43.58 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(_u9916)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9916))) )).
% 43.36/43.58 cnf(fact_neg__number__of__Bit1-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9917))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9917)))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_times__numeral__code_I5_J ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9918)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9919)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9918), _u9919))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_plus__numeral__code_I9_J ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9921)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9920), _u9921))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_rel__simps_I51_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_rel__simps_I51_J-1, axiom, ( ( c_Int_OBit1(_u9924) != c_Int_OBit1(_u9926)) | ( _u9924 = _u9926) )).
% 43.36/43.58 cnf(fact_rel__simps_I51_J-2, axiom, ( ( _u9925 != _u9927) | ( c_Int_OBit1(_u9925) = c_Int_OBit1(_u9927)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_less__int__code_I16_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_less__int__code_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9930)), c_Int_OBit1(_u9932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9930), _u9932)) )).
% 43.36/43.58 cnf(fact_less__int__code_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9931), _u9933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9931)), c_Int_OBit1(_u9933))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_rel__simps_I17_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_rel__simps_I17_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9936)), c_Int_OBit1(_u9938))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9936), _u9938)) )).
% 43.36/43.58 cnf(fact_rel__simps_I17_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9937), _u9939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9937)), c_Int_OBit1(_u9939))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_int__number__of__def ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_int__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9940) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u9940)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_bin__less__0__simps_I4_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_bin__less__0__simps_I4_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9942)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9942), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.58 cnf(fact_bin__less__0__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9943), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9943)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_Bit1__def ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_Bit1__def-1, axiom, ( ( c_Int_OBit1(_u9944) = 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)), _u9944)), _u9944)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_nat__number__of__def ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_nat__number__of__def-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9945) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9945))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_nat__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_nat__number__of-1, axiom, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9946)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9946)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_nat__number__of__Bit1 ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_nat__number__of__Bit1-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9948))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9948)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.58 cnf(fact_nat__number__of__Bit1-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9949))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9949)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9949)), 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))))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_number__of__Bit1 ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u9950) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9950), c_Int_OBit1(_u9951)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9950), c_Groups_Oone__class_Oone(_u9950)), hAPP(c_Int_Onumber__class_Onumber__of(_u9950), _u9951))), hAPP(c_Int_Onumber__class_Onumber__of(_u9950), _u9951))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_power__number__of__odd ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_power__number__of__odd-1, axiom, ( ~class_Int_Onumber__ring(_u9952) | ~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), _u9953))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9952), _u9954), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9953))) = hAPP(hAPP(c_HOL_OLet(_u9952, _u9952), hAPP(hAPP(c_Power_Opower__class_Opower(_u9952), _u9954), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9953))), hAPP(hAPP(c_COMBS(_u9952, _u9952, _u9952), hAPP(hAPP(c_COMBB(_u9952, tc_fun(_u9952, _u9952), _u9952), c_Groups_Otimes__class_Otimes(_u9952)), hAPP(c_Groups_Otimes__class_Otimes(_u9952), _u9954))), c_COMBI(_u9952)))) )).
% 43.36/43.58 cnf(fact_power__number__of__odd-2, axiom, ( ~class_Int_Onumber__ring(_u9952) | 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), _u9953))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9952), _u9954), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9953))) = c_Groups_Oone__class_Oone(_u9952)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_zpower__number__of__odd ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9957))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9959), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9957))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9959), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9957))), 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), _u9959))), c_COMBI(tc_Int_Oint)))) )).
% 43.36/43.58 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), _u9958))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9960), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9958))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_minus__numeral__code_I6_J ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9961)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9962)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9961), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9962)))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_neg__imp__number__of__eq__0 ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9963))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9963) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_int__eq__iff__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_int__eq__iff__number__of-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9966) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9968)) | ( _u9966 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9968))) )).
% 43.36/43.58 cnf(fact_int__eq__iff__number__of-2, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9966) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9968)) | 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), _u9968))) )).
% 43.36/43.58 cnf(fact_int__eq__iff__number__of-3, axiom, ( ( _u9967 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9969))) | ~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), _u9969))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9967) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9969)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_eq__nat__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_eq__nat__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9972) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9974)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9974)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.36/43.58 cnf(fact_eq__nat__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9972) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9974)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9972))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9974))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9972) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.58 cnf(fact_eq__nat__number__of-3, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9972) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9974)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9972))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9974))) | ( _u9972 = _u9974) )).
% 43.36/43.58 cnf(fact_eq__nat__number__of-4, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975))) | ( _u9973 != _u9975) )).
% 43.36/43.58 cnf(fact_eq__nat__number__of-5, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975))) )).
% 43.36/43.58 cnf(fact_eq__nat__number__of-6, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9973 != _u9975) )).
% 43.36/43.58 cnf(fact_eq__nat__number__of-7, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973))) )).
% 43.36/43.58 cnf(fact_eq__nat__number__of-8, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975))) | ( _u9973 != _u9975) )).
% 43.36/43.58 cnf(fact_eq__nat__number__of-9, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975))) )).
% 43.36/43.58 cnf(fact_eq__nat__number__of-10, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9973 != _u9975) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_nat__number__of__add__left ( axiom ) converted to clauses:
% 43.36/43.58 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), _u9979))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9979)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9981)), _u9983)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9981)), _u9983)) )).
% 43.36/43.58 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), _u9980))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9982))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9980)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9982)), _u9984)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9980)), _u9984)) )).
% 43.36/43.58 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), _u9980))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9982))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9980)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9982)), _u9984)) = 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), _u9980), _u9982))), _u9984)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_int__nat__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_int__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9986))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9986)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.58 cnf(fact_int__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9987))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9987)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9987)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_mod__nat__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_mod__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9990))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9990), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9992)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.58 cnf(fact_mod__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9991))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9993))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9991), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9993)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9991)) )).
% 43.36/43.58 cnf(fact_mod__nat__number__of-3, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9991))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9993))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9991), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9993)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9991), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9993)))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_div__nat__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_div__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9996))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9996)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9998)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.36/43.58 cnf(fact_div__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9997))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9997)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9999)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9997)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9999)))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_power__nat__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_power__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10002))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10002)), _u10004) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10004)) )).
% 43.36/43.58 cnf(fact_power__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10003))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10003)), _u10005) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10003)), _u10005))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_Suc__nat__number__of__add ( axiom ) converted to clauses:
% 43.36/43.58 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), _u10008))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10008)), _u10010)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10010)) )).
% 43.36/43.58 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), _u10009))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10009)), _u10011)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10009))), _u10011)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_diff__nat__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_diff__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10014), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10016)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10014)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10016)) )).
% 43.36/43.58 cnf(fact_diff__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10015), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10017)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10015)) = 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), _u10017), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10015)))), 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))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_min__number__of__Suc ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_min__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10018)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10019)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10019))), 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), _u10018)), c_Int_Onat))))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_min__Suc__number__of ( axiom ) converted to clauses:
% 43.36/43.58 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), _u10020)), hAPP(c_Nat_OSuc, _u10021)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10020))), 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)), _u10021))))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_rel__simps_I46_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_rel__simps_I46_J-1, axiom, ( ( c_Int_OBit1(_u10022) != c_Int_OPls) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_rel__simps_I39_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_rel__simps_I39_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit1(_u10023)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_succ__Pls ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_succ__Pls-1, axiom, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_minus__Pls ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_minus__Pls-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_succ__pred ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_succ__pred-1, axiom, ( ( c_Int_Osucc(c_Int_Opred(_u10024)) = _u10024) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_mult__Pls ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_mult__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u10025) = c_Int_OPls) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_add__Pls ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_add__Pls-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u10026) = _u10026) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_add__Pls__right ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_add__Pls__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10027), c_Int_OPls) = _u10027) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_rel__simps_I2_J ( axiom ) converted to clauses:
% 43.36/43.58 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)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_Pls__def ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_Pls__def-1, axiom, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_diff__bin__simps_I1_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_diff__bin__simps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10028), c_Int_OPls) = _u10028) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_rel__simps_I19_J ( axiom ) converted to clauses:
% 43.36/43.58 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)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_number__of__Pls ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_number__of__Pls-1, axiom, ( ~class_Int_Onumber__ring(_u10029) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10029), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u10029)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_semiring__norm_I112_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_semiring__norm_I112_J-1, axiom, ( ~class_Int_Onumber__ring(_u10030) | ( c_Groups_Ozero__class_Ozero(_u10030) = hAPP(c_Int_Onumber__class_Onumber__of(_u10030), c_Int_OPls)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_add__numeral__0__right ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_add__numeral__0__right-1, axiom, ( ~class_Int_Onumber__ring(_u10031) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10031), _u10032), hAPP(c_Int_Onumber__class_Onumber__of(_u10031), c_Int_OPls)) = _u10032) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_add__numeral__0 ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_add__numeral__0-1, axiom, ( ~class_Int_Onumber__ring(_u10033) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10033), hAPP(c_Int_Onumber__class_Onumber__of(_u10033), c_Int_OPls)), _u10034) = _u10034) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_bin__less__0__simps_I1_J ( axiom ) converted to clauses:
% 43.36/43.58 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))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_semiring__norm_I113_J ( axiom ) converted to clauses:
% 43.36/43.58 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)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_nat__number__of__Pls ( axiom ) converted to clauses:
% 43.36/43.58 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)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_zero__is__num__zero ( axiom ) converted to clauses:
% 43.36/43.58 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)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_rel__simps_I22_J ( axiom ) converted to clauses:
% 43.36/43.58 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(_u10036))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10036)) )).
% 43.36/43.58 cnf(fact_rel__simps_I22_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10037))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_rel__simps_I12_J ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_rel__simps_I12_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10039)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10039), c_Int_OPls)) )).
% 43.36/43.58 cnf(fact_rel__simps_I12_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10040), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10040)), c_Int_OPls)) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_Suc__diff__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_Suc__diff__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10041)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10042)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10041)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10042), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10041)))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_not__neg__number__of__Pls ( axiom ) converted to clauses:
% 43.36/43.58 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))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_nat__1__add__number__of ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_nat__1__add__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10044), 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), _u10044)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.58 cnf(fact_nat__1__add__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10045), 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), _u10045)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10045))) )).
% 43.36/43.58
% 43.36/43.58 % Formula: fact_nat__number__of__add__1 ( axiom ) converted to clauses:
% 43.36/43.58 cnf(fact_nat__number__of__add__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10047), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10047)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.36/43.58 cnf(fact_nat__number__of__add__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10048), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10048)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10048))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_le__iff__pred__less ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_le__iff__pred__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10051), _u10053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10051)), _u10053)) )).
% 43.37/43.58 cnf(fact_le__iff__pred__less-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10052)), _u10054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10052), _u10054)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_minus__Bit1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_minus__Bit1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u10055)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10055)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__def-1, axiom, ( ( c_Int_Opred(_u10056) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10056), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__number__of__diff__1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__number__of__diff__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10058), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10058)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.58 cnf(fact_nat__number__of__diff__1-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10059), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10059)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10059))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__numeral__1__right ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__numeral__1__right-1, axiom, ( ~class_Int_Onumber__ring(_u10060) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10060), _u10061), hAPP(c_Int_Onumber__class_Onumber__of(_u10060), c_Int_OBit1(c_Int_OPls))) = _u10061) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__numeral__1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__numeral__1-1, axiom, ( ~class_Int_Onumber__ring(_u10062) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10062), hAPP(c_Int_Onumber__class_Onumber__of(_u10062), c_Int_OBit1(c_Int_OPls))), _u10063) = _u10063) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divide__Numeral0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divide__Numeral0-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10064) | ~class_Int_Onumber__ring(_u10064) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10064), _u10065), hAPP(c_Int_Onumber__class_Onumber__of(_u10064), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u10064)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_semiring__norm_I110_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_semiring__norm_I110_J-1, axiom, ( ~class_Int_Onumber__ring(_u10066) | ( c_Groups_Oone__class_Oone(_u10066) = hAPP(c_Int_Onumber__class_Onumber__of(_u10066), c_Int_OBit1(c_Int_OPls))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_numeral__1__eq__1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_numeral__1__eq__1-1, axiom, ( ~class_Int_Onumber__ring(_u10067) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10067), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u10067)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__0__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10069), c_Int_OPls)) )).
% 43.37/43.58 cnf(fact_eq__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10070), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10070)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__number__of__0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__number__of__0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10072) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10072), c_Int_OPls)) )).
% 43.37/43.58 cnf(fact_eq__number__of__0-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10073), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10073) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_number__of2 ( axiom ) converted to clauses:
% 43.37/43.58 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I5_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10075)) )).
% 43.37/43.58 cnf(fact_rel__simps_I5_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10076))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I29_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I29_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10078)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10078), c_Int_OPls)) )).
% 43.37/43.58 cnf(fact_rel__simps_I29_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10079), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10079)), c_Int_OPls)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__nat__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10082)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10082), _u10084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10084)) )).
% 43.37/43.58 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), _u10082)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10084))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10082), _u10084)) )).
% 43.37/43.58 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), _u10083)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10083), _u10085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10085)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divide__numeral__1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divide__numeral__1-1, axiom, ( ~class_Fields_Ofield(_u10086) | ~class_Int_Onumber__ring(_u10086) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10086), _u10087), hAPP(c_Int_Onumber__class_Onumber__of(_u10086), c_Int_OBit1(c_Int_OPls))) = _u10087) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divide__Numeral1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divide__Numeral1-1, axiom, ( ~class_Fields_Ofield(_u10088) | ~class_Int_Onumber__ring(_u10088) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10088), _u10089), hAPP(c_Int_Onumber__class_Onumber__of(_u10088), c_Int_OBit1(c_Int_OPls))) = _u10089) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_le__nat__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10092)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10094))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10092), _u10094)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10092), c_Int_OPls)) )).
% 43.37/43.58 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), _u10093)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10095))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10093), _u10095)) )).
% 43.37/43.58 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), _u10093)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10095))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10093), c_Int_OPls)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_one__is__num__one ( axiom ) converted to clauses:
% 43.37/43.58 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Numeral1__eq1__nat ( axiom ) converted to clauses:
% 43.37/43.58 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__numeral__1__eq__1 ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J ( axiom ) converted to clauses:
% 43.37/43.58 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_succ__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_succ__def-1, axiom, ( ( c_Int_Osucc(_u10096) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10096), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_le__special_I1_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_le__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10097) | ~class_Rings_Olinordered__idom(_u10097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10097), c_Groups_Ozero__class_Ozero(_u10097)), hAPP(c_Int_Onumber__class_Onumber__of(_u10097), _u10098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10098)) )).
% 43.37/43.58 cnf(fact_le__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10097) | ~class_Rings_Olinordered__idom(_u10097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10097), c_Groups_Ozero__class_Ozero(_u10097)), hAPP(c_Int_Onumber__class_Onumber__of(_u10097), _u10098))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_le__special_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_le__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10099) | ~class_Rings_Olinordered__idom(_u10099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10099), hAPP(c_Int_Onumber__class_Onumber__of(_u10099), _u10100)), c_Groups_Ozero__class_Ozero(_u10099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10100), c_Int_OPls)) )).
% 43.37/43.58 cnf(fact_le__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10099) | ~class_Rings_Olinordered__idom(_u10099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10100), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10099), hAPP(c_Int_Onumber__class_Onumber__of(_u10099), _u10100)), c_Groups_Ozero__class_Ozero(_u10099))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__special_I1_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_less__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10101) | ~class_Rings_Olinordered__idom(_u10101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10101), c_Groups_Ozero__class_Ozero(_u10101)), hAPP(c_Int_Onumber__class_Onumber__of(_u10101), _u10102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10102)) )).
% 43.37/43.58 cnf(fact_less__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10101) | ~class_Rings_Olinordered__idom(_u10101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10101), c_Groups_Ozero__class_Ozero(_u10101)), hAPP(c_Int_Onumber__class_Onumber__of(_u10101), _u10102))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__special_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_less__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10103) | ~class_Rings_Olinordered__idom(_u10103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10103), hAPP(c_Int_Onumber__class_Onumber__of(_u10103), _u10104)), c_Groups_Ozero__class_Ozero(_u10103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10104), c_Int_OPls)) )).
% 43.37/43.58 cnf(fact_less__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10103) | ~class_Rings_Olinordered__idom(_u10103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10104), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10103), hAPP(c_Int_Onumber__class_Onumber__of(_u10103), _u10104)), c_Groups_Ozero__class_Ozero(_u10103))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__0__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10106))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10106)) )).
% 43.37/43.58 cnf(fact_less__0__number__of-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10107)) | 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), _u10107))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_numeral__1__eq__Suc__0 ( axiom ) converted to clauses:
% 43.37/43.58 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_numeral__3__eq__3 ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power3__eq__cube ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power3__eq__cube-1, axiom, ( ~class_Groups_Omonoid__mult(_u10108) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10108), _u10109), 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(_u10108), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10108), _u10109), _u10109)), _u10109)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc3__eq__add__3 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Suc3__eq__add__3-1, axiom, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10110))) = 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)))), _u10110)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__nat__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10113), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10113)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10115)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10115)) )).
% 43.37/43.58 cnf(fact_add__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10114), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10116), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10114)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10116)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10114)) )).
% 43.37/43.58 cnf(fact_add__nat__number__of-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10114), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10116), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10114)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10116)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10114), _u10116))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_transfer__int__nat__numerals_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_transfer__nat__int__numerals_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_number__of__succ ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_number__of__succ-1, axiom, ( ~class_Int_Onumber__ring(_u10117) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10117), c_Int_Osucc(_u10118)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10117), c_Groups_Oone__class_Oone(_u10117)), hAPP(c_Int_Onumber__class_Onumber__of(_u10117), _u10118))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_number__of__pred ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_number__of__pred-1, axiom, ( ~class_Int_Onumber__ring(_u10119) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10119), c_Int_Opred(_u10120)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10119), hAPP(c_Groups_Ouminus__class_Ouminus(_u10119), c_Groups_Oone__class_Oone(_u10119))), hAPP(c_Int_Onumber__class_Onumber__of(_u10119), _u10120))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_le__special_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_le__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10121) | ~class_Rings_Olinordered__idom(_u10121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), hAPP(c_Int_Onumber__class_Onumber__of(_u10121), _u10122)), c_Groups_Oone__class_Oone(_u10121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10122), c_Int_OBit1(c_Int_OPls))) )).
% 43.37/43.58 cnf(fact_le__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10121) | ~class_Rings_Olinordered__idom(_u10121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10122), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), hAPP(c_Int_Onumber__class_Onumber__of(_u10121), _u10122)), c_Groups_Oone__class_Oone(_u10121))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_le__special_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_le__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10123) | ~class_Rings_Olinordered__idom(_u10123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10123), c_Groups_Oone__class_Oone(_u10123)), hAPP(c_Int_Onumber__class_Onumber__of(_u10123), _u10124))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10124)) )).
% 43.37/43.58 cnf(fact_le__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10123) | ~class_Rings_Olinordered__idom(_u10123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10123), c_Groups_Oone__class_Oone(_u10123)), hAPP(c_Int_Onumber__class_Onumber__of(_u10123), _u10124))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__special_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_less__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10125) | ~class_Rings_Olinordered__idom(_u10125) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10125), hAPP(c_Int_Onumber__class_Onumber__of(_u10125), _u10126)), c_Groups_Oone__class_Oone(_u10125))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10126), c_Int_OBit1(c_Int_OPls))) )).
% 43.37/43.58 cnf(fact_less__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10125) | ~class_Rings_Olinordered__idom(_u10125) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10126), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10125), hAPP(c_Int_Onumber__class_Onumber__of(_u10125), _u10126)), c_Groups_Oone__class_Oone(_u10125))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__special_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_less__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10127) | ~class_Rings_Olinordered__idom(_u10127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10127), c_Groups_Oone__class_Oone(_u10127)), hAPP(c_Int_Onumber__class_Onumber__of(_u10127), _u10128))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10128)) )).
% 43.37/43.58 cnf(fact_less__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10127) | ~class_Rings_Olinordered__idom(_u10127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10127), c_Groups_Oone__class_Oone(_u10127)), hAPP(c_Int_Onumber__class_Onumber__of(_u10127), _u10128))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__special_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10129), hAPP(c_Int_Onumber__class_Onumber__of(_u10129), _u10130)), c_Groups_Oone__class_Oone(_u10129)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10129), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10130), c_Int_OBit1(c_Int_OPls)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__special_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10131) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10131), c_Groups_Oone__class_Oone(_u10131)), hAPP(c_Int_Onumber__class_Onumber__of(_u10131), _u10132)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10131), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10132))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc__diff__eq__diff__pred ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u10133)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10134)), _u10133) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10134), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10133), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__nat__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__nat__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10137), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10137)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10139)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.58 cnf(fact_mult__nat__number__of-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10138), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10138)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10140)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10138), _u10140))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__number__of__mult__left ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__number__of__mult__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10144), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10144)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10146)), _u10148)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.58 cnf(fact_nat__number__of__mult__left-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10145), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10145)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10147)), _u10149)) = 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), _u10145), _u10147))), _u10149)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_neg__number__of__pred__iff__0 ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10151)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10151) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.58 cnf(fact_neg__number__of__pred__iff__0-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10152) != 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(_u10152)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc__mod__eq__add3__mod__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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, _u10153))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10154)) = 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)))), _u10153), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10154))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc__mod__eq__add3__mod ( axiom ) converted to clauses:
% 43.37/43.58 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, _u10155))), _u10156) = 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)))), _u10155), _u10156)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__Suc__eq__mod__add3 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mod__Suc__eq__mod__add3-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10157, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10158)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10157, 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)))), _u10158))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc__div__eq__add3__div__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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, _u10159)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10160)) = 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)))), _u10159)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10160))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc__div__eq__add3__div ( axiom ) converted to clauses:
% 43.37/43.58 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, _u10161)))), _u10162) = 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)))), _u10161)), _u10162)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__Suc__eq__div__add3 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_div__Suc__eq__div__add3-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10163), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10164)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10163), 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)))), _u10164))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__special_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_diff__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10165) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10165), hAPP(c_Int_Onumber__class_Onumber__of(_u10165), _u10166)), c_Groups_Oone__class_Oone(_u10165)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10165), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10166), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__special_I1_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_diff__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10167) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10167), c_Groups_Oone__class_Oone(_u10167)), hAPP(c_Int_Onumber__class_Onumber__of(_u10167), _u10168)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10167), 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), _u10168)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__number__of__Suc ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__number__of__Suc-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10171) != hAPP(c_Nat_OSuc, _u10173)) | 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(_u10171))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10173))))) )).
% 43.37/43.58 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(_u10172))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10174))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10172) = hAPP(c_Nat_OSuc, _u10174)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc__eq__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Suc__eq__number__of-1, axiom, ( ( hAPP(c_Nat_OSuc, _u10177) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10179)) | 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(_u10179))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10177))))) )).
% 43.37/43.58 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(_u10180))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10178))))) | ( hAPP(c_Nat_OSuc, _u10178) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10180)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__case__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__case__number__of-1, axiom, ( ( c_Nat_Onat_Onat__case(_u10181, _u10182, _u10183, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10184)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10184))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10181, _u10181), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10181, tc_fun(_u10181, _u10181)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10181, tc_fun(_u10181, _u10181)), tc_Int_Oint), c_If(_u10181)), c_Nat__Numeral_Oneg)), _u10182)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10181, tc_Int_Oint), _u10183), c_Int_Onat)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__number__of__Suc ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10187)), hAPP(c_Nat_OSuc, _u10189))) | 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(_u10187))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10189)))) )).
% 43.37/43.58 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(_u10188))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10190)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10188)), hAPP(c_Nat_OSuc, _u10190))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__Suc__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_less__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10193)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10195))) | 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(_u10195))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10193)), c_Int_Onat))))) )).
% 43.37/43.58 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(_u10196))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10194)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10194)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10196))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_le__Suc__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_le__Suc__number__of-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10199)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10201))) | 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(_u10201))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10199)), c_Int_Onat))))) )).
% 43.37/43.58 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(_u10202))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10200)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10200)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10202))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_le__number__of__Suc ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10205)), hAPP(c_Nat_OSuc, _u10207))) | 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(_u10205))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10207)))) )).
% 43.37/43.58 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(_u10206))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10208)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10206)), hAPP(c_Nat_OSuc, _u10208))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc__nat__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Suc__nat__number__of-1, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10210))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10210)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.37/43.58 cnf(fact_Suc__nat__number__of-2, axiom, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10211))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10211)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10211))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_max__number__of__Suc ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_max__number__of__Suc-1, axiom, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10212)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10213)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10213))), 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, _u10212))), 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), _u10212)), c_Int_Onat))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_max__Suc__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10214)), hAPP(c_Nat_OSuc, _u10215)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10214))), 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, _u10215))), 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)), _u10215))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__case__add__eq__if ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__case__add__eq__if-1, axiom, ( ( c_Nat_Onat_Onat__case(_u10216, _u10217, _u10218, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10219)), _u10220)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10216), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10219))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10216, _u10216), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10216, tc_fun(_u10216, _u10216)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10216, tc_fun(_u10216, _u10216)), tc_Int_Oint), c_If(_u10216)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u10216, _u10217, _u10218, _u10220))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10216, tc_Int_Oint), _u10218), 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)), _u10220))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__rec__add__eq__if ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__rec__add__eq__if-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10221, _u10222, _u10223), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10224)), _u10225)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10221), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10224))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10221, _u10221), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10221, tc_fun(_u10221, _u10221)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10221, tc_fun(_u10221, _u10221)), tc_Int_Oint), c_If(_u10221)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u10221, _u10222, _u10223), _u10225))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10221, _u10221), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10221, _u10221), tc_Int_Oint), _u10223), 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)), _u10225))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10221, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10221, _u10222, _u10223)), 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)), _u10225)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__special_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__special_I4_J-1, axiom, ( ~class_Int_Onumber__ring(_u10226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10227) != c_Groups_Oone__class_Oone(_u10226)) | c_Int_Oiszero(_u10226, hAPP(c_Int_Onumber__class_Onumber__of(_u10226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 43.37/43.58 cnf(fact_eq__special_I4_J-2, axiom, ( ~class_Int_Onumber__ring(_u10226) | ~c_Int_Oiszero(_u10226, hAPP(c_Int_Onumber__class_Onumber__of(_u10226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10227) = c_Groups_Oone__class_Oone(_u10226)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__special_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__special_I2_J-1, axiom, ( ~class_Int_Onumber__ring(_u10228) | ( c_Groups_Oone__class_Oone(_u10228) != hAPP(c_Int_Onumber__class_Onumber__of(_u10228), _u10229)) | c_Int_Oiszero(_u10228, hAPP(c_Int_Onumber__class_Onumber__of(_u10228), 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), _u10229)))) )).
% 43.37/43.58 cnf(fact_eq__special_I2_J-2, axiom, ( ~class_Int_Onumber__ring(_u10228) | ~c_Int_Oiszero(_u10228, hAPP(c_Int_Onumber__class_Onumber__of(_u10228), 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), _u10229)))) | ( c_Groups_Oone__class_Oone(_u10228) = hAPP(c_Int_Onumber__class_Onumber__of(_u10228), _u10229)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__rec__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__rec__number__of-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10230, _u10231, _u10232), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10233)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10230), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10233))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10230, _u10230), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10230, tc_fun(_u10230, _u10230)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10230, tc_fun(_u10230, _u10230)), tc_Int_Oint), c_If(_u10230)), c_Nat__Numeral_Oneg)), _u10231)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10230, _u10230), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10230, _u10230), tc_Int_Oint), _u10232), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10230, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10230, _u10231, _u10232)), c_Int_Onat))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_iszero__0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_iszero__0-1, axiom, ( ~class_Rings_Osemiring__1(_u10234) | c_Int_Oiszero(_u10234, c_Groups_Ozero__class_Ozero(_u10234)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_iszero__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_iszero__def-1, axiom, ( ~class_Rings_Osemiring__1(_u10235) | ~c_Int_Oiszero(_u10235, _u10236) | ( _u10236 = c_Groups_Ozero__class_Ozero(_u10235)) )).
% 43.37/43.58 cnf(fact_iszero__def-2, axiom, ( ~class_Rings_Osemiring__1(_u10235) | ( _u10236 != c_Groups_Ozero__class_Ozero(_u10235)) | c_Int_Oiszero(_u10235, _u10236) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_not__iszero__1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_not__iszero__1-1, axiom, ( ~class_Rings_Osemiring__1(_u10237) | ~c_Int_Oiszero(_u10237, c_Groups_Oone__class_Oone(_u10237)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__rec__0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__rec__0-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10238, _u10239, _u10240), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10239) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__rec__Suc ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__rec__Suc-1, axiom, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10241, _u10242, _u10243), hAPP(c_Nat_OSuc, _u10244)) = hAPP(hAPP(_u10243, _u10244), hAPP(c_Nat_Onat_Onat__rec(_u10241, _u10242, _u10243), _u10244))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_iszero__Numeral0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_iszero__Numeral0-1, axiom, ( ~class_Int_Onumber__ring(_u10245) | c_Int_Oiszero(_u10245, hAPP(c_Int_Onumber__class_Onumber__of(_u10245), c_Int_OPls)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_iszero__number__of__Bit1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_iszero__number__of__Bit1-1, axiom, ( ~class_Int_Onumber__ring(_u10246) | ~class_Int_Oring__char__0(_u10246) | ~c_Int_Oiszero(_u10246, hAPP(c_Int_Onumber__class_Onumber__of(_u10246), c_Int_OBit1(_u10247))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_not__iszero__Numeral1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_not__iszero__Numeral1-1, axiom, ( ~class_Int_Onumber__ring(_u10248) | ~c_Int_Oiszero(_u10248, hAPP(c_Int_Onumber__class_Onumber__of(_u10248), c_Int_OBit1(c_Int_OPls))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__number__of__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__number__of__eq-1, axiom, ( ~class_Int_Onumber__ring(_u10249) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10250) != hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10251)) | c_Int_Oiszero(_u10249, hAPP(c_Int_Onumber__class_Onumber__of(_u10249), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10250), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10251)))) )).
% 43.37/43.58 cnf(fact_eq__number__of__eq-2, axiom, ( ~class_Int_Onumber__ring(_u10249) | ~c_Int_Oiszero(_u10249, hAPP(c_Int_Onumber__class_Onumber__of(_u10249), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10250), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10251)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10250) = hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10251)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__special_I1_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__special_I1_J-1, axiom, ( ~class_Int_Onumber__ring(_u10252) | ( c_Groups_Ozero__class_Ozero(_u10252) != hAPP(c_Int_Onumber__class_Onumber__of(_u10252), _u10253)) | c_Int_Oiszero(_u10252, hAPP(c_Int_Onumber__class_Onumber__of(_u10252), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10253)))) )).
% 43.37/43.58 cnf(fact_eq__special_I1_J-2, axiom, ( ~class_Int_Onumber__ring(_u10252) | ~c_Int_Oiszero(_u10252, hAPP(c_Int_Onumber__class_Onumber__of(_u10252), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10253)))) | ( c_Groups_Ozero__class_Ozero(_u10252) = hAPP(c_Int_Onumber__class_Onumber__of(_u10252), _u10253)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__special_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__special_I3_J-1, axiom, ( ~class_Int_Onumber__ring(_u10254) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10254), _u10255) != c_Groups_Ozero__class_Ozero(_u10254)) | c_Int_Oiszero(_u10254, hAPP(c_Int_Onumber__class_Onumber__of(_u10254), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10255), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 43.37/43.58 cnf(fact_eq__special_I3_J-2, axiom, ( ~class_Int_Onumber__ring(_u10254) | ~c_Int_Oiszero(_u10254, hAPP(c_Int_Onumber__class_Onumber__of(_u10254), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10255), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10254), _u10255) = c_Groups_Ozero__class_Ozero(_u10254)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_neg__zmod__mult__2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_neg__zmod__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10256), 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)))), _u10257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10256)) = 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), _u10257), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10256))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zmod__number__of__Bit1 ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10260))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10262)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10260))) = 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), _u10262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10260)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.37/43.58 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), _u10261))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10263)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10261))) = 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), _u10263)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10261)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_arith__series__int ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10264)), 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))), _u10265))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10266))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10266)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10264), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10264), 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), _u10266), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u10265))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pos__zdiv__mult__2 ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u10267)) | ( 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)))), _u10268))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10267)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10268), _u10267)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I50_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I50_J-1, axiom, ( ( c_Int_OBit1(_u10269) != c_Int_OBit0(_u10270)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I49_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I49_J-1, axiom, ( ( c_Int_OBit0(_u10271) != c_Int_OBit1(_u10272)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_minus__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_minus__Bit0-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u10273)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10273))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I14_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10276)), c_Int_OBit0(_u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10276), _u10278)) )).
% 43.37/43.58 cnf(fact_rel__simps_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10277), _u10279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10277)), c_Int_OBit0(_u10279))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__int__code_I13_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_less__int__code_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10282)), c_Int_OBit0(_u10284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10282), _u10284)) )).
% 43.37/43.58 cnf(fact_less__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10283), _u10285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10283)), c_Int_OBit0(_u10285))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Bit0__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Bit0__def-1, axiom, ( ( c_Int_OBit0(_u10286) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10286), _u10286)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__Bit0__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__Bit0__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u10287)), c_Int_OBit0(_u10288)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10287), _u10288))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u10289)), _u10290) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10289), _u10290))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I48_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I48_J-1, axiom, ( ( c_Int_OBit0(_u10293) != c_Int_OBit0(_u10295)) | ( _u10293 = _u10295) )).
% 43.37/43.58 cnf(fact_rel__simps_I48_J-2, axiom, ( ( _u10294 != _u10296) | ( c_Int_OBit0(_u10294) = c_Int_OBit0(_u10296)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__bin__simps_I7_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_diff__bin__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u10297)), c_Int_OBit0(_u10298)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10297), _u10298))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__eq__int__code_I13_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10301)), c_Int_OBit0(_u10303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10301), _u10303)) )).
% 43.37/43.58 cnf(fact_less__eq__int__code_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10302), _u10304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10302)), c_Int_OBit0(_u10304))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I31_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I31_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10307)), c_Int_OBit0(_u10309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10307), _u10309)) )).
% 43.37/43.58 cnf(fact_rel__simps_I31_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10308), _u10310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10308)), c_Int_OBit0(_u10310))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I44_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I44_J-1, axiom, ( ( c_Int_OBit0(_u10312) != c_Int_OPls) | ( _u10312 = c_Int_OPls) )).
% 43.37/43.58 cnf(fact_rel__simps_I44_J-2, axiom, ( ( _u10313 != c_Int_OPls) | ( c_Int_OBit0(_u10313) = c_Int_OPls) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I38_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I38_J-1, axiom, ( ( c_Int_OPls != c_Int_OBit0(_u10315)) | ( c_Int_OPls = _u10315) )).
% 43.37/43.58 cnf(fact_rel__simps_I38_J-2, axiom, ( ( c_Int_OPls != _u10316) | ( c_Int_OPls = c_Int_OBit0(_u10316)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Bit0__Pls ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Bit0__Pls-1, axiom, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_bin__less__0__simps_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_bin__less__0__simps_I3_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10318)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10318), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.58 cnf(fact_bin__less__0__simps_I3_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10319), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10319)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I21_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10321)) )).
% 43.37/43.58 cnf(fact_rel__simps_I21_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10322))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I27_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I27_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10324)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10324), c_Int_OPls)) )).
% 43.37/43.58 cnf(fact_rel__simps_I27_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10325), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10325)), c_Int_OPls)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I32_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I32_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10328)), c_Int_OBit1(_u10330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10328), _u10330)) )).
% 43.37/43.58 cnf(fact_rel__simps_I32_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10329), _u10331)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10329)), c_Int_OBit1(_u10331))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__eq__int__code_I14_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10334)), c_Int_OBit1(_u10336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10334), _u10336)) )).
% 43.37/43.58 cnf(fact_less__eq__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10335), _u10337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10335)), c_Int_OBit1(_u10337))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I10_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I10_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10339)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10339), c_Int_OPls)) )).
% 43.37/43.58 cnf(fact_rel__simps_I10_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10340), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10340)), c_Int_OPls)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10342)) )).
% 43.37/43.58 cnf(fact_rel__simps_I4_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10343))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__int__code_I15_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_less__int__code_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10346)), c_Int_OBit0(_u10348))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10346), _u10348)) )).
% 43.37/43.58 cnf(fact_less__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10347), _u10349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10347)), c_Int_OBit0(_u10349))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I16_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I16_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10352)), c_Int_OBit0(_u10354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10352), _u10354)) )).
% 43.37/43.58 cnf(fact_rel__simps_I16_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10353), _u10355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10353)), c_Int_OBit0(_u10355))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__Bit0__Bit1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__Bit0__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u10356)), c_Int_OBit1(_u10357)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10356), _u10357))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__Bit1__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__Bit1__Bit0-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u10358)), c_Int_OBit0(_u10359)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10358), _u10359))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__bin__simps_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10360)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u10360))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__bin__simps_I9_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_diff__bin__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u10361)), c_Int_OBit0(_u10362)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10361), _u10362))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__bin__simps_I10_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_diff__bin__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u10363)), c_Int_OBit1(_u10364)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10363), _u10364))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zdiv__number__of__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10365))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10366))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10365)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10366))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_neg__number__of__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10368)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10368))) )).
% 43.37/43.58 cnf(fact_neg__number__of__Bit0-2, axiom, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10369))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10369)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__Bit0-1, axiom, ( ( c_Int_Opred(c_Int_OBit0(_u10370)) = c_Int_OBit1(c_Int_Opred(_u10370))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__Bit1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__Bit1-1, axiom, ( ( c_Int_Opred(c_Int_OBit1(_u10371)) = c_Int_OBit0(_u10371)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_iszero__number__of__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_iszero__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u10372) | ~class_Int_Oring__char__0(_u10372) | ~c_Int_Oiszero(_u10372, hAPP(c_Int_Onumber__class_Onumber__of(_u10372), c_Int_OBit0(_u10373))) | c_Int_Oiszero(_u10372, hAPP(c_Int_Onumber__class_Onumber__of(_u10372), _u10373)) )).
% 43.37/43.58 cnf(fact_iszero__number__of__Bit0-2, axiom, ( ~class_Int_Onumber__ring(_u10372) | ~class_Int_Oring__char__0(_u10372) | ~c_Int_Oiszero(_u10372, hAPP(c_Int_Onumber__class_Onumber__of(_u10372), _u10373)) | c_Int_Oiszero(_u10372, hAPP(c_Int_Onumber__class_Onumber__of(_u10372), c_Int_OBit0(_u10373))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_succ__Bit1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_succ__Bit1-1, axiom, ( ( c_Int_Osucc(c_Int_OBit1(_u10374)) = c_Int_OBit0(c_Int_Osucc(_u10374))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_succ__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_succ__Bit0-1, axiom, ( ( c_Int_Osucc(c_Int_OBit0(_u10375)) = c_Int_OBit1(_u10375)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__number__of__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__number__of__Bit0-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10376)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10376)), 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_number__of__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u10377) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10377), c_Int_OBit0(_u10378)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10377), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10377), c_Groups_Ozero__class_Ozero(_u10377)), hAPP(c_Int_Onumber__class_Onumber__of(_u10377), _u10378))), hAPP(c_Int_Onumber__class_Onumber__of(_u10377), _u10378))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I15_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I15_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10381)), c_Int_OBit1(_u10383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10381), _u10383)) )).
% 43.37/43.58 cnf(fact_rel__simps_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10382), _u10384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10382)), c_Int_OBit1(_u10384))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__int__code_I14_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_less__int__code_I14_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10387)), c_Int_OBit1(_u10389))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10387), _u10389)) )).
% 43.37/43.58 cnf(fact_less__int__code_I14_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10388), _u10390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10388)), c_Int_OBit1(_u10390))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I33_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I33_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10393)), c_Int_OBit0(_u10395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10393), _u10395)) )).
% 43.37/43.58 cnf(fact_rel__simps_I33_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10394), _u10396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10394)), c_Int_OBit0(_u10396))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__eq__int__code_I15_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10399)), c_Int_OBit0(_u10401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10399), _u10401)) )).
% 43.37/43.58 cnf(fact_less__eq__int__code_I15_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10400), _u10402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10400)), c_Int_OBit0(_u10402))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_card__UNIV__bool ( axiom ) converted to clauses:
% 43.37/43.58 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__Bit1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u10403)), _u10404) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10403), _u10404))), _u10404)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__bin__simps_I8_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_diff__bin__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u10405)), c_Int_OBit1(_u10406)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u10405)), _u10406))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__Bit1__Bit1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__Bit1__Bit1-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u10407)), c_Int_OBit1(_u10408)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10407), c_Int_Osucc(_u10408)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power__number__of__even ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power__number__of__even-1, axiom, ( ~class_Int_Onumber__ring(_u10409) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10409), _u10410), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10411))) = hAPP(hAPP(c_HOL_OLet(_u10409, _u10409), hAPP(hAPP(c_Power_Opower__class_Opower(_u10409), _u10410), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10411))), hAPP(hAPP(c_COMBS(_u10409, _u10409, _u10409), c_Groups_Otimes__class_Otimes(_u10409)), c_COMBI(_u10409)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zpower__number__of__even ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zpower__number__of__even-1, axiom, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10412), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10413))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10412), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10413))), 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_double__number__of__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_double__number__of__Bit0-1, axiom, ( ~class_Int_Onumber__ring(_u10414) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10414), c_Groups_Oone__class_Oone(_u10414)), c_Groups_Oone__class_Oone(_u10414))), hAPP(c_Int_Onumber__class_Onumber__of(_u10414), _u10415)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10414), c_Int_OBit0(_u10415))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_number__of1 ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10416))) | 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(_u10416)))) )).
% 43.37/43.58 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), _u10416))) | 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(_u10416)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J ( axiom ) converted to clauses:
% 43.37/43.58 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power__number__of__even__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power__number__of__even__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10417) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10417), hAPP(c_Int_Onumber__class_Onumber__of(_u10417), _u10418)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10419))) = hAPP(hAPP(c_HOL_OLet(_u10417, _u10417), hAPP(hAPP(c_Power_Opower__class_Opower(_u10417), hAPP(c_Int_Onumber__class_Onumber__of(_u10417), _u10418)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10419))), hAPP(hAPP(c_COMBS(_u10417, _u10417, _u10417), c_Groups_Otimes__class_Otimes(_u10417)), c_COMBI(_u10417)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__2-1, axiom, ( ~class_Int_Onumber__ring(_u10420) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10420), hAPP(c_Int_Onumber__class_Onumber__of(_u10420), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10421) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10420), _u10421), _u10421)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__2__right ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__2__right-1, axiom, ( ~class_Int_Onumber__ring(_u10422) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10422), _u10423), hAPP(c_Int_Onumber__class_Onumber__of(_u10422), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10422), _u10423), _u10423)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_one__add__one__is__two ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_one__add__one__is__two-1, axiom, ( ~class_Int_Onumber__ring(_u10424) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10424), c_Groups_Oone__class_Oone(_u10424)), c_Groups_Oone__class_Oone(_u10424)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10424), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zero__power2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zero__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u10425) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10425), c_Groups_Ozero__class_Ozero(_u10425)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u10425)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zero__eq__power2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zero__eq__power2-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10426) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10426), _u10427), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u10426)) | ( _u10427 = c_Groups_Ozero__class_Ozero(_u10426)) )).
% 43.37/43.58 cnf(fact_zero__eq__power2-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10426) | ( _u10427 != c_Groups_Ozero__class_Ozero(_u10426)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10426), _u10427), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u10426)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_numeral__2__eq__2 ( axiom ) converted to clauses:
% 43.37/43.58 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_semiring__norm_I115_J ( axiom ) converted to clauses:
% 43.37/43.58 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__eq__square ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__eq__square-1, axiom, ( ~class_Groups_Omonoid__mult(_u10428) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10428), _u10429), 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(_u10428), _u10429), _u10429)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10430) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10430), _u10431), _u10431) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10430), _u10431), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__2__eq__Suc ( axiom ) converted to clauses:
% 43.37/43.58 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)))), _u10432) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10432))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__2__eq__Suc_H ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__2__eq__Suc_H-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10433), 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, _u10433))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_one__power2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_one__power2-1, axiom, ( ~class_Rings_Osemiring__1(_u10434) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10434), c_Groups_Oone__class_Oone(_u10434)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10434)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__minus ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__minus-1, axiom, ( ~class_Rings_Oring__1(_u10435) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10435), hAPP(c_Groups_Ouminus__class_Ouminus(_u10435), _u10436)), 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(_u10435), _u10436), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__mult__2__right ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__mult__2__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10437), 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), _u10437), _u10437)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__mult__2 ( axiom ) converted to clauses:
% 43.37/43.58 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)))), _u10438) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10438), _u10438)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power__even__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power__even__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u10439) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10439), _u10440), 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)))), _u10441)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10439), hAPP(hAPP(c_Power_Opower__class_Opower(_u10439), _u10440), _u10441)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_transfer__int__nat__numerals_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_transfer__nat__int__numerals_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__abs ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__abs-1, axiom, ( ~class_Rings_Olinordered__idom(_u10442) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10442), hAPP(c_Groups_Oabs__class_Oabs(_u10442), _u10443)), 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(_u10442), _u10443), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_abs__power2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_abs__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u10444) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10444), hAPP(hAPP(c_Power_Opower__class_Opower(_u10444), _u10445), 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(_u10444), _u10445), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__1__add__1 ( axiom ) converted to clauses:
% 43.37/43.58 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod2__Suc__Suc ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mod2__Suc__Suc-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10446)), 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, _u10446, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div2__Suc__Suc ( axiom ) converted to clauses:
% 43.37/43.58 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, _u10447))), 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), _u10447), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zmod__number__of__Bit0 ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10448)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10449))) = hAPP(hAPP(c_Groups_Otimes__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), _u10448), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10449)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__self__div__2 ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10450), _u10450)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u10450) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_half__gt__zero ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_half__gt__zero-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10451) | ~class_Int_Onumber__ring(_u10451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10451), c_Groups_Ozero__class_Ozero(_u10451)), _u10452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10451), c_Groups_Ozero__class_Ozero(_u10451)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10451), _u10452), hAPP(c_Int_Onumber__class_Onumber__of(_u10451), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_half__gt__zero__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_half__gt__zero__iff-1, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10453) | ~class_Int_Onumber__ring(_u10453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10453), c_Groups_Ozero__class_Ozero(_u10453)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10453), _u10454), hAPP(c_Int_Onumber__class_Onumber__of(_u10453), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10453), c_Groups_Ozero__class_Ozero(_u10453)), _u10454)) )).
% 43.37/43.58 cnf(fact_half__gt__zero__iff-2, axiom, ( ~class_Fields_Olinordered__field__inverse__zero(_u10453) | ~class_Int_Onumber__ring(_u10453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10453), c_Groups_Ozero__class_Ozero(_u10453)), _u10454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10453), c_Groups_Ozero__class_Ozero(_u10453)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10453), _u10454), hAPP(c_Int_Onumber__class_Onumber__of(_u10453), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__eq__imp__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__eq__imp__eq-1, axiom, ( ~class_Rings_Olinordered__semidom(_u10455) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10455), _u10456), 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(_u10455), _u10457), 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(_u10455), c_Groups_Ozero__class_Ozero(_u10455)), _u10456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10455), c_Groups_Ozero__class_Ozero(_u10455)), _u10457)) | ( _u10456 = _u10457) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__le__imp__le ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__le__imp__le-1, axiom, ( ~class_Rings_Olinordered__semidom(_u10458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10458), hAPP(hAPP(c_Power_Opower__class_Opower(_u10458), _u10459), 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(_u10458), _u10460), 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(_u10458), c_Groups_Ozero__class_Ozero(_u10458)), _u10460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10458), _u10459), _u10460)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zero__le__power2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zero__le__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u10461) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10461), c_Groups_Ozero__class_Ozero(_u10461)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10461), _u10462), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__less__0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__less__0-1, axiom, ( ~class_Rings_Olinordered__idom(_u10463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10463), hAPP(hAPP(c_Power_Opower__class_Opower(_u10463), _u10464), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u10463))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zero__less__power2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zero__less__power2-1, axiom, ( ~class_Rings_Olinordered__idom(_u10465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10465), c_Groups_Ozero__class_Ozero(_u10465)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10465), _u10466), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u10466 != c_Groups_Ozero__class_Ozero(_u10465)) )).
% 43.37/43.58 cnf(fact_zero__less__power2-2, axiom, ( ~class_Rings_Olinordered__idom(_u10465) | ( _u10466 = c_Groups_Ozero__class_Ozero(_u10465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10465), c_Groups_Ozero__class_Ozero(_u10465)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10465), _u10466), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_sum__power2__eq__zero__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_sum__power2__eq__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u10467) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10467), hAPP(hAPP(c_Power_Opower__class_Opower(_u10467), _u10468), 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(_u10467), _u10469), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u10467)) | ( _u10468 = c_Groups_Ozero__class_Ozero(_u10467)) )).
% 43.37/43.58 cnf(fact_sum__power2__eq__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u10467) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10467), hAPP(hAPP(c_Power_Opower__class_Opower(_u10467), _u10468), 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(_u10467), _u10469), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u10467)) | ( _u10469 = c_Groups_Ozero__class_Ozero(_u10467)) )).
% 43.37/43.58 cnf(fact_sum__power2__eq__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u10467) | ( _u10468 != c_Groups_Ozero__class_Ozero(_u10467)) | ( _u10469 != c_Groups_Ozero__class_Ozero(_u10467)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10467), hAPP(hAPP(c_Power_Opower__class_Opower(_u10467), _u10468), 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(_u10467), _u10469), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u10467)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__eq__square__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__eq__square__number__of-1, axiom, ( ~class_Groups_Omonoid__mult(_u10470) | ~class_Int_Onumber(_u10470) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10470), hAPP(c_Int_Onumber__class_Onumber__of(_u10470), _u10471)), 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(_u10470), hAPP(c_Int_Onumber__class_Onumber__of(_u10470), _u10471)), hAPP(c_Int_Onumber__class_Onumber__of(_u10470), _u10471))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__2__cases ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_less__2__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10472), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u10472 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10472 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__2 ( axiom ) converted to clauses:
% 43.37/43.58 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__eq__1__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__eq__1__iff-1, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10473) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10473), _u10474), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u10473)) | ( _u10474 = c_Groups_Oone__class_Oone(_u10473)) | ( _u10474 = hAPP(c_Groups_Ouminus__class_Ouminus(_u10473), c_Groups_Oone__class_Oone(_u10473))) )).
% 43.37/43.58 cnf(fact_power2__eq__1__iff-2, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10473) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10473), _u10474), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10473)) | ( _u10474 != c_Groups_Oone__class_Oone(_u10473)) )).
% 43.37/43.58 cnf(fact_power2__eq__1__iff-3, axiom, ( ~class_Rings_Oring__1__no__zero__divisors(_u10473) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10473), _u10474), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10473)) | ( _u10474 != hAPP(c_Groups_Ouminus__class_Ouminus(_u10473), c_Groups_Oone__class_Oone(_u10473))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10475) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10475), _u10476), 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)))), _u10477)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10475), hAPP(hAPP(c_Power_Opower__class_Opower(_u10475), _u10476), _u10477)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10475), _u10476), _u10477))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power__minus__even ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power__minus__even-1, axiom, ( ~class_Rings_Oring__1(_u10478) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10478), hAPP(c_Groups_Ouminus__class_Ouminus(_u10478), _u10479)), 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)))), _u10480)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10478), _u10479), 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)))), _u10480))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__less__imp__less ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__less__imp__less-1, axiom, ( ~class_Rings_Olinordered__semidom(_u10481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10481), hAPP(hAPP(c_Power_Opower__class_Opower(_u10481), _u10482), 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(_u10481), _u10483), 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(_u10481), c_Groups_Ozero__class_Ozero(_u10481)), _u10483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10481), _u10482), _u10483)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_sum__power2__ge__zero ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_sum__power2__ge__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u10484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10484), c_Groups_Ozero__class_Ozero(_u10484)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10484), hAPP(hAPP(c_Power_Opower__class_Opower(_u10484), _u10485), 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(_u10484), _u10486), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_sum__power2__le__zero__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_sum__power2__le__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u10487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10487), hAPP(hAPP(c_Power_Opower__class_Opower(_u10487), _u10488), 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(_u10487), _u10489), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u10487))) | ( _u10488 = c_Groups_Ozero__class_Ozero(_u10487)) )).
% 43.37/43.58 cnf(fact_sum__power2__le__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u10487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10487), hAPP(hAPP(c_Power_Opower__class_Opower(_u10487), _u10488), 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(_u10487), _u10489), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u10487))) | ( _u10489 = c_Groups_Ozero__class_Ozero(_u10487)) )).
% 43.37/43.58 cnf(fact_sum__power2__le__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u10487) | ( _u10488 != c_Groups_Ozero__class_Ozero(_u10487)) | ( _u10489 != c_Groups_Ozero__class_Ozero(_u10487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10487), hAPP(hAPP(c_Power_Opower__class_Opower(_u10487), _u10488), 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(_u10487), _u10489), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u10487))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_sum__power2__gt__zero__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_sum__power2__gt__zero__iff-1, axiom, ( ~class_Rings_Olinordered__idom(_u10490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10490), c_Groups_Ozero__class_Ozero(_u10490)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10490), hAPP(hAPP(c_Power_Opower__class_Opower(_u10490), _u10491), 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(_u10490), _u10492), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u10491 != c_Groups_Ozero__class_Ozero(_u10490)) | ( _u10492 != c_Groups_Ozero__class_Ozero(_u10490)) )).
% 43.37/43.58 cnf(fact_sum__power2__gt__zero__iff-2, axiom, ( ~class_Rings_Olinordered__idom(_u10490) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10490), c_Groups_Ozero__class_Ozero(_u10490)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10490), hAPP(hAPP(c_Power_Opower__class_Opower(_u10490), _u10491), 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(_u10490), _u10492), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u10491 = c_Groups_Ozero__class_Ozero(_u10490)) )).
% 43.37/43.58 cnf(fact_sum__power2__gt__zero__iff-3, axiom, ( ~class_Rings_Olinordered__idom(_u10490) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10490), c_Groups_Ozero__class_Ozero(_u10490)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10490), hAPP(hAPP(c_Power_Opower__class_Opower(_u10490), _u10491), 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(_u10490), _u10492), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u10492 = c_Groups_Ozero__class_Ozero(_u10490)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_not__sum__power2__lt__zero ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_not__sum__power2__lt__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u10493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10493), hAPP(hAPP(c_Power_Opower__class_Opower(_u10493), _u10494), 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(_u10493), _u10495), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u10493))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__sum ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__sum-1, axiom, ( ~class_Int_Onumber__ring(_u10496) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10496), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10496), _u10497), _u10498)), 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(_u10496), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10496), hAPP(hAPP(c_Power_Opower__class_Opower(_u10496), _u10497), 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(_u10496), _u10498), 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(_u10496), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10496), hAPP(c_Int_Onumber__class_Onumber__of(_u10496), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10497)), _u10498))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zero__le__even__power_H ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zero__le__even__power_H-1, axiom, ( ~class_Rings_Olinordered__idom(_u10499) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10499), c_Groups_Ozero__class_Ozero(_u10499)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10499), _u10500), 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)))), _u10501)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J-1, axiom, ( ~class_Rings_Ocomm__semiring__1(_u10502) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10502), _u10503), 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)))), _u10504))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10502), _u10503), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10502), hAPP(hAPP(c_Power_Opower__class_Opower(_u10502), _u10503), _u10504)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10502), _u10503), _u10504)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power__odd__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power__odd__eq-1, axiom, ( ~class_Groups_Omonoid__mult(_u10505) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10505), _u10506), 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)))), _u10507))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10505), _u10506), hAPP(hAPP(c_Power_Opower__class_Opower(_u10505), hAPP(hAPP(c_Power_Opower__class_Opower(_u10505), _u10506), _u10507)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power__minus1__even ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power__minus1__even-1, axiom, ( ~class_Rings_Oring__1(_u10508) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10508), hAPP(c_Groups_Ouminus__class_Ouminus(_u10508), c_Groups_Oone__class_Oone(_u10508))), 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)))), _u10509)) = c_Groups_Oone__class_Oone(_u10508)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zdiv__number__of__Bit1 ( axiom ) converted to clauses:
% 43.37/43.58 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), _u10512))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10514))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10512))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10514)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10512))) )).
% 43.37/43.58 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), _u10513))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10515))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10513))) = 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), _u10515)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10513))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod2__gr__0 ( axiom ) converted to clauses:
% 43.37/43.58 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, _u10517, 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, _u10517, 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)) )).
% 43.37/43.58 cnf(fact_mod2__gr__0-2, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10518, 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, _u10518, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__2__gt__zero ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u10519)) | 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), _u10519), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power2__diff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power2__diff-1, axiom, ( ~class_Int_Onumber__ring(_u10520) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10520), _u10521), _u10522)), 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(_u10520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10520), hAPP(hAPP(c_Power_Opower__class_Opower(_u10520), _u10521), 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(_u10520), _u10522), 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(_u10520), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10520), hAPP(c_Int_Onumber__class_Onumber__of(_u10520), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10521)), _u10522))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_odd__0__le__power__imp__0__le ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_odd__0__le__power__imp__0__le-1, axiom, ( ~class_Rings_Olinordered__idom(_u10523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10523), c_Groups_Ozero__class_Ozero(_u10523)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10523), _u10524), 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)))), _u10525))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10523), c_Groups_Ozero__class_Ozero(_u10523)), _u10524)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_odd__power__less__zero ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_odd__power__less__zero-1, axiom, ( ~class_Rings_Olinordered__idom(_u10526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10526), _u10527), c_Groups_Ozero__class_Ozero(_u10526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10526), hAPP(hAPP(c_Power_Opower__class_Opower(_u10526), _u10527), 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)))), _u10528)))), c_Groups_Ozero__class_Ozero(_u10526))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power__minus1__odd ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power__minus1__odd-1, axiom, ( ~class_Rings_Oring__1(_u10529) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10529), hAPP(c_Groups_Ouminus__class_Ouminus(_u10529), c_Groups_Oone__class_Oone(_u10529))), 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)))), _u10530))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10529), c_Groups_Oone__class_Oone(_u10529))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc__n__div__2__gt__zero ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u10531)) | 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), _u10531), 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)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_of__nat__double ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_of__nat__double-1, axiom, ( ~class_Rings_Osemiring__1(_u10532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10533)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10532), 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)))), _u10533))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10532), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10532), hAPP(c_Int_Onat, _u10533))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10532), hAPP(c_Int_Onat, _u10533)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pos__zmod__mult__2 ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u10534)) | ( 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)))), _u10535)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10534)) = 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, _u10535, _u10534)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_neg__zdiv__mult__2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_neg__zdiv__mult__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10536), 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)))), _u10537))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10536)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10537), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10536)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_int__of__code ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_int__of__code-1, axiom, ( ( _u10539 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u10539) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.58 cnf(fact_int__of__code-2, axiom, ( ( _u10540 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u10540, 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, _u10540) = hAPP(hAPP(c_Groups_Otimes__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), _u10540), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 43.37/43.58 cnf(fact_int__of__code-3, axiom, ( ( _u10540 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u10540, 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, _u10540) = 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), _u10540), 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_of__int__num ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_of__int__num-1, axiom, ( ~class_Rings_Oring__1(_u10541) | ( _u10542 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10541), _u10542) = c_Groups_Ozero__class_Ozero(_u10541)) )).
% 43.37/43.58 cnf(fact_of__int__num-2, axiom, ( ~class_Rings_Oring__1(_u10541) | ( _u10542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10541), _u10542) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10541), hAPP(c_Int_Oring__1__class_Oof__int(_u10541), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10542)))) )).
% 43.37/43.58 cnf(fact_of__int__num-3, axiom, ( ~class_Rings_Oring__1(_u10541) | ( _u10542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10541), _u10542) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u10541), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u10541, _u10541)), tc_fun(tc_Int_Oint, _u10541)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10541, _u10541), _u10541), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u10541, _u10541)), tc_fun(tc_Int_Oint, _u10541)), tc_Int_Oint), c_COMBB(tc_fun(_u10541, _u10541), _u10541, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u10541, tc_fun(tc_fun(_u10541, _u10541), _u10541), tc_Int_Oint), c_HOL_OLet(_u10541, _u10541)), c_Int_Oring__1__class_Oof__int(_u10541)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u10541, _u10541), tc_fun(_u10541, _u10541)), hAPP(hAPP(c_COMBB(tc_fun(_u10541, tc_fun(_u10541, _u10541)), tc_fun(tc_fun(_u10541, _u10541), tc_fun(_u10541, _u10541)), tc_Int_Oint), c_COMBS(_u10541, _u10541, _u10541)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u10541, _u10541), tc_fun(_u10541, tc_fun(_u10541, _u10541))), hAPP(hAPP(c_COMBB(tc_fun(_u10541, tc_fun(_u10541, _u10541)), tc_fun(tc_fun(_u10541, _u10541), tc_fun(_u10541, tc_fun(_u10541, _u10541))), tc_Int_Oint), c_COMBB(_u10541, tc_fun(_u10541, _u10541), _u10541)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10541, tc_fun(_u10541, _u10541)), tc_Int_Oint), c_If(_u10541)), 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(_u10541, _u10541, _u10541), c_Groups_Oplus__class_Oplus(_u10541)), c_COMBI(_u10541))))), hAPP(hAPP(c_COMBC(_u10541, _u10541, _u10541), hAPP(hAPP(c_COMBB(_u10541, tc_fun(_u10541, _u10541), _u10541), c_Groups_Oplus__class_Oplus(_u10541)), hAPP(hAPP(c_COMBS(_u10541, _u10541, _u10541), c_Groups_Oplus__class_Oplus(_u10541)), c_COMBI(_u10541)))), c_Groups_Oone__class_Oone(_u10541))))), c_Divides_Odivmod__int(_u10542, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power__m1__odd ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power__m1__odd-1, axiom, ( ~class_Int_Onumber__ring(_u10543) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10543), hAPP(c_Int_Onumber__class_Onumber__of(_u10543), 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)))), _u10544))) = hAPP(c_Int_Onumber__class_Onumber__of(_u10543), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_power__m1__even ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_power__m1__even-1, axiom, ( ~class_Int_Onumber__ring(_u10545) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10545), hAPP(c_Int_Onumber__class_Onumber__of(_u10545), 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)))), _u10546)) = c_Groups_Oone__class_Oone(_u10545)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I42_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I42_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit0(_u10547)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I45_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I45_J-1, axiom, ( ( c_Int_OBit0(_u10548) != c_Int_OMin) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I40_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I40_J-1, axiom, ( ( c_Int_OMin != c_Int_OPls) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I37_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I37_J-1, axiom, ( ( c_Int_OPls != c_Int_OMin) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I24_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral__zero__minus__one ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I7_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Bit1__Min ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Bit1__Min-1, axiom, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I43_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I43_J-1, axiom, ( ( c_Int_OMin != c_Int_OBit1(_u10550)) | ( c_Int_OMin = _u10550) )).
% 43.37/43.58 cnf(fact_rel__simps_I43_J-2, axiom, ( ( c_Int_OMin != _u10551) | ( c_Int_OMin = c_Int_OBit1(_u10551)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I47_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I47_J-1, axiom, ( ( c_Int_OBit1(_u10553) != c_Int_OMin) | ( _u10553 = c_Int_OMin) )).
% 43.37/43.58 cnf(fact_rel__simps_I47_J-2, axiom, ( ( _u10554 != c_Int_OMin) | ( c_Int_OBit1(_u10554) = c_Int_OMin) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_bin__less__0__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I20_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I23_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I30_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I30_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10556)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), c_Int_OMin)) )).
% 43.37/43.58 cnf(fact_rel__simps_I30_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10557), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10557)), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I26_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10559))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u10559)) )).
% 43.37/43.58 cnf(fact_rel__simps_I26_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u10560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u10560))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I6_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I9_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10562))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10562)) )).
% 43.37/43.58 cnf(fact_rel__simps_I9_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u10563))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I13_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I13_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10565)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10565), c_Int_OMin)) )).
% 43.37/43.58 cnf(fact_rel__simps_I13_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10566), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10566)), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I28_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I28_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10568)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10568), c_Int_OMin)) )).
% 43.37/43.58 cnf(fact_rel__simps_I28_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10569), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10569)), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I8_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10571)) )).
% 43.37/43.58 cnf(fact_rel__simps_I8_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u10572))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__number__of__Pls__Min ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Int_OMin__def ( axiom ) converted to clauses:
% 43.37/43.58 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__Min ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u10573) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10573)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_neg__number__of__Min ( axiom ) converted to clauses:
% 43.37/43.58 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__Pls ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__Pls-1, axiom, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__Min__right ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__Min__right-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10574), c_Int_OMin) = c_Int_Opred(_u10574)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add__Min ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_add__Min-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u10575) = c_Int_Opred(_u10575)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__Min ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__Min-1, axiom, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nonzero__number__of__Min ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nonzero__number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u10576) | ~c_Int_Oiszero(_u10576, hAPP(c_Int_Onumber__class_Onumber__of(_u10576), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_succ__Min ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_succ__Min-1, axiom, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__bin__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_diff__bin__simps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10577), c_Int_OMin) = c_Int_Osucc(_u10577)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__minus1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__minus1-1, axiom, ( ~class_Int_Onumber__ring(_u10578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10578), hAPP(c_Int_Onumber__class_Onumber__of(_u10578), c_Int_OMin)), _u10579) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10578), _u10579)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult__minus1__right ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mult__minus1__right-1, axiom, ( ~class_Int_Onumber__ring(_u10580) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10580), _u10581), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10580), _u10581)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_arith__simps_I31_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_arith__simps_I31_J-1, axiom, ( ~class_Int_Onumber__ring(_u10582) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10582), c_Groups_Oone__class_Oone(_u10582)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10582), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_number__of__Min ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_number__of__Min-1, axiom, ( ~class_Int_Onumber__ring(_u10583) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10583), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10583), c_Groups_Oone__class_Oone(_u10583))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_abs__minus__one ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_abs__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u10584) | ~class_Rings_Olinordered__idom(_u10584) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10584), hAPP(c_Int_Onumber__class_Onumber__of(_u10584), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u10584)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divide__minus1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divide__minus1-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10585) | ~class_Int_Onumber__ring(_u10585) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10585), _u10586), hAPP(c_Int_Onumber__class_Onumber__of(_u10585), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10585), _u10586)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I11_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__simps_I11_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10588)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10588), c_Int_OMin)) )).
% 43.37/43.58 cnf(fact_rel__simps_I11_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10589), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10589)), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__simps_I25_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10591)) )).
% 43.37/43.58 cnf(fact_rel__simps_I25_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u10592))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zmod__minus1__right ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zmod__minus1__right-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10593, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__bin__simps_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10594)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u10594))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_minus__Min ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_minus__Min-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zmult__eq__1__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zmult__eq__1__iff-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10599) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10597 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10597 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.37/43.58 cnf(fact_zmult__eq__1__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10599) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10597 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10599 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.37/43.58 cnf(fact_zmult__eq__1__iff-3, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10599) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10599 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10597 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.37/43.58 cnf(fact_zmult__eq__1__iff-4, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10599) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10599 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10599 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.37/43.58 cnf(fact_zmult__eq__1__iff-5, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10598), _u10600) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10598 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10600 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.37/43.58 cnf(fact_zmult__eq__1__iff-6, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10598), _u10600) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10598 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u10600 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pos__zmult__eq__1__iff__lemma ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pos__zmult__eq__1__iff__lemma-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10601), _u10602) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10601 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10601 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__bin__simps_I5_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10603)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u10603))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_diff__bin__simps_I6_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u10604)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u10604))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_of__int__m1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_of__int__m1-1, axiom, ( ~class_Int_Onumber__ring(_u10605) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10605), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10605), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zdiv__minus1__right ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zdiv__minus1__right-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10606), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10606)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zero__code__numeral__code ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_minus1__divide ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_minus1__divide-1, axiom, ( ~class_Fields_Ofield__inverse__zero(_u10607) | ~class_Int_Onumber__ring(_u10607) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10607), hAPP(c_Int_Onumber__class_Onumber__of(_u10607), c_Int_OMin)), _u10608) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10607), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10607), c_Groups_Oone__class_Oone(_u10607)), _u10608))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_abs__power__minus__one ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_abs__power__minus__one-1, axiom, ( ~class_Int_Onumber__ring(_u10609) | ~class_Rings_Olinordered__idom(_u10609) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10609), hAPP(hAPP(c_Power_Opower__class_Opower(_u10609), hAPP(c_Int_Onumber__class_Onumber__of(_u10609), c_Int_OMin)), _u10610)) = c_Groups_Oone__class_Oone(_u10609)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__eq__minus1 ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u10611)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u10611) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__pos__neg__trivial ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u10612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10612), _u10613)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10612), _u10613) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zmod__minus1 ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u10614)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u10614) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10614), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_one__code__numeral__code ( axiom ) converted to clauses:
% 43.37/43.58 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nitpick_OFrac__def ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_int__ge__less__than2__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_int__ge__less__than2__def-1, axiom, ( ( c_Int_Oint__ge__less__than2(_u10615) = 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), _u10615)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_int__ge__less__than__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_int__ge__less__than__def-1, axiom, ( ( c_Int_Oint__ge__less__than(_u10616) = 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), _u10616)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_inj__graph ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_inj__graph-1, axiom, ( c_Fun_Oinj__on(tc_fun(_u10617, _u10618), tc_fun(tc_prod(_u10617, _u10618), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10617, _u10618), tc_HOL_Obool), tc_fun(tc_prod(_u10617, _u10618), tc_HOL_Obool), tc_fun(_u10617, _u10618)), c_Set_OCollect(tc_prod(_u10617, _u10618))), hAPP(hAPP(c_COMBB(tc_fun(_u10617, tc_fun(_u10618, tc_HOL_Obool)), tc_fun(tc_prod(_u10617, _u10618), tc_HOL_Obool), tc_fun(_u10617, _u10618)), c_Product__Type_Oprod_Oprod__case(_u10617, _u10618, tc_HOL_Obool)), hAPP(c_COMBB(_u10618, tc_fun(_u10618, tc_HOL_Obool), _u10617), hAPP(c_COMBC(_u10618, _u10618, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u10617, _u10618), tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nitpick_Oprod__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Nitpick_Oprod__def-1, axiom, ( ( c_Nitpick_Oprod(_u10619, _u10620, _u10621, _u10622) = hAPP(c_Set_OCollect(tc_prod(_u10619, _u10620)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10619, _u10620, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10619, tc_fun(_u10620, tc_HOL_Obool), tc_fun(_u10620, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10620, tc_HOL_Obool), tc_fun(_u10620, tc_HOL_Obool)), _u10619), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10620)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10619), c_fconj), hAPP(hAPP(c_COMBC(_u10619, tc_fun(_u10619, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10619)), _u10621)))), hAPP(hAPP(c_COMBC(_u10620, tc_fun(_u10620, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10620)), _u10622))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__of__aux__code ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__of__aux__code-1, axiom, ( ( _u10625 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u10625, _u10627) = _u10627) )).
% 43.37/43.58 cnf(fact_nat__of__aux__code-2, axiom, ( ( _u10626 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u10626, _u10628) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u10626), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u10628))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__rel__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__rel__def-1, axiom, ( ( c_Divides_Odivmod__int__rel(_u10629, _u10630) = 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, _u10629))), 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), _u10630)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10630))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10630))))), 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)), _u10630)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10630))), 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)))))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__correct ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__correct-1, axiom, ( ( _u10631 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10632, _u10631), c_Divides_Odivmod__int(_u10632, _u10631))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zmult2__lemma ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zmult2__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10633, _u10634), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10635), _u10636))) | ( _u10634 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10637)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10633, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10634), _u10637)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10635), _u10637)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10634), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10635, _u10637))), _u10636)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral_Osize_I1_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nats__number__of ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Nats__number__of-1, axiom, ( ~class_Int_Onumber__ring(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10639)) | hBOOL(hAPP(hAPP(c_member(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10639)), c_Nat_Osemiring__1__class_ONats(_u10638))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__subset__eq2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__subset__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10644, tc_fun(_u10646, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10644, tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_fun(_u10646, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10646, tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_fun(_u10646, tc_HOL_Obool)), _u10644), c_COMBC(_u10646, tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10646, tc_prod(_u10644, _u10646)), tc_fun(_u10646, tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), _u10644), hAPP(c_COMBB(tc_prod(_u10644, _u10646), tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool), _u10646), c_member(tc_prod(_u10644, _u10646)))), c_Product__Type_OPair(_u10644, _u10646)))), _u10648)), hAPP(hAPP(c_COMBC(_u10644, tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_fun(_u10646, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10646, tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_fun(_u10646, tc_HOL_Obool)), _u10644), c_COMBC(_u10646, tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10646, tc_prod(_u10644, _u10646)), tc_fun(_u10646, tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), _u10644), hAPP(c_COMBB(tc_prod(_u10644, _u10646), tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool), _u10646), c_member(tc_prod(_u10644, _u10646)))), c_Product__Type_OPair(_u10644, _u10646)))), _u10650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool)), _u10648), _u10650)) )).
% 43.37/43.58 cnf(fact_pred__subset__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool)), _u10649), _u10651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10645, tc_fun(_u10647, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10645, tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_fun(_u10647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10647, tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_fun(_u10647, tc_HOL_Obool)), _u10645), c_COMBC(_u10647, tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10647, tc_prod(_u10645, _u10647)), tc_fun(_u10647, tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), _u10645), hAPP(c_COMBB(tc_prod(_u10645, _u10647), tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool), _u10647), c_member(tc_prod(_u10645, _u10647)))), c_Product__Type_OPair(_u10645, _u10647)))), _u10649)), hAPP(hAPP(c_COMBC(_u10645, tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_fun(_u10647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10647, tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_fun(_u10647, tc_HOL_Obool)), _u10645), c_COMBC(_u10647, tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10647, tc_prod(_u10645, _u10647)), tc_fun(_u10647, tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), _u10645), hAPP(c_COMBB(tc_prod(_u10645, _u10647), tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool), _u10647), c_member(tc_prod(_u10645, _u10647)))), c_Product__Type_OPair(_u10645, _u10647)))), _u10651))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_inf__Int__eq2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_inf__Int__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10658, tc_fun(_u10660, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10658, tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_fun(_u10660, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10660, tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_fun(_u10660, tc_HOL_Obool)), _u10658), c_COMBC(_u10660, tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10660, tc_prod(_u10658, _u10660)), tc_fun(_u10660, tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), _u10658), hAPP(c_COMBB(tc_prod(_u10658, _u10660), tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool), _u10660), c_member(tc_prod(_u10658, _u10660)))), c_Product__Type_OPair(_u10658, _u10660)))), _u10662)), hAPP(hAPP(c_COMBC(_u10658, tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_fun(_u10660, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10660, tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_fun(_u10660, tc_HOL_Obool)), _u10658), c_COMBC(_u10660, tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10660, tc_prod(_u10658, _u10660)), tc_fun(_u10660, tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), _u10658), hAPP(c_COMBB(tc_prod(_u10658, _u10660), tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool), _u10660), c_member(tc_prod(_u10658, _u10660)))), c_Product__Type_OPair(_u10658, _u10660)))), _u10664)), _u10666), _u10668)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10658, _u10660)), hAPP(hAPP(c_Product__Type_OPair(_u10658, _u10660), _u10666), _u10668)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool)), _u10662), _u10664))) )).
% 43.37/43.58 cnf(fact_inf__Int__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10659, _u10661)), hAPP(hAPP(c_Product__Type_OPair(_u10659, _u10661), _u10667), _u10669)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool)), _u10663), _u10665))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10659, tc_fun(_u10661, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10659, tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_fun(_u10661, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10661, tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_fun(_u10661, tc_HOL_Obool)), _u10659), c_COMBC(_u10661, tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10661, tc_prod(_u10659, _u10661)), tc_fun(_u10661, tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), _u10659), hAPP(c_COMBB(tc_prod(_u10659, _u10661), tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool), _u10661), c_member(tc_prod(_u10659, _u10661)))), c_Product__Type_OPair(_u10659, _u10661)))), _u10663)), hAPP(hAPP(c_COMBC(_u10659, tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_fun(_u10661, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10661, tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_fun(_u10661, tc_HOL_Obool)), _u10659), c_COMBC(_u10661, tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10661, tc_prod(_u10659, _u10661)), tc_fun(_u10661, tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), _u10659), hAPP(c_COMBB(tc_prod(_u10659, _u10661), tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool), _u10661), c_member(tc_prod(_u10659, _u10661)))), c_Product__Type_OPair(_u10659, _u10661)))), _u10665)), _u10667), _u10669)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__equals__eq2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__equals__eq2-1, axiom, ( ( _u10678 = _u10680) | ( hAPP(hAPP(c_COMBC(_u10674, tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_fun(_u10676, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10676, tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_fun(_u10676, tc_HOL_Obool)), _u10674), c_COMBC(_u10676, tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10676, tc_prod(_u10674, _u10676)), tc_fun(_u10676, tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), _u10674), hAPP(c_COMBB(tc_prod(_u10674, _u10676), tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool), _u10676), c_member(tc_prod(_u10674, _u10676)))), c_Product__Type_OPair(_u10674, _u10676)))), _u10678) != hAPP(hAPP(c_COMBC(_u10674, tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_fun(_u10676, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10676, tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_fun(_u10676, tc_HOL_Obool)), _u10674), c_COMBC(_u10676, tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10676, tc_prod(_u10674, _u10676)), tc_fun(_u10676, tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), _u10674), hAPP(c_COMBB(tc_prod(_u10674, _u10676), tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool), _u10676), c_member(tc_prod(_u10674, _u10676)))), c_Product__Type_OPair(_u10674, _u10676)))), _u10680)) )).
% 43.37/43.58 cnf(fact_pred__equals__eq2-2, axiom, ( ( _u10679 != _u10681) | ( hAPP(hAPP(c_COMBC(_u10675, tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_fun(_u10677, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_fun(_u10677, tc_HOL_Obool)), _u10675), c_COMBC(_u10677, tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_prod(_u10675, _u10677)), tc_fun(_u10677, tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), _u10675), hAPP(c_COMBB(tc_prod(_u10675, _u10677), tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool), _u10677), c_member(tc_prod(_u10675, _u10677)))), c_Product__Type_OPair(_u10675, _u10677)))), _u10679) = hAPP(hAPP(c_COMBC(_u10675, tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_fun(_u10677, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_fun(_u10677, tc_HOL_Obool)), _u10675), c_COMBC(_u10677, tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_prod(_u10675, _u10677)), tc_fun(_u10677, tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), _u10675), hAPP(c_COMBB(tc_prod(_u10675, _u10677), tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool), _u10677), c_member(tc_prod(_u10675, _u10677)))), c_Product__Type_OPair(_u10675, _u10677)))), _u10681)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_sup__Un__eq2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_sup__Un__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10688, tc_fun(_u10690, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10688, tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_fun(_u10690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10690, tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_fun(_u10690, tc_HOL_Obool)), _u10688), c_COMBC(_u10690, tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10690, tc_prod(_u10688, _u10690)), tc_fun(_u10690, tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), _u10688), hAPP(c_COMBB(tc_prod(_u10688, _u10690), tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool), _u10690), c_member(tc_prod(_u10688, _u10690)))), c_Product__Type_OPair(_u10688, _u10690)))), _u10692)), hAPP(hAPP(c_COMBC(_u10688, tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_fun(_u10690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10690, tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_fun(_u10690, tc_HOL_Obool)), _u10688), c_COMBC(_u10690, tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10690, tc_prod(_u10688, _u10690)), tc_fun(_u10690, tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), _u10688), hAPP(c_COMBB(tc_prod(_u10688, _u10690), tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool), _u10690), c_member(tc_prod(_u10688, _u10690)))), c_Product__Type_OPair(_u10688, _u10690)))), _u10694)), _u10696), _u10698)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10688, _u10690)), hAPP(hAPP(c_Product__Type_OPair(_u10688, _u10690), _u10696), _u10698)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool)), _u10692), _u10694))) )).
% 43.37/43.58 cnf(fact_sup__Un__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10689, _u10691)), hAPP(hAPP(c_Product__Type_OPair(_u10689, _u10691), _u10697), _u10699)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool)), _u10693), _u10695))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10689, tc_fun(_u10691, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10689, tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_fun(_u10691, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10691, tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_fun(_u10691, tc_HOL_Obool)), _u10689), c_COMBC(_u10691, tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10691, tc_prod(_u10689, _u10691)), tc_fun(_u10691, tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), _u10689), hAPP(c_COMBB(tc_prod(_u10689, _u10691), tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool), _u10691), c_member(tc_prod(_u10689, _u10691)))), c_Product__Type_OPair(_u10689, _u10691)))), _u10693)), hAPP(hAPP(c_COMBC(_u10689, tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_fun(_u10691, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10691, tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_fun(_u10691, tc_HOL_Obool)), _u10689), c_COMBC(_u10691, tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10691, tc_prod(_u10689, _u10691)), tc_fun(_u10691, tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), _u10689), hAPP(c_COMBB(tc_prod(_u10689, _u10691), tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool), _u10691), c_member(tc_prod(_u10689, _u10691)))), c_Product__Type_OPair(_u10689, _u10691)))), _u10695)), _u10697), _u10699)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_bot__empty__eq2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_bot__empty__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10704, tc_fun(_u10706, tc_HOL_Obool))), _u10708), _u10710)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10704, _u10706)), hAPP(hAPP(c_Product__Type_OPair(_u10704, _u10706), _u10708), _u10710)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10704, _u10706), tc_HOL_Obool)))) )).
% 43.37/43.58 cnf(fact_bot__empty__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10705, _u10707)), hAPP(hAPP(c_Product__Type_OPair(_u10705, _u10707), _u10709), _u10711)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10705, _u10707), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10705, tc_fun(_u10707, tc_HOL_Obool))), _u10709), _u10711)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_enum__all__prod__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_enum__all__prod__def-1, axiom, ( ~class_Enum_Oenum(_u10712) | ~class_Enum_Oenum(_u10713) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u10713, _u10712)), _u10714)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u10713), hAPP(hAPP(c_COMBB(tc_fun(_u10712, tc_HOL_Obool), tc_HOL_Obool, _u10713), c_Enum_Oenum__class_Oenum__all(_u10712)), hAPP(hAPP(c_COMBB(tc_fun(_u10712, tc_prod(_u10713, _u10712)), tc_fun(_u10712, tc_HOL_Obool), _u10713), hAPP(c_COMBB(tc_prod(_u10713, _u10712), tc_HOL_Obool, _u10712), _u10714)), c_Product__Type_OPair(_u10713, _u10712))))) )).
% 43.37/43.58 cnf(fact_enum__all__prod__def-2, axiom, ( ~class_Enum_Oenum(_u10712) | ~class_Enum_Oenum(_u10713) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u10713), hAPP(hAPP(c_COMBB(tc_fun(_u10712, tc_HOL_Obool), tc_HOL_Obool, _u10713), c_Enum_Oenum__class_Oenum__all(_u10712)), hAPP(hAPP(c_COMBB(tc_fun(_u10712, tc_prod(_u10713, _u10712)), tc_fun(_u10712, tc_HOL_Obool), _u10713), hAPP(c_COMBB(tc_prod(_u10713, _u10712), tc_HOL_Obool, _u10712), _u10714)), c_Product__Type_OPair(_u10713, _u10712))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u10713, _u10712)), _u10714)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_enum__ex__prod__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_enum__ex__prod__def-1, axiom, ( ~class_Enum_Oenum(_u10715) | ~class_Enum_Oenum(_u10716) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u10716, _u10715)), _u10717)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u10716), hAPP(hAPP(c_COMBB(tc_fun(_u10715, tc_HOL_Obool), tc_HOL_Obool, _u10716), c_Enum_Oenum__class_Oenum__ex(_u10715)), hAPP(hAPP(c_COMBB(tc_fun(_u10715, tc_prod(_u10716, _u10715)), tc_fun(_u10715, tc_HOL_Obool), _u10716), hAPP(c_COMBB(tc_prod(_u10716, _u10715), tc_HOL_Obool, _u10715), _u10717)), c_Product__Type_OPair(_u10716, _u10715))))) )).
% 43.37/43.58 cnf(fact_enum__ex__prod__def-2, axiom, ( ~class_Enum_Oenum(_u10715) | ~class_Enum_Oenum(_u10716) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u10716), hAPP(hAPP(c_COMBB(tc_fun(_u10715, tc_HOL_Obool), tc_HOL_Obool, _u10716), c_Enum_Oenum__class_Oenum__ex(_u10715)), hAPP(hAPP(c_COMBB(tc_fun(_u10715, tc_prod(_u10716, _u10715)), tc_fun(_u10715, tc_HOL_Obool), _u10716), hAPP(c_COMBB(tc_prod(_u10716, _u10715), tc_HOL_Obool, _u10715), _u10717)), c_Product__Type_OPair(_u10716, _u10715))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u10716, _u10715)), _u10717)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Image__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Image__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10725), _u10727), hAPP(c_Relation_OImage(_u10729, _u10725, _u10731), _u10733))) | hBOOL(hAPP(hAPP(c_member(_u10729), skolem257(_u10733, _u10731, _u10729, _u10727, _u10725)), _u10733)) )).
% 43.37/43.58 cnf(fact_Image__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10725), _u10727), hAPP(c_Relation_OImage(_u10729, _u10725, _u10731), _u10733))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10729, _u10725)), hAPP(hAPP(c_Product__Type_OPair(_u10729, _u10725), skolem257(_u10733, _u10731, _u10729, _u10727, _u10725)), _u10727)), _u10731)) )).
% 43.37/43.58 cnf(fact_Image__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10730), _u10719), _u10734)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10730, _u10726)), hAPP(hAPP(c_Product__Type_OPair(_u10730, _u10726), _u10719), _u10728)), _u10732)) | hBOOL(hAPP(hAPP(c_member(_u10726), _u10728), hAPP(c_Relation_OImage(_u10730, _u10726, _u10732), _u10734))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rev__ImageI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rev__ImageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10735), _u10736), _u10737)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10735, _u10738)), hAPP(hAPP(c_Product__Type_OPair(_u10735, _u10738), _u10736), _u10739)), _u10740)) | hBOOL(hAPP(hAPP(c_member(_u10738), _u10739), hAPP(c_Relation_OImage(_u10735, _u10738, _u10740), _u10737))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__rel__0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__rel__0-1, axiom, ( ( _u10741 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u10741), 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_self__remainder ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_self__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10742, _u10742), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10743), _u10744))) | ( _u10742 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10744 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_unique__quotient ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_unique__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10745, _u10746), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10747), _u10748))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10745, _u10746), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10749), _u10750))) | ( _u10746 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10747 = _u10749) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_unique__remainder ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_unique__remainder-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10751, _u10752), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10753), _u10754))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10751, _u10752), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10755), _u10756))) | ( _u10752 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10754 = _u10756) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_SUP__UN__eq2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_SUP__UN__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10763, tc_fun(_u10765, tc_fun(_u10767, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u10763, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_fun(_u10765, tc_fun(_u10767, tc_HOL_Obool)), _u10763), hAPP(c_COMBC(_u10765, tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_fun(_u10767, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10767, tc_fun(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_fun(_u10767, tc_HOL_Obool)), _u10765), c_COMBC(_u10767, tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10767, tc_prod(_u10765, _u10767)), tc_fun(_u10767, tc_fun(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_HOL_Obool)), _u10765), hAPP(c_COMBB(tc_prod(_u10765, _u10767), tc_fun(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_HOL_Obool), _u10767), c_member(tc_prod(_u10765, _u10767)))), c_Product__Type_OPair(_u10765, _u10767))))), _u10769)), _u10771), _u10773)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10765, _u10767)), hAPP(hAPP(c_Product__Type_OPair(_u10765, _u10767), _u10771), _u10773)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10763, tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10763, tc_HOL_Obool))), _u10769))) )).
% 43.37/43.58 cnf(fact_SUP__UN__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10766, _u10768)), hAPP(hAPP(c_Product__Type_OPair(_u10766, _u10768), _u10772), _u10774)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10764, tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10764, tc_HOL_Obool))), _u10770))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10764, tc_fun(_u10766, tc_fun(_u10768, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u10764, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_fun(_u10766, tc_fun(_u10768, tc_HOL_Obool)), _u10764), hAPP(c_COMBC(_u10766, tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_fun(_u10768, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10768, tc_fun(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_fun(_u10768, tc_HOL_Obool)), _u10766), c_COMBC(_u10768, tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10768, tc_prod(_u10766, _u10768)), tc_fun(_u10768, tc_fun(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_HOL_Obool)), _u10766), hAPP(c_COMBB(tc_prod(_u10766, _u10768), tc_fun(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_HOL_Obool), _u10768), c_member(tc_prod(_u10766, _u10768)))), c_Product__Type_OPair(_u10766, _u10768))))), _u10770)), _u10772), _u10774)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_self__quotient ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_self__quotient-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10775, _u10775), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10776), _u10777))) | ( _u10775 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10776 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__rel__mod ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__rel__mod-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10778, _u10779), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10780), _u10781))) | ( _u10779 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10778, _u10779) = _u10781) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__rel__div ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__rel__div-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10782, _u10783), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10784), _u10785))) | ( _u10783 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10782), _u10783) = _u10784) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nats__0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Nats__0-1, axiom, ( ~class_Rings_Osemiring__1(_u10786) | hBOOL(hAPP(hAPP(c_member(_u10786), c_Groups_Ozero__class_Ozero(_u10786)), c_Nat_Osemiring__1__class_ONats(_u10786))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__mod__div ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__mod__div-1, axiom, ( ( c_Divides_Odivmod__int(_u10787, _u10788) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10787), _u10788)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10787, _u10788))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nats__add ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Nats__add-1, axiom, ( ~class_Rings_Osemiring__1(_u10789) | ~hBOOL(hAPP(hAPP(c_member(_u10789), _u10790), c_Nat_Osemiring__1__class_ONats(_u10789))) | ~hBOOL(hAPP(hAPP(c_member(_u10789), _u10791), c_Nat_Osemiring__1__class_ONats(_u10789))) | hBOOL(hAPP(hAPP(c_member(_u10789), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10789), _u10790), _u10791)), c_Nat_Osemiring__1__class_ONats(_u10789))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nats__mult ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Nats__mult-1, axiom, ( ~class_Rings_Osemiring__1(_u10792) | ~hBOOL(hAPP(hAPP(c_member(_u10792), _u10793), c_Nat_Osemiring__1__class_ONats(_u10792))) | ~hBOOL(hAPP(hAPP(c_member(_u10792), _u10794), c_Nat_Osemiring__1__class_ONats(_u10792))) | hBOOL(hAPP(hAPP(c_member(_u10792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10792), _u10793), _u10794)), c_Nat_Osemiring__1__class_ONats(_u10792))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nats__1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Nats__1-1, axiom, ( ~class_Rings_Osemiring__1(_u10795) | hBOOL(hAPP(hAPP(c_member(_u10795), c_Groups_Oone__class_Oone(_u10795)), c_Nat_Osemiring__1__class_ONats(_u10795))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_of__nat__in__Nats ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_of__nat__in__Nats-1, axiom, ( ~class_Rings_Osemiring__1(_u10796) | hBOOL(hAPP(hAPP(c_member(_u10796), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10796), _u10797)), c_Nat_Osemiring__1__class_ONats(_u10796))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Image__singleton__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Image__singleton__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10803), _u10805), hAPP(c_Relation_OImage(_u10807, _u10803, _u10809), hAPP(hAPP(c_Set_Oinsert(_u10807), _u10811), c_Orderings_Obot__class_Obot(tc_fun(_u10807, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10807, _u10803)), hAPP(hAPP(c_Product__Type_OPair(_u10807, _u10803), _u10811), _u10805)), _u10809)) )).
% 43.37/43.58 cnf(fact_Image__singleton__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10808, _u10804)), hAPP(hAPP(c_Product__Type_OPair(_u10808, _u10804), _u10812), _u10806)), _u10810)) | hBOOL(hAPP(hAPP(c_member(_u10804), _u10806), hAPP(c_Relation_OImage(_u10808, _u10804, _u10810), hAPP(hAPP(c_Set_Oinsert(_u10808), _u10812), c_Orderings_Obot__class_Obot(tc_fun(_u10808, tc_HOL_Obool)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__rel__div__mod ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__rel__div__mod-1, axiom, ( ( _u10813 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10814, _u10813), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10814), _u10813)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10814, _u10813)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Image__singleton ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Image__singleton-1, axiom, ( ( hAPP(c_Relation_OImage(_u10815, _u10816, _u10817), hAPP(hAPP(c_Set_Oinsert(_u10815), _u10818), c_Orderings_Obot__class_Obot(tc_fun(_u10815, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u10816), hAPP(hAPP(c_COMBC(_u10816, tc_fun(tc_prod(_u10815, _u10816), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u10815, _u10816), tc_fun(tc_fun(tc_prod(_u10815, _u10816), tc_HOL_Obool), tc_HOL_Obool), _u10816), c_member(tc_prod(_u10815, _u10816))), hAPP(c_Product__Type_OPair(_u10815, _u10816), _u10818))), _u10817))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zadd1__lemma ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zadd1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10819, _u10820), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10821), _u10822))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10823, _u10820), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10824), _u10825))) | ( _u10820 = 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), _u10819), _u10823), _u10820), 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), _u10821), _u10824)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10822), _u10825)), _u10820))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10822), _u10825), _u10820)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zminus1__lemma ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zminus1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10826, _u10827), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10828), _u10829))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10826), _u10827), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u10829), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10828)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10828)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u10829), 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), _u10827), _u10829))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__relI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__relI-1, axiom, ( ( _u10830 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10831), _u10832)), _u10833)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10830, _u10831), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10832), _u10833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10831), _u10833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.58 cnf(fact_divmod__int__relI-2, axiom, ( ( _u10830 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10831), _u10832)), _u10833)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10830, _u10831), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10832), _u10833))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10833), _u10831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10831)) )).
% 43.37/43.58 cnf(fact_divmod__int__relI-3, axiom, ( ( _u10830 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10831), _u10832)), _u10833)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10830, _u10831), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10832), _u10833))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10833), _u10831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10831), _u10833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_zmult1__lemma ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_zmult1__lemma-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10834, _u10835), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10836), _u10837))) | ( _u10835 = 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), _u10838), _u10834), _u10835), 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), _u10838), _u10836)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10838), _u10837)), _u10835))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10838), _u10837), _u10835)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pair__imageI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10839, _u10840)), hAPP(hAPP(c_Product__Type_OPair(_u10839, _u10840), _u10841), _u10842)), _u10843)) | hBOOL(hAPP(hAPP(c_member(_u10844), hAPP(hAPP(_u10845, _u10841), _u10842)), hAPP(c_Set_Oimage(tc_prod(_u10839, _u10840), _u10844, hAPP(c_Product__Type_Oprod_Oprod__case(_u10839, _u10840, _u10844), _u10845)), _u10843))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_norm__frac_Osimps ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_norm__frac_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10848), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10850, _u10848) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10850), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10848))) )).
% 43.37/43.58 cnf(fact_norm__frac_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10849), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10851, _u10849) = 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))) | ( _u10851 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.58 cnf(fact_norm__frac_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10849), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10851, _u10849) = 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))) | ( _u10849 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.58 cnf(fact_norm__frac_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10849), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10851 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10849 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u10851, _u10849) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u10851), _u10849)), 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), _u10851))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10849)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_adjust__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_adjust__eq-1, axiom, ( ( hAPP(c_Divides_Oadjust(_u10852), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10853), _u10854)) = 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), _u10854), _u10852)), 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)))), _u10853)), 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)))), _u10853)), _u10854)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_sup2E ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_sup2E-1, axiom, ( hBOOL(hAPP(hAPP(_u10857, _u10859), _u10860)) | hBOOL(hAPP(hAPP(_u10858, _u10859), _u10860)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10855, tc_fun(_u10856, tc_HOL_Obool))), _u10857), _u10858), _u10859), _u10860)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_sup2CI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_sup2CI-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10865, tc_fun(_u10866, tc_HOL_Obool))), _u10864), _u10861), _u10862), _u10863)) | ~hBOOL(hAPP(hAPP(_u10861, _u10862), _u10863)) )).
% 43.37/43.58 cnf(fact_sup2CI-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10865, tc_fun(_u10866, tc_HOL_Obool))), _u10864), _u10861), _u10862), _u10863)) | ~hBOOL(hAPP(hAPP(_u10864, _u10862), _u10863)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_inf2E ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_inf2E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10867, tc_fun(_u10868, tc_HOL_Obool))), _u10869), _u10870), _u10871), _u10872)) | hBOOL(hAPP(hAPP(_u10869, _u10871), _u10872)) )).
% 43.37/43.58 cnf(fact_inf2E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10867, tc_fun(_u10868, tc_HOL_Obool))), _u10869), _u10870), _u10871), _u10872)) | hBOOL(hAPP(hAPP(_u10870, _u10871), _u10872)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_inf2I ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_inf2I-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10873, _u10874), _u10875)) | ~hBOOL(hAPP(hAPP(_u10876, _u10874), _u10875)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10877, tc_fun(_u10878, tc_HOL_Obool))), _u10873), _u10876), _u10874), _u10875)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mem__splitI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mem__splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u10879), _u10880), hAPP(hAPP(_u10881, _u10882), _u10883))) | hBOOL(hAPP(hAPP(c_member(_u10879), _u10880), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10884, _u10885, tc_fun(_u10879, tc_HOL_Obool)), _u10881), hAPP(hAPP(c_Product__Type_OPair(_u10884, _u10885), _u10882), _u10883)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_prod__caseI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_prod__caseI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10886, _u10887), _u10888)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10889, _u10890, tc_HOL_Obool), _u10886), hAPP(hAPP(c_Product__Type_OPair(_u10889, _u10890), _u10887), _u10888))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_splitI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_splitI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10891, _u10892), _u10893)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10894, _u10895, tc_HOL_Obool), _u10891), hAPP(hAPP(c_Product__Type_OPair(_u10894, _u10895), _u10892), _u10893))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_bot2E ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_bot2E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10896, tc_fun(_u10897, tc_HOL_Obool))), _u10898), _u10899)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_splitD_H ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_splitD_H-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(_u10903, _u10904), _u10905), _u10906)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10900, _u10901, tc_fun(_u10902, tc_HOL_Obool)), _u10903), hAPP(hAPP(c_Product__Type_OPair(_u10900, _u10901), _u10904), _u10905)), _u10906)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_swap__inj__on ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_swap__inj__on-1, axiom, ( c_Fun_Oinj__on(tc_prod(_u10907, _u10908), tc_prod(_u10908, _u10907), hAPP(c_Product__Type_Oprod_Oprod__case(_u10907, _u10908, tc_prod(_u10908, _u10907)), hAPP(c_COMBC(_u10908, _u10907, tc_prod(_u10908, _u10907)), c_Product__Type_OPair(_u10908, _u10907))), _u10909) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_predicate2D ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10912, _u10914), _u10915)) | hBOOL(hAPP(hAPP(_u10913, _u10914), _u10915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10910, tc_fun(_u10911, tc_HOL_Obool))), _u10912), _u10913)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rev__predicate2D ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rev__predicate2D-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10916, _u10917), _u10918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10919, tc_fun(_u10920, tc_HOL_Obool))), _u10916), _u10921)) | hBOOL(hAPP(hAPP(_u10921, _u10917), _u10918)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_sup2I1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_sup2I1-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10922, _u10923), _u10924)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10925, tc_fun(_u10926, tc_HOL_Obool))), _u10922), _u10927), _u10923), _u10924)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_sup2I2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_sup2I2-1, axiom, ( ~hBOOL(hAPP(hAPP(_u10928, _u10929), _u10930)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10931, tc_fun(_u10932, tc_HOL_Obool))), _u10933), _u10928), _u10929), _u10930)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_inf2D2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_inf2D2-1, axiom, ( hBOOL(hAPP(hAPP(_u10937, _u10938), _u10939)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10934, tc_fun(_u10935, tc_HOL_Obool))), _u10936), _u10937), _u10938), _u10939)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_inf2D1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_inf2D1-1, axiom, ( hBOOL(hAPP(hAPP(_u10942, _u10944), _u10945)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10940, tc_fun(_u10941, tc_HOL_Obool))), _u10942), _u10943), _u10944), _u10945)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_split__paired__All ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_split__paired__All-1, axiom, ( ~hBOOL(hAPP(_u10955, skolem258(_u10959, _u10957, _u10955))) | hBOOL(hAPP(_u10955, hAPP(hAPP(c_Product__Type_OPair(_u10957, _u10959), _u10948), _u10947))) )).
% 43.37/43.58 cnf(fact_split__paired__All-2, axiom, ( ~hBOOL(hAPP(_u10956, hAPP(hAPP(c_Product__Type_OPair(_u10958, _u10960), skolem259(_u10960, _u10958, _u10956)), skolem260(_u10960, _u10958, _u10956)))) | hBOOL(hAPP(_u10956, _u10951)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Pair__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Pair__eq-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10967, _u10969), _u10971), _u10973) != hAPP(hAPP(c_Product__Type_OPair(_u10967, _u10969), _u10975), _u10977)) | ( _u10971 = _u10975) )).
% 43.37/43.58 cnf(fact_Pair__eq-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10967, _u10969), _u10971), _u10973) != hAPP(hAPP(c_Product__Type_OPair(_u10967, _u10969), _u10975), _u10977)) | ( _u10973 = _u10977) )).
% 43.37/43.58 cnf(fact_Pair__eq-3, axiom, ( ( _u10972 != _u10976) | ( _u10974 != _u10978) | ( hAPP(hAPP(c_Product__Type_OPair(_u10968, _u10970), _u10972), _u10974) = hAPP(hAPP(c_Product__Type_OPair(_u10968, _u10970), _u10976), _u10978)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Pair__inject ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Pair__inject-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10979, _u10980), _u10981), _u10982) != hAPP(hAPP(c_Product__Type_OPair(_u10979, _u10980), _u10983), _u10984)) | ( _u10981 = _u10983) )).
% 43.37/43.58 cnf(fact_Pair__inject-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10979, _u10980), _u10981), _u10982) != hAPP(hAPP(c_Product__Type_OPair(_u10979, _u10980), _u10983), _u10984)) | ( _u10982 = _u10984) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_split__weak__cong ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_split__weak__cong-1, axiom, ( ( _u10985 != _u10986) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10987, _u10988, _u10989), _u10990), _u10985) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10987, _u10988, _u10989), _u10990), _u10986)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_split__twice ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_split__twice-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10991, _u10992, _u10993), _u10994), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10995, _u10996, tc_prod(_u10991, _u10992)), _u10997), _u10998)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10995, _u10996, _u10993), hAPP(hAPP(c_COMBB(tc_fun(_u10996, tc_prod(_u10991, _u10992)), tc_fun(_u10996, _u10993), _u10995), hAPP(c_COMBB(tc_prod(_u10991, _u10992), _u10993, _u10996), hAPP(c_Product__Type_Oprod_Oprod__case(_u10991, _u10992, _u10993), _u10994))), _u10997)), _u10998)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_prod_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_prod_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10999, _u11000, _u11001), _u11002), hAPP(hAPP(c_Product__Type_OPair(_u10999, _u11000), _u11003), _u11004)) = hAPP(hAPP(_u11002, _u11003), _u11004)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_split__conv ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11005, _u11006, _u11007), _u11008), hAPP(hAPP(c_Product__Type_OPair(_u11005, _u11006), _u11009), _u11010)) = hAPP(hAPP(_u11008, _u11009), _u11010)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_splitD ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_splitD-1, axiom, ( hBOOL(hAPP(hAPP(_u11013, _u11014), _u11015)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11011, _u11012, tc_HOL_Obool), _u11013), hAPP(hAPP(c_Product__Type_OPair(_u11011, _u11012), _u11014), _u11015))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_split__eta ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_split__eta-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u11016, _u11017, _u11018), hAPP(hAPP(c_COMBB(tc_fun(_u11017, tc_prod(_u11016, _u11017)), tc_fun(_u11017, _u11018), _u11016), hAPP(c_COMBB(tc_prod(_u11016, _u11017), _u11018, _u11017), _u11019)), c_Product__Type_OPair(_u11016, _u11017))) = _u11019) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_split__paired__The ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_split__paired__The-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11020, _u11021), _u11022) = c_HOL_OThe(tc_prod(_u11020, _u11021), hAPP(c_Product__Type_Oprod_Oprod__case(_u11020, _u11021, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11021, tc_prod(_u11020, _u11021)), tc_fun(_u11021, tc_HOL_Obool), _u11020), hAPP(c_COMBB(tc_prod(_u11020, _u11021), tc_HOL_Obool, _u11021), _u11022)), c_Product__Type_OPair(_u11020, _u11021))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_The__split__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_The__split__eq-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11023, _u11024), hAPP(c_Product__Type_Oprod_Oprod__case(_u11023, _u11024, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11023, tc_fun(_u11024, tc_HOL_Obool), tc_fun(_u11024, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11024, tc_HOL_Obool), tc_fun(_u11024, tc_HOL_Obool)), _u11023), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11024)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11023), c_fconj), hAPP(c_fequal, _u11025)))), hAPP(c_fequal, _u11026)))) = hAPP(hAPP(c_Product__Type_OPair(_u11023, _u11024), _u11025), _u11026)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_adjust__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_adjust__def-1, axiom, ( ( c_Divides_Oadjust(_u11027) = 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)), _u11027))))), 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)), _u11027))))), 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)))))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_in__rel__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_in__rel__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11033, _u11035, _u11037), _u11039), _u11041)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11033, _u11035)), hAPP(hAPP(c_Product__Type_OPair(_u11033, _u11035), _u11039), _u11041)), _u11037)) )).
% 43.37/43.58 cnf(fact_in__rel__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11034, _u11036)), hAPP(hAPP(c_Product__Type_OPair(_u11034, _u11036), _u11040), _u11042)), _u11038)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11034, _u11036, _u11038), _u11040), _u11042)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__mod__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_div__mod__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u11043, _u11044) = 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), _u11043), _u11044)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11043, _u11044))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11045))) | ~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), _u11045)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11045)) = 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), _u11045)))) )).
% 43.37/43.58 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), _u11045))) | 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), _u11045)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11045)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11045)), 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), _u11045))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negDivAlg__correct ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_negDivAlg__correct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11046), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11047)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11046, _u11047), c_Divides_OnegDivAlg(_u11046, _u11047))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negDivAlg__div__mod ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_negDivAlg__div__mod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11049)) | ( c_Divides_OnegDivAlg(_u11048, _u11049) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11048), _u11049)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11048, _u11049))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negDivAlg__minus1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_negDivAlg__minus1-1, axiom, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11050) = 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), _u11050), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negDivAlg_Osimps ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_negDivAlg_Osimps-1, axiom, ( ( c_Divides_OnegDivAlg(_u11053, _u11055) = 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), _u11053), _u11055))) | ~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), _u11053), _u11055))) )).
% 43.37/43.58 cnf(fact_negDivAlg_Osimps-2, axiom, ( ( c_Divides_OnegDivAlg(_u11053, _u11055) = 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), _u11053), _u11055))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11055), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.58 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), _u11054), _u11056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11056), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11054, _u11056) = hAPP(c_Divides_Oadjust(_u11056), c_Divides_OnegDivAlg(_u11054, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11056)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11057))) | ~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), _u11058)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11058), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)) = 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), _u11058)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)))) )).
% 43.37/43.58 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), _u11057))) | 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), _u11058)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11058), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11058), hAPP(hAPP(c_Groups_Otimes__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), _u11057))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negDivAlg__eqn ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11059)) | ~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), _u11060), _u11059))) | ( c_Divides_OnegDivAlg(_u11060, _u11059) = 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), _u11060), _u11059))) )).
% 43.37/43.58 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)), _u11059)) | 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), _u11060), _u11059))) | ( c_Divides_OnegDivAlg(_u11060, _u11059) = hAPP(c_Divides_Oadjust(_u11059), c_Divides_OnegDivAlg(_u11060, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11059)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Nitpick_Orefl_H__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Nitpick_Orefl_H__def-1, axiom, ( ~c_Nitpick_Orefl_H(_u11065, _u11067) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11065, _u11065)), hAPP(hAPP(c_Product__Type_OPair(_u11065, _u11065), _u11061), _u11061)), _u11067)) )).
% 43.37/43.58 cnf(fact_Nitpick_Orefl_H__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11066, _u11066)), hAPP(hAPP(c_Product__Type_OPair(_u11066, _u11066), skolem261(_u11068, _u11066)), skolem261(_u11068, _u11066))), _u11068)) | c_Nitpick_Orefl_H(_u11066, _u11068) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_posDivAlg__eqn__1__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11069))) | ~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), _u11069))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11069)) = 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))) )).
% 43.37/43.58 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), _u11069))) | 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), _u11069))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11069)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11069)), 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), _u11069))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_posDivAlg_Osimps ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_posDivAlg_Osimps-1, axiom, ( ( c_Divides_OposDivAlg(_u11072, _u11074) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11072), _u11074)) )).
% 43.37/43.58 cnf(fact_posDivAlg_Osimps-2, axiom, ( ( c_Divides_OposDivAlg(_u11072, _u11074) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11074), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.58 cnf(fact_posDivAlg_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11073), _u11075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11075), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11073, _u11075) = hAPP(c_Divides_Oadjust(_u11075), c_Divides_OposDivAlg(_u11073, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11075)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_posDivAlg__0 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_posDivAlg__0-1, axiom, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11076) = 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_posDivAlg__correct ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11078)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11077, _u11078), c_Divides_OposDivAlg(_u11077, _u11078))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_posDivAlg__div__mod ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11079)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11080)) | ( c_Divides_OposDivAlg(_u11079, _u11080) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11079), _u11080)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11079, _u11080))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_posDivAlg__eqn ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11081)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11082), _u11081)) | ( c_Divides_OposDivAlg(_u11082, _u11081) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11082)) )).
% 43.37/43.58 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)), _u11081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11082), _u11081)) | ( c_Divides_OposDivAlg(_u11082, _u11081) = hAPP(c_Divides_Oadjust(_u11081), c_Divides_OposDivAlg(_u11082, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11081)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_posDivAlg__eqn__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11083))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083)) = 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), _u11084))) )).
% 43.37/43.58 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), _u11083))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084), hAPP(hAPP(c_Groups_Otimes__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), _u11083))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__def ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11089)) | ( c_Divides_Odivmod__int(_u11087, _u11089) = c_Divides_OposDivAlg(_u11087, _u11089)) )).
% 43.37/43.58 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)), _u11087)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11089)) | ( _u11087 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11087, _u11089) = 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))) )).
% 43.37/43.58 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)), _u11087)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11089)) | ( _u11087 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11087, _u11089) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11087), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11089)))) )).
% 43.37/43.58 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)), _u11088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11090)) | ( c_Divides_Odivmod__int(_u11088, _u11090) = c_Divides_OnegDivAlg(_u11088, _u11090)) )).
% 43.37/43.58 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)), _u11088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11090)) | ( c_Divides_Odivmod__int(_u11088, _u11090) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11088), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11090)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__step ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11091), _u11092)) | ( c_Divides_Odivmod__nat(_u11092, _u11091) = 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), _u11092), _u11091)), _u11091))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11092), _u11091), _u11091))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__pdivmod ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__pdivmod-1, axiom, ( ( _u11095 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11095, _u11097) = 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))) )).
% 43.37/43.58 cnf(fact_divmod__int__pdivmod-2, axiom, ( ( _u11096 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11098 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11096, _u11098) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11096)) )).
% 43.37/43.58 cnf(fact_divmod__int__pdivmod-3, axiom, ( ( _u11096 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11098 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11096, _u11098) = 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, _u11098))), 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)), _u11098)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11096))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11098), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11096), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u11096, _u11098)), 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), _u11098))))), c_Divides_Opdivmod(_u11096, _u11098))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negateSnd__def ( axiom ) converted to clauses:
% 43.37/43.58 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))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_apsnd__conv ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_apsnd__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11099, _u11100, _u11101, _u11102), hAPP(hAPP(c_Product__Type_OPair(_u11101, _u11099), _u11103), _u11104)) = hAPP(hAPP(c_Product__Type_OPair(_u11101, _u11100), _u11103), hAPP(_u11102, _u11104))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__zero ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__zero-1, axiom, ( ( c_Divides_Odivmod__nat(_u11105, 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)), _u11105)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__base ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__base-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11106), _u11107)) | ( c_Divides_Odivmod__nat(_u11106, _u11107) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11106)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negateSnd__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_negateSnd__eq-1, axiom, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11108), _u11109)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11108), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11109))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__div__mod ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__div__mod-1, axiom, ( ( c_Divides_Odivmod__nat(_u11110, _u11111) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11110), _u11111)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11110, _u11111))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__rel__neg ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__rel__neg-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11112), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11113)), _u11114)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11112, _u11113), hAPP(c_Divides_OnegateSnd, _u11114))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__if ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__if-1, axiom, ( ( c_Divides_Odivmod__nat(_u11119, _u11117) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11119)) | ( _u11117 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.58 cnf(fact_divmod__nat__if-2, axiom, ( ( c_Divides_Odivmod__nat(_u11119, _u11117) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11119), _u11117)) )).
% 43.37/43.58 cnf(fact_divmod__nat__if-3, axiom, ( ( _u11118 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11120), _u11118)) | ( c_Divides_Odivmod__nat(_u11120, _u11118) = 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), _u11120), _u11118), _u11118))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pdivmod__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pdivmod__def-1, axiom, ( ( c_Divides_Opdivmod(_u11121, _u11122) = 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), _u11121)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11122))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11121), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11122)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pdivmod__posDivAlg ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pdivmod__posDivAlg-1, axiom, ( ( _u11125 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11127, _u11125) = 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), _u11127))) )).
% 43.37/43.58 cnf(fact_pdivmod__posDivAlg-2, axiom, ( ( _u11126 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11128, _u11126) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11128), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11126))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__int__code ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__int__code-1, axiom, ( ( _u11131 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11131, _u11133) = 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))) )).
% 43.37/43.58 cnf(fact_divmod__int__code-2, axiom, ( ( _u11132 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11134 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11132, _u11134) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11132)) )).
% 43.37/43.58 cnf(fact_divmod__int__code-3, axiom, ( ( _u11132 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11134 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11132, _u11134) = 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, _u11134))), 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, _u11132)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11134))), c_Divides_Opdivmod(_u11132, _u11134)), 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), _u11134))))), c_Divides_Opdivmod(_u11132, _u11134))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__rel__mult2__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__rel__mult2__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11135, _u11136), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11137), _u11138))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11139)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11135, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11136), _u11139)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11137), _u11139)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11136), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11137, _u11139))), _u11138)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__rel__mult1__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__rel__mult1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11140, _u11141), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11142), _u11143))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11141)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11144), _u11140), _u11141), 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), _u11144), _u11142)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11144), _u11143)), _u11141))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11144), _u11143), _u11141)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negDivAlg_Opsimps ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11145), _u11146))) | ( c_Divides_OnegDivAlg(_u11145, _u11146) = 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), _u11145), _u11146))) | ~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), _u11145), _u11146))) )).
% 43.37/43.58 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), _u11145), _u11146))) | ( c_Divides_OnegDivAlg(_u11145, _u11146) = 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), _u11145), _u11146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11146), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.58 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), _u11145), _u11146))) | 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), _u11145), _u11146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11146), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11145, _u11146) = hAPP(c_Divides_Oadjust(_u11146), c_Divides_OnegDivAlg(_u11145, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11146)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__rel__unique ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__rel__unique-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11147, _u11148), _u11149)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11147, _u11148), _u11150)) | ( _u11149 = _u11150) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11151, _u11152), _u11153)) | ( c_Divides_Odivmod__nat(_u11151, _u11152) = _u11153) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__rel__divmod__nat ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__rel__divmod__nat-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11154, _u11155), c_Divides_Odivmod__nat(_u11154, _u11155))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__def-1, axiom, ( ( c_Divides_Odivmod__nat(_u11156, _u11157) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11156, _u11157))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mod__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11158, _u11159), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11160), _u11161))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11158, _u11159) = _u11161) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_div__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11162, _u11163), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11164), _u11165))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11162), _u11163) = _u11164) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__rel ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__rel-1, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11166, _u11167), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11166), _u11167)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11166, _u11167)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__rel__add1__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__rel__add1__eq-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11168, _u11169), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11170), _u11171))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11172, _u11169), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11173), _u11174))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11169)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11168), _u11172), _u11169), 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), _u11170), _u11173)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11171), _u11174)), _u11169))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11171), _u11174), _u11169)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_posDivAlg_Opsimps ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11175), _u11176))) | ( c_Divides_OposDivAlg(_u11175, _u11176) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11175), _u11176)) )).
% 43.37/43.58 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), _u11175), _u11176))) | ( c_Divides_OposDivAlg(_u11175, _u11176) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11176), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.58 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), _u11175), _u11176))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11175), _u11176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11176), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11175, _u11176) = hAPP(c_Divides_Oadjust(_u11176), c_Divides_OposDivAlg(_u11175, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11176)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_norm__frac_Opsimps ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11177), _u11178))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11177, _u11178) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11177), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11178))) )).
% 43.37/43.58 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), _u11177), _u11178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11177, _u11178) = 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))) | ( _u11177 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.58 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), _u11177), _u11178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11177, _u11178) = 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))) | ( _u11178 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.58 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), _u11177), _u11178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u11177 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11178 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u11177, _u11178) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u11177), _u11178)), 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), _u11177))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11178)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_negDivAlg_Opinduct ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11181), _u11182))) | hBOOL(hAPP(hAPP(_u11183, _u11181), _u11182)) | 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), skolem262(_u11183, _u11182, _u11181)), skolem263(_u11183, _u11182, _u11181)))) )).
% 43.37/43.58 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), _u11181), _u11182))) | hBOOL(hAPP(hAPP(_u11183, _u11181), _u11182)) | 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), skolem262(_u11183, _u11182, _u11181)), skolem263(_u11183, _u11182, _u11181)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem263(_u11183, _u11182, _u11181)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11183, skolem262(_u11183, _u11182, _u11181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem263(_u11183, _u11182, _u11181)))) )).
% 43.37/43.58 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), _u11181), _u11182))) | hBOOL(hAPP(hAPP(_u11183, _u11181), _u11182)) | ~hBOOL(hAPP(hAPP(_u11183, skolem262(_u11183, _u11182, _u11181)), skolem263(_u11183, _u11182, _u11181))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_posDivAlg_Opinduct ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11186), _u11187))) | hBOOL(hAPP(hAPP(_u11188, _u11186), _u11187)) | 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), skolem264(_u11188, _u11187, _u11186)), skolem265(_u11188, _u11187, _u11186)))) )).
% 43.37/43.58 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), _u11186), _u11187))) | hBOOL(hAPP(hAPP(_u11188, _u11186), _u11187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem264(_u11188, _u11187, _u11186)), skolem265(_u11188, _u11187, _u11186))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem265(_u11188, _u11187, _u11186)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11188, skolem264(_u11188, _u11187, _u11186)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem265(_u11188, _u11187, _u11186)))) )).
% 43.37/43.58 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), _u11186), _u11187))) | hBOOL(hAPP(hAPP(_u11188, _u11186), _u11187)) | ~hBOOL(hAPP(hAPP(_u11188, skolem264(_u11188, _u11187, _u11186)), skolem265(_u11188, _u11187, _u11186))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_accp__subset ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_accp__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11189, tc_fun(_u11189, tc_HOL_Obool))), _u11190), _u11191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11189, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u11189, _u11191)), c_Wellfounded_Oaccp(_u11189, _u11190))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__pos__neg__1__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11192)), 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), _u11192)) = 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), _u11192)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_snd__conv ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_snd__conv-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u11193, _u11194), hAPP(hAPP(c_Product__Type_OPair(_u11193, _u11194), _u11195), _u11196)) = _u11196) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_snd__eqD ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_snd__eqD-1, axiom, ( ( _u11200 = _u11201) | ( hAPP(c_Product__Type_Osnd(_u11197, _u11198), hAPP(hAPP(c_Product__Type_OPair(_u11197, _u11198), _u11199), _u11200)) != _u11201) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_snd__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_snd__def-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u11202, _u11203), _u11204) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11202, _u11203, _u11203), hAPP(c_COMBK(tc_fun(_u11203, _u11203), _u11202), c_COMBI(_u11203))), _u11204)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_apsnd__eq__conv ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_apsnd__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11211, _u11213, _u11215, _u11217), _u11219) != hAPP(c_Product__Type_Oapsnd(_u11211, _u11213, _u11215, _u11221), _u11219)) | ( hAPP(_u11217, hAPP(c_Product__Type_Osnd(_u11215, _u11211), _u11219)) = hAPP(_u11221, hAPP(c_Product__Type_Osnd(_u11215, _u11211), _u11219))) )).
% 43.37/43.58 cnf(fact_apsnd__eq__conv-2, axiom, ( ( hAPP(_u11218, hAPP(c_Product__Type_Osnd(_u11216, _u11212), _u11220)) != hAPP(_u11222, hAPP(c_Product__Type_Osnd(_u11216, _u11212), _u11220))) | ( hAPP(c_Product__Type_Oapsnd(_u11212, _u11214, _u11216, _u11218), _u11220) = hAPP(c_Product__Type_Oapsnd(_u11212, _u11214, _u11216, _u11222), _u11220)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_snd__apsnd ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_snd__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u11223, _u11224), hAPP(c_Product__Type_Oapsnd(_u11225, _u11224, _u11223, _u11226), _u11227)) = hAPP(_u11226, hAPP(c_Product__Type_Osnd(_u11223, _u11225), _u11227))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__int__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mod__int__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11228, _u11229) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11228, _u11229))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_accp_Osimps ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_accp_Osimps-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11235, _u11237), _u11239)) | ~hBOOL(hAPP(hAPP(_u11237, _u11230), _u11239)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11235, _u11237), _u11230)) )).
% 43.37/43.58 cnf(fact_accp_Osimps-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11236, _u11238), _u11240)) | hBOOL(hAPP(hAPP(_u11238, skolem266(_u11240, _u11238, _u11236)), _u11240)) )).
% 43.37/43.58 cnf(fact_accp_Osimps-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11236, _u11238), _u11240)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11236, _u11238), skolem266(_u11240, _u11238, _u11236))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_accp_Oequations ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_accp_Oequations-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11246, _u11248), _u11250)) | ~hBOOL(hAPP(hAPP(_u11248, _u11241), _u11250)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11246, _u11248), _u11241)) )).
% 43.37/43.58 cnf(fact_accp_Oequations-2, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11247, _u11249), _u11251)) | hBOOL(hAPP(hAPP(_u11249, skolem267(_u11251, _u11249, _u11247)), _u11251)) )).
% 43.37/43.58 cnf(fact_accp_Oequations-3, axiom, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11247, _u11249), _u11251)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11247, _u11249), skolem267(_u11251, _u11249, _u11247))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_accp__downward ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_accp__downward-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11252, _u11253), _u11254)) | ~hBOOL(hAPP(hAPP(_u11253, _u11255), _u11254)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11252, _u11253), _u11255)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__neg__pos ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mod__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11256), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11257)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11256, _u11257) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11256, _u11257))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__pos__pos ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11259)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11258, _u11259) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11258, _u11259))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__pos__pos__1__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11260))) | ( 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), _u11260)) = 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), _u11260)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__pos__neg ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11262), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11261, _u11262) = 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), _u11261), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11262))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__neg__neg ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mod__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11263), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11264), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11263, _u11264) = 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), _u11263), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11264))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__gcd_Opsimps ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11265), _u11266))) | ( _u11266 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u11265, _u11266) = _u11265) )).
% 43.37/43.58 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), _u11265), _u11266))) | ( _u11266 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u11265, _u11266) = c_Nitpick_Onat__gcd(_u11266, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11265, _u11266))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat_Osize_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat_Osize_I2_J-1, axiom, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u11267)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u11267)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_in__measure ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_in__measure-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11278, _u11274)), hAPP(_u11278, _u11276))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11274), _u11276)), hAPP(c_Wellfounded_Omeasure(_u11272), _u11278))) )).
% 43.37/43.58 cnf(fact_in__measure-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11279, _u11275)), hAPP(_u11279, _u11277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11273, _u11273)), hAPP(hAPP(c_Product__Type_OPair(_u11273, _u11273), _u11275), _u11277)), hAPP(c_Wellfounded_Omeasure(_u11273), _u11279))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mod__nat__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mod__nat__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11280, _u11281) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11280, _u11281))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat_Osize_I1_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_irrefl__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_irrefl__def-1, axiom, ( ~c_Relation_Oirrefl(_u11286, _u11288) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11286, _u11286)), hAPP(hAPP(c_Product__Type_OPair(_u11286, _u11286), _u11282), _u11282)), _u11288)) )).
% 43.37/43.58 cnf(fact_irrefl__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11287, _u11287)), hAPP(hAPP(c_Product__Type_OPair(_u11287, _u11287), skolem268(_u11289, _u11287)), skolem268(_u11289, _u11287))), _u11289)) | c_Relation_Oirrefl(_u11287, _u11289) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_norm__frac_Opinduct ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11292), _u11293))) | hBOOL(hAPP(hAPP(_u11294, _u11292), _u11293)) | 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), skolem269(_u11294, _u11293, _u11292)), skolem270(_u11294, _u11293, _u11292)))) )).
% 43.37/43.58 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), _u11292), _u11293))) | hBOOL(hAPP(hAPP(_u11294, _u11292), _u11293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem270(_u11294, _u11293, _u11292)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11294, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem269(_u11294, _u11293, _u11292))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem270(_u11294, _u11293, _u11292)))) )).
% 43.37/43.58 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), _u11292), _u11293))) | hBOOL(hAPP(hAPP(_u11294, _u11292), _u11293)) | ~hBOOL(hAPP(hAPP(_u11294, skolem269(_u11294, _u11293, _u11292)), skolem270(_u11294, _u11293, _u11292))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__pos__neg__1__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11295)), 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), _u11295)) = 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), _u11295)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_prod__eqI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_prod__eqI-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11296, _u11297), _u11298) != hAPP(c_Product__Type_Ofst(_u11296, _u11297), _u11299)) | ( hAPP(c_Product__Type_Osnd(_u11296, _u11297), _u11298) != hAPP(c_Product__Type_Osnd(_u11296, _u11297), _u11299)) | ( _u11298 = _u11299) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Pair__fst__snd__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Pair__fst__snd__eq-1, axiom, ( ( _u11304 != _u11306) | ( hAPP(c_Product__Type_Ofst(_u11308, _u11310), _u11304) = hAPP(c_Product__Type_Ofst(_u11308, _u11310), _u11306)) )).
% 43.37/43.58 cnf(fact_Pair__fst__snd__eq-2, axiom, ( ( _u11304 != _u11306) | ( hAPP(c_Product__Type_Osnd(_u11308, _u11310), _u11304) = hAPP(c_Product__Type_Osnd(_u11308, _u11310), _u11306)) )).
% 43.37/43.58 cnf(fact_Pair__fst__snd__eq-3, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11309, _u11311), _u11305) != hAPP(c_Product__Type_Ofst(_u11309, _u11311), _u11307)) | ( hAPP(c_Product__Type_Osnd(_u11309, _u11311), _u11305) != hAPP(c_Product__Type_Osnd(_u11309, _u11311), _u11307)) | ( _u11305 = _u11307) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_fst__conv ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_fst__conv-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11312, _u11313), hAPP(hAPP(c_Product__Type_OPair(_u11312, _u11313), _u11314), _u11315)) = _u11314) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_fst__eqD ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_fst__eqD-1, axiom, ( ( _u11318 = _u11320) | ( hAPP(c_Product__Type_Ofst(_u11316, _u11317), hAPP(hAPP(c_Product__Type_OPair(_u11316, _u11317), _u11318), _u11319)) != _u11320) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_fst__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_fst__def-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11321, _u11322), _u11323) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11321, _u11322, _u11321), c_COMBK(_u11321, _u11322)), _u11323)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_fst__apsnd ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_fst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11324, _u11325), hAPP(c_Product__Type_Oapsnd(_u11326, _u11325, _u11324, _u11327), _u11328)) = hAPP(c_Product__Type_Ofst(_u11324, _u11326), _u11328)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_surjective__pairing ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_surjective__pairing-1, axiom, ( ( _u11329 = hAPP(hAPP(c_Product__Type_OPair(_u11330, _u11331), hAPP(c_Product__Type_Ofst(_u11330, _u11331), _u11329)), hAPP(c_Product__Type_Osnd(_u11330, _u11331), _u11329))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pair__collapse ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pair__collapse-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11332, _u11333), hAPP(c_Product__Type_Ofst(_u11332, _u11333), _u11334)), hAPP(c_Product__Type_Osnd(_u11332, _u11333), _u11334)) = _u11334) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_prod__case__beta ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_prod__case__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11335, _u11336, _u11337), _u11338), _u11339) = hAPP(hAPP(_u11338, hAPP(c_Product__Type_Ofst(_u11335, _u11336), _u11339)), hAPP(c_Product__Type_Osnd(_u11335, _u11336), _u11339))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__int__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_div__int__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11340), _u11341) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11340, _u11341))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_split__comp__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_split__comp__eq-1, axiom, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u11342, _u11343), _u11343, _u11344), hAPP(hAPP(c_COMBB(_u11345, tc_fun(_u11343, _u11344), tc_prod(_u11342, _u11343)), _u11346), hAPP(hAPP(c_COMBB(_u11342, _u11345, tc_prod(_u11342, _u11343)), _u11347), c_Product__Type_Ofst(_u11342, _u11343)))), c_Product__Type_Osnd(_u11342, _u11343)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11342, _u11343, _u11344), hAPP(hAPP(c_COMBB(_u11345, tc_fun(_u11343, _u11344), _u11342), _u11346), _u11347))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_split__beta ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_split__beta-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11348, _u11349, _u11350), _u11351), _u11352) = hAPP(hAPP(_u11351, hAPP(c_Product__Type_Ofst(_u11348, _u11349), _u11352)), hAPP(c_Product__Type_Osnd(_u11348, _u11349), _u11352))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_split__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_split__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11353, _u11354, _u11355), _u11356), _u11357) = hAPP(hAPP(_u11356, hAPP(c_Product__Type_Ofst(_u11353, _u11354), _u11357)), hAPP(c_Product__Type_Osnd(_u11353, _u11354), _u11357))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_The__split ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_The__split-1, axiom, ( ( c_HOL_OThe(tc_prod(_u11358, _u11359), hAPP(c_Product__Type_Oprod_Oprod__case(_u11358, _u11359, tc_HOL_Obool), _u11360)) = c_HOL_OThe(tc_prod(_u11358, _u11359), hAPP(hAPP(c_COMBS(tc_prod(_u11358, _u11359), _u11359, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11358, tc_fun(_u11359, tc_HOL_Obool), tc_prod(_u11358, _u11359)), _u11360), c_Product__Type_Ofst(_u11358, _u11359))), c_Product__Type_Osnd(_u11358, _u11359)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__neg__pos ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_div__neg__pos-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11361), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11362)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11361), _u11362) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11361, _u11362))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__pos__pos ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11364)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11363), _u11364) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11363, _u11364))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__pos__pos__1__number__of ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11365))) | ( 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), _u11365)) = 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), _u11365)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__pos__neg ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11367), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11366), _u11367) = 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), _u11366), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11367))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__neg__neg ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_div__neg__neg-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11368), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11369), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11368), _u11369) = 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), _u11368), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11369))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_prod__size__simp ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_prod__size__simp-1, axiom, ( ( c_Product__Type_Oprod_Oprod__size(_u11370, _u11371, _u11372, _u11373, _u11374) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u11372, hAPP(c_Product__Type_Ofst(_u11370, _u11371), _u11374))), hAPP(_u11373, hAPP(c_Product__Type_Osnd(_u11370, _u11371), _u11374)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_conjI__realizer ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_conjI__realizer-1, axiom, ( ~hBOOL(hAPP(_u11375, _u11376)) | ~hBOOL(hAPP(_u11377, _u11378)) | hBOOL(hAPP(_u11375, hAPP(c_Product__Type_Ofst(_u11379, _u11380), hAPP(hAPP(c_Product__Type_OPair(_u11379, _u11380), _u11376), _u11378)))) )).
% 43.37/43.58 cnf(fact_conjI__realizer-2, axiom, ( ~hBOOL(hAPP(_u11375, _u11376)) | ~hBOOL(hAPP(_u11377, _u11378)) | hBOOL(hAPP(_u11377, hAPP(c_Product__Type_Osnd(_u11379, _u11380), hAPP(hAPP(c_Product__Type_OPair(_u11379, _u11380), _u11376), _u11378)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_exI__realizer ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_exI__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11381, _u11382), _u11383)) | hBOOL(hAPP(hAPP(_u11381, hAPP(c_Product__Type_Osnd(_u11384, _u11385), hAPP(hAPP(c_Product__Type_OPair(_u11384, _u11385), _u11383), _u11382))), hAPP(c_Product__Type_Ofst(_u11384, _u11385), hAPP(hAPP(c_Product__Type_OPair(_u11384, _u11385), _u11383), _u11382)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_div__nat__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_div__nat__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11386), _u11387) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11386, _u11387))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_divmod__nat__rel__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-1, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11391 = 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), _u11395)), _u11393)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11395))) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-2, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11395) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-3, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 = 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)), _u11393)) | 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), _u11395))) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-4, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 = 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)), _u11393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11395)), _u11393)) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-5, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 = 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)), _u11393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11393), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11395))) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-6, axiom, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 = 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)), _u11393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11395)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-7, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( _u11394 = 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)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11394), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-8, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( _u11394 = 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), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11394)) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-9, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( _u11394 = 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), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11394), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-10, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11396) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u11394 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-11, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11396) != 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)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11394), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-12, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11396) != 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), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11394)) )).
% 43.37/43.58 cnf(fact_divmod__nat__rel__def-13, axiom, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11396) != 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), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11394), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__def-1, axiom, ( ( hAPP(c_Int_Onat, _u11397) = 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, _u11397)), 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))))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__gcd_Opinduct ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11400), _u11401))) | hBOOL(hAPP(hAPP(_u11402, _u11400), _u11401)) | 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), skolem271(_u11402, _u11401, _u11400)), skolem272(_u11402, _u11401, _u11400)))) )).
% 43.37/43.58 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), _u11400), _u11401))) | hBOOL(hAPP(hAPP(_u11402, _u11400), _u11401)) | ( skolem272(_u11402, _u11401, _u11400) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u11402, skolem272(_u11402, _u11401, _u11400)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem271(_u11402, _u11401, _u11400), skolem272(_u11402, _u11401, _u11400)))) )).
% 43.37/43.58 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), _u11400), _u11401))) | hBOOL(hAPP(hAPP(_u11402, _u11400), _u11401)) | ~hBOOL(hAPP(hAPP(_u11402, skolem271(_u11402, _u11401, _u11400)), skolem272(_u11402, _u11401, _u11400))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_inv__image__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_inv__image__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u11403, _u11404), _u11405), _u11406) = hAPP(c_Set_OCollect(tc_prod(_u11404, _u11404)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11404, _u11404, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11404, tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_fun(_u11404, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11404, tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_fun(_u11404, tc_HOL_Obool)), _u11404), c_COMBC(_u11404, tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11404, tc_prod(_u11403, _u11403)), tc_fun(_u11404, tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_HOL_Obool)), _u11404), hAPP(c_COMBB(tc_prod(_u11403, _u11403), tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_HOL_Obool), _u11404), c_member(tc_prod(_u11403, _u11403)))), hAPP(hAPP(c_COMBC(_u11404, tc_fun(_u11404, _u11403), tc_fun(_u11404, tc_prod(_u11403, _u11403))), hAPP(hAPP(c_COMBB(tc_fun(_u11403, tc_prod(_u11403, _u11403)), tc_fun(tc_fun(_u11404, _u11403), tc_fun(_u11404, tc_prod(_u11403, _u11403))), _u11404), c_COMBB(_u11403, tc_prod(_u11403, _u11403), _u11404)), hAPP(hAPP(c_COMBB(_u11403, tc_fun(_u11403, tc_prod(_u11403, _u11403)), _u11404), c_Product__Type_OPair(_u11403, _u11403)), _u11406))), _u11406)))), _u11405)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Rep__Integ__inject ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Rep__Integ__inject-1, axiom, ( ( hAPP(c_Int_ORep__Integ, _u11409) != hAPP(c_Int_ORep__Integ, _u11411)) | ( _u11409 = _u11411) )).
% 43.37/43.58 cnf(fact_Rep__Integ__inject-2, axiom, ( ( _u11410 != _u11412) | ( hAPP(c_Int_ORep__Integ, _u11410) = hAPP(c_Int_ORep__Integ, _u11412)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_in__inv__image ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_in__inv__image-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11425, _u11425)), hAPP(hAPP(c_Product__Type_OPair(_u11425, _u11425), hAPP(_u11429, _u11421)), hAPP(_u11429, _u11423))), _u11427)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11419, _u11419)), hAPP(hAPP(c_Product__Type_OPair(_u11419, _u11419), _u11421), _u11423)), hAPP(hAPP(c_Relation_Oinv__image(_u11425, _u11419), _u11427), _u11429))) )).
% 43.37/43.58 cnf(fact_in__inv__image-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11426, _u11426)), hAPP(hAPP(c_Product__Type_OPair(_u11426, _u11426), hAPP(_u11430, _u11422)), hAPP(_u11430, _u11424))), _u11428)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11420, _u11420)), hAPP(hAPP(c_Product__Type_OPair(_u11420, _u11420), _u11422), _u11424)), hAPP(hAPP(c_Relation_Oinv__image(_u11426, _u11420), _u11428), _u11430))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rp__inv__image__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rp__inv__image__def-1, axiom, ( ( c_FunDef_Orp__inv__image(_u11431, _u11432) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))))), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool)), c_COMBS(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)), tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))), tc_fun(_u11432, _u11431)), c_Product__Type_OPair(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), c_Relation_Oinv__image(_u11431, _u11432))))), c_Relation_Oinv__image(_u11431, _u11432)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equiv__class__nondisjoint ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equiv__class__nondisjoint-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11433, _u11434, _u11435) | ~hBOOL(hAPP(hAPP(c_member(_u11433), _u11436), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11433, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11433, _u11433, _u11435), hAPP(hAPP(c_Set_Oinsert(_u11433), _u11437), c_Orderings_Obot__class_Obot(tc_fun(_u11433, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11433, _u11433, _u11435), hAPP(hAPP(c_Set_Oinsert(_u11433), _u11438), c_Orderings_Obot__class_Obot(tc_fun(_u11433, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11433, _u11433)), hAPP(hAPP(c_Product__Type_OPair(_u11433, _u11433), _u11437), _u11438)), _u11435)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_subset__equiv__class ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_subset__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11439, _u11440, _u11441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11439, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11439, _u11439, _u11441), hAPP(hAPP(c_Set_Oinsert(_u11439), _u11442), c_Orderings_Obot__class_Obot(tc_fun(_u11439, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11439, _u11439, _u11441), hAPP(hAPP(c_Set_Oinsert(_u11439), _u11443), c_Orderings_Obot__class_Obot(tc_fun(_u11439, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11439), _u11442), _u11440)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11439, _u11439)), hAPP(hAPP(c_Product__Type_OPair(_u11439, _u11439), _u11443), _u11442)), _u11441)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equiv__class__self ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equiv__class__self-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11444, _u11445, _u11446) | ~hBOOL(hAPP(hAPP(c_member(_u11444), _u11447), _u11445)) | hBOOL(hAPP(hAPP(c_member(_u11444), _u11447), hAPP(c_Relation_OImage(_u11444, _u11444, _u11446), hAPP(hAPP(c_Set_Oinsert(_u11444), _u11447), c_Orderings_Obot__class_Obot(tc_fun(_u11444, tc_HOL_Obool)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_quotient__disj ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_quotient__disj-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11448, _u11449, _u11450) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11448, tc_HOL_Obool)), _u11451), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11448), _u11449), _u11450))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11448, tc_HOL_Obool)), _u11452), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11448), _u11449), _u11450))) | ( _u11451 = _u11452) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11448, tc_HOL_Obool)), _u11451), _u11452) = c_Orderings_Obot__class_Obot(tc_fun(_u11448, tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equiv__class__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equiv__class__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11453, _u11454, _u11455) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11453, _u11453)), hAPP(hAPP(c_Product__Type_OPair(_u11453, _u11453), _u11456), _u11457)), _u11455)) | ( hAPP(c_Relation_OImage(_u11453, _u11453, _u11455), hAPP(hAPP(c_Set_Oinsert(_u11453), _u11456), c_Orderings_Obot__class_Obot(tc_fun(_u11453, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11453, _u11453, _u11455), hAPP(hAPP(c_Set_Oinsert(_u11453), _u11457), c_Orderings_Obot__class_Obot(tc_fun(_u11453, tc_HOL_Obool))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_quotient__eq__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_quotient__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11458, _u11459, _u11460) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11458, tc_HOL_Obool)), _u11461), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11458), _u11459), _u11460))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11458, tc_HOL_Obool)), _u11462), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11458), _u11459), _u11460))) | ~hBOOL(hAPP(hAPP(c_member(_u11458), _u11463), _u11461)) | ~hBOOL(hAPP(hAPP(c_member(_u11458), _u11464), _u11462)) | ( _u11461 != _u11462) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11458, _u11458)), hAPP(hAPP(c_Product__Type_OPair(_u11458, _u11458), _u11463), _u11464)), _u11460)) )).
% 43.37/43.58 cnf(fact_quotient__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11458, _u11459, _u11460) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11458, tc_HOL_Obool)), _u11461), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11458), _u11459), _u11460))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11458, tc_HOL_Obool)), _u11462), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11458), _u11459), _u11460))) | ~hBOOL(hAPP(hAPP(c_member(_u11458), _u11463), _u11461)) | ~hBOOL(hAPP(hAPP(c_member(_u11458), _u11464), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11458, _u11458)), hAPP(hAPP(c_Product__Type_OPair(_u11458, _u11458), _u11463), _u11464)), _u11460)) | ( _u11461 = _u11462) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_quotient__eqI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_quotient__eqI-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11465, _u11466, _u11467) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11465, tc_HOL_Obool)), _u11468), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11465), _u11466), _u11467))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11465, tc_HOL_Obool)), _u11469), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11465), _u11466), _u11467))) | ~hBOOL(hAPP(hAPP(c_member(_u11465), _u11470), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(_u11465), _u11471), _u11469)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11465, _u11465)), hAPP(hAPP(c_Product__Type_OPair(_u11465, _u11465), _u11470), _u11471)), _u11467)) | ( _u11468 = _u11469) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equiv__class__eq__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equiv__class__eq__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11472, _u11473, _u11474) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11472, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11472, _u11472), _u11475), _u11476)), _u11474)) | ( hAPP(c_Relation_OImage(_u11472, _u11472, _u11474), hAPP(hAPP(c_Set_Oinsert(_u11472), _u11475), c_Orderings_Obot__class_Obot(tc_fun(_u11472, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11472, _u11472, _u11474), hAPP(hAPP(c_Set_Oinsert(_u11472), _u11476), c_Orderings_Obot__class_Obot(tc_fun(_u11472, tc_HOL_Obool))))) )).
% 43.37/43.58 cnf(fact_equiv__class__eq__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11472, _u11473, _u11474) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11472, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11472, _u11472), _u11475), _u11476)), _u11474)) | hBOOL(hAPP(hAPP(c_member(_u11472), _u11475), _u11473)) )).
% 43.37/43.58 cnf(fact_equiv__class__eq__iff-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11472, _u11473, _u11474) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11472, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11472, _u11472), _u11475), _u11476)), _u11474)) | hBOOL(hAPP(hAPP(c_member(_u11472), _u11476), _u11473)) )).
% 43.37/43.58 cnf(fact_equiv__class__eq__iff-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u11472, _u11473, _u11474) | ( hAPP(c_Relation_OImage(_u11472, _u11472, _u11474), hAPP(hAPP(c_Set_Oinsert(_u11472), _u11475), c_Orderings_Obot__class_Obot(tc_fun(_u11472, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11472, _u11472, _u11474), hAPP(hAPP(c_Set_Oinsert(_u11472), _u11476), c_Orderings_Obot__class_Obot(tc_fun(_u11472, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11472), _u11475), _u11473)) | ~hBOOL(hAPP(hAPP(c_member(_u11472), _u11476), _u11473)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11472, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11472, _u11472), _u11475), _u11476)), _u11474)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__equiv__class__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__equiv__class__iff-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11477, _u11478, _u11479) | ~hBOOL(hAPP(hAPP(c_member(_u11477), _u11480), _u11478)) | ~hBOOL(hAPP(hAPP(c_member(_u11477), _u11481), _u11478)) | ( hAPP(c_Relation_OImage(_u11477, _u11477, _u11479), hAPP(hAPP(c_Set_Oinsert(_u11477), _u11480), c_Orderings_Obot__class_Obot(tc_fun(_u11477, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11477, _u11477, _u11479), hAPP(hAPP(c_Set_Oinsert(_u11477), _u11481), c_Orderings_Obot__class_Obot(tc_fun(_u11477, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11477, _u11477)), hAPP(hAPP(c_Product__Type_OPair(_u11477, _u11477), _u11480), _u11481)), _u11479)) )).
% 43.37/43.58 cnf(fact_eq__equiv__class__iff-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11477, _u11478, _u11479) | ~hBOOL(hAPP(hAPP(c_member(_u11477), _u11480), _u11478)) | ~hBOOL(hAPP(hAPP(c_member(_u11477), _u11481), _u11478)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11477, _u11477)), hAPP(hAPP(c_Product__Type_OPair(_u11477, _u11477), _u11480), _u11481)), _u11479)) | ( hAPP(c_Relation_OImage(_u11477, _u11477, _u11479), hAPP(hAPP(c_Set_Oinsert(_u11477), _u11480), c_Orderings_Obot__class_Obot(tc_fun(_u11477, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11477, _u11477, _u11479), hAPP(hAPP(c_Set_Oinsert(_u11477), _u11481), c_Orderings_Obot__class_Obot(tc_fun(_u11477, tc_HOL_Obool))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__equiv__class ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__equiv__class-1, axiom, ( ( hAPP(c_Relation_OImage(_u11482, _u11482, _u11483), hAPP(hAPP(c_Set_Oinsert(_u11482), _u11484), c_Orderings_Obot__class_Obot(tc_fun(_u11482, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11482, _u11482, _u11483), hAPP(hAPP(c_Set_Oinsert(_u11482), _u11485), c_Orderings_Obot__class_Obot(tc_fun(_u11482, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11482, _u11486, _u11483) | ~hBOOL(hAPP(hAPP(c_member(_u11482), _u11485), _u11486)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11482, _u11482)), hAPP(hAPP(c_Product__Type_OPair(_u11482, _u11482), _u11484), _u11485)), _u11483)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equiv__class__subset ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equiv__class__subset-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11487, _u11488, _u11489) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11487, _u11487)), hAPP(hAPP(c_Product__Type_OPair(_u11487, _u11487), _u11490), _u11491)), _u11489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11487, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11487, _u11487, _u11489), hAPP(hAPP(c_Set_Oinsert(_u11487), _u11490), c_Orderings_Obot__class_Obot(tc_fun(_u11487, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11487, _u11487, _u11489), hAPP(hAPP(c_Set_Oinsert(_u11487), _u11491), c_Orderings_Obot__class_Obot(tc_fun(_u11487, tc_HOL_Obool)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__equiv__class__iff2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__equiv__class__iff2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11492, _u11493, _u11494) | ~hBOOL(hAPP(hAPP(c_member(_u11492), _u11495), _u11493)) | ~hBOOL(hAPP(hAPP(c_member(_u11492), _u11496), _u11493)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11492), hAPP(hAPP(c_Set_Oinsert(_u11492), _u11495), c_Orderings_Obot__class_Obot(tc_fun(_u11492, tc_HOL_Obool)))), _u11494) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11492), hAPP(hAPP(c_Set_Oinsert(_u11492), _u11496), c_Orderings_Obot__class_Obot(tc_fun(_u11492, tc_HOL_Obool)))), _u11494)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11492, _u11492)), hAPP(hAPP(c_Product__Type_OPair(_u11492, _u11492), _u11495), _u11496)), _u11494)) )).
% 43.37/43.58 cnf(fact_eq__equiv__class__iff2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11492, _u11493, _u11494) | ~hBOOL(hAPP(hAPP(c_member(_u11492), _u11495), _u11493)) | ~hBOOL(hAPP(hAPP(c_member(_u11492), _u11496), _u11493)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11492, _u11492)), hAPP(hAPP(c_Product__Type_OPair(_u11492, _u11492), _u11495), _u11496)), _u11494)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11492), hAPP(hAPP(c_Set_Oinsert(_u11492), _u11495), c_Orderings_Obot__class_Obot(tc_fun(_u11492, tc_HOL_Obool)))), _u11494) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11492), hAPP(hAPP(c_Set_Oinsert(_u11492), _u11496), c_Orderings_Obot__class_Obot(tc_fun(_u11492, tc_HOL_Obool)))), _u11494)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_UN__equiv__class ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_UN__equiv__class-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11497, _u11498, _u11499) | ~c_Equiv__Relations_Ocongruent(_u11497, tc_fun(_u11500, tc_HOL_Obool), _u11499, _u11501) | ~hBOOL(hAPP(hAPP(c_member(_u11497), _u11502), _u11498)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11497, tc_fun(_u11500, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11497, _u11497, _u11499), hAPP(hAPP(c_Set_Oinsert(_u11497), _u11502), c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool))))), _u11501) = hAPP(_u11501, _u11502)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_UN__equiv__class2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_UN__equiv__class2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11503, _u11504, _u11505) | ~c_Equiv__Relations_Oequiv(_u11506, _u11507, _u11508) | ~c_Equiv__Relations_Ocongruent2(_u11503, _u11506, tc_fun(_u11509, tc_HOL_Obool), _u11505, _u11508, _u11510) | ~hBOOL(hAPP(hAPP(c_member(_u11503), _u11511), _u11504)) | ~hBOOL(hAPP(hAPP(c_member(_u11506), _u11512), _u11507)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11503, tc_fun(_u11509, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11503, _u11503, _u11505), hAPP(hAPP(c_Set_Oinsert(_u11503), _u11511), c_Orderings_Obot__class_Obot(tc_fun(_u11503, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u11506, tc_fun(_u11509, tc_HOL_Obool)), tc_fun(_u11509, tc_HOL_Obool), _u11503), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11506, tc_fun(_u11509, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11506, _u11506, _u11508), hAPP(hAPP(c_Set_Oinsert(_u11506), _u11512), c_Orderings_Obot__class_Obot(tc_fun(_u11506, tc_HOL_Obool)))))), _u11510)) = hAPP(hAPP(_u11510, _u11511), _u11512)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_in__finite__psubset ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_in__finite__psubset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11516, tc_HOL_Obool), tc_fun(_u11516, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11516, tc_HOL_Obool), tc_fun(_u11516, tc_HOL_Obool)), _u11518), _u11520)), c_Wellfounded_Ofinite__psubset(_u11516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11516, tc_HOL_Obool)), _u11518), _u11520)) )).
% 43.37/43.58 cnf(fact_in__finite__psubset-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11516, tc_HOL_Obool), tc_fun(_u11516, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11516, tc_HOL_Obool), tc_fun(_u11516, tc_HOL_Obool)), _u11518), _u11520)), c_Wellfounded_Ofinite__psubset(_u11516))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11516), _u11520)) )).
% 43.37/43.58 cnf(fact_in__finite__psubset-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11517, tc_HOL_Obool)), _u11519), _u11521)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11517), _u11521)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11517, tc_HOL_Obool), tc_fun(_u11517, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11517, tc_HOL_Obool), tc_fun(_u11517, tc_HOL_Obool)), _u11519), _u11521)), c_Wellfounded_Ofinite__psubset(_u11517))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_congruent2__implies__congruent ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_congruent2__implies__congruent-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11522, _u11523, _u11524) | ~c_Equiv__Relations_Ocongruent2(_u11522, _u11525, _u11526, _u11524, _u11527, _u11528) | ~hBOOL(hAPP(hAPP(c_member(_u11522), _u11529), _u11523)) | c_Equiv__Relations_Ocongruent(_u11525, _u11526, _u11527, hAPP(_u11528, _u11529)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_congruent2D ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_congruent2D-1, axiom, ( ~c_Equiv__Relations_Ocongruent2(_u11530, _u11531, _u11532, _u11533, _u11534, _u11535) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11530, _u11530)), hAPP(hAPP(c_Product__Type_OPair(_u11530, _u11530), _u11536), _u11537)), _u11533)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11531, _u11531)), hAPP(hAPP(c_Product__Type_OPair(_u11531, _u11531), _u11538), _u11539)), _u11534)) | ( hAPP(hAPP(_u11535, _u11536), _u11538) = hAPP(hAPP(_u11535, _u11537), _u11539)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_congruentD ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_congruentD-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u11540, _u11541, _u11542, _u11543) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11540, _u11540)), hAPP(hAPP(c_Product__Type_OPair(_u11540, _u11540), _u11544), _u11545)), _u11542)) | ( hAPP(_u11543, _u11544) = hAPP(_u11543, _u11545)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_congruent2__implies__congruent__UN ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_congruent2__implies__congruent__UN-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11546, _u11547, _u11548) | ~c_Equiv__Relations_Oequiv(_u11549, _u11550, _u11551) | ~c_Equiv__Relations_Ocongruent2(_u11546, _u11549, tc_fun(_u11552, tc_HOL_Obool), _u11548, _u11551, _u11553) | ~hBOOL(hAPP(hAPP(c_member(_u11549), _u11554), _u11550)) | c_Equiv__Relations_Ocongruent(_u11546, tc_fun(_u11552, tc_HOL_Obool), _u11548, hAPP(hAPP(c_COMBB(tc_fun(_u11549, tc_fun(_u11552, tc_HOL_Obool)), tc_fun(_u11552, tc_HOL_Obool), _u11546), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11549, tc_fun(_u11552, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11549, _u11549, _u11551), hAPP(hAPP(c_Set_Oinsert(_u11549), _u11554), c_Orderings_Obot__class_Obot(tc_fun(_u11549, tc_HOL_Obool)))))), _u11553)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_finite__psubset__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_finite__psubset__def-1, axiom, ( ( c_Wellfounded_Ofinite__psubset(_u11555) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u11555, tc_HOL_Obool), tc_fun(_u11555, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u11555, tc_HOL_Obool), tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u11555, tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u11555, tc_HOL_Obool)), c_COMBS(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u11555, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u11555, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u11555, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u11555))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_UN__equiv__class__inject ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_UN__equiv__class__inject-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11558, _u11559, _u11560) | ~c_Equiv__Relations_Ocongruent(_u11558, tc_fun(_u11561, tc_HOL_Obool), _u11560, _u11562) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11563), _u11562) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11564), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11563), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11564), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ( _u11563 = _u11564) | hBOOL(hAPP(hAPP(c_member(_u11558), skolem273(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558)), _u11559)) )).
% 43.37/43.58 cnf(fact_UN__equiv__class__inject-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11558, _u11559, _u11560) | ~c_Equiv__Relations_Ocongruent(_u11558, tc_fun(_u11561, tc_HOL_Obool), _u11560, _u11562) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11563), _u11562) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11564), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11563), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11564), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ( _u11563 = _u11564) | hBOOL(hAPP(hAPP(c_member(_u11558), skolem274(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558)), _u11559)) )).
% 43.37/43.58 cnf(fact_UN__equiv__class__inject-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11558, _u11559, _u11560) | ~c_Equiv__Relations_Ocongruent(_u11558, tc_fun(_u11561, tc_HOL_Obool), _u11560, _u11562) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11563), _u11562) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11564), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11563), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11564), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ( _u11563 = _u11564) | ( hAPP(_u11562, skolem273(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558)) = hAPP(_u11562, skolem274(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558))) )).
% 43.37/43.58 cnf(fact_UN__equiv__class__inject-4, axiom, ( ~c_Equiv__Relations_Oequiv(_u11558, _u11559, _u11560) | ~c_Equiv__Relations_Ocongruent(_u11558, tc_fun(_u11561, tc_HOL_Obool), _u11560, _u11562) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11563), _u11562) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11564), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11563), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11564), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ( _u11563 = _u11564) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11558, _u11558)), hAPP(hAPP(c_Product__Type_OPair(_u11558, _u11558), skolem273(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558)), skolem274(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558))), _u11560)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_UN__equiv__class__type2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_UN__equiv__class__type2-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11567, _u11568, _u11569) | ~c_Equiv__Relations_Oequiv(_u11570, _u11571, _u11572) | ~c_Equiv__Relations_Ocongruent2(_u11567, _u11570, tc_fun(_u11573, tc_HOL_Obool), _u11569, _u11572, _u11574) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11567, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11567), _u11568), _u11569))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11570, tc_HOL_Obool)), _u11576), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11570), _u11571), _u11572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11573, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11567, tc_fun(_u11573, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_COMBB(tc_fun(_u11570, tc_fun(_u11573, tc_HOL_Obool)), tc_fun(_u11573, tc_HOL_Obool), _u11567), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11570, tc_fun(_u11573, tc_HOL_Obool)), _u11576)), _u11574))), _u11577)) | hBOOL(hAPP(hAPP(c_member(_u11567), skolem275(_u11577, _u11576, _u11575, _u11574, _u11573, _u11572, _u11571, _u11570, _u11569, _u11568, _u11567)), _u11568)) )).
% 43.37/43.58 cnf(fact_UN__equiv__class__type2-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11567, _u11568, _u11569) | ~c_Equiv__Relations_Oequiv(_u11570, _u11571, _u11572) | ~c_Equiv__Relations_Ocongruent2(_u11567, _u11570, tc_fun(_u11573, tc_HOL_Obool), _u11569, _u11572, _u11574) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11567, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11567), _u11568), _u11569))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11570, tc_HOL_Obool)), _u11576), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11570), _u11571), _u11572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11573, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11567, tc_fun(_u11573, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_COMBB(tc_fun(_u11570, tc_fun(_u11573, tc_HOL_Obool)), tc_fun(_u11573, tc_HOL_Obool), _u11567), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11570, tc_fun(_u11573, tc_HOL_Obool)), _u11576)), _u11574))), _u11577)) | hBOOL(hAPP(hAPP(c_member(_u11570), skolem276(_u11577, _u11576, _u11575, _u11574, _u11573, _u11572, _u11571, _u11570, _u11569, _u11568, _u11567)), _u11571)) )).
% 43.37/43.58 cnf(fact_UN__equiv__class__type2-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u11567, _u11568, _u11569) | ~c_Equiv__Relations_Oequiv(_u11570, _u11571, _u11572) | ~c_Equiv__Relations_Ocongruent2(_u11567, _u11570, tc_fun(_u11573, tc_HOL_Obool), _u11569, _u11572, _u11574) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11567, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11567), _u11568), _u11569))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11570, tc_HOL_Obool)), _u11576), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11570), _u11571), _u11572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11573, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11567, tc_fun(_u11573, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_COMBB(tc_fun(_u11570, tc_fun(_u11573, tc_HOL_Obool)), tc_fun(_u11573, tc_HOL_Obool), _u11567), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11570, tc_fun(_u11573, tc_HOL_Obool)), _u11576)), _u11574))), _u11577)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11573, tc_HOL_Obool)), hAPP(hAPP(_u11574, skolem275(_u11577, _u11576, _u11575, _u11574, _u11573, _u11572, _u11571, _u11570, _u11569, _u11568, _u11567)), skolem276(_u11577, _u11576, _u11575, _u11574, _u11573, _u11572, _u11571, _u11570, _u11569, _u11568, _u11567))), _u11577)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_UN__equiv__class__type ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_UN__equiv__class__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11579, _u11580, _u11581) | ~c_Equiv__Relations_Ocongruent(_u11579, tc_fun(_u11582, tc_HOL_Obool), _u11581, _u11583) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11579, tc_HOL_Obool)), _u11584), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11579), _u11580), _u11581))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11582, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11579, tc_fun(_u11582, tc_HOL_Obool)), _u11584), _u11583)), _u11585)) | hBOOL(hAPP(hAPP(c_member(_u11579), skolem277(_u11585, _u11584, _u11583, _u11582, _u11581, _u11580, _u11579)), _u11580)) )).
% 43.37/43.58 cnf(fact_UN__equiv__class__type-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u11579, _u11580, _u11581) | ~c_Equiv__Relations_Ocongruent(_u11579, tc_fun(_u11582, tc_HOL_Obool), _u11581, _u11583) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11579, tc_HOL_Obool)), _u11584), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11579), _u11580), _u11581))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11582, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11579, tc_fun(_u11582, tc_HOL_Obool)), _u11584), _u11583)), _u11585)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11582, tc_HOL_Obool)), hAPP(_u11583, skolem277(_u11585, _u11584, _u11583, _u11582, _u11581, _u11580, _u11579))), _u11585)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mlex__leq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mlex__leq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11586, _u11587)), hAPP(_u11586, _u11588))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11589, _u11589)), hAPP(hAPP(c_Product__Type_OPair(_u11589, _u11589), _u11587), _u11588)), _u11590)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11589, _u11589)), hAPP(hAPP(c_Product__Type_OPair(_u11589, _u11589), _u11587), _u11588)), c_Wellfounded_Omlex__prod(_u11589, _u11586, _u11590))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral_Osize_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_code__numeral_Osize_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u11591)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u11591)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mlex__less ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mlex__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11592, _u11593)), hAPP(_u11592, _u11594))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11595, _u11595)), hAPP(hAPP(c_Product__Type_OPair(_u11595, _u11595), _u11593), _u11594)), c_Wellfounded_Omlex__prod(_u11595, _u11592, _u11596))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral_Oinject ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_code__numeral_Oinject-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u11599) != c_Code__Numeral_OSuc__code__numeral(_u11601)) | ( _u11599 = _u11601) )).
% 43.37/43.58 cnf(fact_code__numeral_Oinject-2, axiom, ( ( _u11600 != _u11602) | ( c_Code__Numeral_OSuc__code__numeral(_u11600) = c_Code__Numeral_OSuc__code__numeral(_u11602)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral_Osimps_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_code__numeral_Osimps_I3_J-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u11603) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u11604)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Suc__code__numeral__minus__one ( axiom ) converted to clauses:
% 43.37/43.58 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(_u11605)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u11605) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral_Osize_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 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(_u11606)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u11606)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat_Osize_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11607)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u11607)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_prod_Orecs ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_prod_Orecs-1, axiom, ( ( c_Product__Type_Oprod_Oprod__rec(_u11608, _u11609, _u11610, _u11611, hAPP(hAPP(c_Product__Type_OPair(_u11608, _u11609), _u11612), _u11613)) = hAPP(hAPP(_u11611, _u11612), _u11613)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat__size ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_nat__size-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u11614) = _u11614) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat_Osize_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral_Osize_I3_J ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_lfp__induct2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_lfp__induct2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11617, _u11618)), hAPP(hAPP(c_Product__Type_OPair(_u11617, _u11618), _u11619), _u11620)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621) | hBOOL(hAPP(hAPP(_u11622, _u11619), _u11620)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11617, _u11618)), hAPP(hAPP(c_Product__Type_OPair(_u11617, _u11618), skolem278(_u11622, _u11621, _u11620, _u11619, _u11618, _u11617)), skolem279(_u11622, _u11621, _u11620, _u11619, _u11618, _u11617))), hAPP(_u11621, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621)), hAPP(c_Set_OCollect(tc_prod(_u11617, _u11618)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11617, _u11618, tc_HOL_Obool), _u11622)))))) )).
% 43.37/43.58 cnf(fact_lfp__induct2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11617, _u11618)), hAPP(hAPP(c_Product__Type_OPair(_u11617, _u11618), _u11619), _u11620)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621) | hBOOL(hAPP(hAPP(_u11622, _u11619), _u11620)) | ~hBOOL(hAPP(hAPP(_u11622, skolem278(_u11622, _u11621, _u11620, _u11619, _u11618, _u11617)), skolem279(_u11622, _u11621, _u11620, _u11619, _u11618, _u11617))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_in__lex__prod ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_in__lex__prod-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11631, _u11633), tc_prod(_u11631, _u11633))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11631, _u11633), tc_prod(_u11631, _u11633)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11633), _u11635), _u11637)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11633), _u11639), _u11641))), c_Wellfounded_Olex__prod(_u11631, _u11633, _u11643, _u11645))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11631, _u11631)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11631), _u11635), _u11639)), _u11643)) | ( _u11635 = _u11639) )).
% 43.37/43.58 cnf(fact_in__lex__prod-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11631, _u11633), tc_prod(_u11631, _u11633))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11631, _u11633), tc_prod(_u11631, _u11633)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11633), _u11635), _u11637)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11633), _u11639), _u11641))), c_Wellfounded_Olex__prod(_u11631, _u11633, _u11643, _u11645))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11631, _u11631)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11631), _u11635), _u11639)), _u11643)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11633, _u11633)), hAPP(hAPP(c_Product__Type_OPair(_u11633, _u11633), _u11637), _u11641)), _u11645)) )).
% 43.37/43.58 cnf(fact_in__lex__prod-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11632, _u11634), tc_prod(_u11632, _u11634))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11632, _u11634), tc_prod(_u11632, _u11634)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11636), _u11638)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11640), _u11642))), c_Wellfounded_Olex__prod(_u11632, _u11634, _u11644, _u11646))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11632, _u11632)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11632), _u11636), _u11640)), _u11644)) )).
% 43.37/43.58 cnf(fact_in__lex__prod-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11632, _u11634), tc_prod(_u11632, _u11634))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11632, _u11634), tc_prod(_u11632, _u11634)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11636), _u11638)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11640), _u11642))), c_Wellfounded_Olex__prod(_u11632, _u11634, _u11644, _u11646))) | ( _u11636 != _u11640) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11634, _u11634)), hAPP(hAPP(c_Product__Type_OPair(_u11634, _u11634), _u11638), _u11642)), _u11646)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equivp__equiv ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equivp__equiv-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u11649, c_Orderings_Otop__class_Otop(tc_fun(_u11649, tc_HOL_Obool)), _u11651) | c_Equiv__Relations_Oequivp(_u11649, hAPP(hAPP(c_COMBC(_u11649, tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_fun(_u11649, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11649, tc_fun(tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_fun(_u11649, tc_HOL_Obool)), _u11649), c_COMBC(_u11649, tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11649, tc_prod(_u11649, _u11649)), tc_fun(_u11649, tc_fun(tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_HOL_Obool)), _u11649), hAPP(c_COMBB(tc_prod(_u11649, _u11649), tc_fun(tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_HOL_Obool), _u11649), c_member(tc_prod(_u11649, _u11649)))), c_Product__Type_OPair(_u11649, _u11649)))), _u11651)) )).
% 43.37/43.58 cnf(fact_equivp__equiv-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u11650, hAPP(hAPP(c_COMBC(_u11650, tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_fun(_u11650, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11650, tc_fun(tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_fun(_u11650, tc_HOL_Obool)), _u11650), c_COMBC(_u11650, tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11650, tc_prod(_u11650, _u11650)), tc_fun(_u11650, tc_fun(tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_HOL_Obool)), _u11650), hAPP(c_COMBB(tc_prod(_u11650, _u11650), tc_fun(tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_HOL_Obool), _u11650), c_member(tc_prod(_u11650, _u11650)))), c_Product__Type_OPair(_u11650, _u11650)))), _u11652)) | c_Equiv__Relations_Oequiv(_u11650, c_Orderings_Otop__class_Otop(tc_fun(_u11650, tc_HOL_Obool)), _u11652) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equivp__transp ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11654, _u11655), _u11656)) | ~hBOOL(hAPP(hAPP(_u11654, _u11656), _u11657)) | hBOOL(hAPP(hAPP(_u11654, _u11655), _u11657)) | ~c_Equiv__Relations_Oequivp(_u11653, _u11654) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equivp__symp ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u11659, _u11660), _u11661)) | hBOOL(hAPP(hAPP(_u11659, _u11661), _u11660)) | ~c_Equiv__Relations_Oequivp(_u11658, _u11659) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equivp__reflp ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equivp__reflp-1, axiom, ( hBOOL(hAPP(hAPP(_u11663, _u11664), _u11664)) | ~c_Equiv__Relations_Oequivp(_u11662, _u11663) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equivp__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_equivp__def-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u11679, _u11681) | ~hBOOL(hAPP(hAPP(_u11681, _u11673), _u11671)) | ( hAPP(_u11681, _u11673) = hAPP(_u11681, _u11671)) )).
% 43.37/43.58 cnf(fact_equivp__def-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u11679, _u11681) | ( hAPP(_u11681, _u11674) != hAPP(_u11681, _u11672)) | hBOOL(hAPP(hAPP(_u11681, _u11674), _u11672)) )).
% 43.37/43.58 cnf(fact_equivp__def-3, axiom, ( c_Equiv__Relations_Oequivp(_u11680, _u11682) | hBOOL(hAPP(hAPP(_u11682, skolem280(_u11682)), skolem281(_u11682))) | ( hAPP(_u11682, skolem282(_u11682)) = hAPP(_u11682, skolem283(_u11682))) )).
% 43.37/43.58 cnf(fact_equivp__def-4, axiom, ( c_Equiv__Relations_Oequivp(_u11680, _u11682) | hBOOL(hAPP(hAPP(_u11682, skolem280(_u11682)), skolem281(_u11682))) | ~hBOOL(hAPP(hAPP(_u11682, skolem282(_u11682)), skolem283(_u11682))) )).
% 43.37/43.58 cnf(fact_equivp__def-5, axiom, ( c_Equiv__Relations_Oequivp(_u11680, _u11682) | ( hAPP(_u11682, skolem280(_u11682)) != hAPP(_u11682, skolem281(_u11682))) | ( hAPP(_u11682, skolem282(_u11682)) = hAPP(_u11682, skolem283(_u11682))) )).
% 43.37/43.58 cnf(fact_equivp__def-6, axiom, ( c_Equiv__Relations_Oequivp(_u11680, _u11682) | ( hAPP(_u11682, skolem280(_u11682)) != hAPP(_u11682, skolem281(_u11682))) | ~hBOOL(hAPP(hAPP(_u11682, skolem282(_u11682)), skolem283(_u11682))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_identity__equivp ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_identity__equivp-1, axiom, ( c_Equiv__Relations_Oequivp(_u11683, c_fequal) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_same__fstI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_same__fstI-1, axiom, ( ~hBOOL(hAPP(_u11684, _u11685)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11686, _u11686)), hAPP(hAPP(c_Product__Type_OPair(_u11686, _u11686), _u11687), _u11688)), hAPP(_u11689, _u11685))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11690, _u11686), tc_prod(_u11690, _u11686))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11690, _u11686), tc_prod(_u11690, _u11686)), hAPP(hAPP(c_Product__Type_OPair(_u11690, _u11686), _u11685), _u11687)), hAPP(hAPP(c_Product__Type_OPair(_u11690, _u11686), _u11685), _u11688))), c_Recdef_Osame__fst(_u11690, _u11686, _u11684, _u11689))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_apsnd__apfst ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_apsnd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11691, _u11692, _u11693, _u11694), hAPP(c_Product__Type_Oapfst(_u11695, _u11693, _u11691, _u11696), _u11697)) = hAPP(hAPP(c_Product__Type_OPair(_u11693, _u11692), hAPP(_u11696, hAPP(c_Product__Type_Ofst(_u11695, _u11691), _u11697))), hAPP(_u11694, hAPP(c_Product__Type_Osnd(_u11695, _u11691), _u11697)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_apfst__apsnd ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_apfst__apsnd-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u11698, _u11699, _u11700, _u11701), hAPP(c_Product__Type_Oapsnd(_u11702, _u11700, _u11698, _u11703), _u11704)) = hAPP(hAPP(c_Product__Type_OPair(_u11699, _u11700), hAPP(_u11701, hAPP(c_Product__Type_Ofst(_u11698, _u11702), _u11704))), hAPP(_u11703, hAPP(c_Product__Type_Osnd(_u11698, _u11702), _u11704)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_apfst__conv ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_apfst__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u11705, _u11706, _u11707, _u11708), hAPP(hAPP(c_Product__Type_OPair(_u11705, _u11707), _u11709), _u11710)) = hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11707), hAPP(_u11708, _u11709)), _u11710)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_fst__apfst ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_fst__apfst-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u11711, _u11712), hAPP(c_Product__Type_Oapfst(_u11713, _u11711, _u11712, _u11714), _u11715)) = hAPP(_u11714, hAPP(c_Product__Type_Ofst(_u11713, _u11712), _u11715))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_apfst__eq__conv ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_apfst__eq__conv-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u11722, _u11724, _u11726, _u11728), _u11730) != hAPP(c_Product__Type_Oapfst(_u11722, _u11724, _u11726, _u11732), _u11730)) | ( hAPP(_u11728, hAPP(c_Product__Type_Ofst(_u11722, _u11726), _u11730)) = hAPP(_u11732, hAPP(c_Product__Type_Ofst(_u11722, _u11726), _u11730))) )).
% 43.37/43.58 cnf(fact_apfst__eq__conv-2, axiom, ( ( hAPP(_u11729, hAPP(c_Product__Type_Ofst(_u11723, _u11727), _u11731)) != hAPP(_u11733, hAPP(c_Product__Type_Ofst(_u11723, _u11727), _u11731))) | ( hAPP(c_Product__Type_Oapfst(_u11723, _u11725, _u11727, _u11729), _u11731) = hAPP(c_Product__Type_Oapfst(_u11723, _u11725, _u11727, _u11733), _u11731)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_snd__apfst ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_snd__apfst-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u11734, _u11735), hAPP(c_Product__Type_Oapfst(_u11736, _u11734, _u11735, _u11737), _u11738)) = hAPP(c_Product__Type_Osnd(_u11736, _u11735), _u11738)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_apsnd__apfst__commute ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_apsnd__apfst__commute-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u11739, _u11740, _u11741, _u11742), hAPP(c_Product__Type_Oapfst(_u11743, _u11741, _u11739, _u11744), _u11745)) = hAPP(c_Product__Type_Oapfst(_u11743, _u11741, _u11740, _u11744), hAPP(c_Product__Type_Oapsnd(_u11739, _u11740, _u11743, _u11742), _u11745))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pair__lessI2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pair__lessI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11746), _u11747)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11748), _u11749)) | 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), _u11746), _u11748)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11747), _u11749))), c_FunDef_Opair__less)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_ImageE ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_ImageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11751), _u11752), hAPP(c_Relation_OImage(_u11753, _u11751, _u11754), _u11755))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11753, _u11751)), hAPP(hAPP(c_Product__Type_OPair(_u11753, _u11751), skolem284(_u11755, _u11754, _u11753, _u11752, _u11751)), _u11752)), _u11754)) )).
% 43.37/43.58 cnf(fact_ImageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11751), _u11752), hAPP(c_Relation_OImage(_u11753, _u11751, _u11754), _u11755))) | hBOOL(hAPP(hAPP(c_member(_u11753), skolem284(_u11755, _u11754, _u11753, _u11752, _u11751)), _u11755)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mlex__prod__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mlex__prod__def-1, axiom, ( ( c_Wellfounded_Omlex__prod(_u11756, _u11757, _u11758) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u11756), _u11756), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u11756, c_Wellfounded_Oless__than, _u11758)), hAPP(hAPP(c_COMBS(_u11756, _u11756, tc_prod(tc_Nat_Onat, _u11756)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11756, tc_prod(tc_Nat_Onat, _u11756)), _u11756), c_Product__Type_OPair(tc_Nat_Onat, _u11756)), _u11757)), c_COMBI(_u11756)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pair__less__def ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_measure__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_measure__def-1, axiom, ( ( c_Wellfounded_Omeasure(_u11759) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u11759), c_Wellfounded_Oless__than)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less__than__iff ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11762), _u11764)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11762), _u11764)) )).
% 43.37/43.58 cnf(fact_less__than__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11763), _u11765)) | 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), _u11763), _u11765)), c_Wellfounded_Oless__than)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pair__lessI1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pair__lessI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11766), _u11767)) | 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), _u11766), _u11768)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11767), _u11769))), c_FunDef_Opair__less)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pair__leqI2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pair__leqI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11770), _u11771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11772), _u11773)) | 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), _u11770), _u11772)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11771), _u11773))), c_FunDef_Opair__leq)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_smin__insertI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_smin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11774), _u11775)) | ~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)), _u11774), _u11776)), 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)), _u11775), _u11777)), 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)), _u11775), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11776), _u11777))), c_FunDef_Omin__strict)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_smax__insertI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_smax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11778), _u11779)) | ~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)), _u11780), _u11778)), 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)), _u11781), _u11779)), 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)), _u11780), _u11781)), _u11779)), c_FunDef_Omax__strict)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_smin__emptyI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_smin__emptyI-1, axiom, ( ( _u11782 = 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)), _u11782), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_smax__emptyI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_smax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11783)) | ( _u11783 = 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))), _u11783)), c_FunDef_Omax__strict)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pair__leqI1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pair__leqI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11784), _u11785)) | 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), _u11784), _u11786)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11785), _u11787))), c_FunDef_Opair__leq)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wmax__insertI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wmax__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11788), _u11789)) | ~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)), _u11790), _u11788)), 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)), _u11791), _u11789)), 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)), _u11790), _u11791)), _u11789)), c_FunDef_Omax__weak)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wmin__insertI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wmin__insertI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11792), _u11793)) | ~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)), _u11792), _u11794)), 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)), _u11793), _u11795)), 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)), _u11793), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11794), _u11795))), c_FunDef_Omin__weak)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Field__insert ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Field__insert-1, axiom, ( ( hAPP(c_Relation_OField(_u11796), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u11796, _u11796)), hAPP(hAPP(c_Product__Type_OPair(_u11796, _u11796), _u11797), _u11798)), _u11799)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11796, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11796), _u11797), hAPP(hAPP(c_Set_Oinsert(_u11796), _u11798), c_Orderings_Obot__class_Obot(tc_fun(_u11796, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u11796), _u11799))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Field__empty ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Field__empty-1, axiom, ( ( hAPP(c_Relation_OField(_u11800), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11800, _u11800), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11800, tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mono__Field ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_mono__Field-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11801, _u11801), tc_HOL_Obool)), _u11802), _u11803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11801, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11801), _u11802)), hAPP(c_Relation_OField(_u11801), _u11803))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Field__Un ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Field__Un-1, axiom, ( ( hAPP(c_Relation_OField(_u11804), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11804, _u11804), tc_HOL_Obool)), _u11805), _u11806)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11804, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11804), _u11805)), hAPP(c_Relation_OField(_u11804), _u11806))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_finite__Field ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_finite__Field-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11807, _u11807)), _u11808)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11807), hAPP(c_Relation_OField(_u11807), _u11808))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wmax__emptyI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wmax__emptyI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11809)) | 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))), _u11809)), c_FunDef_Omax__weak)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wmin__emptyI ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11810), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_min__weak__def ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_max__weak__def ( axiom ) converted to clauses:
% 43.37/43.58 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))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Id__on__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Id__on__def-1, axiom, ( ( c_Relation_OId__on(_u11811, _u11812) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11811, tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool)), _u11812), hAPP(hAPP(c_COMBC(_u11811, tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool), tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u11811, _u11811), tc_fun(tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool), tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool)), _u11811), c_Set_Oinsert(tc_prod(_u11811, _u11811))), hAPP(hAPP(c_COMBS(_u11811, _u11811, tc_prod(_u11811, _u11811)), c_Product__Type_OPair(_u11811, _u11811)), c_COMBI(_u11811)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Id__on__def_H ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Id__on__def_H-1, axiom, ( ( c_Relation_OId__on(_u11813, _u11814) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11813, _u11813, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u11813, tc_HOL_Obool, tc_fun(_u11813, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11813, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u11813, tc_HOL_Obool)), _u11813), c_COMBC(_u11813, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11813, tc_HOL_Obool), tc_fun(_u11813, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11813), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11813), c_fconj)), c_fequal))), _u11814))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Id__on__empty ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Id__on__empty-1, axiom, ( ( c_Relation_OId__on(_u11815, c_Orderings_Obot__class_Obot(tc_fun(_u11815, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11815, _u11815), tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Image__Id__on ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Image__Id__on-1, axiom, ( ( hAPP(c_Relation_OImage(_u11816, _u11816, c_Relation_OId__on(_u11816, _u11817)), _u11818) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11816, tc_HOL_Obool)), _u11817), _u11818)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Id__on__iff ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Id__on__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11823, _u11823)), hAPP(hAPP(c_Product__Type_OPair(_u11823, _u11823), _u11825), _u11827)), c_Relation_OId__on(_u11823, _u11829))) | ( _u11825 = _u11827) )).
% 43.37/43.58 cnf(fact_Id__on__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11823, _u11823)), hAPP(hAPP(c_Product__Type_OPair(_u11823, _u11823), _u11825), _u11827)), c_Relation_OId__on(_u11823, _u11829))) | hBOOL(hAPP(hAPP(c_member(_u11823), _u11825), _u11829)) )).
% 43.37/43.58 cnf(fact_Id__on__iff-3, axiom, ( ( _u11826 != _u11828) | ~hBOOL(hAPP(hAPP(c_member(_u11824), _u11826), _u11830)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11824, _u11824)), hAPP(hAPP(c_Product__Type_OPair(_u11824, _u11824), _u11826), _u11828)), c_Relation_OId__on(_u11824, _u11830))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Id__on__eqI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Id__on__eqI-1, axiom, ( ( _u11831 != _u11832) | ~hBOOL(hAPP(hAPP(c_member(_u11833), _u11831), _u11834)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11833, _u11833)), hAPP(hAPP(c_Product__Type_OPair(_u11833, _u11833), _u11831), _u11832)), c_Relation_OId__on(_u11833, _u11834))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_max__strict__def ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_max__ext__additive ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_max__ext__additive-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool)), _u11836), _u11837)), c_Wellfounded_Omax__ext(_u11835, _u11838))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool)), _u11839), _u11840)), c_Wellfounded_Omax__ext(_u11835, _u11838))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11835, tc_HOL_Obool)), _u11836), _u11839)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11835, tc_HOL_Obool)), _u11837), _u11840))), c_Wellfounded_Omax__ext(_u11835, _u11838))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_min__strict__def ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_max__extp__max__ext__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_max__extp__max__ext__eq-1, axiom, ( ~c_Wellfounded_Omax__extp(_u11845, hAPP(hAPP(c_COMBC(_u11845, tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_fun(_u11845, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11845, tc_fun(tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_fun(_u11845, tc_HOL_Obool)), _u11845), c_COMBC(_u11845, tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11845, tc_prod(_u11845, _u11845)), tc_fun(_u11845, tc_fun(tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_HOL_Obool)), _u11845), hAPP(c_COMBB(tc_prod(_u11845, _u11845), tc_fun(tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_HOL_Obool), _u11845), c_member(tc_prod(_u11845, _u11845)))), c_Product__Type_OPair(_u11845, _u11845)))), _u11847), _u11849, _u11851) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11845, tc_HOL_Obool), tc_fun(_u11845, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11845, tc_HOL_Obool), tc_fun(_u11845, tc_HOL_Obool)), _u11849), _u11851)), c_Wellfounded_Omax__ext(_u11845, _u11847))) )).
% 43.37/43.58 cnf(fact_max__extp__max__ext__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11846, tc_HOL_Obool), tc_fun(_u11846, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11846, tc_HOL_Obool), tc_fun(_u11846, tc_HOL_Obool)), _u11850), _u11852)), c_Wellfounded_Omax__ext(_u11846, _u11848))) | c_Wellfounded_Omax__extp(_u11846, hAPP(hAPP(c_COMBC(_u11846, tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_fun(_u11846, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11846, tc_fun(tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_fun(_u11846, tc_HOL_Obool)), _u11846), c_COMBC(_u11846, tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11846, tc_prod(_u11846, _u11846)), tc_fun(_u11846, tc_fun(tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_HOL_Obool)), _u11846), hAPP(c_COMBB(tc_prod(_u11846, _u11846), tc_fun(tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_HOL_Obool), _u11846), c_member(tc_prod(_u11846, _u11846)))), c_Product__Type_OPair(_u11846, _u11846)))), _u11848), _u11850, _u11852) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_max__rpair__set ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_min__rpair__set ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rp__inv__image__rp ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rp__inv__image__rp-1, axiom, ( ~c_FunDef_Oreduction__pair(_u11853, _u11854) | c_FunDef_Oreduction__pair(_u11855, hAPP(hAPP(c_FunDef_Orp__inv__image(_u11853, _u11855), _u11854), _u11856)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equiv__intrel__iff ( axiom ) converted to clauses:
% 43.37/43.58 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)), _u11859), 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)), _u11861), 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)), _u11859), _u11861)), c_Int_Ointrel)) )).
% 43.37/43.58 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)), _u11860), _u11862)), 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)), _u11860), 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)), _u11862), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_intrel__iff ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11867), _u11869)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11871), _u11873))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11867), _u11873) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11871), _u11869)) )).
% 43.37/43.58 cnf(fact_intrel__iff-2, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11868), _u11874) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11872), _u11870)) | 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), _u11868), _u11870)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11872), _u11874))), c_Int_Ointrel)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Id__onE ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Id__onE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11876, _u11876)), _u11877), c_Relation_OId__on(_u11876, _u11878))) | hBOOL(hAPP(hAPP(c_member(_u11876), skolem285(_u11878, _u11877, _u11876)), _u11878)) )).
% 43.37/43.58 cnf(fact_Id__onE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11876, _u11876)), _u11877), c_Relation_OId__on(_u11876, _u11878))) | ( _u11877 = hAPP(hAPP(c_Product__Type_OPair(_u11876, _u11876), skolem285(_u11878, _u11877, _u11876)), skolem285(_u11878, _u11877, _u11876))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_equiv__intrel ( axiom ) converted to clauses:
% 43.37/43.58 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) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_of__int ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_of__int-1, axiom, ( ~class_Rings_Oring__1(_u11879) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11879), 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), _u11880), _u11881)), 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(_u11879), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11879), _u11880)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11879), _u11881))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_One__int__def ( axiom ) converted to clauses:
% 43.37/43.58 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)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_mult ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11882), _u11883)), 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), _u11884), _u11885)), 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), _u11882), _u11884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11883), _u11885))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11882), _u11885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11883), _u11884)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Rep__Integ__inverse ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_Rep__Integ__inverse-1, axiom, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11886)) = _u11886) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_minus ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11887), _u11888)), 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), _u11888), _u11887)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Zero__int__def ( axiom ) converted to clauses:
% 43.37/43.58 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)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_int__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_int__def-1, axiom, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11889) = 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), _u11889), 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)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_add ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11890), _u11891)), 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), _u11892), _u11893)), 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), _u11890), _u11892)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11891), _u11893))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_nat ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11894), _u11895)), 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), _u11894), _u11895)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_minus__int__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_minus__int__def-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11896) = 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, _u11896)), 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)))))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_less ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11901), _u11903)), 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), _u11905), _u11907)), 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), _u11901), _u11907)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11905), _u11903))) )).
% 43.37/43.58 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), _u11902), _u11908)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11906), _u11904))) | 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), _u11902), _u11904)), 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), _u11906), _u11908)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_le ( axiom ) converted to clauses:
% 43.37/43.58 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), _u11913), _u11915)), 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), _u11917), _u11919)), 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), _u11913), _u11919)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11917), _u11915))) )).
% 43.37/43.58 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), _u11914), _u11920)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11918), _u11916))) | 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), _u11914), _u11916)), 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), _u11918), _u11920)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_eq__Abs__Integ ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_eq__Abs__Integ-1, axiom, ( ( _u11923 = 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), skolem286(_u11923)), skolem287(_u11923))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Integ__def ( axiom ) converted to clauses:
% 43.37/43.58 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)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral_Osimps_I5_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_code__numeral_Osimps_I5_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u11924, _u11925, _u11926, c_Code__Numeral_OSuc__code__numeral(_u11927)) = hAPP(_u11926, _u11927)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_Rep__Integ ( axiom ) converted to clauses:
% 43.37/43.58 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, _u11928)), c_Int_OInteg)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_code__numeral_Osimps_I4_J ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_code__numeral_Osimps_I4_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u11929, _u11930, _u11931, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u11930) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_type__definition__Integ ( axiom ) converted to clauses:
% 43.37/43.58 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) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_accp__acc__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_accp__acc__eq-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11935, hAPP(hAPP(c_COMBC(_u11935, tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_fun(_u11935, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11935, tc_fun(tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_fun(_u11935, tc_HOL_Obool)), _u11935), c_COMBC(_u11935, tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11935, tc_prod(_u11935, _u11935)), tc_fun(_u11935, tc_fun(tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_HOL_Obool)), _u11935), hAPP(c_COMBB(tc_prod(_u11935, _u11935), tc_fun(tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_HOL_Obool), _u11935), c_member(tc_prod(_u11935, _u11935)))), c_Product__Type_OPair(_u11935, _u11935)))), _u11937)), _u11939)) | hBOOL(hAPP(hAPP(c_member(_u11935), _u11939), c_Wellfounded_Oacc(_u11935, _u11937))) )).
% 43.37/43.58 cnf(fact_accp__acc__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u11936), _u11940), c_Wellfounded_Oacc(_u11936, _u11938))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11936, hAPP(hAPP(c_COMBC(_u11936, tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_fun(_u11936, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11936, tc_fun(tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_fun(_u11936, tc_HOL_Obool)), _u11936), c_COMBC(_u11936, tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11936, tc_prod(_u11936, _u11936)), tc_fun(_u11936, tc_fun(tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_HOL_Obool)), _u11936), hAPP(c_COMBB(tc_prod(_u11936, _u11936), tc_fun(tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_HOL_Obool), _u11936), c_member(tc_prod(_u11936, _u11936)))), c_Product__Type_OPair(_u11936, _u11936)))), _u11938)), _u11940)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__comp__def ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__comp__def-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11941, _u11942, _u11943), _u11944), _u11945) = hAPP(c_Set_OCollect(tc_prod(_u11941, _u11943)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11941, _u11943, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool)), tc_fun(_u11943, tc_HOL_Obool), _u11941), hAPP(c_COMBB(tc_fun(_u11942, tc_HOL_Obool), tc_HOL_Obool, _u11943), c_HOL_OEx(_u11942))), hAPP(hAPP(c_COMBC(_u11941, tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool)), tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11942, tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), tc_fun(tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool)), tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool))), _u11941), c_COMBB(tc_fun(_u11942, tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool), _u11943)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11942, tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), _u11941), c_COMBS(_u11942, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_HOL_Obool), tc_fun(_u11942, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11941), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11942), c_fconj)), hAPP(hAPP(c_COMBC(_u11941, tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_fun(tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), _u11941), c_COMBC(_u11942, tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_prod(_u11941, _u11942)), tc_fun(_u11942, tc_fun(tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_HOL_Obool)), _u11941), hAPP(c_COMBB(tc_prod(_u11941, _u11942), tc_fun(tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_HOL_Obool), _u11942), c_member(tc_prod(_u11941, _u11942)))), c_Product__Type_OPair(_u11941, _u11942)))), _u11944))))), hAPP(hAPP(c_COMBC(_u11943, tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_fun(tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), _u11943), c_COMBC(_u11942, tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_prod(_u11942, _u11943)), tc_fun(_u11942, tc_fun(tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_HOL_Obool)), _u11943), hAPP(c_COMBB(tc_prod(_u11942, _u11943), tc_fun(tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_HOL_Obool), _u11942), c_member(tc_prod(_u11942, _u11943)))), hAPP(c_COMBC(_u11942, _u11943, tc_prod(_u11942, _u11943)), c_Product__Type_OPair(_u11942, _u11943))))), _u11945)))))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__compI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__compI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11946, _u11947)), hAPP(hAPP(c_Product__Type_OPair(_u11946, _u11947), _u11948), _u11949)), _u11950)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11947, _u11951)), hAPP(hAPP(c_Product__Type_OPair(_u11947, _u11951), _u11949), _u11952)), _u11953)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11946, _u11951)), hAPP(hAPP(c_Product__Type_OPair(_u11946, _u11951), _u11948), _u11952)), hAPP(hAPP(c_Relation_Orel__comp(_u11946, _u11947, _u11951), _u11950), _u11953))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__comp__UNION__distrib2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__comp__UNION__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11954, _u11955, _u11956), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11957, tc_fun(tc_prod(_u11954, _u11955), tc_HOL_Obool)), _u11958), _u11959)), _u11960) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11957, tc_fun(tc_prod(_u11954, _u11956), tc_HOL_Obool)), _u11958), hAPP(hAPP(c_COMBC(_u11957, tc_fun(tc_prod(_u11955, _u11956), tc_HOL_Obool), tc_fun(tc_prod(_u11954, _u11956), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11954, _u11955), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11955, _u11956), tc_HOL_Obool), tc_fun(tc_prod(_u11954, _u11956), tc_HOL_Obool)), _u11957), c_Relation_Orel__comp(_u11954, _u11955, _u11956)), _u11959)), _u11960))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__comp__UNION__distrib ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__comp__UNION__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11961, _u11962, _u11963), _u11964), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11965, tc_fun(tc_prod(_u11962, _u11963), tc_HOL_Obool)), _u11966), _u11967)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11965, tc_fun(tc_prod(_u11961, _u11963), tc_HOL_Obool)), _u11966), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11962, _u11963), tc_HOL_Obool), tc_fun(tc_prod(_u11961, _u11963), tc_HOL_Obool), _u11965), hAPP(c_Relation_Orel__comp(_u11961, _u11962, _u11963), _u11964)), _u11967))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__comp__empty2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__comp__empty2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11968, _u11969, _u11970), _u11971), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11969, _u11970), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11968, _u11970), tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__comp__empty1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__comp__empty1-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11972, _u11973, _u11974), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11972, _u11973), tc_HOL_Obool))), _u11975) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11972, _u11974), tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__comp__distrib2 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__comp__distrib2-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11976, _u11977, _u11978), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11976, _u11977), tc_HOL_Obool)), _u11979), _u11980)), _u11981) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11976, _u11978), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u11976, _u11977, _u11978), _u11979), _u11981)), hAPP(hAPP(c_Relation_Orel__comp(_u11976, _u11977, _u11978), _u11980), _u11981))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__comp__distrib ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__comp__distrib-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11982, _u11983, _u11984), _u11985), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11983, _u11984), tc_HOL_Obool)), _u11986), _u11987)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11982, _u11984), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u11982, _u11983, _u11984), _u11985), _u11986)), hAPP(hAPP(c_Relation_Orel__comp(_u11982, _u11983, _u11984), _u11985), _u11987))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_O__assoc ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_O__assoc-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11988, _u11989, _u11990), hAPP(hAPP(c_Relation_Orel__comp(_u11988, _u11991, _u11989), _u11992), _u11993)), _u11994) = hAPP(hAPP(c_Relation_Orel__comp(_u11988, _u11991, _u11990), _u11992), hAPP(hAPP(c_Relation_Orel__comp(_u11991, _u11989, _u11990), _u11993), _u11994))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_rel__comp__mono ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_rel__comp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11995, _u11996), tc_HOL_Obool)), _u11997), _u11998)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11996, _u11999), tc_HOL_Obool)), _u12000), _u12001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11995, _u11999), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u11995, _u11996, _u11999), _u11997), _u12000)), hAPP(hAPP(c_Relation_Orel__comp(_u11995, _u11996, _u11999), _u11998), _u12001))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_union__comp__emptyL ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_union__comp__emptyL-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12002, _u12002, _u12002), _u12003), _u12004) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12002, _u12002), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12002, _u12002, _u12002), _u12005), _u12004) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12002, _u12002), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12002, _u12002, _u12002), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12002, _u12002), tc_HOL_Obool)), _u12003), _u12005)), _u12004) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12002, _u12002), tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_union__comp__emptyR ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_union__comp__emptyR-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12006, _u12006, _u12006), _u12007), _u12008) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12006, _u12006), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12006, _u12006, _u12006), _u12007), _u12009) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12006, _u12006), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12006, _u12006, _u12006), _u12007), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12006, _u12006), tc_HOL_Obool)), _u12008), _u12009)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12006, _u12006), tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_acc__subset ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_acc__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12010, _u12010), tc_HOL_Obool)), _u12011), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12010, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12010, _u12012)), c_Wellfounded_Oacc(_u12010, _u12011))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_acc__downward ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_acc__downward-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12013), _u12014), c_Wellfounded_Oacc(_u12013, _u12015))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12013, _u12013)), hAPP(hAPP(c_Product__Type_OPair(_u12013, _u12013), _u12016), _u12014)), _u12015)) | hBOOL(hAPP(hAPP(c_member(_u12013), _u12016), c_Wellfounded_Oacc(_u12013, _u12015))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_acc_Osimps ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_acc_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12022), _u12024), c_Wellfounded_Oacc(_u12022, _u12026))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12022, _u12022)), hAPP(hAPP(c_Product__Type_OPair(_u12022, _u12022), _u12017), _u12024)), _u12026)) | hBOOL(hAPP(hAPP(c_member(_u12022), _u12017), c_Wellfounded_Oacc(_u12022, _u12026))) )).
% 43.37/43.58 cnf(fact_acc_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12023), _u12025), c_Wellfounded_Oacc(_u12023, _u12027))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12023, _u12023)), hAPP(hAPP(c_Product__Type_OPair(_u12023, _u12023), skolem288(_u12027, _u12025, _u12023)), _u12025)), _u12027)) )).
% 43.37/43.58 cnf(fact_acc_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12023), _u12025), c_Wellfounded_Oacc(_u12023, _u12027))) | ~hBOOL(hAPP(hAPP(c_member(_u12023), skolem288(_u12027, _u12025, _u12023)), c_Wellfounded_Oacc(_u12023, _u12027))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_max__ext__compat ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_max__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12028, _u12028), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12028, _u12028, _u12028), _u12029), _u12030)), _u12029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12028, _u12029)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12028, _u12030)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12028, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12028, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12028, _u12029))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_min__ext__compat ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_min__ext__compat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12031, _u12031), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12031, _u12031, _u12031), _u12032), _u12033)), _u12032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12031, _u12032)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12031, _u12033)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12031, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12031, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12031, _u12032))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_type__definition_ORep__range ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_type__definition_ORep__range-1, axiom, ( ~c_Typedef_Otype__definition(_u12034, _u12035, _u12036, _u12037, _u12038) | ( hAPP(c_Set_Oimage(_u12034, _u12035, _u12036), c_Orderings_Otop__class_Otop(tc_fun(_u12034, tc_HOL_Obool))) = _u12038) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_type__definition_OAbs__image ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_type__definition_OAbs__image-1, axiom, ( ~c_Typedef_Otype__definition(_u12039, _u12040, _u12041, _u12042, _u12043) | ( hAPP(c_Set_Oimage(_u12040, _u12039, _u12042), _u12043) = c_Orderings_Otop__class_Otop(tc_fun(_u12039, tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_type__definition_OAbs__inject ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_type__definition_OAbs__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u12044, _u12045, _u12046, _u12047, _u12048) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12049), _u12048)) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12050), _u12048)) | ( hAPP(_u12047, _u12049) != hAPP(_u12047, _u12050)) | ( _u12049 = _u12050) )).
% 43.37/43.58 cnf(fact_type__definition_OAbs__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u12044, _u12045, _u12046, _u12047, _u12048) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12049), _u12048)) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12050), _u12048)) | ( _u12049 != _u12050) | ( hAPP(_u12047, _u12049) = hAPP(_u12047, _u12050)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_type__definition_ORep__inject ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_type__definition_ORep__inject-1, axiom, ( ~c_Typedef_Otype__definition(_u12051, _u12052, _u12053, _u12054, _u12055) | ( hAPP(_u12053, _u12056) != hAPP(_u12053, _u12057)) | ( _u12056 = _u12057) )).
% 43.37/43.58 cnf(fact_type__definition_ORep__inject-2, axiom, ( ~c_Typedef_Otype__definition(_u12051, _u12052, _u12053, _u12054, _u12055) | ( _u12056 != _u12057) | ( hAPP(_u12053, _u12056) = hAPP(_u12053, _u12057)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_type__definition_ORep__inverse ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_type__definition_ORep__inverse-1, axiom, ( ( hAPP(_u12061, hAPP(_u12060, _u12063)) = _u12063) | ~c_Typedef_Otype__definition(_u12058, _u12059, _u12060, _u12061, _u12062) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_type__definition_ORep ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_type__definition_ORep-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12065), hAPP(_u12066, _u12069)), _u12068)) | ~c_Typedef_Otype__definition(_u12064, _u12065, _u12066, _u12067, _u12068) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_type__definition_OAbs__inverse ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_type__definition_OAbs__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12071), _u12075), _u12074)) | ( hAPP(_u12072, hAPP(_u12073, _u12075)) = _u12075) | ~c_Typedef_Otype__definition(_u12070, _u12071, _u12072, _u12073, _u12074) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__comp__rel__comp__eq ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__comp__rel__comp__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12083, _u12085, _u12087, hAPP(hAPP(c_COMBC(_u12083, tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_fun(_u12085, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12085, tc_fun(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_fun(_u12085, tc_HOL_Obool)), _u12083), c_COMBC(_u12085, tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12085, tc_prod(_u12083, _u12085)), tc_fun(_u12085, tc_fun(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_HOL_Obool)), _u12083), hAPP(c_COMBB(tc_prod(_u12083, _u12085), tc_fun(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_HOL_Obool), _u12085), c_member(tc_prod(_u12083, _u12085)))), c_Product__Type_OPair(_u12083, _u12085)))), _u12089), hAPP(hAPP(c_COMBC(_u12085, tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_fun(_u12087, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12087, tc_fun(tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_fun(_u12087, tc_HOL_Obool)), _u12085), c_COMBC(_u12087, tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12087, tc_prod(_u12085, _u12087)), tc_fun(_u12087, tc_fun(tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_HOL_Obool)), _u12085), hAPP(c_COMBB(tc_prod(_u12085, _u12087), tc_fun(tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_HOL_Obool), _u12087), c_member(tc_prod(_u12085, _u12087)))), c_Product__Type_OPair(_u12085, _u12087)))), _u12091)), _u12093), _u12095)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12083, _u12087)), hAPP(hAPP(c_Product__Type_OPair(_u12083, _u12087), _u12093), _u12095)), hAPP(hAPP(c_Relation_Orel__comp(_u12083, _u12085, _u12087), _u12089), _u12091))) )).
% 43.37/43.58 cnf(fact_pred__comp__rel__comp__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12084, _u12088)), hAPP(hAPP(c_Product__Type_OPair(_u12084, _u12088), _u12094), _u12096)), hAPP(hAPP(c_Relation_Orel__comp(_u12084, _u12086, _u12088), _u12090), _u12092))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12084, _u12086, _u12088, hAPP(hAPP(c_COMBC(_u12084, tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_fun(_u12086, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12086, tc_fun(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_fun(_u12086, tc_HOL_Obool)), _u12084), c_COMBC(_u12086, tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12086, tc_prod(_u12084, _u12086)), tc_fun(_u12086, tc_fun(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_HOL_Obool)), _u12084), hAPP(c_COMBB(tc_prod(_u12084, _u12086), tc_fun(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_HOL_Obool), _u12086), c_member(tc_prod(_u12084, _u12086)))), c_Product__Type_OPair(_u12084, _u12086)))), _u12090), hAPP(hAPP(c_COMBC(_u12086, tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_fun(_u12088, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12088, tc_fun(tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_fun(_u12088, tc_HOL_Obool)), _u12086), c_COMBC(_u12088, tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12088, tc_prod(_u12086, _u12088)), tc_fun(_u12088, tc_fun(tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_HOL_Obool)), _u12086), hAPP(c_COMBB(tc_prod(_u12086, _u12088), tc_fun(tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_HOL_Obool), _u12088), c_member(tc_prod(_u12086, _u12088)))), c_Product__Type_OPair(_u12086, _u12088)))), _u12092)), _u12094), _u12096)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_reduction__pairI ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_reduction__pairI-1, axiom, ( ~c_Wellfounded_Owf(_u12097, _u12098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12097, _u12097), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12097, _u12097, _u12097), _u12098), _u12099)), _u12098)) | c_FunDef_Oreduction__pair(_u12097, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12097, _u12097), tc_HOL_Obool), tc_fun(tc_prod(_u12097, _u12097), tc_HOL_Obool)), _u12098), _u12099)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_max__extp_Oequations ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_max__extp_Oequations-1, axiom, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12108), _u12112)) )).
% 43.37/43.58 cnf(fact_max__extp_Oequations-2, axiom, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12108), _u12114)) )).
% 43.37/43.58 cnf(fact_max__extp_Oequations-3, axiom, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | ( _u12114 != c_Orderings_Obot__class_Obot(tc_fun(_u12108, tc_HOL_Obool))) )).
% 43.37/43.58 cnf(fact_max__extp_Oequations-4, axiom, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | ~hBOOL(hAPP(hAPP(c_member(_u12108), _u12101), _u12112)) | hBOOL(hAPP(hAPP(c_member(_u12108), skolem289(_u12114, _u12112, _u12110, _u12108, _u12101)), _u12114)) )).
% 43.37/43.58 cnf(fact_max__extp_Oequations-5, axiom, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | ~hBOOL(hAPP(hAPP(c_member(_u12108), _u12101), _u12112)) | hBOOL(hAPP(hAPP(_u12110, _u12101), skolem289(_u12114, _u12112, _u12110, _u12108, _u12101))) )).
% 43.37/43.58 cnf(fact_max__extp_Oequations-6, axiom, ( c_Wellfounded_Omax__extp(_u12109, _u12111, _u12113, _u12115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12109), _u12113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12109), _u12115)) | ( _u12115 = c_Orderings_Obot__class_Obot(tc_fun(_u12109, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12109), skolem290(_u12115, _u12113, _u12111, _u12109)), _u12113)) )).
% 43.37/43.58 cnf(fact_max__extp_Oequations-7, axiom, ( c_Wellfounded_Omax__extp(_u12109, _u12111, _u12113, _u12115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12109), _u12113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12109), _u12115)) | ( _u12115 = c_Orderings_Obot__class_Obot(tc_fun(_u12109, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12109), _u12102), _u12115)) | ~hBOOL(hAPP(hAPP(_u12111, skolem290(_u12115, _u12113, _u12111, _u12109)), _u12102)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wf__less__than ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wf__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__comp_Ointros ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__comp_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12116, _u12117), _u12118)) | ~hBOOL(hAPP(hAPP(_u12119, _u12118), _u12120)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12121, _u12122, _u12123, _u12116, _u12119), _u12117), _u12120)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wf__empty ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wf__empty-1, axiom, ( c_Wellfounded_Owf(_u12124, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12124, _u12124), tc_HOL_Obool))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wf__inv__image ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wf__inv__image-1, axiom, ( ~c_Wellfounded_Owf(_u12125, _u12126) | c_Wellfounded_Owf(_u12127, hAPP(hAPP(c_Relation_Oinv__image(_u12125, _u12127), _u12126), _u12128)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wf__lex__prod ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wf__lex__prod-1, axiom, ( ~c_Wellfounded_Owf(_u12129, _u12130) | ~c_Wellfounded_Owf(_u12131, _u12132) | c_Wellfounded_Owf(tc_prod(_u12129, _u12131), c_Wellfounded_Olex__prod(_u12129, _u12131, _u12130, _u12132)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wf__measure ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wf__measure-1, axiom, ( c_Wellfounded_Owf(_u12133, hAPP(c_Wellfounded_Omeasure(_u12133), _u12134)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wf__comp__self ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wf__comp__self-1, axiom, ( ~c_Wellfounded_Owf(_u12137, _u12139) | c_Wellfounded_Owf(_u12137, hAPP(hAPP(c_Relation_Orel__comp(_u12137, _u12137, _u12137), _u12139), _u12139)) )).
% 43.37/43.58 cnf(fact_wf__comp__self-2, axiom, ( ~c_Wellfounded_Owf(_u12138, hAPP(hAPP(c_Relation_Orel__comp(_u12138, _u12138, _u12138), _u12140), _u12140)) | c_Wellfounded_Owf(_u12138, _u12140) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wf__subset ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wf__subset-1, axiom, ( ~c_Wellfounded_Owf(_u12141, _u12142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12141, _u12141), tc_HOL_Obool)), _u12143), _u12142)) | c_Wellfounded_Owf(_u12141, _u12143) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_min__ext__wf ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_min__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u12144, _u12145) | c_Wellfounded_Owf(tc_fun(_u12144, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12144, _u12145)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wf__less ( axiom ) converted to clauses:
% 43.37/43.58 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)))) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_pred__comp_Oequations ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_pred__comp_Oequations-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12155, _u12157, _u12159, _u12161, _u12163), _u12165), _u12167)) | hBOOL(hAPP(hAPP(_u12161, _u12165), skolem291(_u12167, _u12165, _u12163, _u12161))) )).
% 43.37/43.58 cnf(fact_pred__comp_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12155, _u12157, _u12159, _u12161, _u12163), _u12165), _u12167)) | hBOOL(hAPP(hAPP(_u12163, skolem291(_u12167, _u12165, _u12163, _u12161)), _u12167)) )).
% 43.37/43.58 cnf(fact_pred__comp_Oequations-3, axiom, ( ~hBOOL(hAPP(hAPP(_u12162, _u12166), _u12147)) | ~hBOOL(hAPP(hAPP(_u12164, _u12147), _u12168)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12156, _u12158, _u12160, _u12162, _u12164), _u12166), _u12168)) )).
% 43.37/43.58
% 43.37/43.58 % Formula: fact_wf__Int1 ( axiom ) converted to clauses:
% 43.37/43.58 cnf(fact_wf__Int1-1, axiom, ( ~c_Wellfounded_Owf(_u12169, _u12170) | c_Wellfounded_Owf(_u12169, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12169, _u12169), tc_HOL_Obool)), _u12170), _u12171)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__Int2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__Int2-1, axiom, ( ~c_Wellfounded_Owf(_u12172, _u12173) | c_Wellfounded_Owf(_u12172, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool)), _u12174), _u12173)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__finite__psubset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__finite__psubset-1, axiom, ( c_Wellfounded_Owf(tc_fun(_u12175, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u12175)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__mlex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__mlex-1, axiom, ( ~c_Wellfounded_Owf(_u12176, _u12177) | c_Wellfounded_Owf(_u12176, c_Wellfounded_Omlex__prod(_u12176, _u12178, _u12177)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__pair__less ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__pair__less-1, axiom, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_max__ext__wf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_max__ext__wf-1, axiom, ( ~c_Wellfounded_Owf(_u12179, _u12180) | c_Wellfounded_Owf(tc_fun(_u12179, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u12179, _u12180)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__not__refl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__not__refl-1, axiom, ( ~c_Wellfounded_Owf(_u12181, _u12182) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12181, _u12181)), hAPP(hAPP(c_Product__Type_OPair(_u12181, _u12181), _u12183), _u12183)), _u12182)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__not__sym ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__not__sym-1, axiom, ( ~c_Wellfounded_Owf(_u12184, _u12185) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12184, _u12184)), hAPP(hAPP(c_Product__Type_OPair(_u12184, _u12184), _u12186), _u12187)), _u12185)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12184, _u12184)), hAPP(hAPP(c_Product__Type_OPair(_u12184, _u12184), _u12187), _u12186)), _u12185)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__asym ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__asym-1, axiom, ( ~c_Wellfounded_Owf(_u12188, _u12189) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12188, _u12188)), hAPP(hAPP(c_Product__Type_OPair(_u12188, _u12188), _u12190), _u12191)), _u12189)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12188, _u12188)), hAPP(hAPP(c_Product__Type_OPair(_u12188, _u12188), _u12191), _u12190)), _u12189)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__irrefl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__irrefl-1, axiom, ( ~c_Wellfounded_Owf(_u12192, _u12193) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12192, _u12192)), hAPP(hAPP(c_Product__Type_OPair(_u12192, _u12192), _u12194), _u12194)), _u12193)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__int__ge__less__than2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__int__ge__less__than2-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u12195)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__int__ge__less__than ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__int__ge__less__than-1, axiom, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u12196)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__acc__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__acc__iff-1, axiom, ( ~c_Wellfounded_Owf(_u12201, _u12203) | hBOOL(hAPP(hAPP(c_member(_u12201), _u12197), c_Wellfounded_Oacc(_u12201, _u12203))) )).
% 43.37/43.59 cnf(fact_wf__acc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12202), skolem292(_u12204, _u12202)), c_Wellfounded_Oacc(_u12202, _u12204))) | c_Wellfounded_Owf(_u12202, _u12204) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_acc__wfD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_acc__wfD-1, axiom, ( ~c_Wellfounded_Owf(_u12205, _u12206) | hBOOL(hAPP(hAPP(c_member(_u12205), _u12207), c_Wellfounded_Oacc(_u12205, _u12206))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__no__loop ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__no__loop-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12208, _u12208, _u12208), _u12209), _u12209) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12208, _u12208), tc_HOL_Obool))) | c_Wellfounded_Owf(_u12208, _u12209) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__union__merge ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__union__merge-1, axiom, ( ~c_Wellfounded_Owf(_u12213, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12213, _u12213), tc_HOL_Obool)), _u12215), _u12217)) | c_Wellfounded_Owf(_u12213, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12213, _u12213), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12213, _u12213), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12213, _u12213, _u12213), _u12215), _u12215)), hAPP(hAPP(c_Relation_Orel__comp(_u12213, _u12213, _u12213), _u12217), _u12215))), _u12217)) )).
% 43.37/43.59 cnf(fact_wf__union__merge-2, axiom, ( ~c_Wellfounded_Owf(_u12214, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12214, _u12214), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12214, _u12214), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12214, _u12214, _u12214), _u12216), _u12216)), hAPP(hAPP(c_Relation_Orel__comp(_u12214, _u12214, _u12214), _u12218), _u12216))), _u12218)) | c_Wellfounded_Owf(_u12214, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12214, _u12214), tc_HOL_Obool)), _u12216), _u12218)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__iff__no__infinite__down__chain ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__iff__no__infinite__down__chain-1, axiom, ( ~c_Wellfounded_Owf(_u12225, _u12227) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12225, _u12225)), hAPP(hAPP(c_Product__Type_OPair(_u12225, _u12225), hAPP(_u12220, hAPP(c_Nat_OSuc, skolem293(_u12227, _u12225, _u12220)))), hAPP(_u12220, skolem293(_u12227, _u12225, _u12220)))), _u12227)) )).
% 43.37/43.59 cnf(fact_wf__iff__no__infinite__down__chain-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12226, _u12226)), hAPP(hAPP(c_Product__Type_OPair(_u12226, _u12226), hAPP(skolem294(_u12228, _u12226), hAPP(c_Nat_OSuc, _u12221))), hAPP(skolem294(_u12228, _u12226), _u12221))), _u12228)) | c_Wellfounded_Owf(_u12226, _u12228) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wfE__pf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wfE__pf-1, axiom, ( ~c_Wellfounded_Owf(_u12229, _u12230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12229, tc_HOL_Obool)), _u12231), hAPP(c_Relation_OImage(_u12229, _u12229, _u12230), _u12231))) | ( _u12231 = c_Orderings_Obot__class_Obot(tc_fun(_u12229, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__union__compatible ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__union__compatible-1, axiom, ( ~c_Wellfounded_Owf(_u12232, _u12233) | ~c_Wellfounded_Owf(_u12232, _u12234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12232, _u12232), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12232, _u12232, _u12232), _u12233), _u12234)), _u12233)) | c_Wellfounded_Owf(_u12232, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12232, _u12232), tc_HOL_Obool)), _u12233), _u12234)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf-1, axiom, ( ~class_Orderings_Owellorder(_u12235) | c_Wellfounded_Owf(_u12235, hAPP(c_Set_OCollect(tc_prod(_u12235, _u12235)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12235, _u12235, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u12235)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_reduction__pair__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_reduction__pair__def-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12238, _u12240) | c_Wellfounded_Owf(_u12238, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool), tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240)) )).
% 43.37/43.59 cnf(fact_reduction__pair__def-2, axiom, ( ~c_FunDef_Oreduction__pair(_u12238, _u12240) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12238, _u12238, _u12238), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool), tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool), tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool), tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240))) )).
% 43.37/43.59 cnf(fact_reduction__pair__def-3, axiom, ( ~c_Wellfounded_Owf(_u12239, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool), tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), _u12241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12239, _u12239, _u12239), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool), tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), _u12241)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool), tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), _u12241))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool), tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), _u12241))) | c_FunDef_Oreduction__pair(_u12239, _u12241) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_reduction__pair__lemma ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_reduction__pair__lemma-1, axiom, ( ~c_FunDef_Oreduction__pair(_u12242, _u12243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12244), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool), tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12243))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12245), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool), tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12243))) | ~c_Wellfounded_Owf(_u12242, _u12245) | c_Wellfounded_Owf(_u12242, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12244), _u12245)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__lenlex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__lenlex-1, axiom, ( ~c_Wellfounded_Owf(_u12246, _u12247) | c_Wellfounded_Owf(tc_List_Olist(_u12246), c_List_Olenlex(_u12246, _u12247)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__if__measure ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__if__measure-1, axiom, ( c_Wellfounded_Owf(_u12252, hAPP(c_Set_OCollect(tc_prod(_u12252, _u12252)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12252, _u12252, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12252, tc_HOL_Obool), tc_fun(_u12252, tc_HOL_Obool), _u12252), hAPP(c_COMBS(_u12252, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12252), c_fconj), _u12249))), hAPP(hAPP(c_COMBC(_u12252, tc_fun(_u12252, _u12252), tc_fun(_u12252, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12252, tc_HOL_Obool), tc_fun(tc_fun(_u12252, _u12252), tc_fun(_u12252, tc_HOL_Obool)), _u12252), c_COMBB(_u12252, tc_HOL_Obool, _u12252)), c_fequal)), _u12251))))) | hBOOL(hAPP(_u12249, skolem295(_u12252, _u12251, _u12250, _u12249))) )).
% 43.37/43.59 cnf(fact_wf__if__measure-2, axiom, ( c_Wellfounded_Owf(_u12252, hAPP(c_Set_OCollect(tc_prod(_u12252, _u12252)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12252, _u12252, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12252, tc_HOL_Obool), tc_fun(_u12252, tc_HOL_Obool), _u12252), hAPP(c_COMBS(_u12252, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12252), c_fconj), _u12249))), hAPP(hAPP(c_COMBC(_u12252, tc_fun(_u12252, _u12252), tc_fun(_u12252, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12252, tc_HOL_Obool), tc_fun(tc_fun(_u12252, _u12252), tc_fun(_u12252, tc_HOL_Obool)), _u12252), c_COMBB(_u12252, tc_HOL_Obool, _u12252)), c_fequal)), _u12251))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12250, hAPP(_u12251, skolem295(_u12252, _u12251, _u12250, _u12249)))), hAPP(_u12250, skolem295(_u12252, _u12251, _u12250, _u12249)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_max__ext_Ointros ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_max__ext_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12256)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12257)) | ( _u12257 = c_Orderings_Obot__class_Obot(tc_fun(_u12255, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool)), _u12256), _u12257)), c_Wellfounded_Omax__ext(_u12255, _u12258))) | hBOOL(hAPP(hAPP(c_member(_u12255), skolem296(_u12258, _u12257, _u12256, _u12255)), _u12256)) )).
% 43.37/43.59 cnf(fact_max__ext_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12256)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12257)) | ( _u12257 = c_Orderings_Obot__class_Obot(tc_fun(_u12255, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool)), _u12256), _u12257)), c_Wellfounded_Omax__ext(_u12255, _u12258))) | ~hBOOL(hAPP(hAPP(c_member(_u12255), _u12253), _u12257)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12255, _u12255)), hAPP(hAPP(c_Product__Type_OPair(_u12255, _u12255), skolem296(_u12258, _u12257, _u12256, _u12255)), _u12253)), _u12258)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_pred__nat__def ( axiom ) converted to clauses:
% 43.37/43.59 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)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__lex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__lex-1, axiom, ( ~c_Wellfounded_Owf(_u12259, _u12260) | c_Wellfounded_Owf(tc_List_Olist(_u12259), c_List_Olex(_u12259, _u12260)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__lexn ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__lexn-1, axiom, ( ~c_Wellfounded_Owf(_u12261, _u12262) | c_Wellfounded_Owf(tc_List_Olist(_u12261), hAPP(c_List_Olexn(_u12261, _u12262), _u12263)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_lex__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_lex__def-1, axiom, ( ( c_List_Olex(_u12264, _u12265) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u12264), tc_List_Olist(_u12264)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u12264, _u12265))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_lexn_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_lexn_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Olexn(_u12266, _u12267), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u12266), tc_List_Olist(_u12266)), tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__pred__nat ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__pred__nat-1, axiom, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__same__fst ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__same__fst-1, axiom, ( c_Wellfounded_Owf(tc_prod(_u12272, _u12270), c_Recdef_Osame__fst(_u12272, _u12270, _u12269, _u12271)) | hBOOL(hAPP(_u12269, skolem297(_u12272, _u12271, _u12270, _u12269))) )).
% 43.37/43.59 cnf(fact_wf__same__fst-2, axiom, ( c_Wellfounded_Owf(tc_prod(_u12272, _u12270), c_Recdef_Osame__fst(_u12272, _u12270, _u12269, _u12271)) | ~c_Wellfounded_Owf(_u12270, hAPP(_u12271, skolem297(_u12272, _u12271, _u12270, _u12269))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Ozero__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Ozero__frac__def-1, axiom, ( ( c_Nitpick_Ozero__frac(_u12273) = c_Nitpick_OAbs__Frac(_u12273, 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)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__Collect__split ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__Collect__split-1, axiom, ( ( hAPP(c_Relation_ORange(_u12274, _u12275), hAPP(c_Set_OCollect(tc_prod(_u12274, _u12275)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12274, _u12275, tc_HOL_Obool), _u12276))) = hAPP(c_Set_OCollect(_u12275), hAPP(hAPP(c_COMBB(tc_fun(_u12274, tc_HOL_Obool), tc_HOL_Obool, _u12275), c_HOL_OEx(_u12274)), hAPP(c_COMBC(_u12274, _u12275, tc_HOL_Obool), _u12276)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_RangeI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_RangeI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12277, _u12278)), hAPP(hAPP(c_Product__Type_OPair(_u12277, _u12278), _u12279), _u12280)), _u12281)) | hBOOL(hAPP(hAPP(c_member(_u12278), _u12280), hAPP(c_Relation_ORange(_u12277, _u12278), _u12281))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__Id__on ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__Id__on-1, axiom, ( ( hAPP(c_Relation_ORange(_u12282, _u12282), c_Relation_OId__on(_u12282, _u12283)) = _u12283) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__Diff__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12284, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12284, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12285, _u12284), _u12286)), hAPP(c_Relation_ORange(_u12285, _u12284), _u12287))), hAPP(c_Relation_ORange(_u12285, _u12284), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12285, _u12284), tc_HOL_Obool)), _u12286), _u12287)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__empty-1, axiom, ( ( hAPP(c_Relation_ORange(_u12288, _u12289), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12288, _u12289), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12289, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__empty__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__empty__iff-1, axiom, ( ( hAPP(c_Relation_ORange(_u12293, _u12295), _u12297) != c_Orderings_Obot__class_Obot(tc_fun(_u12295, tc_HOL_Obool))) | ( _u12297 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12293, _u12295), tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_Range__empty__iff-2, axiom, ( ( _u12298 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12294, _u12296), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12294, _u12296), _u12298) = c_Orderings_Obot__class_Obot(tc_fun(_u12296, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__Un__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__Un__eq-1, axiom, ( ( hAPP(c_Relation_ORange(_u12299, _u12300), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12299, _u12300), tc_HOL_Obool)), _u12301), _u12302)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12300, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12299, _u12300), _u12301)), hAPP(c_Relation_ORange(_u12299, _u12300), _u12302))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__Range ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__Range-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12303, _u12304)), _u12305)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12304), hAPP(c_Relation_ORange(_u12303, _u12304), _u12305))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_snd__eq__Range ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_snd__eq__Range-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12306, _u12307), _u12307, c_Product__Type_Osnd(_u12306, _u12307)), _u12308) = hAPP(c_Relation_ORange(_u12306, _u12307), _u12308)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12315), _u12317), hAPP(c_Relation_ORange(_u12319, _u12315), _u12321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12319, _u12315)), hAPP(hAPP(c_Product__Type_OPair(_u12319, _u12315), skolem298(_u12321, _u12319, _u12317, _u12315)), _u12317)), _u12321)) )).
% 43.37/43.59 cnf(fact_Range__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12320, _u12316)), hAPP(hAPP(c_Product__Type_OPair(_u12320, _u12316), _u12310), _u12318)), _u12322)) | hBOOL(hAPP(hAPP(c_member(_u12316), _u12318), hAPP(c_Relation_ORange(_u12320, _u12316), _u12322))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__insert-1, axiom, ( ( hAPP(c_Relation_ORange(_u12323, _u12324), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12323, _u12324)), hAPP(hAPP(c_Product__Type_OPair(_u12323, _u12324), _u12325), _u12326)), _u12327)) = hAPP(hAPP(c_Set_Oinsert(_u12324), _u12326), hAPP(c_Relation_ORange(_u12323, _u12324), _u12327))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__Int__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12328, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12329, _u12328), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12329, _u12328), tc_HOL_Obool)), _u12330), _u12331))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12328, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12329, _u12328), _u12330)), hAPP(c_Relation_ORange(_u12329, _u12328), _u12331)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Oone__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Oone__frac__def-1, axiom, ( ( c_Nitpick_Oone__frac(_u12332) = c_Nitpick_OAbs__Frac(_u12332, 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)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Onumber__of__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Onumber__of__frac__def-1, axiom, ( ( c_Nitpick_Onumber__of__frac(_u12333, _u12334) = c_Nitpick_OAbs__Frac(_u12333, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u12334), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_RangeP__Range__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_RangeP__Range__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12339, _u12341, hAPP(hAPP(c_COMBC(_u12339, tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_fun(_u12341, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12341, tc_fun(tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_fun(_u12341, tc_HOL_Obool)), _u12339), c_COMBC(_u12341, tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12341, tc_prod(_u12339, _u12341)), tc_fun(_u12341, tc_fun(tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_HOL_Obool)), _u12339), hAPP(c_COMBB(tc_prod(_u12339, _u12341), tc_fun(tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_HOL_Obool), _u12341), c_member(tc_prod(_u12339, _u12341)))), c_Product__Type_OPair(_u12339, _u12341)))), _u12343)), _u12345)) | hBOOL(hAPP(hAPP(c_member(_u12341), _u12345), hAPP(c_Relation_ORange(_u12339, _u12341), _u12343))) )).
% 43.37/43.59 cnf(fact_RangeP__Range__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12342), _u12346), hAPP(c_Relation_ORange(_u12340, _u12342), _u12344))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12340, _u12342, hAPP(hAPP(c_COMBC(_u12340, tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_fun(_u12342, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12342, tc_fun(tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_fun(_u12342, tc_HOL_Obool)), _u12340), c_COMBC(_u12342, tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12342, tc_prod(_u12340, _u12342)), tc_fun(_u12342, tc_fun(tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_HOL_Obool)), _u12340), hAPP(c_COMBB(tc_prod(_u12340, _u12342), tc_fun(tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_HOL_Obool), _u12342), c_member(tc_prod(_u12340, _u12342)))), c_Product__Type_OPair(_u12340, _u12342)))), _u12344)), _u12346)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_RangeP_Ointros ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_RangeP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12347, _u12348), _u12349)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12350, _u12351, _u12347), _u12349)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_RangeP_Oequations ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_RangeP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u12362, skolem299(_u12364, _u12362)), _u12364)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12358, _u12360, _u12362), _u12364)) )).
% 43.37/43.59 cnf(fact_RangeP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u12363, _u12353), _u12365)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12359, _u12361, _u12363), _u12365)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Ofrac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Ofrac__def-1, axiom, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u12366), _u12367), _u12368) = c_Nitpick_OAbs__Frac(_u12366, c_Nitpick_Onorm__frac(_u12367, _u12368))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_RangeE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_RangeE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12370), _u12371), hAPP(c_Relation_ORange(_u12372, _u12370), _u12373))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12372, _u12370)), hAPP(hAPP(c_Product__Type_OPair(_u12372, _u12370), skolem300(_u12373, _u12372, _u12371, _u12370)), _u12371)), _u12373)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__Un ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__Un-1, axiom, ( ~c_Wellfounded_Owf(_u12374, _u12375) | ~c_Wellfounded_Owf(_u12374, _u12376) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12374, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12374, _u12374), _u12375)), hAPP(c_Relation_ORange(_u12374, _u12374), _u12376)) != c_Orderings_Obot__class_Obot(tc_fun(_u12374, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12374, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12374, _u12374), tc_HOL_Obool)), _u12375), _u12376)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_DomainI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_DomainI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12377, _u12378)), hAPP(hAPP(c_Product__Type_OPair(_u12377, _u12378), _u12379), _u12380)), _u12381)) | hBOOL(hAPP(hAPP(c_member(_u12377), _u12379), hAPP(c_Relation_ODomain(_u12377, _u12378), _u12381))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__Id__on ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__Id__on-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12382, _u12382), c_Relation_OId__on(_u12382, _u12383)) = _u12383) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__empty-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12384, _u12385), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12384, _u12385), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12384, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__empty__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__empty__iff-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12389, _u12391), _u12393) != c_Orderings_Obot__class_Obot(tc_fun(_u12389, tc_HOL_Obool))) | ( _u12393 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12389, _u12391), tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_Domain__empty__iff-2, axiom, ( ( _u12394 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12390, _u12392), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u12390, _u12392), _u12394) = c_Orderings_Obot__class_Obot(tc_fun(_u12390, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__mono ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12395, _u12396), tc_HOL_Obool)), _u12397), _u12398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12395, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12395, _u12396), _u12397)), hAPP(c_Relation_ODomain(_u12395, _u12396), _u12398))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__Un__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__Un__eq-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12399, _u12400), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12399, _u12400), tc_HOL_Obool)), _u12401), _u12402)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12399, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12399, _u12400), _u12401)), hAPP(c_Relation_ODomain(_u12399, _u12400), _u12402))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__Domain ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__Domain-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12403, _u12404)), _u12405)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12403), hAPP(c_Relation_ODomain(_u12403, _u12404), _u12405))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fst__eq__Domain ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fst__eq__Domain-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12406, _u12407), _u12406, c_Product__Type_Ofst(_u12406, _u12407)), _u12408) = hAPP(c_Relation_ODomain(_u12406, _u12407), _u12408)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12415), _u12417), hAPP(c_Relation_ODomain(_u12415, _u12419), _u12421))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12415, _u12419)), hAPP(hAPP(c_Product__Type_OPair(_u12415, _u12419), _u12417), skolem301(_u12421, _u12419, _u12417, _u12415))), _u12421)) )).
% 43.37/43.59 cnf(fact_Domain__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12416, _u12420)), hAPP(hAPP(c_Product__Type_OPair(_u12416, _u12420), _u12418), _u12410)), _u12422)) | hBOOL(hAPP(hAPP(c_member(_u12416), _u12418), hAPP(c_Relation_ODomain(_u12416, _u12420), _u12422))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__insert-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12423, _u12424), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12423, _u12424)), hAPP(hAPP(c_Product__Type_OPair(_u12423, _u12424), _u12425), _u12426)), _u12427)) = hAPP(hAPP(c_Set_Oinsert(_u12423), _u12425), hAPP(c_Relation_ODomain(_u12423, _u12424), _u12427))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__Int__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12428, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12428, _u12429), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12428, _u12429), tc_HOL_Obool)), _u12430), _u12431))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12428, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12428, _u12429), _u12430)), hAPP(c_Relation_ODomain(_u12428, _u12429), _u12431)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__Diff__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__Diff__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12432, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12432, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12432, _u12433), _u12434)), hAPP(c_Relation_ODomain(_u12432, _u12433), _u12435))), hAPP(c_Relation_ODomain(_u12432, _u12433), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12432, _u12433), tc_HOL_Obool)), _u12434), _u12435)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Field__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Field__def-1, axiom, ( ( hAPP(c_Relation_OField(_u12436), _u12437) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12436, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12436, _u12436), _u12437)), hAPP(c_Relation_ORange(_u12436, _u12436), _u12437))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__Collect__split ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__Collect__split-1, axiom, ( ( hAPP(c_Relation_ODomain(_u12438, _u12439), hAPP(c_Set_OCollect(tc_prod(_u12438, _u12439)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12438, _u12439, tc_HOL_Obool), _u12440))) = hAPP(c_Set_OCollect(_u12438), hAPP(hAPP(c_COMBB(tc_fun(_u12439, tc_HOL_Obool), tc_HOL_Obool, _u12438), c_HOL_OEx(_u12439)), _u12440))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_DomainP__Domain__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_DomainP__Domain__eq-1, axiom, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u12445, _u12447, hAPP(hAPP(c_COMBC(_u12445, tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_fun(_u12447, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12447, tc_fun(tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_fun(_u12447, tc_HOL_Obool)), _u12445), c_COMBC(_u12447, tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12447, tc_prod(_u12445, _u12447)), tc_fun(_u12447, tc_fun(tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_HOL_Obool)), _u12445), hAPP(c_COMBB(tc_prod(_u12445, _u12447), tc_fun(tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_HOL_Obool), _u12447), c_member(tc_prod(_u12445, _u12447)))), c_Product__Type_OPair(_u12445, _u12447)))), _u12449)), _u12451)) | hBOOL(hAPP(hAPP(c_member(_u12445), _u12451), hAPP(c_Relation_ODomain(_u12445, _u12447), _u12449))) )).
% 43.37/43.59 cnf(fact_DomainP__Domain__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12446), _u12452), hAPP(c_Relation_ODomain(_u12446, _u12448), _u12450))) | hBOOL(hAPP(c_Predicate_ODomainP(_u12446, _u12448, hAPP(hAPP(c_COMBC(_u12446, tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_fun(_u12448, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12448, tc_fun(tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_fun(_u12448, tc_HOL_Obool)), _u12446), c_COMBC(_u12448, tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12448, tc_prod(_u12446, _u12448)), tc_fun(_u12448, tc_fun(tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_HOL_Obool)), _u12446), hAPP(c_COMBB(tc_prod(_u12446, _u12448), tc_fun(tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_HOL_Obool), _u12448), c_member(tc_prod(_u12446, _u12448)))), c_Product__Type_OPair(_u12446, _u12448)))), _u12450)), _u12452)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_DomainE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_DomainE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12454), _u12455), hAPP(c_Relation_ODomain(_u12454, _u12456), _u12457))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12454, _u12456)), hAPP(hAPP(c_Product__Type_OPair(_u12454, _u12456), _u12455), skolem302(_u12457, _u12456, _u12455, _u12454))), _u12457)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_image__split__eq__Sigma ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_image__split__eq__Sigma-1, axiom, ( ( hAPP(c_Set_Oimage(_u12458, tc_prod(_u12459, _u12460), hAPP(hAPP(c_COMBS(_u12458, _u12460, tc_prod(_u12459, _u12460)), hAPP(hAPP(c_COMBB(_u12459, tc_fun(_u12460, tc_prod(_u12459, _u12460)), _u12458), c_Product__Type_OPair(_u12459, _u12460)), _u12461)), _u12462)), _u12463) = hAPP(hAPP(c_Product__Type_OSigma(_u12459, _u12460), hAPP(c_Set_Oimage(_u12458, _u12459, _u12461), _u12463)), hAPP(hAPP(c_COMBB(tc_fun(_u12458, tc_HOL_Obool), tc_fun(_u12460, tc_HOL_Obool), _u12459), c_Set_Oimage(_u12458, _u12460, _u12462)), hAPP(hAPP(c_COMBC(_u12459, tc_fun(_u12458, tc_HOL_Obool), tc_fun(_u12458, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12458, tc_HOL_Obool), tc_fun(tc_fun(_u12458, tc_HOL_Obool), tc_fun(_u12458, tc_HOL_Obool)), _u12459), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12458, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12459, tc_HOL_Obool), tc_fun(_u12458, tc_HOL_Obool), _u12459), c_Set_Ovimage(_u12458, _u12459, _u12461)), hAPP(hAPP(c_COMBC(_u12459, tc_fun(_u12459, tc_HOL_Obool), tc_fun(_u12459, tc_HOL_Obool)), c_Set_Oinsert(_u12459)), c_Orderings_Obot__class_Obot(tc_fun(_u12459, tc_HOL_Obool)))))), _u12463)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_DomainP_Ointros ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_DomainP_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u12464, _u12465), _u12466)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12467, _u12468, _u12464), _u12465)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_SigmaI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_SigmaI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12469), _u12470), _u12471)) | ~hBOOL(hAPP(hAPP(c_member(_u12472), _u12473), hAPP(_u12474, _u12470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12469, _u12472)), hAPP(hAPP(c_Product__Type_OPair(_u12469, _u12472), _u12470), _u12473)), hAPP(hAPP(c_Product__Type_OSigma(_u12469, _u12472), _u12471), _u12474))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__empty1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__empty1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12475, _u12476), c_Orderings_Obot__class_Obot(tc_fun(_u12475, tc_HOL_Obool))), _u12477) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12475, _u12476), tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Times__eq__cancel2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Times__eq__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12478), _u12479), _u12480)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12478), _u12482), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12481), _u12480)) != hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12478), _u12483), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12481), _u12480))) | ( _u12482 = _u12483) )).
% 43.37/43.59 cnf(fact_Times__eq__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12478), _u12479), _u12480)) | ( _u12482 != _u12483) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12478), _u12482), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12481), _u12480)) = hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12478), _u12483), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12481), _u12480))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_card__cartesian__product ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_card__cartesian__product-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12484, _u12485)), hAPP(hAPP(c_Product__Type_OSigma(_u12484, _u12485), _u12486), hAPP(c_COMBK(tc_fun(_u12485, tc_HOL_Obool), _u12484), _u12487))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12484), _u12486)), hAPP(c_Finite__Set_Ocard(_u12485), _u12487))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setsum__cartesian__product ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setsum__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12488) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12489, _u12488), hAPP(hAPP(c_COMBC(_u12489, tc_fun(_u12490, tc_HOL_Obool), _u12488), hAPP(hAPP(c_COMBB(tc_fun(_u12490, _u12488), tc_fun(tc_fun(_u12490, tc_HOL_Obool), _u12488), _u12489), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12490, _u12488)), _u12491)), _u12492)), _u12493) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12489, _u12490), _u12488), hAPP(c_Product__Type_Oprod_Oprod__case(_u12489, _u12490, _u12488), _u12491)), hAPP(hAPP(c_Product__Type_OSigma(_u12489, _u12490), _u12493), hAPP(c_COMBK(tc_fun(_u12490, tc_HOL_Obool), _u12489), _u12492)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Times__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Times__empty-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12498, _u12500), _u12502), hAPP(c_COMBK(tc_fun(_u12500, tc_HOL_Obool), _u12498), _u12504)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12498, _u12500), tc_HOL_Obool))) | ( _u12502 = c_Orderings_Obot__class_Obot(tc_fun(_u12498, tc_HOL_Obool))) | ( _u12504 = c_Orderings_Obot__class_Obot(tc_fun(_u12500, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_Times__empty-2, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12499, _u12501), _u12503), hAPP(c_COMBK(tc_fun(_u12501, tc_HOL_Obool), _u12499), _u12505)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12499, _u12501), tc_HOL_Obool))) | ( _u12503 != c_Orderings_Obot__class_Obot(tc_fun(_u12499, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_Times__empty-3, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12499, _u12501), _u12503), hAPP(c_COMBK(tc_fun(_u12501, tc_HOL_Obool), _u12499), _u12505)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12499, _u12501), tc_HOL_Obool))) | ( _u12505 != c_Orderings_Obot__class_Obot(tc_fun(_u12501, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__empty2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__empty2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12506, _u12507), _u12508), hAPP(c_COMBK(tc_fun(_u12507, tc_HOL_Obool), _u12506), c_Orderings_Obot__class_Obot(tc_fun(_u12507, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12506, _u12507), tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Compl__Times__UNIV1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Compl__Times__UNIV1-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12509, _u12510), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), c_Orderings_Otop__class_Otop(tc_fun(_u12509, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), _u12511))) = hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), c_Orderings_Otop__class_Otop(tc_fun(_u12509, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12510, tc_HOL_Obool)), _u12511)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Compl__Times__UNIV2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Compl__Times__UNIV2-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12512, _u12513), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12512, _u12513), _u12514), hAPP(c_COMBK(tc_fun(_u12513, tc_HOL_Obool), _u12512), c_Orderings_Otop__class_Otop(tc_fun(_u12513, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12512, _u12513), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12512, tc_HOL_Obool)), _u12514)), hAPP(c_COMBK(tc_fun(_u12513, tc_HOL_Obool), _u12512), c_Orderings_Otop__class_Otop(tc_fun(_u12513, tc_HOL_Obool))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setprod__cartesian__product ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setprod__cartesian__product-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12515) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12516, _u12515), hAPP(hAPP(c_COMBC(_u12516, tc_fun(_u12517, tc_HOL_Obool), _u12515), hAPP(hAPP(c_COMBB(tc_fun(_u12517, _u12515), tc_fun(tc_fun(_u12517, tc_HOL_Obool), _u12515), _u12516), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12517, _u12515)), _u12518)), _u12519)), _u12520) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12516, _u12517), _u12515), hAPP(c_Product__Type_Oprod_Oprod__case(_u12516, _u12517, _u12515), _u12518)), hAPP(hAPP(c_Product__Type_OSigma(_u12516, _u12517), _u12520), hAPP(c_COMBK(tc_fun(_u12517, tc_HOL_Obool), _u12516), _u12519)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__Un__distrib1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12521, _u12522), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12521, tc_HOL_Obool)), _u12523), _u12524)), _u12525) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12521, _u12522), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12521, _u12522), _u12523), _u12525)), hAPP(hAPP(c_Product__Type_OSigma(_u12521, _u12522), _u12524), _u12525))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Times__Un__distrib1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Times__Un__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12526, _u12527), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12526, tc_HOL_Obool)), _u12528), _u12529)), hAPP(c_COMBK(tc_fun(_u12527, tc_HOL_Obool), _u12526), _u12530)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12526, _u12527), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12526, _u12527), _u12528), hAPP(c_COMBK(tc_fun(_u12527, tc_HOL_Obool), _u12526), _u12530))), hAPP(hAPP(c_Product__Type_OSigma(_u12526, _u12527), _u12529), hAPP(c_COMBK(tc_fun(_u12527, tc_HOL_Obool), _u12526), _u12530)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__Un__distrib2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__Un__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12531, _u12532), _u12533), hAPP(hAPP(c_COMBS(_u12531, tc_fun(_u12532, tc_HOL_Obool), tc_fun(_u12532, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12532, tc_HOL_Obool), tc_fun(tc_fun(_u12532, tc_HOL_Obool), tc_fun(_u12532, tc_HOL_Obool)), _u12531), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12532, tc_HOL_Obool))), _u12534)), _u12535)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12531, _u12532), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12531, _u12532), _u12533), _u12534)), hAPP(hAPP(c_Product__Type_OSigma(_u12531, _u12532), _u12533), _u12535))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__comp__subset__Sigma ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__comp__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12536, _u12537), tc_HOL_Obool)), _u12538), hAPP(hAPP(c_Product__Type_OSigma(_u12536, _u12537), _u12539), hAPP(c_COMBK(tc_fun(_u12537, tc_HOL_Obool), _u12536), _u12540)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12537, _u12541), tc_HOL_Obool)), _u12542), hAPP(hAPP(c_Product__Type_OSigma(_u12537, _u12541), _u12540), hAPP(c_COMBK(tc_fun(_u12541, tc_HOL_Obool), _u12537), _u12543)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12536, _u12541), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12536, _u12537, _u12541), _u12538), _u12542)), hAPP(hAPP(c_Product__Type_OSigma(_u12536, _u12541), _u12539), hAPP(c_COMBK(tc_fun(_u12541, tc_HOL_Obool), _u12536), _u12543)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_swap__product ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_swap__product-1, axiom, ( ( hAPP(c_Set_Oimage(tc_prod(_u12544, _u12545), tc_prod(_u12545, _u12544), hAPP(c_Product__Type_Oprod_Oprod__case(_u12544, _u12545, tc_prod(_u12545, _u12544)), hAPP(c_COMBC(_u12545, _u12544, tc_prod(_u12545, _u12544)), c_Product__Type_OPair(_u12545, _u12544)))), hAPP(hAPP(c_Product__Type_OSigma(_u12544, _u12545), _u12546), hAPP(c_COMBK(tc_fun(_u12545, tc_HOL_Obool), _u12544), _u12547))) = hAPP(hAPP(c_Product__Type_OSigma(_u12545, _u12544), _u12547), hAPP(c_COMBK(tc_fun(_u12544, tc_HOL_Obool), _u12545), _u12546))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__cartesian__product ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__cartesian__product-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12548), _u12549)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12550), _u12551)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12548, _u12550)), hAPP(hAPP(c_Product__Type_OSigma(_u12548, _u12550), _u12549), hAPP(c_COMBK(tc_fun(_u12550, tc_HOL_Obool), _u12548), _u12551)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_equiv__type ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_equiv__type-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u12552, _u12553, _u12554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12552, _u12552), tc_HOL_Obool)), _u12554), hAPP(hAPP(c_Product__Type_OSigma(_u12552, _u12552), _u12553), hAPP(c_COMBK(tc_fun(_u12552, tc_HOL_Obool), _u12552), _u12553)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__Int__distrib2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__Int__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12555, _u12556), _u12557), hAPP(hAPP(c_COMBS(_u12555, tc_fun(_u12556, tc_HOL_Obool), tc_fun(_u12556, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12556, tc_HOL_Obool), tc_fun(tc_fun(_u12556, tc_HOL_Obool), tc_fun(_u12556, tc_HOL_Obool)), _u12555), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12556, tc_HOL_Obool))), _u12558)), _u12559)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12555, _u12556), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12555, _u12556), _u12557), _u12558)), hAPP(hAPP(c_Product__Type_OSigma(_u12555, _u12556), _u12557), _u12559))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Times__Int__distrib1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Times__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12560, _u12561), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12560, tc_HOL_Obool)), _u12562), _u12563)), hAPP(c_COMBK(tc_fun(_u12561, tc_HOL_Obool), _u12560), _u12564)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12560, _u12561), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12560, _u12561), _u12562), hAPP(c_COMBK(tc_fun(_u12561, tc_HOL_Obool), _u12560), _u12564))), hAPP(hAPP(c_Product__Type_OSigma(_u12560, _u12561), _u12563), hAPP(c_COMBK(tc_fun(_u12561, tc_HOL_Obool), _u12560), _u12564)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__Int__distrib1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__Int__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12565, _u12566), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12565, tc_HOL_Obool)), _u12567), _u12568)), _u12569) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12565, _u12566), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12565, _u12566), _u12567), _u12569)), hAPP(hAPP(c_Product__Type_OSigma(_u12565, _u12566), _u12568), _u12569))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Id__on__subset__Times ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Id__on__subset__Times-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12570, _u12570), tc_HOL_Obool)), c_Relation_OId__on(_u12570, _u12571)), hAPP(hAPP(c_Product__Type_OSigma(_u12570, _u12570), _u12571), hAPP(c_COMBK(tc_fun(_u12570, tc_HOL_Obool), _u12570), _u12571)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__Diff__distrib1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12573), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12572, tc_HOL_Obool)), _u12574), _u12575)), _u12576) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12572, _u12573), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12573), _u12574), _u12576)), hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12573), _u12575), _u12576))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Times__Diff__distrib1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Times__Diff__distrib1-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12577, _u12578), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12577, tc_HOL_Obool)), _u12579), _u12580)), hAPP(c_COMBK(tc_fun(_u12578, tc_HOL_Obool), _u12577), _u12581)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12577, _u12578), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12577, _u12578), _u12579), hAPP(c_COMBK(tc_fun(_u12578, tc_HOL_Obool), _u12577), _u12581))), hAPP(hAPP(c_Product__Type_OSigma(_u12577, _u12578), _u12580), hAPP(c_COMBK(tc_fun(_u12578, tc_HOL_Obool), _u12577), _u12581)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__Diff__distrib2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__Diff__distrib2-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12582, _u12583), _u12584), hAPP(hAPP(c_COMBS(_u12582, tc_fun(_u12583, tc_HOL_Obool), tc_fun(_u12583, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12583, tc_HOL_Obool), tc_fun(tc_fun(_u12583, tc_HOL_Obool), tc_fun(_u12583, tc_HOL_Obool)), _u12582), c_Groups_Ominus__class_Ominus(tc_fun(_u12583, tc_HOL_Obool))), _u12585)), _u12586)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12582, _u12583), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12582, _u12583), _u12584), _u12585)), hAPP(hAPP(c_Product__Type_OSigma(_u12582, _u12583), _u12584), _u12586))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_DomainP_Oequations ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_DomainP_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u12597, _u12599), skolem303(_u12599, _u12597))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u12593, _u12595, _u12597), _u12599)) )).
% 43.37/43.59 cnf(fact_DomainP_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u12598, _u12600), _u12588)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12594, _u12596, _u12598), _u12600)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UNIV__Times__UNIV ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UNIV__Times__UNIV-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12601, _u12602), c_Orderings_Otop__class_Otop(tc_fun(_u12601, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12602, tc_HOL_Obool), _u12601), c_Orderings_Otop__class_Otop(tc_fun(_u12602, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12601, _u12602), tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_SigmaE2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_SigmaE2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12603, _u12604)), hAPP(hAPP(c_Product__Type_OPair(_u12603, _u12604), _u12605), _u12606)), hAPP(hAPP(c_Product__Type_OSigma(_u12603, _u12604), _u12607), _u12608))) | hBOOL(hAPP(hAPP(c_member(_u12603), _u12605), _u12607)) )).
% 43.37/43.59 cnf(fact_SigmaE2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12603, _u12604)), hAPP(hAPP(c_Product__Type_OPair(_u12603, _u12604), _u12605), _u12606)), hAPP(hAPP(c_Product__Type_OSigma(_u12603, _u12604), _u12607), _u12608))) | hBOOL(hAPP(hAPP(c_member(_u12604), _u12606), hAPP(_u12608, _u12605))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_SigmaD2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_SigmaD2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u12610), _u12612), hAPP(_u12614, _u12611))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12609, _u12610)), hAPP(hAPP(c_Product__Type_OPair(_u12609, _u12610), _u12611), _u12612)), hAPP(hAPP(c_Product__Type_OSigma(_u12609, _u12610), _u12613), _u12614))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_SigmaD1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_SigmaD1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12615, _u12616)), hAPP(hAPP(c_Product__Type_OPair(_u12615, _u12616), _u12617), _u12618)), hAPP(hAPP(c_Product__Type_OSigma(_u12615, _u12616), _u12619), _u12620))) | hBOOL(hAPP(hAPP(c_member(_u12615), _u12617), _u12619)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_mem__Sigma__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_mem__Sigma__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12627, _u12629)), hAPP(hAPP(c_Product__Type_OPair(_u12627, _u12629), _u12631), _u12633)), hAPP(hAPP(c_Product__Type_OSigma(_u12627, _u12629), _u12635), _u12637))) | hBOOL(hAPP(hAPP(c_member(_u12627), _u12631), _u12635)) )).
% 43.37/43.59 cnf(fact_mem__Sigma__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12627, _u12629)), hAPP(hAPP(c_Product__Type_OPair(_u12627, _u12629), _u12631), _u12633)), hAPP(hAPP(c_Product__Type_OSigma(_u12627, _u12629), _u12635), _u12637))) | hBOOL(hAPP(hAPP(c_member(_u12629), _u12633), hAPP(_u12637, _u12631))) )).
% 43.37/43.59 cnf(fact_mem__Sigma__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12628), _u12632), _u12636)) | ~hBOOL(hAPP(hAPP(c_member(_u12630), _u12634), hAPP(_u12638, _u12632))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12628, _u12630)), hAPP(hAPP(c_Product__Type_OPair(_u12628, _u12630), _u12632), _u12634)), hAPP(hAPP(c_Product__Type_OSigma(_u12628, _u12630), _u12636), _u12638))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_card__cartesian__product__singleton ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_card__cartesian__product__singleton-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12639, _u12640)), hAPP(hAPP(c_Product__Type_OSigma(_u12639, _u12640), hAPP(hAPP(c_Set_Oinsert(_u12639), _u12641), c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12640, tc_HOL_Obool), _u12639), _u12642))) = hAPP(c_Finite__Set_Ocard(_u12640), _u12642)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Times__subset__cancel2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Times__subset__cancel2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12643), _u12644), _u12645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12646, _u12643), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12646, _u12643), _u12647), hAPP(c_COMBK(tc_fun(_u12643, tc_HOL_Obool), _u12646), _u12645))), hAPP(hAPP(c_Product__Type_OSigma(_u12646, _u12643), _u12648), hAPP(c_COMBK(tc_fun(_u12643, tc_HOL_Obool), _u12646), _u12645)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12646, tc_HOL_Obool)), _u12647), _u12648)) )).
% 43.37/43.59 cnf(fact_Times__subset__cancel2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u12643), _u12644), _u12645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12646, tc_HOL_Obool)), _u12647), _u12648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12646, _u12643), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12646, _u12643), _u12647), hAPP(c_COMBK(tc_fun(_u12643, tc_HOL_Obool), _u12646), _u12645))), hAPP(hAPP(c_Product__Type_OSigma(_u12646, _u12643), _u12648), hAPP(c_COMBK(tc_fun(_u12643, tc_HOL_Obool), _u12646), _u12645)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Image__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Image__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12649, _u12650), tc_HOL_Obool)), _u12651), hAPP(hAPP(c_Product__Type_OSigma(_u12649, _u12650), _u12652), hAPP(c_COMBK(tc_fun(_u12650, tc_HOL_Obool), _u12649), _u12653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12650, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12649, _u12650, _u12651), _u12654)), _u12653)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__cartesian__productD1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__cartesian__productD1-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12655, _u12656)), hAPP(hAPP(c_Product__Type_OSigma(_u12655, _u12656), _u12657), hAPP(c_COMBK(tc_fun(_u12656, tc_HOL_Obool), _u12655), _u12658)))) | ( _u12658 = c_Orderings_Obot__class_Obot(tc_fun(_u12656, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12655), _u12657)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__cartesian__productD2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__cartesian__productD2-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12659, _u12660)), hAPP(hAPP(c_Product__Type_OSigma(_u12659, _u12660), _u12661), hAPP(c_COMBK(tc_fun(_u12660, tc_HOL_Obool), _u12659), _u12662)))) | ( _u12661 = c_Orderings_Obot__class_Obot(tc_fun(_u12659, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12660), _u12662)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Collect__split ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Collect__split-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12663, _u12664)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12663, _u12664, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12663, tc_fun(_u12664, tc_HOL_Obool), tc_fun(_u12664, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12664, tc_HOL_Obool), tc_fun(_u12664, tc_HOL_Obool)), _u12663), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12664)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12663), c_fconj), _u12665))), _u12666))) = hAPP(hAPP(c_Product__Type_OSigma(_u12663, _u12664), hAPP(c_Set_OCollect(_u12663), _u12665)), hAPP(c_COMBK(tc_fun(_u12664, tc_HOL_Obool), _u12663), hAPP(c_Set_OCollect(_u12664), _u12666)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_SetCompr__Sigma__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_SetCompr__Sigma__eq-1, axiom, ( ( hAPP(c_Set_OCollect(tc_prod(_u12667, _u12668)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12667, _u12668, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12667, tc_fun(_u12668, tc_HOL_Obool), tc_fun(_u12668, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12668, tc_HOL_Obool), tc_fun(_u12668, tc_HOL_Obool)), _u12667), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12668)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12667), c_fconj), _u12669))), _u12670))) = hAPP(hAPP(c_Product__Type_OSigma(_u12667, _u12668), hAPP(c_Set_OCollect(_u12667), _u12669)), hAPP(hAPP(c_COMBB(tc_fun(_u12668, tc_HOL_Obool), tc_fun(_u12668, tc_HOL_Obool), _u12667), c_Set_OCollect(_u12668)), _u12670))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fst__image__times ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fst__image__times-1, axiom, ( ( _u12675 != c_Orderings_Obot__class_Obot(tc_fun(_u12677, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12679, _u12677), _u12679, c_Product__Type_Ofst(_u12679, _u12677)), hAPP(hAPP(c_Product__Type_OSigma(_u12679, _u12677), _u12681), hAPP(c_COMBK(tc_fun(_u12677, tc_HOL_Obool), _u12679), _u12675))) = c_Orderings_Obot__class_Obot(tc_fun(_u12679, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_fst__image__times-2, axiom, ( ( _u12676 = c_Orderings_Obot__class_Obot(tc_fun(_u12678, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12680, _u12678), _u12680, c_Product__Type_Ofst(_u12680, _u12678)), hAPP(hAPP(c_Product__Type_OSigma(_u12680, _u12678), _u12682), hAPP(c_COMBK(tc_fun(_u12678, tc_HOL_Obool), _u12680), _u12676))) = _u12682) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_snd__image__times ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_snd__image__times-1, axiom, ( ( _u12687 != c_Orderings_Obot__class_Obot(tc_fun(_u12689, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12689, _u12691), _u12691, c_Product__Type_Osnd(_u12689, _u12691)), hAPP(hAPP(c_Product__Type_OSigma(_u12689, _u12691), _u12687), hAPP(c_COMBK(tc_fun(_u12691, tc_HOL_Obool), _u12689), _u12693))) = c_Orderings_Obot__class_Obot(tc_fun(_u12691, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_snd__image__times-2, axiom, ( ( _u12688 = c_Orderings_Obot__class_Obot(tc_fun(_u12690, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12690, _u12692), _u12692, c_Product__Type_Osnd(_u12690, _u12692)), hAPP(hAPP(c_Product__Type_OSigma(_u12690, _u12692), _u12688), hAPP(c_COMBK(tc_fun(_u12692, tc_HOL_Obool), _u12690), _u12694))) = _u12694) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_insert__times__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_insert__times__insert-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12695, _u12696), hAPP(hAPP(c_Set_Oinsert(_u12695), _u12697), _u12698)), hAPP(c_COMBK(tc_fun(_u12696, tc_HOL_Obool), _u12695), hAPP(hAPP(c_Set_Oinsert(_u12696), _u12699), _u12700))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12695, _u12696)), hAPP(hAPP(c_Product__Type_OPair(_u12695, _u12696), _u12697), _u12699)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12695, _u12696), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12695, _u12696), _u12698), hAPP(c_COMBK(tc_fun(_u12696, tc_HOL_Obool), _u12695), hAPP(hAPP(c_Set_Oinsert(_u12696), _u12699), _u12700)))), hAPP(hAPP(c_Product__Type_OSigma(_u12695, _u12696), hAPP(hAPP(c_Set_Oinsert(_u12695), _u12697), _u12698)), hAPP(c_COMBK(tc_fun(_u12696, tc_HOL_Obool), _u12695), _u12700))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__equiv__class ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__equiv__class-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12701), _u12702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12703), hAPP(hAPP(c_Product__Type_OSigma(_u12701, _u12701), _u12702), hAPP(c_COMBK(tc_fun(_u12701, tc_HOL_Obool), _u12701), _u12702)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12701, tc_HOL_Obool)), _u12704), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12701), _u12702), _u12703))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12701), _u12704)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UN__Times__distrib ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UN__Times__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12705, _u12706), tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12705, _u12706), _u12709), hAPP(c_COMBK(tc_fun(_u12706, tc_HOL_Obool), _u12705), _u12710))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12705, _u12706, tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12705, tc_fun(_u12706, tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool))), tc_fun(_u12706, tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool)), tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool)), tc_fun(tc_fun(_u12706, tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool))), tc_fun(_u12706, tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool))), _u12705), c_COMBB(tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool)), tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool), _u12706)), hAPP(hAPP(c_COMBB(tc_fun(_u12707, tc_HOL_Obool), tc_fun(tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool)), tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool)), _u12705), c_Product__Type_OSigma(_u12707, _u12708)), _u12711))), hAPP(hAPP(c_COMBB(tc_fun(_u12708, tc_HOL_Obool), tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool)), _u12706), c_COMBK(tc_fun(_u12708, tc_HOL_Obool), _u12707)), _u12712)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12707, _u12708), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12705, tc_fun(_u12707, tc_HOL_Obool)), _u12709), _u12711)), hAPP(c_COMBK(tc_fun(_u12708, tc_HOL_Obool), _u12707), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12706, tc_fun(_u12708, tc_HOL_Obool)), _u12710), _u12712)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12713, _u12714), _u12715), _u12716) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12713, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), _u12715), hAPP(hAPP(c_COMBS(_u12713, tc_fun(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12714, tc_HOL_Obool), tc_fun(tc_fun(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), _u12713), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), _u12716)), hAPP(hAPP(c_COMBC(_u12713, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12714, tc_fun(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), _u12713), c_COMBC(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12714, tc_prod(_u12713, _u12714)), tc_fun(_u12714, tc_fun(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), _u12713), hAPP(c_COMBB(tc_prod(_u12713, _u12714), tc_fun(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), _u12714), c_Set_Oinsert(tc_prod(_u12713, _u12714)))), c_Product__Type_OPair(_u12713, _u12714)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__quotient ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__quotient-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12717), _u12718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12717, _u12717), tc_HOL_Obool)), _u12719), hAPP(hAPP(c_Product__Type_OSigma(_u12717, _u12717), _u12718), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12717), _u12718)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12717, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12717), _u12718), _u12719))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setsum__mult__setsum__if__inj ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setsum__mult__setsum__if__inj-1, axiom, ( ~class_Rings_Osemiring__0(_u12720) | ~c_Fun_Oinj__on(tc_prod(_u12721, _u12722), _u12720, hAPP(c_Product__Type_Oprod_Oprod__case(_u12721, _u12722, _u12720), hAPP(hAPP(c_COMBC(_u12721, tc_fun(_u12722, _u12720), tc_fun(_u12722, _u12720)), hAPP(hAPP(c_COMBB(tc_fun(_u12720, _u12720), tc_fun(tc_fun(_u12722, _u12720), tc_fun(_u12722, _u12720)), _u12721), c_COMBB(_u12720, _u12720, _u12722)), hAPP(hAPP(c_COMBB(_u12720, tc_fun(_u12720, _u12720), _u12721), c_Groups_Otimes__class_Otimes(_u12720)), _u12723))), _u12724)), hAPP(hAPP(c_Product__Type_OSigma(_u12721, _u12722), _u12725), hAPP(c_COMBK(tc_fun(_u12722, tc_HOL_Obool), _u12721), _u12726))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12720), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12721, _u12720), _u12723), _u12725)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12720), _u12724), _u12726)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12720, _u12720), c_Fun_Oid(_u12720)), hAPP(c_Set_OCollect(_u12720), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_HOL_Obool), tc_HOL_Obool, _u12720), c_HOL_OEx(_u12721)), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool)), tc_fun(_u12721, tc_HOL_Obool), _u12720), hAPP(c_COMBB(tc_fun(_u12722, tc_HOL_Obool), tc_HOL_Obool, _u12721), c_HOL_OEx(_u12722))), hAPP(hAPP(c_COMBC(_u12720, tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool)), tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_fun(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool))), tc_fun(tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool)), tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool))), _u12720), c_COMBS(_u12721, tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_fun(_u12722, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12721, tc_fun(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool))), _u12720), hAPP(c_COMBB(tc_fun(_u12722, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool)), _u12721), c_COMBS(_u12722, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool)), tc_fun(_u12721, tc_fun(_u12722, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12720), hAPP(c_COMBB(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12721), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12722), c_fconj))), hAPP(hAPP(c_COMBC(_u12720, tc_fun(_u12721, tc_fun(_u12722, _u12720)), tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12722, _u12720), tc_fun(_u12722, tc_HOL_Obool)), tc_fun(tc_fun(_u12721, tc_fun(_u12722, _u12720)), tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool))), _u12720), c_COMBB(tc_fun(_u12722, _u12720), tc_fun(_u12722, tc_HOL_Obool), _u12721)), hAPP(hAPP(c_COMBB(tc_fun(_u12720, tc_HOL_Obool), tc_fun(tc_fun(_u12722, _u12720), tc_fun(_u12722, tc_HOL_Obool)), _u12720), c_COMBB(_u12720, tc_HOL_Obool, _u12722)), c_fequal))), hAPP(hAPP(c_COMBC(_u12721, tc_fun(_u12722, _u12720), tc_fun(_u12722, _u12720)), hAPP(hAPP(c_COMBB(tc_fun(_u12720, _u12720), tc_fun(tc_fun(_u12722, _u12720), tc_fun(_u12722, _u12720)), _u12721), c_COMBB(_u12720, _u12720, _u12722)), hAPP(hAPP(c_COMBB(_u12720, tc_fun(_u12720, _u12720), _u12721), c_Groups_Otimes__class_Otimes(_u12720)), _u12723))), _u12724)))))), hAPP(hAPP(c_COMBC(_u12721, tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool)), _u12721), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12722)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12721), c_fconj), hAPP(hAPP(c_COMBC(_u12721, tc_fun(_u12721, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12721)), _u12725)))), hAPP(hAPP(c_COMBC(_u12722, tc_fun(_u12722, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12722)), _u12726)))))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Ex__inj__on__UNION__Sigma ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Ex__inj__on__UNION__Sigma-1, axiom, ( c_Fun_Oinj__on(_u12728, tc_prod(_u12729, _u12728), skolem304(_u12731, _u12730, _u12729, _u12728), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12729, tc_fun(_u12728, tc_HOL_Obool)), _u12730), _u12731)) )).
% 43.37/43.59 cnf(fact_Ex__inj__on__UNION__Sigma-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12729, _u12728), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12728, tc_prod(_u12729, _u12728), skolem304(_u12731, _u12730, _u12729, _u12728)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12729, tc_fun(_u12728, tc_HOL_Obool)), _u12730), _u12731))), hAPP(hAPP(c_Product__Type_OSigma(_u12729, _u12728), _u12730), _u12731))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold__image__Sigma ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold__image__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12735)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12733, _u12734, c_Groups_Otimes__class_Otimes(_u12733)), hAPP(hAPP(c_COMBS(_u12734, tc_fun(_u12736, tc_HOL_Obool), _u12733), hAPP(hAPP(c_COMBC(_u12734, _u12733, tc_fun(tc_fun(_u12736, tc_HOL_Obool), _u12733)), hAPP(hAPP(c_COMBB(tc_fun(_u12736, _u12733), tc_fun(_u12733, tc_fun(tc_fun(_u12736, tc_HOL_Obool), _u12733)), _u12734), c_Finite__Set_Ofold__image(_u12733, _u12736, c_Groups_Otimes__class_Otimes(_u12733))), _u12738)), c_Groups_Oone__class_Oone(_u12733))), _u12737)), c_Groups_Oone__class_Oone(_u12733)), _u12735) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12733, tc_prod(_u12734, _u12736), c_Groups_Otimes__class_Otimes(_u12733)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12734, _u12736, _u12733), _u12738)), c_Groups_Oone__class_Oone(_u12733)), hAPP(hAPP(c_Product__Type_OSigma(_u12734, _u12736), _u12735), _u12737))) | hBOOL(hAPP(hAPP(c_member(_u12734), skolem305(_u12738, _u12737, _u12736, _u12735, _u12734, _u12733)), _u12735)) )).
% 43.37/43.59 cnf(fact_fold__image__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12735)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12733, _u12734, c_Groups_Otimes__class_Otimes(_u12733)), hAPP(hAPP(c_COMBS(_u12734, tc_fun(_u12736, tc_HOL_Obool), _u12733), hAPP(hAPP(c_COMBC(_u12734, _u12733, tc_fun(tc_fun(_u12736, tc_HOL_Obool), _u12733)), hAPP(hAPP(c_COMBB(tc_fun(_u12736, _u12733), tc_fun(_u12733, tc_fun(tc_fun(_u12736, tc_HOL_Obool), _u12733)), _u12734), c_Finite__Set_Ofold__image(_u12733, _u12736, c_Groups_Otimes__class_Otimes(_u12733))), _u12738)), c_Groups_Oone__class_Oone(_u12733))), _u12737)), c_Groups_Oone__class_Oone(_u12733)), _u12735) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12733, tc_prod(_u12734, _u12736), c_Groups_Otimes__class_Otimes(_u12733)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12734, _u12736, _u12733), _u12738)), c_Groups_Oone__class_Oone(_u12733)), hAPP(hAPP(c_Product__Type_OSigma(_u12734, _u12736), _u12735), _u12737))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12736), hAPP(_u12737, skolem305(_u12738, _u12737, _u12736, _u12735, _u12734, _u12733)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_image__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_image__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u12739, _u12739, c_Fun_Oid(_u12739)), _u12740) = _u12740) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_apsnd__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_apsnd__id-1, axiom, ( ( c_Product__Type_Oapsnd(_u12741, _u12741, _u12742, c_Fun_Oid(_u12741)) = c_Fun_Oid(tc_prod(_u12742, _u12741))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_id__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_id__def-1, axiom, ( ( hAPP(c_Fun_Oid(_u12743), _u12744) = _u12744) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_vimage__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_vimage__id-1, axiom, ( ( hAPP(c_Set_Ovimage(_u12745, _u12745, c_Fun_Oid(_u12745)), _u12746) = _u12746) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_id__apply ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_id__apply-1, axiom, ( ( hAPP(c_Fun_Oid(_u12747), _u12748) = _u12748) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inj__on__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inj__on__id-1, axiom, ( c_Fun_Oinj__on(_u12749, _u12749, c_Fun_Oid(_u12749), _u12750) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_apfst__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_apfst__id-1, axiom, ( ( c_Product__Type_Oapfst(_u12751, _u12751, _u12752, c_Fun_Oid(_u12751)) = c_Fun_Oid(tc_prod(_u12751, _u12752))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_of__int__eq__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_of__int__eq__id-1, axiom, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_surj__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_surj__id-1, axiom, ( ( hAPP(c_Set_Oimage(_u12753, _u12753, c_Fun_Oid(_u12753)), c_Orderings_Otop__class_Otop(tc_fun(_u12753, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12753, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_split__Pair ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_split__Pair-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u12754, _u12755, tc_prod(_u12754, _u12755)), c_Product__Type_OPair(_u12754, _u12755)) = c_Fun_Oid(tc_prod(_u12754, _u12755))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setsum__reindex__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setsum__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12756) | ~c_Fun_Oinj__on(_u12757, _u12756, _u12758, _u12759) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12757, _u12756), _u12758), _u12759) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12756, _u12756), c_Fun_Oid(_u12756)), hAPP(c_Set_Oimage(_u12757, _u12756, _u12758), _u12759))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setprod__reindex__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setprod__reindex__id-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12760) | ~c_Fun_Oinj__on(_u12761, _u12760, _u12762, _u12763) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12761, _u12760), _u12762), _u12763) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12760, _u12760), c_Fun_Oid(_u12760)), hAPP(c_Set_Oimage(_u12761, _u12760, _u12762), _u12763))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setprod__Sigma ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setprod__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), _u12767)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12766, _u12765), hAPP(hAPP(c_COMBS(_u12766, tc_fun(_u12768, tc_HOL_Obool), _u12765), hAPP(hAPP(c_COMBB(tc_fun(_u12768, _u12765), tc_fun(tc_fun(_u12768, tc_HOL_Obool), _u12765), _u12766), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12768, _u12765)), _u12770)), _u12769)), _u12767) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12766, _u12768), _u12765), hAPP(c_Product__Type_Oprod_Oprod__case(_u12766, _u12768, _u12765), _u12770)), hAPP(hAPP(c_Product__Type_OSigma(_u12766, _u12768), _u12767), _u12769))) | hBOOL(hAPP(hAPP(c_member(_u12766), skolem306(_u12770, _u12769, _u12768, _u12767, _u12766, _u12765)), _u12767)) )).
% 43.37/43.59 cnf(fact_setprod__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u12765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), _u12767)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12766, _u12765), hAPP(hAPP(c_COMBS(_u12766, tc_fun(_u12768, tc_HOL_Obool), _u12765), hAPP(hAPP(c_COMBB(tc_fun(_u12768, _u12765), tc_fun(tc_fun(_u12768, tc_HOL_Obool), _u12765), _u12766), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12768, _u12765)), _u12770)), _u12769)), _u12767) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12766, _u12768), _u12765), hAPP(c_Product__Type_Oprod_Oprod__case(_u12766, _u12768, _u12765), _u12770)), hAPP(hAPP(c_Product__Type_OSigma(_u12766, _u12768), _u12767), _u12769))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12768), hAPP(_u12769, skolem306(_u12770, _u12769, _u12768, _u12767, _u12766, _u12765)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setsum__Sigma ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setsum__Sigma-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12773), _u12774)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12773, _u12772), hAPP(hAPP(c_COMBS(_u12773, tc_fun(_u12775, tc_HOL_Obool), _u12772), hAPP(hAPP(c_COMBB(tc_fun(_u12775, _u12772), tc_fun(tc_fun(_u12775, tc_HOL_Obool), _u12772), _u12773), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12775, _u12772)), _u12777)), _u12776)), _u12774) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12773, _u12775), _u12772), hAPP(c_Product__Type_Oprod_Oprod__case(_u12773, _u12775, _u12772), _u12777)), hAPP(hAPP(c_Product__Type_OSigma(_u12773, _u12775), _u12774), _u12776))) | hBOOL(hAPP(hAPP(c_member(_u12773), skolem307(_u12777, _u12776, _u12775, _u12774, _u12773, _u12772)), _u12774)) )).
% 43.37/43.59 cnf(fact_setsum__Sigma-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u12772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12773), _u12774)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12773, _u12772), hAPP(hAPP(c_COMBS(_u12773, tc_fun(_u12775, tc_HOL_Obool), _u12772), hAPP(hAPP(c_COMBB(tc_fun(_u12775, _u12772), tc_fun(tc_fun(_u12775, tc_HOL_Obool), _u12772), _u12773), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12775, _u12772)), _u12777)), _u12776)), _u12774) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12773, _u12775), _u12772), hAPP(c_Product__Type_Oprod_Oprod__case(_u12773, _u12775, _u12772), _u12777)), hAPP(hAPP(c_Product__Type_OSigma(_u12773, _u12775), _u12774), _u12776))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12775), hAPP(_u12776, skolem307(_u12777, _u12776, _u12775, _u12774, _u12773, _u12772)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_card__SigmaI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_card__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12779), _u12780)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12779, _u12781)), hAPP(hAPP(c_Product__Type_OSigma(_u12779, _u12781), _u12780), _u12782)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12781, tc_HOL_Obool), tc_Nat_Onat, _u12779), c_Finite__Set_Ocard(_u12781)), _u12782)), _u12780)) | hBOOL(hAPP(hAPP(c_member(_u12779), skolem308(_u12782, _u12781, _u12780, _u12779)), _u12780)) )).
% 43.37/43.59 cnf(fact_card__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12779), _u12780)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12779, _u12781)), hAPP(hAPP(c_Product__Type_OSigma(_u12779, _u12781), _u12780), _u12782)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12781, tc_HOL_Obool), tc_Nat_Onat, _u12779), c_Finite__Set_Ocard(_u12781)), _u12782)), _u12780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12781), hAPP(_u12782, skolem308(_u12782, _u12781, _u12780, _u12779)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__SigmaI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__SigmaI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12784), _u12785)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12784, _u12786)), hAPP(hAPP(c_Product__Type_OSigma(_u12784, _u12786), _u12785), _u12787))) | hBOOL(hAPP(hAPP(c_member(_u12784), skolem309(_u12787, _u12786, _u12785, _u12784)), _u12785)) )).
% 43.37/43.59 cnf(fact_finite__SigmaI-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12784), _u12785)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12784, _u12786)), hAPP(hAPP(c_Product__Type_OSigma(_u12784, _u12786), _u12785), _u12787))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(_u12787, skolem309(_u12787, _u12786, _u12785, _u12784)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_SigmaE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_SigmaE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12791)), _u12792), hAPP(hAPP(c_Product__Type_OSigma(_u12790, _u12791), _u12793), _u12794))) | hBOOL(hAPP(hAPP(c_member(_u12790), skolem310(_u12794, _u12793, _u12792, _u12791, _u12790)), _u12793)) )).
% 43.37/43.59 cnf(fact_SigmaE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12791)), _u12792), hAPP(hAPP(c_Product__Type_OSigma(_u12790, _u12791), _u12793), _u12794))) | hBOOL(hAPP(hAPP(c_member(_u12791), skolem311(_u12794, _u12793, _u12792, _u12791, _u12790)), hAPP(_u12794, skolem310(_u12794, _u12793, _u12792, _u12791, _u12790)))) )).
% 43.37/43.59 cnf(fact_SigmaE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12791)), _u12792), hAPP(hAPP(c_Product__Type_OSigma(_u12790, _u12791), _u12793), _u12794))) | ( _u12792 = hAPP(hAPP(c_Product__Type_OPair(_u12790, _u12791), skolem310(_u12794, _u12793, _u12792, _u12791, _u12790)), skolem311(_u12794, _u12793, _u12792, _u12791, _u12790))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair__surj ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u12795, _u12796, _u12797), c_Orderings_Otop__class_Otop(tc_fun(_u12795, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12796, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12798, _u12799, _u12800), c_Orderings_Otop__class_Otop(tc_fun(_u12798, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12799, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12795, _u12798), tc_prod(_u12796, _u12799), c_Product__Type_Omap__pair(_u12795, _u12796, _u12798, _u12799, _u12797, _u12800)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12795, _u12798), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12796, _u12799), tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair__imageI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair__imageI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12801, _u12802)), hAPP(hAPP(c_Product__Type_OPair(_u12801, _u12802), _u12803), _u12804)), _u12805)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12806, _u12807)), hAPP(hAPP(c_Product__Type_OPair(_u12806, _u12807), hAPP(_u12808, _u12803)), hAPP(_u12809, _u12804))), hAPP(c_Set_Oimage(tc_prod(_u12801, _u12802), tc_prod(_u12806, _u12807), c_Product__Type_Omap__pair(_u12801, _u12806, _u12802, _u12807, _u12808, _u12809)), _u12805))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair__simp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair__simp-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u12810, _u12811, _u12812, _u12813, _u12814, _u12815), hAPP(hAPP(c_Product__Type_OPair(_u12810, _u12812), _u12816), _u12817)) = hAPP(hAPP(c_Product__Type_OPair(_u12811, _u12813), hAPP(_u12814, _u12816)), hAPP(_u12815, _u12817))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair__ident ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair__ident-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u12818, _u12818, _u12819, _u12819, c_COMBI(_u12818), c_COMBI(_u12819)), _u12820) = _u12820) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_snd__prod__fun ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_snd__prod__fun-1, axiom, ( ( hAPP(c_Product__Type_Osnd(_u12821, _u12822), hAPP(c_Product__Type_Omap__pair(_u12823, _u12821, _u12824, _u12822, _u12825, _u12826), _u12827)) = hAPP(_u12826, hAPP(c_Product__Type_Osnd(_u12823, _u12824), _u12827))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fst__map__pair ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fst__map__pair-1, axiom, ( ( hAPP(c_Product__Type_Ofst(_u12828, _u12829), hAPP(c_Product__Type_Omap__pair(_u12830, _u12828, _u12831, _u12829, _u12832, _u12833), _u12834)) = hAPP(_u12832, hAPP(c_Product__Type_Ofst(_u12830, _u12831), _u12834))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair_Oidentity ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair_Oidentity-1, axiom, ( ( c_Product__Type_Omap__pair(_u12835, _u12835, _u12836, _u12836, c_COMBI(_u12835), c_COMBI(_u12836)) = c_Fun_Oid(tc_prod(_u12835, _u12836))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_apsnd__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_apsnd__def-1, axiom, ( ( c_Product__Type_Oapsnd(_u12837, _u12838, _u12839, _u12840) = c_Product__Type_Omap__pair(_u12839, _u12839, _u12837, _u12838, c_Fun_Oid(_u12839), _u12840)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_apfst__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_apfst__def-1, axiom, ( ( c_Product__Type_Oapfst(_u12841, _u12842, _u12843, _u12844) = c_Product__Type_Omap__pair(_u12841, _u12842, _u12843, _u12843, _u12844, c_Fun_Oid(_u12843))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair_Oid ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair_Oid-1, axiom, ( ( c_Product__Type_Omap__pair(_u12845, _u12845, _u12846, _u12846, c_Fun_Oid(_u12845), c_Fun_Oid(_u12846)) = c_Fun_Oid(tc_prod(_u12845, _u12846))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair__def-1, axiom, ( ( c_Product__Type_Omap__pair(_u12847, _u12848, _u12849, _u12850, _u12851, _u12852) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12847, _u12849, tc_prod(_u12848, _u12850)), hAPP(hAPP(c_COMBC(_u12847, tc_fun(_u12849, _u12850), tc_fun(_u12849, tc_prod(_u12848, _u12850))), hAPP(hAPP(c_COMBB(tc_fun(_u12850, tc_prod(_u12848, _u12850)), tc_fun(tc_fun(_u12849, _u12850), tc_fun(_u12849, tc_prod(_u12848, _u12850))), _u12847), c_COMBB(_u12850, tc_prod(_u12848, _u12850), _u12849)), hAPP(hAPP(c_COMBB(_u12848, tc_fun(_u12850, tc_prod(_u12848, _u12850)), _u12847), c_Product__Type_OPair(_u12848, _u12850)), _u12851))), _u12852))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair__surj__on ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair__surj__on-1, axiom, ( ( hAPP(c_Set_Oimage(_u12853, _u12854, _u12855), _u12856) != _u12857) | ( hAPP(c_Set_Oimage(_u12858, _u12859, _u12860), _u12861) != _u12862) | ( hAPP(c_Set_Oimage(tc_prod(_u12853, _u12858), tc_prod(_u12854, _u12859), c_Product__Type_Omap__pair(_u12853, _u12854, _u12858, _u12859, _u12855, _u12860)), hAPP(hAPP(c_Product__Type_OSigma(_u12853, _u12858), _u12856), hAPP(c_COMBK(tc_fun(_u12858, tc_HOL_Obool), _u12853), _u12861))) = hAPP(hAPP(c_Product__Type_OSigma(_u12854, _u12859), _u12857), hAPP(c_COMBK(tc_fun(_u12859, tc_HOL_Obool), _u12854), _u12862))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__map__pair__image ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__map__pair__image-1, axiom, ( ~c_Wellfounded_Owf(_u12863, _u12864) | ~c_Fun_Oinj__on(_u12863, _u12865, _u12866, c_Orderings_Otop__class_Otop(tc_fun(_u12863, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12865, hAPP(c_Set_Oimage(tc_prod(_u12863, _u12863), tc_prod(_u12865, _u12865), c_Product__Type_Omap__pair(_u12863, _u12865, _u12863, _u12865, _u12866, _u12866)), _u12864)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair__inj__on ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u12867, _u12868, _u12869, _u12870) | ~c_Fun_Oinj__on(_u12871, _u12872, _u12873, _u12874) | c_Fun_Oinj__on(tc_prod(_u12867, _u12871), tc_prod(_u12868, _u12872), c_Product__Type_Omap__pair(_u12867, _u12868, _u12871, _u12872, _u12869, _u12873), hAPP(hAPP(c_Product__Type_OSigma(_u12867, _u12871), _u12870), hAPP(c_COMBK(tc_fun(_u12871, tc_HOL_Obool), _u12867), _u12874))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_prod__fun__imageE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_prod__fun__imageE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12877, _u12878)), _u12879), hAPP(c_Set_Oimage(tc_prod(_u12880, _u12881), tc_prod(_u12877, _u12878), c_Product__Type_Omap__pair(_u12880, _u12877, _u12881, _u12878, _u12882, _u12883)), _u12884))) | ( _u12879 = hAPP(hAPP(c_Product__Type_OPair(_u12877, _u12878), hAPP(_u12882, skolem312(_u12884, _u12883, _u12882, _u12881, _u12880, _u12879, _u12878, _u12877))), hAPP(_u12883, skolem313(_u12884, _u12883, _u12882, _u12881, _u12880, _u12879, _u12878, _u12877)))) )).
% 43.37/43.59 cnf(fact_prod__fun__imageE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12877, _u12878)), _u12879), hAPP(c_Set_Oimage(tc_prod(_u12880, _u12881), tc_prod(_u12877, _u12878), c_Product__Type_Omap__pair(_u12880, _u12877, _u12881, _u12878, _u12882, _u12883)), _u12884))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12880, _u12881)), hAPP(hAPP(c_Product__Type_OPair(_u12880, _u12881), skolem312(_u12884, _u12883, _u12882, _u12881, _u12880, _u12879, _u12878, _u12877)), skolem313(_u12884, _u12883, _u12882, _u12881, _u12880, _u12879, _u12878, _u12877))), _u12884)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__on__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__on__def-1, axiom, ( ~c_Relation_Orefl__on(_u12890, _u12892, _u12894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12890, _u12890), tc_HOL_Obool)), _u12894), hAPP(hAPP(c_Product__Type_OSigma(_u12890, _u12890), _u12892), hAPP(c_COMBK(tc_fun(_u12890, tc_HOL_Obool), _u12890), _u12892)))) )).
% 43.37/43.59 cnf(fact_refl__on__def-2, axiom, ( ~c_Relation_Orefl__on(_u12890, _u12892, _u12894) | ~hBOOL(hAPP(hAPP(c_member(_u12890), _u12885), _u12892)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12890, _u12890)), hAPP(hAPP(c_Product__Type_OPair(_u12890, _u12890), _u12885), _u12885)), _u12894)) )).
% 43.37/43.59 cnf(fact_refl__on__def-3, axiom, ( c_Relation_Orefl__on(_u12891, _u12893, _u12895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12891, _u12891), tc_HOL_Obool)), _u12895), hAPP(hAPP(c_Product__Type_OSigma(_u12891, _u12891), _u12893), hAPP(c_COMBK(tc_fun(_u12891, tc_HOL_Obool), _u12891), _u12893)))) | hBOOL(hAPP(hAPP(c_member(_u12891), skolem314(_u12895, _u12893, _u12891)), _u12893)) )).
% 43.37/43.59 cnf(fact_refl__on__def-4, axiom, ( c_Relation_Orefl__on(_u12891, _u12893, _u12895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12891, _u12891), tc_HOL_Obool)), _u12895), hAPP(hAPP(c_Product__Type_OSigma(_u12891, _u12891), _u12893), hAPP(c_COMBK(tc_fun(_u12891, tc_HOL_Obool), _u12891), _u12893)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12891, _u12891)), hAPP(hAPP(c_Product__Type_OPair(_u12891, _u12891), skolem314(_u12895, _u12893, _u12891)), skolem314(_u12895, _u12893, _u12891))), _u12895)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wfP__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wfP__def-1, axiom, ( ~c_Wellfounded_OwfP(_u12898, _u12900) | c_Wellfounded_Owf(_u12898, hAPP(c_Set_OCollect(tc_prod(_u12898, _u12898)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12898, _u12898, tc_HOL_Obool), _u12900))) )).
% 43.37/43.59 cnf(fact_wfP__def-2, axiom, ( ~c_Wellfounded_Owf(_u12899, hAPP(c_Set_OCollect(tc_prod(_u12899, _u12899)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12899, _u12899, tc_HOL_Obool), _u12901))) | c_Wellfounded_OwfP(_u12899, _u12901) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wfP__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wfP__empty-1, axiom, ( c_Wellfounded_OwfP(_u12902, hAPP(c_COMBK(tc_fun(_u12902, tc_HOL_Obool), _u12902), hAPP(c_COMBK(tc_HOL_Obool, _u12902), c_fFalse))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__on__Id__on ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__on__Id__on-1, axiom, ( c_Relation_Orefl__on(_u12903, _u12904, c_Relation_OId__on(_u12903, _u12904)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wfP__accp__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wfP__accp__iff-1, axiom, ( ~c_Wellfounded_OwfP(_u12909, _u12911) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12909, _u12911), _u12905)) )).
% 43.37/43.59 cnf(fact_wfP__accp__iff-2, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12910, _u12912), skolem315(_u12912, _u12910))) | c_Wellfounded_OwfP(_u12910, _u12912) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_accp__wfPD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_accp__wfPD-1, axiom, ( ~c_Wellfounded_OwfP(_u12913, _u12914) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12913, _u12914), _u12915)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wfP__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wfP__subset-1, axiom, ( ~c_Wellfounded_OwfP(_u12916, _u12917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12916, tc_fun(_u12916, tc_HOL_Obool))), _u12918), _u12917)) | c_Wellfounded_OwfP(_u12916, _u12918) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__on__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__on__empty-1, axiom, ( c_Relation_Orefl__on(_u12919, c_Orderings_Obot__class_Obot(tc_fun(_u12919, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12919, _u12919), tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__on__Un ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__on__Un-1, axiom, ( ~c_Relation_Orefl__on(_u12920, _u12921, _u12922) | ~c_Relation_Orefl__on(_u12920, _u12923, _u12924) | c_Relation_Orefl__on(_u12920, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12920, tc_HOL_Obool)), _u12921), _u12923), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12920, _u12920), tc_HOL_Obool)), _u12922), _u12924)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__on__Int ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__on__Int-1, axiom, ( ~c_Relation_Orefl__on(_u12925, _u12926, _u12927) | ~c_Relation_Orefl__on(_u12925, _u12928, _u12929) | c_Relation_Orefl__on(_u12925, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12925, tc_HOL_Obool)), _u12926), _u12928), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12925, _u12925), tc_HOL_Obool)), _u12927), _u12929)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__onD2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__onD2-1, axiom, ( ~c_Relation_Orefl__on(_u12930, _u12931, _u12932) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12930, _u12930)), hAPP(hAPP(c_Product__Type_OPair(_u12930, _u12930), _u12933), _u12934)), _u12932)) | hBOOL(hAPP(hAPP(c_member(_u12930), _u12934), _u12931)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__onD1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__onD1-1, axiom, ( ~c_Relation_Orefl__on(_u12935, _u12936, _u12937) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12935, _u12935)), hAPP(hAPP(c_Product__Type_OPair(_u12935, _u12935), _u12938), _u12939)), _u12937)) | hBOOL(hAPP(hAPP(c_member(_u12935), _u12938), _u12936)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__onD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__onD-1, axiom, ( ~c_Relation_Orefl__on(_u12940, _u12941, _u12942) | ~hBOOL(hAPP(hAPP(c_member(_u12940), _u12943), _u12941)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12940, _u12940)), hAPP(hAPP(c_Product__Type_OPair(_u12940, _u12940), _u12943), _u12943)), _u12942)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__in__rel ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__in__rel-1, axiom, ( ~c_Wellfounded_Owf(_u12944, _u12945) | c_Wellfounded_OwfP(_u12944, c_FunDef_Oin__rel(_u12944, _u12944, _u12945)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wfP__wf__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wfP__wf__eq-1, axiom, ( ~c_Wellfounded_OwfP(_u12948, hAPP(hAPP(c_COMBC(_u12948, tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_fun(_u12948, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_fun(tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_fun(_u12948, tc_HOL_Obool)), _u12948), c_COMBC(_u12948, tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_prod(_u12948, _u12948)), tc_fun(_u12948, tc_fun(tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_HOL_Obool)), _u12948), hAPP(c_COMBB(tc_prod(_u12948, _u12948), tc_fun(tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_HOL_Obool), _u12948), c_member(tc_prod(_u12948, _u12948)))), c_Product__Type_OPair(_u12948, _u12948)))), _u12950)) | c_Wellfounded_Owf(_u12948, _u12950) )).
% 43.37/43.59 cnf(fact_wfP__wf__eq-2, axiom, ( ~c_Wellfounded_Owf(_u12949, _u12951) | c_Wellfounded_OwfP(_u12949, hAPP(hAPP(c_COMBC(_u12949, tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_fun(_u12949, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12949, tc_fun(tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_fun(_u12949, tc_HOL_Obool)), _u12949), c_COMBC(_u12949, tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12949, tc_prod(_u12949, _u12949)), tc_fun(_u12949, tc_fun(tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_HOL_Obool)), _u12949), hAPP(c_COMBB(tc_prod(_u12949, _u12949), tc_fun(tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_HOL_Obool), _u12949), c_member(tc_prod(_u12949, _u12949)))), c_Product__Type_OPair(_u12949, _u12949)))), _u12951)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_reflp__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_reflp__def-1, axiom, ( ~c_Predicate_Oreflp(_u12954, _u12956) | c_Relation_Orefl__on(_u12954, c_Orderings_Otop__class_Otop(tc_fun(_u12954, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12954, _u12954)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12954, _u12954, tc_HOL_Obool), _u12956))) )).
% 43.37/43.59 cnf(fact_reflp__def-2, axiom, ( ~c_Relation_Orefl__on(_u12955, c_Orderings_Otop__class_Otop(tc_fun(_u12955, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12955, _u12955)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12955, _u12955, tc_HOL_Obool), _u12957))) | c_Predicate_Oreflp(_u12955, _u12957) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__onI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__onI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12959, _u12959), tc_HOL_Obool)), _u12960), hAPP(hAPP(c_Product__Type_OSigma(_u12959, _u12959), _u12961), hAPP(c_COMBK(tc_fun(_u12959, tc_HOL_Obool), _u12959), _u12961)))) | c_Relation_Orefl__on(_u12959, _u12961, _u12960) | hBOOL(hAPP(hAPP(c_member(_u12959), skolem316(_u12961, _u12960, _u12959)), _u12961)) )).
% 43.37/43.59 cnf(fact_refl__onI-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12959, _u12959), tc_HOL_Obool)), _u12960), hAPP(hAPP(c_Product__Type_OSigma(_u12959, _u12959), _u12961), hAPP(c_COMBK(tc_fun(_u12959, tc_HOL_Obool), _u12959), _u12961)))) | c_Relation_Orefl__on(_u12959, _u12961, _u12960) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12959, _u12959)), hAPP(hAPP(c_Product__Type_OPair(_u12959, _u12959), skolem316(_u12961, _u12960, _u12959)), skolem316(_u12961, _u12960, _u12959))), _u12960)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wfP__acyclicP ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wfP__acyclicP-1, axiom, ( ~c_Wellfounded_OwfP(_u12962, _u12963) | c_Wellfounded_Oacyclic(_u12962, hAPP(c_Set_OCollect(tc_prod(_u12962, _u12962)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12962, _u12962, tc_HOL_Obool), _u12963))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__acyclic ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__acyclic-1, axiom, ( ~c_Wellfounded_Owf(_u12964, _u12965) | c_Wellfounded_Oacyclic(_u12964, _u12965) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_reflpE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_reflpE-1, axiom, ( hBOOL(hAPP(hAPP(_u12967, _u12968), _u12968)) | ~c_Predicate_Oreflp(_u12966, _u12967) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_acyclic__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_acyclic__subset-1, axiom, ( ~c_Wellfounded_Oacyclic(_u12969, _u12970) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12969, _u12969), tc_HOL_Obool)), _u12971), _u12970)) | c_Wellfounded_Oacyclic(_u12969, _u12971) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__acyclic__wf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__acyclic__wf-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12972, _u12972)), _u12973)) | ~c_Wellfounded_Oacyclic(_u12972, _u12973) | c_Wellfounded_Owf(_u12972, _u12973) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__iff__acyclic__if__finite ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__iff__acyclic__if__finite-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12974, _u12974)), _u12975)) | ~c_Wellfounded_Owf(_u12974, _u12975) | c_Wellfounded_Oacyclic(_u12974, _u12975) )).
% 43.37/43.59 cnf(fact_wf__iff__acyclic__if__finite-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12974, _u12974)), _u12975)) | ~c_Wellfounded_Oacyclic(_u12974, _u12975) | c_Wellfounded_Owf(_u12974, _u12975) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Owf_H__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Owf_H__def-1, axiom, ( ~c_Nitpick_Owf_H(_u12978, _u12980) | c_Wellfounded_Oacyclic(_u12978, _u12980) )).
% 43.37/43.59 cnf(fact_Nitpick_Owf_H__def-2, axiom, ( ~c_Nitpick_Owf_H(_u12978, _u12980) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12978, _u12978)), _u12980)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 43.37/43.59 cnf(fact_Nitpick_Owf_H__def-3, axiom, ( c_Nitpick_Owf_H(_u12979, _u12981) | ~c_Wellfounded_Oacyclic(_u12979, _u12981) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12979, _u12979)), _u12981)) )).
% 43.37/43.59 cnf(fact_Nitpick_Owf_H__def-4, axiom, ( c_Nitpick_Owf_H(_u12979, _u12981) | ~c_Wellfounded_Oacyclic(_u12979, _u12981) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Rep__Integ__induct ( axiom ) converted to clauses:
% 43.37/43.59 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)), _u12983), c_Int_OInteg)) | ~hBOOL(hAPP(_u12984, hAPP(c_Int_ORep__Integ, skolem317(_u12984, _u12983)))) | hBOOL(hAPP(_u12984, _u12983)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Rep__Integ__cases ( axiom ) converted to clauses:
% 43.37/43.59 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)), _u12986), c_Int_OInteg)) | ( _u12986 = hAPP(c_Int_ORep__Integ, skolem318(_u12986))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__on__def_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__on__def_H-1, axiom, ( ~c_Relation_Orefl__on(_u12994, _u12996, _u12998) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12994, _u12994)), _u12987), _u12998)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12994, _u12994, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12994, tc_fun(_u12994, tc_HOL_Obool), tc_fun(_u12994, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12994, tc_HOL_Obool), tc_fun(_u12994, tc_HOL_Obool)), _u12994), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12994)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12994), c_fconj), hAPP(hAPP(c_COMBC(_u12994, tc_fun(_u12994, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12994)), _u12996)))), hAPP(hAPP(c_COMBC(_u12994, tc_fun(_u12994, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12994)), _u12996))), _u12987)) )).
% 43.37/43.59 cnf(fact_refl__on__def_H-2, axiom, ( ~c_Relation_Orefl__on(_u12994, _u12996, _u12998) | ~hBOOL(hAPP(hAPP(c_member(_u12994), _u12988), _u12996)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12994, _u12994)), hAPP(hAPP(c_Product__Type_OPair(_u12994, _u12994), _u12988), _u12988)), _u12998)) )).
% 43.37/43.59 cnf(fact_refl__on__def_H-3, axiom, ( c_Relation_Orefl__on(_u12995, _u12997, _u12999) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12995, _u12995)), skolem319(_u12999, _u12997, _u12995)), _u12999)) | hBOOL(hAPP(hAPP(c_member(_u12995), skolem320(_u12999, _u12997, _u12995)), _u12997)) )).
% 43.37/43.59 cnf(fact_refl__on__def_H-4, axiom, ( c_Relation_Orefl__on(_u12995, _u12997, _u12999) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12995, _u12995)), skolem319(_u12999, _u12997, _u12995)), _u12999)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12995, _u12995)), hAPP(hAPP(c_Product__Type_OPair(_u12995, _u12995), skolem320(_u12999, _u12997, _u12995)), skolem320(_u12999, _u12997, _u12995))), _u12999)) )).
% 43.37/43.59 cnf(fact_refl__on__def_H-5, axiom, ( c_Relation_Orefl__on(_u12995, _u12997, _u12999) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12995, _u12995, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_fun(_u12995, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12995, tc_HOL_Obool), tc_fun(_u12995, tc_HOL_Obool)), _u12995), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12995)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12995), c_fconj), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12995)), _u12997)))), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12995)), _u12997))), skolem319(_u12999, _u12997, _u12995))) | hBOOL(hAPP(hAPP(c_member(_u12995), skolem320(_u12999, _u12997, _u12995)), _u12997)) )).
% 43.37/43.59 cnf(fact_refl__on__def_H-6, axiom, ( c_Relation_Orefl__on(_u12995, _u12997, _u12999) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12995, _u12995, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_fun(_u12995, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12995, tc_HOL_Obool), tc_fun(_u12995, tc_HOL_Obool)), _u12995), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12995)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12995), c_fconj), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12995)), _u12997)))), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12995)), _u12997))), skolem319(_u12999, _u12997, _u12995))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12995, _u12995)), hAPP(hAPP(c_Product__Type_OPair(_u12995, _u12995), skolem320(_u12999, _u12997, _u12995)), skolem320(_u12999, _u12997, _u12995))), _u12999)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Abs__Integ__induct ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Abs__Integ__induct-1, axiom, ( hBOOL(hAPP(_u13001, _u13002)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem321(_u13002, _u13001)), c_Int_OInteg)) )).
% 43.37/43.59 cnf(fact_Abs__Integ__induct-2, axiom, ( hBOOL(hAPP(_u13001, _u13002)) | ~hBOOL(hAPP(_u13001, hAPP(c_Int_OAbs__Integ, skolem321(_u13002, _u13001)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Abs__Integ__cases ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Abs__Integ__cases-1, axiom, ( ( _u13004 = hAPP(c_Int_OAbs__Integ, skolem322(_u13004))) )).
% 43.37/43.59 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)), skolem322(_u13004)), c_Int_OInteg)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_ball__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_ball__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13006), _u13005), c_Orderings_Obot__class_Obot(tc_fun(_u13006, tc_HOL_Obool)))) | hBOOL(hAPP(_u13007, _u13005)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Powp__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Powp__def-1, axiom, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13013, _u13015), _u13017)) | ~hBOOL(hAPP(hAPP(c_member(_u13013), _u13008), _u13017)) | hBOOL(hAPP(_u13015, _u13008)) )).
% 43.37/43.59 cnf(fact_Powp__def-2, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13014, _u13016), _u13018)) | hBOOL(hAPP(hAPP(c_member(_u13014), skolem323(_u13018, _u13016, _u13014)), _u13018)) )).
% 43.37/43.59 cnf(fact_Powp__def-3, axiom, ( hBOOL(hAPP(c_Predicate_OPowp(_u13014, _u13016), _u13018)) | ~hBOOL(hAPP(_u13016, skolem323(_u13018, _u13016, _u13014))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_congruent__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_congruent__def-1, axiom, ( ~c_Equiv__Relations_Ocongruent(_u13025, _u13027, _u13029, _u13031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13025, _u13025)), _u13019), _u13029)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13025, _u13025, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13025, tc_fun(_u13025, _u13027), tc_fun(_u13025, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13027, tc_HOL_Obool), tc_fun(tc_fun(_u13025, _u13027), tc_fun(_u13025, tc_HOL_Obool)), _u13025), c_COMBB(_u13027, tc_HOL_Obool, _u13025)), hAPP(hAPP(c_COMBB(_u13027, tc_fun(_u13027, tc_HOL_Obool), _u13025), c_fequal), _u13031))), _u13031)), _u13019)) )).
% 43.37/43.59 cnf(fact_congruent__def-2, axiom, ( c_Equiv__Relations_Ocongruent(_u13026, _u13028, _u13030, _u13032) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13026, _u13026)), skolem324(_u13032, _u13030, _u13028, _u13026)), _u13030)) )).
% 43.37/43.59 cnf(fact_congruent__def-3, axiom, ( c_Equiv__Relations_Ocongruent(_u13026, _u13028, _u13030, _u13032) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13026, _u13026, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13026, tc_fun(_u13026, _u13028), tc_fun(_u13026, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13028, tc_HOL_Obool), tc_fun(tc_fun(_u13026, _u13028), tc_fun(_u13026, tc_HOL_Obool)), _u13026), c_COMBB(_u13028, tc_HOL_Obool, _u13026)), hAPP(hAPP(c_COMBB(_u13028, tc_fun(_u13028, tc_HOL_Obool), _u13026), c_fequal), _u13032))), _u13032)), skolem324(_u13032, _u13030, _u13028, _u13026))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wfP__SUP ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wfP__SUP-1, axiom, ( ~c_Wellfounded_OwfP(_u13036, hAPP(_u13037, skolem325(_u13038, _u13037, _u13036))) | c_Wellfounded_OwfP(_u13036, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13038, tc_fun(_u13036, tc_fun(_u13036, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13038, tc_HOL_Obool))), _u13037)) | ( hAPP(_u13037, skolem326(_u13038, _u13037, _u13036)) != hAPP(_u13037, skolem327(_u13038, _u13037, _u13036))) )).
% 43.37/43.59 cnf(fact_wfP__SUP-2, axiom, ( ~c_Wellfounded_OwfP(_u13036, hAPP(_u13037, skolem325(_u13038, _u13037, _u13036))) | c_Wellfounded_OwfP(_u13036, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13038, tc_fun(_u13036, tc_fun(_u13036, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13038, tc_HOL_Obool))), _u13037)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13036, tc_HOL_Obool)), c_Predicate_ODomainP(_u13036, _u13036, hAPP(_u13037, skolem326(_u13038, _u13037, _u13036)))), c_Predicate_ORangeP(_u13036, _u13036, hAPP(_u13037, skolem327(_u13038, _u13037, _u13036)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13036, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_mem__splitE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_mem__splitE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13041), _u13042), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13043, _u13044, tc_fun(_u13041, tc_HOL_Obool)), _u13045), _u13046))) | ( _u13046 = hAPP(hAPP(c_Product__Type_OPair(_u13043, _u13044), skolem328(_u13046, _u13045, _u13044, _u13043, _u13042, _u13041)), skolem329(_u13046, _u13045, _u13044, _u13043, _u13042, _u13041))) )).
% 43.37/43.59 cnf(fact_mem__splitE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13041), _u13042), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13043, _u13044, tc_fun(_u13041, tc_HOL_Obool)), _u13045), _u13046))) | hBOOL(hAPP(hAPP(c_member(_u13041), _u13042), hAPP(hAPP(_u13045, skolem328(_u13046, _u13045, _u13044, _u13043, _u13042, _u13041)), skolem329(_u13046, _u13045, _u13044, _u13043, _u13042, _u13041)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_mem__splitI2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_mem__splitI2-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13052), _u13053), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13050, _u13051, tc_fun(_u13052, tc_HOL_Obool)), _u13054), _u13049))) | ( _u13049 = hAPP(hAPP(c_Product__Type_OPair(_u13050, _u13051), skolem330(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)), skolem331(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049))) )).
% 43.37/43.59 cnf(fact_mem__splitI2-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13052), _u13053), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13050, _u13051, tc_fun(_u13052, tc_HOL_Obool)), _u13054), _u13049))) | ~hBOOL(hAPP(hAPP(c_member(_u13052), _u13053), hAPP(hAPP(_u13054, skolem330(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)), skolem331(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_triples__valid__Suc ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_triples__valid__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13057)), _u13056), _u13058)) | c_Hoare__Mirabelle_Otriple__valid(_u13057, _u13059, _u13056) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13057)), skolem332(_u13059, _u13058, _u13057)), _u13058)) )).
% 43.37/43.59 cnf(fact_triples__valid__Suc-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13057)), _u13056), _u13058)) | c_Hoare__Mirabelle_Otriple__valid(_u13057, _u13059, _u13056) | ~c_Hoare__Mirabelle_Otriple__valid(_u13057, hAPP(c_Nat_OSuc, _u13059), skolem332(_u13059, _u13058, _u13057)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_hoare__valids__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_hoare__valids__def-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u13069, _u13071, _u13073) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13069)), _u13061), _u13073)) | c_Hoare__Mirabelle_Otriple__valid(_u13069, _u13062, _u13061) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13069)), skolem333(_u13073, _u13071, _u13069, _u13062)), _u13071)) )).
% 43.37/43.59 cnf(fact_hoare__valids__def-2, axiom, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u13069, _u13071, _u13073) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13069)), _u13061), _u13073)) | c_Hoare__Mirabelle_Otriple__valid(_u13069, _u13062, _u13061) | ~c_Hoare__Mirabelle_Otriple__valid(_u13069, _u13062, skolem333(_u13073, _u13071, _u13069, _u13062)) )).
% 43.37/43.59 cnf(fact_hoare__valids__def-3, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u13070, _u13072, _u13074) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13070)), _u13063), _u13072)) | c_Hoare__Mirabelle_Otriple__valid(_u13070, skolem334(_u13074, _u13072, _u13070), _u13063) )).
% 43.37/43.59 cnf(fact_hoare__valids__def-4, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u13070, _u13072, _u13074) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13070)), skolem335(_u13074, _u13072, _u13070)), _u13074)) )).
% 43.37/43.59 cnf(fact_hoare__valids__def-5, axiom, ( c_Hoare__Mirabelle_Ohoare__valids(_u13070, _u13072, _u13074) | ~c_Hoare__Mirabelle_Otriple__valid(_u13070, skolem334(_u13074, _u13072, _u13070), skolem335(_u13074, _u13072, _u13070)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_vimage__Times ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_vimage__Times-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13075, tc_prod(_u13076, _u13077), _u13078), hAPP(hAPP(c_Product__Type_OSigma(_u13076, _u13077), _u13079), hAPP(c_COMBK(tc_fun(_u13077, tc_HOL_Obool), _u13076), _u13080))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13075, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13075, _u13076, hAPP(c_Fun_Ocomp(tc_prod(_u13076, _u13077), _u13076, _u13075, c_Product__Type_Ofst(_u13076, _u13077)), _u13078)), _u13079)), hAPP(c_Set_Ovimage(_u13075, _u13077, hAPP(c_Fun_Ocomp(tc_prod(_u13076, _u13077), _u13077, _u13075, c_Product__Type_Osnd(_u13076, _u13077)), _u13078)), _u13080))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Eps__split ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Eps__split-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13081, _u13082), hAPP(c_Product__Type_Oprod_Oprod__case(_u13081, _u13082, tc_HOL_Obool), _u13083)) = c_Hilbert__Choice_OEps(tc_prod(_u13081, _u13082), hAPP(hAPP(c_COMBS(tc_prod(_u13081, _u13082), _u13082, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13081, tc_fun(_u13082, tc_HOL_Obool), tc_prod(_u13081, _u13082)), _u13083), c_Product__Type_Ofst(_u13081, _u13082))), c_Product__Type_Osnd(_u13081, _u13082)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_id__o ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_id__o-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13084, _u13084, _u13085, c_Fun_Oid(_u13084)), _u13086) = _u13086) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_o__id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_o__id-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13087, _u13088, _u13087, _u13089), c_Fun_Oid(_u13087)) = _u13089) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_o__eq__id__dest ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_o__eq__id__dest-1, axiom, ( ( hAPP(_u13093, hAPP(_u13094, _u13096)) = hAPP(_u13095, _u13096)) | ( hAPP(c_Fun_Ocomp(_u13090, _u13091, _u13092, _u13093), _u13094) != hAPP(c_Fun_Ocomp(_u13091, _u13091, _u13092, c_Fun_Oid(_u13091)), _u13095)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_apsnd__compose ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_apsnd__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapsnd(_u13097, _u13098, _u13099, _u13100), hAPP(c_Product__Type_Oapsnd(_u13101, _u13097, _u13099, _u13102), _u13103)) = hAPP(c_Product__Type_Oapsnd(_u13101, _u13098, _u13099, hAPP(c_Fun_Ocomp(_u13097, _u13098, _u13101, _u13100), _u13102)), _u13103)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_K__record__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_K__record__comp-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13104, _u13105, _u13106, hAPP(c_COMBK(_u13105, _u13104), _u13107)), _u13108), _u13109) = _u13107) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_someI__ex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_someI__ex-1, axiom, ( ~hBOOL(hAPP(_u13111, _u13110)) | hBOOL(hAPP(_u13111, c_Hilbert__Choice_OEps(_u13112, _u13111))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_some__eq__ex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_some__eq__ex-1, axiom, ( ~hBOOL(hAPP(_u13117, c_Hilbert__Choice_OEps(_u13119, _u13117))) | hBOOL(hAPP(_u13117, skolem336(_u13119, _u13117))) )).
% 43.37/43.59 cnf(fact_some__eq__ex-2, axiom, ( ~hBOOL(hAPP(_u13118, _u13114)) | hBOOL(hAPP(_u13118, c_Hilbert__Choice_OEps(_u13120, _u13118))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_some__eq__trivial ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_some__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13121, hAPP(hAPP(c_COMBC(_u13121, _u13121, tc_HOL_Obool), c_fequal), _u13122)) = _u13122) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_some__sym__eq__trivial ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_some__sym__eq__trivial-1, axiom, ( ( c_Hilbert__Choice_OEps(_u13123, hAPP(c_fequal, _u13124)) = _u13124) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_o__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_o__def-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13125, _u13126, _u13127, _u13128), _u13129), _u13130) = hAPP(_u13128, hAPP(_u13129, _u13130))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__upd__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__upd__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13131, _u13132, _u13133, _u13134), c_Fun_Ofun__upd(_u13133, _u13131, _u13135, _u13136, _u13137)) = c_Fun_Ofun__upd(_u13133, _u13132, hAPP(c_Fun_Ocomp(_u13131, _u13132, _u13133, _u13134), _u13135), _u13136, hAPP(_u13134, _u13137))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_vimage__compose ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_vimage__compose-1, axiom, ( ( hAPP(c_Set_Ovimage(_u13138, _u13139, hAPP(c_Fun_Ocomp(_u13140, _u13139, _u13138, _u13141), _u13142)), _u13143) = hAPP(c_Set_Ovimage(_u13138, _u13140, _u13142), hAPP(c_Set_Ovimage(_u13140, _u13139, _u13141), _u13143))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_comp__cong ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_comp__cong-1, axiom, ( ( hAPP(_u13144, hAPP(_u13145, _u13146)) != hAPP(_u13147, hAPP(_u13148, _u13149))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13150, _u13151, _u13152, _u13144), _u13145), _u13146) = hAPP(hAPP(c_Fun_Ocomp(_u13153, _u13151, _u13154, _u13147), _u13148), _u13149)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_o__assoc ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_o__assoc-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13155, _u13156, _u13157, _u13158), hAPP(c_Fun_Ocomp(_u13159, _u13155, _u13157, _u13160), _u13161)) = hAPP(c_Fun_Ocomp(_u13159, _u13156, _u13157, hAPP(c_Fun_Ocomp(_u13155, _u13156, _u13159, _u13158), _u13160)), _u13161)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_o__apply ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_o__apply-1, axiom, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13162, _u13163, _u13164, _u13165), _u13166), _u13167) = hAPP(_u13165, hAPP(_u13166, _u13167))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_o__eq__dest ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_o__eq__dest-1, axiom, ( ( hAPP(_u13171, hAPP(_u13172, _u13176)) = hAPP(_u13174, hAPP(_u13175, _u13176))) | ( hAPP(c_Fun_Ocomp(_u13168, _u13169, _u13170, _u13171), _u13172) != hAPP(c_Fun_Ocomp(_u13173, _u13169, _u13170, _u13174), _u13175)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_o__eq__elim ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_o__eq__elim-1, axiom, ( ( hAPP(_u13181, hAPP(_u13182, _u13177)) = hAPP(_u13184, hAPP(_u13185, _u13177))) | ( hAPP(c_Fun_Ocomp(_u13178, _u13179, _u13180, _u13181), _u13182) != hAPP(c_Fun_Ocomp(_u13183, _u13179, _u13180, _u13184), _u13185)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_tfl__some ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_tfl__some-1, axiom, ( ~hBOOL(hAPP(_u13187, _u13186)) | hBOOL(hAPP(_u13187, c_Hilbert__Choice_OEps(_u13188, _u13187))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_someI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_someI-1, axiom, ( ~hBOOL(hAPP(_u13189, _u13190)) | hBOOL(hAPP(_u13189, c_Hilbert__Choice_OEps(_u13191, _u13189))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_o__eq__dest__lhs ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_o__eq__dest__lhs-1, axiom, ( ( hAPP(_u13195, hAPP(_u13196, _u13198)) = hAPP(_u13197, _u13198)) | ( hAPP(c_Fun_Ocomp(_u13192, _u13193, _u13194, _u13195), _u13196) != _u13197) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm__idem_Ofun__comp__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm__idem_Ofun__comp__idem-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13200, _u13200, _u13200, hAPP(_u13201, _u13202)), hAPP(_u13201, _u13202)) = hAPP(_u13201, _u13202)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13199, _u13200, _u13201) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_exE__some ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_exE__some-1, axiom, ( ~hBOOL(hAPP(_u13204, _u13203)) | ( _u13205 != c_Hilbert__Choice_OEps(_u13206, _u13204)) | hBOOL(hAPP(_u13204, _u13205)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_apfst__compose ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_apfst__compose-1, axiom, ( ( hAPP(c_Product__Type_Oapfst(_u13207, _u13208, _u13209, _u13210), hAPP(c_Product__Type_Oapfst(_u13211, _u13207, _u13209, _u13212), _u13213)) = hAPP(c_Product__Type_Oapfst(_u13211, _u13208, _u13209, hAPP(c_Fun_Ocomp(_u13207, _u13208, _u13211, _u13210), _u13212)), _u13213)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inj__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inj__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13214, _u13215, _u13216, c_Orderings_Otop__class_Otop(tc_fun(_u13214, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13217, _u13214, _u13218, c_Orderings_Otop__class_Otop(tc_fun(_u13217, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13217, _u13215, hAPP(c_Fun_Ocomp(_u13214, _u13215, _u13217, _u13216), _u13218), c_Orderings_Otop__class_Otop(tc_fun(_u13217, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inj__on__imageI2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inj__on__imageI2-1, axiom, ( ~c_Fun_Oinj__on(_u13219, _u13220, hAPP(c_Fun_Ocomp(_u13221, _u13220, _u13219, _u13222), _u13223), _u13224) | c_Fun_Oinj__on(_u13219, _u13221, _u13223, _u13224) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_image__compose ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_image__compose-1, axiom, ( ( hAPP(c_Set_Oimage(_u13225, _u13226, hAPP(c_Fun_Ocomp(_u13227, _u13226, _u13225, _u13228), _u13229)), _u13230) = hAPP(c_Set_Oimage(_u13227, _u13226, _u13228), hAPP(c_Set_Oimage(_u13225, _u13227, _u13229), _u13230))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_comp__surj ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_comp__surj-1, axiom, ( ( hAPP(c_Set_Oimage(_u13231, _u13232, _u13233), c_Orderings_Otop__class_Otop(tc_fun(_u13231, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13232, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13232, _u13234, _u13235), c_Orderings_Otop__class_Otop(tc_fun(_u13232, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13234, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13231, _u13234, hAPP(c_Fun_Ocomp(_u13232, _u13234, _u13231, _u13235), _u13233)), c_Orderings_Otop__class_Otop(tc_fun(_u13231, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13234, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_comp__inj__on__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_comp__inj__on__iff-1, axiom, ( ~c_Fun_Oinj__on(_u13236, _u13237, _u13238, _u13239) | ~c_Fun_Oinj__on(_u13237, _u13240, _u13241, hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), _u13239)) | c_Fun_Oinj__on(_u13236, _u13240, hAPP(c_Fun_Ocomp(_u13237, _u13240, _u13236, _u13241), _u13238), _u13239) )).
% 43.37/43.59 cnf(fact_comp__inj__on__iff-2, axiom, ( ~c_Fun_Oinj__on(_u13236, _u13237, _u13238, _u13239) | ~c_Fun_Oinj__on(_u13236, _u13240, hAPP(c_Fun_Ocomp(_u13237, _u13240, _u13236, _u13241), _u13238), _u13239) | c_Fun_Oinj__on(_u13237, _u13240, _u13241, hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), _u13239)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_comp__inj__on ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_comp__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u13242, _u13243, _u13244, _u13245) | ~c_Fun_Oinj__on(_u13243, _u13246, _u13247, hAPP(c_Set_Oimage(_u13242, _u13243, _u13244), _u13245)) | c_Fun_Oinj__on(_u13242, _u13246, hAPP(c_Fun_Ocomp(_u13243, _u13246, _u13242, _u13247), _u13244), _u13245) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inj__on__imageI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inj__on__imageI-1, axiom, ( ~c_Fun_Oinj__on(_u13248, _u13249, hAPP(c_Fun_Ocomp(_u13250, _u13249, _u13248, _u13251), _u13252), _u13253) | c_Fun_Oinj__on(_u13250, _u13249, _u13251, hAPP(c_Set_Oimage(_u13248, _u13250, _u13252), _u13253)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair_Ocompositionality ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair_Ocompositionality-1, axiom, ( ( hAPP(c_Product__Type_Omap__pair(_u13254, _u13255, _u13256, _u13257, _u13258, _u13259), hAPP(c_Product__Type_Omap__pair(_u13260, _u13254, _u13261, _u13256, _u13262, _u13263), _u13264)) = hAPP(c_Product__Type_Omap__pair(_u13260, _u13255, _u13261, _u13257, hAPP(c_Fun_Ocomp(_u13254, _u13255, _u13260, _u13258), _u13262), hAPP(c_Fun_Ocomp(_u13256, _u13257, _u13261, _u13259), _u13263)), _u13264)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair__compose ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair__compose-1, axiom, ( ( c_Product__Type_Omap__pair(_u13265, _u13266, _u13267, _u13268, hAPP(c_Fun_Ocomp(_u13269, _u13266, _u13265, _u13270), _u13271), hAPP(c_Fun_Ocomp(_u13272, _u13268, _u13267, _u13273), _u13274)) = hAPP(c_Fun_Ocomp(tc_prod(_u13269, _u13272), tc_prod(_u13266, _u13268), tc_prod(_u13265, _u13267), c_Product__Type_Omap__pair(_u13269, _u13266, _u13272, _u13268, _u13270, _u13273)), c_Product__Type_Omap__pair(_u13265, _u13269, _u13267, _u13272, _u13271, _u13274))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_map__pair_Ocomp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_map__pair_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13275, _u13276), tc_prod(_u13277, _u13278), tc_prod(_u13279, _u13280), c_Product__Type_Omap__pair(_u13275, _u13277, _u13276, _u13278, _u13281, _u13282)), c_Product__Type_Omap__pair(_u13279, _u13275, _u13280, _u13276, _u13283, _u13284)) = c_Product__Type_Omap__pair(_u13279, _u13277, _u13280, _u13278, hAPP(c_Fun_Ocomp(_u13275, _u13277, _u13279, _u13281), _u13283), hAPP(c_Fun_Ocomp(_u13276, _u13278, _u13280, _u13282), _u13284))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setsum__reindex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setsum__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13285) | ~c_Fun_Oinj__on(_u13286, _u13287, _u13288, _u13289) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13287, _u13285), _u13290), hAPP(c_Set_Oimage(_u13286, _u13287, _u13288), _u13289)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13286, _u13285), hAPP(c_Fun_Ocomp(_u13287, _u13285, _u13286, _u13290), _u13288)), _u13289)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setprod__reindex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setprod__reindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13291) | ~c_Fun_Oinj__on(_u13292, _u13293, _u13294, _u13295) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13293, _u13291), _u13296), hAPP(c_Set_Oimage(_u13292, _u13293, _u13294), _u13295)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13292, _u13291), hAPP(c_Fun_Ocomp(_u13293, _u13291, _u13292, _u13296), _u13294)), _u13295)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setprod__reindex__cong ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13297) | ~c_Fun_Oinj__on(_u13298, _u13299, _u13300, _u13301) | ( _u13302 != hAPP(c_Set_Oimage(_u13298, _u13299, _u13300), _u13301)) | ( _u13303 != hAPP(c_Fun_Ocomp(_u13299, _u13297, _u13298, _u13304), _u13300)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13299, _u13297), _u13304), _u13302) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13298, _u13297), _u13303), _u13301)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Eps__split__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Eps__split__eq-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13305, _u13306), hAPP(c_Product__Type_Oprod_Oprod__case(_u13305, _u13306, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13305, tc_fun(_u13306, tc_HOL_Obool), tc_fun(_u13306, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13306, tc_HOL_Obool), tc_fun(_u13306, tc_HOL_Obool)), _u13305), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13306)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13305), c_fconj), hAPP(c_fequal, _u13307)))), hAPP(c_fequal, _u13308)))) = hAPP(hAPP(c_Product__Type_OPair(_u13305, _u13306), _u13307), _u13308)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_split__paired__Eps ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_split__paired__Eps-1, axiom, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13309, _u13310), _u13311) = c_Hilbert__Choice_OEps(tc_prod(_u13309, _u13310), hAPP(c_Product__Type_Oprod_Oprod__case(_u13309, _u13310, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13310, tc_prod(_u13309, _u13310)), tc_fun(_u13310, tc_HOL_Obool), _u13309), hAPP(c_COMBB(tc_prod(_u13309, _u13310), tc_HOL_Obool, _u13310), _u13311)), c_Product__Type_OPair(_u13309, _u13310))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setsum_Oreindex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setsum_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13313), _u13314)) | ~c_Fun_Oinj__on(_u13313, _u13313, _u13315, _u13314) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13313, _u13312), _u13316), hAPP(c_Set_Oimage(_u13313, _u13313, _u13315), _u13314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13313, _u13312), hAPP(c_Fun_Ocomp(_u13313, _u13312, _u13313, _u13316), _u13315)), _u13314)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setprod_Oreindex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setprod_Oreindex-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13317) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13318), _u13319)) | ~c_Fun_Oinj__on(_u13318, _u13318, _u13320, _u13319) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13318, _u13317), _u13321), hAPP(c_Set_Oimage(_u13318, _u13318, _u13320), _u13319)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13318, _u13317), hAPP(c_Fun_Ocomp(_u13318, _u13317, _u13318, _u13321), _u13320)), _u13319)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_the__inv__into__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_the__inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u13322, _u13323, _u13324, hAPP(c_Set_Oimage(_u13325, _u13322, _u13326), _u13327)) | ~c_Fun_Oinj__on(_u13325, _u13322, _u13326, _u13327) | ~hBOOL(hAPP(hAPP(c_member(_u13323), _u13328), hAPP(c_Set_Oimage(_u13322, _u13323, _u13324), hAPP(c_Set_Oimage(_u13325, _u13322, _u13326), _u13327)))) | ( hAPP(c_Fun_Othe__inv__into(_u13325, _u13323, _u13327, hAPP(c_Fun_Ocomp(_u13322, _u13323, _u13325, _u13324), _u13326)), _u13328) = hAPP(hAPP(c_Fun_Ocomp(_u13322, _u13325, _u13323, c_Fun_Othe__inv__into(_u13325, _u13322, _u13327, _u13326)), c_Fun_Othe__inv__into(_u13322, _u13323, hAPP(c_Set_Oimage(_u13325, _u13322, _u13326), _u13327), _u13324)), _u13328)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold__image__reindex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold__image__reindex-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u13329) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13330), _u13331)) | ~c_Fun_Oinj__on(_u13330, _u13332, _u13333, _u13331) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13329, _u13332, c_Groups_Otimes__class_Otimes(_u13329)), _u13334), _u13335), hAPP(c_Set_Oimage(_u13330, _u13332, _u13333), _u13331)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13329, _u13330, c_Groups_Otimes__class_Otimes(_u13329)), hAPP(c_Fun_Ocomp(_u13332, _u13329, _u13330, _u13334), _u13333)), _u13335), _u13331)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Oremove ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Oremove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13336, _u13337, _u13338, _u13339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13336), _u13340)) | ~hBOOL(hAPP(hAPP(c_member(_u13336), _u13341), _u13340)) | ( hAPP(_u13339, _u13340) = hAPP(c_Fun_Ocomp(_u13337, _u13337, _u13337, hAPP(_u13339, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13336, tc_HOL_Obool)), _u13340), hAPP(hAPP(c_Set_Oinsert(_u13336), _u13341), c_Orderings_Obot__class_Obot(tc_fun(_u13336, tc_HOL_Obool)))))), hAPP(_u13338, _u13341))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__image_Oreindex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__image_Oreindex-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13342, _u13343, _u13344, _u13345, _u13346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13343), _u13347)) | ~c_Fun_Oinj__on(_u13343, _u13343, _u13348, _u13347) | ( hAPP(hAPP(_u13346, _u13349), hAPP(c_Set_Oimage(_u13343, _u13343, _u13348), _u13347)) = hAPP(hAPP(_u13346, hAPP(c_Fun_Ocomp(_u13343, _u13342, _u13343, _u13349), _u13348)), _u13347)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Ounion ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Ounion-1, axiom, ( ~c_Finite__Set_Ofolding(_u13350, _u13351, _u13352, _u13353) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13350), _u13354)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13350), _u13355)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13350, tc_HOL_Obool)), _u13354), _u13355) != c_Orderings_Obot__class_Obot(tc_fun(_u13350, tc_HOL_Obool))) | ( hAPP(_u13353, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13350, tc_HOL_Obool)), _u13354), _u13355)) = hAPP(c_Fun_Ocomp(_u13351, _u13351, _u13351, hAPP(_u13353, _u13354)), hAPP(_u13353, _u13355))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Ocommute__comps_I1_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Ocommute__comps_I1_J-1, axiom, ( ~c_Finite__Set_Ofolding(_u13356, _u13357, _u13358, _u13359) | ( hAPP(c_Fun_Ocomp(_u13360, _u13361, _u13362, _u13363), hAPP(c_Fun_Ocomp(_u13364, _u13360, _u13362, _u13365), _u13366)) = hAPP(c_Fun_Ocomp(_u13364, _u13361, _u13362, hAPP(c_Fun_Ocomp(_u13360, _u13361, _u13364, _u13363), _u13365)), _u13366)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Ocommute__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Ocommute__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13368, _u13368, _u13368, hAPP(_u13369, _u13371)), hAPP(_u13369, _u13372)) = hAPP(c_Fun_Ocomp(_u13368, _u13368, _u13368, hAPP(_u13369, _u13372)), hAPP(_u13369, _u13371))) | ~c_Finite__Set_Ofolding(_u13367, _u13368, _u13369, _u13370) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Ocommute__left__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Ocommute__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13374, _u13374, _u13377, hAPP(_u13375, _u13378)), hAPP(c_Fun_Ocomp(_u13374, _u13374, _u13377, hAPP(_u13375, _u13379)), _u13380)) = hAPP(c_Fun_Ocomp(_u13374, _u13374, _u13377, hAPP(_u13375, _u13379)), hAPP(c_Fun_Ocomp(_u13374, _u13374, _u13377, hAPP(_u13375, _u13378)), _u13380))) | ~c_Finite__Set_Ofolding(_u13373, _u13374, _u13375, _u13376) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UN__o ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UN__o-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13381, tc_fun(_u13382, tc_HOL_Obool)), _u13383), hAPP(c_Fun_Ocomp(_u13384, tc_fun(_u13382, tc_HOL_Obool), _u13381, _u13385), _u13386)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13384, tc_fun(_u13382, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13381, _u13384, _u13386), _u13383)), _u13385)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fst__comp__map__pair ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fst__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13387, _u13388), _u13387, tc_prod(_u13389, _u13390), c_Product__Type_Ofst(_u13387, _u13388)), c_Product__Type_Omap__pair(_u13389, _u13387, _u13390, _u13388, _u13391, _u13392)) = hAPP(c_Fun_Ocomp(_u13389, _u13387, tc_prod(_u13389, _u13390), _u13391), c_Product__Type_Ofst(_u13389, _u13390))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_snd__comp__map__pair ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_snd__comp__map__pair-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13393, _u13394), _u13394, tc_prod(_u13395, _u13396), c_Product__Type_Osnd(_u13393, _u13394)), c_Product__Type_Omap__pair(_u13395, _u13393, _u13396, _u13394, _u13397, _u13398)) = hAPP(c_Fun_Ocomp(_u13396, _u13394, tc_prod(_u13395, _u13396), _u13398), c_Product__Type_Osnd(_u13395, _u13396))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__image_Odistrib ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__image_Odistrib-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13399, _u13400, _u13401, _u13402, _u13403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13400), _u13404)) | ( hAPP(hAPP(_u13403, hAPP(hAPP(c_COMBS(_u13400, _u13399, _u13399), hAPP(hAPP(c_COMBB(_u13399, tc_fun(_u13399, _u13399), _u13400), _u13401), _u13405)), _u13406)), _u13404) = hAPP(hAPP(_u13401, hAPP(hAPP(_u13403, _u13405), _u13404)), hAPP(hAPP(_u13403, _u13406), _u13404))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_split__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_split__comp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13407, _u13408, _u13409), hAPP(c_Fun_Ocomp(_u13410, tc_fun(_u13408, _u13409), _u13407, _u13411), _u13412)), _u13413) = hAPP(hAPP(_u13411, hAPP(_u13412, hAPP(c_Product__Type_Ofst(_u13407, _u13408), _u13413))), hAPP(c_Product__Type_Osnd(_u13407, _u13408), _u13413))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Ocommute__comp_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Ocommute__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13414, _u13415, _u13416, _u13417) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13414), _u13418)) | ( hAPP(c_Fun_Ocomp(_u13415, _u13415, _u13415, hAPP(_u13416, _u13419)), hAPP(_u13417, _u13418)) = hAPP(c_Fun_Ocomp(_u13415, _u13415, _u13415, hAPP(_u13417, _u13418)), hAPP(_u13416, _u13419))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Ocommute__left__comp_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Ocommute__left__comp_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13420, _u13421, _u13422, _u13423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13420), _u13424)) | ( hAPP(c_Fun_Ocomp(_u13421, _u13421, _u13425, hAPP(_u13422, _u13426)), hAPP(c_Fun_Ocomp(_u13421, _u13421, _u13425, hAPP(_u13423, _u13424)), _u13427)) = hAPP(c_Fun_Ocomp(_u13421, _u13421, _u13425, hAPP(_u13423, _u13424)), hAPP(c_Fun_Ocomp(_u13421, _u13421, _u13425, hAPP(_u13422, _u13426)), _u13427))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Ocommute__comp_H_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Ocommute__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13428, _u13429, _u13430, _u13431) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13428), _u13432)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13428), _u13433)) | ( hAPP(c_Fun_Ocomp(_u13429, _u13429, _u13429, hAPP(_u13431, _u13433)), hAPP(_u13431, _u13432)) = hAPP(c_Fun_Ocomp(_u13429, _u13429, _u13429, hAPP(_u13431, _u13432)), hAPP(_u13431, _u13433))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Ocommute__left__comp_H_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Ocommute__left__comp_H_H-1, axiom, ( ~c_Finite__Set_Ofolding(_u13434, _u13435, _u13436, _u13437) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13434), _u13438)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13434), _u13439)) | ( hAPP(c_Fun_Ocomp(_u13435, _u13435, _u13440, hAPP(_u13437, _u13439)), hAPP(c_Fun_Ocomp(_u13435, _u13435, _u13440, hAPP(_u13437, _u13438)), _u13441)) = hAPP(c_Fun_Ocomp(_u13435, _u13435, _u13440, hAPP(_u13437, _u13438)), hAPP(c_Fun_Ocomp(_u13435, _u13435, _u13440, hAPP(_u13437, _u13439)), _u13441))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Oempty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Oempty-1, axiom, ( ~c_Finite__Set_Ofolding(_u13442, _u13443, _u13444, _u13445) | ( hAPP(_u13445, c_Orderings_Obot__class_Obot(tc_fun(_u13442, tc_HOL_Obool))) = c_Fun_Oid(_u13443)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__image_Oeq__fold ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__image_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding__image(_u13446, _u13447, _u13448, _u13449, _u13450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13447), _u13451)) | ( hAPP(hAPP(_u13450, _u13452), _u13451) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13446, _u13447, _u13448), _u13452), _u13449), _u13451)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Oinsert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Oinsert-1, axiom, ( ~c_Finite__Set_Ofolding(_u13453, _u13454, _u13455, _u13456) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13453), _u13457)) | hBOOL(hAPP(hAPP(c_member(_u13453), _u13458), _u13457)) | ( hAPP(_u13456, hAPP(hAPP(c_Set_Oinsert(_u13453), _u13458), _u13457)) = hAPP(c_Fun_Ocomp(_u13454, _u13454, _u13454, hAPP(_u13456, _u13457)), hAPP(_u13455, _u13458))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Ounion__inter ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Ounion__inter-1, axiom, ( ~c_Finite__Set_Ofolding(_u13459, _u13460, _u13461, _u13462) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13459), _u13463)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13459), _u13464)) | ( hAPP(c_Fun_Ocomp(_u13460, _u13460, _u13460, hAPP(_u13462, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13459, tc_HOL_Obool)), _u13463), _u13464))), hAPP(_u13462, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13459, tc_HOL_Obool)), _u13463), _u13464))) = hAPP(c_Fun_Ocomp(_u13460, _u13460, _u13460, hAPP(_u13462, _u13463)), hAPP(_u13462, _u13464))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Oinsert__remove ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Oinsert__remove-1, axiom, ( ~c_Finite__Set_Ofolding(_u13465, _u13466, _u13467, _u13468) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13465), _u13469)) | ( hAPP(_u13468, hAPP(hAPP(c_Set_Oinsert(_u13465), _u13470), _u13469)) = hAPP(c_Fun_Ocomp(_u13466, _u13466, _u13466, hAPP(_u13468, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13465, tc_HOL_Obool)), _u13469), hAPP(hAPP(c_Set_Oinsert(_u13465), _u13470), c_Orderings_Obot__class_Obot(tc_fun(_u13465, tc_HOL_Obool)))))), hAPP(_u13467, _u13470))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_hoare__derivs_OIf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_hoare__derivs_OIf-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13471, _u13472, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13471)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13471), c_Hoare__Mirabelle_Opeek__and(_u13471, _u13473, _u13474)), _u13475), _u13476)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13471), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u13471, _u13472, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13471)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13471), c_Hoare__Mirabelle_Opeek__and(_u13471, _u13473, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13474))), _u13477), _u13476)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13471), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13471, _u13472, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13471)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13471), _u13473), c_Com_Ocom_OCond(_u13474, _u13475, _u13477)), _u13476)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13471), tc_HOL_Obool)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Loop ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Loop-1, axiom, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13478, _u13479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13478), c_Hoare__Mirabelle_Opeek__and(_u13478, _u13480, _u13481)), _u13482), _u13480)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13478), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13478, _u13479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13478), _u13480), c_Com_Ocom_OWhile(_u13481, _u13482)), c_Hoare__Mirabelle_Opeek__and(_u13478, _u13480, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13481)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13478), tc_HOL_Obool)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setsum__reindex__nonzero ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setsum__reindex__nonzero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | hBOOL(hAPP(hAPP(c_member(_u13486), skolem337(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485)), _u13487)) )).
% 43.37/43.59 cnf(fact_setsum__reindex__nonzero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | hBOOL(hAPP(hAPP(c_member(_u13486), skolem338(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485)), _u13487)) )).
% 43.37/43.59 cnf(fact_setsum__reindex__nonzero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | ( skolem337(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485) != skolem338(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485)) )).
% 43.37/43.59 cnf(fact_setsum__reindex__nonzero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | ( hAPP(_u13488, skolem337(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485)) = hAPP(_u13488, skolem338(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485))) )).
% 43.37/43.59 cnf(fact_setsum__reindex__nonzero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | ( hAPP(_u13489, hAPP(_u13488, skolem337(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485))) != c_Groups_Ozero__class_Ozero(_u13485)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_peek__and__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_peek__and__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13496, _u13498, _u13500), _u13502), _u13504)) | hBOOL(hAPP(hAPP(_u13498, _u13502), _u13504)) )).
% 43.37/43.59 cnf(fact_peek__and__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13496, _u13498, _u13500), _u13502), _u13504)) | hBOOL(hAPP(_u13500, _u13504)) )).
% 43.37/43.59 cnf(fact_peek__and__def-3, axiom, ( ~hBOOL(hAPP(hAPP(_u13499, _u13503), _u13505)) | ~hBOOL(hAPP(_u13501, _u13505)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13497, _u13499, _u13501), _u13503), _u13505)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__idem_Ounion__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__idem_Ounion__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13506, _u13507, _u13508, _u13509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13506), _u13510)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13506), _u13511)) | ( hAPP(_u13509, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13506, tc_HOL_Obool)), _u13510), _u13511)) = hAPP(c_Fun_Ocomp(_u13507, _u13507, _u13507, hAPP(_u13509, _u13510)), hAPP(_u13509, _u13511))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__idem_Osubset__comp__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__idem_Osubset__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13512, _u13513, _u13514, _u13515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13512), _u13516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13512, tc_HOL_Obool)), _u13517), _u13516)) | ( hAPP(c_Fun_Ocomp(_u13513, _u13513, _u13513, hAPP(_u13515, _u13516)), hAPP(_u13515, _u13517)) = hAPP(_u13515, _u13516)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__idem_Oinsert__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__idem_Oinsert__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13518, _u13519, _u13520, _u13521) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13518), _u13522)) | ( hAPP(_u13521, hAPP(hAPP(c_Set_Oinsert(_u13518), _u13523), _u13522)) = hAPP(c_Fun_Ocomp(_u13519, _u13519, _u13519, hAPP(_u13521, _u13522)), hAPP(_u13520, _u13523))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__idem_Oidem__left__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__idem_Oidem__left__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13525, _u13525, _u13528, hAPP(_u13526, _u13529)), hAPP(c_Fun_Ocomp(_u13525, _u13525, _u13528, hAPP(_u13526, _u13529)), _u13530)) = hAPP(c_Fun_Ocomp(_u13525, _u13525, _u13528, hAPP(_u13526, _u13529)), _u13530)) | ~c_Finite__Set_Ofolding__idem(_u13524, _u13525, _u13526, _u13527) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__idem_Oidem__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__idem_Oidem__comp-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u13532, _u13532, _u13532, hAPP(_u13533, _u13535)), hAPP(_u13533, _u13535)) = hAPP(_u13533, _u13535)) | ~c_Finite__Set_Ofolding__idem(_u13531, _u13532, _u13533, _u13534) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__idem_Oin__comp__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__idem_Oin__comp__idem-1, axiom, ( ~c_Finite__Set_Ofolding__idem(_u13536, _u13537, _u13538, _u13539) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13536), _u13540)) | ~hBOOL(hAPP(hAPP(c_member(_u13536), _u13541), _u13540)) | ( hAPP(c_Fun_Ocomp(_u13537, _u13537, _u13537, hAPP(_u13539, _u13540)), hAPP(_u13538, _u13541)) = hAPP(_u13539, _u13540)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_strong__setprod__reindex__cong ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_strong__setprod__reindex__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13543) | ~c_Fun_Oinj__on(_u13544, _u13545, _u13546, _u13547) | ( _u13548 != hAPP(c_Set_Oimage(_u13544, _u13545, _u13546), _u13547)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13545, _u13543), _u13550), _u13548) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13544, _u13543), _u13549), _u13547)) | hBOOL(hAPP(hAPP(c_member(_u13544), skolem339(_u13550, _u13549, _u13548, _u13547, _u13546, _u13545, _u13544, _u13543)), _u13547)) )).
% 43.37/43.59 cnf(fact_strong__setprod__reindex__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u13543) | ~c_Fun_Oinj__on(_u13544, _u13545, _u13546, _u13547) | ( _u13548 != hAPP(c_Set_Oimage(_u13544, _u13545, _u13546), _u13547)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13545, _u13543), _u13550), _u13548) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13544, _u13543), _u13549), _u13547)) | ( hAPP(_u13549, skolem339(_u13550, _u13549, _u13548, _u13547, _u13546, _u13545, _u13544, _u13543)) != hAPP(hAPP(c_Fun_Ocomp(_u13545, _u13543, _u13544, _u13550), _u13546), skolem339(_u13550, _u13549, _u13548, _u13547, _u13546, _u13545, _u13544, _u13543))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wfI__pf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wfI__pf-1, axiom, ( c_Wellfounded_Owf(_u13552, _u13553) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13552, tc_HOL_Obool)), skolem340(_u13553, _u13552)), hAPP(c_Relation_OImage(_u13552, _u13552, _u13553), skolem340(_u13553, _u13552)))) )).
% 43.37/43.59 cnf(fact_wfI__pf-2, axiom, ( c_Wellfounded_Owf(_u13552, _u13553) | ( skolem340(_u13553, _u13552) != c_Orderings_Obot__class_Obot(tc_fun(_u13552, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__mono ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13555, tc_HOL_Obool)), _u13556), _u13557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13555, _u13558), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13558), _u13556), _u13559)), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13558), _u13557), _u13560))) | hBOOL(hAPP(hAPP(c_member(_u13555), skolem341(_u13560, _u13559, _u13558, _u13557, _u13556, _u13555)), _u13556)) )).
% 43.37/43.59 cnf(fact_Sigma__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13555, tc_HOL_Obool)), _u13556), _u13557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13555, _u13558), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13558), _u13556), _u13559)), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13558), _u13557), _u13560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13558, tc_HOL_Obool)), hAPP(_u13559, skolem341(_u13560, _u13559, _u13558, _u13557, _u13556, _u13555))), hAPP(_u13560, skolem341(_u13560, _u13559, _u13558, _u13557, _u13556, _u13555)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_acc_OaccI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_acc_OaccI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13562), _u13563), c_Wellfounded_Oacc(_u13562, _u13564))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13562, _u13562)), hAPP(hAPP(c_Product__Type_OPair(_u13562, _u13562), skolem342(_u13564, _u13563, _u13562)), _u13563)), _u13564)) )).
% 43.37/43.59 cnf(fact_acc_OaccI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13562), _u13563), c_Wellfounded_Oacc(_u13562, _u13564))) | ~hBOOL(hAPP(hAPP(c_member(_u13562), skolem342(_u13564, _u13563, _u13562)), c_Wellfounded_Oacc(_u13562, _u13564))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_not__acc__down ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_not__acc__down-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13566), _u13567), c_Wellfounded_Oacc(_u13566, _u13568))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13566, _u13566)), hAPP(hAPP(c_Product__Type_OPair(_u13566, _u13566), skolem343(_u13568, _u13567, _u13566)), _u13567)), _u13568)) )).
% 43.37/43.59 cnf(fact_not__acc__down-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13566), _u13567), c_Wellfounded_Oacc(_u13566, _u13568))) | ~hBOOL(hAPP(hAPP(c_member(_u13566), skolem343(_u13568, _u13567, _u13566)), c_Wellfounded_Oacc(_u13566, _u13568))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_max__ext_Osimps ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_max__ext_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13577), _u13579)) )).
% 43.37/43.59 cnf(fact_max__ext_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13577), _u13581)) )).
% 43.37/43.59 cnf(fact_max__ext_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | ( _u13581 != c_Orderings_Obot__class_Obot(tc_fun(_u13577, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_max__ext_Osimps-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | ~hBOOL(hAPP(hAPP(c_member(_u13577), _u13570), _u13579)) | hBOOL(hAPP(hAPP(c_member(_u13577), skolem344(_u13583, _u13581, _u13579, _u13577, _u13570)), _u13581)) )).
% 43.37/43.59 cnf(fact_max__ext_Osimps-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | ~hBOOL(hAPP(hAPP(c_member(_u13577), _u13570), _u13579)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13577, _u13577)), hAPP(hAPP(c_Product__Type_OPair(_u13577, _u13577), _u13570), skolem344(_u13583, _u13581, _u13579, _u13577, _u13570))), _u13583)) )).
% 43.37/43.59 cnf(fact_max__ext_Osimps-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13578, tc_HOL_Obool), tc_fun(_u13578, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13578, tc_HOL_Obool), tc_fun(_u13578, tc_HOL_Obool)), _u13580), _u13582)), c_Wellfounded_Omax__ext(_u13578, _u13584))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13578), _u13580)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13578), _u13582)) | ( _u13582 = c_Orderings_Obot__class_Obot(tc_fun(_u13578, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13578), skolem345(_u13584, _u13582, _u13580, _u13578)), _u13580)) )).
% 43.37/43.59 cnf(fact_max__ext_Osimps-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13578, tc_HOL_Obool), tc_fun(_u13578, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13578, tc_HOL_Obool), tc_fun(_u13578, tc_HOL_Obool)), _u13580), _u13582)), c_Wellfounded_Omax__ext(_u13578, _u13584))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13578), _u13580)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13578), _u13582)) | ( _u13582 = c_Orderings_Obot__class_Obot(tc_fun(_u13578, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13578), _u13571), _u13582)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13578, _u13578)), hAPP(hAPP(c_Product__Type_OPair(_u13578, _u13578), skolem345(_u13584, _u13582, _u13580, _u13578)), _u13571)), _u13584)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__no__infinite__down__chainE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__no__infinite__down__chainE-1, axiom, ( ~c_Wellfounded_Owf(_u13586, _u13587) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13586, _u13586)), hAPP(hAPP(c_Product__Type_OPair(_u13586, _u13586), hAPP(_u13588, hAPP(c_Nat_OSuc, skolem346(_u13588, _u13587, _u13586)))), hAPP(_u13588, skolem346(_u13588, _u13587, _u13586)))), _u13587)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osize_I11_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osize_I11_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u13589, _u13590, _u13591)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u13591)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osize_I3_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osize_I3_J-1, axiom, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u13592, _u13593, _u13594)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u13594)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I36_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I36_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u13595, _u13596, _u13597) != c_Com_Ocom_OCond(_u13598, _u13599, _u13600)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I37_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I37_J-1, axiom, ( ( c_Com_Ocom_OCond(_u13601, _u13602, _u13603) != c_Com_Ocom_OLocal(_u13604, _u13605, _u13606)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I34_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I34_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u13607, _u13608, _u13609) != c_Com_Ocom_OSemi(_u13610, _u13611)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I35_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I35_J-1, axiom, ( ( c_Com_Ocom_OSemi(_u13612, _u13613) != c_Com_Ocom_OLocal(_u13614, _u13615, _u13616)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I11_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I11_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u13617, _u13618, _u13619) != c_Com_Ocom_OSKIP) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I10_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I10_J-1, axiom, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u13620, _u13621, _u13622)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I40_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I40_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u13623, _u13624, _u13625) != hAPP(c_Com_Ocom_OBODY, _u13626)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I41_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I41_J-1, axiom, ( ( hAPP(c_Com_Ocom_OBODY, _u13627) != c_Com_Ocom_OLocal(_u13628, _u13629, _u13630)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I38_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I38_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u13631, _u13632, _u13633) != c_Com_Ocom_OWhile(_u13634, _u13635)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I39_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I39_J-1, axiom, ( ( c_Com_Ocom_OWhile(_u13636, _u13637) != c_Com_Ocom_OLocal(_u13638, _u13639, _u13640)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_com_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_com_Osimps_I2_J-1, axiom, ( ( c_Com_Ocom_OLocal(_u13647, _u13649, _u13651) != c_Com_Ocom_OLocal(_u13653, _u13655, _u13657)) | ( _u13647 = _u13653) )).
% 43.37/43.59 cnf(fact_com_Osimps_I2_J-2, axiom, ( ( c_Com_Ocom_OLocal(_u13647, _u13649, _u13651) != c_Com_Ocom_OLocal(_u13653, _u13655, _u13657)) | ( _u13649 = _u13655) )).
% 43.37/43.59 cnf(fact_com_Osimps_I2_J-3, axiom, ( ( c_Com_Ocom_OLocal(_u13647, _u13649, _u13651) != c_Com_Ocom_OLocal(_u13653, _u13655, _u13657)) | ( _u13651 = _u13657) )).
% 43.37/43.59 cnf(fact_com_Osimps_I2_J-4, axiom, ( ( _u13648 != _u13654) | ( _u13650 != _u13656) | ( _u13652 != _u13658) | ( c_Com_Ocom_OLocal(_u13648, _u13650, _u13652) = c_Com_Ocom_OLocal(_u13654, _u13656, _u13658)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_scomp__unfold ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_scomp__unfold-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13659, _u13660, _u13661, _u13662), _u13663), _u13664), _u13665) = hAPP(hAPP(_u13664, hAPP(c_Product__Type_Ofst(_u13660, _u13661), hAPP(_u13663, _u13665))), hAPP(c_Product__Type_Osnd(_u13660, _u13661), hAPP(_u13663, _u13665)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setsum__ivl__cong ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setsum__ivl__cong-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13667) | ~class_Orderings_Oord(_u13668) | ( _u13669 != _u13670) | ( _u13671 != _u13672) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13673), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13674), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13670), _u13672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13668), _u13670), skolem347(_u13674, _u13673, _u13672, _u13671, _u13670, _u13669, _u13668, _u13667))) )).
% 43.37/43.59 cnf(fact_setsum__ivl__cong-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13667) | ~class_Orderings_Oord(_u13668) | ( _u13669 != _u13670) | ( _u13671 != _u13672) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13673), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13674), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13670), _u13672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13668), skolem347(_u13674, _u13673, _u13672, _u13671, _u13670, _u13669, _u13668, _u13667)), _u13672)) )).
% 43.37/43.59 cnf(fact_setsum__ivl__cong-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u13667) | ~class_Orderings_Oord(_u13668) | ( _u13669 != _u13670) | ( _u13671 != _u13672) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13673), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13674), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13670), _u13672))) | ( hAPP(_u13673, skolem347(_u13674, _u13673, _u13672, _u13671, _u13670, _u13669, _u13668, _u13667)) != hAPP(_u13674, skolem347(_u13674, _u13673, _u13672, _u13671, _u13670, _u13669, _u13668, _u13667))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_less__eq ( axiom ) converted to clauses:
% 43.37/43.59 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), _u13677), _u13679)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13677), _u13679)) )).
% 43.37/43.59 cnf(fact_less__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13678), _u13680)) | 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), _u13678), _u13680)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_scomp__apply ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_scomp__apply-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13681, _u13682, _u13683, _u13684), _u13685), _u13686), _u13687) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13682, _u13683, _u13684), _u13686), hAPP(_u13685, _u13687))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u13688, _u13689) | c_Wellfounded_Owf(_u13688, c_Transitive__Closure_Otrancl(_u13688, _u13689)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Pair__scomp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Pair__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13690, _u13691, _u13690, _u13692), hAPP(c_Product__Type_OPair(_u13691, _u13690), _u13693)), _u13694) = hAPP(_u13694, _u13693)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_scomp__scomp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_scomp__scomp-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13695, _u13696, _u13697, _u13698), hAPP(hAPP(c_Product__Type_Oscomp(_u13695, _u13699, _u13700, tc_prod(_u13696, _u13697)), _u13701), _u13702)), _u13703) = hAPP(hAPP(c_Product__Type_Oscomp(_u13695, _u13699, _u13700, _u13698), _u13701), hAPP(hAPP(c_COMBC(_u13699, tc_fun(_u13696, tc_fun(_u13697, _u13698)), tc_fun(_u13700, _u13698)), hAPP(hAPP(c_COMBB(tc_fun(_u13700, tc_prod(_u13696, _u13697)), tc_fun(tc_fun(_u13696, tc_fun(_u13697, _u13698)), tc_fun(_u13700, _u13698)), _u13699), c_Product__Type_Oscomp(_u13700, _u13696, _u13697, _u13698)), _u13702)), _u13703))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_scomp__Pair ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_scomp__Pair-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13704, _u13705, _u13706, tc_prod(_u13705, _u13706)), _u13707), c_Product__Type_OPair(_u13705, _u13706)) = _u13707) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_scomp__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_scomp__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13708, _u13709, _u13710, _u13711), _u13712), _u13713), _u13714) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13709, _u13710, _u13711), _u13713), hAPP(_u13712, _u13714))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_less__than__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_less__than__def-1, axiom, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_acyclic__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_acyclic__def-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13719, _u13721) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13719, _u13719)), hAPP(hAPP(c_Product__Type_OPair(_u13719, _u13719), _u13715), _u13715)), c_Transitive__Closure_Otrancl(_u13719, _u13721))) )).
% 43.37/43.59 cnf(fact_acyclic__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13720, _u13720)), hAPP(hAPP(c_Product__Type_OPair(_u13720, _u13720), skolem348(_u13722, _u13720)), skolem348(_u13722, _u13720))), c_Transitive__Closure_Otrancl(_u13720, _u13722))) | c_Wellfounded_Oacyclic(_u13720, _u13722) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl_Or__into__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl_Or__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13723, _u13723)), hAPP(hAPP(c_Product__Type_OPair(_u13723, _u13723), _u13724), _u13725)), _u13726)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13723, _u13723)), hAPP(hAPP(c_Product__Type_OPair(_u13723, _u13723), _u13724), _u13725)), c_Transitive__Closure_Otrancl(_u13723, _u13726))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__subset__Field2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__subset__Field2-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13727, _u13727), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13727, _u13728)), hAPP(hAPP(c_Product__Type_OSigma(_u13727, _u13727), hAPP(c_Relation_OField(_u13727), _u13728)), hAPP(c_COMBK(tc_fun(_u13727, tc_HOL_Obool), _u13727), hAPP(c_Relation_OField(_u13727), _u13728))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__Int__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13729, _u13729), tc_HOL_Obool)), _u13730), _u13731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13729, _u13729), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13729, _u13729, _u13729), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13729, _u13729), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13729, _u13730)), _u13731)), _u13730)), _u13731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13729, _u13729), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13729, _u13730)), _u13731)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_r__into__trancl_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_r__into__trancl_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13732, _u13732)), _u13733), _u13734)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13732, _u13732)), _u13733), c_Transitive__Closure_Otrancl(_u13732, _u13734))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__empty-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13735, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13735, _u13735), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13735, _u13735), tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__domain ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__domain-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13736, _u13736), c_Transitive__Closure_Otrancl(_u13736, _u13737)) = hAPP(c_Relation_ODomain(_u13736, _u13736), _u13737)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__range ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__range-1, axiom, ( ( hAPP(c_Relation_ORange(_u13738, _u13738), c_Transitive__Closure_Otrancl(_u13738, _u13739)) = hAPP(c_Relation_ORange(_u13738, _u13738), _u13739)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__trancl-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13742, _u13742)), c_Transitive__Closure_Otrancl(_u13742, _u13744))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13742, _u13742)), _u13744)) )).
% 43.37/43.59 cnf(fact_finite__trancl-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13743, _u13743)), _u13745)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13743, _u13743)), c_Transitive__Closure_Otrancl(_u13743, _u13745))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_r__r__into__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_r__r__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13746, _u13746)), hAPP(hAPP(c_Product__Type_OPair(_u13746, _u13746), _u13747), _u13748)), _u13749)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13746, _u13746)), hAPP(hAPP(c_Product__Type_OPair(_u13746, _u13746), _u13748), _u13750)), _u13749)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13746, _u13746)), hAPP(hAPP(c_Product__Type_OPair(_u13746, _u13746), _u13747), _u13750)), c_Transitive__Closure_Otrancl(_u13746, _u13749))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__into__trancl2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13751, _u13751)), hAPP(hAPP(c_Product__Type_OPair(_u13751, _u13751), _u13752), _u13753)), _u13754)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13751, _u13751)), hAPP(hAPP(c_Product__Type_OPair(_u13751, _u13751), _u13753), _u13755)), c_Transitive__Closure_Otrancl(_u13751, _u13754))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13751, _u13751)), hAPP(hAPP(c_Product__Type_OPair(_u13751, _u13751), _u13752), _u13755)), c_Transitive__Closure_Otrancl(_u13751, _u13754))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Transitive__Closure_Otrancl__into__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Transitive__Closure_Otrancl__into__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13756, _u13756)), hAPP(hAPP(c_Product__Type_OPair(_u13756, _u13756), _u13757), _u13758)), c_Transitive__Closure_Otrancl(_u13756, _u13759))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13756, _u13756)), hAPP(hAPP(c_Product__Type_OPair(_u13756, _u13756), _u13758), _u13760)), _u13759)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13756, _u13756)), hAPP(hAPP(c_Product__Type_OPair(_u13756, _u13756), _u13757), _u13760)), c_Transitive__Closure_Otrancl(_u13756, _u13759))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__trans ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13761, _u13761)), hAPP(hAPP(c_Product__Type_OPair(_u13761, _u13761), _u13762), _u13763)), c_Transitive__Closure_Otrancl(_u13761, _u13764))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13761, _u13761)), hAPP(hAPP(c_Product__Type_OPair(_u13761, _u13761), _u13763), _u13765)), c_Transitive__Closure_Otrancl(_u13761, _u13764))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13761, _u13761)), hAPP(hAPP(c_Product__Type_OPair(_u13761, _u13761), _u13762), _u13765)), c_Transitive__Closure_Otrancl(_u13761, _u13764))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__mono ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13766, _u13766)), _u13767), c_Transitive__Closure_Otrancl(_u13766, _u13768))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13766, _u13766), tc_HOL_Obool)), _u13768), _u13769)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13766, _u13766)), _u13767), c_Transitive__Closure_Otrancl(_u13766, _u13769))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__unfold ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__unfold-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13770, _u13771) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13770, _u13770), tc_HOL_Obool)), _u13771), hAPP(hAPP(c_Relation_Orel__comp(_u13770, _u13770, _u13770), c_Transitive__Closure_Otrancl(_u13770, _u13771)), _u13771))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__subset__Sigma ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__subset__Sigma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13772, _u13772), tc_HOL_Obool)), _u13773), hAPP(hAPP(c_Product__Type_OSigma(_u13772, _u13772), _u13774), hAPP(c_COMBK(tc_fun(_u13772, tc_HOL_Obool), _u13772), _u13774)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13772, _u13772), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13772, _u13773)), hAPP(hAPP(c_Product__Type_OSigma(_u13772, _u13772), _u13774), hAPP(c_COMBK(tc_fun(_u13772, tc_HOL_Obool), _u13772), _u13774)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_iterate_Osimps ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_iterate_Osimps-1, axiom, ( ( _u13780 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13782, _u13784, _u13780, _u13786), _u13788) = hAPP(c_Product__Type_OPair(_u13782, _u13784), _u13788)) )).
% 43.37/43.59 cnf(fact_iterate_Osimps-2, axiom, ( ( _u13781 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13783, _u13785, _u13781, _u13787), _u13789) = hAPP(hAPP(c_Product__Type_Oscomp(_u13785, _u13783, _u13785, tc_prod(_u13783, _u13785)), hAPP(_u13787, _u13789)), c_Random_Oiterate(_u13783, _u13785, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13781), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u13787))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__insert-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13790, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13790, _u13790)), hAPP(hAPP(c_Product__Type_OPair(_u13790, _u13790), _u13791), _u13792)), _u13793)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13790, _u13793)), hAPP(c_Set_OCollect(tc_prod(_u13790, _u13790)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13790, _u13790, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13790, tc_fun(_u13790, tc_HOL_Obool), tc_fun(_u13790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13790, tc_HOL_Obool), tc_fun(_u13790, tc_HOL_Obool)), _u13790), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13790)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13790), c_fconj), hAPP(hAPP(c_COMBC(_u13790, tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13790, _u13790), tc_fun(tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool), tc_HOL_Obool), _u13790), c_member(tc_prod(_u13790, _u13790))), hAPP(hAPP(c_COMBC(_u13790, _u13790, tc_prod(_u13790, _u13790)), c_Product__Type_OPair(_u13790, _u13790)), _u13791))), c_Transitive__Closure_Ortrancl(_u13790, _u13793))))), hAPP(hAPP(c_COMBC(_u13790, tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13790, _u13790), tc_fun(tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool), tc_HOL_Obool), _u13790), c_member(tc_prod(_u13790, _u13790))), hAPP(c_Product__Type_OPair(_u13790, _u13790), _u13792))), c_Transitive__Closure_Ortrancl(_u13790, _u13793))))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_reflcl__set__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_reflcl__set__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13798, tc_fun(_u13798, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13798, tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_fun(_u13798, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13798, tc_fun(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_fun(_u13798, tc_HOL_Obool)), _u13798), c_COMBC(_u13798, tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13798, tc_prod(_u13798, _u13798)), tc_fun(_u13798, tc_fun(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_HOL_Obool)), _u13798), hAPP(c_COMBB(tc_prod(_u13798, _u13798), tc_fun(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_HOL_Obool), _u13798), c_member(tc_prod(_u13798, _u13798)))), c_Product__Type_OPair(_u13798, _u13798)))), _u13800)), c_fequal), _u13802), _u13804)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13798, _u13798)), hAPP(hAPP(c_Product__Type_OPair(_u13798, _u13798), _u13802), _u13804)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool)), _u13800), c_Relation_OId(_u13798)))) )).
% 43.37/43.59 cnf(fact_reflcl__set__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13799, _u13799)), hAPP(hAPP(c_Product__Type_OPair(_u13799, _u13799), _u13803), _u13805)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool)), _u13801), c_Relation_OId(_u13799)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13799, tc_fun(_u13799, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13799, tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_fun(_u13799, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13799, tc_fun(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_fun(_u13799, tc_HOL_Obool)), _u13799), c_COMBC(_u13799, tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13799, tc_prod(_u13799, _u13799)), tc_fun(_u13799, tc_fun(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_HOL_Obool)), _u13799), hAPP(c_COMBB(tc_prod(_u13799, _u13799), tc_fun(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_HOL_Obool), _u13799), c_member(tc_prod(_u13799, _u13799)))), c_Product__Type_OPair(_u13799, _u13799)))), _u13801)), c_fequal), _u13803), _u13805)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_r__into__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_r__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13806, _u13806)), _u13807), _u13808)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13806, _u13806)), _u13807), c_Transitive__Closure_Ortrancl(_u13806, _u13808))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl_Ortrancl__refl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl_Ortrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13809, _u13809)), hAPP(hAPP(c_Product__Type_OPair(_u13809, _u13809), _u13810), _u13810)), c_Transitive__Closure_Ortrancl(_u13809, _u13811))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_IdI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_IdI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13812)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13812), _u13813), _u13813)), c_Relation_OId(_u13812))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__into__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13814, _u13814)), hAPP(hAPP(c_Product__Type_OPair(_u13814, _u13814), _u13815), _u13816)), c_Transitive__Closure_Otrancl(_u13814, _u13817))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13814, _u13814)), hAPP(hAPP(c_Product__Type_OPair(_u13814, _u13814), _u13815), _u13816)), c_Transitive__Closure_Ortrancl(_u13814, _u13817))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__unfold__left ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__unfold__left-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13818, _u13819) = hAPP(hAPP(c_Relation_Orel__comp(_u13818, _u13818, _u13818), _u13819), c_Transitive__Closure_Ortrancl(_u13818, _u13819))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__unfold__right ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__unfold__right-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13820, _u13821) = hAPP(hAPP(c_Relation_Orel__comp(_u13820, _u13820, _u13820), c_Transitive__Closure_Ortrancl(_u13820, _u13821)), _u13821)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_reflcl__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_reflcl__trancl-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13822, _u13822), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13822, _u13823)), c_Relation_OId(_u13822)) = c_Transitive__Closure_Ortrancl(_u13822, _u13823)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__reflcl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13824, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13824, _u13824), tc_HOL_Obool)), _u13825), c_Relation_OId(_u13824))) = c_Transitive__Closure_Ortrancl(_u13824, _u13825)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__trancl__absorb ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__trancl__absorb-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u13826, c_Transitive__Closure_Ortrancl(_u13826, _u13827)) = c_Transitive__Closure_Ortrancl(_u13826, _u13827)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__rtrancl__absorb ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__rtrancl__absorb-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13828, c_Transitive__Closure_Otrancl(_u13828, _u13829)) = c_Transitive__Closure_Ortrancl(_u13828, _u13829)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__rtrancl-1, axiom, ( c_Relation_Orefl__on(_u13830, c_Orderings_Otop__class_Otop(tc_fun(_u13830, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13830, _u13831)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__r__diff__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__r__diff__Id-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13832, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13832, _u13832), tc_HOL_Obool)), _u13833), c_Relation_OId(_u13832))) = c_Transitive__Closure_Ortrancl(_u13832, _u13833)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__rtrancl__into__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__rtrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13834, _u13834)), hAPP(hAPP(c_Product__Type_OPair(_u13834, _u13834), _u13835), _u13836)), _u13837)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13834, _u13834)), hAPP(hAPP(c_Product__Type_OPair(_u13834, _u13834), _u13836), _u13838)), c_Transitive__Closure_Ortrancl(_u13834, _u13837))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13834, _u13834)), hAPP(hAPP(c_Product__Type_OPair(_u13834, _u13834), _u13835), _u13838)), c_Transitive__Closure_Ortrancl(_u13834, _u13837))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl_Ortrancl__into__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl_Ortrancl__into__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13839, _u13839)), hAPP(hAPP(c_Product__Type_OPair(_u13839, _u13839), _u13840), _u13841)), c_Transitive__Closure_Ortrancl(_u13839, _u13842))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13839, _u13839)), hAPP(hAPP(c_Product__Type_OPair(_u13839, _u13839), _u13841), _u13843)), _u13842)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13839, _u13839)), hAPP(hAPP(c_Product__Type_OPair(_u13839, _u13839), _u13840), _u13843)), c_Transitive__Closure_Ortrancl(_u13839, _u13842))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__trans ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13844, _u13844)), hAPP(hAPP(c_Product__Type_OPair(_u13844, _u13844), _u13845), _u13846)), c_Transitive__Closure_Ortrancl(_u13844, _u13847))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13844, _u13844)), hAPP(hAPP(c_Product__Type_OPair(_u13844, _u13844), _u13846), _u13848)), c_Transitive__Closure_Ortrancl(_u13844, _u13847))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13844, _u13844)), hAPP(hAPP(c_Product__Type_OPair(_u13844, _u13844), _u13845), _u13848)), c_Transitive__Closure_Ortrancl(_u13844, _u13847))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__idemp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__idemp-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13849, c_Transitive__Closure_Ortrancl(_u13849, _u13850)) = c_Transitive__Closure_Ortrancl(_u13849, _u13850)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Image__closed__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Image__closed__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13851, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13851, _u13851, _u13852), _u13853)), _u13853)) | ( hAPP(c_Relation_OImage(_u13851, _u13851, c_Transitive__Closure_Ortrancl(_u13851, _u13852)), _u13853) = _u13853) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__Un__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13854, _u13854), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13854, _u13854), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13854, _u13855)), c_Transitive__Closure_Ortrancl(_u13854, _u13856))), c_Transitive__Closure_Ortrancl(_u13854, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13854, _u13854), tc_HOL_Obool)), _u13855), _u13856)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__reflcl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__reflcl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13857, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13857, _u13857), tc_HOL_Obool)), _u13858), c_Relation_OId(_u13857))) = c_Transitive__Closure_Ortrancl(_u13857, _u13858)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__Un__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__Un__rtrancl-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13859, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13859, _u13859), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13859, _u13860)), c_Transitive__Closure_Ortrancl(_u13859, _u13861))) = c_Transitive__Closure_Ortrancl(_u13859, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13859, _u13859), tc_HOL_Obool)), _u13860), _u13861))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__reflcl__absorb ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__reflcl__absorb-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13862, _u13862), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13862, _u13863)), c_Relation_OId(_u13862)) = c_Transitive__Closure_Ortrancl(_u13862, _u13863)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__subset__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__subset__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13864, _u13864), tc_HOL_Obool)), _u13865), c_Transitive__Closure_Ortrancl(_u13864, _u13866))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13864, _u13864), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13864, _u13865)), c_Transitive__Closure_Ortrancl(_u13864, _u13866))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13867, _u13867), tc_HOL_Obool)), _u13868), _u13869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13867, _u13867), tc_HOL_Obool)), _u13869), c_Transitive__Closure_Ortrancl(_u13867, _u13868))) | ( c_Transitive__Closure_Ortrancl(_u13867, _u13869) = c_Transitive__Closure_Ortrancl(_u13867, _u13868)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__mono ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13870, _u13870), tc_HOL_Obool)), _u13871), _u13872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13870, _u13870), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13870, _u13871)), c_Transitive__Closure_Ortrancl(_u13870, _u13872))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__Int__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__Int__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13873, _u13873), tc_HOL_Obool)), c_Relation_OId(_u13873)), _u13874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13873, _u13873), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13873, _u13873, _u13873), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13873, _u13873), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13873, _u13875)), _u13874)), _u13875)), _u13874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13873, _u13873), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13873, _u13875)), _u13874)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__idemp__self__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__idemp__self__comp-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13876, _u13876, _u13876), c_Transitive__Closure_Ortrancl(_u13876, _u13877)), c_Transitive__Closure_Ortrancl(_u13876, _u13877)) = c_Transitive__Closure_Ortrancl(_u13876, _u13877)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_r__comp__rtrancl__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_r__comp__rtrancl__eq-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13878, _u13878, _u13878), _u13879), c_Transitive__Closure_Ortrancl(_u13878, _u13879)) = hAPP(hAPP(c_Relation_Orel__comp(_u13878, _u13878, _u13878), c_Transitive__Closure_Ortrancl(_u13878, _u13879)), _u13879)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_in__rtrancl__UnI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_in__rtrancl__UnI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), _u13881), c_Transitive__Closure_Ortrancl(_u13880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool)), _u13882), _u13883)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), _u13881), c_Transitive__Closure_Ortrancl(_u13880, _u13882))) )).
% 43.37/43.59 cnf(fact_in__rtrancl__UnI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), _u13881), c_Transitive__Closure_Ortrancl(_u13880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool)), _u13882), _u13883)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), _u13881), c_Transitive__Closure_Ortrancl(_u13880, _u13883))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__unfold ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__unfold-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13884, _u13885) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13884, _u13884), tc_HOL_Obool)), c_Relation_OId(_u13884)), hAPP(hAPP(c_Relation_Orel__comp(_u13884, _u13884, _u13884), c_Transitive__Closure_Ortrancl(_u13884, _u13885)), _u13885))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__empty-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u13886, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13886, _u13886), tc_HOL_Obool))) = c_Relation_OId(_u13886)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__rtrancl-1, axiom, ( ( hAPP(c_Relation_ORange(_u13887, _u13887), c_Transitive__Closure_Ortrancl(_u13887, _u13888)) = c_Orderings_Otop__class_Otop(tc_fun(_u13887, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__rtrancl-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13889, _u13889), c_Transitive__Closure_Ortrancl(_u13889, _u13890)) = c_Orderings_Otop__class_Otop(tc_fun(_u13889, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_R__O__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_R__O__Id-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13891, _u13892, _u13892), _u13893), c_Relation_OId(_u13892)) = _u13893) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Id__O__R ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Id__O__R-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13894, _u13894, _u13895), c_Relation_OId(_u13894)), _u13896) = _u13896) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Image__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Image__Id-1, axiom, ( ( hAPP(c_Relation_OImage(_u13897, _u13897, c_Relation_OId(_u13897)), _u13898) = _u13898) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_pair__in__Id__conv ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_pair__in__Id__conv-1, axiom, ( ( _u13904 = _u13906) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13902, _u13902)), hAPP(hAPP(c_Product__Type_OPair(_u13902, _u13902), _u13904), _u13906)), c_Relation_OId(_u13902))) )).
% 43.37/43.59 cnf(fact_pair__in__Id__conv-2, axiom, ( ( _u13905 != _u13907) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13903, _u13903)), hAPP(hAPP(c_Product__Type_OPair(_u13903, _u13903), _u13905), _u13907)), c_Relation_OId(_u13903))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__eq__or__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__eq__or__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13912, _u13912)), hAPP(hAPP(c_Product__Type_OPair(_u13912, _u13912), _u13914), _u13916)), c_Transitive__Closure_Ortrancl(_u13912, _u13918))) | ( _u13914 = _u13916) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13912, _u13912)), hAPP(hAPP(c_Product__Type_OPair(_u13912, _u13912), _u13914), _u13916)), c_Transitive__Closure_Otrancl(_u13912, _u13918))) )).
% 43.37/43.59 cnf(fact_rtrancl__eq__or__trancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13913, _u13913)), hAPP(hAPP(c_Product__Type_OPair(_u13913, _u13913), _u13915), _u13917)), c_Transitive__Closure_Ortrancl(_u13913, _u13919))) | ( _u13915 != _u13917) )).
% 43.37/43.59 cnf(fact_rtrancl__eq__or__trancl-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13913, _u13913)), hAPP(hAPP(c_Product__Type_OPair(_u13913, _u13913), _u13915), _u13917)), c_Transitive__Closure_Ortrancl(_u13913, _u13919))) | ( _u13915 = _u13917) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13913, _u13913)), hAPP(hAPP(c_Product__Type_OPair(_u13913, _u13913), _u13915), _u13917)), c_Transitive__Closure_Otrancl(_u13913, _u13919))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__into__trancl2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__into__trancl2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13920, _u13920)), hAPP(hAPP(c_Product__Type_OPair(_u13920, _u13920), _u13921), _u13922)), _u13923)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13920, _u13920)), hAPP(hAPP(c_Product__Type_OPair(_u13920, _u13920), _u13922), _u13924)), c_Transitive__Closure_Ortrancl(_u13920, _u13923))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13920, _u13920)), hAPP(hAPP(c_Product__Type_OPair(_u13920, _u13920), _u13921), _u13924)), c_Transitive__Closure_Otrancl(_u13920, _u13923))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtranclD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13925, _u13925)), hAPP(hAPP(c_Product__Type_OPair(_u13925, _u13925), _u13926), _u13927)), c_Transitive__Closure_Ortrancl(_u13925, _u13928))) | ( _u13926 = _u13927) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13925, _u13925)), hAPP(hAPP(c_Product__Type_OPair(_u13925, _u13925), _u13926), _u13927)), c_Transitive__Closure_Otrancl(_u13925, _u13928))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__into__trancl1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__into__trancl1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13929, _u13929)), hAPP(hAPP(c_Product__Type_OPair(_u13929, _u13929), _u13930), _u13931)), c_Transitive__Closure_Ortrancl(_u13929, _u13932))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13929, _u13929)), hAPP(hAPP(c_Product__Type_OPair(_u13929, _u13929), _u13931), _u13933)), _u13932)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13929, _u13929)), hAPP(hAPP(c_Product__Type_OPair(_u13929, _u13929), _u13930), _u13933)), c_Transitive__Closure_Otrancl(_u13929, _u13932))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__rtrancl__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__rtrancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13934, _u13934)), hAPP(hAPP(c_Product__Type_OPair(_u13934, _u13934), _u13935), _u13936)), c_Transitive__Closure_Otrancl(_u13934, _u13937))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13934, _u13934)), hAPP(hAPP(c_Product__Type_OPair(_u13934, _u13934), _u13936), _u13938)), c_Transitive__Closure_Ortrancl(_u13934, _u13937))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13934, _u13934)), hAPP(hAPP(c_Product__Type_OPair(_u13934, _u13934), _u13935), _u13938)), c_Transitive__Closure_Otrancl(_u13934, _u13937))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__trancl__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__trancl__trancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13939, _u13939)), hAPP(hAPP(c_Product__Type_OPair(_u13939, _u13939), _u13940), _u13941)), c_Transitive__Closure_Ortrancl(_u13939, _u13942))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13939, _u13939)), hAPP(hAPP(c_Product__Type_OPair(_u13939, _u13939), _u13941), _u13943)), c_Transitive__Closure_Otrancl(_u13939, _u13942))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13939, _u13939)), hAPP(hAPP(c_Product__Type_OPair(_u13939, _u13939), _u13940), _u13943)), c_Transitive__Closure_Otrancl(_u13939, _u13942))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__Id-1, axiom, ( ( hAPP(c_Relation_ODomain(_u13944, _u13944), c_Relation_OId(_u13944)) = c_Orderings_Otop__class_Otop(tc_fun(_u13944, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__Id-1, axiom, ( ( hAPP(c_Relation_ORange(_u13945, _u13945), c_Relation_OId(_u13945)) = c_Orderings_Otop__class_Otop(tc_fun(_u13945, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__Id-1, axiom, ( c_Relation_Orefl__on(_u13946, c_Orderings_Otop__class_Otop(tc_fun(_u13946, tc_HOL_Obool)), c_Relation_OId(_u13946)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_pair__leq__def ( axiom ) converted to clauses:
% 43.37/43.59 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)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Not__Domain__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Not__Domain__rtrancl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13947), _u13948), hAPP(c_Relation_ODomain(_u13947, _u13947), _u13949))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13947, _u13947)), hAPP(hAPP(c_Product__Type_OPair(_u13947, _u13947), _u13948), _u13950)), c_Transitive__Closure_Ortrancl(_u13947, _u13949))) | ( _u13948 = _u13950) )).
% 43.37/43.59 cnf(fact_Not__Domain__rtrancl-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u13947), _u13948), hAPP(c_Relation_ODomain(_u13947, _u13947), _u13949))) | ( _u13948 != _u13950) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13947, _u13947)), hAPP(hAPP(c_Product__Type_OPair(_u13947, _u13947), _u13948), _u13950)), c_Transitive__Closure_Ortrancl(_u13947, _u13949))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_acc__downwards__aux ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_acc__downwards__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13951, _u13951)), hAPP(hAPP(c_Product__Type_OPair(_u13951, _u13951), _u13952), _u13953)), c_Transitive__Closure_Ortrancl(_u13951, _u13954))) | ~hBOOL(hAPP(hAPP(c_member(_u13951), _u13953), c_Wellfounded_Oacc(_u13951, _u13954))) | hBOOL(hAPP(hAPP(c_member(_u13951), _u13952), c_Wellfounded_Oacc(_u13951, _u13954))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_acc__downwards ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_acc__downwards-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u13955), _u13956), c_Wellfounded_Oacc(_u13955, _u13957))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13955, _u13955)), hAPP(hAPP(c_Product__Type_OPair(_u13955, _u13955), _u13958), _u13956)), c_Transitive__Closure_Ortrancl(_u13955, _u13957))) | hBOOL(hAPP(hAPP(c_member(_u13955), _u13958), c_Wellfounded_Oacc(_u13955, _u13957))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__insert-1, axiom, ( ~c_Wellfounded_Owf(_u13963, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13963, _u13963)), hAPP(hAPP(c_Product__Type_OPair(_u13963, _u13963), _u13965), _u13967)), _u13969)) | c_Wellfounded_Owf(_u13963, _u13969) )).
% 43.37/43.59 cnf(fact_wf__insert-2, axiom, ( ~c_Wellfounded_Owf(_u13963, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13963, _u13963)), hAPP(hAPP(c_Product__Type_OPair(_u13963, _u13963), _u13965), _u13967)), _u13969)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13963, _u13963)), hAPP(hAPP(c_Product__Type_OPair(_u13963, _u13963), _u13967), _u13965)), c_Transitive__Closure_Ortrancl(_u13963, _u13969))) )).
% 43.37/43.59 cnf(fact_wf__insert-3, axiom, ( ~c_Wellfounded_Owf(_u13964, _u13970) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13964, _u13964)), hAPP(hAPP(c_Product__Type_OPair(_u13964, _u13964), _u13968), _u13966)), c_Transitive__Closure_Ortrancl(_u13964, _u13970))) | c_Wellfounded_Owf(_u13964, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13964, _u13964)), hAPP(hAPP(c_Product__Type_OPair(_u13964, _u13964), _u13966), _u13968)), _u13970)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_acyclic__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_acyclic__insert-1, axiom, ( ~c_Wellfounded_Oacyclic(_u13975, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13975, _u13975)), hAPP(hAPP(c_Product__Type_OPair(_u13975, _u13975), _u13977), _u13979)), _u13981)) | c_Wellfounded_Oacyclic(_u13975, _u13981) )).
% 43.37/43.59 cnf(fact_acyclic__insert-2, axiom, ( ~c_Wellfounded_Oacyclic(_u13975, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13975, _u13975)), hAPP(hAPP(c_Product__Type_OPair(_u13975, _u13975), _u13977), _u13979)), _u13981)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13975, _u13975)), hAPP(hAPP(c_Product__Type_OPair(_u13975, _u13975), _u13979), _u13977)), c_Transitive__Closure_Ortrancl(_u13975, _u13981))) )).
% 43.37/43.59 cnf(fact_acyclic__insert-3, axiom, ( ~c_Wellfounded_Oacyclic(_u13976, _u13982) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13976, _u13976)), hAPP(hAPP(c_Product__Type_OPair(_u13976, _u13976), _u13980), _u13978)), c_Transitive__Closure_Ortrancl(_u13976, _u13982))) | c_Wellfounded_Oacyclic(_u13976, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13976, _u13976)), hAPP(hAPP(c_Product__Type_OPair(_u13976, _u13976), _u13978), _u13980)), _u13982)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__reflcl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__reflcl-1, axiom, ( c_Relation_Orefl__on(_u13983, c_Orderings_Otop__class_Otop(tc_fun(_u13983, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13983, _u13983), tc_HOL_Obool)), _u13984), c_Relation_OId(_u13983))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Id__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Id__def-1, axiom, ( ( c_Relation_OId(_u13985) = hAPP(c_Set_OCollect(tc_prod(_u13985, _u13985)), hAPP(hAPP(c_COMBB(tc_fun(_u13985, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u13985, _u13985)), c_HOL_OEx(_u13985)), hAPP(hAPP(c_COMBC(tc_prod(_u13985, _u13985), tc_fun(_u13985, tc_prod(_u13985, _u13985)), tc_fun(_u13985, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13985, _u13985), tc_HOL_Obool), tc_fun(tc_fun(_u13985, tc_prod(_u13985, _u13985)), tc_fun(_u13985, tc_HOL_Obool)), tc_prod(_u13985, _u13985)), c_COMBB(tc_prod(_u13985, _u13985), tc_HOL_Obool, _u13985)), c_fequal)), hAPP(hAPP(c_COMBS(_u13985, _u13985, tc_prod(_u13985, _u13985)), c_Product__Type_OPair(_u13985, _u13985)), c_COMBI(_u13985)))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_irrefl__diff__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_irrefl__diff__Id-1, axiom, ( c_Relation_Oirrefl(_u13986, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13986, _u13986), tc_HOL_Obool)), _u13987), c_Relation_OId(_u13986))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_pred__nat__trancl__eq__le ( axiom ) converted to clauses:
% 43.37/43.59 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), _u13990), _u13992)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13990), _u13992)) )).
% 43.37/43.59 cnf(fact_pred__nat__trancl__eq__le-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13991), _u13993)) | 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), _u13991), _u13993)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__subset__Sigma__aux ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__subset__Sigma__aux-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13994, _u13994)), hAPP(hAPP(c_Product__Type_OPair(_u13994, _u13994), _u13995), _u13996)), c_Transitive__Closure_Ortrancl(_u13994, _u13997))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13994, _u13994), tc_HOL_Obool)), _u13997), hAPP(hAPP(c_Product__Type_OSigma(_u13994, _u13994), _u13998), hAPP(c_COMBK(tc_fun(_u13994, tc_HOL_Obool), _u13994), _u13998)))) | ( _u13995 = _u13996) | hBOOL(hAPP(hAPP(c_member(_u13994), _u13995), _u13998)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_log_Osimps ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_log_Osimps-1, axiom, ( ( c_Random_Olog(_u14001, _u14003) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14001), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 43.37/43.59 cnf(fact_log_Osimps-2, axiom, ( ( c_Random_Olog(_u14001, _u14003) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14003), _u14001)) )).
% 43.37/43.59 cnf(fact_log_Osimps-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14002), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14004), _u14002)) | ( c_Random_Olog(_u14002, _u14004) = 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(_u14002, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u14004), _u14002)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_minus__shift__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_minus__shift__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14008), _u14010)) | ( c_Random_Ominus__shift(_u14012, _u14008, _u14010) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14012), _u14008)), _u14010)) )).
% 43.37/43.59 cnf(fact_minus__shift__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14009), _u14011)) | ( c_Random_Ominus__shift(_u14013, _u14009, _u14011) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14009), _u14011)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inc__shift__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inc__shift__def-1, axiom, ( ( _u14016 != _u14018) | ( c_Random_Oinc__shift(_u14016, _u14018) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 43.37/43.59 cnf(fact_inc__shift__def-2, axiom, ( ( _u14017 = _u14019) | ( c_Random_Oinc__shift(_u14017, _u14019) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14019), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_range ( axiom ) converted to clauses:
% 43.37/43.59 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)), _u14020)) | 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(_u14020), _u14021))), _u14020)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_irrefl__tranclI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_irrefl__tranclI-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14022, _u14022), _u14023)), c_Transitive__Closure_Ortrancl(_u14022, _u14023)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14022, _u14022)), hAPP(hAPP(c_Product__Type_OPair(_u14022, _u14022), _u14024), _u14024)), c_Transitive__Closure_Otrancl(_u14022, _u14023))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__converse-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14025, hAPP(c_Relation_Oconverse(_u14025, _u14025), _u14026)) = hAPP(c_Relation_Oconverse(_u14025, _u14025), c_Transitive__Closure_Ortrancl(_u14025, _u14026))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__Id-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14027, _u14027), c_Relation_OId(_u14027)) = c_Relation_OId(_u14027)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__Un ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__Un-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14028, _u14029), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14028, _u14029), tc_HOL_Obool)), _u14030), _u14031)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14029, _u14028), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14028, _u14029), _u14030)), hAPP(c_Relation_Oconverse(_u14028, _u14029), _u14031))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__converse-1, axiom, ( ( c_Transitive__Closure_Otrancl(_u14032, hAPP(c_Relation_Oconverse(_u14032, _u14032), _u14033)) = hAPP(c_Relation_Oconverse(_u14032, _u14032), c_Transitive__Closure_Otrancl(_u14032, _u14033))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_acyclic__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_acyclic__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u14036, hAPP(c_Relation_Oconverse(_u14036, _u14036), _u14038)) | c_Wellfounded_Oacyclic(_u14036, _u14038) )).
% 43.37/43.59 cnf(fact_acyclic__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u14037, _u14039) | c_Wellfounded_Oacyclic(_u14037, hAPP(c_Relation_Oconverse(_u14037, _u14037), _u14039)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__UNION ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__UNION-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14040, _u14041), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14042, tc_fun(tc_prod(_u14040, _u14041), tc_HOL_Obool)), _u14043), _u14044)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14042, tc_fun(tc_prod(_u14041, _u14040), tc_HOL_Obool)), _u14043), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14040, _u14041), tc_HOL_Obool), tc_fun(tc_prod(_u14041, _u14040), tc_HOL_Obool), _u14042), c_Relation_Oconverse(_u14040, _u14041)), _u14044))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__rel__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__rel__comp-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14045, _u14046), hAPP(hAPP(c_Relation_Orel__comp(_u14045, _u14047, _u14046), _u14048), _u14049)) = hAPP(hAPP(c_Relation_Orel__comp(_u14046, _u14047, _u14045), hAPP(c_Relation_Oconverse(_u14047, _u14046), _u14049)), hAPP(c_Relation_Oconverse(_u14045, _u14047), _u14048))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__Id__on ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__Id__on-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14050, _u14050), c_Relation_OId__on(_u14050, _u14051)) = c_Relation_OId__on(_u14050, _u14051)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__inv__image ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__inv__image-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14052, _u14052), hAPP(hAPP(c_Relation_Oinv__image(_u14053, _u14052), _u14054), _u14055)) = hAPP(hAPP(c_Relation_Oinv__image(_u14053, _u14052), hAPP(c_Relation_Oconverse(_u14053, _u14053), _u14054)), _u14055)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__converse-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14056, _u14057), hAPP(c_Relation_Oconverse(_u14057, _u14056), _u14058)) = _u14058) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__Int ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__Int-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14059, _u14060), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14059, _u14060), tc_HOL_Obool)), _u14061), _u14062)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14060, _u14059), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14059, _u14060), _u14061)), hAPP(c_Relation_Oconverse(_u14059, _u14060), _u14062))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Field__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Field__converse-1, axiom, ( ( hAPP(c_Relation_OField(_u14063), hAPP(c_Relation_Oconverse(_u14063, _u14063), _u14064)) = hAPP(c_Relation_OField(_u14063), _u14064)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14068, _u14070)), hAPP(c_Relation_Oconverse(_u14070, _u14068), _u14072))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14070, _u14068)), _u14072)) )).
% 43.37/43.59 cnf(fact_finite__converse-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14071, _u14069)), _u14073)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14069, _u14071)), hAPP(c_Relation_Oconverse(_u14071, _u14069), _u14073))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__on__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__on__converse-1, axiom, ( ~c_Relation_Orefl__on(_u14077, _u14079, hAPP(c_Relation_Oconverse(_u14077, _u14077), _u14081)) | c_Relation_Orefl__on(_u14077, _u14079, _u14081) )).
% 43.37/43.59 cnf(fact_refl__on__converse-2, axiom, ( ~c_Relation_Orefl__on(_u14078, _u14080, _u14082) | c_Relation_Orefl__on(_u14078, _u14080, hAPP(c_Relation_Oconverse(_u14078, _u14078), _u14082)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converseD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14083, _u14084)), hAPP(hAPP(c_Product__Type_OPair(_u14083, _u14084), _u14085), _u14086)), hAPP(c_Relation_Oconverse(_u14084, _u14083), _u14087))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14084, _u14083)), hAPP(hAPP(c_Product__Type_OPair(_u14084, _u14083), _u14086), _u14085)), _u14087)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converseI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14088, _u14089)), hAPP(hAPP(c_Product__Type_OPair(_u14088, _u14089), _u14090), _u14091)), _u14092)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14089, _u14088)), hAPP(hAPP(c_Product__Type_OPair(_u14089, _u14088), _u14091), _u14090)), hAPP(c_Relation_Oconverse(_u14088, _u14089), _u14092))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14098, _u14100)), hAPP(hAPP(c_Product__Type_OPair(_u14098, _u14100), _u14102), _u14104)), hAPP(c_Relation_Oconverse(_u14100, _u14098), _u14106))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14100, _u14098)), hAPP(hAPP(c_Product__Type_OPair(_u14100, _u14098), _u14104), _u14102)), _u14106)) )).
% 43.37/43.59 cnf(fact_converse__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14101, _u14099)), hAPP(hAPP(c_Product__Type_OPair(_u14101, _u14099), _u14105), _u14103)), _u14107)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14099, _u14101)), hAPP(hAPP(c_Product__Type_OPair(_u14099, _u14101), _u14103), _u14105)), hAPP(c_Relation_Oconverse(_u14101, _u14099), _u14107))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__converse__trancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__converse__trancl-1, axiom, ( ~c_Wellfounded_Owf(_u14108, hAPP(c_Relation_Oconverse(_u14108, _u14108), _u14109)) | c_Wellfounded_Owf(_u14108, hAPP(c_Relation_Oconverse(_u14108, _u14108), c_Transitive__Closure_Otrancl(_u14108, _u14109))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_equiv__comp__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_equiv__comp__eq-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u14110, _u14111, _u14112) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14110, _u14110, _u14110), hAPP(c_Relation_Oconverse(_u14110, _u14110), _u14112)), _u14112) = _u14112) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__converse-1, axiom, ( ( hAPP(c_Relation_ORange(_u14113, _u14114), hAPP(c_Relation_Oconverse(_u14114, _u14113), _u14115)) = hAPP(c_Relation_ODomain(_u14114, _u14113), _u14115)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__converse-1, axiom, ( ( hAPP(c_Relation_ODomain(_u14116, _u14117), hAPP(c_Relation_Oconverse(_u14117, _u14116), _u14118)) = hAPP(c_Relation_ORange(_u14117, _u14116), _u14118)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__def-1, axiom, ( ( hAPP(c_Relation_ORange(_u14119, _u14120), _u14121) = hAPP(c_Relation_ODomain(_u14120, _u14119), hAPP(c_Relation_Oconverse(_u14119, _u14120), _u14121))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__converseI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14122, _u14122)), hAPP(hAPP(c_Product__Type_OPair(_u14122, _u14122), _u14123), _u14124)), c_Transitive__Closure_Ortrancl(_u14122, _u14125))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14122, _u14122)), hAPP(hAPP(c_Product__Type_OPair(_u14122, _u14122), _u14124), _u14123)), c_Transitive__Closure_Ortrancl(_u14122, hAPP(c_Relation_Oconverse(_u14122, _u14122), _u14125)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__converseD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14126, _u14126)), hAPP(hAPP(c_Product__Type_OPair(_u14126, _u14126), _u14127), _u14128)), c_Transitive__Closure_Ortrancl(_u14126, hAPP(c_Relation_Oconverse(_u14126, _u14126), _u14129)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14126, _u14126)), hAPP(hAPP(c_Product__Type_OPair(_u14126, _u14126), _u14128), _u14127)), c_Transitive__Closure_Ortrancl(_u14126, _u14129))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__converseD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__converseD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14130, _u14130)), hAPP(hAPP(c_Product__Type_OPair(_u14130, _u14130), _u14131), _u14132)), c_Transitive__Closure_Otrancl(_u14130, hAPP(c_Relation_Oconverse(_u14130, _u14130), _u14133)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14130, _u14130)), hAPP(hAPP(c_Product__Type_OPair(_u14130, _u14130), _u14131), _u14132)), hAPP(c_Relation_Oconverse(_u14130, _u14130), c_Transitive__Closure_Otrancl(_u14130, _u14133)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__converseI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__converseI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14136)), hAPP(c_Relation_Oconverse(_u14134, _u14134), c_Transitive__Closure_Otrancl(_u14134, _u14137)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14136)), c_Transitive__Closure_Otrancl(_u14134, hAPP(c_Relation_Oconverse(_u14134, _u14134), _u14137)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Image__subset__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Image__subset__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14143, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14145, _u14143, _u14147), _u14149)), _u14151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14145, tc_HOL_Obool)), _u14149), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14145, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14143, _u14145, hAPP(c_Relation_Oconverse(_u14145, _u14143), _u14147)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14143, tc_HOL_Obool)), _u14151))))) )).
% 43.37/43.59 cnf(fact_Image__subset__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14146, tc_HOL_Obool)), _u14150), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14146, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14144, _u14146, hAPP(c_Relation_Oconverse(_u14146, _u14144), _u14148)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14144, tc_HOL_Obool)), _u14152))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14144, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14146, _u14144, _u14148), _u14150)), _u14152)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_refl__on__comp__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_refl__on__comp__subset-1, axiom, ( ~c_Relation_Orefl__on(_u14153, _u14154, _u14155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), _u14155), hAPP(hAPP(c_Relation_Orel__comp(_u14153, _u14153, _u14153), hAPP(c_Relation_Oconverse(_u14153, _u14153), _u14155)), _u14155))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_comp__equivI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_comp__equivI-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14156, _u14156, _u14156), hAPP(c_Relation_Oconverse(_u14156, _u14156), _u14157)), _u14157) != _u14157) | ( hAPP(c_Relation_ODomain(_u14156, _u14156), _u14157) != _u14158) | c_Equiv__Relations_Oequiv(_u14156, _u14158, _u14157) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__acyclic__wf__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__acyclic__wf__converse-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14159, _u14159)), _u14160)) | ~c_Wellfounded_Oacyclic(_u14159, _u14160) | c_Wellfounded_Owf(_u14159, hAPP(c_Relation_Oconverse(_u14159, _u14159), _u14160)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__def-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14161, _u14162), _u14163) = hAPP(c_Set_OCollect(tc_prod(_u14162, _u14161)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14162, _u14161, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14162, tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_fun(_u14161, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14161, tc_fun(tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_fun(_u14161, tc_HOL_Obool)), _u14162), c_COMBC(_u14161, tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14161, tc_prod(_u14161, _u14162)), tc_fun(_u14161, tc_fun(tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_HOL_Obool)), _u14162), hAPP(c_COMBB(tc_prod(_u14161, _u14162), tc_fun(tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_HOL_Obool), _u14161), c_member(tc_prod(_u14161, _u14162)))), hAPP(c_COMBC(_u14161, _u14162, tc_prod(_u14161, _u14162)), c_Product__Type_OPair(_u14161, _u14162))))), _u14163)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_sequence__trans ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_sequence__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14165, _u14165)), hAPP(hAPP(c_Product__Type_OPair(_u14165, _u14165), hAPP(_u14166, hAPP(c_Nat_OSuc, skolem349(_u14169, _u14168, _u14167, _u14166, _u14165)))), hAPP(_u14166, skolem349(_u14169, _u14168, _u14167, _u14166, _u14165)))), c_Transitive__Closure_Ortrancl(_u14165, _u14167))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14165, _u14165)), hAPP(hAPP(c_Product__Type_OPair(_u14165, _u14165), hAPP(_u14166, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14168), _u14169))), hAPP(_u14166, _u14168))), c_Transitive__Closure_Ortrancl(_u14165, _u14167))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_total__on__diff__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_total__on__diff__Id-1, axiom, ( ~c_Relation_Ototal__on(_u14173, _u14175, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14173, _u14173), tc_HOL_Obool)), _u14177), c_Relation_OId(_u14173))) | c_Relation_Ototal__on(_u14173, _u14175, _u14177) )).
% 43.37/43.59 cnf(fact_total__on__diff__Id-2, axiom, ( ~c_Relation_Ototal__on(_u14174, _u14176, _u14178) | c_Relation_Ototal__on(_u14174, _u14176, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14174, _u14174), tc_HOL_Obool)), _u14178), c_Relation_OId(_u14174))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_total__on__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_total__on__empty-1, axiom, ( c_Relation_Ototal__on(_u14179, c_Orderings_Obot__class_Obot(tc_fun(_u14179, tc_HOL_Obool)), _u14180) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_total__on__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_total__on__converse-1, axiom, ( ~c_Relation_Ototal__on(_u14184, _u14186, hAPP(c_Relation_Oconverse(_u14184, _u14184), _u14188)) | c_Relation_Ototal__on(_u14184, _u14186, _u14188) )).
% 43.37/43.59 cnf(fact_total__on__converse-2, axiom, ( ~c_Relation_Ototal__on(_u14185, _u14187, _u14189) | c_Relation_Ototal__on(_u14185, _u14187, hAPP(c_Relation_Oconverse(_u14185, _u14185), _u14189)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_total__on__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_total__on__def-1, axiom, ( ~c_Relation_Ototal__on(_u14197, _u14199, _u14201) | ~hBOOL(hAPP(hAPP(c_member(_u14197), _u14191), _u14199)) | ~hBOOL(hAPP(hAPP(c_member(_u14197), _u14190), _u14199)) | ( _u14191 = _u14190) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14197, _u14197)), hAPP(hAPP(c_Product__Type_OPair(_u14197, _u14197), _u14191), _u14190)), _u14201)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14197, _u14197)), hAPP(hAPP(c_Product__Type_OPair(_u14197, _u14197), _u14190), _u14191)), _u14201)) )).
% 43.37/43.59 cnf(fact_total__on__def-2, axiom, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | hBOOL(hAPP(hAPP(c_member(_u14198), skolem350(_u14202, _u14200, _u14198)), _u14200)) )).
% 43.37/43.59 cnf(fact_total__on__def-3, axiom, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | hBOOL(hAPP(hAPP(c_member(_u14198), skolem351(_u14202, _u14200, _u14198)), _u14200)) )).
% 43.37/43.59 cnf(fact_total__on__def-4, axiom, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | ( skolem350(_u14202, _u14200, _u14198) != skolem351(_u14202, _u14200, _u14198)) )).
% 43.37/43.59 cnf(fact_total__on__def-5, axiom, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), hAPP(hAPP(c_Product__Type_OPair(_u14198, _u14198), skolem350(_u14202, _u14200, _u14198)), skolem351(_u14202, _u14200, _u14198))), _u14202)) )).
% 43.37/43.59 cnf(fact_total__on__def-6, axiom, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), hAPP(hAPP(c_Product__Type_OPair(_u14198, _u14198), skolem351(_u14202, _u14200, _u14198)), skolem350(_u14202, _u14200, _u14198))), _u14202)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__imp__UN__rel__pow ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__imp__UN__rel__pow-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14203, _u14203)), _u14204), c_Transitive__Closure_Ortrancl(_u14203, _u14205))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14203, _u14203)), _u14204), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14203, _u14203), 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(_u14203, _u14203), tc_HOL_Obool), tc_fun(tc_prod(_u14203, _u14203), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14203, _u14203), tc_HOL_Obool)), _u14205)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_acyclicI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_acyclicI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14207, _u14207)), hAPP(hAPP(c_Product__Type_OPair(_u14207, _u14207), skolem352(_u14208, _u14207)), skolem352(_u14208, _u14207))), c_Transitive__Closure_Otrancl(_u14207, _u14208))) | c_Wellfounded_Oacyclic(_u14207, _u14208) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__1-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14209, _u14209), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14210) = _u14210) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__commute ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__commute-1, axiom, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14211, _u14211, _u14211), _u14212), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14211, _u14211), tc_HOL_Obool), _u14213), _u14212)) = hAPP(hAPP(c_Relation_Orel__comp(_u14211, _u14211, _u14211), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14211, _u14211), tc_HOL_Obool), _u14213), _u14212)), _u14212)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_comp__funpow ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_comp__funpow-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14214, _u14215), tc_fun(_u14214, _u14215)), _u14216), c_Fun_Ocomp(_u14215, _u14215, _u14214, _u14217)) = c_Fun_Ocomp(_u14215, _u14215, _u14214, hAPP(hAPP(c_Nat_Ocompow(_u14215, _u14215), _u14216), _u14217))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__exp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__exp-1, axiom, ( ~c_Wellfounded_Owf(_u14218, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14218, _u14218), tc_HOL_Obool), _u14219), _u14220)) | c_Wellfounded_Owf(_u14218, _u14220) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_funpow__swap1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_funpow__swap1-1, axiom, ( ( hAPP(_u14221, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14222, _u14222), _u14223), _u14221), _u14224)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14222, _u14222), _u14223), _u14221), hAPP(_u14221, _u14224))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_funpow__mult ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_funpow__mult-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14225, _u14225), _u14226), hAPP(hAPP(c_Nat_Ocompow(_u14225, _u14225), _u14227), _u14228)) = hAPP(hAPP(c_Nat_Ocompow(_u14225, _u14225), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14227), _u14226)), _u14228)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__imp__rtrancl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__imp__rtrancl-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14229, _u14229), tc_HOL_Obool), _u14231), _u14232))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, _u14232))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__power ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), _u14240), c_Transitive__Closure_Ortrancl(_u14238, _u14242))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), _u14240), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14238, _u14238), tc_HOL_Obool), skolem353(_u14242, _u14240, _u14238)), _u14242))) )).
% 43.37/43.59 cnf(fact_rtrancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14239, _u14239)), _u14241), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14239, _u14239), tc_HOL_Obool), _u14234), _u14243))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14239, _u14239)), _u14241), c_Transitive__Closure_Ortrancl(_u14239, _u14243))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_relpow_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_relpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14244, _u14244), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14245)), _u14246) = hAPP(hAPP(c_Relation_Orel__comp(_u14244, _u14244, _u14244), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14244, _u14244), tc_HOL_Obool), _u14245), _u14246)), _u14246)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__add ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14247, _u14247), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14248), _u14249)), _u14250) = hAPP(hAPP(c_Relation_Orel__comp(_u14247, _u14247, _u14247), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14247, _u14247), tc_HOL_Obool), _u14248), _u14250)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14247, _u14247), tc_HOL_Obool), _u14249), _u14250))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_relpow_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_relpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14251, _u14251), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14252) = c_Relation_OId(_u14251)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__0__I ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__0__I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14253, _u14253)), hAPP(hAPP(c_Product__Type_OPair(_u14253, _u14253), _u14254), _u14254)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14253, _u14253), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14255))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__0__E ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__0__E-1, axiom, ( ( _u14257 = _u14258) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14256, _u14256)), hAPP(hAPP(c_Product__Type_OPair(_u14256, _u14256), _u14257), _u14258)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14256, _u14256), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14259))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__Suc__I ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__Suc__I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), hAPP(hAPP(c_Product__Type_OPair(_u14260, _u14260), _u14261), _u14262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14260, _u14260), tc_HOL_Obool), _u14263), _u14264))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), hAPP(hAPP(c_Product__Type_OPair(_u14260, _u14260), _u14262), _u14265)), _u14264)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), hAPP(hAPP(c_Product__Type_OPair(_u14260, _u14260), _u14261), _u14265)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14260, _u14260), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14263)), _u14264))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__Suc__I2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__Suc__I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14268)), _u14269)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14268), _u14270)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14266, _u14266), tc_HOL_Obool), _u14271), _u14269))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14270)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14266, _u14266), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14271)), _u14269))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_funpow_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_funpow_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14272, _u14272), hAPP(c_Nat_OSuc, _u14273)), _u14274) = hAPP(c_Fun_Ocomp(_u14272, _u14272, _u14272, _u14274), hAPP(hAPP(c_Nat_Ocompow(_u14272, _u14272), _u14273), _u14274))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_funpow__add ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_funpow__add-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14275, _u14275), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14276), _u14277)), _u14278) = hAPP(c_Fun_Ocomp(_u14275, _u14275, _u14275, hAPP(hAPP(c_Nat_Ocompow(_u14275, _u14275), _u14276), _u14278)), hAPP(hAPP(c_Nat_Ocompow(_u14275, _u14275), _u14277), _u14278))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_funpow_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_funpow_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14279, _u14279), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14280) = c_Fun_Oid(_u14279)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_trancl__power ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_trancl__power-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), _u14288), c_Transitive__Closure_Otrancl(_u14286, _u14290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem354(_u14290, _u14288, _u14286))) )).
% 43.37/43.59 cnf(fact_trancl__power-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), _u14288), c_Transitive__Closure_Otrancl(_u14286, _u14290))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), _u14288), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14286, _u14286), tc_HOL_Obool), skolem354(_u14290, _u14288, _u14286)), _u14290))) )).
% 43.37/43.59 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)), _u14282)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14287, _u14287)), _u14289), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14287, _u14287), tc_HOL_Obool), _u14282), _u14291))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14287, _u14287)), _u14289), c_Transitive__Closure_Otrancl(_u14287, _u14291))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__is__UN__rel__pow ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__is__UN__rel__pow-1, axiom, ( ( c_Transitive__Closure_Ortrancl(_u14292, _u14293) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14292, _u14292), 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(_u14292, _u14292), tc_HOL_Obool), tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14292, _u14292), tc_HOL_Obool)), _u14293))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_funpow__code__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_funpow__code__def-1, axiom, ( ( c_Nat_Ofunpow(_u14294) = c_Nat_Ocompow(_u14294, _u14294)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__E2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14300 = hAPP(c_Nat_OSuc, skolem356(_u14301, _u14300, _u14299, _u14298, _u14297))) )).
% 43.37/43.59 cnf(fact_rel__pow__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), skolem355(_u14301, _u14300, _u14299, _u14298, _u14297))), _u14301)) )).
% 43.37/43.59 cnf(fact_rel__pow__E2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), skolem355(_u14301, _u14300, _u14299, _u14298, _u14297)), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), skolem356(_u14301, _u14300, _u14299, _u14298, _u14297)), _u14301))) )).
% 43.37/43.59 cnf(fact_rel__pow__E2-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14298 = _u14299) | ( _u14300 = hAPP(c_Nat_OSuc, skolem356(_u14301, _u14300, _u14299, _u14298, _u14297))) )).
% 43.37/43.59 cnf(fact_rel__pow__E2-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14298 = _u14299) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), skolem355(_u14301, _u14300, _u14299, _u14298, _u14297))), _u14301)) )).
% 43.37/43.59 cnf(fact_rel__pow__E2-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14298 = _u14299) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), skolem355(_u14301, _u14300, _u14299, _u14298, _u14297)), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), skolem356(_u14301, _u14300, _u14299, _u14298, _u14297)), _u14301))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__E ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14307 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14307 = hAPP(c_Nat_OSuc, skolem358(_u14308, _u14307, _u14306, _u14305, _u14304))) )).
% 43.37/43.59 cnf(fact_rel__pow__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14307 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), skolem357(_u14308, _u14307, _u14306, _u14305, _u14304))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), skolem358(_u14308, _u14307, _u14306, _u14305, _u14304)), _u14308))) )).
% 43.37/43.59 cnf(fact_rel__pow__E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14307 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), skolem357(_u14308, _u14307, _u14306, _u14305, _u14304)), _u14306)), _u14308)) )).
% 43.37/43.59 cnf(fact_rel__pow__E-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14305 = _u14306) | ( _u14307 = hAPP(c_Nat_OSuc, skolem358(_u14308, _u14307, _u14306, _u14305, _u14304))) )).
% 43.37/43.59 cnf(fact_rel__pow__E-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14305 = _u14306) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), skolem357(_u14308, _u14307, _u14306, _u14305, _u14304))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), skolem358(_u14308, _u14307, _u14306, _u14305, _u14304)), _u14308))) )).
% 43.37/43.59 cnf(fact_rel__pow__E-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14305 = _u14306) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), skolem357(_u14308, _u14307, _u14306, _u14305, _u14304)), _u14306)), _u14308)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Image__Int__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Image__Int__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u14309, _u14310, hAPP(c_Relation_Oconverse(_u14310, _u14309), _u14311)) | ( hAPP(c_Relation_OImage(_u14310, _u14309, _u14311), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14310, tc_HOL_Obool)), _u14312), _u14313)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14309, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14310, _u14309, _u14311), _u14312)), hAPP(c_Relation_OImage(_u14310, _u14309, _u14311), _u14313))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_single__valued__rel__pow ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_single__valued__rel__pow-1, axiom, ( ~c_Relation_Osingle__valued(_u14314, _u14314, _u14315) | c_Relation_Osingle__valued(_u14314, _u14314, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14314, _u14314), tc_HOL_Obool), _u14316), _u14315)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_single__valued__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_single__valued__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14317, _u14318), tc_HOL_Obool)), _u14319), _u14320)) | ~c_Relation_Osingle__valued(_u14317, _u14318, _u14320) | c_Relation_Osingle__valued(_u14317, _u14318, _u14319) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_single__valued__Id ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_single__valued__Id-1, axiom, ( c_Relation_Osingle__valued(_u14321, _u14321, c_Relation_OId(_u14321)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_single__valued__rel__comp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_single__valued__rel__comp-1, axiom, ( ~c_Relation_Osingle__valued(_u14322, _u14323, _u14324) | ~c_Relation_Osingle__valued(_u14323, _u14325, _u14326) | c_Relation_Osingle__valued(_u14322, _u14325, hAPP(hAPP(c_Relation_Orel__comp(_u14322, _u14323, _u14325), _u14324), _u14326)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_single__valued__Id__on ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_single__valued__Id__on-1, axiom, ( c_Relation_Osingle__valued(_u14327, _u14327, c_Relation_OId__on(_u14327, _u14328)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_single__valuedD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_single__valuedD-1, axiom, ( ~c_Relation_Osingle__valued(_u14329, _u14330, _u14331) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14329, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14330), _u14332), _u14333)), _u14331)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14329, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14330), _u14332), _u14334)), _u14331)) | ( _u14333 = _u14334) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_single__valued__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_single__valued__def-1, axiom, ( ~c_Relation_Osingle__valued(_u14344, _u14346, _u14348) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14344, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14344, _u14346), _u14337), _u14336)), _u14348)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14344, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14344, _u14346), _u14337), _u14335)), _u14348)) | ( _u14336 = _u14335) )).
% 43.37/43.59 cnf(fact_single__valued__def-2, axiom, ( c_Relation_Osingle__valued(_u14345, _u14347, _u14349) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14345, _u14347)), hAPP(hAPP(c_Product__Type_OPair(_u14345, _u14347), skolem359(_u14349, _u14347, _u14345)), skolem360(_u14349, _u14347, _u14345))), _u14349)) )).
% 43.37/43.59 cnf(fact_single__valued__def-3, axiom, ( c_Relation_Osingle__valued(_u14345, _u14347, _u14349) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14345, _u14347)), hAPP(hAPP(c_Product__Type_OPair(_u14345, _u14347), skolem359(_u14349, _u14347, _u14345)), skolem361(_u14349, _u14347, _u14345))), _u14349)) )).
% 43.37/43.59 cnf(fact_single__valued__def-4, axiom, ( c_Relation_Osingle__valued(_u14345, _u14347, _u14349) | ( skolem360(_u14349, _u14347, _u14345) != skolem361(_u14349, _u14347, _u14345)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_single__valued__confluent ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_single__valued__confluent-1, axiom, ( ~c_Relation_Osingle__valued(_u14350, _u14350, _u14351) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14350, _u14350)), hAPP(hAPP(c_Product__Type_OPair(_u14350, _u14350), _u14352), _u14353)), c_Transitive__Closure_Ortrancl(_u14350, _u14351))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14350, _u14350)), hAPP(hAPP(c_Product__Type_OPair(_u14350, _u14350), _u14352), _u14354)), c_Transitive__Closure_Ortrancl(_u14350, _u14351))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14350, _u14350)), hAPP(hAPP(c_Product__Type_OPair(_u14350, _u14350), _u14353), _u14354)), c_Transitive__Closure_Ortrancl(_u14350, _u14351))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14350, _u14350)), hAPP(hAPP(c_Product__Type_OPair(_u14350, _u14350), _u14354), _u14353)), c_Transitive__Closure_Ortrancl(_u14350, _u14351))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__Un__separator__converseE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__Un__separator__converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14357, _u14357), tc_HOL_Obool)), _u14360), _u14361)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, _u14360))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), skolem362(_u14361, _u14360, _u14359, _u14358, _u14357)), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, _u14360))) )).
% 43.37/43.59 cnf(fact_rtrancl__Un__separator__converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14357, _u14357), tc_HOL_Obool)), _u14360), _u14361)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, _u14360))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), skolem363(_u14361, _u14360, _u14359, _u14358, _u14357)), skolem362(_u14361, _u14360, _u14359, _u14358, _u14357))), _u14361)) )).
% 43.37/43.59 cnf(fact_rtrancl__Un__separator__converseE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14357, _u14357), tc_HOL_Obool)), _u14360), _u14361)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, _u14360))) | ( skolem363(_u14361, _u14360, _u14359, _u14358, _u14357) != skolem362(_u14361, _u14360, _u14359, _u14358, _u14357)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__Un__separatorE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__Un__separatorE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), _u14367), _u14368)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, _u14367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), skolem364(_u14368, _u14367, _u14366, _u14365, _u14364))), c_Transitive__Closure_Ortrancl(_u14364, _u14367))) )).
% 43.37/43.59 cnf(fact_rtrancl__Un__separatorE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), _u14367), _u14368)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, _u14367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), skolem364(_u14368, _u14367, _u14366, _u14365, _u14364)), skolem365(_u14368, _u14367, _u14366, _u14365, _u14364))), _u14368)) )).
% 43.37/43.59 cnf(fact_rtrancl__Un__separatorE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), _u14367), _u14368)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, _u14367))) | ( skolem364(_u14368, _u14367, _u14366, _u14365, _u14364) != skolem365(_u14368, _u14367, _u14366, _u14365, _u14364)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__Suc__E ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__Suc__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14370, _u14370)), hAPP(hAPP(c_Product__Type_OPair(_u14370, _u14370), _u14371), _u14372)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14370, _u14370), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14373)), _u14374))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14370, _u14370)), hAPP(hAPP(c_Product__Type_OPair(_u14370, _u14370), _u14371), skolem366(_u14374, _u14373, _u14372, _u14371, _u14370))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14370, _u14370), tc_HOL_Obool), _u14373), _u14374))) )).
% 43.37/43.59 cnf(fact_rel__pow__Suc__E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14370, _u14370)), hAPP(hAPP(c_Product__Type_OPair(_u14370, _u14370), _u14371), _u14372)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14370, _u14370), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14373)), _u14374))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14370, _u14370)), hAPP(hAPP(c_Product__Type_OPair(_u14370, _u14370), skolem366(_u14374, _u14373, _u14372, _u14371, _u14370)), _u14372)), _u14374)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__Suc__E2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__Suc__E2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), _u14377), _u14378)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14376, _u14376), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14379)), _u14380))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), _u14377), skolem367(_u14380, _u14379, _u14378, _u14377, _u14376))), _u14380)) )).
% 43.37/43.59 cnf(fact_rel__pow__Suc__E2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), _u14377), _u14378)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14376, _u14376), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14379)), _u14380))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), skolem367(_u14380, _u14379, _u14378, _u14377, _u14376)), _u14378)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14376, _u14376), tc_HOL_Obool), _u14379), _u14380))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__pow__Suc__D2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__pow__Suc__D2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14382, _u14382)), hAPP(hAPP(c_Product__Type_OPair(_u14382, _u14382), _u14383), _u14384)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14382, _u14382), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14385)), _u14386))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14382, _u14382)), hAPP(hAPP(c_Product__Type_OPair(_u14382, _u14382), _u14383), skolem368(_u14386, _u14385, _u14384, _u14383, _u14382))), _u14386)) )).
% 43.37/43.59 cnf(fact_rel__pow__Suc__D2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14382, _u14382)), hAPP(hAPP(c_Product__Type_OPair(_u14382, _u14382), _u14383), _u14384)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14382, _u14382), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14385)), _u14386))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14382, _u14382)), hAPP(hAPP(c_Product__Type_OPair(_u14382, _u14382), skolem368(_u14386, _u14385, _u14384, _u14383, _u14382)), _u14384)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14382, _u14382), tc_HOL_Obool), _u14385), _u14386))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_tranclD2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_tranclD2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14388, _u14388)), hAPP(hAPP(c_Product__Type_OPair(_u14388, _u14388), _u14389), _u14390)), c_Transitive__Closure_Otrancl(_u14388, _u14391))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14388, _u14388)), hAPP(hAPP(c_Product__Type_OPair(_u14388, _u14388), _u14389), skolem369(_u14391, _u14390, _u14389, _u14388))), c_Transitive__Closure_Ortrancl(_u14388, _u14391))) )).
% 43.37/43.59 cnf(fact_tranclD2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14388, _u14388)), hAPP(hAPP(c_Product__Type_OPair(_u14388, _u14388), _u14389), _u14390)), c_Transitive__Closure_Otrancl(_u14388, _u14391))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14388, _u14388)), hAPP(hAPP(c_Product__Type_OPair(_u14388, _u14388), skolem369(_u14391, _u14390, _u14389, _u14388)), _u14390)), _u14391)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_tranclD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_tranclD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14393), _u14394), _u14395)), c_Transitive__Closure_Otrancl(_u14393, _u14396))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14393), _u14394), skolem370(_u14396, _u14395, _u14394, _u14393))), _u14396)) )).
% 43.37/43.59 cnf(fact_tranclD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14393), _u14394), _u14395)), c_Transitive__Closure_Otrancl(_u14393, _u14396))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14393), skolem370(_u14396, _u14395, _u14394, _u14393)), _u14395)), c_Transitive__Closure_Ortrancl(_u14393, _u14396))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_IdE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_IdE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14398, _u14398)), _u14399), c_Relation_OId(_u14398))) | ( _u14399 = hAPP(hAPP(c_Product__Type_OPair(_u14398, _u14398), skolem371(_u14399, _u14398)), skolem371(_u14399, _u14398))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_nat__intermed__int__val ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_nat__intermed__int__val-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem372(_u14405, _u14404, _u14403, _u14402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem373(_u14405, _u14404, _u14403, _u14402))) )).
% 43.37/43.59 cnf(fact_nat__intermed__int__val-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem372(_u14405, _u14404, _u14403, _u14402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem373(_u14405, _u14404, _u14403, _u14402)), _u14403)) )).
% 43.37/43.59 cnf(fact_nat__intermed__int__val-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem372(_u14405, _u14404, _u14403, _u14402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | ( hAPP(_u14404, skolem373(_u14405, _u14404, _u14403, _u14402)) = _u14405) )).
% 43.37/43.59 cnf(fact_nat__intermed__int__val-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem373(_u14405, _u14404, _u14403, _u14402))) )).
% 43.37/43.59 cnf(fact_nat__intermed__int__val-5, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem373(_u14405, _u14404, _u14403, _u14402)), _u14403)) )).
% 43.37/43.59 cnf(fact_nat__intermed__int__val-6, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | ( hAPP(_u14404, skolem373(_u14405, _u14404, _u14403, _u14402)) = _u14405) )).
% 43.37/43.59 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(_u14404, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14404, skolem372(_u14405, _u14404, _u14403, _u14402))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem373(_u14405, _u14404, _u14403, _u14402))) )).
% 43.37/43.59 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(_u14404, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14404, skolem372(_u14405, _u14404, _u14403, _u14402))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem373(_u14405, _u14404, _u14403, _u14402)), _u14403)) )).
% 43.37/43.59 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(_u14404, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14404, skolem372(_u14405, _u14404, _u14403, _u14402))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | ( hAPP(_u14404, skolem373(_u14405, _u14404, _u14403, _u14402)) = _u14405) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_OSup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_OSup__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14406), _u14407)) | hBOOL(hAPP(hAPP(c_member(_u14406), _u14408), _u14407)) | ( c_Big__Operators_Olattice_OSup__fin(_u14406, c_Orderings_Oord__class_Omax(_u14406), hAPP(hAPP(c_Set_Oinsert(_u14406), _u14408), _u14407)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14406, _u14406, c_Orderings_Oord__class_Omax(_u14406)), _u14408), _u14407)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold__empty-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14409, _u14410, _u14411), _u14412), c_Orderings_Obot__class_Obot(tc_fun(_u14409, tc_HOL_Obool))) = _u14412) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold__image__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold__image__def-1, axiom, ( ( hAPP(c_Finite__Set_Ofold__image(_u14413, _u14414, _u14415), _u14416) = c_Finite__Set_Ofold(_u14414, _u14413, hAPP(hAPP(c_COMBB(_u14413, tc_fun(_u14413, _u14413), _u14414), _u14415), _u14416))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding_Oeq__fold ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding_Oeq__fold-1, axiom, ( ~c_Finite__Set_Ofolding(_u14417, _u14418, _u14419, _u14420) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14417), _u14421)) | ( hAPP(hAPP(_u14420, _u14421), _u14422) = hAPP(hAPP(c_Finite__Set_Ofold(_u14417, _u14418, _u14419), _u14422), _u14421)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold__def-1, axiom, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14423, _u14424, _u14425), _u14426), _u14427) = c_HOL_OThe(_u14424, c_Finite__Set_Ofold__graph(_u14423, _u14424, _u14425, _u14426, _u14427))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_union__fold__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_union__fold__insert-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14428), _u14429)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14428, tc_HOL_Obool)), _u14429), _u14430) = hAPP(hAPP(c_Finite__Set_Ofold(_u14428, tc_fun(_u14428, tc_HOL_Obool), c_Set_Oinsert(_u14428)), _u14430), _u14429)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold__sup__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold__sup__insert-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u14431) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14431), _u14432)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14431, _u14431, c_Lattices_Osemilattice__sup__class_Osup(_u14431)), _u14433), hAPP(hAPP(c_Set_Oinsert(_u14431), _u14434), _u14432)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14431), _u14434), hAPP(hAPP(c_Finite__Set_Ofold(_u14431, _u14431, c_Lattices_Osemilattice__sup__class_Osup(_u14431)), _u14433), _u14432))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold__inf__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold__inf__insert-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14435) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14435), _u14436)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14435, _u14435, c_Lattices_Osemilattice__inf__class_Oinf(_u14435)), _u14437), hAPP(hAPP(c_Set_Oinsert(_u14435), _u14438), _u14436)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14435), _u14438), hAPP(hAPP(c_Finite__Set_Ofold(_u14435, _u14435, c_Lattices_Osemilattice__inf__class_Oinf(_u14435)), _u14437), _u14436))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_Ofold__inf__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_Ofold__inf__insert-1, axiom, ( ~class_Orderings_Olinorder(_u14439) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14439), _u14440)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14439, _u14439, c_Orderings_Oord__class_Omin(_u14439)), _u14441), hAPP(hAPP(c_Set_Oinsert(_u14439), _u14442), _u14440)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14439), _u14442), hAPP(hAPP(c_Finite__Set_Ofold(_u14439, _u14439, c_Orderings_Oord__class_Omin(_u14439)), _u14441), _u14440))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_Ofold__sup__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_Ofold__sup__insert-1, axiom, ( ~class_Orderings_Olinorder(_u14443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14443), _u14444)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14443, _u14443, c_Orderings_Oord__class_Omax(_u14443)), _u14445), hAPP(hAPP(c_Set_Oinsert(_u14443), _u14446), _u14444)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14443), _u14446), hAPP(hAPP(c_Finite__Set_Ofold(_u14443, _u14443, c_Orderings_Oord__class_Omax(_u14443)), _u14445), _u14444))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm__idem_Ofold__insert__idem-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14447, _u14448, _u14449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14447), _u14450)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14447, _u14448, _u14449), _u14451), hAPP(hAPP(c_Set_Oinsert(_u14447), _u14452), _u14450)) = hAPP(hAPP(_u14449, _u14452), hAPP(hAPP(c_Finite__Set_Ofold(_u14447, _u14448, _u14449), _u14451), _u14450))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm__idem_Ofold__insert__idem2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm__idem_Ofold__insert__idem2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14453, _u14454, _u14455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14453), _u14456)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14453, _u14454, _u14455), _u14457), hAPP(hAPP(c_Set_Oinsert(_u14453), _u14458), _u14456)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14453, _u14454, _u14455), hAPP(hAPP(_u14455, _u14458), _u14457)), _u14456)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_sup__SUPR__fold__sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_sup__SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14460), _u14461)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14459), _u14462), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14460, _u14459), _u14461), _u14463)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14460, _u14459, hAPP(hAPP(c_COMBB(_u14459, tc_fun(_u14459, _u14459), _u14460), c_Lattices_Osemilattice__sup__class_Osup(_u14459)), _u14463)), _u14462), _u14461)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__one__idem_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__one__idem_Oeq__fold__idem_H-1, axiom, ( ~c_Finite__Set_Ofolding__one__idem(_u14464, _u14465, _u14466) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14464), _u14467)) | ( hAPP(_u14466, hAPP(hAPP(c_Set_Oinsert(_u14464), _u14468), _u14467)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14464, _u14464, _u14465), _u14468), _u14467)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_sup__le__fold__sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_sup__le__fold__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u14469) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14470)) | ~hBOOL(hAPP(hAPP(c_member(_u14469), _u14471), _u14470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14469), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14469), _u14471), _u14472)), hAPP(hAPP(c_Finite__Set_Ofold(_u14469, _u14469, c_Lattices_Osemilattice__sup__class_Osup(_u14469)), _u14472), _u14470))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold__inf__le__inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold__inf__le__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u14473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14473), _u14474)) | ~hBOOL(hAPP(hAPP(c_member(_u14473), _u14475), _u14474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14473), hAPP(hAPP(c_Finite__Set_Ofold(_u14473, _u14473, c_Lattices_Osemilattice__inf__class_Oinf(_u14473)), _u14476), _u14474)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14473), _u14475), _u14476))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_Ofold__inf__le__inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_Ofold__inf__le__inf-1, axiom, ( ~class_Orderings_Olinorder(_u14477) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14477), _u14478)) | ~hBOOL(hAPP(hAPP(c_member(_u14477), _u14479), _u14478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14477), hAPP(hAPP(c_Finite__Set_Ofold(_u14477, _u14477, c_Orderings_Oord__class_Omin(_u14477)), _u14480), _u14478)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14477), _u14479), _u14480))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_Osup__le__fold__sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_Osup__le__fold__sup-1, axiom, ( ~class_Orderings_Olinorder(_u14481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), _u14482)) | ~hBOOL(hAPP(hAPP(c_member(_u14481), _u14483), _u14482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14481), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14481), _u14483), _u14484)), hAPP(hAPP(c_Finite__Set_Ofold(_u14481, _u14481, c_Orderings_Oord__class_Omax(_u14481)), _u14484), _u14482))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold1__eq__fold__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold1__eq__fold__idem-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14485), _u14486)) | ( hAPP(c_Finite__Set_Ofold1(_u14485, c_Groups_Otimes__class_Otimes(_u14485)), hAPP(hAPP(c_Set_Oinsert(_u14485), _u14487), _u14486)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14485, _u14485, c_Groups_Otimes__class_Otimes(_u14485)), _u14487), _u14486)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u14488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14488), _u14489)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14488, hAPP(hAPP(c_Set_Oinsert(_u14488), _u14490), _u14489)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14488, _u14488, c_Lattices_Osemilattice__sup__class_Osup(_u14488)), _u14490), _u14489)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Lattices_Olattice(_u14491) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14491), _u14492)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14491, hAPP(hAPP(c_Set_Oinsert(_u14491), _u14493), _u14492)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14491, _u14491, c_Lattices_Osemilattice__inf__class_Oinf(_u14491)), _u14493), _u14492)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Min_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Min_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14494), _u14495)) | ( c_Big__Operators_Olinorder__class_OMin(_u14494, hAPP(hAPP(c_Set_Oinsert(_u14494), _u14496), _u14495)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14494, _u14494, c_Orderings_Oord__class_Omin(_u14494)), _u14496), _u14495)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Max_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Max_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14497) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14497), _u14498)) | ( c_Big__Operators_Olinorder__class_OMax(_u14497, hAPP(hAPP(c_Set_Oinsert(_u14497), _u14499), _u14498)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14497, _u14497, c_Orderings_Oord__class_Omax(_u14497)), _u14499), _u14498)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_OInf__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_OInf__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14500) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14500), _u14501)) | ( c_Big__Operators_Olattice_OInf__fin(_u14500, c_Orderings_Oord__class_Omin(_u14500), hAPP(hAPP(c_Set_Oinsert(_u14500), _u14502), _u14501)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14500, _u14500, c_Orderings_Oord__class_Omin(_u14500)), _u14502), _u14501)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_OSup__fin_Oeq__fold__idem_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_OSup__fin_Oeq__fold__idem_H-1, axiom, ( ~class_Orderings_Olinorder(_u14503) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14503), _u14504)) | ( c_Big__Operators_Olattice_OSup__fin(_u14503, c_Orderings_Oord__class_Omax(_u14503), hAPP(hAPP(c_Set_Oinsert(_u14503), _u14505), _u14504)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14503, _u14503, c_Orderings_Oord__class_Omax(_u14503)), _u14505), _u14504)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_minus__fold__remove ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_minus__fold__remove-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14506), _u14507)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14506, tc_HOL_Obool)), _u14508), _u14507) = hAPP(hAPP(c_Finite__Set_Ofold(_u14506, tc_fun(_u14506, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14506, tc_HOL_Obool), tc_fun(tc_fun(_u14506, tc_HOL_Obool), tc_fun(_u14506, tc_HOL_Obool)), _u14506), hAPP(c_COMBC(tc_fun(_u14506, tc_HOL_Obool), tc_fun(_u14506, tc_HOL_Obool), tc_fun(_u14506, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14506, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14506, tc_fun(_u14506, tc_HOL_Obool), tc_fun(_u14506, tc_HOL_Obool)), c_Set_Oinsert(_u14506)), c_Orderings_Obot__class_Obot(tc_fun(_u14506, tc_HOL_Obool))))), _u14508), _u14507)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__one_Oeq__fold_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__one_Oeq__fold_H-1, axiom, ( ~c_Finite__Set_Ofolding__one(_u14509, _u14510, _u14511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14509), _u14512)) | hBOOL(hAPP(hAPP(c_member(_u14509), _u14513), _u14512)) | ( hAPP(_u14511, hAPP(hAPP(c_Set_Oinsert(_u14509), _u14513), _u14512)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14509, _u14509, _u14510), _u14513), _u14512)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_SUPR__fold__sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_SUPR__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14515), _u14516)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14515, _u14514), _u14516), _u14517) = hAPP(hAPP(c_Finite__Set_Ofold(_u14515, _u14514, hAPP(hAPP(c_COMBB(_u14514, tc_fun(_u14514, _u14514), _u14515), c_Lattices_Osemilattice__sup__class_Osup(_u14514)), _u14517)), c_Orderings_Obot__class_Obot(_u14514)), _u14516)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold1__eq__fold ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold1__eq__fold-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14518), _u14519)) | hBOOL(hAPP(hAPP(c_member(_u14518), _u14520), _u14519)) | ( hAPP(c_Finite__Set_Ofold1(_u14518, c_Groups_Otimes__class_Otimes(_u14518)), hAPP(hAPP(c_Set_Oinsert(_u14518), _u14520), _u14519)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14518, _u14518, c_Groups_Otimes__class_Otimes(_u14518)), _u14520), _u14519)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u14521) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14521), _u14522)) | hBOOL(hAPP(hAPP(c_member(_u14521), _u14523), _u14522)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14521, hAPP(hAPP(c_Set_Oinsert(_u14521), _u14523), _u14522)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14521, _u14521, c_Lattices_Osemilattice__sup__class_Osup(_u14521)), _u14523), _u14522)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__fin_Oeq__fold_H-1, axiom, ( ~class_Lattices_Olattice(_u14524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14524), _u14525)) | hBOOL(hAPP(hAPP(c_member(_u14524), _u14526), _u14525)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14524, hAPP(hAPP(c_Set_Oinsert(_u14524), _u14526), _u14525)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14524, _u14524, c_Lattices_Osemilattice__inf__class_Oinf(_u14524)), _u14526), _u14525)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Min_Oeq__fold_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Min_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14527), _u14528)) | hBOOL(hAPP(hAPP(c_member(_u14527), _u14529), _u14528)) | ( c_Big__Operators_Olinorder__class_OMin(_u14527, hAPP(hAPP(c_Set_Oinsert(_u14527), _u14529), _u14528)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14527, _u14527, c_Orderings_Oord__class_Omin(_u14527)), _u14529), _u14528)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Max_Oeq__fold_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Max_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14530), _u14531)) | hBOOL(hAPP(hAPP(c_member(_u14530), _u14532), _u14531)) | ( c_Big__Operators_Olinorder__class_OMax(_u14530, hAPP(hAPP(c_Set_Oinsert(_u14530), _u14532), _u14531)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14530, _u14530, c_Orderings_Oord__class_Omax(_u14530)), _u14532), _u14531)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_OInf__fin_Oeq__fold_H ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_OInf__fin_Oeq__fold_H-1, axiom, ( ~class_Orderings_Olinorder(_u14533) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14533), _u14534)) | hBOOL(hAPP(hAPP(c_member(_u14533), _u14535), _u14534)) | ( c_Big__Operators_Olattice_OInf__fin(_u14533, c_Orderings_Oord__class_Omin(_u14533), hAPP(hAPP(c_Set_Oinsert(_u14533), _u14535), _u14534)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14533, _u14533, c_Orderings_Oord__class_Omin(_u14533)), _u14535), _u14534)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__rec ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__rec-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14536, _u14537, _u14538) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14536), _u14539)) | ~hBOOL(hAPP(hAPP(c_member(_u14536), _u14540), _u14539)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14536, _u14537, _u14538), _u14541), _u14539) = hAPP(hAPP(_u14538, _u14540), hAPP(hAPP(c_Finite__Set_Ofold(_u14536, _u14537, _u14538), _u14541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14536, tc_HOL_Obool)), _u14539), hAPP(hAPP(c_Set_Oinsert(_u14536), _u14540), c_Orderings_Obot__class_Obot(tc_fun(_u14536, tc_HOL_Obool))))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__insert__remove ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__insert__remove-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14542, _u14543, _u14544) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14542), _u14545)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14542, _u14543, _u14544), _u14546), hAPP(hAPP(c_Set_Oinsert(_u14542), _u14547), _u14545)) = hAPP(hAPP(_u14544, _u14547), hAPP(hAPP(c_Finite__Set_Ofold(_u14542, _u14543, _u14544), _u14546), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14542, tc_HOL_Obool)), _u14545), hAPP(hAPP(c_Set_Oinsert(_u14542), _u14547), c_Orderings_Obot__class_Obot(tc_fun(_u14542, tc_HOL_Obool))))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofun__comp__comm ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofun__comp__comm-1, axiom, ( ( hAPP(c_Fun_Ocomp(_u14549, _u14549, _u14549, hAPP(_u14550, _u14551)), hAPP(_u14550, _u14552)) = hAPP(c_Fun_Ocomp(_u14549, _u14549, _u14549, hAPP(_u14550, _u14552)), hAPP(_u14550, _u14551))) | ~c_Finite__Set_Ofun__left__comm(_u14548, _u14549, _u14550) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__graph__determ ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__graph__determ-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14553, _u14554, _u14555) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14553, _u14554, _u14555, _u14556, _u14557), _u14558)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14553, _u14554, _u14555, _u14556, _u14557), _u14559)) | ( _u14559 = _u14558) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm-1, axiom, ( ~class_Groups_Oab__semigroup__mult(_u14560) | c_Finite__Set_Ofun__left__comm(_u14560, _u14560, c_Groups_Otimes__class_Otimes(_u14560)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofun__left__comm ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofun__left__comm-1, axiom, ( ( hAPP(hAPP(_u14563, _u14564), hAPP(hAPP(_u14563, _u14565), _u14566)) = hAPP(hAPP(_u14563, _u14565), hAPP(hAPP(_u14563, _u14564), _u14566))) | ~c_Finite__Set_Ofun__left__comm(_u14561, _u14562, _u14563) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofun__left__comm__apply ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofun__left__comm__apply-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14567, _u14568, _u14569) | c_Finite__Set_Ofun__left__comm(_u14570, _u14568, hAPP(hAPP(c_COMBB(_u14567, tc_fun(_u14568, _u14568), _u14570), _u14569), _u14571)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__fun__comm ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__fun__comm-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14572, _u14573, _u14574) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14572), _u14575)) | ( hAPP(hAPP(_u14574, _u14576), hAPP(hAPP(c_Finite__Set_Ofold(_u14572, _u14573, _u14574), _u14577), _u14575)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14572, _u14573, _u14574), hAPP(hAPP(_u14574, _u14576), _u14577)), _u14575)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__equality ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__equality-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14578, _u14579, _u14580) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14578, _u14579, _u14580, _u14581, _u14582), _u14583)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14578, _u14579, _u14580), _u14581), _u14582) = _u14583) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__graph__fold ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__graph__fold-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14584, _u14585, _u14586) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14584), _u14587)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14584, _u14585, _u14586, _u14588, _u14587), hAPP(hAPP(c_Finite__Set_Ofold(_u14584, _u14585, _u14586), _u14588), _u14587))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__insert2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__insert2-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14589, _u14590, _u14591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14589), _u14592)) | hBOOL(hAPP(hAPP(c_member(_u14589), _u14593), _u14592)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14589, _u14590, _u14591), _u14594), hAPP(hAPP(c_Set_Oinsert(_u14589), _u14593), _u14592)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14589, _u14590, _u14591), hAPP(hAPP(_u14591, _u14593), _u14594)), _u14592)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__insert-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14595, _u14596, _u14597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14595), _u14598)) | hBOOL(hAPP(hAPP(c_member(_u14595), _u14599), _u14598)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14595, _u14596, _u14597), _u14600), hAPP(hAPP(c_Set_Oinsert(_u14595), _u14599), _u14598)) = hAPP(hAPP(_u14597, _u14599), hAPP(hAPP(c_Finite__Set_Ofold(_u14595, _u14596, _u14597), _u14600), _u14598))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__graph__insertE__aux ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14602, _u14603, _u14604) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14602, _u14603, _u14604, _u14605, _u14606), _u14607)) | ~hBOOL(hAPP(hAPP(c_member(_u14602), _u14608), _u14606)) | ( _u14607 = hAPP(hAPP(_u14604, _u14608), skolem374(_u14608, _u14607, _u14606, _u14605, _u14604, _u14603, _u14602))) )).
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__graph__insertE__aux-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u14602, _u14603, _u14604) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14602, _u14603, _u14604, _u14605, _u14606), _u14607)) | ~hBOOL(hAPP(hAPP(c_member(_u14602), _u14608), _u14606)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14602, _u14603, _u14604, _u14605, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14602, tc_HOL_Obool)), _u14606), hAPP(hAPP(c_Set_Oinsert(_u14602), _u14608), c_Orderings_Obot__class_Obot(tc_fun(_u14602, tc_HOL_Obool))))), skolem374(_u14608, _u14607, _u14606, _u14605, _u14604, _u14603, _u14602))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INFI__fold__inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14610), _u14611)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14610, _u14609), _u14611), _u14612) = hAPP(hAPP(c_Finite__Set_Ofold(_u14610, _u14609, hAPP(hAPP(c_COMBB(_u14609, tc_fun(_u14609, _u14609), _u14610), c_Lattices_Osemilattice__inf__class_Oinf(_u14609)), _u14612)), c_Orderings_Otop__class_Otop(_u14609)), _u14611)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF1__D ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF1__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14613, tc_fun(_u14614, tc_HOL_Obool)), _u14615), _u14616), _u14617)) | ~hBOOL(hAPP(hAPP(c_member(_u14613), _u14618), _u14615)) | hBOOL(hAPP(hAPP(_u14616, _u14618), _u14617)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF1__E ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF1__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14619, tc_fun(_u14620, tc_HOL_Obool)), _u14621), _u14622), _u14623)) | hBOOL(hAPP(hAPP(_u14622, _u14624), _u14623)) | ~hBOOL(hAPP(hAPP(c_member(_u14619), _u14624), _u14621)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__E ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14625), _u14626), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14627, tc_fun(_u14625, tc_HOL_Obool)), _u14628), _u14629))) | hBOOL(hAPP(hAPP(c_member(_u14625), _u14626), hAPP(_u14629, _u14630))) | ~hBOOL(hAPP(hAPP(c_member(_u14627), _u14630), _u14628)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__D ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__D-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14631), _u14632), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14633, tc_fun(_u14631, tc_HOL_Obool)), _u14634), _u14635))) | ~hBOOL(hAPP(hAPP(c_member(_u14633), _u14636), _u14634)) | hBOOL(hAPP(hAPP(c_member(_u14631), _u14632), hAPP(_u14635, _u14636))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF2__D ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF2__D-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14637, tc_fun(_u14638, tc_fun(_u14639, tc_HOL_Obool))), _u14640), _u14641), _u14642), _u14643)) | ~hBOOL(hAPP(hAPP(c_member(_u14637), _u14644), _u14640)) | hBOOL(hAPP(hAPP(hAPP(_u14641, _u14644), _u14642), _u14643)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF2__E ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14645, tc_fun(_u14646, tc_fun(_u14647, tc_HOL_Obool))), _u14648), _u14649), _u14650), _u14651)) | hBOOL(hAPP(hAPP(hAPP(_u14649, _u14652), _u14650), _u14651)) | ~hBOOL(hAPP(hAPP(c_member(_u14645), _u14652), _u14648)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__INT ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__INT-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14654), _u14653), _u14655)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14656), hAPP(_u14657, _u14653))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14656), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14654, tc_fun(_u14656, tc_HOL_Obool)), _u14655), _u14657))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Compl__INT ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Compl__INT-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14658, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14659, tc_fun(_u14658, tc_HOL_Obool)), _u14660), _u14661)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14659, tc_fun(_u14658, tc_HOL_Obool)), _u14660), hAPP(hAPP(c_COMBB(tc_fun(_u14658, tc_HOL_Obool), tc_fun(_u14658, tc_HOL_Obool), _u14659), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14658, tc_HOL_Obool))), _u14661))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Compl__UN ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Compl__UN-1, axiom, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14662, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14663, tc_fun(_u14662, tc_HOL_Obool)), _u14664), _u14665)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14663, tc_fun(_u14662, tc_HOL_Obool)), _u14664), hAPP(hAPP(c_COMBB(tc_fun(_u14662, tc_HOL_Obool), tc_fun(_u14662, tc_HOL_Obool), _u14663), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14662, tc_HOL_Obool))), _u14665))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UN__simps_I7_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UN__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14666, tc_fun(_u14667, tc_HOL_Obool)), _u14668), hAPP(hAPP(c_COMBB(tc_fun(_u14667, tc_HOL_Obool), tc_fun(_u14667, tc_HOL_Obool), _u14666), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14667, tc_HOL_Obool)), _u14669)), _u14670)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14667, tc_HOL_Obool)), _u14669), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14666, tc_fun(_u14667, tc_HOL_Obool)), _u14668), _u14670))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UN__extend__simps_I7_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UN__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14671, tc_HOL_Obool)), _u14672), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14673, tc_fun(_u14671, tc_HOL_Obool)), _u14674), _u14675)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14673, tc_fun(_u14671, tc_HOL_Obool)), _u14674), hAPP(hAPP(c_COMBB(tc_fun(_u14671, tc_HOL_Obool), tc_fun(_u14671, tc_HOL_Obool), _u14673), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14671, tc_HOL_Obool)), _u14672)), _u14675))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I9_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14676, tc_fun(_u14677, tc_HOL_Obool)), _u14678), hAPP(hAPP(c_COMBC(_u14676, tc_fun(_u14679, tc_fun(_u14677, tc_HOL_Obool)), tc_fun(_u14677, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14679, tc_HOL_Obool), tc_fun(tc_fun(_u14679, tc_fun(_u14677, tc_HOL_Obool)), tc_fun(_u14677, tc_HOL_Obool)), _u14676), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14679, tc_fun(_u14677, tc_HOL_Obool))), _u14680)), _u14681)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14679, tc_fun(_u14677, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14676, tc_fun(_u14679, tc_HOL_Obool)), _u14678), _u14680)), _u14681)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I9_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I9_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14682, tc_fun(_u14683, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14684, tc_fun(_u14682, tc_HOL_Obool)), _u14685), _u14686)), _u14687) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14684, tc_fun(_u14683, tc_HOL_Obool)), _u14685), hAPP(hAPP(c_COMBC(_u14684, tc_fun(_u14682, tc_fun(_u14683, tc_HOL_Obool)), tc_fun(_u14683, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14682, tc_HOL_Obool), tc_fun(tc_fun(_u14682, tc_fun(_u14683, tc_HOL_Obool)), tc_fun(_u14683, tc_HOL_Obool)), _u14684), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14682, tc_fun(_u14683, tc_HOL_Obool))), _u14686)), _u14687))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converse__INTER ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converse__INTER-1, axiom, ( ( hAPP(c_Relation_Oconverse(_u14688, _u14689), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14690, tc_fun(tc_prod(_u14688, _u14689), tc_HOL_Obool)), _u14691), _u14692)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14690, tc_fun(tc_prod(_u14689, _u14688), tc_HOL_Obool)), _u14691), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14688, _u14689), tc_HOL_Obool), tc_fun(tc_prod(_u14689, _u14688), tc_HOL_Obool), _u14690), c_Relation_Oconverse(_u14688, _u14689)), _u14692))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I1_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I1_J-1, axiom, ( ( _u14698 != c_Orderings_Obot__class_Obot(tc_fun(_u14700, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14702, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14700, tc_fun(_u14702, tc_HOL_Obool)), _u14698), _u14704)), _u14706) = _u14706) )).
% 43.37/43.59 cnf(fact_INT__extend__simps_I1_J-2, axiom, ( ( _u14699 = c_Orderings_Obot__class_Obot(tc_fun(_u14701, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14703, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14701, tc_fun(_u14703, tc_HOL_Obool)), _u14699), _u14705)), _u14707) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14701, tc_fun(_u14703, tc_HOL_Obool)), _u14699), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14703, tc_HOL_Obool), tc_fun(_u14703, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14703, tc_HOL_Obool), tc_fun(tc_fun(_u14703, tc_HOL_Obool), tc_fun(_u14703, tc_HOL_Obool)), _u14701), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14703, tc_HOL_Obool))), _u14705)), _u14707))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I2_J-1, axiom, ( ( _u14713 != c_Orderings_Obot__class_Obot(tc_fun(_u14715, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14717, tc_HOL_Obool)), _u14719), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14715, tc_fun(_u14717, tc_HOL_Obool)), _u14713), _u14721)) = _u14719) )).
% 43.37/43.59 cnf(fact_INT__extend__simps_I2_J-2, 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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14716, tc_fun(_u14718, tc_HOL_Obool)), _u14714), hAPP(hAPP(c_COMBB(tc_fun(_u14718, tc_HOL_Obool), tc_fun(_u14718, tc_HOL_Obool), _u14716), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14718, tc_HOL_Obool)), _u14720)), _u14722))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__insert-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14723, tc_fun(_u14724, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u14723), _u14725), _u14726)), _u14727) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14724, tc_HOL_Obool)), hAPP(_u14727, _u14725)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14723, tc_fun(_u14724, tc_HOL_Obool)), _u14726), _u14727))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF__const ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF__const-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14728) | ( _u14729 = c_Orderings_Obot__class_Obot(tc_fun(_u14730, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14730, _u14728), _u14729), hAPP(c_COMBK(_u14728, _u14730), _u14731)) = _u14731) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__absorb ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__absorb-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14732), _u14733), _u14734)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14735, tc_HOL_Obool)), hAPP(_u14736, _u14733)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14732, tc_fun(_u14735, tc_HOL_Obool)), _u14734), _u14736)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14732, tc_fun(_u14735, tc_HOL_Obool)), _u14734), _u14736)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF__INT__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF__INT__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14741, tc_fun(_u14743, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14741, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14743, tc_HOL_Obool), tc_fun(_u14743, tc_HOL_Obool), _u14741), hAPP(c_COMBC(_u14743, tc_fun(_u14743, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14743))), _u14745)), _u14747)) | hBOOL(hAPP(hAPP(c_member(_u14743), _u14747), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14741, tc_fun(_u14743, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14741, tc_HOL_Obool))), _u14745))) )).
% 43.37/43.59 cnf(fact_INF__INT__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14744), _u14748), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14742, tc_fun(_u14744, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14742, tc_HOL_Obool))), _u14746))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14742, tc_fun(_u14744, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14742, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_HOL_Obool), tc_fun(_u14744, tc_HOL_Obool), _u14742), hAPP(c_COMBC(_u14744, tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14744))), _u14746)), _u14748)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14756), _u14758), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14760, tc_fun(_u14756, tc_HOL_Obool)), _u14762), _u14764))) | ~hBOOL(hAPP(hAPP(c_member(_u14760), _u14749), _u14762)) | hBOOL(hAPP(hAPP(c_member(_u14756), _u14758), hAPP(_u14764, _u14749))) )).
% 43.37/43.59 cnf(fact_INT__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14757), _u14759), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14761, tc_fun(_u14757, tc_HOL_Obool)), _u14763), _u14765))) | hBOOL(hAPP(hAPP(c_member(_u14761), skolem375(_u14765, _u14763, _u14761, _u14759, _u14757)), _u14763)) )).
% 43.37/43.59 cnf(fact_INT__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u14757), _u14759), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14761, tc_fun(_u14757, tc_HOL_Obool)), _u14763), _u14765))) | ~hBOOL(hAPP(hAPP(c_member(_u14757), _u14759), hAPP(_u14765, skolem375(_u14765, _u14763, _u14761, _u14759, _u14757)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF__INT__eq2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF__INT__eq2-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14772, tc_fun(_u14774, tc_fun(_u14776, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14772, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_fun(_u14774, tc_fun(_u14776, tc_HOL_Obool)), _u14772), hAPP(c_COMBC(_u14774, tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_fun(_u14776, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14776, tc_fun(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_fun(_u14776, tc_HOL_Obool)), _u14774), c_COMBC(_u14776, tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14776, tc_prod(_u14774, _u14776)), tc_fun(_u14776, tc_fun(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_HOL_Obool)), _u14774), hAPP(c_COMBB(tc_prod(_u14774, _u14776), tc_fun(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_HOL_Obool), _u14776), c_member(tc_prod(_u14774, _u14776)))), c_Product__Type_OPair(_u14774, _u14776))))), _u14778)), _u14780), _u14782)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14776)), hAPP(hAPP(c_Product__Type_OPair(_u14774, _u14776), _u14780), _u14782)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14772, tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14772, tc_HOL_Obool))), _u14778))) )).
% 43.37/43.59 cnf(fact_INF__INT__eq2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14775, _u14777)), hAPP(hAPP(c_Product__Type_OPair(_u14775, _u14777), _u14781), _u14783)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14773, tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14773, tc_HOL_Obool))), _u14779))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14773, tc_fun(_u14775, tc_fun(_u14777, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14773, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_fun(_u14775, tc_fun(_u14777, tc_HOL_Obool)), _u14773), hAPP(c_COMBC(_u14775, tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_fun(_u14777, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14777, tc_fun(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_fun(_u14777, tc_HOL_Obool)), _u14775), c_COMBC(_u14777, tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14777, tc_prod(_u14775, _u14777)), tc_fun(_u14777, tc_fun(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_HOL_Obool)), _u14775), hAPP(c_COMBB(tc_prod(_u14775, _u14777), tc_fun(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_HOL_Obool), _u14777), c_member(tc_prod(_u14775, _u14777)))), c_Product__Type_OPair(_u14775, _u14777))))), _u14779)), _u14781), _u14783)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INTER__UNIV__conv_I1_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INTER__UNIV__conv_I1_J-1, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14790, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14792, tc_fun(_u14790, tc_HOL_Obool)), _u14794), _u14796)) | ~hBOOL(hAPP(hAPP(c_member(_u14792), _u14784), _u14794)) | ( hAPP(_u14796, _u14784) = c_Orderings_Otop__class_Otop(tc_fun(_u14790, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_INTER__UNIV__conv_I1_J-2, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14791, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14793, tc_fun(_u14791, tc_HOL_Obool)), _u14795), _u14797)) | hBOOL(hAPP(hAPP(c_member(_u14793), skolem376(_u14797, _u14795, _u14793, _u14791)), _u14795)) )).
% 43.37/43.59 cnf(fact_INTER__UNIV__conv_I1_J-3, axiom, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14791, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14793, tc_fun(_u14791, tc_HOL_Obool)), _u14795), _u14797)) | ( hAPP(_u14797, skolem376(_u14797, _u14795, _u14793, _u14791)) != c_Orderings_Otop__class_Otop(tc_fun(_u14791, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INTER__UNIV__conv_I2_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INTER__UNIV__conv_I2_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14804, tc_fun(_u14806, tc_HOL_Obool)), _u14808), _u14810) != c_Orderings_Otop__class_Otop(tc_fun(_u14806, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14804), _u14798), _u14808)) | ( hAPP(_u14810, _u14798) = c_Orderings_Otop__class_Otop(tc_fun(_u14806, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_INTER__UNIV__conv_I2_J-2, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14805, tc_fun(_u14807, tc_HOL_Obool)), _u14809), _u14811) = c_Orderings_Otop__class_Otop(tc_fun(_u14807, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14805), skolem377(_u14811, _u14809, _u14807, _u14805)), _u14809)) )).
% 43.37/43.59 cnf(fact_INTER__UNIV__conv_I2_J-3, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14805, tc_fun(_u14807, tc_HOL_Obool)), _u14809), _u14811) = c_Orderings_Otop__class_Otop(tc_fun(_u14807, tc_HOL_Obool))) | ( hAPP(_u14811, skolem377(_u14811, _u14809, _u14807, _u14805)) != c_Orderings_Otop__class_Otop(tc_fun(_u14807, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__Int__distrib ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__Int__distrib-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14812, tc_fun(_u14813, tc_HOL_Obool)), _u14814), hAPP(hAPP(c_COMBS(_u14812, tc_fun(_u14813, tc_HOL_Obool), tc_fun(_u14813, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14813, tc_HOL_Obool), tc_fun(tc_fun(_u14813, tc_HOL_Obool), tc_fun(_u14813, tc_HOL_Obool)), _u14812), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14813, tc_HOL_Obool))), _u14815)), _u14816)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14813, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14812, tc_fun(_u14813, tc_HOL_Obool)), _u14814), _u14815)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14812, tc_fun(_u14813, tc_HOL_Obool)), _u14814), _u14816))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INFI__apply ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INFI__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14817) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14818, tc_fun(_u14819, _u14817)), _u14820), _u14821), _u14822) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14818, _u14817), _u14820), hAPP(hAPP(c_COMBC(_u14818, _u14819, _u14817), _u14821), _u14822))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF__commute ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF__commute-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14824, _u14823), _u14825), hAPP(hAPP(c_COMBB(tc_fun(_u14826, _u14823), _u14823, _u14824), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14826, _u14823), _u14827)), _u14828)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14826, _u14823), _u14827), hAPP(hAPP(c_COMBB(tc_fun(_u14824, _u14823), _u14823, _u14826), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14824, _u14823), _u14825)), hAPP(c_COMBC(_u14824, _u14826, _u14823), _u14828)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Pow__INT__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Pow__INT__eq-1, axiom, ( ( hAPP(c_Set_OPow(_u14829), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14830, tc_fun(_u14829, tc_HOL_Obool)), _u14831), _u14832)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14830, tc_fun(tc_fun(_u14829, tc_HOL_Obool), tc_HOL_Obool)), _u14831), hAPP(hAPP(c_COMBB(tc_fun(_u14829, tc_HOL_Obool), tc_fun(tc_fun(_u14829, tc_HOL_Obool), tc_HOL_Obool), _u14830), c_Set_OPow(_u14829)), _u14832))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I5_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Set_Oinsert(_u14833), _u14834), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14835, tc_fun(_u14833, tc_HOL_Obool)), _u14836), _u14837)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14835, tc_fun(_u14833, tc_HOL_Obool)), _u14836), hAPP(hAPP(c_COMBB(tc_fun(_u14833, tc_HOL_Obool), tc_fun(_u14833, tc_HOL_Obool), _u14835), hAPP(c_Set_Oinsert(_u14833), _u14834)), _u14837))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I5_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I5_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14838, tc_fun(_u14839, tc_HOL_Obool)), _u14840), hAPP(hAPP(c_COMBB(tc_fun(_u14839, tc_HOL_Obool), tc_fun(_u14839, tc_HOL_Obool), _u14838), hAPP(c_Set_Oinsert(_u14839), _u14841)), _u14842)) = hAPP(hAPP(c_Set_Oinsert(_u14839), _u14841), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14838, tc_fun(_u14839, tc_HOL_Obool)), _u14840), _u14842))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I10_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14843, tc_fun(_u14844, tc_HOL_Obool)), _u14845), hAPP(hAPP(c_COMBB(_u14846, tc_fun(_u14844, tc_HOL_Obool), _u14843), _u14847), _u14848)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14846, tc_fun(_u14844, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14843, _u14846, _u14848), _u14845)), _u14847)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I10_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I10_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14849, tc_fun(_u14850, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14851, _u14849, _u14852), _u14853)), _u14854) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14851, tc_fun(_u14850, tc_HOL_Obool)), _u14853), hAPP(hAPP(c_COMBB(_u14849, tc_fun(_u14850, tc_HOL_Obool), _u14851), _u14854), _u14852))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_vimage__INT ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_vimage__INT-1, axiom, ( ( hAPP(c_Set_Ovimage(_u14855, _u14856, _u14857), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14858, tc_fun(_u14856, tc_HOL_Obool)), _u14859), _u14860)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14858, tc_fun(_u14855, tc_HOL_Obool)), _u14859), hAPP(hAPP(c_COMBB(tc_fun(_u14856, tc_HOL_Obool), tc_fun(_u14855, tc_HOL_Obool), _u14858), c_Set_Ovimage(_u14855, _u14856, _u14857)), _u14860))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INFI__bool__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INFI__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14861, tc_HOL_Obool) = c_Set_OBall(_u14861)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__insert__distrib ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__insert__distrib-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14862), _u14863), _u14864)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14862, tc_fun(_u14865, tc_HOL_Obool)), _u14864), hAPP(hAPP(c_COMBB(tc_fun(_u14865, tc_HOL_Obool), tc_fun(_u14865, tc_HOL_Obool), _u14862), hAPP(c_Set_Oinsert(_u14865), _u14866)), _u14867)) = hAPP(hAPP(c_Set_Oinsert(_u14865), _u14866), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14862, tc_fun(_u14865, tc_HOL_Obool)), _u14864), _u14867))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__empty-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14868, tc_fun(_u14869, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14868, tc_HOL_Obool))), _u14870) = c_Orderings_Otop__class_Otop(tc_fun(_u14869, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__constant ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__constant-1, axiom, ( ( _u14875 != c_Orderings_Obot__class_Obot(tc_fun(_u14877, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14877, tc_fun(_u14879, tc_HOL_Obool)), _u14875), hAPP(c_COMBK(tc_fun(_u14879, tc_HOL_Obool), _u14877), _u14881)) = c_Orderings_Otop__class_Otop(tc_fun(_u14879, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_INT__constant-2, 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(c_COMBK(tc_fun(_u14880, tc_HOL_Obool), _u14878), _u14882)) = _u14882) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__Un ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__Un-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14883, tc_fun(_u14884, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14883, tc_HOL_Obool)), _u14885), _u14886)), _u14887) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14884, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14883, tc_fun(_u14884, tc_HOL_Obool)), _u14885), _u14887)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14883, tc_fun(_u14884, tc_HOL_Obool)), _u14886), _u14887))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Collect__ball__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Collect__ball__eq-1, axiom, ( ( hAPP(c_Set_OCollect(_u14888), hAPP(hAPP(c_COMBB(tc_fun(_u14889, tc_HOL_Obool), tc_HOL_Obool, _u14888), c_HOL_OAll(_u14889)), hAPP(hAPP(c_COMBB(tc_fun(_u14889, tc_HOL_Obool), tc_fun(_u14889, tc_HOL_Obool), _u14888), hAPP(c_COMBS(_u14889, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14889), c_fimplies), hAPP(hAPP(c_COMBC(_u14889, tc_fun(_u14889, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14889)), _u14890)))), _u14891))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14889, tc_fun(_u14888, tc_HOL_Obool)), _u14890), hAPP(hAPP(c_COMBB(tc_fun(_u14888, tc_HOL_Obool), tc_fun(_u14888, tc_HOL_Obool), _u14889), c_Set_OCollect(_u14888)), hAPP(c_COMBC(_u14888, _u14889, tc_HOL_Obool), _u14891)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__lower ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u14892), _u14893), _u14894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14895, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14892, tc_fun(_u14895, tc_HOL_Obool)), _u14894), _u14896)), hAPP(_u14896, _u14893))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__subset__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__subset__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14904, tc_HOL_Obool)), _u14906), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14908, tc_fun(_u14904, tc_HOL_Obool)), _u14910), _u14912))) | ~hBOOL(hAPP(hAPP(c_member(_u14908), _u14897), _u14910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14904, tc_HOL_Obool)), _u14906), hAPP(_u14912, _u14897))) )).
% 43.37/43.59 cnf(fact_INT__subset__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14905, tc_HOL_Obool)), _u14907), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14909, tc_fun(_u14905, tc_HOL_Obool)), _u14911), _u14913))) | hBOOL(hAPP(hAPP(c_member(_u14909), skolem378(_u14913, _u14911, _u14909, _u14907, _u14905)), _u14911)) )).
% 43.37/43.59 cnf(fact_INT__subset__iff-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14905, tc_HOL_Obool)), _u14907), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14909, tc_fun(_u14905, tc_HOL_Obool)), _u14911), _u14913))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14905, tc_HOL_Obool)), _u14907), hAPP(_u14913, skolem378(_u14913, _u14911, _u14909, _u14907, _u14905)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I7_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14914, tc_fun(_u14915, tc_HOL_Obool)), _u14916), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool), _u14914), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14915, tc_HOL_Obool)), _u14917)), _u14918)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14915, tc_HOL_Obool)), _u14917), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14914, tc_fun(_u14915, tc_HOL_Obool)), _u14916), _u14918))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I6_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14919, tc_fun(_u14920, tc_HOL_Obool)), _u14921), hAPP(hAPP(c_COMBC(_u14919, tc_fun(_u14920, tc_HOL_Obool), tc_fun(_u14920, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14920, tc_HOL_Obool), tc_fun(tc_fun(_u14920, tc_HOL_Obool), tc_fun(_u14920, tc_HOL_Obool)), _u14919), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14920, tc_HOL_Obool))), _u14922)), _u14923)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14920, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14919, tc_fun(_u14920, tc_HOL_Obool)), _u14921), _u14922)), _u14923)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I7_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I7_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14924, tc_HOL_Obool)), _u14925), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14926, tc_fun(_u14924, tc_HOL_Obool)), _u14927), _u14928)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14926, tc_fun(_u14924, tc_HOL_Obool)), _u14927), hAPP(hAPP(c_COMBB(tc_fun(_u14924, tc_HOL_Obool), tc_fun(_u14924, tc_HOL_Obool), _u14926), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14924, tc_HOL_Obool)), _u14925)), _u14928))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Un__INT__distrib ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Un__INT__distrib-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14929, tc_HOL_Obool)), _u14930), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14931, tc_fun(_u14929, tc_HOL_Obool)), _u14932), _u14933)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14931, tc_fun(_u14929, tc_HOL_Obool)), _u14932), hAPP(hAPP(c_COMBB(tc_fun(_u14929, tc_HOL_Obool), tc_fun(_u14929, tc_HOL_Obool), _u14931), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14929, tc_HOL_Obool)), _u14930)), _u14933))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I6_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I6_J-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14934, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14935, tc_fun(_u14934, tc_HOL_Obool)), _u14936), _u14937)), _u14938) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14935, tc_fun(_u14934, tc_HOL_Obool)), _u14936), hAPP(hAPP(c_COMBC(_u14935, tc_fun(_u14934, tc_HOL_Obool), tc_fun(_u14934, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14934, tc_HOL_Obool), tc_fun(tc_fun(_u14934, tc_HOL_Obool), tc_fun(_u14934, tc_HOL_Obool)), _u14935), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14934, tc_HOL_Obool))), _u14937)), _u14938))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Un__INT__distrib2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Un__INT__distrib2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14939, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14940, tc_fun(_u14939, tc_HOL_Obool)), _u14941), _u14942)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14943, tc_fun(_u14939, tc_HOL_Obool)), _u14944), _u14945)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14940, tc_fun(_u14939, tc_HOL_Obool)), _u14941), hAPP(hAPP(c_COMBB(tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool)), tc_fun(_u14939, tc_HOL_Obool), _u14940), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14943, tc_fun(_u14939, tc_HOL_Obool)), _u14944)), hAPP(hAPP(c_COMBC(_u14940, tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool)), tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14939, tc_HOL_Obool), tc_fun(_u14939, tc_HOL_Obool)), tc_fun(tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool)), tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool))), _u14940), c_COMBB(tc_fun(_u14939, tc_HOL_Obool), tc_fun(_u14939, tc_HOL_Obool), _u14943)), hAPP(hAPP(c_COMBB(tc_fun(_u14939, tc_HOL_Obool), tc_fun(tc_fun(_u14939, tc_HOL_Obool), tc_fun(_u14939, tc_HOL_Obool)), _u14940), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14939, tc_HOL_Obool))), _u14942))), _u14945)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF__less__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14948) | ~class_Orderings_Olinorder(_u14948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14949, _u14948), _u14950), _u14951)), _u14952)) | hBOOL(hAPP(hAPP(c_member(_u14949), skolem379(_u14952, _u14951, _u14950, _u14949, _u14948)), _u14950)) )).
% 43.37/43.59 cnf(fact_INF__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14948) | ~class_Orderings_Olinorder(_u14948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14949, _u14948), _u14950), _u14951)), _u14952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(_u14951, skolem379(_u14952, _u14951, _u14950, _u14949, _u14948))), _u14952)) )).
% 43.37/43.59 cnf(fact_INF__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14948) | ~class_Orderings_Olinorder(_u14948) | ~hBOOL(hAPP(hAPP(c_member(_u14949), _u14947), _u14950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(_u14951, _u14947)), _u14952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14949, _u14948), _u14950), _u14951)), _u14952)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_le__INF__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_le__INF__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14957, _u14955), _u14958), _u14959))) | ~hBOOL(hAPP(hAPP(c_member(_u14957), _u14953), _u14958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(_u14959, _u14953))) )).
% 43.37/43.59 cnf(fact_le__INF__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14957, _u14955), _u14958), _u14959))) | hBOOL(hAPP(hAPP(c_member(_u14957), skolem380(_u14959, _u14958, _u14957, _u14956, _u14955)), _u14958)) )).
% 43.37/43.59 cnf(fact_le__INF__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14957, _u14955), _u14958), _u14959))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(_u14959, skolem380(_u14959, _u14958, _u14957, _u14956, _u14955)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Image__INT__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Image__INT__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14960, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14961, _u14960, _u14962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14963, tc_fun(_u14961, tc_HOL_Obool)), _u14964), _u14965))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14963, tc_fun(_u14960, tc_HOL_Obool)), _u14964), hAPP(hAPP(c_COMBB(tc_fun(_u14961, tc_HOL_Obool), tc_fun(_u14960, tc_HOL_Obool), _u14963), c_Relation_OImage(_u14961, _u14960, _u14962)), _u14965)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF__subset-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14967, tc_HOL_Obool)), _u14968), _u14969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14966), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14967, _u14966), _u14969), _u14970)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14967, _u14966), _u14968), _u14970))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INTER__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INTER__def-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14971, tc_fun(_u14972, tc_HOL_Obool)), _u14973), _u14974) = hAPP(c_Set_OCollect(_u14972), hAPP(hAPP(c_COMBB(tc_fun(_u14971, tc_HOL_Obool), tc_HOL_Obool, _u14972), c_HOL_OAll(_u14971)), hAPP(hAPP(c_COMBB(tc_fun(_u14971, tc_HOL_Obool), tc_fun(_u14971, tc_HOL_Obool), _u14972), hAPP(c_COMBS(_u14971, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14971), c_fimplies), hAPP(hAPP(c_COMBC(_u14971, tc_fun(_u14971, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14971)), _u14973)))), hAPP(hAPP(c_COMBC(_u14972, tc_fun(_u14971, tc_fun(_u14972, tc_HOL_Obool)), tc_fun(_u14971, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14972, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14971, tc_fun(_u14972, tc_HOL_Obool)), tc_fun(_u14971, tc_HOL_Obool)), _u14972), c_COMBB(tc_fun(_u14972, tc_HOL_Obool), tc_HOL_Obool, _u14971)), c_member(_u14972))), _u14974))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I2_J-1, axiom, ( ( _u14980 != c_Orderings_Obot__class_Obot(tc_fun(_u14982, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14982, tc_fun(_u14984, tc_HOL_Obool)), _u14980), hAPP(hAPP(c_COMBB(tc_fun(_u14984, tc_HOL_Obool), tc_fun(_u14984, tc_HOL_Obool), _u14982), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14984, tc_HOL_Obool)), _u14986)), _u14988)) = c_Orderings_Otop__class_Otop(tc_fun(_u14984, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_INT__simps_I2_J-2, axiom, ( ( _u14981 = c_Orderings_Obot__class_Obot(tc_fun(_u14983, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14983, tc_fun(_u14985, tc_HOL_Obool)), _u14981), hAPP(hAPP(c_COMBB(tc_fun(_u14985, tc_HOL_Obool), tc_fun(_u14985, tc_HOL_Obool), _u14983), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14985, tc_HOL_Obool)), _u14987)), _u14989)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14985, tc_HOL_Obool)), _u14987), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14983, tc_fun(_u14985, tc_HOL_Obool)), _u14981), _u14989))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I1_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I1_J-1, axiom, ( ( _u14995 != c_Orderings_Obot__class_Obot(tc_fun(_u14997, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14997, tc_fun(_u14999, tc_HOL_Obool)), _u14995), hAPP(hAPP(c_COMBC(_u14997, tc_fun(_u14999, tc_HOL_Obool), tc_fun(_u14999, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14999, tc_HOL_Obool), tc_fun(tc_fun(_u14999, tc_HOL_Obool), tc_fun(_u14999, tc_HOL_Obool)), _u14997), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14999, tc_HOL_Obool))), _u15001)), _u15003)) = c_Orderings_Otop__class_Otop(tc_fun(_u14999, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_INT__simps_I1_J-2, axiom, ( ( _u14996 = c_Orderings_Obot__class_Obot(tc_fun(_u14998, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14998, tc_fun(_u15000, tc_HOL_Obool)), _u14996), hAPP(hAPP(c_COMBC(_u14998, tc_fun(_u15000, tc_HOL_Obool), tc_fun(_u15000, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15000, tc_HOL_Obool), tc_fun(tc_fun(_u15000, tc_HOL_Obool), tc_fun(_u15000, tc_HOL_Obool)), _u14998), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15000, tc_HOL_Obool))), _u15002)), _u15004)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15000, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14998, tc_fun(_u15000, tc_HOL_Obool)), _u14996), _u15002)), _u15004)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I3_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I3_J-1, axiom, ( ( _u15010 != c_Orderings_Obot__class_Obot(tc_fun(_u15012, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15012, tc_fun(_u15014, tc_HOL_Obool)), _u15010), hAPP(hAPP(c_COMBC(_u15012, tc_fun(_u15014, tc_HOL_Obool), tc_fun(_u15014, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15014, tc_HOL_Obool), tc_fun(tc_fun(_u15014, tc_HOL_Obool), tc_fun(_u15014, tc_HOL_Obool)), _u15012), c_Groups_Ominus__class_Ominus(tc_fun(_u15014, tc_HOL_Obool))), _u15016)), _u15018)) = c_Orderings_Otop__class_Otop(tc_fun(_u15014, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_INT__simps_I3_J-2, axiom, ( ( _u15011 = c_Orderings_Obot__class_Obot(tc_fun(_u15013, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15013, tc_fun(_u15015, tc_HOL_Obool)), _u15011), hAPP(hAPP(c_COMBC(_u15013, tc_fun(_u15015, tc_HOL_Obool), tc_fun(_u15015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15015, tc_HOL_Obool), tc_fun(tc_fun(_u15015, tc_HOL_Obool), tc_fun(_u15015, tc_HOL_Obool)), _u15013), c_Groups_Ominus__class_Ominus(tc_fun(_u15015, tc_HOL_Obool))), _u15017)), _u15019)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15015, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15013, tc_fun(_u15015, tc_HOL_Obool)), _u15011), _u15017)), _u15019)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I3_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I3_J-1, axiom, ( ( _u15025 != c_Orderings_Obot__class_Obot(tc_fun(_u15027, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15029, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15027, tc_fun(_u15029, tc_HOL_Obool)), _u15025), _u15031)), _u15033) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15029, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15029, tc_HOL_Obool))), _u15033)) )).
% 43.37/43.59 cnf(fact_INT__extend__simps_I3_J-2, axiom, ( ( _u15026 = c_Orderings_Obot__class_Obot(tc_fun(_u15028, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15030, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15028, tc_fun(_u15030, tc_HOL_Obool)), _u15026), _u15032)), _u15034) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15028, tc_fun(_u15030, tc_HOL_Obool)), _u15026), hAPP(hAPP(c_COMBC(_u15028, tc_fun(_u15030, tc_HOL_Obool), tc_fun(_u15030, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15030, tc_HOL_Obool), tc_fun(tc_fun(_u15030, tc_HOL_Obool), tc_fun(_u15030, tc_HOL_Obool)), _u15028), c_Groups_Ominus__class_Ominus(tc_fun(_u15030, tc_HOL_Obool))), _u15032)), _u15034))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I4_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I4_J-1, axiom, ( ( _u15040 != c_Orderings_Obot__class_Obot(tc_fun(_u15042, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15044, tc_HOL_Obool)), _u15046), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15042, tc_fun(_u15044, tc_HOL_Obool)), _u15040), _u15048)) = _u15046) )).
% 43.37/43.59 cnf(fact_INT__extend__simps_I4_J-2, axiom, ( ( _u15041 = c_Orderings_Obot__class_Obot(tc_fun(_u15043, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15045, tc_HOL_Obool)), _u15047), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15043, tc_fun(_u15045, tc_HOL_Obool)), _u15041), _u15049)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15043, tc_fun(_u15045, tc_HOL_Obool)), _u15041), hAPP(hAPP(c_COMBB(tc_fun(_u15045, tc_HOL_Obool), tc_fun(_u15045, tc_HOL_Obool), _u15043), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15045, tc_HOL_Obool)), _u15047)), _u15049))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF__leI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF__leI-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15050) | ~hBOOL(hAPP(hAPP(c_member(_u15051), _u15052), _u15053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15051, _u15050), _u15053), _u15054)), hAPP(_u15054, _u15052))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__greaterThan__UNIV ( axiom ) converted to clauses:
% 43.37/43.59 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))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I4_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I4_J-1, axiom, ( ( _u15060 != c_Orderings_Obot__class_Obot(tc_fun(_u15062, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15062, tc_fun(_u15064, tc_HOL_Obool)), _u15060), hAPP(hAPP(c_COMBB(tc_fun(_u15064, tc_HOL_Obool), tc_fun(_u15064, tc_HOL_Obool), _u15062), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15064, tc_HOL_Obool)), _u15066)), _u15068)) = c_Orderings_Otop__class_Otop(tc_fun(_u15064, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_INT__simps_I4_J-2, axiom, ( ( _u15061 = c_Orderings_Obot__class_Obot(tc_fun(_u15063, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15063, tc_fun(_u15065, tc_HOL_Obool)), _u15061), hAPP(hAPP(c_COMBB(tc_fun(_u15065, tc_HOL_Obool), tc_fun(_u15065, tc_HOL_Obool), _u15063), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15065, tc_HOL_Obool)), _u15067)), _u15069)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15065, tc_HOL_Obool)), _u15067), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15063, tc_fun(_u15065, tc_HOL_Obool)), _u15061), _u15069))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Image__INT__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Image__INT__eq-1, axiom, ( ~c_Relation_Osingle__valued(_u15070, _u15071, hAPP(c_Relation_Oconverse(_u15071, _u15070), _u15072)) | ( _u15073 = c_Orderings_Obot__class_Obot(tc_fun(_u15074, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u15071, _u15070, _u15072), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15074, tc_fun(_u15071, tc_HOL_Obool)), _u15073), _u15075)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15074, tc_fun(_u15070, tc_HOL_Obool)), _u15073), hAPP(hAPP(c_COMBB(tc_fun(_u15071, tc_HOL_Obool), tc_fun(_u15070, tc_HOL_Obool), _u15074), c_Relation_OImage(_u15071, _u15070, _u15072)), _u15075))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inf__INFI__fold__inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inf__INFI__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15076) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15077), _u15078)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15076), _u15079), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15077, _u15076), _u15078), _u15080)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15077, _u15076, hAPP(hAPP(c_COMBB(_u15076, tc_fun(_u15076, _u15076), _u15077), c_Lattices_Osemilattice__inf__class_Oinf(_u15076)), _u15080)), _u15079), _u15078)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__fold__inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15081) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15081), _u15082)) | ( c_Complete__Lattice_OInf__class_OInf(_u15081, _u15082) = hAPP(hAPP(c_Finite__Set_Ofold(_u15081, _u15081, c_Lattices_Osemilattice__inf__class_Oinf(_u15081)), c_Orderings_Otop__class_Otop(_u15081)), _u15082)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__fold__sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15083), _u15084)) | ( c_Complete__Lattice_OSup__class_OSup(_u15083, _u15084) = hAPP(hAPP(c_Finite__Set_Ofold(_u15083, _u15083, c_Lattices_Osemilattice__sup__class_Osup(_u15083)), c_Orderings_Obot__class_Obot(_u15083)), _u15084)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__Inter ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__Inter-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15086, tc_HOL_Obool)), _u15085), _u15087)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15086), _u15085)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15086), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15086, tc_HOL_Obool), _u15087))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UnionI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UnionI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15088, tc_HOL_Obool)), _u15089), _u15090)) | ~hBOOL(hAPP(hAPP(c_member(_u15088), _u15091), _u15089)) | hBOOL(hAPP(hAPP(c_member(_u15088), _u15091), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15088, tc_HOL_Obool), _u15090))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_InterD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_InterD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15092), _u15093), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15092, tc_HOL_Obool), _u15094))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15092, tc_HOL_Obool)), _u15095), _u15094)) | hBOOL(hAPP(hAPP(c_member(_u15092), _u15093), _u15095)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_InterE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_InterE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15096), _u15097), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15096, tc_HOL_Obool), _u15098))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15096, tc_HOL_Obool)), _u15099), _u15098)) | hBOOL(hAPP(hAPP(c_member(_u15096), _u15097), _u15099)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF2__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF2__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15109, tc_fun(_u15111, tc_fun(_u15113, tc_HOL_Obool))), _u15115), _u15117), _u15119), _u15121)) | ~hBOOL(hAPP(hAPP(c_member(_u15109), _u15100), _u15115)) | hBOOL(hAPP(hAPP(hAPP(_u15117, _u15100), _u15119), _u15121)) )).
% 43.37/43.59 cnf(fact_INF2__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15110, tc_fun(_u15112, tc_fun(_u15114, tc_HOL_Obool))), _u15116), _u15118), _u15120), _u15122)) | hBOOL(hAPP(hAPP(c_member(_u15110), skolem381(_u15122, _u15120, _u15118, _u15116, _u15114, _u15112, _u15110)), _u15116)) )).
% 43.37/43.59 cnf(fact_INF2__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15110, tc_fun(_u15112, tc_fun(_u15114, tc_HOL_Obool))), _u15116), _u15118), _u15120), _u15122)) | ~hBOOL(hAPP(hAPP(hAPP(_u15118, skolem381(_u15122, _u15120, _u15118, _u15116, _u15114, _u15112, _u15110)), _u15120), _u15122)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INF1__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INF1__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15130, tc_fun(_u15132, tc_HOL_Obool)), _u15134), _u15136), _u15138)) | ~hBOOL(hAPP(hAPP(c_member(_u15130), _u15123), _u15134)) | hBOOL(hAPP(hAPP(_u15136, _u15123), _u15138)) )).
% 43.37/43.59 cnf(fact_INF1__iff-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15131, tc_fun(_u15133, tc_HOL_Obool)), _u15135), _u15137), _u15139)) | hBOOL(hAPP(hAPP(c_member(_u15131), skolem382(_u15139, _u15137, _u15135, _u15133, _u15131)), _u15135)) )).
% 43.37/43.59 cnf(fact_INF1__iff-3, axiom, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15131, tc_fun(_u15133, tc_HOL_Obool)), _u15135), _u15137), _u15139)) | ~hBOOL(hAPP(hAPP(_u15137, skolem382(_u15139, _u15137, _u15135, _u15133, _u15131)), _u15139)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__simps_I8_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15140, tc_fun(_u15141, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15140, tc_HOL_Obool), _u15142)), _u15143) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15140, tc_HOL_Obool), tc_fun(_u15141, tc_HOL_Obool)), _u15142), hAPP(hAPP(c_COMBC(tc_fun(_u15140, tc_HOL_Obool), tc_fun(_u15140, tc_fun(_u15141, tc_HOL_Obool)), tc_fun(_u15141, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15140, tc_fun(_u15141, tc_HOL_Obool))), _u15143))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INT__extend__simps_I8_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INT__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15144, tc_HOL_Obool), tc_fun(_u15145, tc_HOL_Obool)), _u15146), hAPP(hAPP(c_COMBC(tc_fun(_u15144, tc_HOL_Obool), tc_fun(_u15144, tc_fun(_u15145, tc_HOL_Obool)), tc_fun(_u15145, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15144, tc_fun(_u15145, tc_HOL_Obool))), _u15147)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15144, tc_fun(_u15145, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15144, tc_HOL_Obool), _u15146)), _u15147)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_INTER__eq__Inter__image ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_INTER__eq__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15148, tc_fun(_u15149, tc_HOL_Obool)), _u15150), _u15151) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15149, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15148, tc_fun(_u15149, tc_HOL_Obool), _u15151), _u15150))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__image__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__image__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15152, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15153, tc_fun(_u15152, tc_HOL_Obool), _u15154), _u15155)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15153, tc_fun(_u15152, tc_HOL_Obool)), _u15155), _u15154)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Un__Inter ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Un__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15156, tc_HOL_Obool)), _u15157), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15156, tc_HOL_Obool), _u15158)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15156, tc_HOL_Obool), tc_fun(_u15156, tc_HOL_Obool)), _u15158), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15156, tc_HOL_Obool)), _u15157))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__Inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15159) | ( c_Complete__Lattice_OSup__class_OSup(_u15159, _u15160) = c_Complete__Lattice_OInf__class_OInf(_u15159, hAPP(c_Set_OCollect(_u15159), hAPP(hAPP(c_COMBB(tc_fun(_u15159, tc_HOL_Obool), tc_HOL_Obool, _u15159), c_HOL_OAll(_u15159)), hAPP(hAPP(c_COMBB(tc_fun(_u15159, tc_HOL_Obool), tc_fun(_u15159, tc_HOL_Obool), _u15159), hAPP(c_COMBS(_u15159, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15159), c_fimplies), hAPP(hAPP(c_COMBC(_u15159, tc_fun(_u15159, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15159)), _u15160)))), hAPP(c_COMBC(_u15159, _u15159, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u15159))))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__Sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15161) | ( c_Complete__Lattice_OInf__class_OInf(_u15161, _u15162) = c_Complete__Lattice_OSup__class_OSup(_u15161, hAPP(c_Set_OCollect(_u15161), hAPP(hAPP(c_COMBB(tc_fun(_u15161, tc_HOL_Obool), tc_HOL_Obool, _u15161), c_HOL_OAll(_u15161)), hAPP(hAPP(c_COMBB(tc_fun(_u15161, tc_HOL_Obool), tc_fun(_u15161, tc_HOL_Obool), _u15161), hAPP(c_COMBS(_u15161, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15161), c_fimplies), hAPP(hAPP(c_COMBC(_u15161, tc_fun(_u15161, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15161)), _u15162)))), c_Orderings_Oord__class_Oless__eq(_u15161)))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__upper ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__upper-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15163, tc_HOL_Obool)), _u15164), _u15165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15163, tc_HOL_Obool)), _u15164), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15163, tc_HOL_Obool), _u15165))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__less__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__less__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15168) | ~class_Orderings_Olinorder(_u15168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), c_Complete__Lattice_OInf__class_OInf(_u15168, _u15169)), _u15170)) | hBOOL(hAPP(hAPP(c_member(_u15168), skolem383(_u15170, _u15169, _u15168)), _u15169)) )).
% 43.37/43.59 cnf(fact_Inf__less__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15168) | ~class_Orderings_Olinorder(_u15168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), c_Complete__Lattice_OInf__class_OInf(_u15168, _u15169)), _u15170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), skolem383(_u15170, _u15169, _u15168)), _u15170)) )).
% 43.37/43.59 cnf(fact_Inf__less__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15168) | ~class_Orderings_Olinorder(_u15168) | ~hBOOL(hAPP(hAPP(c_member(_u15168), _u15167), _u15169)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), _u15167), _u15170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), c_Complete__Lattice_OInf__class_OInf(_u15168, _u15169)), _u15170)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_less__Sup__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_less__Sup__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15173) | ~class_Orderings_Olinorder(_u15173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), c_Complete__Lattice_OSup__class_OSup(_u15173, _u15175))) | hBOOL(hAPP(hAPP(c_member(_u15173), skolem384(_u15175, _u15174, _u15173)), _u15175)) )).
% 43.37/43.59 cnf(fact_less__Sup__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15173) | ~class_Orderings_Olinorder(_u15173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), c_Complete__Lattice_OSup__class_OSup(_u15173, _u15175))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), skolem384(_u15175, _u15174, _u15173))) )).
% 43.37/43.59 cnf(fact_less__Sup__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15173) | ~class_Orderings_Olinorder(_u15173) | ~hBOOL(hAPP(hAPP(c_member(_u15173), _u15172), _u15175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), _u15172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), c_Complete__Lattice_OSup__class_OSup(_u15173, _u15175))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__le__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__le__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), c_Complete__Lattice_OSup__class_OSup(_u15178, _u15179)), _u15180)) | ~hBOOL(hAPP(hAPP(c_member(_u15178), _u15176), _u15179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), _u15176), _u15180)) )).
% 43.37/43.59 cnf(fact_Sup__le__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15178) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), c_Complete__Lattice_OSup__class_OSup(_u15178, _u15179)), _u15180)) | hBOOL(hAPP(hAPP(c_member(_u15178), skolem385(_u15180, _u15179, _u15178)), _u15179)) )).
% 43.37/43.59 cnf(fact_Sup__le__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15178) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), c_Complete__Lattice_OSup__class_OSup(_u15178, _u15179)), _u15180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), skolem385(_u15180, _u15179, _u15178)), _u15180)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_le__Inf__iff ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_le__Inf__iff-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), c_Complete__Lattice_OInf__class_OInf(_u15183, _u15185))) | ~hBOOL(hAPP(hAPP(c_member(_u15183), _u15181), _u15185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), _u15181)) )).
% 43.37/43.59 cnf(fact_le__Inf__iff-2, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15183) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), c_Complete__Lattice_OInf__class_OInf(_u15183, _u15185))) | hBOOL(hAPP(hAPP(c_member(_u15183), skolem386(_u15185, _u15184, _u15183)), _u15185)) )).
% 43.37/43.59 cnf(fact_le__Inf__iff-3, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15183) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), c_Complete__Lattice_OInf__class_OInf(_u15183, _u15185))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), skolem386(_u15185, _u15184, _u15183))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__disjoint ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__disjoint-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15191, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15191, tc_HOL_Obool), _u15193)), _u15195) != c_Orderings_Obot__class_Obot(tc_fun(_u15191, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15191, tc_HOL_Obool)), _u15186), _u15193)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15191, tc_HOL_Obool)), _u15186), _u15195) = c_Orderings_Obot__class_Obot(tc_fun(_u15191, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_Union__disjoint-2, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15192, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15192, tc_HOL_Obool), _u15194)), _u15196) = c_Orderings_Obot__class_Obot(tc_fun(_u15192, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15192, tc_HOL_Obool)), skolem387(_u15196, _u15194, _u15192)), _u15194)) )).
% 43.37/43.59 cnf(fact_Union__disjoint-3, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15192, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15192, tc_HOL_Obool), _u15194)), _u15196) = c_Orderings_Obot__class_Obot(tc_fun(_u15192, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15192, tc_HOL_Obool)), skolem387(_u15196, _u15194, _u15192)), _u15196) != c_Orderings_Obot__class_Obot(tc_fun(_u15192, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Field__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Field__Union-1, axiom, ( ( hAPP(c_Relation_OField(_u15197), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15197, _u15197), tc_HOL_Obool), _u15198)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15197, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u15197, _u15197), tc_HOL_Obool), tc_fun(_u15197, tc_HOL_Obool), c_Relation_OField(_u15197)), _u15198))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__Pow__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__Pow__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15199, tc_HOL_Obool), hAPP(c_Set_OPow(_u15199), _u15200)) = _u15200) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Domain__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Domain__Union-1, axiom, ( ( hAPP(c_Relation_ODomain(_u15201, _u15202), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15201, _u15202), tc_HOL_Obool), _u15203)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15201, _u15202), tc_HOL_Obool), tc_fun(_u15201, tc_HOL_Obool)), _u15203), c_Relation_ODomain(_u15201, _u15202))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Int__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Int__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15204, tc_HOL_Obool)), _u15205), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15204, tc_HOL_Obool), _u15206)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15204, tc_HOL_Obool), tc_fun(_u15204, tc_HOL_Obool)), _u15206), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15204, tc_HOL_Obool)), _u15205))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Int__Union2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Int__Union2-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15207, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15207, tc_HOL_Obool), _u15208)), _u15209) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15207, tc_HOL_Obool), tc_fun(_u15207, tc_HOL_Obool)), _u15208), hAPP(hAPP(c_COMBC(tc_fun(_u15207, tc_HOL_Obool), tc_fun(_u15207, tc_HOL_Obool), tc_fun(_u15207, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15207, tc_HOL_Obool))), _u15209))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UN__simps_I8_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UN__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15210, tc_fun(_u15211, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15210, tc_HOL_Obool), _u15212)), _u15213) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15210, tc_HOL_Obool), tc_fun(_u15211, tc_HOL_Obool)), _u15212), hAPP(hAPP(c_COMBC(tc_fun(_u15210, tc_HOL_Obool), tc_fun(_u15210, tc_fun(_u15211, tc_HOL_Obool)), tc_fun(_u15211, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15210, tc_fun(_u15211, tc_HOL_Obool))), _u15213))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UN__extend__simps_I8_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UN__extend__simps_I8_J-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15214, tc_HOL_Obool), tc_fun(_u15215, tc_HOL_Obool)), _u15216), hAPP(hAPP(c_COMBC(tc_fun(_u15214, tc_HOL_Obool), tc_fun(_u15214, tc_fun(_u15215, tc_HOL_Obool)), tc_fun(_u15215, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15214, tc_fun(_u15215, tc_HOL_Obool))), _u15217)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15214, tc_fun(_u15215, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15214, tc_HOL_Obool), _u15216)), _u15217)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Range__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Range__Union-1, axiom, ( ( hAPP(c_Relation_ORange(_u15218, _u15219), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15218, _u15219), tc_HOL_Obool), _u15220)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15218, _u15219), tc_HOL_Obool), tc_fun(_u15219, tc_HOL_Obool)), _u15220), c_Relation_ORange(_u15218, _u15219))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_image__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_image__Union-1, axiom, ( ( hAPP(c_Set_Oimage(_u15221, _u15222, _u15223), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15221, tc_HOL_Obool), _u15224)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15221, tc_HOL_Obool), tc_fun(_u15222, tc_HOL_Obool)), _u15224), c_Set_Oimage(_u15221, _u15222, _u15223))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sigma__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sigma__Union-1, axiom, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u15225, _u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15225, tc_HOL_Obool), _u15227)), _u15228) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15225, tc_HOL_Obool), tc_fun(tc_prod(_u15225, _u15226), tc_HOL_Obool)), _u15227), hAPP(hAPP(c_COMBC(tc_fun(_u15225, tc_HOL_Obool), tc_fun(_u15225, tc_fun(_u15226, tc_HOL_Obool)), tc_fun(tc_prod(_u15225, _u15226), tc_HOL_Obool)), c_Product__Type_OSigma(_u15225, _u15226)), _u15228))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_vimage__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_vimage__Union-1, axiom, ( ( hAPP(c_Set_Ovimage(_u15229, _u15230, _u15231), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15230, tc_HOL_Obool), _u15232)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15230, tc_HOL_Obool), tc_fun(_u15229, tc_HOL_Obool)), _u15232), c_Set_Ovimage(_u15229, _u15230, _u15231))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__lower ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__lower-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15233, tc_HOL_Obool)), _u15234), _u15235)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15233, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15233, tc_HOL_Obool), _u15235)), _u15234)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__empty-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15236, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15236, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15236, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__mono ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15237, tc_HOL_Obool), tc_HOL_Obool)), _u15238), _u15239)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15237, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15237, tc_HOL_Obool), _u15238)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15237, tc_HOL_Obool), _u15239))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__quotient ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__quotient-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15240, _u15241, _u15242) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15240, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u15240), _u15241), _u15242)) = _u15241) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__insert-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15243, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15243, tc_HOL_Obool)), _u15244), _u15245)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15243, tc_HOL_Obool)), _u15244), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15243, tc_HOL_Obool), _u15245))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__UnionD ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__UnionD-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15246), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15246, tc_HOL_Obool), _u15247))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15246, tc_HOL_Obool)), _u15247)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_subset__Pow__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_subset__Pow__Union-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15248, tc_HOL_Obool), tc_HOL_Obool)), _u15249), hAPP(c_Set_OPow(_u15248), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15248, tc_HOL_Obool), _u15249)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__anti__mono ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__anti__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15250, tc_HOL_Obool), tc_HOL_Obool)), _u15251), _u15252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15250, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15250, tc_HOL_Obool), _u15252)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15250, tc_HOL_Obool), _u15251))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__empty-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15253, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15253, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15253, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__eq-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15254, tc_HOL_Obool), _u15255) = hAPP(c_Set_OCollect(_u15254), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15254, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u15254), c_HOL_OAll(tc_fun(_u15254, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15254, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u15254, tc_HOL_Obool), tc_HOL_Obool), _u15254), hAPP(c_COMBS(tc_fun(_u15254, 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(_u15254, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u15254, tc_HOL_Obool), tc_fun(tc_fun(_u15254, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u15254, tc_HOL_Obool))), _u15255)))), c_member(_u15254))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__UNIV ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__UNIV-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15256, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15256, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15256, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__Un__distrib ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15257, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15257, tc_HOL_Obool), tc_HOL_Obool)), _u15258), _u15259)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15257, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15257, tc_HOL_Obool), _u15258)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15257, tc_HOL_Obool), _u15259))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__insert-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15260, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15260, tc_HOL_Obool)), _u15261), _u15262)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15260, tc_HOL_Obool)), _u15261), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15260, tc_HOL_Obool), _u15262))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UNION__eq__Union__image ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UNION__eq__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15263, tc_fun(_u15264, tc_HOL_Obool)), _u15265), _u15266) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15264, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15263, tc_fun(_u15264, tc_HOL_Obool), _u15266), _u15265))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__image__eq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__image__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15267, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15268, tc_fun(_u15267, tc_HOL_Obool), _u15269), _u15270)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15268, tc_fun(_u15267, tc_HOL_Obool)), _u15270), _u15269)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__upper ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__upper-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15271) | ~hBOOL(hAPP(hAPP(c_member(_u15271), _u15272), _u15273)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15271), _u15272), c_Complete__Lattice_OSup__class_OSup(_u15271, _u15273))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__UNIV ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__UNIV-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15274, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15274, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15274, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__lower ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__lower-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15275) | ~hBOOL(hAPP(hAPP(c_member(_u15275), _u15276), _u15277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15275), c_Complete__Lattice_OInf__class_OInf(_u15275, _u15277)), _u15276)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__Un__distrib ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__Un__distrib-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15278, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15278, tc_HOL_Obool), tc_HOL_Obool)), _u15279), _u15280)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15278, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15278, tc_HOL_Obool), _u15279)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15278, tc_HOL_Obool), _u15280))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15281) | ( c_Complete__Lattice_OSup__class_OSup(_u15281, c_Orderings_Obot__class_Obot(tc_fun(_u15281, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15281)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__singleton ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15282) | ( c_Complete__Lattice_OSup__class_OSup(_u15282, hAPP(hAPP(c_Set_Oinsert(_u15282), _u15283), c_Orderings_Obot__class_Obot(tc_fun(_u15282, tc_HOL_Obool)))) = _u15283) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15284) | ( c_Complete__Lattice_OSup__class_OSup(_u15284, hAPP(hAPP(c_Set_Oinsert(_u15284), _u15285), _u15286)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15284), _u15285), c_Complete__Lattice_OSup__class_OSup(_u15284, _u15286))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Int__Inter__image ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Int__Inter__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15287, tc_fun(_u15288, tc_HOL_Obool)), _u15289), hAPP(hAPP(c_COMBS(_u15287, tc_fun(_u15288, tc_HOL_Obool), tc_fun(_u15288, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15288, tc_HOL_Obool), tc_fun(tc_fun(_u15288, tc_HOL_Obool), tc_fun(_u15288, tc_HOL_Obool)), _u15287), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15288, tc_HOL_Obool))), _u15290)), _u15291)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15288, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15288, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15287, tc_fun(_u15288, tc_HOL_Obool), _u15290), _u15289))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15288, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15287, tc_fun(_u15288, tc_HOL_Obool), _u15291), _u15289)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__UNIV ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15292) | ( c_Complete__Lattice_OSup__class_OSup(_u15292, c_Orderings_Otop__class_Otop(tc_fun(_u15292, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15292)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__singleton ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__singleton-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15293) | ( c_Complete__Lattice_OInf__class_OInf(_u15293, hAPP(hAPP(c_Set_Oinsert(_u15293), _u15294), c_Orderings_Obot__class_Obot(tc_fun(_u15293, tc_HOL_Obool)))) = _u15294) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__empty ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__empty-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15295) | ( c_Complete__Lattice_OInf__class_OInf(_u15295, c_Orderings_Obot__class_Obot(tc_fun(_u15295, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15295)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__UNIV ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__UNIV-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15296) | ( c_Complete__Lattice_OInf__class_OInf(_u15296, c_Orderings_Otop__class_Otop(tc_fun(_u15296, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15296)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__insert ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__insert-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15297) | ( c_Complete__Lattice_OInf__class_OInf(_u15297, hAPP(hAPP(c_Set_Oinsert(_u15297), _u15298), _u15299)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15297), _u15298), c_Complete__Lattice_OInf__class_OInf(_u15297, _u15299))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Un__eq__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Un__eq__Union-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15300, tc_HOL_Obool)), _u15301), _u15302) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15300, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15300, tc_HOL_Obool)), _u15301), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15300, tc_HOL_Obool)), _u15302), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15300, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Un__Union__image ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Un__Union__image-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15303, tc_fun(_u15304, tc_HOL_Obool)), _u15305), hAPP(hAPP(c_COMBS(_u15303, tc_fun(_u15304, tc_HOL_Obool), tc_fun(_u15304, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15304, tc_HOL_Obool), tc_fun(tc_fun(_u15304, tc_HOL_Obool), tc_fun(_u15304, tc_HOL_Obool)), _u15303), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15304, tc_HOL_Obool))), _u15306)), _u15307)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15304, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15304, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15303, tc_fun(_u15304, tc_HOL_Obool), _u15306), _u15305))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15304, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15303, tc_fun(_u15304, tc_HOL_Obool), _u15307), _u15305)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__Int__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__Int__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15308, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15308, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15308, tc_HOL_Obool), tc_HOL_Obool)), _u15309), _u15310))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15308, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15308, tc_HOL_Obool), _u15309)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15308, tc_HOL_Obool), _u15310)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Int__eq__Inter ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Int__eq__Inter-1, axiom, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15311, tc_HOL_Obool)), _u15312), _u15313) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15311, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15311, tc_HOL_Obool)), _u15312), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15311, tc_HOL_Obool)), _u15313), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15311, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__Un__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__Un__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15314, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15314, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15314, tc_HOL_Obool), _u15315)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15314, tc_HOL_Obool), _u15316))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15314, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15314, tc_HOL_Obool), tc_HOL_Obool)), _u15315), _u15316)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__binary ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15317) | ( c_Complete__Lattice_OSup__class_OSup(_u15317, hAPP(hAPP(c_Set_Oinsert(_u15317), _u15318), hAPP(hAPP(c_Set_Oinsert(_u15317), _u15319), c_Orderings_Obot__class_Obot(tc_fun(_u15317, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15317), _u15318), _u15319)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__binary ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__binary-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15320) | ( c_Complete__Lattice_OInf__class_OInf(_u15320, hAPP(hAPP(c_Set_Oinsert(_u15320), _u15321), hAPP(hAPP(c_Set_Oinsert(_u15320), _u15322), c_Orderings_Obot__class_Obot(tc_fun(_u15320, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15320), _u15321), _u15322)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_sup__Sup__fold__sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_sup__Sup__fold__sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15323), _u15324)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15323), _u15325), c_Complete__Lattice_OSup__class_OSup(_u15323, _u15324)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15323, _u15323, c_Lattices_Osemilattice__sup__class_Osup(_u15323)), _u15325), _u15324)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Sup__fin__Sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Sup__fin__Sup-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15326), _u15327)) | ( _u15327 = c_Orderings_Obot__class_Obot(tc_fun(_u15326, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15326, _u15327) = c_Complete__Lattice_OSup__class_OSup(_u15326, _u15327)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inf__Inf__fold__inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inf__Inf__fold__inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15328) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15328), _u15329)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15328), _u15330), c_Complete__Lattice_OInf__class_OInf(_u15328, _u15329)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15328, _u15328, c_Lattices_Osemilattice__inf__class_Oinf(_u15328)), _u15330), _u15329)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inf__fin__Inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inf__fin__Inf-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15331), _u15332)) | ( _u15332 = c_Orderings_Obot__class_Obot(tc_fun(_u15331, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15331, _u15332) = c_Complete__Lattice_OInf__class_OInf(_u15331, _u15332)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_image__INT ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_image__INT-1, axiom, ( ~c_Fun_Oinj__on(_u15334, _u15335, _u15336, _u15337) | ~hBOOL(hAPP(hAPP(c_member(_u15338), _u15341), _u15339)) | ( hAPP(c_Set_Oimage(_u15334, _u15335, _u15336), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15338, tc_fun(_u15334, tc_HOL_Obool)), _u15339), _u15340)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15338, tc_fun(_u15335, tc_HOL_Obool)), _u15339), hAPP(hAPP(c_COMBB(tc_fun(_u15334, tc_HOL_Obool), tc_fun(_u15335, tc_HOL_Obool), _u15338), c_Set_Oimage(_u15334, _u15335, _u15336)), _u15340))) | hBOOL(hAPP(hAPP(c_member(_u15338), skolem388(_u15341, _u15340, _u15339, _u15338, _u15337, _u15336, _u15335, _u15334)), _u15339)) )).
% 43.37/43.59 cnf(fact_image__INT-2, axiom, ( ~c_Fun_Oinj__on(_u15334, _u15335, _u15336, _u15337) | ~hBOOL(hAPP(hAPP(c_member(_u15338), _u15341), _u15339)) | ( hAPP(c_Set_Oimage(_u15334, _u15335, _u15336), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15338, tc_fun(_u15334, tc_HOL_Obool)), _u15339), _u15340)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15338, tc_fun(_u15335, tc_HOL_Obool)), _u15339), hAPP(hAPP(c_COMBB(tc_fun(_u15334, tc_HOL_Obool), tc_fun(_u15335, tc_HOL_Obool), _u15338), c_Set_Oimage(_u15334, _u15335, _u15336)), _u15340))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15334, tc_HOL_Obool)), hAPP(_u15340, skolem388(_u15341, _u15340, _u15339, _u15338, _u15337, _u15336, _u15335, _u15334))), _u15337)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_card__partition ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_card__partition-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem389(_u15347, _u15346, _u15345)), _u15346)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem390(_u15347, _u15346, _u15345)), _u15346)) )).
% 43.37/43.59 cnf(fact_card__partition-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem389(_u15347, _u15346, _u15345)), _u15346)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem391(_u15347, _u15346, _u15345)), _u15346)) )).
% 43.37/43.59 cnf(fact_card__partition-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem389(_u15347, _u15346, _u15345)), _u15346)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( skolem390(_u15347, _u15346, _u15345) != skolem391(_u15347, _u15346, _u15345)) )).
% 43.37/43.59 cnf(fact_card__partition-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem389(_u15347, _u15346, _u15345)), _u15346)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15345, tc_HOL_Obool)), skolem390(_u15347, _u15346, _u15345)), skolem391(_u15347, _u15346, _u15345)) != c_Orderings_Obot__class_Obot(tc_fun(_u15345, tc_HOL_Obool))) )).
% 43.37/43.59 cnf(fact_card__partition-5, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(c_Finite__Set_Ocard(_u15345), skolem389(_u15347, _u15346, _u15345)) != _u15347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem390(_u15347, _u15346, _u15345)), _u15346)) )).
% 43.37/43.59 cnf(fact_card__partition-6, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(c_Finite__Set_Ocard(_u15345), skolem389(_u15347, _u15346, _u15345)) != _u15347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem391(_u15347, _u15346, _u15345)), _u15346)) )).
% 43.37/43.59 cnf(fact_card__partition-7, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(c_Finite__Set_Ocard(_u15345), skolem389(_u15347, _u15346, _u15345)) != _u15347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( skolem390(_u15347, _u15346, _u15345) != skolem391(_u15347, _u15346, _u15345)) )).
% 43.37/43.59 cnf(fact_card__partition-8, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(c_Finite__Set_Ocard(_u15345), skolem389(_u15347, _u15346, _u15345)) != _u15347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15345, tc_HOL_Obool)), skolem390(_u15347, _u15346, _u15345)), skolem391(_u15347, _u15346, _u15345)) != c_Orderings_Obot__class_Obot(tc_fun(_u15345, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__def-1, axiom, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15348, tc_HOL_Obool), _u15349) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15348, tc_HOL_Obool), tc_fun(_u15348, tc_HOL_Obool)), _u15349), c_COMBI(tc_fun(_u15348, tc_HOL_Obool)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Union__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Union__def-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15350, tc_HOL_Obool), _u15351) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15350, tc_HOL_Obool), tc_fun(_u15350, tc_HOL_Obool)), _u15351), c_COMBI(tc_fun(_u15350, tc_HOL_Obool)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__Union ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__Union-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15353, tc_HOL_Obool)), _u15354)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15353, tc_HOL_Obool), _u15354))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15353, tc_HOL_Obool)), skolem392(_u15354, _u15353)), _u15354)) )).
% 43.37/43.59 cnf(fact_finite__Union-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15353, tc_HOL_Obool)), _u15354)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15353, tc_HOL_Obool), _u15354))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), skolem392(_u15354, _u15353))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_insert__partition ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_insert__partition-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), _u15358), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15357, tc_HOL_Obool), _u15359)) = c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), skolem393(_u15359, _u15358, _u15357)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359))) )).
% 43.37/43.59 cnf(fact_insert__partition-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), _u15358), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15357, tc_HOL_Obool), _u15359)) = c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), skolem394(_u15359, _u15358, _u15357)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359))) )).
% 43.37/43.59 cnf(fact_insert__partition-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), _u15358), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15357, tc_HOL_Obool), _u15359)) = c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) | ( skolem393(_u15359, _u15358, _u15357) != skolem394(_u15359, _u15358, _u15357)) )).
% 43.37/43.59 cnf(fact_insert__partition-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), _u15358), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15357, tc_HOL_Obool), _u15359)) = c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), skolem393(_u15359, _u15358, _u15357)), skolem394(_u15359, _u15358, _u15357)) != c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inj__on__Inter ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inj__on__Inter-1, axiom, ( ( _u15361 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15362, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15362, _u15363, _u15364, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15362, tc_HOL_Obool), _u15361)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15362, tc_HOL_Obool)), skolem395(_u15364, _u15363, _u15362, _u15361)), _u15361)) )).
% 43.37/43.59 cnf(fact_inj__on__Inter-2, axiom, ( ( _u15361 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15362, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15362, _u15363, _u15364, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15362, tc_HOL_Obool), _u15361)) | ~c_Fun_Oinj__on(_u15362, _u15363, _u15364, skolem395(_u15364, _u15363, _u15362, _u15361)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Inter__subset ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Inter__subset-1, axiom, ( ( _u15367 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15366, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15366, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15366, tc_HOL_Obool), _u15367)), _u15368)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15366, tc_HOL_Obool)), skolem396(_u15368, _u15367, _u15366)), _u15367)) )).
% 43.37/43.59 cnf(fact_Inter__subset-2, axiom, ( ( _u15367 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15366, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15366, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15366, tc_HOL_Obool), _u15367)), _u15368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15366, tc_HOL_Obool)), skolem396(_u15368, _u15367, _u15366)), _u15368)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inj__on__INTER ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inj__on__INTER-1, axiom, ( ( _u15370 = c_Orderings_Obot__class_Obot(tc_fun(_u15371, tc_HOL_Obool))) | c_Fun_Oinj__on(_u15372, _u15373, _u15374, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15371, tc_fun(_u15372, tc_HOL_Obool)), _u15370), _u15375)) | hBOOL(hAPP(hAPP(c_member(_u15371), skolem397(_u15375, _u15374, _u15373, _u15372, _u15371, _u15370)), _u15370)) )).
% 43.37/43.59 cnf(fact_inj__on__INTER-2, axiom, ( ( _u15370 = c_Orderings_Obot__class_Obot(tc_fun(_u15371, tc_HOL_Obool))) | c_Fun_Oinj__on(_u15372, _u15373, _u15374, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15371, tc_fun(_u15372, tc_HOL_Obool)), _u15370), _u15375)) | ~c_Fun_Oinj__on(_u15372, _u15373, _u15374, hAPP(_u15375, skolem397(_u15375, _u15374, _u15373, _u15372, _u15371, _u15370))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fun__left__comm_Ofold__graph__insertE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__graph__insertE-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15377, _u15378, _u15379) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15377, _u15378, _u15379, _u15380, hAPP(hAPP(c_Set_Oinsert(_u15377), _u15381), _u15382)), _u15383)) | hBOOL(hAPP(hAPP(c_member(_u15377), _u15381), _u15382)) | ( _u15383 = hAPP(hAPP(_u15379, _u15381), skolem398(_u15383, _u15382, _u15381, _u15380, _u15379, _u15378, _u15377))) )).
% 43.37/43.59 cnf(fact_fun__left__comm_Ofold__graph__insertE-2, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u15377, _u15378, _u15379) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15377, _u15378, _u15379, _u15380, hAPP(hAPP(c_Set_Oinsert(_u15377), _u15381), _u15382)), _u15383)) | hBOOL(hAPP(hAPP(c_member(_u15377), _u15381), _u15382)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15377, _u15378, _u15379, _u15380, _u15382), skolem398(_u15383, _u15382, _u15381, _u15380, _u15379, _u15378, _u15377))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_Ofold__sup__le__sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_Ofold__sup__le__sup-1, axiom, ( ~class_Orderings_Olinorder(_u15385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15385), _u15386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15385), hAPP(hAPP(c_Finite__Set_Ofold(_u15385, _u15385, c_Orderings_Oord__class_Omax(_u15385)), _u15388), _u15386)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15385), _u15387), _u15388))) | hBOOL(hAPP(hAPP(c_member(_u15385), skolem399(_u15388, _u15387, _u15386, _u15385)), _u15386)) )).
% 43.37/43.59 cnf(fact_min__max_Ofold__sup__le__sup-2, axiom, ( ~class_Orderings_Olinorder(_u15385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15385), _u15386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15385), hAPP(hAPP(c_Finite__Set_Ofold(_u15385, _u15385, c_Orderings_Oord__class_Omax(_u15385)), _u15388), _u15386)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15385), _u15387), _u15388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15385), skolem399(_u15388, _u15387, _u15386, _u15385)), _u15387)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_min__max_Oinf__le__fold__inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_min__max_Oinf__le__fold__inf-1, axiom, ( ~class_Orderings_Olinorder(_u15390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15390), _u15391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15390), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15390), _u15392), _u15393)), hAPP(hAPP(c_Finite__Set_Ofold(_u15390, _u15390, c_Orderings_Oord__class_Omin(_u15390)), _u15393), _u15391))) | hBOOL(hAPP(hAPP(c_member(_u15390), skolem400(_u15393, _u15392, _u15391, _u15390)), _u15391)) )).
% 43.37/43.59 cnf(fact_min__max_Oinf__le__fold__inf-2, axiom, ( ~class_Orderings_Olinorder(_u15390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15390), _u15391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15390), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15390), _u15392), _u15393)), hAPP(hAPP(c_Finite__Set_Ofold(_u15390, _u15390, c_Orderings_Oord__class_Omin(_u15390)), _u15393), _u15391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15390), _u15392), skolem400(_u15393, _u15392, _u15391, _u15390))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_InterI ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_InterI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15395), _u15397), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15395, tc_HOL_Obool), _u15396))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15395, tc_HOL_Obool)), skolem401(_u15397, _u15396, _u15395)), _u15396)) )).
% 43.37/43.59 cnf(fact_InterI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15395), _u15397), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15395, tc_HOL_Obool), _u15396))) | ~hBOOL(hAPP(hAPP(c_member(_u15395), _u15397), skolem401(_u15397, _u15396, _u15395))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_inf__le__fold__inf ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_inf__le__fold__inf-1, axiom, ( ~class_Lattices_Osemilattice__inf(_u15399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15399), _u15400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15399), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15399), _u15401), _u15402)), hAPP(hAPP(c_Finite__Set_Ofold(_u15399, _u15399, c_Lattices_Osemilattice__inf__class_Oinf(_u15399)), _u15402), _u15400))) | hBOOL(hAPP(hAPP(c_member(_u15399), skolem402(_u15402, _u15401, _u15400, _u15399)), _u15400)) )).
% 43.37/43.59 cnf(fact_inf__le__fold__inf-2, axiom, ( ~class_Lattices_Osemilattice__inf(_u15399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15399), _u15400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15399), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15399), _u15401), _u15402)), hAPP(hAPP(c_Finite__Set_Ofold(_u15399, _u15399, c_Lattices_Osemilattice__inf__class_Oinf(_u15399)), _u15402), _u15400))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15399), _u15401), skolem402(_u15402, _u15401, _u15400, _u15399))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_fold__sup__le__sup ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_fold__sup__le__sup-1, axiom, ( ~class_Lattices_Osemilattice__sup(_u15404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15404), _u15405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15404), hAPP(hAPP(c_Finite__Set_Ofold(_u15404, _u15404, c_Lattices_Osemilattice__sup__class_Osup(_u15404)), _u15407), _u15405)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15404), _u15406), _u15407))) | hBOOL(hAPP(hAPP(c_member(_u15404), skolem403(_u15407, _u15406, _u15405, _u15404)), _u15405)) )).
% 43.37/43.59 cnf(fact_fold__sup__le__sup-2, axiom, ( ~class_Lattices_Osemilattice__sup(_u15404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15404), _u15405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15404), hAPP(hAPP(c_Finite__Set_Ofold(_u15404, _u15404, c_Lattices_Osemilattice__sup__class_Osup(_u15404)), _u15407), _u15405)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15404), _u15406), _u15407))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15404), skolem403(_u15407, _u15406, _u15405, _u15404)), _u15406)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_mod__div__decomp ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_mod__div__decomp-1, axiom, ( ~class_Divides_Osemiring__div(_u15408) | ( _u15409 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15408), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15408), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u15408), _u15409), _u15410)), _u15410)), c_Divides_Odiv__class_Omod(_u15408, _u15409, _u15410))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_wf__eq__minimal ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_wf__eq__minimal-1, axiom, ( ~c_Wellfounded_Owf(_u15421, _u15423) | ~hBOOL(hAPP(hAPP(c_member(_u15421), _u15411), _u15414)) | hBOOL(hAPP(hAPP(c_member(_u15421), skolem404(_u15423, _u15421, _u15414)), _u15414)) )).
% 43.37/43.59 cnf(fact_wf__eq__minimal-2, axiom, ( ~c_Wellfounded_Owf(_u15421, _u15423) | ~hBOOL(hAPP(hAPP(c_member(_u15421), _u15411), _u15414)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15421, _u15421)), hAPP(hAPP(c_Product__Type_OPair(_u15421, _u15421), _u15412), skolem404(_u15423, _u15421, _u15414))), _u15423)) | ~hBOOL(hAPP(hAPP(c_member(_u15421), _u15412), _u15414)) )).
% 43.37/43.59 cnf(fact_wf__eq__minimal-3, axiom, ( c_Wellfounded_Owf(_u15422, _u15424) | hBOOL(hAPP(hAPP(c_member(_u15422), skolem406(_u15424, _u15422)), skolem405(_u15424, _u15422))) )).
% 43.37/43.59 cnf(fact_wf__eq__minimal-4, axiom, ( c_Wellfounded_Owf(_u15422, _u15424) | ~hBOOL(hAPP(hAPP(c_member(_u15422), _u15417), skolem405(_u15424, _u15422))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15422, _u15422)), hAPP(hAPP(c_Product__Type_OPair(_u15422, _u15422), skolem407(_u15424, _u15422, _u15417)), _u15417)), _u15424)) )).
% 43.37/43.59 cnf(fact_wf__eq__minimal-5, axiom, ( c_Wellfounded_Owf(_u15422, _u15424) | ~hBOOL(hAPP(hAPP(c_member(_u15422), _u15417), skolem405(_u15424, _u15422))) | hBOOL(hAPP(hAPP(c_member(_u15422), skolem407(_u15424, _u15422, _u15417)), skolem405(_u15424, _u15422))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__image__simple__idem_Ounion__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__image__simple__idem_Ounion__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15426), _u15431)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15426), _u15432)) | ( hAPP(_u15430, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15426, tc_HOL_Obool)), _u15431), _u15432)) = hAPP(hAPP(_u15427, hAPP(_u15430, _u15431)), hAPP(_u15430, _u15432))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15425, _u15426, _u15427, _u15428, _u15429, _u15430) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__image__simple__idem_Oidem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__image__simple__idem_Oidem-1, axiom, ( ( hAPP(hAPP(_u15435, _u15439), _u15439) = _u15439) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15433, _u15434, _u15435, _u15436, _u15437, _u15438) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__image__simple__idem_Oin__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__image__simple__idem_Oin__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15441), _u15446)) | ~hBOOL(hAPP(hAPP(c_member(_u15441), _u15447), _u15446)) | ( hAPP(hAPP(_u15442, hAPP(_u15444, _u15447)), hAPP(_u15445, _u15446)) = hAPP(_u15445, _u15446)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15440, _u15441, _u15442, _u15443, _u15444, _u15445) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__image__simple__idem_Oinsert__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__image__simple__idem_Oinsert__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15449), _u15454)) | ( hAPP(_u15453, hAPP(hAPP(c_Set_Oinsert(_u15449), _u15455), _u15454)) = hAPP(hAPP(_u15450, hAPP(_u15452, _u15455)), hAPP(_u15453, _u15454))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15448, _u15449, _u15450, _u15451, _u15452, _u15453) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_folding__image__simple__idem_Osubset__idem ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_folding__image__simple__idem_Osubset__idem-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15457), _u15462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15457, tc_HOL_Obool)), _u15463), _u15462)) | ( hAPP(hAPP(_u15458, hAPP(_u15461, _u15463)), hAPP(_u15461, _u15462)) = hAPP(_u15461, _u15462)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15456, _u15457, _u15458, _u15459, _u15460, _u15461) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_transfer__nat__int__set__cong ( axiom ) converted to clauses:
% 43.37/43.59 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)))), _u15465)) = 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)))), _u15466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem408(_u15466, _u15465))) )).
% 43.37/43.59 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)))), _u15465)) = 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)))), _u15466))) | hBOOL(hAPP(_u15465, skolem408(_u15466, _u15465))) | hBOOL(hAPP(_u15466, skolem408(_u15466, _u15465))) )).
% 43.37/43.59 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)))), _u15465)) = 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)))), _u15466))) | ~hBOOL(hAPP(_u15466, skolem408(_u15466, _u15465))) | ~hBOOL(hAPP(_u15465, skolem408(_u15466, _u15465))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Int__Collect__mono ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Int__Collect__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), _u15469), _u15470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15469), hAPP(c_Set_OCollect(_u15468), _u15471))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15470), hAPP(c_Set_OCollect(_u15468), _u15472)))) | hBOOL(hAPP(hAPP(c_member(_u15468), skolem409(_u15472, _u15471, _u15470, _u15469, _u15468)), _u15469)) )).
% 43.37/43.59 cnf(fact_Int__Collect__mono-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), _u15469), _u15470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15469), hAPP(c_Set_OCollect(_u15468), _u15471))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15470), hAPP(c_Set_OCollect(_u15468), _u15472)))) | hBOOL(hAPP(_u15471, skolem409(_u15472, _u15471, _u15470, _u15469, _u15468))) )).
% 43.37/43.59 cnf(fact_Int__Collect__mono-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), _u15469), _u15470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15469), hAPP(c_Set_OCollect(_u15468), _u15471))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15470), hAPP(c_Set_OCollect(_u15468), _u15472)))) | ~hBOOL(hAPP(_u15472, skolem409(_u15472, _u15471, _u15470, _u15469, _u15468))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_UnionE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_UnionE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15474), _u15475), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15474, tc_HOL_Obool), _u15476))) | hBOOL(hAPP(hAPP(c_member(_u15474), _u15475), skolem410(_u15476, _u15475, _u15474))) )).
% 43.37/43.59 cnf(fact_UnionE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15474), _u15475), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15474, tc_HOL_Obool), _u15476))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15474, tc_HOL_Obool)), skolem410(_u15476, _u15475, _u15474)), _u15476)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rel__compE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rel__compE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15481)), _u15482), hAPP(hAPP(c_Relation_Orel__comp(_u15480, _u15483, _u15481), _u15484), _u15485))) | ( _u15482 = hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15481), skolem411(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480)), skolem413(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480))) )).
% 43.37/43.59 cnf(fact_rel__compE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15481)), _u15482), hAPP(hAPP(c_Relation_Orel__comp(_u15480, _u15483, _u15481), _u15484), _u15485))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15483)), hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15483), skolem411(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480)), skolem412(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480))), _u15484)) )).
% 43.37/43.59 cnf(fact_rel__compE-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15481)), _u15482), hAPP(hAPP(c_Relation_Orel__comp(_u15480, _u15483, _u15481), _u15484), _u15485))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15483, _u15481)), hAPP(hAPP(c_Product__Type_OPair(_u15483, _u15481), skolem412(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480)), skolem413(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480))), _u15485)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_converseE ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_converseE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15488, _u15489)), _u15490), hAPP(c_Relation_Oconverse(_u15489, _u15488), _u15491))) | ( _u15490 = hAPP(hAPP(c_Product__Type_OPair(_u15488, _u15489), skolem415(_u15491, _u15490, _u15489, _u15488)), skolem414(_u15491, _u15490, _u15489, _u15488))) )).
% 43.37/43.59 cnf(fact_converseE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15488, _u15489)), _u15490), hAPP(c_Relation_Oconverse(_u15489, _u15488), _u15491))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15489, _u15488)), hAPP(hAPP(c_Product__Type_OPair(_u15489, _u15488), skolem414(_u15491, _u15490, _u15489, _u15488)), skolem415(_u15491, _u15490, _u15489, _u15488))), _u15491)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Oplus__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Oplus__frac__def-1, axiom, ( ( c_Nitpick_Oplus__frac(_u15492, _u15493, _u15494) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u15492), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u15492), _u15493), hAPP(c_Nitpick_Odenom(_u15492), _u15494))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u15492), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u15492), tc_Int_Oint), c_Nitpick_Ofrac(_u15492)), 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(_u15492), _u15493))), 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(_u15492), _u15493))))), 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(_u15492), _u15494))), 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(_u15492), _u15494)))))), c_COMBI(tc_Int_Oint)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Otimes__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Otimes__frac__def-1, axiom, ( ( c_Nitpick_Otimes__frac(_u15495, _u15496, _u15497) = hAPP(hAPP(c_Nitpick_Ofrac(_u15495), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15495), _u15496)), hAPP(c_Nitpick_Onum(_u15495), _u15497))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u15495), _u15496)), hAPP(c_Nitpick_Odenom(_u15495), _u15497)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Oof__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Oof__frac__def-1, axiom, ( ~class_Rings_Oinverse(_u15498) | ~class_Rings_Oring__1(_u15498) | ( c_Nitpick_Oof__frac(_u15499, _u15498, _u15500) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u15498), hAPP(c_Int_Oring__1__class_Oof__int(_u15498), hAPP(c_Nitpick_Onum(_u15499), _u15500))), hAPP(c_Int_Oring__1__class_Oof__int(_u15498), hAPP(c_Nitpick_Odenom(_u15499), _u15500)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Oinverse__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Oinverse__frac__def-1, axiom, ( ( c_Nitpick_Oinverse__frac(_u15501, _u15502) = hAPP(hAPP(c_Nitpick_Ofrac(_u15501), hAPP(c_Nitpick_Odenom(_u15501), _u15502)), hAPP(c_Nitpick_Onum(_u15501), _u15502))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Ouminus__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Ouminus__frac__def-1, axiom, ( ( c_Nitpick_Ouminus__frac(_u15503, _u15504) = c_Nitpick_OAbs__Frac(_u15503, 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(_u15503), _u15504))), hAPP(c_Nitpick_Odenom(_u15503), _u15504)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Oless__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Oless__frac__def-1, axiom, ( ~c_Nitpick_Oless__frac(_u15508, _u15510, _u15512) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15508), c_Nitpick_Oplus__frac(_u15508, _u15510, c_Nitpick_Ouminus__frac(_u15508, _u15512)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.59 cnf(fact_Nitpick_Oless__frac__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15509), c_Nitpick_Oplus__frac(_u15509, _u15511, c_Nitpick_Ouminus__frac(_u15509, _u15513)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u15509, _u15511, _u15513) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Oless__eq__frac__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Oless__eq__frac__def-1, axiom, ( ~c_Nitpick_Oless__eq__frac(_u15517, _u15519, _u15521) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15517), c_Nitpick_Oplus__frac(_u15517, _u15519, c_Nitpick_Ouminus__frac(_u15517, _u15521)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.59 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(_u15518), c_Nitpick_Oplus__frac(_u15518, _u15520, c_Nitpick_Ouminus__frac(_u15518, _u15522)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u15518, _u15520, _u15522) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Odenom__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Odenom__def-1, axiom, ( ( c_Nitpick_Odenom(_u15523) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u15523, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u15523))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Nitpick_Onum__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Nitpick_Onum__def-1, axiom, ( ( c_Nitpick_Onum(_u15524) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u15524, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u15524))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setprod__pos ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setprod__pos-1, axiom, ( ~class_Rings_Olinordered__semidom(_u15526) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15526), c_Groups_Ozero__class_Ozero(_u15526)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15527, _u15526), _u15529), _u15528))) | hBOOL(hAPP(hAPP(c_member(_u15527), skolem416(_u15529, _u15528, _u15527, _u15526)), _u15528)) )).
% 43.37/43.59 cnf(fact_setprod__pos-2, axiom, ( ~class_Rings_Olinordered__semidom(_u15526) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15526), c_Groups_Ozero__class_Ozero(_u15526)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15527, _u15526), _u15529), _u15528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15526), c_Groups_Ozero__class_Ozero(_u15526)), hAPP(_u15529, skolem416(_u15529, _u15528, _u15527, _u15526)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_internal__split__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_internal__split__def-1, axiom, ( ( c_Product__Type_Ointernal__split(_u15530, _u15531, _u15532) = c_Product__Type_Oprod_Oprod__case(_u15530, _u15531, _u15532)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_internal__split__conv ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_internal__split__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u15533, _u15534, _u15535), _u15536), hAPP(hAPP(c_Product__Type_OPair(_u15533, _u15534), _u15537), _u15538)) = hAPP(hAPP(_u15536, _u15537), _u15538)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_setprod__nonneg ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_setprod__nonneg-1, axiom, ( ~class_Rings_Olinordered__semidom(_u15540) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15540), c_Groups_Ozero__class_Ozero(_u15540)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15541, _u15540), _u15543), _u15542))) | hBOOL(hAPP(hAPP(c_member(_u15541), skolem417(_u15543, _u15542, _u15541, _u15540)), _u15542)) )).
% 43.37/43.59 cnf(fact_setprod__nonneg-2, axiom, ( ~class_Rings_Olinordered__semidom(_u15540) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15540), c_Groups_Ozero__class_Ozero(_u15540)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15541, _u15540), _u15543), _u15542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15540), c_Groups_Ozero__class_Ozero(_u15540)), hAPP(_u15543, skolem417(_u15543, _u15542, _u15541, _u15540)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_bool_Osize_I2_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_bool_Osize_I2_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_bool_Osize_I1_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_bool_Osize_I1_J-1, axiom, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_finite__less__ub ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_finite__less__ub-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem418(_u15546, _u15545)), hAPP(_u15545, skolem418(_u15546, _u15545)))) | 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)), _u15545)), _u15546)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_lenlex__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_lenlex__def-1, axiom, ( ( c_List_Olenlex(_u15547, _u15548) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u15547)), tc_List_Olist(_u15547)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u15547), c_Wellfounded_Oless__than, c_List_Olex(_u15547, _u15548))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15547), tc_List_Olist(_u15547), tc_prod(tc_Nat_Onat, tc_List_Olist(_u15547))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u15547), tc_prod(tc_Nat_Onat, tc_List_Olist(_u15547))), tc_List_Olist(_u15547)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u15547))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15547)))), c_COMBI(tc_List_Olist(_u15547))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_neq__if__length__neq ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_neq__if__length__neq-1, axiom, ( ( _u15550 != _u15551) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15549)), _u15550) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15549)), _u15551)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_lexn__length ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_lexn__length-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15552), tc_List_Olist(_u15552))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15552), tc_List_Olist(_u15552)), _u15553), _u15554)), hAPP(c_List_Olexn(_u15552, _u15555), _u15556))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15552)), _u15553) = _u15556) )).
% 43.37/43.59 cnf(fact_lexn__length-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15552), tc_List_Olist(_u15552))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15552), tc_List_Olist(_u15552)), _u15553), _u15554)), hAPP(c_List_Olexn(_u15552, _u15555), _u15556))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15552)), _u15554) = _u15556) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_lenlex__conv ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_lenlex__conv-1, axiom, ( ( c_List_Olenlex(_u15557, _u15558) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15557), tc_List_Olist(_u15557), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15557), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBS(tc_List_Olist(_u15557), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u15557)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15557)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15557), tc_fun(tc_List_Olist(_u15557), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15557), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15557))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15557)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15557))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15557)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15557), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBS(tc_List_Olist(_u15557), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u15557)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15557)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15557), tc_fun(tc_List_Olist(_u15557), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15557), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15557))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15557)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15557))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15557)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15557), tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBC(tc_List_Olist(_u15557), tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557))), tc_fun(tc_List_Olist(_u15557), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u15557)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15557)), c_member(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557))))), c_Product__Type_OPair(tc_List_Olist(_u15557), tc_List_Olist(_u15557))))), c_List_Olex(_u15557, _u15558))))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_length__sublists ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_length__sublists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15559))), c_Enum_Osublists(_u15559, _u15560)) = 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(_u15559)), _u15560))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_length__sublist ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_length__sublist-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15561)), c_List_Osublist(_u15561, _u15562, _u15563)) = 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(_u15561)), _u15562)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15563))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_lexn_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_lexn_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Olexn(_u15564, _u15565), hAPP(c_Nat_OSuc, _u15566)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u15564), tc_List_Olist(_u15564)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u15564, tc_List_Olist(_u15564)), tc_prod(_u15564, tc_List_Olist(_u15564))), tc_prod(tc_List_Olist(_u15564), tc_List_Olist(_u15564)), c_Product__Type_Omap__pair(tc_prod(_u15564, tc_List_Olist(_u15564)), tc_List_Olist(_u15564), tc_prod(_u15564, tc_List_Olist(_u15564)), tc_List_Olist(_u15564), hAPP(c_Product__Type_Oprod_Oprod__case(_u15564, tc_List_Olist(_u15564), tc_List_Olist(_u15564)), c_List_Olist_OCons(_u15564)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15564, tc_List_Olist(_u15564), tc_List_Olist(_u15564)), c_List_Olist_OCons(_u15564)))), c_Wellfounded_Olex__prod(_u15564, tc_List_Olist(_u15564), _u15565, hAPP(c_List_Olexn(_u15564, _u15565), _u15566)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u15564), tc_List_Olist(_u15564))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15564), tc_List_Olist(_u15564), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15564), tc_fun(tc_List_Olist(_u15564), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15564), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15564), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15564), tc_HOL_Obool)), tc_List_Olist(_u15564)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15564))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15564)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15564), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15564)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15564)))), hAPP(c_Nat_OSuc, _u15566))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15564), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15564)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15564)))), hAPP(c_Nat_OSuc, _u15566))))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_lexord__lex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_lexord__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15571), tc_List_Olist(_u15571))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15571), tc_List_Olist(_u15571)), _u15573), _u15575)), c_List_Olex(_u15571, _u15577))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15571), tc_List_Olist(_u15571))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15571), tc_List_Olist(_u15571)), _u15573), _u15575)), c_List_Olexord(_u15571, _u15577))) )).
% 43.37/43.59 cnf(fact_lexord__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15571), tc_List_Olist(_u15571))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15571), tc_List_Olist(_u15571)), _u15573), _u15575)), c_List_Olex(_u15571, _u15577))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15573) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15575)) )).
% 43.37/43.59 cnf(fact_lexord__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15572), tc_List_Olist(_u15572))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15572), tc_List_Olist(_u15572)), _u15574), _u15576)), c_List_Olexord(_u15572, _u15578))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15572)), _u15574) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15572)), _u15576)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15572), tc_List_Olist(_u15572))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15572), tc_List_Olist(_u15572)), _u15574), _u15576)), c_List_Olex(_u15572, _u15578))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_impossible__Cons ( axiom ) converted to clauses:
% 43.37/43.59 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(_u15579)), _u15580)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15579)), _u15581))) | ( _u15580 != hAPP(hAPP(c_List_Olist_OCons(_u15579), _u15582), _u15581)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_lexord__cons__cons ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_lexord__cons__cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15589), tc_List_Olist(_u15589))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15589), tc_List_Olist(_u15589)), hAPP(hAPP(c_List_Olist_OCons(_u15589), _u15591), _u15593)), hAPP(hAPP(c_List_Olist_OCons(_u15589), _u15595), _u15597))), c_List_Olexord(_u15589, _u15599))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15589, _u15589)), hAPP(hAPP(c_Product__Type_OPair(_u15589, _u15589), _u15591), _u15595)), _u15599)) | ( _u15591 = _u15595) )).
% 43.37/43.59 cnf(fact_lexord__cons__cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15589), tc_List_Olist(_u15589))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15589), tc_List_Olist(_u15589)), hAPP(hAPP(c_List_Olist_OCons(_u15589), _u15591), _u15593)), hAPP(hAPP(c_List_Olist_OCons(_u15589), _u15595), _u15597))), c_List_Olexord(_u15589, _u15599))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15589, _u15589)), hAPP(hAPP(c_Product__Type_OPair(_u15589, _u15589), _u15591), _u15595)), _u15599)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15589), tc_List_Olist(_u15589))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15589), tc_List_Olist(_u15589)), _u15593), _u15597)), c_List_Olexord(_u15589, _u15599))) )).
% 43.37/43.59 cnf(fact_lexord__cons__cons-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15590), tc_List_Olist(_u15590))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15590), tc_List_Olist(_u15590)), hAPP(hAPP(c_List_Olist_OCons(_u15590), _u15592), _u15594)), hAPP(hAPP(c_List_Olist_OCons(_u15590), _u15596), _u15598))), c_List_Olexord(_u15590, _u15600))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), hAPP(hAPP(c_Product__Type_OPair(_u15590, _u15590), _u15592), _u15596)), _u15600)) )).
% 43.37/43.59 cnf(fact_lexord__cons__cons-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15590), tc_List_Olist(_u15590))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15590), tc_List_Olist(_u15590)), hAPP(hAPP(c_List_Olist_OCons(_u15590), _u15592), _u15594)), hAPP(hAPP(c_List_Olist_OCons(_u15590), _u15596), _u15598))), c_List_Olexord(_u15590, _u15600))) | ( _u15592 != _u15596) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15590), tc_List_Olist(_u15590))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15590), tc_List_Olist(_u15590)), _u15594), _u15598)), c_List_Olexord(_u15590, _u15600))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_list_Oinject ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_list_Oinject-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15606), _u15608), _u15610) != hAPP(hAPP(c_List_Olist_OCons(_u15606), _u15612), _u15614)) | ( _u15608 = _u15612) )).
% 43.37/43.59 cnf(fact_list_Oinject-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15606), _u15608), _u15610) != hAPP(hAPP(c_List_Olist_OCons(_u15606), _u15612), _u15614)) | ( _u15610 = _u15614) )).
% 43.37/43.59 cnf(fact_list_Oinject-3, axiom, ( ( _u15609 != _u15613) | ( _u15611 != _u15615) | ( hAPP(hAPP(c_List_Olist_OCons(_u15607), _u15609), _u15611) = hAPP(hAPP(c_List_Olist_OCons(_u15607), _u15613), _u15615)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_not__Cons__self2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_not__Cons__self2-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15616), _u15617), _u15618) != _u15618) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_not__Cons__self ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_not__Cons__self-1, axiom, ( ( _u15619 != hAPP(hAPP(c_List_Olist_OCons(_u15620), _u15621), _u15619)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_list_Osize_I4_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_list_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15622)), hAPP(hAPP(c_List_Olist_OCons(_u15622), _u15623), _u15624)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15622)), _u15624)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Cons__in__lex ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Cons__in__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15633), _u15635)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15637), _u15639))), c_List_Olex(_u15631, _u15641))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15633), _u15637)), _u15641)) | ( _u15633 = _u15637) )).
% 43.37/43.59 cnf(fact_Cons__in__lex-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15633), _u15635)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15637), _u15639))), c_List_Olex(_u15631, _u15641))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15633), _u15637)), _u15641)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), _u15635), _u15639)), c_List_Olex(_u15631, _u15641))) )).
% 43.37/43.59 cnf(fact_Cons__in__lex-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15633), _u15635)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15637), _u15639))), c_List_Olex(_u15631, _u15641))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15631)), _u15635) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15631)), _u15639)) | ( _u15633 = _u15637) )).
% 43.37/43.59 cnf(fact_Cons__in__lex-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15633), _u15635)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15637), _u15639))), c_List_Olex(_u15631, _u15641))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15631)), _u15635) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15631)), _u15639)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), _u15635), _u15639)), c_List_Olex(_u15631, _u15641))) )).
% 43.37/43.59 cnf(fact_Cons__in__lex-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15632), tc_List_Olist(_u15632))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15632), tc_List_Olist(_u15632)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15634), _u15636)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15638), _u15640))), c_List_Olex(_u15632, _u15642))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15632, _u15632)), hAPP(hAPP(c_Product__Type_OPair(_u15632, _u15632), _u15634), _u15638)), _u15642)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15632)), _u15636) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15632)), _u15640)) )).
% 43.37/43.59 cnf(fact_Cons__in__lex-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15632), tc_List_Olist(_u15632))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15632), tc_List_Olist(_u15632)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15634), _u15636)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15638), _u15640))), c_List_Olex(_u15632, _u15642))) | ( _u15634 != _u15638) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15632), tc_List_Olist(_u15632))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15632), tc_List_Olist(_u15632)), _u15636), _u15640)), c_List_Olex(_u15632, _u15642))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_set__Cons__def ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_set__Cons__def-1, axiom, ( ( c_List_Oset__Cons(_u15643, _u15644, _u15645) = hAPP(c_Set_OCollect(tc_List_Olist(_u15643)), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u15643)), c_HOL_OEx(_u15643)), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(_u15643, tc_HOL_Obool), tc_List_Olist(_u15643)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_HOL_Obool, _u15643), c_HOL_OEx(tc_List_Olist(_u15643)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15643), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_fun(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), tc_fun(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), tc_List_Olist(_u15643)), c_COMBS(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u15643, tc_fun(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), tc_List_Olist(_u15643)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), _u15643), c_COMBS(tc_List_Olist(_u15643), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u15643)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15643), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15643)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15643), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643))), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643)), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643))), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), tc_List_Olist(_u15643)), c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643)), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), _u15643)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643)), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_List_Olist(_u15643)), c_COMBB(tc_List_Olist(_u15643), tc_HOL_Obool, tc_List_Olist(_u15643))), c_fequal))), c_List_Olist_OCons(_u15643)))))), hAPP(hAPP(c_COMBC(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), _u15643), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15643))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15643), c_fconj), hAPP(hAPP(c_COMBC(_u15643, tc_fun(_u15643, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15643)), _u15644)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15643), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u15643))), _u15645))))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_pick_Osimps ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_pick_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15650), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15652), _u15654))) | ( hAPP(c_Random_Opick(_u15652, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15652)), _u15654), _u15656)), _u15650) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15652), _u15654)) )).
% 43.37/43.59 cnf(fact_pick_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15651), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15653), _u15655))) | ( hAPP(c_Random_Opick(_u15653, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15653)), _u15655), _u15657)), _u15651) = hAPP(c_Random_Opick(_u15653, _u15657), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15651), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15653), _u15655)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_select__weight__cons__zero ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_select__weight__cons__zero-1, axiom, ( ( c_Random_Oselect__weight(_u15658, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15658)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15658), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15659)), _u15660)) = c_Random_Oselect__weight(_u15658, _u15660)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__listrel1__ConsI2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__listrel1__ConsI2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), _u15662), _u15663)), c_Transitive__Closure_Ortrancl(_u15661, _u15664))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15661), tc_List_Olist(_u15661))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15661), tc_List_Olist(_u15661)), _u15665), _u15666)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15661), c_List_Olistrel1(_u15661, _u15664)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15661), tc_List_Olist(_u15661))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15661), tc_List_Olist(_u15661)), hAPP(hAPP(c_List_Olist_OCons(_u15661), _u15662), _u15665)), hAPP(hAPP(c_List_Olist_OCons(_u15661), _u15663), _u15666))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15661), c_List_Olistrel1(_u15661, _u15664)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Cons__acc__listrel1I ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Cons__acc__listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15667), _u15668), c_Wellfounded_Oacc(_u15667, _u15669))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15667)), _u15670), c_Wellfounded_Oacc(tc_List_Olist(_u15667), c_List_Olistrel1(_u15667, _u15669)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15667)), hAPP(hAPP(c_List_Olist_OCons(_u15667), _u15668), _u15670)), c_Wellfounded_Oacc(tc_List_Olist(_u15667), c_List_Olistrel1(_u15667, _u15669)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel1__rtrancl__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 43.37/43.59 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(_u15671), tc_List_Olist(_u15671)), tc_HOL_Obool)), c_List_Olistrel1(_u15671, c_Transitive__Closure_Ortrancl(_u15671, _u15672))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15671), c_List_Olistrel1(_u15671, _u15672)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel1__mono ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel1__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15673, _u15673), tc_HOL_Obool)), _u15674), _u15675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15673), tc_List_Olist(_u15673)), tc_HOL_Obool)), c_List_Olistrel1(_u15673, _u15674)), c_List_Olistrel1(_u15673, _u15675))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel1__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel1__converse-1, axiom, ( ( c_List_Olistrel1(_u15676, hAPP(c_Relation_Oconverse(_u15676, _u15676), _u15677)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u15676), tc_List_Olist(_u15676)), c_List_Olistrel1(_u15676, _u15677))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__listrel1__ConsI1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__listrel1__ConsI1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15678), tc_List_Olist(_u15678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15678), tc_List_Olist(_u15678)), _u15679), _u15680)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15678), c_List_Olistrel1(_u15678, _u15681)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15678), tc_List_Olist(_u15678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15678), tc_List_Olist(_u15678)), hAPP(hAPP(c_List_Olist_OCons(_u15678), _u15682), _u15679)), hAPP(hAPP(c_List_Olist_OCons(_u15678), _u15682), _u15680))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15678), c_List_Olistrel1(_u15678, _u15681)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel1I2 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel1I2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15683), tc_List_Olist(_u15683))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15683), tc_List_Olist(_u15683)), _u15684), _u15685)), c_List_Olistrel1(_u15683, _u15686))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15683), tc_List_Olist(_u15683))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15683), tc_List_Olist(_u15683)), hAPP(hAPP(c_List_Olist_OCons(_u15683), _u15687), _u15684)), hAPP(hAPP(c_List_Olist_OCons(_u15683), _u15687), _u15685))), c_List_Olistrel1(_u15683, _u15686))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel1__eq__len ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15688), tc_List_Olist(_u15688))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15688), tc_List_Olist(_u15688)), _u15689), _u15690)), c_List_Olistrel1(_u15688, _u15691))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15688)), _u15689) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15688)), _u15690)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_rtrancl__listrel1__eq__len ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_rtrancl__listrel1__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15692), tc_List_Olist(_u15692))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15692), tc_List_Olist(_u15692)), _u15693), _u15694)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15692), c_List_Olistrel1(_u15692, _u15695)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15692)), _u15693) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15692)), _u15694)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_in__listrel1__converse ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_in__listrel1__converse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15700), tc_List_Olist(_u15700))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15700), tc_List_Olist(_u15700)), _u15702), _u15704)), c_List_Olistrel1(_u15700, hAPP(c_Relation_Oconverse(_u15700, _u15700), _u15706)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15700), tc_List_Olist(_u15700))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15700), tc_List_Olist(_u15700)), _u15702), _u15704)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15700), tc_List_Olist(_u15700)), c_List_Olistrel1(_u15700, _u15706)))) )).
% 43.37/43.59 cnf(fact_in__listrel1__converse-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15701), tc_List_Olist(_u15701))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15701), tc_List_Olist(_u15701)), _u15703), _u15705)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15701), tc_List_Olist(_u15701)), c_List_Olistrel1(_u15701, _u15707)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15701), tc_List_Olist(_u15701))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15701), tc_List_Olist(_u15701)), _u15703), _u15705)), c_List_Olistrel1(_u15701, hAPP(c_Relation_Oconverse(_u15701, _u15701), _u15707)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_Cons__listrel1__Cons ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_Cons__listrel1__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15716), _u15718)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15720), _u15722))), c_List_Olistrel1(_u15714, _u15724))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15714, _u15714)), hAPP(hAPP(c_Product__Type_OPair(_u15714, _u15714), _u15716), _u15720)), _u15724)) | ( _u15716 = _u15720) )).
% 43.37/43.59 cnf(fact_Cons__listrel1__Cons-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15716), _u15718)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15720), _u15722))), c_List_Olistrel1(_u15714, _u15724))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15714, _u15714)), hAPP(hAPP(c_Product__Type_OPair(_u15714, _u15714), _u15716), _u15720)), _u15724)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), _u15718), _u15722)), c_List_Olistrel1(_u15714, _u15724))) )).
% 43.37/43.59 cnf(fact_Cons__listrel1__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15716), _u15718)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15720), _u15722))), c_List_Olistrel1(_u15714, _u15724))) | ( _u15718 = _u15722) | ( _u15716 = _u15720) )).
% 43.37/43.59 cnf(fact_Cons__listrel1__Cons-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15716), _u15718)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15720), _u15722))), c_List_Olistrel1(_u15714, _u15724))) | ( _u15718 = _u15722) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), _u15718), _u15722)), c_List_Olistrel1(_u15714, _u15724))) )).
% 43.37/43.59 cnf(fact_Cons__listrel1__Cons-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15715), tc_List_Olist(_u15715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15715), tc_List_Olist(_u15715)), hAPP(hAPP(c_List_Olist_OCons(_u15715), _u15717), _u15719)), hAPP(hAPP(c_List_Olist_OCons(_u15715), _u15721), _u15723))), c_List_Olistrel1(_u15715, _u15725))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15715, _u15715)), hAPP(hAPP(c_Product__Type_OPair(_u15715, _u15715), _u15717), _u15721)), _u15725)) | ( _u15719 != _u15723) )).
% 43.37/43.59 cnf(fact_Cons__listrel1__Cons-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15715), tc_List_Olist(_u15715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15715), tc_List_Olist(_u15715)), hAPP(hAPP(c_List_Olist_OCons(_u15715), _u15717), _u15719)), hAPP(hAPP(c_List_Olist_OCons(_u15715), _u15721), _u15723))), c_List_Olistrel1(_u15715, _u15725))) | ( _u15717 != _u15721) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15715), tc_List_Olist(_u15715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15715), tc_List_Olist(_u15715)), _u15719), _u15723)), c_List_Olistrel1(_u15715, _u15725))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel1I1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel1I1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15726, _u15726)), hAPP(hAPP(c_Product__Type_OPair(_u15726, _u15726), _u15727), _u15728)), _u15729)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15726), tc_List_Olist(_u15726))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15726), tc_List_Olist(_u15726)), hAPP(hAPP(c_List_Olist_OCons(_u15726), _u15727), _u15730)), hAPP(hAPP(c_List_Olist_OCons(_u15726), _u15728), _u15730))), c_List_Olistrel1(_u15726, _u15729))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_list_Osize_I2_J ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_list_Osize_I2_J-1, axiom, ( ( c_List_Olist_Olist__size(_u15731, _u15732, hAPP(hAPP(c_List_Olist_OCons(_u15731), _u15733), _u15734)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u15732, _u15733)), c_List_Olist_Olist__size(_u15731, _u15732, _u15734))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel__Cons ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel__Cons-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15735), tc_List_Olist(_u15735), c_List_Olistrel(_u15735, _u15736)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15735)), hAPP(hAPP(c_List_Olist_OCons(_u15735), _u15737), _u15738)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15735), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15735, hAPP(c_Relation_OImage(_u15735, _u15735, _u15736), hAPP(hAPP(c_Set_Oinsert(_u15735), _u15737), c_Orderings_Obot__class_Obot(tc_fun(_u15735, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15735), tc_List_Olist(_u15735), c_List_Olistrel(_u15735, _u15736)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15735)), _u15738), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15735), tc_HOL_Obool)))))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel__rtrancl__refl ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel__rtrancl__refl-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15739), tc_List_Olist(_u15739))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15739), tc_List_Olist(_u15739)), _u15740), _u15740)), c_List_Olistrel(_u15739, c_Transitive__Closure_Ortrancl(_u15739, _u15741)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel__mono ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15742, _u15742), tc_HOL_Obool)), _u15743), _u15744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15742), tc_List_Olist(_u15742)), tc_HOL_Obool)), c_List_Olistrel(_u15742, _u15743)), c_List_Olistrel(_u15742, _u15744))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel__subset__rtrancl__listrel1 ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel__subset__rtrancl__listrel1-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15745), tc_List_Olist(_u15745)), tc_HOL_Obool)), c_List_Olistrel(_u15745, _u15746)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15745), c_List_Olistrel1(_u15745, _u15746)))) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel__eq__len ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel__eq__len-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15747), tc_List_Olist(_u15747))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15747), tc_List_Olist(_u15747)), _u15748), _u15749)), c_List_Olistrel(_u15747, _u15750))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15747)), _u15748) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15747)), _u15749)) )).
% 43.37/43.59
% 43.37/43.59 % Formula: fact_listrel__rtrancl__trans ( axiom ) converted to clauses:
% 43.37/43.59 cnf(fact_listrel__rtrancl__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15751), tc_List_Olist(_u15751))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15751), tc_List_Olist(_u15751)), _u15752), _u15753)), c_List_Olistrel(_u15751, c_Transitive__Closure_Ortrancl(_u15751, _u15754)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15751), tc_List_Olist(_u15751))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15751), tc_List_Olist(_u15751)), _u15753), _u15755)), c_List_Olistrel(_u15751, c_Transitive__Closure_Ortrancl(_u15751, _u15754)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15751), tc_List_Olist(_u15751))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15751), tc_List_Olist(_u15751)), _u15752), _u15755)), c_List_Olistrel(_u15751, c_Transitive__Closure_Ortrancl(_u15751, _u15754)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__rtrancl__eq__rtrancl__listrel1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__rtrancl__eq__rtrancl__listrel1-1, axiom, ( ( c_List_Olistrel(_u15756, c_Transitive__Closure_Ortrancl(_u15756, _u15757)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15756), c_List_Olistrel1(_u15756, _u15757))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__reflcl__if__listrel1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__reflcl__if__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15758), tc_List_Olist(_u15758))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15758), tc_List_Olist(_u15758)), _u15759), _u15760)), c_List_Olistrel1(_u15758, _u15761))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15758), tc_List_Olist(_u15758))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15758), tc_List_Olist(_u15758)), _u15759), _u15760)), c_List_Olistrel(_u15758, c_Transitive__Closure_Ortrancl(_u15758, _u15761)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel1__subset__listrel ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel1__subset__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15762, _u15762), tc_HOL_Obool)), _u15763), _u15764)) | ~c_Relation_Orefl__on(_u15762, c_Orderings_Otop__class_Otop(tc_fun(_u15762, tc_HOL_Obool)), _u15764) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15762), tc_List_Olist(_u15762)), tc_HOL_Obool)), c_List_Olistrel1(_u15762, _u15763)), c_List_Olistrel(_u15762, _u15764))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rtrancl__listrel1__if__listrel ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rtrancl__listrel1__if__listrel-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15765), tc_List_Olist(_u15765))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15765), tc_List_Olist(_u15765)), _u15766), _u15767)), c_List_Olistrel(_u15765, _u15768))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15765), tc_List_Olist(_u15765))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15765), tc_List_Olist(_u15765)), _u15766), _u15767)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15765), c_List_Olistrel1(_u15765, _u15768)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel_OCons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_Product__Type_OPair(_u15769, _u15769), _u15770), _u15771)), _u15772)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15769), tc_List_Olist(_u15769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15769), tc_List_Olist(_u15769)), _u15773), _u15774)), c_List_Olistrel(_u15769, _u15772))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15769), tc_List_Olist(_u15769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15769), tc_List_Olist(_u15769)), hAPP(hAPP(c_List_Olist_OCons(_u15769), _u15770), _u15773)), hAPP(hAPP(c_List_Olist_OCons(_u15769), _u15771), _u15774))), c_List_Olistrel(_u15769, _u15772))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrelp__listrel__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrelp__listrel__eq-1, axiom, ( ~c_List_Olistrelp(_u15779, hAPP(hAPP(c_COMBC(_u15779, tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_fun(_u15779, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15779, tc_fun(tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_fun(_u15779, tc_HOL_Obool)), _u15779), c_COMBC(_u15779, tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15779, tc_prod(_u15779, _u15779)), tc_fun(_u15779, tc_fun(tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_HOL_Obool)), _u15779), hAPP(c_COMBB(tc_prod(_u15779, _u15779), tc_fun(tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_HOL_Obool), _u15779), c_member(tc_prod(_u15779, _u15779)))), c_Product__Type_OPair(_u15779, _u15779)))), _u15781), _u15783, _u15785) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15779), tc_List_Olist(_u15779))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15779), tc_List_Olist(_u15779)), _u15783), _u15785)), c_List_Olistrel(_u15779, _u15781))) )).
% 43.37/43.60 cnf(fact_listrelp__listrel__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15780), tc_List_Olist(_u15780))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15780), tc_List_Olist(_u15780)), _u15784), _u15786)), c_List_Olistrel(_u15780, _u15782))) | c_List_Olistrelp(_u15780, hAPP(hAPP(c_COMBC(_u15780, tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_fun(_u15780, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15780, tc_fun(tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_fun(_u15780, tc_HOL_Obool)), _u15780), c_COMBC(_u15780, tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15780, tc_prod(_u15780, _u15780)), tc_fun(_u15780, tc_fun(tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_HOL_Obool)), _u15780), hAPP(c_COMBB(tc_prod(_u15780, _u15780), tc_fun(tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_HOL_Obool), _u15780), c_member(tc_prod(_u15780, _u15780)))), c_Product__Type_OPair(_u15780, _u15780)))), _u15782), _u15784, _u15786) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__Cons1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__Cons1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15789), tc_List_Olist(_u15789))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15789), tc_List_Olist(_u15789)), hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15790), _u15791)), _u15792)), c_List_Olistrel(_u15789, _u15793))) | ( _u15792 = hAPP(hAPP(c_List_Olist_OCons(_u15789), skolem419(_u15793, _u15792, _u15791, _u15790, _u15789)), skolem420(_u15793, _u15792, _u15791, _u15790, _u15789))) )).
% 43.37/43.60 cnf(fact_listrel__Cons1-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15789), tc_List_Olist(_u15789))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15789), tc_List_Olist(_u15789)), hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15790), _u15791)), _u15792)), c_List_Olistrel(_u15789, _u15793))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15789, _u15789)), hAPP(hAPP(c_Product__Type_OPair(_u15789, _u15789), _u15790), skolem419(_u15793, _u15792, _u15791, _u15790, _u15789))), _u15793)) )).
% 43.37/43.60 cnf(fact_listrel__Cons1-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15789), tc_List_Olist(_u15789))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15789), tc_List_Olist(_u15789)), hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15790), _u15791)), _u15792)), c_List_Olistrel(_u15789, _u15793))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15789), tc_List_Olist(_u15789))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15789), tc_List_Olist(_u15789)), _u15791), skolem420(_u15793, _u15792, _u15791, _u15790, _u15789))), c_List_Olistrel(_u15789, _u15793))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrelp_OCons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrelp_OCons-1, axiom, ( ~hBOOL(hAPP(hAPP(_u15794, _u15795), _u15796)) | ~c_List_Olistrelp(_u15797, _u15794, _u15798, _u15799) | c_List_Olistrelp(_u15797, _u15794, hAPP(hAPP(c_List_Olist_OCons(_u15797), _u15795), _u15798), hAPP(hAPP(c_List_Olist_OCons(_u15797), _u15796), _u15799)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrelp_Oequations_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrelp_Oequations_I2_J-1, axiom, ( ~c_List_Olistrelp(_u15806, _u15808, hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15810), _u15812), hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15814), _u15816)) | hBOOL(hAPP(hAPP(_u15808, _u15810), _u15814)) )).
% 43.37/43.60 cnf(fact_listrelp_Oequations_I2_J-2, axiom, ( ~c_List_Olistrelp(_u15806, _u15808, hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15810), _u15812), hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15814), _u15816)) | c_List_Olistrelp(_u15806, _u15808, _u15812, _u15816) )).
% 43.37/43.60 cnf(fact_listrelp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(hAPP(_u15809, _u15811), _u15815)) | ~c_List_Olistrelp(_u15807, _u15809, _u15813, _u15817) | c_List_Olistrelp(_u15807, _u15809, hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15811), _u15813), hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15815), _u15817)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__Cons2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__Cons2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15820), tc_List_Olist(_u15820))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15820), tc_List_Olist(_u15820)), _u15821), hAPP(hAPP(c_List_Olist_OCons(_u15820), _u15822), _u15823))), c_List_Olistrel(_u15820, _u15824))) | ( _u15821 = hAPP(hAPP(c_List_Olist_OCons(_u15820), skolem421(_u15824, _u15823, _u15822, _u15821, _u15820)), skolem422(_u15824, _u15823, _u15822, _u15821, _u15820))) )).
% 43.37/43.60 cnf(fact_listrel__Cons2-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15820), tc_List_Olist(_u15820))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15820), tc_List_Olist(_u15820)), _u15821), hAPP(hAPP(c_List_Olist_OCons(_u15820), _u15822), _u15823))), c_List_Olistrel(_u15820, _u15824))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15820, _u15820)), hAPP(hAPP(c_Product__Type_OPair(_u15820, _u15820), skolem421(_u15824, _u15823, _u15822, _u15821, _u15820)), _u15822)), _u15824)) )).
% 43.37/43.60 cnf(fact_listrel__Cons2-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15820), tc_List_Olist(_u15820))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15820), tc_List_Olist(_u15820)), _u15821), hAPP(hAPP(c_List_Olist_OCons(_u15820), _u15822), _u15823))), c_List_Olistrel(_u15820, _u15824))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15820), tc_List_Olist(_u15820))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15820), tc_List_Olist(_u15820)), skolem422(_u15824, _u15823, _u15822, _u15821, _u15820)), _u15823)), c_List_Olistrel(_u15820, _u15824))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__subset ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15825, _u15825), tc_HOL_Obool)), _u15826), hAPP(hAPP(c_Product__Type_OSigma(_u15825, _u15825), _u15827), hAPP(c_COMBK(tc_fun(_u15825, tc_HOL_Obool), _u15825), _u15827)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15825), tc_List_Olist(_u15825)), tc_HOL_Obool)), c_List_Olistrel(_u15825, _u15826)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15825), tc_List_Olist(_u15825)), c_List_Olists(_u15825, _u15827)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15825), tc_HOL_Obool), tc_List_Olist(_u15825)), c_List_Olists(_u15825, _u15827))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists__UNIV ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists__UNIV-1, axiom, ( ( c_List_Olists(_u15828, c_Orderings_Otop__class_Otop(tc_fun(_u15828, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15828), tc_HOL_Obool))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists__mono ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15829, tc_HOL_Obool)), _u15830), _u15831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15829), tc_HOL_Obool)), c_List_Olists(_u15829, _u15830)), c_List_Olists(_u15829, _u15831))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_equiv__listrel ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_equiv__listrel-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u15832, _u15833, _u15834) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15832), c_List_Olists(_u15832, _u15833), c_List_Olistrel(_u15832, _u15834)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__refl__on ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__refl__on-1, axiom, ( ~c_Relation_Orefl__on(_u15835, _u15836, _u15837) | c_Relation_Orefl__on(tc_List_Olist(_u15835), c_List_Olists(_u15835, _u15836), c_List_Olistrel(_u15835, _u15837)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Cons__in__lists__iff ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Cons__in__lists__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15842)), hAPP(hAPP(c_List_Olist_OCons(_u15842), _u15844), _u15846)), c_List_Olists(_u15842, _u15848))) | hBOOL(hAPP(hAPP(c_member(_u15842), _u15844), _u15848)) )).
% 43.37/43.60 cnf(fact_Cons__in__lists__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15842)), hAPP(hAPP(c_List_Olist_OCons(_u15842), _u15844), _u15846)), c_List_Olists(_u15842, _u15848))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15842)), _u15846), c_List_Olists(_u15842, _u15848))) )).
% 43.37/43.60 cnf(fact_Cons__in__lists__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15843), _u15845), _u15849)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15843)), _u15847), c_List_Olists(_u15843, _u15849))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15843)), hAPP(hAPP(c_List_Olist_OCons(_u15843), _u15845), _u15847)), c_List_Olists(_u15843, _u15849))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists__accD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists__accD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15850)), _u15851), c_List_Olists(_u15850, c_Wellfounded_Oacc(_u15850, _u15852)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15850)), _u15851), c_Wellfounded_Oacc(tc_List_Olist(_u15850), c_List_Olistrel1(_u15850, _u15852)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists__accI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists__accI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15853)), _u15854), c_Wellfounded_Oacc(tc_List_Olist(_u15853), c_List_Olistrel1(_u15853, _u15855)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15853)), _u15854), c_List_Olists(_u15853, c_Wellfounded_Oacc(_u15853, _u15855)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__iff__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__iff__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15862), tc_List_Olist(_u15862))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15862), tc_List_Olist(_u15862)), _u15864), _u15866)), c_List_Olistrel(_u15862, _u15868))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15862)), _u15864) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15862)), _u15866)) )).
% 43.37/43.60 cnf(fact_listrel__iff__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15862), tc_List_Olist(_u15862))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15862), tc_List_Olist(_u15862)), _u15864), _u15866)), c_List_Olistrel(_u15862, _u15868))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15856), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15862)), _u15864))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15862, _u15862)), hAPP(hAPP(c_Product__Type_OPair(_u15862, _u15862), hAPP(hAPP(c_List_Onth(_u15862), _u15864), _u15856)), hAPP(hAPP(c_List_Onth(_u15862), _u15866), _u15856))), _u15868)) )).
% 43.37/43.60 cnf(fact_listrel__iff__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15863), tc_List_Olist(_u15863))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15863), tc_List_Olist(_u15863)), _u15865), _u15867)), c_List_Olistrel(_u15863, _u15869))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15865) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem423(_u15869, _u15867, _u15865, _u15863)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15865))) )).
% 43.37/43.60 cnf(fact_listrel__iff__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15863), tc_List_Olist(_u15863))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15863), tc_List_Olist(_u15863)), _u15865), _u15867)), c_List_Olistrel(_u15863, _u15869))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15865) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15867)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15863, _u15863)), hAPP(hAPP(c_Product__Type_OPair(_u15863, _u15863), hAPP(hAPP(c_List_Onth(_u15863), _u15865), skolem423(_u15869, _u15867, _u15865, _u15863))), hAPP(hAPP(c_List_Onth(_u15863), _u15867), skolem423(_u15869, _u15867, _u15865, _u15863)))), _u15869)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lexord__linear ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lexord__linear-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15874), _u15875)), c_List_Olexord(_u15872, _u15873))) | ( _u15874 = _u15875) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15875), _u15874)), c_List_Olexord(_u15872, _u15873))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15872, _u15872)), hAPP(hAPP(c_Product__Type_OPair(_u15872, _u15872), skolem424(_u15875, _u15874, _u15873, _u15872)), skolem425(_u15875, _u15874, _u15873, _u15872))), _u15873)) )).
% 43.37/43.60 cnf(fact_lexord__linear-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15874), _u15875)), c_List_Olexord(_u15872, _u15873))) | ( _u15874 = _u15875) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15875), _u15874)), c_List_Olexord(_u15872, _u15873))) | ( skolem424(_u15875, _u15874, _u15873, _u15872) != skolem425(_u15875, _u15874, _u15873, _u15872)) )).
% 43.37/43.60 cnf(fact_lexord__linear-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15874), _u15875)), c_List_Olexord(_u15872, _u15873))) | ( _u15874 = _u15875) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15875), _u15874)), c_List_Olexord(_u15872, _u15873))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15872, _u15872)), hAPP(hAPP(c_Product__Type_OPair(_u15872, _u15872), skolem425(_u15875, _u15874, _u15873, _u15872)), skolem424(_u15875, _u15874, _u15873, _u15872))), _u15873)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__Cons__Suc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__Cons__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15876), hAPP(hAPP(c_List_Olist_OCons(_u15876), _u15877), _u15878)), hAPP(c_Nat_OSuc, _u15879)) = hAPP(hAPP(c_List_Onth(_u15876), _u15878), _u15879)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__Cons__0 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__Cons__0-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15880), hAPP(hAPP(c_List_Olist_OCons(_u15880), _u15881), _u15882)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15881) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__eq__iff__nth__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__eq__iff__nth__eq-1, axiom, ( ( _u15888 != _u15890) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15892)), _u15888) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15892)), _u15890)) )).
% 43.37/43.60 cnf(fact_list__eq__iff__nth__eq-2, axiom, ( ( _u15888 != _u15890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15883), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15892)), _u15888))) | ( hAPP(hAPP(c_List_Onth(_u15892), _u15888), _u15883) = hAPP(hAPP(c_List_Onth(_u15892), _u15890), _u15883)) )).
% 43.37/43.60 cnf(fact_list__eq__iff__nth__eq-3, axiom, ( ( _u15889 = _u15891) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15889) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem426(_u15893, _u15891, _u15889)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15889))) )).
% 43.37/43.60 cnf(fact_list__eq__iff__nth__eq-4, axiom, ( ( _u15889 = _u15891) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15889) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15891)) | ( hAPP(hAPP(c_List_Onth(_u15893), _u15889), skolem426(_u15893, _u15891, _u15889)) != hAPP(hAPP(c_List_Onth(_u15893), _u15891), skolem426(_u15893, _u15891, _u15889))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_infinite__UNIV__listI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_infinite__UNIV__listI-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15894)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15894), tc_HOL_Obool)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth_Osimps ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth_Osimps-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u15895), hAPP(hAPP(c_List_Olist_OCons(_u15895), _u15896), _u15897)), _u15898) = c_Nat_Onat_Onat__case(_u15895, _u15896, hAPP(c_List_Onth(_u15895), _u15897), _u15898)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__Cons_H ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__Cons_H-1, axiom, ( ( _u15903 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15905), hAPP(hAPP(c_List_Olist_OCons(_u15905), _u15907), _u15909)), _u15903) = _u15907) )).
% 43.37/43.60 cnf(fact_nth__Cons_H-2, axiom, ( ( _u15904 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15906), hAPP(hAPP(c_List_Olist_OCons(_u15906), _u15908), _u15910)), _u15904) = hAPP(hAPP(c_List_Onth(_u15906), _u15910), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15904), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__Cons__number__of ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15915) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15917), hAPP(hAPP(c_List_Olist_OCons(_u15917), _u15919), _u15921)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15915)) = _u15919) )).
% 43.37/43.60 cnf(fact_nth__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15916) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15918), hAPP(hAPP(c_List_Olist_OCons(_u15918), _u15920), _u15922)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15916)) = hAPP(hAPP(c_List_Onth(_u15918), _u15922), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15916)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lexord__take__index__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lexord__take__index__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem427(_u15935, _u15933, _u15931, _u15929)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933)))) )).
% 43.37/43.60 cnf(fact_lexord__take__index__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933))) | ( hAPP(hAPP(c_List_Otake(_u15929), skolem427(_u15935, _u15933, _u15931, _u15929)), _u15931) = hAPP(hAPP(c_List_Otake(_u15929), skolem427(_u15935, _u15933, _u15931, _u15929)), _u15933)) )).
% 43.37/43.60 cnf(fact_lexord__take__index__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15929, _u15929)), hAPP(hAPP(c_Product__Type_OPair(_u15929, _u15929), hAPP(hAPP(c_List_Onth(_u15929), _u15931), skolem427(_u15935, _u15933, _u15931, _u15929))), hAPP(hAPP(c_List_Onth(_u15929), _u15933), skolem427(_u15935, _u15933, _u15931, _u15929)))), _u15935)) )).
% 43.37/43.60 cnf(fact_lexord__take__index__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | ( hAPP(hAPP(c_List_Otake(_u15929), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), _u15933) = _u15931) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem427(_u15935, _u15933, _u15931, _u15929)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933)))) )).
% 43.37/43.60 cnf(fact_lexord__take__index__conv-5, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | ( hAPP(hAPP(c_List_Otake(_u15929), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), _u15933) = _u15931) | ( hAPP(hAPP(c_List_Otake(_u15929), skolem427(_u15935, _u15933, _u15931, _u15929)), _u15931) = hAPP(hAPP(c_List_Otake(_u15929), skolem427(_u15935, _u15933, _u15931, _u15929)), _u15933)) )).
% 43.37/43.60 cnf(fact_lexord__take__index__conv-6, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | ( hAPP(hAPP(c_List_Otake(_u15929), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), _u15933) = _u15931) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15929, _u15929)), hAPP(hAPP(c_Product__Type_OPair(_u15929, _u15929), hAPP(hAPP(c_List_Onth(_u15929), _u15931), skolem427(_u15935, _u15933, _u15931, _u15929))), hAPP(hAPP(c_List_Onth(_u15929), _u15933), skolem427(_u15935, _u15933, _u15931, _u15929)))), _u15935)) )).
% 43.37/43.60 cnf(fact_lexord__take__index__conv-7, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15930), tc_List_Olist(_u15930))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15930), tc_List_Olist(_u15930)), _u15932), _u15934)), c_List_Olexord(_u15930, _u15936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15932)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15934))) | ( hAPP(hAPP(c_List_Otake(_u15930), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15932)), _u15934) != _u15932) )).
% 43.37/43.60 cnf(fact_lexord__take__index__conv-8, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15930), tc_List_Olist(_u15930))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15930), tc_List_Olist(_u15930)), _u15932), _u15934)), c_List_Olexord(_u15930, _u15936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15924), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15932)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15934)))) | ( hAPP(hAPP(c_List_Otake(_u15930), _u15924), _u15932) != hAPP(hAPP(c_List_Otake(_u15930), _u15924), _u15934)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15930, _u15930)), hAPP(hAPP(c_Product__Type_OPair(_u15930, _u15930), hAPP(hAPP(c_List_Onth(_u15930), _u15932), _u15924)), hAPP(hAPP(c_List_Onth(_u15930), _u15934), _u15924))), _u15936)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lexord__irreflexive ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lexord__irreflexive-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15938, _u15938)), hAPP(hAPP(c_Product__Type_OPair(_u15938, _u15938), skolem428(_u15940, _u15939, _u15938)), skolem428(_u15940, _u15939, _u15938))), _u15939)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15938), tc_List_Olist(_u15938))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15938), tc_List_Olist(_u15938)), _u15940), _u15940)), c_List_Olexord(_u15938, _u15939))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__all ( axiom ) converted to clauses:
% 43.37/43.60 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(_u15941)), _u15942)), _u15943)) | ( hAPP(hAPP(c_List_Otake(_u15941), _u15943), _u15942) = _u15942) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15944), _u15945)) | ( hAPP(hAPP(c_List_Onth(_u15946), hAPP(hAPP(c_List_Otake(_u15946), _u15945), _u15947)), _u15944) = hAPP(hAPP(c_List_Onth(_u15946), _u15947), _u15944)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublist__upt__eq__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublist__upt__eq__take-1, axiom, ( ( c_List_Osublist(_u15948, _u15949, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15950)) = hAPP(hAPP(c_List_Otake(_u15948), _u15950), _u15949)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__take-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15951), _u15952), hAPP(hAPP(c_List_Otake(_u15951), _u15953), _u15954)) = hAPP(hAPP(c_List_Otake(_u15951), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15952), _u15953)), _u15954)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__take-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15955)), hAPP(hAPP(c_List_Otake(_u15955), _u15956), _u15957)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15955)), _u15957)), _u15956)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__Suc__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u15958), hAPP(c_Nat_OSuc, _u15959)), hAPP(hAPP(c_List_Olist_OCons(_u15958), _u15960), _u15961)) = hAPP(hAPP(c_List_Olist_OCons(_u15958), _u15960), hAPP(hAPP(c_List_Otake(_u15958), _u15959), _u15961))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_finite__lists__length__le ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_finite__lists__length__le-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15962), _u15963)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15962)), hAPP(c_Set_OCollect(tc_List_Olist(_u15962)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15962), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15962)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15962), tc_fun(_u15962, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15962, tc_HOL_Obool), tc_fun(tc_fun(_u15962, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15962)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15962, tc_HOL_Obool))), c_List_Oset(_u15962))), _u15963))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15962), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15962)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15962)))), _u15964))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__sublist ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__sublist-1, axiom, ( ( hAPP(c_List_Oset(_u15965), c_List_Osublist(_u15965, _u15966, _u15967)) = hAPP(c_Set_OCollect(_u15965), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15965), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15965, 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)), _u15965), 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)), _u15965), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15965, tc_fun(tc_Nat_Onat, _u15965), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15965, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15965), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15965), c_COMBB(_u15965, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15965), _u15966))))), 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(_u15965)), _u15966)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15967)))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_finite__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_finite__set-1, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15968), hAPP(c_List_Oset(_u15968), _u15969))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__take__subset ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__take__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15970, tc_HOL_Obool)), hAPP(c_List_Oset(_u15970), hAPP(hAPP(c_List_Otake(_u15970), _u15971), _u15972))), hAPP(c_List_Oset(_u15970), _u15972))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__set__takeD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__set__takeD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15973), _u15974), hAPP(c_List_Oset(_u15973), hAPP(hAPP(c_List_Otake(_u15973), _u15975), _u15976)))) | hBOOL(hAPP(hAPP(c_member(_u15973), _u15974), hAPP(c_List_Oset(_u15973), _u15976))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_List_Oset_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_List_Oset_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Oset(_u15977), hAPP(hAPP(c_List_Olist_OCons(_u15977), _u15978), _u15979)) = hAPP(hAPP(c_Set_Oinsert(_u15977), _u15978), hAPP(c_List_Oset(_u15977), _u15979))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__ConsD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__ConsD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15980), _u15981), hAPP(c_List_Oset(_u15980), hAPP(hAPP(c_List_Olist_OCons(_u15980), _u15982), _u15983)))) | ( _u15981 = _u15982) | hBOOL(hAPP(hAPP(c_member(_u15980), _u15981), hAPP(c_List_Oset(_u15980), _u15983))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__set__sublistD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__set__sublistD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u15984), _u15985), hAPP(c_List_Oset(_u15984), c_List_Osublist(_u15984, _u15986, _u15987)))) | hBOOL(hAPP(hAPP(c_member(_u15984), _u15985), hAPP(c_List_Oset(_u15984), _u15986))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_notin__set__sublistI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_notin__set__sublistI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u15988), _u15989), hAPP(c_List_Oset(_u15988), _u15990))) | ~hBOOL(hAPP(hAPP(c_member(_u15988), _u15989), hAPP(c_List_Oset(_u15988), c_List_Osublist(_u15988, _u15990, _u15991)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublists__powset ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublists__powset-1, axiom, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u15992), tc_fun(_u15992, tc_HOL_Obool), c_List_Oset(_u15992)), hAPP(c_List_Oset(tc_List_Olist(_u15992)), c_Enum_Osublists(_u15992, _u15993))) = hAPP(c_Set_OPow(_u15992), hAPP(c_List_Oset(_u15992), _u15993))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__subset__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__subset__Cons-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15994, tc_HOL_Obool)), hAPP(c_List_Oset(_u15994), _u15995)), hAPP(c_List_Oset(_u15994), hAPP(hAPP(c_List_Olist_OCons(_u15994), _u15996), _u15995)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__sublist__subset ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__sublist__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15997, tc_HOL_Obool)), hAPP(c_List_Oset(_u15997), c_List_Osublist(_u15997, _u15998, _u15999))), hAPP(c_List_Oset(_u15997), _u15998))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_card__length ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_card__length-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u16000), hAPP(c_List_Oset(_u16000), _u16001))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16000)), _u16001))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_all__set__conv__all__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_all__set__conv__all__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16003), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16009)), _u16011))) | hBOOL(hAPP(_u16013, hAPP(hAPP(c_List_Onth(_u16009), _u16011), _u16003))) | hBOOL(hAPP(hAPP(c_member(_u16009), skolem429(_u16013, _u16011, _u16009)), hAPP(c_List_Oset(_u16009), _u16011))) )).
% 43.37/43.60 cnf(fact_all__set__conv__all__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16003), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16009)), _u16011))) | hBOOL(hAPP(_u16013, hAPP(hAPP(c_List_Onth(_u16009), _u16011), _u16003))) | ~hBOOL(hAPP(_u16013, skolem429(_u16013, _u16011, _u16009))) )).
% 43.37/43.60 cnf(fact_all__set__conv__all__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16010), _u16005), hAPP(c_List_Oset(_u16010), _u16012))) | hBOOL(hAPP(_u16014, _u16005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u16014, _u16012, _u16010)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16010)), _u16012))) )).
% 43.37/43.60 cnf(fact_all__set__conv__all__nth-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16010), _u16005), hAPP(c_List_Oset(_u16010), _u16012))) | hBOOL(hAPP(_u16014, _u16005)) | ~hBOOL(hAPP(_u16014, hAPP(hAPP(c_List_Onth(_u16010), _u16012), skolem430(_u16014, _u16012, _u16010)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__take__subset__set__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__take__subset__set__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16015), _u16016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16017, tc_HOL_Obool)), hAPP(c_List_Oset(_u16017), hAPP(hAPP(c_List_Otake(_u16017), _u16015), _u16018))), hAPP(c_List_Oset(_u16017), hAPP(hAPP(c_List_Otake(_u16017), _u16016), _u16018)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__size__estimation ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__size__estimation-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16019), _u16020), hAPP(c_List_Oset(_u16019), _u16021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16022), hAPP(_u16023, _u16020))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16022), c_List_Olist_Olist__size(_u16019, _u16023, _u16021))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__size__estimation_H ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__size__estimation_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16024), _u16025), hAPP(c_List_Oset(_u16024), _u16026))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16027), hAPP(_u16028, _u16025))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16027), c_List_Olist_Olist__size(_u16024, _u16028, _u16026))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__lists__conv__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__lists__conv__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16034)), _u16036), c_List_Olists(_u16034, _u16038))) | ~hBOOL(hAPP(hAPP(c_member(_u16034), _u16029), hAPP(c_List_Oset(_u16034), _u16036))) | hBOOL(hAPP(hAPP(c_member(_u16034), _u16029), _u16038)) )).
% 43.37/43.60 cnf(fact_in__lists__conv__set-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16035)), _u16037), c_List_Olists(_u16035, _u16039))) | hBOOL(hAPP(hAPP(c_member(_u16035), skolem431(_u16039, _u16037, _u16035)), hAPP(c_List_Oset(_u16035), _u16037))) )).
% 43.37/43.60 cnf(fact_in__lists__conv__set-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16035)), _u16037), c_List_Olists(_u16035, _u16039))) | ~hBOOL(hAPP(hAPP(c_member(_u16035), skolem431(_u16039, _u16037, _u16035)), _u16039)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__pos__if__in__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__pos__if__in__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16040), _u16041), hAPP(c_List_Oset(_u16040), _u16042))) | 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(_u16040)), _u16042))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__mem ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__mem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16043), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16044)), _u16045))) | hBOOL(hAPP(hAPP(c_member(_u16044), hAPP(hAPP(c_List_Onth(_u16044), _u16045), _u16043)), hAPP(c_List_Oset(_u16044), _u16045))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__set__conv__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__set__conv__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16051), _u16053), hAPP(c_List_Oset(_u16051), _u16055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem432(_u16055, _u16053, _u16051)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16051)), _u16055))) )).
% 43.37/43.60 cnf(fact_in__set__conv__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16051), _u16053), hAPP(c_List_Oset(_u16051), _u16055))) | ( hAPP(hAPP(c_List_Onth(_u16051), _u16055), skolem432(_u16055, _u16053, _u16051)) = _u16053) )).
% 43.37/43.60 cnf(fact_in__set__conv__nth-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16047), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16052)), _u16056))) | ( hAPP(hAPP(c_List_Onth(_u16052), _u16056), _u16047) != _u16054) | hBOOL(hAPP(hAPP(c_member(_u16052), _u16054), hAPP(c_List_Oset(_u16052), _u16056))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists__eq__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists__eq__set-1, axiom, ( ( c_List_Olists(_u16057, _u16058) = hAPP(c_Set_OCollect(tc_List_Olist(_u16057)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16057), tc_fun(_u16057, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16057, tc_HOL_Obool), tc_fun(tc_fun(_u16057, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16057)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16057, tc_HOL_Obool))), c_List_Oset(_u16057))), _u16058))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__conv__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__conv__nth-1, axiom, ( ( hAPP(c_List_Oset(_u16059), _u16060) = hAPP(c_Set_OCollect(_u16059), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u16059), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u16059, 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)), _u16059), 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)), _u16059), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u16059, tc_fun(tc_Nat_Onat, _u16059), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16059, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u16059), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u16059), c_COMBB(_u16059, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u16059), _u16060))))), 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(_u16059)), _u16060)))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_finite__lists__length__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_finite__lists__length__eq-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16061), _u16062)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u16061)), hAPP(c_Set_OCollect(tc_List_Olist(_u16061)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16061), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16061)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16061), tc_fun(_u16061, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16061, tc_HOL_Obool), tc_fun(tc_fun(_u16061, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16061)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16061, tc_HOL_Obool))), c_List_Oset(_u16061))), _u16062))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16061), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16061)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16061)))), _u16063))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__iff__zip ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__iff__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16070), tc_List_Olist(_u16070))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16070), tc_List_Olist(_u16070)), _u16072), _u16074)), c_List_Olistrel(_u16070, _u16076))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16070)), _u16072) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16070)), _u16074)) )).
% 43.37/43.60 cnf(fact_listrel__iff__zip-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16070), tc_List_Olist(_u16070))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16070), tc_List_Olist(_u16070)), _u16072), _u16074)), c_List_Olistrel(_u16070, _u16076))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16070, _u16070)), _u16064), hAPP(c_List_Oset(tc_prod(_u16070, _u16070)), hAPP(hAPP(c_List_Ozip(_u16070, _u16070), _u16072), _u16074)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16070, _u16070, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16070, tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_fun(_u16070, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16070, tc_fun(tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_fun(_u16070, tc_HOL_Obool)), _u16070), c_COMBC(_u16070, tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16070, tc_prod(_u16070, _u16070)), tc_fun(_u16070, tc_fun(tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_HOL_Obool)), _u16070), hAPP(c_COMBB(tc_prod(_u16070, _u16070), tc_fun(tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_HOL_Obool), _u16070), c_member(tc_prod(_u16070, _u16070)))), c_Product__Type_OPair(_u16070, _u16070)))), _u16076)), _u16064)) )).
% 43.37/43.60 cnf(fact_listrel__iff__zip-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16071), tc_List_Olist(_u16071))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16071), tc_List_Olist(_u16071)), _u16073), _u16075)), c_List_Olistrel(_u16071, _u16077))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16071)), _u16073) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16071)), _u16075)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16071, _u16071)), skolem433(_u16077, _u16075, _u16073, _u16071)), hAPP(c_List_Oset(tc_prod(_u16071, _u16071)), hAPP(hAPP(c_List_Ozip(_u16071, _u16071), _u16073), _u16075)))) )).
% 43.37/43.60 cnf(fact_listrel__iff__zip-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16071), tc_List_Olist(_u16071))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16071), tc_List_Olist(_u16071)), _u16073), _u16075)), c_List_Olistrel(_u16071, _u16077))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16071)), _u16073) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16071)), _u16075)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16071, _u16071, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16071, tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_fun(_u16071, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16071, tc_fun(tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_fun(_u16071, tc_HOL_Obool)), _u16071), c_COMBC(_u16071, tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16071, tc_prod(_u16071, _u16071)), tc_fun(_u16071, tc_fun(tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_HOL_Obool)), _u16071), hAPP(c_COMBB(tc_prod(_u16071, _u16071), tc_fun(tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_HOL_Obool), _u16071), c_member(tc_prod(_u16071, _u16071)))), c_Product__Type_OPair(_u16071, _u16071)))), _u16077)), skolem433(_u16077, _u16075, _u16073, _u16071))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__n__lists ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__n__lists-1, axiom, ( ( hAPP(c_List_Oset(tc_List_Olist(_u16078)), c_Enum_On__lists(_u16078, _u16079, _u16080)) = hAPP(c_Set_OCollect(tc_List_Olist(_u16078)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16078), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16078)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16078), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16078)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16078)))), _u16079))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16078), tc_fun(_u16078, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16078, tc_HOL_Obool), tc_fun(tc_fun(_u16078, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16078)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16078, tc_HOL_Obool))), c_List_Oset(_u16078))), hAPP(c_List_Oset(_u16078), _u16080))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__zip ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u16081, _u16082))), hAPP(hAPP(c_List_Ozip(_u16081, _u16082), _u16083), _u16084)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16081)), _u16083)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16082)), _u16084))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__zip ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__zip-1, axiom, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u16085, _u16086)), _u16087), hAPP(hAPP(c_List_Ozip(_u16085, _u16086), _u16088), _u16089)) = hAPP(hAPP(c_List_Ozip(_u16085, _u16086), hAPP(hAPP(c_List_Otake(_u16085), _u16087), _u16088)), hAPP(hAPP(c_List_Otake(_u16086), _u16087), _u16089))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__Cons__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__Cons__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16090, _u16091), hAPP(hAPP(c_List_Olist_OCons(_u16090), _u16092), _u16093)), hAPP(hAPP(c_List_Olist_OCons(_u16091), _u16094), _u16095)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u16090, _u16091)), hAPP(hAPP(c_Product__Type_OPair(_u16090, _u16091), _u16092), _u16094)), hAPP(hAPP(c_List_Ozip(_u16090, _u16091), _u16093), _u16095))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__eq__iff__zip__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__eq__iff__zip__eq-1, axiom, ( ( _u16101 != _u16103) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16105)), _u16101) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16105)), _u16103)) )).
% 43.37/43.60 cnf(fact_list__eq__iff__zip__eq-2, axiom, ( ( _u16101 != _u16103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16105, _u16105)), _u16096), hAPP(c_List_Oset(tc_prod(_u16105, _u16105)), hAPP(hAPP(c_List_Ozip(_u16105, _u16105), _u16101), _u16103)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16105, _u16105, tc_HOL_Obool), c_fequal), _u16096)) )).
% 43.37/43.60 cnf(fact_list__eq__iff__zip__eq-3, axiom, ( ( _u16102 = _u16104) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16106)), _u16102) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16106)), _u16104)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16106, _u16106)), skolem434(_u16106, _u16104, _u16102)), hAPP(c_List_Oset(tc_prod(_u16106, _u16106)), hAPP(hAPP(c_List_Ozip(_u16106, _u16106), _u16102), _u16104)))) )).
% 43.37/43.60 cnf(fact_list__eq__iff__zip__eq-4, axiom, ( ( _u16102 = _u16104) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16106)), _u16102) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16106)), _u16104)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16106, _u16106, tc_HOL_Obool), c_fequal), skolem434(_u16106, _u16104, _u16102))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__set__zipE ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__set__zipE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16108), _u16109), _u16110)), hAPP(c_List_Oset(tc_prod(_u16107, _u16108)), hAPP(hAPP(c_List_Ozip(_u16107, _u16108), _u16111), _u16112)))) | hBOOL(hAPP(hAPP(c_member(_u16107), _u16109), hAPP(c_List_Oset(_u16107), _u16111))) )).
% 43.37/43.60 cnf(fact_in__set__zipE-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16108), _u16109), _u16110)), hAPP(c_List_Oset(tc_prod(_u16107, _u16108)), hAPP(hAPP(c_List_Ozip(_u16107, _u16108), _u16111), _u16112)))) | hBOOL(hAPP(hAPP(c_member(_u16108), _u16110), hAPP(c_List_Oset(_u16108), _u16112))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__zip__rightD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__zip__rightD-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16114), _u16116), hAPP(c_List_Oset(_u16114), _u16118))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16113, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16113, _u16114), _u16115), _u16116)), hAPP(c_List_Oset(tc_prod(_u16113, _u16114)), hAPP(hAPP(c_List_Ozip(_u16113, _u16114), _u16117), _u16118)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__zip__leftD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__zip__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16119, _u16120)), hAPP(hAPP(c_Product__Type_OPair(_u16119, _u16120), _u16121), _u16122)), hAPP(c_List_Oset(tc_prod(_u16119, _u16120)), hAPP(hAPP(c_List_Ozip(_u16119, _u16120), _u16123), _u16124)))) | hBOOL(hAPP(hAPP(c_member(_u16119), _u16121), hAPP(c_List_Oset(_u16119), _u16123))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__same ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16129, _u16129)), hAPP(hAPP(c_Product__Type_OPair(_u16129, _u16129), _u16131), _u16133)), hAPP(c_List_Oset(tc_prod(_u16129, _u16129)), hAPP(hAPP(c_List_Ozip(_u16129, _u16129), _u16135), _u16135)))) | hBOOL(hAPP(hAPP(c_member(_u16129), _u16131), hAPP(c_List_Oset(_u16129), _u16135))) )).
% 43.37/43.60 cnf(fact_zip__same-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16129, _u16129)), hAPP(hAPP(c_Product__Type_OPair(_u16129, _u16129), _u16131), _u16133)), hAPP(c_List_Oset(tc_prod(_u16129, _u16129)), hAPP(hAPP(c_List_Ozip(_u16129, _u16129), _u16135), _u16135)))) | ( _u16131 = _u16133) )).
% 43.37/43.60 cnf(fact_zip__same-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16130), _u16132), hAPP(c_List_Oset(_u16130), _u16136))) | ( _u16132 != _u16134) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16130, _u16130)), hAPP(hAPP(c_Product__Type_OPair(_u16130, _u16130), _u16132), _u16134)), hAPP(c_List_Oset(tc_prod(_u16130, _u16130)), hAPP(hAPP(c_List_Ozip(_u16130, _u16130), _u16136), _u16136)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__zip ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__zip-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16137), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16138)), _u16139))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16137), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16140)), _u16141))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u16138, _u16140)), hAPP(hAPP(c_List_Ozip(_u16138, _u16140), _u16139), _u16141)), _u16137) = hAPP(hAPP(c_Product__Type_OPair(_u16138, _u16140), hAPP(hAPP(c_List_Onth(_u16138), _u16139), _u16137)), hAPP(hAPP(c_List_Onth(_u16140), _u16141), _u16137))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__n__lists__elem ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__n__lists__elem-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16142)), _u16143), hAPP(c_List_Oset(tc_List_Olist(_u16142)), c_Enum_On__lists(_u16142, _u16144, _u16145)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16142)), _u16143) = _u16144) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__n__lists ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__n__lists-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16146))), c_Enum_On__lists(_u16146, _u16147, _u16148)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16146)), _u16148)), _u16147)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__zip ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__zip-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u16149, _u16150)), hAPP(hAPP(c_List_Ozip(_u16149, _u16150), _u16151), _u16152)) = hAPP(c_Set_OCollect(tc_prod(_u16149, _u16150)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u16149, _u16150)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u16149, _u16150), 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(_u16149, _u16150)), 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(_u16149, _u16150)), 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(_u16149, _u16150), tc_fun(tc_Nat_Onat, tc_prod(_u16149, _u16150)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16149, _u16150), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u16149, _u16150)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u16149, _u16150)), c_COMBB(tc_prod(_u16149, _u16150), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u16150, tc_prod(_u16149, _u16150)), hAPP(hAPP(c_COMBB(_u16149, tc_fun(_u16150, tc_prod(_u16149, _u16150)), tc_Nat_Onat), c_Product__Type_OPair(_u16149, _u16150)), hAPP(c_List_Onth(_u16149), _u16151))), hAPP(c_List_Onth(_u16150), _u16152)))))), 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(_u16149)), _u16151)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16150)), _u16152))))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_product__list__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_product__list__set-1, axiom, ( ( hAPP(c_List_Oset(tc_prod(_u16153, _u16154)), c_Enum_Oproduct(_u16153, _u16154, _u16155, _u16156)) = hAPP(hAPP(c_Product__Type_OSigma(_u16153, _u16154), hAPP(c_List_Oset(_u16153), _u16155)), hAPP(c_COMBK(tc_fun(_u16154, tc_HOL_Obool), _u16153), hAPP(c_List_Oset(_u16154), _u16156)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_greaterThanLessThan__upto ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_greaterThanLessThan__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u16157, _u16158) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16157), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u16158), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_atLeastAtMost__upto ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_atLeastAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u16159, _u16160) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16159, _u16160))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__upto ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__upto-1, axiom, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16161, _u16162)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u16161, _u16162)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_atLeastLessThan__upto ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_atLeastLessThan__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u16163), _u16164) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16163, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u16164), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_greaterThanAtMost__upto ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_greaterThanAtMost__upto-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u16165, _u16166) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16165), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16166))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nat__list__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nat__list__def-1, axiom, ( ~c_List_Onat__list(_u16168) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u16168)) )).
% 43.37/43.60 cnf(fact_nat__list__def-2, axiom, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u16169)) | c_List_Onat__list(_u16169) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__setsum__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__setsum__nth-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16170) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16170), _u16171) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u16170), hAPP(c_List_Onth(_u16170), _u16171)), 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(_u16170)), _u16171)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__eq__0__nat__iff__nat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__eq__0__nat__iff__nat-1, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16175) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16172), hAPP(c_List_Oset(tc_Nat_Onat), _u16175))) | ( _u16172 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60 cnf(fact_listsum__eq__0__nat__iff__nat-2, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16176) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem435(_u16176)), hAPP(c_List_Oset(tc_Nat_Onat), _u16176))) )).
% 43.37/43.60 cnf(fact_listsum__eq__0__nat__iff__nat-3, axiom, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16176) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem435(_u16176) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__simps_I2_J-1, axiom, ( ~class_Groups_Omonoid__add(_u16177) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16177), hAPP(hAPP(c_List_Olist_OCons(_u16177), _u16178), _u16179)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16177), _u16178), hAPP(c_List_Omonoid__add__class_Olistsum(_u16177), _u16179))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_elem__le__listsum__nat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_elem__le__listsum__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16180), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u16181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u16181), _u16180)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16181))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__size__pointwise ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__size__pointwise-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u16183, _u16185, _u16184)), c_List_Olist_Olist__size(_u16183, _u16186, _u16184))) | hBOOL(hAPP(hAPP(c_member(_u16183), skolem436(_u16186, _u16185, _u16184, _u16183)), hAPP(c_List_Oset(_u16183), _u16184))) )).
% 43.37/43.60 cnf(fact_list__size__pointwise-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u16183, _u16185, _u16184)), c_List_Olist_Olist__size(_u16183, _u16186, _u16184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u16185, skolem436(_u16186, _u16185, _u16184, _u16183))), hAPP(_u16186, skolem436(_u16186, _u16185, _u16184, _u16183)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_butlast__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_butlast__take-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16187), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16188)), _u16189))) | ( c_List_Obutlast(_u16188, hAPP(hAPP(c_List_Otake(_u16188), _u16187), _u16189)) = hAPP(hAPP(c_List_Otake(_u16188), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16187), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16189)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__set__butlastD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__set__butlastD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16190), _u16191), hAPP(c_List_Oset(_u16190), c_List_Obutlast(_u16190, _u16192)))) | hBOOL(hAPP(hAPP(c_member(_u16190), _u16191), hAPP(c_List_Oset(_u16190), _u16192))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__butlast ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__butlast-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16194)), _u16195))) | ( hAPP(hAPP(c_List_Otake(_u16194), _u16193), c_List_Obutlast(_u16194, _u16195)) = hAPP(hAPP(c_List_Otake(_u16194), _u16193), _u16195)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__butlast ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__butlast-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16196)), c_List_Obutlast(_u16196, _u16197)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16196)), _u16197)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_butlast__conv__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_butlast__conv__take-1, axiom, ( ( c_List_Obutlast(_u16198, _u16199) = hAPP(hAPP(c_List_Otake(_u16198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16198)), _u16199)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16199)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__update__nat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__update__nat-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16200), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u16201))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u16201), _u16200), _u16202)) = 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), _u16201)), _u16202)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u16201), _u16200))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__take__lemma ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__take__lemma-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16204), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16205)), _u16206))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16204), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16205)), _u16207))) | ( hAPP(hAPP(c_List_Otake(_u16205), _u16204), _u16206) = hAPP(hAPP(c_List_Otake(_u16205), _u16204), _u16207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem437(_u16207, _u16206, _u16205, _u16204)), _u16204)) )).
% 43.37/43.60 cnf(fact_nth__take__lemma-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16204), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16205)), _u16206))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16204), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16205)), _u16207))) | ( hAPP(hAPP(c_List_Otake(_u16205), _u16204), _u16206) = hAPP(hAPP(c_List_Otake(_u16205), _u16204), _u16207)) | ( hAPP(hAPP(c_List_Onth(_u16205), _u16206), skolem437(_u16207, _u16206, _u16205, _u16204)) != hAPP(hAPP(c_List_Onth(_u16205), _u16207), skolem437(_u16207, _u16206, _u16205, _u16204))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__beyond ( axiom ) converted to clauses:
% 43.37/43.60 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(_u16208)), _u16209)), _u16210)) | ( hAPP(hAPP(c_List_Olist__update(_u16208, _u16209), _u16210), _u16211) = _u16209) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__list__update__neq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__list__update__neq-1, axiom, ( ( _u16212 = _u16213) | ( hAPP(hAPP(c_List_Onth(_u16214), hAPP(hAPP(c_List_Olist__update(_u16214, _u16215), _u16212), _u16216)), _u16213) = hAPP(hAPP(c_List_Onth(_u16214), _u16215), _u16213)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__id ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__id-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16217, _u16218), _u16219), hAPP(hAPP(c_List_Onth(_u16217), _u16218), _u16219)) = _u16218) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__list__update ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__list__update-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16220)), hAPP(hAPP(c_List_Olist__update(_u16220, _u16221), _u16222), _u16223)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16220)), _u16221)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__code_I3_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__code_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16224, hAPP(hAPP(c_List_Olist_OCons(_u16224), _u16225), _u16226)), hAPP(c_Nat_OSuc, _u16227)), _u16228) = hAPP(hAPP(c_List_Olist_OCons(_u16224), _u16225), hAPP(hAPP(c_List_Olist__update(_u16224, _u16226), _u16227), _u16228))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__code_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__code_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16229, hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16230), _u16231)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16232) = hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16232), _u16231)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16233, hAPP(hAPP(c_List_Olist_OCons(_u16233), _u16234), _u16235)), _u16236), _u16237) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16233), hAPP(hAPP(c_List_Olist_OCons(_u16233), _u16237), _u16235), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16233), tc_List_Olist(_u16233), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16233), _u16234)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u16233, tc_List_Olist(_u16233)), c_List_Olist__update(_u16233, _u16235)), _u16237)), _u16236)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__overwrite ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__overwrite-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16238, hAPP(hAPP(c_List_Olist__update(_u16238, _u16239), _u16240), _u16241)), _u16240), _u16242) = hAPP(hAPP(c_List_Olist__update(_u16238, _u16239), _u16240), _u16242)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__swap ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__swap-1, axiom, ( ( _u16243 = _u16244) | ( hAPP(hAPP(c_List_Olist__update(_u16245, hAPP(hAPP(c_List_Olist__update(_u16245, _u16246), _u16243), _u16247)), _u16244), _u16248) = hAPP(hAPP(c_List_Olist__update(_u16245, hAPP(hAPP(c_List_Olist__update(_u16245, _u16246), _u16244), _u16248)), _u16243), _u16247)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_update__zip ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_update__zip-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u16249, _u16250), hAPP(hAPP(c_List_Ozip(_u16249, _u16250), _u16251), _u16252)), _u16253), _u16254) = hAPP(hAPP(c_List_Ozip(_u16249, _u16250), hAPP(hAPP(c_List_Olist__update(_u16249, _u16251), _u16253), hAPP(c_Product__Type_Ofst(_u16249, _u16250), _u16254))), hAPP(hAPP(c_List_Olist__update(_u16250, _u16252), _u16253), hAPP(c_Product__Type_Osnd(_u16249, _u16250), _u16254)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__update ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__update-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16255, _u16256), hAPP(hAPP(c_List_Olist__update(_u16255, _u16257), _u16258), _u16259)), hAPP(hAPP(c_List_Olist__update(_u16256, _u16260), _u16258), _u16261)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u16255, _u16256), hAPP(hAPP(c_List_Ozip(_u16255, _u16256), _u16257), _u16260)), _u16258), hAPP(hAPP(c_Product__Type_OPair(_u16255, _u16256), _u16259), _u16261))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__update__subsetI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__update__subsetI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16262, tc_HOL_Obool)), hAPP(c_List_Oset(_u16262), _u16263)), _u16264)) | ~hBOOL(hAPP(hAPP(c_member(_u16262), _u16265), _u16264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16262, tc_HOL_Obool)), hAPP(c_List_Oset(_u16262), hAPP(hAPP(c_List_Olist__update(_u16262, _u16263), _u16266), _u16265))), _u16264)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__update__subset__insert ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__update__subset__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16267, tc_HOL_Obool)), hAPP(c_List_Oset(_u16267), hAPP(hAPP(c_List_Olist__update(_u16267, _u16268), _u16269), _u16270))), hAPP(hAPP(c_Set_Oinsert(_u16267), _u16270), hAPP(c_List_Oset(_u16267), _u16268)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__list__update ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__list__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16271), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16272)), _u16273))) | ( _u16271 != _u16274) | ( hAPP(hAPP(c_List_Onth(_u16272), hAPP(hAPP(c_List_Olist__update(_u16272, _u16273), _u16271), _u16275)), _u16274) = _u16275) )).
% 43.37/43.60 cnf(fact_nth__list__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16271), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16272)), _u16273))) | ( _u16271 = _u16274) | ( hAPP(hAPP(c_List_Onth(_u16272), hAPP(hAPP(c_List_Olist__update(_u16272, _u16273), _u16271), _u16275)), _u16274) = hAPP(hAPP(c_List_Onth(_u16272), _u16273), _u16274)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__same__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__same__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16276), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16277)), _u16278))) | ( hAPP(hAPP(c_List_Olist__update(_u16277, _u16278), _u16276), _u16279) != _u16278) | ( hAPP(hAPP(c_List_Onth(_u16277), _u16278), _u16276) = _u16279) )).
% 43.37/43.60 cnf(fact_list__update__same__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16276), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16277)), _u16278))) | ( hAPP(hAPP(c_List_Onth(_u16277), _u16278), _u16276) != _u16279) | ( hAPP(hAPP(c_List_Olist__update(_u16277, _u16278), _u16276), _u16279) = _u16278) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__list__update__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__list__update__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16280), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16281)), _u16282))) | ( hAPP(hAPP(c_List_Onth(_u16281), hAPP(hAPP(c_List_Olist__update(_u16281, _u16282), _u16280), _u16283)), _u16280) = _u16283) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__update__memI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__update__memI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16284), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16285)), _u16286))) | hBOOL(hAPP(hAPP(c_member(_u16285), _u16287), hAPP(c_List_Oset(_u16285), hAPP(hAPP(c_List_Olist__update(_u16285, _u16286), _u16284), _u16287)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_butlast__list__update ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_butlast__list__update-1, axiom, ( ( _u16292 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16294)), _u16296)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u16294, hAPP(hAPP(c_List_Olist__update(_u16294, _u16296), _u16292), _u16298)) = c_List_Obutlast(_u16294, _u16296)) )).
% 43.37/43.60 cnf(fact_butlast__list__update-2, axiom, ( ( _u16293 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16295)), _u16297)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u16295, hAPP(hAPP(c_List_Olist__update(_u16295, _u16297), _u16293), _u16299)) = hAPP(hAPP(c_List_Olist__update(_u16295, c_List_Obutlast(_u16295, _u16297)), _u16293), _u16299)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel1__iff__update ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel1__iff__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16308), tc_List_Olist(_u16308))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16308), tc_List_Olist(_u16308)), _u16310), _u16312)), c_List_Olistrel1(_u16308, _u16314))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16308, _u16308)), hAPP(hAPP(c_Product__Type_OPair(_u16308, _u16308), hAPP(hAPP(c_List_Onth(_u16308), _u16310), skolem439(_u16314, _u16312, _u16310, _u16308))), skolem438(_u16314, _u16312, _u16310, _u16308))), _u16314)) )).
% 43.37/43.60 cnf(fact_listrel1__iff__update-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16308), tc_List_Olist(_u16308))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16308), tc_List_Olist(_u16308)), _u16310), _u16312)), c_List_Olistrel1(_u16308, _u16314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem439(_u16314, _u16312, _u16310, _u16308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16308)), _u16310))) )).
% 43.37/43.60 cnf(fact_listrel1__iff__update-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16308), tc_List_Olist(_u16308))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16308), tc_List_Olist(_u16308)), _u16310), _u16312)), c_List_Olistrel1(_u16308, _u16314))) | ( _u16312 = hAPP(hAPP(c_List_Olist__update(_u16308, _u16310), skolem439(_u16314, _u16312, _u16310, _u16308)), skolem438(_u16314, _u16312, _u16310, _u16308))) )).
% 43.37/43.60 cnf(fact_listrel1__iff__update-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16309, _u16309)), hAPP(hAPP(c_Product__Type_OPair(_u16309, _u16309), hAPP(hAPP(c_List_Onth(_u16309), _u16311), _u16302)), _u16303)), _u16315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16302), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16309)), _u16311))) | ( _u16313 != hAPP(hAPP(c_List_Olist__update(_u16309, _u16311), _u16302), _u16303)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16309), tc_List_Olist(_u16309))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16309), tc_List_Olist(_u16309)), _u16311), _u16313)), c_List_Olistrel1(_u16309, _u16315))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__list__update ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__list__update-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16316), _u16317)) | hBOOL(hAPP(hAPP(c_member(_u16316), _u16318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16316, tc_HOL_Obool)), hAPP(c_List_Oset(_u16316), _u16317)), hAPP(hAPP(c_Set_Oinsert(_u16316), hAPP(hAPP(c_List_Onth(_u16316), _u16317), _u16319)), c_Orderings_Obot__class_Obot(tc_fun(_u16316, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u16316), hAPP(hAPP(c_List_Olist__update(_u16316, _u16317), _u16319), _u16318))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__n__lists ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__n__lists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16320), _u16321)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u16320)), c_Enum_On__lists(_u16320, _u16322, _u16321))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__zipI1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__zipI1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16323), _u16324)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16323, _u16325)), hAPP(hAPP(c_List_Ozip(_u16323, _u16325), _u16324), _u16326))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__zipI2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__zipI2-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16327), _u16328)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16329, _u16327)), hAPP(hAPP(c_List_Ozip(_u16329, _u16327), _u16330), _u16328))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__sublistI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__sublistI-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16331), _u16332)) | hBOOL(hAPP(c_List_Odistinct(_u16331), c_List_Osublist(_u16331, _u16332, _u16333))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__product ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__product-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16334), _u16335)) | ~hBOOL(hAPP(c_List_Odistinct(_u16336), _u16337)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16334, _u16336)), c_Enum_Oproduct(_u16334, _u16336, _u16335, _u16337))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__upto ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__upto-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u16338, _u16339))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__take-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16340), _u16341)) | hBOOL(hAPP(c_List_Odistinct(_u16340), hAPP(hAPP(c_List_Otake(_u16340), _u16342), _u16341))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16346), hAPP(hAPP(c_List_Olist_OCons(_u16346), _u16348), _u16350))) | ~hBOOL(hAPP(hAPP(c_member(_u16346), _u16348), hAPP(c_List_Oset(_u16346), _u16350))) )).
% 43.37/43.60 cnf(fact_distinct_Osimps_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16346), hAPP(hAPP(c_List_Olist_OCons(_u16346), _u16348), _u16350))) | hBOOL(hAPP(c_List_Odistinct(_u16346), _u16350)) )).
% 43.37/43.60 cnf(fact_distinct_Osimps_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16347), _u16349), hAPP(c_List_Oset(_u16347), _u16351))) | ~hBOOL(hAPP(c_List_Odistinct(_u16347), _u16351)) | hBOOL(hAPP(c_List_Odistinct(_u16347), hAPP(hAPP(c_List_Olist_OCons(_u16347), _u16349), _u16351))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_card__distinct ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_card__distinct-1, axiom, ( ( hAPP(c_Finite__Set_Ocard(_u16352), hAPP(c_List_Oset(_u16352), _u16353)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16352)), _u16353)) | hBOOL(hAPP(c_List_Odistinct(_u16352), _u16353)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__card ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__card-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16354), _u16355)) | ( hAPP(c_Finite__Set_Ocard(_u16354), hAPP(c_List_Oset(_u16354), _u16355)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16354)), _u16355)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__conv__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__conv__nth-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16362), _u16364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16357), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16362)), _u16364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16356), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16362)), _u16364))) | ( _u16357 = _u16356) | ( hAPP(hAPP(c_List_Onth(_u16362), _u16364), _u16357) != hAPP(hAPP(c_List_Onth(_u16362), _u16364), _u16356)) )).
% 43.37/43.60 cnf(fact_distinct__conv__nth-2, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16363), _u16365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem440(_u16365, _u16363)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16363)), _u16365))) )).
% 43.37/43.60 cnf(fact_distinct__conv__nth-3, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16363), _u16365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem441(_u16365, _u16363)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16363)), _u16365))) )).
% 43.37/43.60 cnf(fact_distinct__conv__nth-4, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16363), _u16365)) | ( skolem440(_u16365, _u16363) != skolem441(_u16365, _u16363)) )).
% 43.37/43.60 cnf(fact_distinct__conv__nth-5, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16363), _u16365)) | ( hAPP(hAPP(c_List_Onth(_u16363), _u16365), skolem440(_u16365, _u16363)) = hAPP(hAPP(c_List_Onth(_u16363), _u16365), skolem441(_u16365, _u16363))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__eq__iff__index__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__eq__iff__index__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16366), _u16367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16368), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16366)), _u16367))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16369), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16366)), _u16367))) | ( hAPP(hAPP(c_List_Onth(_u16366), _u16367), _u16368) != hAPP(hAPP(c_List_Onth(_u16366), _u16367), _u16369)) | ( _u16368 = _u16369) )).
% 43.37/43.60 cnf(fact_nth__eq__iff__index__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16366), _u16367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16368), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16366)), _u16367))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16369), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16366)), _u16367))) | ( _u16368 != _u16369) | ( hAPP(hAPP(c_List_Onth(_u16366), _u16367), _u16368) = hAPP(hAPP(c_List_Onth(_u16366), _u16367), _u16369)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__listsum__conv__Setsum ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__listsum__conv__Setsum-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u16370) | ~hBOOL(hAPP(c_List_Odistinct(_u16370), _u16371)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16370), _u16371) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u16370, _u16370), c_COMBI(_u16370)), hAPP(c_List_Oset(_u16370), _u16371))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Nitpick_Ocard_H__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Nitpick_Ocard_H__def-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16374), _u16376)) | ( c_Nitpick_Ocard_H(_u16374, _u16376) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16374)), c_Hilbert__Choice_OEps(tc_List_Olist(_u16374), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16374), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16374)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16374), tc_fun(_u16374, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16374, tc_HOL_Obool), tc_fun(tc_fun(_u16374, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16374)), c_fequal), c_List_Oset(_u16374))), _u16376))), c_List_Odistinct(_u16374))))) )).
% 43.37/43.60 cnf(fact_Nitpick_Ocard_H__def-2, axiom, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u16375), _u16377)) | ( c_Nitpick_Ocard_H(_u16375, _u16377) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__remove1__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__remove1__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16378), _u16379)) | ( hAPP(c_List_Oset(_u16378), c_List_Oremove1(_u16378, _u16380, _u16379)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16378, tc_HOL_Obool)), hAPP(c_List_Oset(_u16378), _u16379)), hAPP(hAPP(c_Set_Oinsert(_u16378), _u16380), c_Orderings_Obot__class_Obot(tc_fun(_u16378, tc_HOL_Obool))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__remove1-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16381), _u16382)) | hBOOL(hAPP(c_List_Odistinct(_u16381), c_List_Oremove1(_u16381, _u16383, _u16382))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remove1__idem ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remove1__idem-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16384), _u16385), hAPP(c_List_Oset(_u16384), _u16386))) | ( c_List_Oremove1(_u16384, _u16385, _u16386) = _u16386) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_notin__set__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_notin__set__remove1-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16387), _u16388), hAPP(c_List_Oset(_u16387), _u16389))) | ~hBOOL(hAPP(hAPP(c_member(_u16387), _u16388), hAPP(c_List_Oset(_u16387), c_List_Oremove1(_u16387, _u16390, _u16389)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__set__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__set__remove1-1, axiom, ( ( _u16391 = _u16392) | ~hBOOL(hAPP(hAPP(c_member(_u16393), _u16391), hAPP(c_List_Oset(_u16393), c_List_Oremove1(_u16393, _u16392, _u16394)))) | hBOOL(hAPP(hAPP(c_member(_u16393), _u16391), hAPP(c_List_Oset(_u16393), _u16394))) )).
% 43.37/43.60 cnf(fact_in__set__remove1-2, axiom, ( ( _u16391 = _u16392) | ~hBOOL(hAPP(hAPP(c_member(_u16393), _u16391), hAPP(c_List_Oset(_u16393), _u16394))) | hBOOL(hAPP(hAPP(c_member(_u16393), _u16391), hAPP(c_List_Oset(_u16393), c_List_Oremove1(_u16393, _u16392, _u16394)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remove1_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remove1_Osimps_I2_J-1, axiom, ( ( _u16399 != _u16401) | ( c_List_Oremove1(_u16403, _u16399, hAPP(hAPP(c_List_Olist_OCons(_u16403), _u16401), _u16405)) = _u16405) )).
% 43.37/43.60 cnf(fact_remove1_Osimps_I2_J-2, axiom, ( ( _u16400 = _u16402) | ( c_List_Oremove1(_u16404, _u16400, hAPP(hAPP(c_List_Olist_OCons(_u16404), _u16402), _u16406)) = hAPP(hAPP(c_List_Olist_OCons(_u16404), _u16402), c_List_Oremove1(_u16404, _u16400, _u16406))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remove1__commute ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remove1__commute-1, axiom, ( ( c_List_Oremove1(_u16407, _u16408, c_List_Oremove1(_u16407, _u16409, _u16410)) = c_List_Oremove1(_u16407, _u16409, c_List_Oremove1(_u16407, _u16408, _u16410))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__remove1__subset ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__remove1__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16411, tc_HOL_Obool)), hAPP(c_List_Oset(_u16411), c_List_Oremove1(_u16411, _u16412, _u16413))), hAPP(c_List_Oset(_u16411), _u16413))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__remove1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16417), _u16419), hAPP(c_List_Oset(_u16417), _u16421))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16417)), c_List_Oremove1(_u16417, _u16419, _u16421)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16417)), _u16421)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.37/43.60 cnf(fact_length__remove1-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16418), _u16420), hAPP(c_List_Oset(_u16418), _u16422))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16418)), c_List_Oremove1(_u16418, _u16420, _u16422)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16418)), _u16422)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__list__of__set__remove ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__list__of__set__remove-1, axiom, ( ~class_Orderings_Olinorder(_u16423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16423), _u16424)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16423, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16423, tc_HOL_Obool)), _u16424), hAPP(hAPP(c_Set_Oinsert(_u16423), _u16425), c_Orderings_Obot__class_Obot(tc_fun(_u16423, tc_HOL_Obool))))) = c_List_Oremove1(_u16423, _u16425, c_List_Olinorder__class_Osorted__list__of__set(_u16423, _u16424))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__Cons__number__of ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16430) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16432), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16430)), hAPP(hAPP(c_List_Olist_OCons(_u16432), _u16434), _u16436)) = c_List_Olist_ONil(_u16432)) )).
% 43.37/43.60 cnf(fact_take__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16431) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16433), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16431)), hAPP(hAPP(c_List_Olist_OCons(_u16433), _u16435), _u16437)) = hAPP(hAPP(c_List_Olist_OCons(_u16433), _u16435), hAPP(hAPP(c_List_Otake(_u16433), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16431)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16437))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists_ONil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16438)), c_List_Olist_ONil(_u16438)), c_List_Olists(_u16438, _u16439))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__Nil1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__Nil1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16440), tc_List_Olist(_u16440))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16440), tc_List_Olist(_u16440)), c_List_Olist_ONil(_u16440)), _u16441)), c_List_Olistrel(_u16440, _u16442))) | ( _u16441 = c_List_Olist_ONil(_u16440)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__Nil2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__Nil2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16443), tc_List_Olist(_u16443))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16443), tc_List_Olist(_u16443)), _u16444), c_List_Olist_ONil(_u16443))), c_List_Olistrel(_u16443, _u16445))) | ( _u16444 = c_List_Olist_ONil(_u16443)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct_Osimps_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u16446), c_List_Olist_ONil(_u16446))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__butlast ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__butlast-1, axiom, ( ( _u16447 = c_List_Olist_ONil(_u16448)) | ~hBOOL(hAPP(c_List_Odistinct(_u16448), _u16447)) | hBOOL(hAPP(c_List_Odistinct(_u16448), c_List_Obutlast(_u16448, _u16447))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remove1_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remove1_Osimps_I1_J-1, axiom, ( ( c_List_Oremove1(_u16449, _u16450, c_List_Olist_ONil(_u16449)) = c_List_Olist_ONil(_u16449)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublist__empty ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublist__empty-1, axiom, ( ( c_List_Osublist(_u16451, _u16452, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u16451)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16453, _u16454), c_List_Olist_ONil(_u16453)), _u16455) = c_List_Olist_ONil(tc_prod(_u16453, _u16454))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16456, _u16457), _u16458), c_List_Olist_ONil(_u16457)) = c_List_Olist_ONil(tc_prod(_u16456, _u16457))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list_Osize_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list_Osize_I1_J-1, axiom, ( ( c_List_Olist_Olist__size(_u16459, _u16460, c_List_Olist_ONil(_u16459)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__list__of__set__empty ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__list__of__set__empty-1, axiom, ( ~class_Orderings_Olinorder(_u16461) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16461, c_Orderings_Obot__class_Obot(tc_fun(_u16461, tc_HOL_Obool))) = c_List_Olist_ONil(_u16461)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublist__nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublist__nil-1, axiom, ( ( c_List_Osublist(_u16462, c_List_Olist_ONil(_u16462), _u16463) = c_List_Olist_ONil(_u16462)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrelp_Oequations_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrelp_Oequations_I1_J-1, axiom, ( c_List_Olistrelp(_u16464, _u16465, c_List_Olist_ONil(_u16464), c_List_Olist_ONil(_u16464)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrelp_ONil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrelp_ONil-1, axiom, ( c_List_Olistrelp(_u16466, _u16467, c_List_Olist_ONil(_u16466), c_List_Olist_ONil(_u16466)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_product_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_product_Osimps_I1_J-1, axiom, ( ( c_Enum_Oproduct(_u16468, _u16469, c_List_Olist_ONil(_u16468), _u16470) = c_List_Olist_ONil(tc_prod(_u16468, _u16469))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upto__empty ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upto__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u16471), _u16472)) | ( c_List_Oupto(_u16472, _u16471) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list_Osimps_I2_J-1, axiom, ( ( c_List_Olist_ONil(_u16473) != hAPP(hAPP(c_List_Olist_OCons(_u16473), _u16474), _u16475)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list_Osimps_I3_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list_Osimps_I3_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16476), _u16477), _u16478) != c_List_Olist_ONil(_u16476)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublists_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublists_Osimps_I1_J-1, axiom, ( ( c_Enum_Osublists(_u16479, c_List_Olist_ONil(_u16479)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16479)), c_List_Olist_ONil(_u16479)), c_List_Olist_ONil(tc_List_Olist(_u16479)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16480), _u16481), c_List_Olist_ONil(_u16480)) = c_List_Olist_ONil(_u16480)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__eq__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16485), _u16487), _u16489) != c_List_Olist_ONil(_u16485)) | ( _u16487 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16489 = c_List_Olist_ONil(_u16485)) )).
% 43.37/43.60 cnf(fact_take__eq__Nil-2, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16486), _u16488), _u16490) = c_List_Olist_ONil(_u16486)) | ( _u16488 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60 cnf(fact_take__eq__Nil-3, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16486), _u16488), _u16490) = c_List_Olist_ONil(_u16486)) | ( _u16490 != c_List_Olist_ONil(_u16486)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__0 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__0-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16491), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16492) = c_List_Olist_ONil(_u16491)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_n__lists__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_n__lists__Nil-1, axiom, ( ( _u16495 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16497, _u16495, c_List_Olist_ONil(_u16497)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16497)), c_List_Olist_ONil(_u16497)), c_List_Olist_ONil(tc_List_Olist(_u16497)))) )).
% 43.37/43.60 cnf(fact_n__lists__Nil-2, axiom, ( ( _u16496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16498, _u16496, c_List_Olist_ONil(_u16498)) = c_List_Olist_ONil(tc_List_Olist(_u16498))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_n__lists_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_n__lists_Osimps_I1_J-1, axiom, ( ( c_Enum_On__lists(_u16499, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16500) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16499)), c_List_Olist_ONil(_u16499)), c_List_Olist_ONil(tc_List_Olist(_u16499)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_List_Oset_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_List_Oset_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Oset(_u16501), c_List_Olist_ONil(_u16501)) = c_Orderings_Obot__class_Obot(tc_fun(_u16501, tc_HOL_Obool))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__empty2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__empty2-1, axiom, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u16504, tc_HOL_Obool)) != hAPP(c_List_Oset(_u16504), _u16506)) | ( _u16506 = c_List_Olist_ONil(_u16504)) )).
% 43.37/43.60 cnf(fact_set__empty2-2, axiom, ( ( _u16507 != c_List_Olist_ONil(_u16505)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u16505, tc_HOL_Obool)) = hAPP(c_List_Oset(_u16505), _u16507)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__empty ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__empty-1, axiom, ( ( hAPP(c_List_Oset(_u16510), _u16512) != c_Orderings_Obot__class_Obot(tc_fun(_u16510, tc_HOL_Obool))) | ( _u16512 = c_List_Olist_ONil(_u16510)) )).
% 43.37/43.60 cnf(fact_set__empty-2, axiom, ( ( _u16513 != c_List_Olist_ONil(_u16511)) | ( hAPP(c_List_Oset(_u16511), _u16513) = c_Orderings_Obot__class_Obot(tc_fun(_u16511, tc_HOL_Obool))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_butlast_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_butlast_Osimps_I2_J-1, axiom, ( ( _u16517 != c_List_Olist_ONil(_u16519)) | ( c_List_Obutlast(_u16519, hAPP(hAPP(c_List_Olist_OCons(_u16519), _u16521), _u16517)) = c_List_Olist_ONil(_u16519)) )).
% 43.37/43.60 cnf(fact_butlast_Osimps_I2_J-2, axiom, ( ( _u16518 = c_List_Olist_ONil(_u16520)) | ( c_List_Obutlast(_u16520, hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), _u16518)) = hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), c_List_Obutlast(_u16520, _u16518))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__0__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__0__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16525)), _u16527) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16527 = c_List_Olist_ONil(_u16525)) )).
% 43.37/43.60 cnf(fact_length__0__conv-2, axiom, ( ( _u16528 != c_List_Olist_ONil(_u16526)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16526)), _u16528) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list_Osize_I3_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16529)), c_List_Olist_ONil(_u16529)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_butlast_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_butlast_Osimps_I1_J-1, axiom, ( ( c_List_Obutlast(_u16530, c_List_Olist_ONil(_u16530)) = c_List_Olist_ONil(_u16530)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__simps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__simps_I1_J-1, axiom, ( ~class_Groups_Omonoid__add(_u16531) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16531), c_List_Olist_ONil(_u16531)) = c_Groups_Ozero__class_Ozero(_u16531)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__code_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__code_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16532, c_List_Olist_ONil(_u16532)), _u16533), _u16534) = c_List_Olist_ONil(_u16532)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16535, c_List_Olist_ONil(_u16535)), _u16536), _u16537) = c_List_Olist_ONil(_u16535)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__nonempty ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__nonempty-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16542, _u16544), _u16546), _u16548) != c_List_Olist_ONil(_u16542)) | ( _u16544 = c_List_Olist_ONil(_u16542)) )).
% 43.37/43.60 cnf(fact_list__update__nonempty-2, axiom, ( ( _u16545 != c_List_Olist_ONil(_u16543)) | ( hAPP(hAPP(c_List_Olist__update(_u16543, _u16545), _u16547), _u16549) = c_List_Olist_ONil(_u16543)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__greater__0__conv ( axiom ) converted to clauses:
% 43.37/43.60 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(_u16552)), _u16554))) | ( _u16554 != c_List_Olist_ONil(_u16552)) )).
% 43.37/43.60 cnf(fact_length__greater__0__conv-2, axiom, ( ( _u16555 = c_List_Olist_ONil(_u16553)) | 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(_u16553)), _u16555))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__1__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16556), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16556), _u16557), _u16558)) = hAPP(hAPP(c_List_Olist_OCons(_u16556), _u16557), c_List_Olist_ONil(_u16556))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_not__listrel1__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_not__listrel1__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16559), tc_List_Olist(_u16559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16559), tc_List_Olist(_u16559)), _u16560), c_List_Olist_ONil(_u16559))), c_List_Olistrel1(_u16559, _u16561))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_not__Nil__listrel1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_not__Nil__listrel1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16562), tc_List_Olist(_u16562))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16562), tc_List_Olist(_u16562)), c_List_Olist_ONil(_u16562)), _u16563)), c_List_Olistrel1(_u16562, _u16564))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel_ONil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel_ONil-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16565), tc_List_Olist(_u16565))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16565), tc_List_Olist(_u16565)), c_List_Olist_ONil(_u16565)), c_List_Olist_ONil(_u16565))), c_List_Olistrel(_u16565, _u16566))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lexord__Nil__right ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lexord__Nil__right-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16567), tc_List_Olist(_u16567))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16567), tc_List_Olist(_u16567)), _u16568), c_List_Olist_ONil(_u16567))), c_List_Olexord(_u16567, _u16569))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Nil__notin__lex ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Nil__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16570), tc_List_Olist(_u16570))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16570), tc_List_Olist(_u16570)), c_List_Olist_ONil(_u16570)), _u16571)), c_List_Olex(_u16570, _u16572))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Nil2__notin__lex ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Nil2__notin__lex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16573), tc_List_Olist(_u16573))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16573), tc_List_Olist(_u16573)), _u16574), c_List_Olist_ONil(_u16573))), c_List_Olex(_u16573, _u16575))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16576), _u16577), hAPP(hAPP(c_List_Olist_OCons(_u16576), _u16578), _u16579)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16576), c_List_Olist_ONil(_u16576), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16576), tc_List_Olist(_u16576), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16576), _u16578)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16576), tc_List_Olist(_u16576)), c_List_Otake(_u16576)), _u16579)), _u16577)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upto_Osimps ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upto_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16582), _u16584)) | ( c_List_Oupto(_u16582, _u16584) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16582), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16582), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16584))) )).
% 43.37/43.60 cnf(fact_upto_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16583), _u16585)) | ( c_List_Oupto(_u16583, _u16585) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublist__singleton ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublist__singleton-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16589)) | ( c_List_Osublist(_u16591, hAPP(hAPP(c_List_Olist_OCons(_u16591), _u16593), c_List_Olist_ONil(_u16591)), _u16589) = hAPP(hAPP(c_List_Olist_OCons(_u16591), _u16593), c_List_Olist_ONil(_u16591))) )).
% 43.37/43.60 cnf(fact_sublist__singleton-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16590)) | ( c_List_Osublist(_u16592, hAPP(hAPP(c_List_Olist_OCons(_u16592), _u16594), c_List_Olist_ONil(_u16592)), _u16590) = c_List_Olist_ONil(_u16592)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists__empty ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists__empty-1, axiom, ( ( c_List_Olists(_u16595, c_Orderings_Obot__class_Obot(tc_fun(_u16595, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16595)), c_List_Olist_ONil(_u16595)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16595), tc_HOL_Obool)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__Cons_H ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__Cons_H-1, axiom, ( ( _u16600 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16602), _u16600), hAPP(hAPP(c_List_Olist_OCons(_u16602), _u16604), _u16606)) = c_List_Olist_ONil(_u16602)) )).
% 43.37/43.60 cnf(fact_take__Cons_H-2, axiom, ( ( _u16601 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16603), _u16601), hAPP(hAPP(c_List_Olist_OCons(_u16603), _u16605), _u16607)) = hAPP(hAPP(c_List_Olist_OCons(_u16603), _u16605), hAPP(hAPP(c_List_Otake(_u16603), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16601), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16607))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upto__rec__number__of ( axiom ) converted to clauses:
% 43.37/43.60 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), _u16610)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16612))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16610), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16612)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16610)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16610)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16612)))) )).
% 43.37/43.60 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), _u16611)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16613))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16611), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16613)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel__Nil-1, axiom, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u16614), tc_List_Olist(_u16614), c_List_Olistrel(_u16614, _u16615)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16614)), c_List_Olist_ONil(_u16614)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16614), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16614)), c_List_Olist_ONil(_u16614)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16614), tc_HOL_Obool)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__Cons__sing__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__Cons__sing__Nil-1, axiom, ( ( c_List_Oset__Cons(_u16616, _u16617, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16616)), c_List_Olist_ONil(_u16616)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16616), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u16616, tc_List_Olist(_u16616), hAPP(hAPP(c_COMBC(_u16616, tc_List_Olist(_u16616), tc_List_Olist(_u16616)), c_List_Olist_OCons(_u16616)), c_List_Olist_ONil(_u16616))), _u16617)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upto_Opsimps ( axiom ) converted to clauses:
% 43.37/43.60 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), _u16618), _u16619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16618), _u16619)) | ( c_List_Oupto(_u16618, _u16619) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16618), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16618), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16619))) )).
% 43.37/43.60 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), _u16618), _u16619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16618), _u16619)) | ( c_List_Oupto(_u16618, _u16619) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_select ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_select-1, axiom, ( ( _u16620 = c_List_Olist_ONil(_u16621)) | hBOOL(hAPP(hAPP(c_member(_u16621), hAPP(c_Product__Type_Ofst(_u16621, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u16621, _u16620), _u16622))), hAPP(c_List_Oset(_u16621), _u16620))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listset_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listset_Osimps_I1_J-1, axiom, ( ( c_List_Olistset(_u16623, c_List_Olist_ONil(tc_fun(_u16623, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16623)), c_List_Olist_ONil(_u16623)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16623), tc_HOL_Obool)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16624, _u16625), _u16626), hAPP(hAPP(c_List_Olist_OCons(_u16625), _u16627), _u16628)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16624, _u16625)), _u16624, c_List_Olist_ONil(tc_prod(_u16624, _u16625)), hAPP(hAPP(c_COMBC(_u16624, tc_fun(tc_List_Olist(_u16624), tc_List_Olist(tc_prod(_u16624, _u16625))), tc_fun(tc_List_Olist(_u16624), tc_List_Olist(tc_prod(_u16624, _u16625)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16624, _u16625)), tc_List_Olist(tc_prod(_u16624, _u16625))), tc_fun(tc_fun(tc_List_Olist(_u16624), tc_List_Olist(tc_prod(_u16624, _u16625))), tc_fun(tc_List_Olist(_u16624), tc_List_Olist(tc_prod(_u16624, _u16625)))), _u16624), c_COMBB(tc_List_Olist(tc_prod(_u16624, _u16625)), tc_List_Olist(tc_prod(_u16624, _u16625)), tc_List_Olist(_u16624))), hAPP(hAPP(c_COMBB(tc_prod(_u16624, _u16625), tc_fun(tc_List_Olist(tc_prod(_u16624, _u16625)), tc_List_Olist(tc_prod(_u16624, _u16625))), _u16624), c_List_Olist_OCons(tc_prod(_u16624, _u16625))), hAPP(hAPP(c_COMBC(_u16624, _u16625, tc_prod(_u16624, _u16625)), c_Product__Type_OPair(_u16624, _u16625)), _u16627)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16624), tc_List_Olist(_u16625), tc_List_Olist(tc_prod(_u16624, _u16625))), c_List_Ozip(_u16624, _u16625)), _u16628))), _u16626)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list_Osimps_I5_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list_Osimps_I5_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u16629, _u16630, _u16631, _u16632), hAPP(hAPP(c_List_Olist_OCons(_u16630), _u16633), _u16634)) = hAPP(hAPP(_u16632, _u16633), _u16634)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list_Osimps_I4_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list_Osimps_I4_J-1, axiom, ( ( hAPP(c_List_Olist_Olist__case(_u16635, _u16636, _u16637, _u16638), c_List_Olist_ONil(_u16636)) = _u16637) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listset_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listset_Osimps_I2_J-1, axiom, ( ( c_List_Olistset(_u16639, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u16639, tc_HOL_Obool)), _u16640), _u16641)) = c_List_Oset__Cons(_u16639, _u16640, c_List_Olistset(_u16639, _u16641))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__Cons1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__Cons1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u16642, _u16643), hAPP(hAPP(c_List_Olist_OCons(_u16642), _u16644), _u16645)), _u16646) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16642, _u16643)), _u16643, c_List_Olist_ONil(tc_prod(_u16642, _u16643)), hAPP(hAPP(c_COMBC(_u16643, tc_fun(tc_List_Olist(_u16643), tc_List_Olist(tc_prod(_u16642, _u16643))), tc_fun(tc_List_Olist(_u16643), tc_List_Olist(tc_prod(_u16642, _u16643)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16642, _u16643)), tc_List_Olist(tc_prod(_u16642, _u16643))), tc_fun(tc_fun(tc_List_Olist(_u16643), tc_List_Olist(tc_prod(_u16642, _u16643))), tc_fun(tc_List_Olist(_u16643), tc_List_Olist(tc_prod(_u16642, _u16643)))), _u16643), c_COMBB(tc_List_Olist(tc_prod(_u16642, _u16643)), tc_List_Olist(tc_prod(_u16642, _u16643)), tc_List_Olist(_u16643))), hAPP(hAPP(c_COMBB(tc_prod(_u16642, _u16643), tc_fun(tc_List_Olist(tc_prod(_u16642, _u16643)), tc_List_Olist(tc_prod(_u16642, _u16643))), _u16643), c_List_Olist_OCons(tc_prod(_u16642, _u16643))), hAPP(c_Product__Type_OPair(_u16642, _u16643), _u16644)))), hAPP(c_List_Ozip(_u16642, _u16643), _u16645))), _u16646)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upto_Opinduct ( axiom ) converted to clauses:
% 43.37/43.60 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), _u16649), _u16650))) | hBOOL(hAPP(hAPP(_u16651, _u16649), _u16650)) | 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), skolem442(_u16651, _u16650, _u16649)), skolem443(_u16651, _u16650, _u16649)))) )).
% 43.37/43.60 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), _u16649), _u16650))) | hBOOL(hAPP(hAPP(_u16651, _u16649), _u16650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem442(_u16651, _u16650, _u16649)), skolem443(_u16651, _u16650, _u16649))) | hBOOL(hAPP(hAPP(_u16651, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem442(_u16651, _u16650, _u16649)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem443(_u16651, _u16650, _u16649))) )).
% 43.37/43.60 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), _u16649), _u16650))) | hBOOL(hAPP(hAPP(_u16651, _u16649), _u16650)) | ~hBOOL(hAPP(hAPP(_u16651, skolem442(_u16651, _u16650, _u16649)), skolem443(_u16651, _u16650, _u16649))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_anamorph_Osimps ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_anamorph_Osimps-1, axiom, ( ( _u16657 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16659, _u16661, _u16663), _u16657), _u16665) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16661), _u16659), c_List_Olist_ONil(_u16661)), _u16665)) )).
% 43.37/43.60 cnf(fact_anamorph_Osimps-2, axiom, ( ( _u16658 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16660, _u16662, _u16664), _u16658), _u16666) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16662), _u16660), tc_prod(_u16662, _u16660), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16662), _u16660), c_List_Olist_ONil(_u16662)), _u16666), hAPP(c_Product__Type_Oprod_Oprod__case(_u16662, _u16660, tc_prod(tc_List_Olist(_u16662), _u16660)), hAPP(hAPP(c_COMBC(_u16662, tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660)), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16662), _u16660), tc_prod(tc_List_Olist(_u16662), _u16660)), tc_fun(tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660)), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), _u16662), c_COMBB(tc_prod(tc_List_Olist(_u16662), _u16660), tc_prod(tc_List_Olist(_u16662), _u16660), _u16660)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16662), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), tc_fun(tc_prod(tc_List_Olist(_u16662), _u16660), tc_prod(tc_List_Olist(_u16662), _u16660)), _u16662), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16662), _u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16662), tc_List_Olist(_u16662)), tc_fun(tc_List_Olist(_u16662), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), _u16662), hAPP(c_COMBB(tc_List_Olist(_u16662), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660)), tc_List_Olist(_u16662)), c_Product__Type_OPair(tc_List_Olist(_u16662), _u16660))), c_List_Olist_OCons(_u16662))))), hAPP(c_Lazy__Sequence_Oanamorph(_u16660, _u16662, _u16664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16658), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u16664, _u16666))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublist__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublist__Cons-1, axiom, ( ( c_List_Osublist(_u16667, hAPP(hAPP(c_List_Olist_OCons(_u16667), _u16668), _u16669), _u16670) = hAPP(hAPP(c_List_Oappend(_u16667), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16667)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16670)), hAPP(hAPP(c_List_Olist_OCons(_u16667), _u16668), c_List_Olist_ONil(_u16667))), c_List_Olist_ONil(_u16667))), c_List_Osublist(_u16667, _u16669, 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)), _u16670))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_snoc__listrel1__snoc__iff ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_snoc__listrel1__snoc__iff-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Oappend(_u16677), _u16679), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16681), c_List_Olist_ONil(_u16677)))), hAPP(hAPP(c_List_Oappend(_u16677), _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16685), c_List_Olist_ONil(_u16677))))), c_List_Olistrel1(_u16677, _u16687))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), _u16679), _u16683)), c_List_Olistrel1(_u16677, _u16687))) | ( _u16679 = _u16683) )).
% 43.37/43.60 cnf(fact_snoc__listrel1__snoc__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Oappend(_u16677), _u16679), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16681), c_List_Olist_ONil(_u16677)))), hAPP(hAPP(c_List_Oappend(_u16677), _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16685), c_List_Olist_ONil(_u16677))))), c_List_Olistrel1(_u16677, _u16687))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), _u16679), _u16683)), c_List_Olistrel1(_u16677, _u16687))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16677, _u16677)), hAPP(hAPP(c_Product__Type_OPair(_u16677, _u16677), _u16681), _u16685)), _u16687)) )).
% 43.37/43.60 cnf(fact_snoc__listrel1__snoc__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Oappend(_u16677), _u16679), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16681), c_List_Olist_ONil(_u16677)))), hAPP(hAPP(c_List_Oappend(_u16677), _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16685), c_List_Olist_ONil(_u16677))))), c_List_Olistrel1(_u16677, _u16687))) | ( _u16681 = _u16685) | ( _u16679 = _u16683) )).
% 43.37/43.60 cnf(fact_snoc__listrel1__snoc__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Oappend(_u16677), _u16679), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16681), c_List_Olist_ONil(_u16677)))), hAPP(hAPP(c_List_Oappend(_u16677), _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16685), c_List_Olist_ONil(_u16677))))), c_List_Olistrel1(_u16677, _u16687))) | ( _u16681 = _u16685) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16677, _u16677)), hAPP(hAPP(c_Product__Type_OPair(_u16677, _u16677), _u16681), _u16685)), _u16687)) )).
% 43.37/43.60 cnf(fact_snoc__listrel1__snoc__iff-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16678), tc_List_Olist(_u16678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16678), tc_List_Olist(_u16678)), hAPP(hAPP(c_List_Oappend(_u16678), _u16680), hAPP(hAPP(c_List_Olist_OCons(_u16678), _u16682), c_List_Olist_ONil(_u16678)))), hAPP(hAPP(c_List_Oappend(_u16678), _u16684), hAPP(hAPP(c_List_Olist_OCons(_u16678), _u16686), c_List_Olist_ONil(_u16678))))), c_List_Olistrel1(_u16678, _u16688))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16678), tc_List_Olist(_u16678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16678), tc_List_Olist(_u16678)), _u16680), _u16684)), c_List_Olistrel1(_u16678, _u16688))) | ( _u16682 != _u16686) )).
% 43.37/43.60 cnf(fact_snoc__listrel1__snoc__iff-6, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16678), tc_List_Olist(_u16678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16678), tc_List_Olist(_u16678)), hAPP(hAPP(c_List_Oappend(_u16678), _u16680), hAPP(hAPP(c_List_Olist_OCons(_u16678), _u16682), c_List_Olist_ONil(_u16678)))), hAPP(hAPP(c_List_Oappend(_u16678), _u16684), hAPP(hAPP(c_List_Olist_OCons(_u16678), _u16686), c_List_Olist_ONil(_u16678))))), c_List_Olistrel1(_u16678, _u16688))) | ( _u16680 != _u16684) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16678, _u16678)), hAPP(hAPP(c_Product__Type_OPair(_u16678, _u16678), _u16682), _u16686)), _u16688)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__eq__Cons__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__eq__Cons__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16696), _u16698), _u16700) != hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16698 = c_List_Olist_ONil(_u16696)) | ( _u16698 = hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), skolem444(_u16704, _u16702, _u16700, _u16698, _u16696))) )).
% 43.37/43.60 cnf(fact_append__eq__Cons__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16696), _u16698), _u16700) != hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16698 = c_List_Olist_ONil(_u16696)) | ( hAPP(hAPP(c_List_Oappend(_u16696), skolem444(_u16704, _u16702, _u16700, _u16698, _u16696)), _u16700) = _u16704) )).
% 43.37/43.60 cnf(fact_append__eq__Cons__conv-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16696), _u16698), _u16700) != hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16700 = hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16698 = hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), skolem444(_u16704, _u16702, _u16700, _u16698, _u16696))) )).
% 43.37/43.60 cnf(fact_append__eq__Cons__conv-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16696), _u16698), _u16700) != hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16700 = hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( hAPP(hAPP(c_List_Oappend(_u16696), skolem444(_u16704, _u16702, _u16700, _u16698, _u16696)), _u16700) = _u16704) )).
% 43.37/43.60 cnf(fact_append__eq__Cons__conv-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16697), _u16699), _u16701) = hAPP(hAPP(c_List_Olist_OCons(_u16697), _u16703), _u16705)) | ( _u16699 != c_List_Olist_ONil(_u16697)) | ( _u16701 != hAPP(hAPP(c_List_Olist_OCons(_u16697), _u16703), _u16705)) )).
% 43.37/43.60 cnf(fact_append__eq__Cons__conv-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16697), _u16699), _u16701) = hAPP(hAPP(c_List_Olist_OCons(_u16697), _u16703), _u16705)) | ( _u16699 != hAPP(hAPP(c_List_Olist_OCons(_u16697), _u16703), _u16690)) | ( hAPP(hAPP(c_List_Oappend(_u16697), _u16690), _u16701) != _u16705) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Cons__eq__append__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Cons__eq__append__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) != hAPP(hAPP(c_List_Oappend(_u16713), _u16719), _u16721)) | ( _u16719 = c_List_Olist_ONil(_u16713)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), skolem445(_u16721, _u16719, _u16717, _u16715, _u16713)) = _u16719) )).
% 43.37/43.60 cnf(fact_Cons__eq__append__conv-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) != hAPP(hAPP(c_List_Oappend(_u16713), _u16719), _u16721)) | ( _u16719 = c_List_Olist_ONil(_u16713)) | ( _u16717 = hAPP(hAPP(c_List_Oappend(_u16713), skolem445(_u16721, _u16719, _u16717, _u16715, _u16713)), _u16721)) )).
% 43.37/43.60 cnf(fact_Cons__eq__append__conv-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) != hAPP(hAPP(c_List_Oappend(_u16713), _u16719), _u16721)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) = _u16721) | ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), skolem445(_u16721, _u16719, _u16717, _u16715, _u16713)) = _u16719) )).
% 43.37/43.60 cnf(fact_Cons__eq__append__conv-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) != hAPP(hAPP(c_List_Oappend(_u16713), _u16719), _u16721)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) = _u16721) | ( _u16717 = hAPP(hAPP(c_List_Oappend(_u16713), skolem445(_u16721, _u16719, _u16717, _u16715, _u16713)), _u16721)) )).
% 43.37/43.60 cnf(fact_Cons__eq__append__conv-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16714), _u16716), _u16718) = hAPP(hAPP(c_List_Oappend(_u16714), _u16720), _u16722)) | ( _u16720 != c_List_Olist_ONil(_u16714)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16714), _u16716), _u16718) != _u16722) )).
% 43.37/43.60 cnf(fact_Cons__eq__append__conv-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16714), _u16716), _u16718) = hAPP(hAPP(c_List_Oappend(_u16714), _u16720), _u16722)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16714), _u16716), _u16707) != _u16720) | ( _u16718 != hAPP(hAPP(c_List_Oappend(_u16714), _u16707), _u16722)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append1__eq__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append1__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16728), _u16730), hAPP(hAPP(c_List_Olist_OCons(_u16728), _u16732), c_List_Olist_ONil(_u16728))) != hAPP(hAPP(c_List_Oappend(_u16728), _u16734), hAPP(hAPP(c_List_Olist_OCons(_u16728), _u16736), c_List_Olist_ONil(_u16728)))) | ( _u16730 = _u16734) )).
% 43.37/43.60 cnf(fact_append1__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16728), _u16730), hAPP(hAPP(c_List_Olist_OCons(_u16728), _u16732), c_List_Olist_ONil(_u16728))) != hAPP(hAPP(c_List_Oappend(_u16728), _u16734), hAPP(hAPP(c_List_Olist_OCons(_u16728), _u16736), c_List_Olist_ONil(_u16728)))) | ( _u16732 = _u16736) )).
% 43.37/43.60 cnf(fact_append1__eq__conv-3, axiom, ( ( _u16731 != _u16735) | ( _u16733 != _u16737) | ( hAPP(hAPP(c_List_Oappend(_u16729), _u16731), hAPP(hAPP(c_List_Olist_OCons(_u16729), _u16733), c_List_Olist_ONil(_u16729))) = hAPP(hAPP(c_List_Oappend(_u16729), _u16735), hAPP(hAPP(c_List_Olist_OCons(_u16729), _u16737), c_List_Olist_ONil(_u16729)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16738), hAPP(hAPP(c_List_Olist_OCons(_u16738), _u16739), _u16740)), _u16741) = hAPP(hAPP(c_List_Olist_OCons(_u16738), _u16739), hAPP(hAPP(c_List_Oappend(_u16738), _u16740), _u16741))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Cons__eq__appendI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Cons__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16742), _u16743), _u16744) != _u16745) | ( _u16746 != hAPP(hAPP(c_List_Oappend(_u16742), _u16744), _u16747)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16742), _u16743), _u16746) = hAPP(hAPP(c_List_Oappend(_u16742), _u16745), _u16747)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__in__lists__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__in__lists__conv-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16752)), hAPP(hAPP(c_List_Oappend(_u16752), _u16754), _u16756)), c_List_Olists(_u16752, _u16758))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16752)), _u16754), c_List_Olists(_u16752, _u16758))) )).
% 43.37/43.60 cnf(fact_append__in__lists__conv-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16752)), hAPP(hAPP(c_List_Oappend(_u16752), _u16754), _u16756)), c_List_Olists(_u16752, _u16758))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16752)), _u16756), c_List_Olists(_u16752, _u16758))) )).
% 43.37/43.60 cnf(fact_append__in__lists__conv-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16753)), _u16755), c_List_Olists(_u16753, _u16759))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16753)), _u16757), c_List_Olists(_u16753, _u16759))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16753)), hAPP(hAPP(c_List_Oappend(_u16753), _u16755), _u16757)), c_List_Olists(_u16753, _u16759))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__eq__appendI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__eq__appendI-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16760), _u16761), _u16762) != _u16763) | ( _u16764 != hAPP(hAPP(c_List_Oappend(_u16760), _u16762), _u16765)) | ( hAPP(hAPP(c_List_Oappend(_u16760), _u16761), _u16764) = hAPP(hAPP(c_List_Oappend(_u16760), _u16763), _u16765)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__same__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__same__eq-1, axiom, ( ( _u16772 = _u16776) | ( hAPP(hAPP(c_List_Oappend(_u16770), _u16772), _u16774) != hAPP(hAPP(c_List_Oappend(_u16770), _u16776), _u16774)) )).
% 43.37/43.60 cnf(fact_append__same__eq-2, axiom, ( ( _u16773 != _u16777) | ( hAPP(hAPP(c_List_Oappend(_u16771), _u16773), _u16775) = hAPP(hAPP(c_List_Oappend(_u16771), _u16777), _u16775)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_same__append__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_same__append__eq-1, axiom, ( ( _u16786 = _u16788) | ( hAPP(hAPP(c_List_Oappend(_u16782), _u16784), _u16786) != hAPP(hAPP(c_List_Oappend(_u16782), _u16784), _u16788)) )).
% 43.37/43.60 cnf(fact_same__append__eq-2, axiom, ( ( _u16787 != _u16789) | ( hAPP(hAPP(c_List_Oappend(_u16783), _u16785), _u16787) = hAPP(hAPP(c_List_Oappend(_u16783), _u16785), _u16789)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__eq__append__conv2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__eq__append__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), _u16805) != hAPP(hAPP(c_List_Oappend(_u16801), _u16807), _u16809)) | ( _u16803 = hAPP(hAPP(c_List_Oappend(_u16801), _u16807), skolem446(_u16809, _u16807, _u16805, _u16803, _u16801))) | ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), skolem447(_u16809, _u16807, _u16805, _u16803, _u16801)) = _u16807) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv2-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), _u16805) != hAPP(hAPP(c_List_Oappend(_u16801), _u16807), _u16809)) | ( _u16803 = hAPP(hAPP(c_List_Oappend(_u16801), _u16807), skolem446(_u16809, _u16807, _u16805, _u16803, _u16801))) | ( _u16805 = hAPP(hAPP(c_List_Oappend(_u16801), skolem447(_u16809, _u16807, _u16805, _u16803, _u16801)), _u16809)) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv2-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), _u16805) != hAPP(hAPP(c_List_Oappend(_u16801), _u16807), _u16809)) | ( hAPP(hAPP(c_List_Oappend(_u16801), skolem446(_u16809, _u16807, _u16805, _u16803, _u16801)), _u16805) = _u16809) | ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), skolem447(_u16809, _u16807, _u16805, _u16803, _u16801)) = _u16807) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv2-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), _u16805) != hAPP(hAPP(c_List_Oappend(_u16801), _u16807), _u16809)) | ( hAPP(hAPP(c_List_Oappend(_u16801), skolem446(_u16809, _u16807, _u16805, _u16803, _u16801)), _u16805) = _u16809) | ( _u16805 = hAPP(hAPP(c_List_Oappend(_u16801), skolem447(_u16809, _u16807, _u16805, _u16803, _u16801)), _u16809)) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv2-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16802), _u16804), _u16806) = hAPP(hAPP(c_List_Oappend(_u16802), _u16808), _u16810)) | ( _u16804 != hAPP(hAPP(c_List_Oappend(_u16802), _u16808), _u16799)) | ( hAPP(hAPP(c_List_Oappend(_u16802), _u16799), _u16806) != _u16810) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv2-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16802), _u16804), _u16806) = hAPP(hAPP(c_List_Oappend(_u16802), _u16808), _u16810)) | ( hAPP(hAPP(c_List_Oappend(_u16802), _u16804), _u16800) != _u16808) | ( _u16806 != hAPP(hAPP(c_List_Oappend(_u16802), _u16800), _u16810)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__assoc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__assoc-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16811), hAPP(hAPP(c_List_Oappend(_u16811), _u16812), _u16813)), _u16814) = hAPP(hAPP(c_List_Oappend(_u16811), _u16812), hAPP(hAPP(c_List_Oappend(_u16811), _u16813), _u16814))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__append-1, axiom, ( ( hAPP(c_List_Oset(_u16815), hAPP(hAPP(c_List_Oappend(_u16815), _u16816), _u16817)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16815, tc_HOL_Obool)), hAPP(c_List_Oset(_u16815), _u16816)), hAPP(c_List_Oset(_u16815), _u16817))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16818)), _u16819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16820)), _u16821)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16818)), _u16822) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16820)), _u16823)) | ( hAPP(hAPP(c_List_Ozip(_u16818, _u16820), hAPP(hAPP(c_List_Oappend(_u16818), _u16819), _u16822)), hAPP(hAPP(c_List_Oappend(_u16820), _u16821), _u16823)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16818, _u16820)), hAPP(hAPP(c_List_Ozip(_u16818, _u16820), _u16819), _u16821)), hAPP(hAPP(c_List_Ozip(_u16818, _u16820), _u16822), _u16823))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16824)), hAPP(hAPP(c_List_Oappend(_u16824), _u16825), _u16826)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16824)), _u16825)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16824)), _u16826))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__append-1, axiom, ( ~class_Groups_Omonoid__add(_u16827) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16827), hAPP(hAPP(c_List_Oappend(_u16827), _u16828), _u16829)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16827), hAPP(c_List_Omonoid__add__class_Olistsum(_u16827), _u16828)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16827), _u16829))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_butlast__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_butlast__append-1, axiom, ( ( _u16833 != c_List_Olist_ONil(_u16835)) | ( c_List_Obutlast(_u16835, hAPP(hAPP(c_List_Oappend(_u16835), _u16837), _u16833)) = c_List_Obutlast(_u16835, _u16837)) )).
% 43.37/43.60 cnf(fact_butlast__append-2, axiom, ( ( _u16834 = c_List_Olist_ONil(_u16836)) | ( c_List_Obutlast(_u16836, hAPP(hAPP(c_List_Oappend(_u16836), _u16838), _u16834)) = hAPP(hAPP(c_List_Oappend(_u16836), _u16838), c_List_Obutlast(_u16836, _u16834))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16839), c_List_Olist_ONil(_u16839)), _u16840) = _u16840) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Nil__is__append__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Nil__is__append__conv-1, axiom, ( ( c_List_Olist_ONil(_u16844) != hAPP(hAPP(c_List_Oappend(_u16844), _u16846), _u16848)) | ( _u16846 = c_List_Olist_ONil(_u16844)) )).
% 43.37/43.60 cnf(fact_Nil__is__append__conv-2, axiom, ( ( c_List_Olist_ONil(_u16844) != hAPP(hAPP(c_List_Oappend(_u16844), _u16846), _u16848)) | ( _u16848 = c_List_Olist_ONil(_u16844)) )).
% 43.37/43.60 cnf(fact_Nil__is__append__conv-3, axiom, ( ( _u16847 != c_List_Olist_ONil(_u16845)) | ( _u16849 != c_List_Olist_ONil(_u16845)) | ( c_List_Olist_ONil(_u16845) = hAPP(hAPP(c_List_Oappend(_u16845), _u16847), _u16849)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__Nil2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__Nil2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16850), _u16851), c_List_Olist_ONil(_u16850)) = _u16851) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_self__append__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_self__append__conv-1, axiom, ( ( _u16859 = c_List_Olist_ONil(_u16857)) | ( _u16855 != hAPP(hAPP(c_List_Oappend(_u16857), _u16855), _u16859)) )).
% 43.37/43.60 cnf(fact_self__append__conv-2, axiom, ( ( _u16860 != c_List_Olist_ONil(_u16858)) | ( _u16856 = hAPP(hAPP(c_List_Oappend(_u16858), _u16856), _u16860)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_self__append__conv2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_self__append__conv2-1, axiom, ( ( _u16868 = c_List_Olist_ONil(_u16866)) | ( _u16864 != hAPP(hAPP(c_List_Oappend(_u16866), _u16868), _u16864)) )).
% 43.37/43.60 cnf(fact_self__append__conv2-2, axiom, ( ( _u16869 != c_List_Olist_ONil(_u16867)) | ( _u16865 = hAPP(hAPP(c_List_Oappend(_u16867), _u16869), _u16865)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__is__Nil__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16873), _u16875), _u16877) != c_List_Olist_ONil(_u16873)) | ( _u16875 = c_List_Olist_ONil(_u16873)) )).
% 43.37/43.60 cnf(fact_append__is__Nil__conv-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16873), _u16875), _u16877) != c_List_Olist_ONil(_u16873)) | ( _u16877 = c_List_Olist_ONil(_u16873)) )).
% 43.37/43.60 cnf(fact_append__is__Nil__conv-3, axiom, ( ( _u16876 != c_List_Olist_ONil(_u16874)) | ( _u16878 != c_List_Olist_ONil(_u16874)) | ( hAPP(hAPP(c_List_Oappend(_u16874), _u16876), _u16878) = c_List_Olist_ONil(_u16874)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__self__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__self__conv-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16882), _u16884), _u16886) != _u16884) | ( _u16886 = c_List_Olist_ONil(_u16882)) )).
% 43.37/43.60 cnf(fact_append__self__conv-2, axiom, ( ( _u16887 != c_List_Olist_ONil(_u16883)) | ( hAPP(hAPP(c_List_Oappend(_u16883), _u16885), _u16887) = _u16885) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__self__conv2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__self__conv2-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u16891), _u16893), _u16895) != _u16895) | ( _u16893 = c_List_Olist_ONil(_u16891)) )).
% 43.37/43.60 cnf(fact_append__self__conv2-2, axiom, ( ( _u16894 != c_List_Olist_ONil(_u16892)) | ( hAPP(hAPP(c_List_Oappend(_u16892), _u16894), _u16896) = _u16896) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_eq__Nil__appendI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_eq__Nil__appendI-1, axiom, ( ( _u16897 != _u16898) | ( _u16897 = hAPP(hAPP(c_List_Oappend(_u16899), c_List_Olist_ONil(_u16899)), _u16898)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__append__length ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__append__length-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16900), hAPP(hAPP(c_List_Oappend(_u16900), _u16901), hAPP(hAPP(c_List_Olist_OCons(_u16900), _u16902), _u16903))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16900)), _u16901)) = _u16902) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__append__length__plus ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__append__length__plus-1, axiom, ( ( hAPP(hAPP(c_List_Onth(_u16904), hAPP(hAPP(c_List_Oappend(_u16904), _u16905), _u16906)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16904)), _u16905)), _u16907)) = hAPP(hAPP(c_List_Onth(_u16904), _u16906), _u16907)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__append-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u16908), _u16909), hAPP(hAPP(c_List_Oappend(_u16908), _u16910), _u16911)) = hAPP(hAPP(c_List_Oappend(_u16908), hAPP(hAPP(c_List_Otake(_u16908), _u16909), _u16910)), hAPP(hAPP(c_List_Otake(_u16908), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16909), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16908)), _u16910))), _u16911))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__append1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16912), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16913)), _u16914))) | ( hAPP(hAPP(c_List_Olist__update(_u16913, hAPP(hAPP(c_List_Oappend(_u16913), _u16914), _u16915)), _u16912), _u16916) = hAPP(hAPP(c_List_Oappend(_u16913), hAPP(hAPP(c_List_Olist__update(_u16913, _u16914), _u16912), _u16916)), _u16915)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__length ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__length-1, axiom, ( ( hAPP(hAPP(c_List_Olist__update(_u16917, hAPP(hAPP(c_List_Oappend(_u16917), _u16918), hAPP(hAPP(c_List_Olist_OCons(_u16917), _u16919), _u16920))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16917)), _u16918)), _u16921) = hAPP(hAPP(c_List_Oappend(_u16917), _u16918), hAPP(hAPP(c_List_Olist_OCons(_u16917), _u16921), _u16920))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remove1__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remove1__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u16926), _u16928), hAPP(c_List_Oset(_u16926), _u16930))) | ( c_List_Oremove1(_u16926, _u16928, hAPP(hAPP(c_List_Oappend(_u16926), _u16930), _u16932)) = hAPP(hAPP(c_List_Oappend(_u16926), c_List_Oremove1(_u16926, _u16928, _u16930)), _u16932)) )).
% 43.37/43.60 cnf(fact_remove1__append-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16927), _u16929), hAPP(c_List_Oset(_u16927), _u16931))) | ( c_List_Oremove1(_u16927, _u16929, hAPP(hAPP(c_List_Oappend(_u16927), _u16931), _u16933)) = hAPP(hAPP(c_List_Oappend(_u16927), _u16931), c_List_Oremove1(_u16927, _u16929, _u16933))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__set__butlast__appendI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__set__butlast__appendI-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16934), _u16935), hAPP(c_List_Oset(_u16934), c_List_Obutlast(_u16934, hAPP(hAPP(c_List_Oappend(_u16934), _u16936), _u16937))))) | ~hBOOL(hAPP(hAPP(c_member(_u16934), _u16935), hAPP(c_List_Oset(_u16934), c_List_Obutlast(_u16934, _u16936)))) )).
% 43.37/43.60 cnf(fact_in__set__butlast__appendI-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u16934), _u16935), hAPP(c_List_Oset(_u16934), c_List_Obutlast(_u16934, hAPP(hAPP(c_List_Oappend(_u16934), _u16936), _u16937))))) | ~hBOOL(hAPP(hAPP(c_member(_u16934), _u16935), hAPP(c_List_Oset(_u16934), c_List_Obutlast(_u16934, _u16937)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_butlast__snoc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_butlast__snoc-1, axiom, ( ( c_List_Obutlast(_u16938, hAPP(hAPP(c_List_Oappend(_u16938), _u16939), hAPP(hAPP(c_List_Olist_OCons(_u16938), _u16940), c_List_Olist_ONil(_u16938)))) = _u16939) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__listrel1I ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__listrel1I-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16941), tc_List_Olist(_u16941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16941), tc_List_Olist(_u16941)), hAPP(hAPP(c_List_Oappend(_u16941), _u16942), _u16945)), hAPP(hAPP(c_List_Oappend(_u16941), _u16943), _u16946))), c_List_Olistrel1(_u16941, _u16944))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16941), tc_List_Olist(_u16941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16941), tc_List_Olist(_u16941)), _u16942), _u16943)), c_List_Olistrel1(_u16941, _u16944))) | ( _u16945 != _u16946) )).
% 43.37/43.60 cnf(fact_append__listrel1I-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16941), tc_List_Olist(_u16941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16941), tc_List_Olist(_u16941)), hAPP(hAPP(c_List_Oappend(_u16941), _u16942), _u16945)), hAPP(hAPP(c_List_Oappend(_u16941), _u16943), _u16946))), c_List_Olistrel1(_u16941, _u16944))) | ( _u16942 != _u16943) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16941), tc_List_Olist(_u16941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16941), tc_List_Olist(_u16941)), _u16945), _u16946)), c_List_Olistrel1(_u16941, _u16944))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lexord__append__leftI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lexord__append__leftI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16947), tc_List_Olist(_u16947))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16947), tc_List_Olist(_u16947)), _u16948), _u16949)), c_List_Olexord(_u16947, _u16950))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16947), tc_List_Olist(_u16947))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16947), tc_List_Olist(_u16947)), hAPP(hAPP(c_List_Oappend(_u16947), _u16951), _u16948)), hAPP(hAPP(c_List_Oappend(_u16947), _u16951), _u16949))), c_List_Olexord(_u16947, _u16950))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__append-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16955), hAPP(hAPP(c_List_Oappend(_u16955), _u16957), _u16959))) | hBOOL(hAPP(c_List_Odistinct(_u16955), _u16957)) )).
% 43.37/43.60 cnf(fact_distinct__append-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16955), hAPP(hAPP(c_List_Oappend(_u16955), _u16957), _u16959))) | hBOOL(hAPP(c_List_Odistinct(_u16955), _u16959)) )).
% 43.37/43.60 cnf(fact_distinct__append-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16955), hAPP(hAPP(c_List_Oappend(_u16955), _u16957), _u16959))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16955, tc_HOL_Obool)), hAPP(c_List_Oset(_u16955), _u16957)), hAPP(c_List_Oset(_u16955), _u16959)) = c_Orderings_Obot__class_Obot(tc_fun(_u16955, tc_HOL_Obool))) )).
% 43.37/43.60 cnf(fact_distinct__append-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u16956), _u16958)) | ~hBOOL(hAPP(c_List_Odistinct(_u16956), _u16960)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16956, tc_HOL_Obool)), hAPP(c_List_Oset(_u16956), _u16958)), hAPP(c_List_Oset(_u16956), _u16960)) != c_Orderings_Obot__class_Obot(tc_fun(_u16956, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16956), hAPP(hAPP(c_List_Oappend(_u16956), _u16958), _u16960))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16965), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16967)), _u16969))) | ( hAPP(hAPP(c_List_Onth(_u16967), hAPP(hAPP(c_List_Oappend(_u16967), _u16969), _u16971)), _u16965) = hAPP(hAPP(c_List_Onth(_u16967), _u16969), _u16965)) )).
% 43.37/43.60 cnf(fact_nth__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16966), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16968)), _u16970))) | ( hAPP(hAPP(c_List_Onth(_u16968), hAPP(hAPP(c_List_Oappend(_u16968), _u16970), _u16972)), _u16966) = hAPP(hAPP(c_List_Onth(_u16968), _u16972), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16966), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16968)), _u16970)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__update__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__update__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16978), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16980)), _u16982))) | ( hAPP(hAPP(c_List_Olist__update(_u16980, hAPP(hAPP(c_List_Oappend(_u16980), _u16982), _u16984)), _u16978), _u16986) = hAPP(hAPP(c_List_Oappend(_u16980), hAPP(hAPP(c_List_Olist__update(_u16980, _u16982), _u16978), _u16986)), _u16984)) )).
% 43.37/43.60 cnf(fact_list__update__append-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16979), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16981)), _u16983))) | ( hAPP(hAPP(c_List_Olist__update(_u16981, hAPP(hAPP(c_List_Oappend(_u16981), _u16983), _u16985)), _u16979), _u16987) = hAPP(hAPP(c_List_Oappend(_u16981), _u16983), hAPP(hAPP(c_List_Olist__update(_u16981, _u16985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16979), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16981)), _u16983))), _u16987))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublist__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublist__append-1, axiom, ( ( c_List_Osublist(_u16988, hAPP(hAPP(c_List_Oappend(_u16988), _u16989), _u16990), _u16991) = hAPP(hAPP(c_List_Oappend(_u16988), c_List_Osublist(_u16988, _u16989, _u16991)), c_List_Osublist(_u16988, _u16990, 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(_u16988)), _u16989)))), _u16991))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel1I ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel1I-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16992, _u16992)), hAPP(hAPP(c_Product__Type_OPair(_u16992, _u16992), _u16993), _u16994)), _u16995)) | ( _u16996 != hAPP(hAPP(c_List_Oappend(_u16992), _u16997), hAPP(hAPP(c_List_Olist_OCons(_u16992), _u16993), _u16998))) | ( _u16999 != hAPP(hAPP(c_List_Oappend(_u16992), _u16997), hAPP(hAPP(c_List_Olist_OCons(_u16992), _u16994), _u16998))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16992), tc_List_Olist(_u16992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16992), tc_List_Olist(_u16992)), _u16996), _u16999)), c_List_Olistrel1(_u16992, _u16995))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lexord__append__left__rightI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lexord__append__left__rightI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17000, _u17000)), hAPP(hAPP(c_Product__Type_OPair(_u17000, _u17000), _u17001), _u17002)), _u17003)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17000), tc_List_Olist(_u17000))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17000), tc_List_Olist(_u17000)), hAPP(hAPP(c_List_Oappend(_u17000), _u17004), hAPP(hAPP(c_List_Olist_OCons(_u17000), _u17001), _u17005))), hAPP(hAPP(c_List_Oappend(_u17000), _u17004), hAPP(hAPP(c_List_Olist_OCons(_u17000), _u17002), _u17006)))), c_List_Olexord(_u17000, _u17003))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__Suc__conv__app__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__Suc__conv__app__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17007), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17008)), _u17009))) | ( hAPP(hAPP(c_List_Otake(_u17008), hAPP(c_Nat_OSuc, _u17007)), _u17009) = hAPP(hAPP(c_List_Oappend(_u17008), hAPP(hAPP(c_List_Otake(_u17008), _u17007), _u17009)), hAPP(hAPP(c_List_Olist_OCons(_u17008), hAPP(hAPP(c_List_Onth(_u17008), _u17009), _u17007)), c_List_Olist_ONil(_u17008)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listrel1E ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listrel1E-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17014), tc_List_Olist(_u17014))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17014), tc_List_Olist(_u17014)), _u17015), _u17016)), c_List_Olistrel1(_u17014, _u17017))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17014, _u17014)), hAPP(hAPP(c_Product__Type_OPair(_u17014, _u17014), skolem448(_u17017, _u17016, _u17015, _u17014)), skolem449(_u17017, _u17016, _u17015, _u17014))), _u17017)) )).
% 43.37/43.60 cnf(fact_listrel1E-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17014), tc_List_Olist(_u17014))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17014), tc_List_Olist(_u17014)), _u17015), _u17016)), c_List_Olistrel1(_u17014, _u17017))) | ( _u17015 = hAPP(hAPP(c_List_Oappend(_u17014), skolem450(_u17017, _u17016, _u17015, _u17014)), hAPP(hAPP(c_List_Olist_OCons(_u17014), skolem448(_u17017, _u17016, _u17015, _u17014)), skolem451(_u17017, _u17016, _u17015, _u17014)))) )).
% 43.37/43.60 cnf(fact_listrel1E-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17014), tc_List_Olist(_u17014))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17014), tc_List_Olist(_u17014)), _u17015), _u17016)), c_List_Olistrel1(_u17014, _u17017))) | ( _u17016 = hAPP(hAPP(c_List_Oappend(_u17014), skolem450(_u17017, _u17016, _u17015, _u17014)), hAPP(hAPP(c_List_Olist_OCons(_u17014), skolem449(_u17017, _u17016, _u17015, _u17014)), skolem451(_u17017, _u17016, _u17015, _u17014)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lexord__append__leftD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lexord__append__leftD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17019), tc_List_Olist(_u17019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17019), tc_List_Olist(_u17019)), hAPP(hAPP(c_List_Oappend(_u17019), _u17020), _u17021)), hAPP(hAPP(c_List_Oappend(_u17019), _u17020), _u17022))), c_List_Olexord(_u17019, _u17023))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17019, _u17019)), hAPP(hAPP(c_Product__Type_OPair(_u17019, _u17019), skolem452(_u17023, _u17022, _u17021, _u17020, _u17019)), skolem452(_u17023, _u17022, _u17021, _u17020, _u17019))), _u17023)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17019), tc_List_Olist(_u17019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17019), tc_List_Olist(_u17019)), _u17021), _u17022)), c_List_Olexord(_u17019, _u17023))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate1__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate1__def-1, axiom, ( ( hAPP(c_List_Orotate1(_u17024), _u17025) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17024), _u17024, c_List_Olist_ONil(_u17024), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17024), tc_fun(tc_List_Olist(_u17024), tc_List_Olist(_u17024)), _u17024), hAPP(c_COMBC(tc_List_Olist(_u17024), tc_List_Olist(_u17024), tc_List_Olist(_u17024)), c_List_Oappend(_u17024))), hAPP(hAPP(c_COMBC(_u17024, tc_List_Olist(_u17024), tc_List_Olist(_u17024)), c_List_Olist_OCons(_u17024)), c_List_Olist_ONil(_u17024)))), _u17025)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upd__conv__take__nth__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upd__conv__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17026), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17027)), _u17028))) | ( hAPP(hAPP(c_List_Olist__update(_u17027, _u17028), _u17026), _u17029) = hAPP(hAPP(c_List_Oappend(_u17027), hAPP(hAPP(c_List_Otake(_u17027), _u17026), _u17028)), hAPP(hAPP(c_List_Olist_OCons(_u17027), _u17029), hAPP(hAPP(c_List_Odrop(_u17027), hAPP(c_Nat_OSuc, _u17026)), _u17028)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__take__drop__id ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__take__drop__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17030), hAPP(hAPP(c_List_Otake(_u17030), _u17031), _u17032)), hAPP(hAPP(c_List_Odrop(_u17030), _u17031), _u17032)) = _u17032) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__Suc__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__Suc__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17033), hAPP(c_Nat_OSuc, _u17034)), hAPP(hAPP(c_List_Olist_OCons(_u17033), _u17035), _u17036)) = hAPP(hAPP(c_List_Odrop(_u17033), _u17034), _u17036)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__1__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__1__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17037), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u17037), _u17038), _u17039)) = _u17039) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__via__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__via__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17040), _u17041), _u17042) != hAPP(hAPP(c_List_Olist_OCons(_u17040), _u17043), _u17044)) | ( hAPP(hAPP(c_List_Onth(_u17040), _u17042), _u17041) = _u17043) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__drop-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17045), _u17046)) | hBOOL(hAPP(c_List_Odistinct(_u17045), hAPP(hAPP(c_List_Odrop(_u17045), _u17047), _u17046))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct1__rotate ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct1__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17050), hAPP(c_List_Orotate1(_u17050), _u17052))) | hBOOL(hAPP(c_List_Odistinct(_u17050), _u17052)) )).
% 43.37/43.60 cnf(fact_distinct1__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17051), _u17053)) | hBOOL(hAPP(c_List_Odistinct(_u17051), hAPP(c_List_Orotate1(_u17051), _u17053))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__zip ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__zip-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u17054, _u17055)), _u17056), hAPP(hAPP(c_List_Ozip(_u17054, _u17055), _u17057), _u17058)) = hAPP(hAPP(c_List_Ozip(_u17054, _u17055), hAPP(hAPP(c_List_Odrop(_u17054), _u17056), _u17057)), hAPP(hAPP(c_List_Odrop(_u17055), _u17056), _u17058))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__drop-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17059), _u17060), hAPP(hAPP(c_List_Odrop(_u17059), _u17061), _u17062)) = hAPP(hAPP(c_List_Odrop(_u17059), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17060), _u17061)), _u17062)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__0 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__0-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17063), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17064) = _u17064) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__drop-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17065), _u17066), hAPP(hAPP(c_List_Odrop(_u17065), _u17067), _u17068)) = hAPP(hAPP(c_List_Odrop(_u17065), _u17067), hAPP(hAPP(c_List_Otake(_u17065), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17066), _u17067)), _u17068))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__take-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17069), _u17070), hAPP(hAPP(c_List_Otake(_u17069), _u17071), _u17072)) = hAPP(hAPP(c_List_Otake(_u17069), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17071), _u17070)), hAPP(hAPP(c_List_Odrop(_u17069), _u17070), _u17072))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__set__dropD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__set__dropD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u17073), _u17074), hAPP(c_List_Oset(_u17073), hAPP(hAPP(c_List_Odrop(_u17073), _u17075), _u17076)))) | hBOOL(hAPP(hAPP(c_member(_u17073), _u17074), hAPP(c_List_Oset(_u17073), _u17076))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__rotate1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__rotate1-1, axiom, ( ( hAPP(c_List_Oset(_u17077), hAPP(c_List_Orotate1(_u17077), _u17078)) = hAPP(c_List_Oset(_u17077), _u17078)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__drop__subset ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__drop__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17079, tc_HOL_Obool)), hAPP(c_List_Oset(_u17079), hAPP(hAPP(c_List_Odrop(_u17079), _u17080), _u17081))), hAPP(c_List_Oset(_u17079), _u17081))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__rotate1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__rotate1-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17082)), hAPP(c_List_Orotate1(_u17082), _u17083)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17082)), _u17083)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__drop-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17084)), hAPP(hAPP(c_List_Odrop(_u17084), _u17085), _u17086)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17084)), _u17086)), _u17085)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_butlast__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_butlast__drop-1, axiom, ( ( c_List_Obutlast(_u17087, hAPP(hAPP(c_List_Odrop(_u17087), _u17088), _u17089)) = hAPP(hAPP(c_List_Odrop(_u17087), _u17088), c_List_Obutlast(_u17087, _u17089))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__butlast ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17090), _u17091), c_List_Obutlast(_u17090, _u17092)) = c_List_Obutlast(_u17090, hAPP(hAPP(c_List_Odrop(_u17090), _u17091), _u17092))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17093), _u17094), c_List_Olist_ONil(_u17093)) = c_List_Olist_ONil(_u17093)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate1__is__Nil__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate1__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate1(_u17097), _u17099) != c_List_Olist_ONil(_u17097)) | ( _u17099 = c_List_Olist_ONil(_u17097)) )).
% 43.37/43.60 cnf(fact_rotate1__is__Nil__conv-2, axiom, ( ( _u17100 != c_List_Olist_ONil(_u17098)) | ( hAPP(c_List_Orotate1(_u17098), _u17100) = c_List_Olist_ONil(_u17098)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__drop__subset__set__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__drop__subset__set__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17101), _u17102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17103, tc_HOL_Obool)), hAPP(c_List_Oset(_u17103), hAPP(hAPP(c_List_Odrop(_u17103), _u17102), _u17104))), hAPP(c_List_Oset(_u17103), hAPP(hAPP(c_List_Odrop(_u17103), _u17101), _u17104)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__all ( axiom ) converted to clauses:
% 43.37/43.60 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(_u17105)), _u17106)), _u17107)) | ( hAPP(hAPP(c_List_Odrop(_u17105), _u17107), _u17106) = c_List_Olist_ONil(_u17105)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__eq__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__eq__Nil-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17111), _u17113), _u17115) != c_List_Olist_ONil(_u17111)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17111)), _u17115)), _u17113)) )).
% 43.37/43.60 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(_u17112)), _u17116)), _u17114)) | ( hAPP(hAPP(c_List_Odrop(_u17112), _u17114), _u17116) = c_List_Olist_ONil(_u17112)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__append-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17117), _u17118), hAPP(hAPP(c_List_Oappend(_u17117), _u17119), _u17120)) = hAPP(hAPP(c_List_Oappend(_u17117), hAPP(hAPP(c_List_Odrop(_u17117), _u17118), _u17119)), hAPP(hAPP(c_List_Odrop(_u17117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17118), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17117)), _u17119))), _u17120))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__eq__conv__conj ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__eq__conv__conj-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17125), _u17127), _u17129) != _u17131) | ( _u17127 = hAPP(hAPP(c_List_Otake(_u17125), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17127)), _u17131)) )).
% 43.37/43.60 cnf(fact_append__eq__conv__conj-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17125), _u17127), _u17129) != _u17131) | ( _u17129 = hAPP(hAPP(c_List_Odrop(_u17125), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17127)), _u17131)) )).
% 43.37/43.60 cnf(fact_append__eq__conv__conj-3, axiom, ( ( _u17128 != hAPP(hAPP(c_List_Otake(_u17126), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17128)), _u17132)) | ( _u17130 != hAPP(hAPP(c_List_Odrop(_u17126), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17128)), _u17132)) | ( hAPP(hAPP(c_List_Oappend(_u17126), _u17128), _u17130) = _u17132) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__Cons-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17133), _u17134), hAPP(hAPP(c_List_Olist_OCons(_u17133), _u17135), _u17136)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u17133), hAPP(hAPP(c_List_Olist_OCons(_u17133), _u17135), _u17136), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u17133), tc_List_Olist(_u17133)), c_List_Odrop(_u17133)), _u17136), _u17134)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__Cons_H ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__Cons_H-1, axiom, ( ( _u17141 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17143), _u17141), hAPP(hAPP(c_List_Olist_OCons(_u17143), _u17145), _u17147)) = hAPP(hAPP(c_List_Olist_OCons(_u17143), _u17145), _u17147)) )).
% 43.37/43.60 cnf(fact_drop__Cons_H-2, axiom, ( ( _u17142 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17144), _u17142), hAPP(hAPP(c_List_Olist_OCons(_u17144), _u17146), _u17148)) = hAPP(hAPP(c_List_Odrop(_u17144), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17142), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17148)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__drop ( axiom ) converted to clauses:
% 43.37/43.60 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), _u17149), _u17150)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17151)), _u17152))) | ( hAPP(hAPP(c_List_Onth(_u17151), hAPP(hAPP(c_List_Odrop(_u17151), _u17149), _u17152)), _u17150) = hAPP(hAPP(c_List_Onth(_u17151), _u17152), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17149), _u17150))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__eq__append__conv__if ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__eq__append__conv__if-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17158), _u17160), _u17162) != hAPP(hAPP(c_List_Oappend(_u17158), _u17164), _u17166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164))) | ( _u17160 = hAPP(hAPP(c_List_Otake(_u17158), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), _u17164)) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv__if-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17158), _u17160), _u17162) != hAPP(hAPP(c_List_Oappend(_u17158), _u17164), _u17166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164))) | ( _u17162 = hAPP(hAPP(c_List_Oappend(_u17158), hAPP(hAPP(c_List_Odrop(_u17158), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), _u17164)), _u17166)) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv__if-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17158), _u17160), _u17162) != hAPP(hAPP(c_List_Oappend(_u17158), _u17164), _u17166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164))) | ( hAPP(hAPP(c_List_Otake(_u17158), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164)), _u17160) = _u17164) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv__if-4, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17158), _u17160), _u17162) != hAPP(hAPP(c_List_Oappend(_u17158), _u17164), _u17166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164))) | ( hAPP(hAPP(c_List_Oappend(_u17158), hAPP(hAPP(c_List_Odrop(_u17158), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164)), _u17160)), _u17162) = _u17166) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv__if-5, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17159), _u17161), _u17163) = hAPP(hAPP(c_List_Oappend(_u17159), _u17165), _u17167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165))) | ( hAPP(hAPP(c_List_Otake(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165)), _u17161) != _u17165) | ( hAPP(hAPP(c_List_Oappend(_u17159), hAPP(hAPP(c_List_Odrop(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165)), _u17161)), _u17163) != _u17167) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv__if-6, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17159), _u17161), _u17163) = hAPP(hAPP(c_List_Oappend(_u17159), _u17165), _u17167)) | ( _u17161 != hAPP(hAPP(c_List_Otake(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), _u17165)) | ( _u17163 != hAPP(hAPP(c_List_Oappend(_u17159), hAPP(hAPP(c_List_Odrop(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), _u17165)), _u17167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165))) )).
% 43.37/43.60 cnf(fact_append__eq__append__conv__if-7, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17159), _u17161), _u17163) = hAPP(hAPP(c_List_Oappend(_u17159), _u17165), _u17167)) | ( _u17161 != hAPP(hAPP(c_List_Otake(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), _u17165)) | ( _u17163 != hAPP(hAPP(c_List_Oappend(_u17159), hAPP(hAPP(c_List_Odrop(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), _u17165)), _u17167)) | ( hAPP(hAPP(c_List_Otake(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165)), _u17161) != _u17165) | ( hAPP(hAPP(c_List_Oappend(_u17159), hAPP(hAPP(c_List_Odrop(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165)), _u17161)), _u17163) != _u17167) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__drop_H ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__drop_H-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17168), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17169)), _u17170))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17169), hAPP(hAPP(c_List_Onth(_u17169), _u17170), _u17168)), hAPP(hAPP(c_List_Odrop(_u17169), hAPP(c_Nat_OSuc, _u17168)), _u17170)) = hAPP(hAPP(c_List_Odrop(_u17169), _u17168), _u17170)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__simps ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__simps-1, axiom, ( ( hAPP(c_List_Orotate1(_u17171), c_List_Olist_ONil(_u17171)) = c_List_Olist_ONil(_u17171)) )).
% 43.37/43.60 cnf(fact_rotate__simps-2, axiom, ( ( hAPP(c_List_Orotate1(_u17172), hAPP(hAPP(c_List_Olist_OCons(_u17172), _u17173), _u17174)) = hAPP(hAPP(c_List_Oappend(_u17172), _u17174), hAPP(hAPP(c_List_Olist_OCons(_u17172), _u17173), c_List_Olist_ONil(_u17172)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__Cons__number__of ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__Cons__number__of-1, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17179) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17179)), hAPP(hAPP(c_List_Olist_OCons(_u17181), _u17183), _u17185)) = hAPP(hAPP(c_List_Olist_OCons(_u17181), _u17183), _u17185)) )).
% 43.37/43.60 cnf(fact_drop__Cons__number__of-2, axiom, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17180) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17180)), hAPP(hAPP(c_List_Olist_OCons(_u17182), _u17184), _u17186)) = hAPP(hAPP(c_List_Odrop(_u17182), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17180)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17186)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__add ( axiom ) converted to clauses:
% 43.37/43.60 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), _u17187), _u17188)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17189)), _u17190))) | ( hAPP(hAPP(c_List_Otake(_u17189), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17187), _u17188)), _u17190) = hAPP(hAPP(c_List_Oappend(_u17189), hAPP(hAPP(c_List_Otake(_u17189), _u17187), _u17190)), hAPP(hAPP(c_List_Otake(_u17189), _u17188), hAPP(hAPP(c_List_Odrop(_u17189), _u17187), _u17190)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate1__length01 ( axiom ) converted to clauses:
% 43.37/43.60 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(_u17191)), _u17192)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u17191), _u17192) = _u17192) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__append2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__append2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17193, _u17194), _u17195), hAPP(hAPP(c_List_Oappend(_u17194), _u17196), _u17197)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17193, _u17194)), hAPP(hAPP(c_List_Ozip(_u17193, _u17194), hAPP(hAPP(c_List_Otake(_u17193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17194)), _u17196)), _u17195)), _u17196)), hAPP(hAPP(c_List_Ozip(_u17193, _u17194), hAPP(hAPP(c_List_Odrop(_u17193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17194)), _u17196)), _u17195)), _u17197))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__append1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__append1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17198, _u17199), hAPP(hAPP(c_List_Oappend(_u17198), _u17200), _u17201)), _u17202) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17198, _u17199)), hAPP(hAPP(c_List_Ozip(_u17198, _u17199), _u17200), hAPP(hAPP(c_List_Otake(_u17199), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17198)), _u17200)), _u17202))), hAPP(hAPP(c_List_Ozip(_u17198, _u17199), _u17201), hAPP(hAPP(c_List_Odrop(_u17199), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17198)), _u17200)), _u17202)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_id__take__nth__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_id__take__nth__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17203), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17204)), _u17205))) | ( _u17205 = hAPP(hAPP(c_List_Oappend(_u17204), hAPP(hAPP(c_List_Otake(_u17204), _u17203), _u17205)), hAPP(hAPP(c_List_Olist_OCons(_u17204), hAPP(hAPP(c_List_Onth(_u17204), _u17205), _u17203)), hAPP(hAPP(c_List_Odrop(_u17204), hAPP(c_Nat_OSuc, _u17203)), _u17205)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__hd__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__hd__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17206), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17207)), _u17208))) | ( hAPP(hAPP(c_List_Oappend(_u17207), hAPP(hAPP(c_List_Otake(_u17207), _u17206), _u17208)), hAPP(hAPP(c_List_Olist_OCons(_u17207), hAPP(c_List_Ohd(_u17207), hAPP(hAPP(c_List_Odrop(_u17207), _u17206), _u17208))), c_List_Olist_ONil(_u17207))) = hAPP(hAPP(c_List_Otake(_u17207), hAPP(c_Nat_OSuc, _u17206)), _u17208)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__drop__conv__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__drop__conv__nth-1, axiom, ( ( _u17209 = c_List_Olist_ONil(_u17210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17211), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17210)), _u17209))) | ( hAPP(c_List_Ohd(_u17210), hAPP(hAPP(c_List_Odrop(_u17210), _u17211), _u17209)) = hAPP(hAPP(c_List_Onth(_u17210), _u17209), _u17211)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd_Osimps ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd_Osimps-1, axiom, ( ( hAPP(c_List_Ohd(_u17212), hAPP(hAPP(c_List_Olist_OCons(_u17212), _u17213), _u17214)) = _u17213) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__append2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__append2-1, axiom, ( ( _u17215 = c_List_Olist_ONil(_u17216)) | ( hAPP(c_List_Ohd(_u17216), hAPP(hAPP(c_List_Oappend(_u17216), _u17215), _u17217)) = hAPP(c_List_Ohd(_u17216), _u17215)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__append-1, axiom, ( ( _u17221 != c_List_Olist_ONil(_u17223)) | ( hAPP(c_List_Ohd(_u17223), hAPP(hAPP(c_List_Oappend(_u17223), _u17221), _u17225)) = hAPP(c_List_Ohd(_u17223), _u17225)) )).
% 43.37/43.60 cnf(fact_hd__append-2, axiom, ( ( _u17222 = c_List_Olist_ONil(_u17224)) | ( hAPP(c_List_Ohd(_u17224), hAPP(hAPP(c_List_Oappend(_u17224), _u17222), _u17226)) = hAPP(c_List_Ohd(_u17224), _u17222)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__in__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__in__set-1, axiom, ( ( _u17227 = c_List_Olist_ONil(_u17228)) | hBOOL(hAPP(hAPP(c_member(_u17228), hAPP(c_List_Ohd(_u17228), _u17227)), hAPP(c_List_Oset(_u17228), _u17227))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__conv__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__conv__nth-1, axiom, ( ( _u17229 = c_List_Olist_ONil(_u17230)) | ( hAPP(c_List_Ohd(_u17230), _u17229) = hAPP(hAPP(c_List_Onth(_u17230), _u17229), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate1__hd__tl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate1__hd__tl-1, axiom, ( ( _u17231 = c_List_Olist_ONil(_u17232)) | ( hAPP(c_List_Orotate1(_u17232), _u17231) = hAPP(hAPP(c_List_Oappend(_u17232), hAPP(c_List_Otl(_u17232), _u17231)), hAPP(hAPP(c_List_Olist_OCons(_u17232), hAPP(c_List_Ohd(_u17232), _u17231)), c_List_Olist_ONil(_u17232)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__rotate__conv__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__rotate__conv__nth-1, axiom, ( ( _u17233 = c_List_Olist_ONil(_u17234)) | ( hAPP(c_List_Ohd(_u17234), hAPP(c_List_Orotate(_u17234, _u17235), _u17233)) = hAPP(hAPP(c_List_Onth(_u17234), _u17233), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17235, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17234)), _u17233)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__tl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__tl-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17236), _u17237), hAPP(c_List_Otl(_u17236), _u17238)) = hAPP(c_List_Otl(_u17236), hAPP(hAPP(c_List_Odrop(_u17236), _u17237), _u17238))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_tl__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_tl__drop-1, axiom, ( ( hAPP(c_List_Otl(_u17239), hAPP(hAPP(c_List_Odrop(_u17239), _u17240), _u17241)) = hAPP(hAPP(c_List_Odrop(_u17239), _u17240), hAPP(c_List_Otl(_u17239), _u17241))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_tl_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_tl_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Otl(_u17242), hAPP(hAPP(c_List_Olist_OCons(_u17242), _u17243), _u17244)) = _u17244) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__tl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__tl-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17245), _u17246)) | hBOOL(hAPP(c_List_Odistinct(_u17245), hAPP(c_List_Otl(_u17245), _u17246))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__rotate ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__rotate-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17250), hAPP(c_List_Orotate(_u17250, _u17252), _u17254))) | hBOOL(hAPP(c_List_Odistinct(_u17250), _u17254)) )).
% 43.37/43.60 cnf(fact_distinct__rotate-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17251), _u17255)) | hBOOL(hAPP(c_List_Odistinct(_u17251), hAPP(c_List_Orotate(_u17251, _u17253), _u17255))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__add ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__add-1, axiom, ( ( c_List_Orotate(_u17256, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17257), _u17258)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u17256), tc_List_Olist(_u17256), tc_List_Olist(_u17256), c_List_Orotate(_u17256, _u17257)), c_List_Orotate(_u17256, _u17258))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__rotate ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__rotate-1, axiom, ( ( hAPP(c_List_Orotate(_u17259, _u17260), hAPP(c_List_Orotate(_u17259, _u17261), _u17262)) = hAPP(c_List_Orotate(_u17259, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17260), _u17261)), _u17262)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate0 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate0-1, axiom, ( ( c_List_Orotate(_u17263, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u17263))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__rotate ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__rotate-1, axiom, ( ( hAPP(c_List_Oset(_u17264), hAPP(c_List_Orotate(_u17264, _u17265), _u17266)) = hAPP(c_List_Oset(_u17264), _u17266)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__rotate ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__rotate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17267)), hAPP(c_List_Orotate(_u17267, _u17268), _u17269)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17267)), _u17269)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_tl_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_tl_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Otl(_u17270), c_List_Olist_ONil(_u17270)) = c_List_Olist_ONil(_u17270)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__is__Nil__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orotate(_u17274, _u17276), _u17278) != c_List_Olist_ONil(_u17274)) | ( _u17278 = c_List_Olist_ONil(_u17274)) )).
% 43.37/43.60 cnf(fact_rotate__is__Nil__conv-2, axiom, ( ( _u17279 != c_List_Olist_ONil(_u17275)) | ( hAPP(c_List_Orotate(_u17275, _u17277), _u17279) = c_List_Olist_ONil(_u17275)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate1__rotate__swap ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate1__rotate__swap-1, axiom, ( ( hAPP(c_List_Orotate1(_u17280), hAPP(c_List_Orotate(_u17280, _u17281), _u17282)) = hAPP(c_List_Orotate(_u17280, _u17281), hAPP(c_List_Orotate1(_u17280), _u17282))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__def-1, axiom, ( ( c_List_Orotate(_u17283, _u17284) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u17283), tc_List_Olist(_u17283)), _u17284), c_List_Orotate1(_u17283))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_tl__append2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_tl__append2-1, axiom, ( ( _u17285 = c_List_Olist_ONil(_u17286)) | ( hAPP(c_List_Otl(_u17286), hAPP(hAPP(c_List_Oappend(_u17286), _u17285), _u17287)) = hAPP(hAPP(c_List_Oappend(_u17286), hAPP(c_List_Otl(_u17286), _u17285)), _u17287)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__tl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__tl-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17288), _u17289), hAPP(c_List_Otl(_u17288), _u17290)) = hAPP(c_List_Otl(_u17288), hAPP(hAPP(c_List_Otake(_u17288), hAPP(c_Nat_OSuc, _u17289)), _u17290))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__conv__mod ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__conv__mod-1, axiom, ( ( hAPP(c_List_Orotate(_u17291, _u17292), _u17293) = hAPP(c_List_Orotate(_u17291, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17292, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17291)), _u17293))), _u17293)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__Suc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17294), hAPP(c_Nat_OSuc, _u17295)), _u17296) = hAPP(hAPP(c_List_Odrop(_u17294), _u17295), hAPP(c_List_Otl(_u17294), _u17296))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__Suc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__Suc-1, axiom, ( ( hAPP(c_List_Orotate(_u17297, hAPP(c_Nat_OSuc, _u17298)), _u17299) = hAPP(c_List_Orotate1(_u17297), hAPP(c_List_Orotate(_u17297, _u17298), _u17299))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_tl__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_tl__append-1, axiom, ( ( hAPP(c_List_Otl(_u17300), hAPP(hAPP(c_List_Oappend(_u17300), _u17301), _u17302)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17300), _u17300, hAPP(c_List_Otl(_u17300), _u17302), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17300), tc_List_Olist(_u17300)), _u17300), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17300), tc_List_Olist(_u17300), tc_List_Olist(_u17300)), c_List_Oappend(_u17300)), _u17302))), _u17301)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__id ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__id-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17303, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17304)), _u17305)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u17304, _u17303), _u17305) = _u17305) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__length01 ( axiom ) converted to clauses:
% 43.37/43.60 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(_u17306)), _u17307)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u17306, _u17308), _u17307) = _u17307) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__tl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__tl-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17309)), hAPP(c_List_Otl(_u17309), _u17310)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17309)), _u17310)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_tl__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_tl__take-1, axiom, ( ( hAPP(c_List_Otl(_u17311), hAPP(hAPP(c_List_Otake(_u17311), _u17312), _u17313)) = hAPP(hAPP(c_List_Otake(_u17311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17312), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u17311), _u17313))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__Suc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__Suc-1, axiom, ( ( _u17314 = c_List_Olist_ONil(_u17315)) | ( hAPP(hAPP(c_List_Otake(_u17315), hAPP(c_Nat_OSuc, _u17316)), _u17314) = hAPP(hAPP(c_List_Olist_OCons(_u17315), hAPP(c_List_Ohd(_u17315), _u17314)), hAPP(hAPP(c_List_Otake(_u17315), _u17316), hAPP(c_List_Otl(_u17315), _u17314)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__drop__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__drop__take-1, axiom, ( ( hAPP(c_List_Orotate(_u17317, _u17318), _u17319) = hAPP(hAPP(c_List_Oappend(_u17317), hAPP(hAPP(c_List_Odrop(_u17317), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17318, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17317)), _u17319))), _u17319)), hAPP(hAPP(c_List_Otake(_u17317), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17318, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17317)), _u17319))), _u17319))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_fold1__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_fold1__set-1, axiom, ( ~class_Lattices_Oab__semigroup__idem__mult(_u17320) | ( _u17321 = c_List_Olist_ONil(_u17320)) | ( hAPP(c_Finite__Set_Ofold1(_u17320, c_Groups_Otimes__class_Otimes(_u17320)), hAPP(c_List_Oset(_u17320), _u17321)) = hAPP(c_List_Ofoldl(_u17320, _u17320, c_Groups_Otimes__class_Otimes(_u17320), hAPP(c_List_Ohd(_u17320), _u17321)), hAPP(c_List_Otl(_u17320), _u17321))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lexord__append__rightI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lexord__append__rightI-1, axiom, ( ( _u17324 != hAPP(hAPP(c_List_Olist_OCons(_u17325), _u17323), _u17322)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17325), tc_List_Olist(_u17325))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17325), tc_List_Olist(_u17325)), _u17326), hAPP(hAPP(c_List_Oappend(_u17325), _u17326), _u17324))), c_List_Olexord(_u17325, _u17327))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__Nil-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17328, _u17329, _u17330, _u17331), c_List_Olist_ONil(_u17329)) = _u17331) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_start__le__sum ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_start__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17332), _u17333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17332), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17333), _u17334))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__absorb0 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__absorb0-1, axiom, ( ~class_Groups_Omonoid__add(_u17335) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17335), _u17336), hAPP(c_List_Ofoldl(_u17335, _u17335, c_Groups_Oplus__class_Oplus(_u17335), c_Groups_Ozero__class_Ozero(_u17335)), _u17337)) = hAPP(c_List_Ofoldl(_u17335, _u17335, c_Groups_Oplus__class_Oplus(_u17335), _u17336), _u17337)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__assoc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__assoc-1, axiom, ( ~class_Groups_Osemigroup__add(_u17338) | ( hAPP(c_List_Ofoldl(_u17338, _u17338, c_Groups_Oplus__class_Oplus(_u17338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17338), _u17339), _u17340)), _u17341) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17338), _u17339), hAPP(c_List_Ofoldl(_u17338, _u17338, c_Groups_Oplus__class_Oplus(_u17338), _u17340), _u17341))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__Cons-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17342, _u17343, _u17344, _u17345), hAPP(hAPP(c_List_Olist_OCons(_u17343), _u17346), _u17347)) = hAPP(c_List_Ofoldl(_u17342, _u17343, _u17344, hAPP(hAPP(_u17344, _u17345), _u17346)), _u17347)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__append-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17348, _u17349, _u17350, _u17351), hAPP(hAPP(c_List_Oappend(_u17349), _u17352), _u17353)) = hAPP(c_List_Ofoldl(_u17348, _u17349, _u17350, hAPP(c_List_Ofoldl(_u17348, _u17349, _u17350, _u17351), _u17352)), _u17353)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__foldl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__foldl-1, axiom, ( ~class_Groups_Omonoid__add(_u17354) | ( c_List_Omonoid__add__class_Olistsum(_u17354) = c_List_Ofoldl(_u17354, _u17354, c_Groups_Oplus__class_Oplus(_u17354), c_Groups_Ozero__class_Ozero(_u17354))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sum__eq__0__conv ( axiom ) converted to clauses:
% 43.37/43.60 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), _u17359), _u17361) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17359 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60 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), _u17359), _u17361) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17355), hAPP(c_List_Oset(tc_Nat_Onat), _u17361))) | ( _u17355 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60 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), _u17360), _u17362) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17360 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem453(_u17362, _u17360)), hAPP(c_List_Oset(tc_Nat_Onat), _u17362))) )).
% 43.37/43.60 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), _u17360), _u17362) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17360 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem453(_u17362, _u17360) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_fun__left__comm__idem_Ofold__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_fun__left__comm__idem_Ofold__set-1, axiom, ( ~c_Finite__Set_Ofun__left__comm__idem(_u17363, _u17364, _u17365) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17363, _u17364, _u17365), _u17366), hAPP(c_List_Oset(_u17363), _u17367)) = hAPP(c_List_Ofoldl(_u17364, _u17363, hAPP(c_COMBC(_u17363, _u17364, _u17364), _u17365), _u17366), _u17367)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Sup__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Sup__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17368) | ( c_Complete__Lattice_OSup__class_OSup(_u17368, hAPP(c_List_Oset(_u17368), _u17369)) = hAPP(c_List_Ofoldl(_u17368, _u17368, c_Lattices_Osemilattice__sup__class_Osup(_u17368), c_Orderings_Obot__class_Obot(_u17368)), _u17369)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Inf__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Inf__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17370) | ( c_Complete__Lattice_OInf__class_OInf(_u17370, hAPP(c_List_Oset(_u17370), _u17371)) = hAPP(c_List_Ofoldl(_u17370, _u17370, c_Lattices_Osemilattice__inf__class_Oinf(_u17370), c_Orderings_Otop__class_Otop(_u17370)), _u17371)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Sup__fin__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Sup__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u17372) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17372, hAPP(c_List_Oset(_u17372), hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17373), _u17374))) = hAPP(c_List_Ofoldl(_u17372, _u17372, c_Lattices_Osemilattice__sup__class_Osup(_u17372), _u17373), _u17374)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Inf__fin__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Inf__fin__set__fold-1, axiom, ( ~class_Lattices_Olattice(_u17375) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17375, hAPP(c_List_Oset(_u17375), hAPP(hAPP(c_List_Olist_OCons(_u17375), _u17376), _u17377))) = hAPP(c_List_Ofoldl(_u17375, _u17375, c_Lattices_Osemilattice__inf__class_Oinf(_u17375), _u17376), _u17377)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Min__fin__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Min__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17378) | ( c_Big__Operators_Olinorder__class_OMin(_u17378, hAPP(c_List_Oset(_u17378), hAPP(hAPP(c_List_Olist_OCons(_u17378), _u17379), _u17380))) = hAPP(c_List_Ofoldl(_u17378, _u17378, c_Orderings_Oord__class_Omin(_u17378), _u17379), _u17380)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Max__fin__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Max__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17381) | ( c_Big__Operators_Olinorder__class_OMax(_u17381, hAPP(c_List_Oset(_u17381), hAPP(hAPP(c_List_Olist_OCons(_u17381), _u17382), _u17383))) = hAPP(c_List_Ofoldl(_u17381, _u17381, c_Orderings_Oord__class_Omax(_u17381), _u17382), _u17383)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_min__max_OInf__fin__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_min__max_OInf__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17384) | ( c_Big__Operators_Olattice_OInf__fin(_u17384, c_Orderings_Oord__class_Omin(_u17384), hAPP(c_List_Oset(_u17384), hAPP(hAPP(c_List_Olist_OCons(_u17384), _u17385), _u17386))) = hAPP(c_List_Ofoldl(_u17384, _u17384, c_Orderings_Oord__class_Omin(_u17384), _u17385), _u17386)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_min__max_OSup__fin__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_min__max_OSup__fin__set__fold-1, axiom, ( ~class_Orderings_Olinorder(_u17387) | ( c_Big__Operators_Olattice_OSup__fin(_u17387, c_Orderings_Oord__class_Omax(_u17387), hAPP(c_List_Oset(_u17387), hAPP(hAPP(c_List_Olist_OCons(_u17387), _u17388), _u17389))) = hAPP(c_List_Ofoldl(_u17387, _u17387, c_Orderings_Oord__class_Omax(_u17387), _u17388), _u17389)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_SUPR__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_SUPR__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17390) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17391, _u17390), hAPP(c_List_Oset(_u17391), _u17392)), _u17393) = hAPP(c_List_Ofoldl(_u17390, _u17391, hAPP(c_COMBC(_u17391, _u17390, _u17390), hAPP(hAPP(c_COMBB(_u17390, tc_fun(_u17390, _u17390), _u17391), c_Lattices_Osemilattice__sup__class_Osup(_u17390)), _u17393)), c_Orderings_Obot__class_Obot(_u17390)), _u17392)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_INFI__set__fold ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_INFI__set__fold-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17394) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17395, _u17394), hAPP(c_List_Oset(_u17395), _u17396)), _u17397) = hAPP(c_List_Ofoldl(_u17394, _u17395, hAPP(c_COMBC(_u17395, _u17394, _u17394), hAPP(hAPP(c_COMBB(_u17394, tc_fun(_u17394, _u17394), _u17395), c_Lattices_Osemilattice__inf__class_Oinf(_u17394)), _u17397)), c_Orderings_Otop__class_Otop(_u17394)), _u17396)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_elem__le__sum ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_elem__le__sum-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17398), hAPP(c_List_Oset(tc_Nat_Onat), _u17399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17398), 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)), _u17399))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__list__of__set__insert ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__list__of__set__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17400) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17400), _u17401)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17400, hAPP(hAPP(c_Set_Oinsert(_u17400), _u17402), _u17401)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17400, _u17400, c_COMBI(_u17400)), _u17402), c_List_Olinorder__class_Osorted__list__of__set(_u17400, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17400, tc_HOL_Obool)), _u17401), hAPP(hAPP(c_Set_Oinsert(_u17400), _u17402), c_Orderings_Obot__class_Obot(tc_fun(_u17400, tc_HOL_Obool))))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lexord__Nil__left ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lexord__Nil__left-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17410), tc_List_Olist(_u17410))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17410), tc_List_Olist(_u17410)), c_List_Olist_ONil(_u17410)), _u17412)), c_List_Olexord(_u17410, _u17414))) | ( _u17412 = hAPP(hAPP(c_List_Olist_OCons(_u17410), skolem454(_u17414, _u17412, _u17410)), skolem455(_u17414, _u17412, _u17410))) )).
% 43.37/43.60 cnf(fact_lexord__Nil__left-2, axiom, ( ( _u17413 != hAPP(hAPP(c_List_Olist_OCons(_u17411), _u17406), _u17405)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17411), tc_List_Olist(_u17411))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17411), tc_List_Olist(_u17411)), c_List_Olist_ONil(_u17411)), _u17413)), c_List_Olexord(_u17411, _u17415))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__key_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__key_Osimps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u17416) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17417, _u17416, _u17418), _u17419), c_List_Olist_ONil(_u17417)) = hAPP(hAPP(c_List_Olist_OCons(_u17417), _u17419), c_List_Olist_ONil(_u17417))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__key_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__key_Osimps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u17420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17420), hAPP(_u17421, _u17422)), hAPP(_u17421, _u17423))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17424, _u17420, _u17421), _u17422), hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17423), _u17425)) = hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17422), hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17423), _u17425))) )).
% 43.37/43.60 cnf(fact_insort__key_Osimps_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u17420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17420), hAPP(_u17421, _u17422)), hAPP(_u17421, _u17423))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17424, _u17420, _u17421), _u17422), hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17423), _u17425)) = hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17423), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17424, _u17420, _u17421), _u17422), _u17425))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remove1__insort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remove1__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17426) | ( c_List_Oremove1(_u17426, _u17427, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17426, _u17426, c_COMBI(_u17426)), _u17427), _u17428)) = _u17428) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__key__left__comm ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__key__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17429) | ( hAPP(_u17430, _u17431) = hAPP(_u17430, _u17432)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17433, _u17429, _u17430), _u17432), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17433, _u17429, _u17430), _u17431), _u17434)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17433, _u17429, _u17430), _u17431), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17433, _u17429, _u17430), _u17432), _u17434))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__left__comm ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__left__comm-1, axiom, ( ~class_Orderings_Olinorder(_u17435) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17435, c_COMBI(_u17435)), _u17436), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17435, c_COMBI(_u17435)), _u17437), _u17438)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17435, c_COMBI(_u17435)), _u17437), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17435, c_COMBI(_u17435)), _u17436), _u17438))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_fun__left__comm__insort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_fun__left__comm__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17439) | c_Finite__Set_Ofun__left__comm(_u17439, tc_List_Olist(_u17439), c_List_Olinorder__class_Oinsort__key(_u17439, _u17439, c_COMBI(_u17439))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__insort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17440) | ( hAPP(c_List_Oset(_u17441), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17441, _u17440, _u17442), _u17443), _u17444)) = hAPP(hAPP(c_Set_Oinsert(_u17441), _u17443), hAPP(c_List_Oset(_u17441), _u17444))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__insort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17445) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17446)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17446, _u17445, _u17447), _u17448), _u17449)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17446)), _u17449))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__not__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__not__Nil-1, axiom, ( ~class_Orderings_Olinorder(_u17450) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17451, _u17450, _u17452), _u17453), _u17454) != c_List_Olist_ONil(_u17451)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__insort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17455) | ~hBOOL(hAPP(c_List_Odistinct(_u17456), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17456, _u17455, _u17457), _u17458), _u17459))) | ~hBOOL(hAPP(hAPP(c_member(_u17456), _u17458), hAPP(c_List_Oset(_u17456), _u17459))) )).
% 43.37/43.60 cnf(fact_distinct__insort-2, axiom, ( ~class_Orderings_Olinorder(_u17455) | ~hBOOL(hAPP(c_List_Odistinct(_u17456), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17456, _u17455, _u17457), _u17458), _u17459))) | hBOOL(hAPP(c_List_Odistinct(_u17456), _u17459)) )).
% 43.37/43.60 cnf(fact_distinct__insort-3, axiom, ( ~class_Orderings_Olinorder(_u17455) | hBOOL(hAPP(hAPP(c_member(_u17456), _u17458), hAPP(c_List_Oset(_u17456), _u17459))) | ~hBOOL(hAPP(c_List_Odistinct(_u17456), _u17459)) | hBOOL(hAPP(c_List_Odistinct(_u17456), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17456, _u17455, _u17457), _u17458), _u17459))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__insert__insort__key ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__insert__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u17460) | hBOOL(hAPP(hAPP(c_member(_u17460), hAPP(_u17461, _u17462)), hAPP(c_Set_Oimage(_u17463, _u17460, _u17461), hAPP(c_List_Oset(_u17463), _u17464)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17463, _u17460, _u17461, _u17462, _u17464) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17463, _u17460, _u17461), _u17462), _u17464)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__insert__insort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__insert__insort-1, axiom, ( ~class_Orderings_Olinorder(_u17465) | hBOOL(hAPP(hAPP(c_member(_u17465), _u17466), hAPP(c_List_Oset(_u17465), _u17467))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17465, _u17465, c_COMBI(_u17465), _u17466, _u17467) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17465, _u17465, c_COMBI(_u17465)), _u17466), _u17467)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__insort__insert ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17468) | ~hBOOL(hAPP(c_List_Odistinct(_u17469), _u17470)) | hBOOL(hAPP(c_List_Odistinct(_u17469), c_List_Olinorder__class_Oinsort__insert__key(_u17469, _u17468, _u17471, _u17472, _u17470))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__insert__triv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__insert__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17473) | ~hBOOL(hAPP(hAPP(c_member(_u17473), _u17474), hAPP(c_List_Oset(_u17473), _u17475))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17473, _u17473, c_COMBI(_u17473), _u17474, _u17475) = _u17475) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__insort__insert ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u17476) | ( hAPP(c_List_Oset(_u17476), c_List_Olinorder__class_Oinsort__insert__key(_u17476, _u17476, c_COMBI(_u17476), _u17477, _u17478)) = hAPP(hAPP(c_Set_Oinsert(_u17476), _u17477), hAPP(c_List_Oset(_u17476), _u17478))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__insert__key__triv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__insert__key__triv-1, axiom, ( ~class_Orderings_Olinorder(_u17479) | ~hBOOL(hAPP(hAPP(c_member(_u17479), hAPP(_u17480, _u17481)), hAPP(c_Set_Oimage(_u17482, _u17479, _u17480), hAPP(c_List_Oset(_u17482), _u17483)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17482, _u17479, _u17480, _u17481, _u17483) = _u17483) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__list__update ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__list__update-1, axiom, ( ( _u17484 = c_List_Olist_ONil(_u17485)) | ( _u17486 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17485)), _u17484)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17485, hAPP(hAPP(c_List_Olist__update(_u17485, _u17484), _u17486), _u17487)) = _u17487) )).
% 43.37/43.60 cnf(fact_last__list__update-2, axiom, ( ( _u17484 = c_List_Olist_ONil(_u17485)) | ( _u17486 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17485)), _u17484)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17485, hAPP(hAPP(c_List_Olist__update(_u17485, _u17484), _u17486), _u17487)) = c_List_Olast(_u17485, _u17484)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__conv__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__conv__nth-1, axiom, ( ( _u17488 = c_List_Olist_ONil(_u17489)) | ( c_List_Olast(_u17489, _u17488) = hAPP(hAPP(c_List_Onth(_u17489), _u17488), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17489)), _u17488)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__appendL ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__appendL-1, axiom, ( ( _u17490 != c_List_Olist_ONil(_u17491)) | ( c_List_Olast(_u17491, hAPP(hAPP(c_List_Oappend(_u17491), _u17492), _u17490)) = c_List_Olast(_u17491, _u17492)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__appendR ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__appendR-1, axiom, ( ( _u17493 = c_List_Olist_ONil(_u17494)) | ( c_List_Olast(_u17494, hAPP(hAPP(c_List_Oappend(_u17494), _u17495), _u17493)) = c_List_Olast(_u17494, _u17493)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__append-1, axiom, ( ( _u17499 != c_List_Olist_ONil(_u17501)) | ( c_List_Olast(_u17501, hAPP(hAPP(c_List_Oappend(_u17501), _u17503), _u17499)) = c_List_Olast(_u17501, _u17503)) )).
% 43.37/43.60 cnf(fact_last__append-2, axiom, ( ( _u17500 = c_List_Olist_ONil(_u17502)) | ( c_List_Olast(_u17502, hAPP(hAPP(c_List_Oappend(_u17502), _u17504), _u17500)) = c_List_Olast(_u17502, _u17500)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__ConsL ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__ConsL-1, axiom, ( ( _u17505 != c_List_Olist_ONil(_u17506)) | ( c_List_Olast(_u17506, hAPP(hAPP(c_List_Olist_OCons(_u17506), _u17507), _u17505)) = _u17507) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__ConsR ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__ConsR-1, axiom, ( ( _u17508 = c_List_Olist_ONil(_u17509)) | ( c_List_Olast(_u17509, hAPP(hAPP(c_List_Olist_OCons(_u17509), _u17510), _u17508)) = c_List_Olast(_u17509, _u17508)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last_Osimps ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last_Osimps-1, axiom, ( ( _u17514 != c_List_Olist_ONil(_u17516)) | ( c_List_Olast(_u17516, hAPP(hAPP(c_List_Olist_OCons(_u17516), _u17518), _u17514)) = _u17518) )).
% 43.37/43.60 cnf(fact_last_Osimps-2, axiom, ( ( _u17515 = c_List_Olist_ONil(_u17517)) | ( c_List_Olast(_u17517, hAPP(hAPP(c_List_Olist_OCons(_u17517), _u17519), _u17515)) = c_List_Olast(_u17517, _u17515)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__in__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__in__set-1, axiom, ( ( _u17520 = c_List_Olist_ONil(_u17521)) | hBOOL(hAPP(hAPP(c_member(_u17521), c_List_Olast(_u17521, _u17520)), hAPP(c_List_Oset(_u17521), _u17520))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__snoc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__snoc-1, axiom, ( ( c_List_Olast(_u17522, hAPP(hAPP(c_List_Oappend(_u17522), _u17523), hAPP(hAPP(c_List_Olist_OCons(_u17522), _u17524), c_List_Olist_ONil(_u17522)))) = _u17524) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__drop-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17525), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17526)), _u17527))) | ( c_List_Olast(_u17526, hAPP(hAPP(c_List_Odrop(_u17526), _u17525), _u17527)) = c_List_Olast(_u17526, _u17527)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__butlast__last__id ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__butlast__last__id-1, axiom, ( ( _u17528 = c_List_Olist_ONil(_u17529)) | ( hAPP(hAPP(c_List_Oappend(_u17529), c_List_Obutlast(_u17529, _u17528)), hAPP(hAPP(c_List_Olist_OCons(_u17529), c_List_Olast(_u17529, _u17528)), c_List_Olist_ONil(_u17529))) = _u17528) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_snoc__eq__iff__butlast ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_snoc__eq__iff__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17534), _u17536), hAPP(hAPP(c_List_Olist_OCons(_u17534), _u17538), c_List_Olist_ONil(_u17534))) != _u17540) | ( _u17540 != c_List_Olist_ONil(_u17534)) )).
% 43.37/43.60 cnf(fact_snoc__eq__iff__butlast-2, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17534), _u17536), hAPP(hAPP(c_List_Olist_OCons(_u17534), _u17538), c_List_Olist_ONil(_u17534))) != _u17540) | ( c_List_Obutlast(_u17534, _u17540) = _u17536) )).
% 43.37/43.60 cnf(fact_snoc__eq__iff__butlast-3, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u17534), _u17536), hAPP(hAPP(c_List_Olist_OCons(_u17534), _u17538), c_List_Olist_ONil(_u17534))) != _u17540) | ( c_List_Olast(_u17534, _u17540) = _u17538) )).
% 43.37/43.60 cnf(fact_snoc__eq__iff__butlast-4, axiom, ( ( _u17541 = c_List_Olist_ONil(_u17535)) | ( c_List_Obutlast(_u17535, _u17541) != _u17537) | ( c_List_Olast(_u17535, _u17541) != _u17539) | ( hAPP(hAPP(c_List_Oappend(_u17535), _u17537), hAPP(hAPP(c_List_Olist_OCons(_u17535), _u17539), c_List_Olist_ONil(_u17535))) = _u17541) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists_Osimps ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17549)), _u17551), c_List_Olists(_u17549, _u17553))) | ( _u17551 = c_List_Olist_ONil(_u17549)) | hBOOL(hAPP(hAPP(c_member(_u17549), skolem456(_u17553, _u17551, _u17549)), _u17553)) )).
% 43.37/43.60 cnf(fact_lists_Osimps-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17549)), _u17551), c_List_Olists(_u17549, _u17553))) | ( _u17551 = c_List_Olist_ONil(_u17549)) | ( _u17551 = hAPP(hAPP(c_List_Olist_OCons(_u17549), skolem456(_u17553, _u17551, _u17549)), skolem457(_u17553, _u17551, _u17549))) )).
% 43.37/43.60 cnf(fact_lists_Osimps-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17549)), _u17551), c_List_Olists(_u17549, _u17553))) | ( _u17551 = c_List_Olist_ONil(_u17549)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17549)), skolem457(_u17553, _u17551, _u17549)), c_List_Olists(_u17549, _u17553))) )).
% 43.37/43.60 cnf(fact_lists_Osimps-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17550)), _u17552), c_List_Olists(_u17550, _u17554))) | ( _u17552 != c_List_Olist_ONil(_u17550)) )).
% 43.37/43.60 cnf(fact_lists_Osimps-5, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17550)), _u17552), c_List_Olists(_u17550, _u17554))) | ~hBOOL(hAPP(hAPP(c_member(_u17550), _u17545), _u17554)) | ( _u17552 != hAPP(hAPP(c_List_Olist_OCons(_u17550), _u17545), _u17544)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17550)), _u17544), c_List_Olists(_u17550, _u17554))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_select__weigth__select ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_select__weigth__select-1, axiom, ( ( _u17555 = c_List_Olist_ONil(_u17556)) | ( c_Random_Oselect__weight(_u17556, hAPP(hAPP(c_List_Omap(_u17556, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17556)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17556), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17555)) = c_Random_Oselect(_u17556, _u17555)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_inj__mapI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_inj__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17557, _u17558, _u17559, c_Orderings_Otop__class_Otop(tc_fun(_u17557, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17557), tc_List_Olist(_u17558), hAPP(c_List_Omap(_u17557, _u17558), _u17559), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17557), tc_HOL_Obool))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__map-1, axiom, ( ( _u17560 = c_List_Olist_ONil(_u17561)) | ( c_List_Olast(_u17562, hAPP(hAPP(c_List_Omap(_u17561, _u17562), _u17563), _u17560)) = hAPP(_u17563, c_List_Olast(_u17561, _u17560))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__map-1, axiom, ( ( hAPP(c_List_Ofoldl(_u17564, _u17565, _u17566, _u17567), hAPP(hAPP(c_List_Omap(_u17568, _u17565), _u17569), _u17570)) = hAPP(c_List_Ofoldl(_u17564, _u17568, hAPP(hAPP(c_COMBC(_u17564, tc_fun(_u17568, _u17565), tc_fun(_u17568, _u17564)), hAPP(hAPP(c_COMBB(tc_fun(_u17565, _u17564), tc_fun(tc_fun(_u17568, _u17565), tc_fun(_u17568, _u17564)), _u17564), c_COMBB(_u17565, _u17564, _u17568)), _u17566)), _u17569), _u17567), _u17570)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__map-1, axiom, ( ( hAPP(c_List_Orotate(_u17571, _u17572), hAPP(hAPP(c_List_Omap(_u17573, _u17571), _u17574), _u17575)) = hAPP(hAPP(c_List_Omap(_u17573, _u17571), _u17574), hAPP(c_List_Orotate(_u17573, _u17572), _u17575))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__tl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__tl-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17576, _u17577), _u17578), hAPP(c_List_Otl(_u17576), _u17579)) = hAPP(c_List_Otl(_u17577), hAPP(hAPP(c_List_Omap(_u17576, _u17577), _u17578), _u17579))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__is__Nil__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__is__Nil__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17584, _u17586), _u17588), _u17590) != c_List_Olist_ONil(_u17586)) | ( _u17590 = c_List_Olist_ONil(_u17584)) )).
% 43.37/43.60 cnf(fact_map__is__Nil__conv-2, axiom, ( ( _u17591 != c_List_Olist_ONil(_u17585)) | ( hAPP(hAPP(c_List_Omap(_u17585, _u17587), _u17589), _u17591) = c_List_Olist_ONil(_u17587)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map_Osimps_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17592, _u17593), _u17594), c_List_Olist_ONil(_u17592)) = c_List_Olist_ONil(_u17593)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Nil__is__map__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Nil__is__map__conv-1, axiom, ( ( _u17605 = c_List_Olist_ONil(_u17601)) | ( c_List_Olist_ONil(_u17599) != hAPP(hAPP(c_List_Omap(_u17601, _u17599), _u17603), _u17605)) )).
% 43.37/43.60 cnf(fact_Nil__is__map__conv-2, axiom, ( ( _u17606 != c_List_Olist_ONil(_u17602)) | ( c_List_Olist_ONil(_u17600) = hAPP(hAPP(c_List_Omap(_u17602, _u17600), _u17604), _u17606)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__update ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__update-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17607, _u17608), _u17609), hAPP(hAPP(c_List_Olist__update(_u17607, _u17610), _u17611), _u17612)) = hAPP(hAPP(c_List_Olist__update(_u17608, hAPP(hAPP(c_List_Omap(_u17607, _u17608), _u17609), _u17610)), _u17611), hAPP(_u17609, _u17612))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__subtractf ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__subtractf-1, axiom, ( ~class_Groups_Oab__group__add(_u17613) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17613), hAPP(hAPP(c_List_Omap(_u17614, _u17613), hAPP(hAPP(c_COMBS(_u17614, _u17613, _u17613), hAPP(hAPP(c_COMBB(_u17613, tc_fun(_u17613, _u17613), _u17614), c_Groups_Ominus__class_Ominus(_u17613)), _u17615)), _u17616)), _u17617)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u17613), hAPP(c_List_Omonoid__add__class_Olistsum(_u17613), hAPP(hAPP(c_List_Omap(_u17614, _u17613), _u17615), _u17617))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17613), hAPP(hAPP(c_List_Omap(_u17614, _u17613), _u17616), _u17617)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__mult__const ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__mult__const-1, axiom, ( ~class_Rings_Osemiring__0(_u17618) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17618), hAPP(hAPP(c_List_Omap(_u17619, _u17618), hAPP(hAPP(c_COMBC(_u17619, _u17618, _u17618), hAPP(hAPP(c_COMBB(_u17618, tc_fun(_u17618, _u17618), _u17619), c_Groups_Otimes__class_Otimes(_u17618)), _u17620)), _u17621)), _u17622)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17618), hAPP(c_List_Omonoid__add__class_Olistsum(_u17618), hAPP(hAPP(c_List_Omap(_u17619, _u17618), _u17620), _u17622))), _u17621)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__const__mult ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__const__mult-1, axiom, ( ~class_Rings_Osemiring__0(_u17623) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17623), hAPP(hAPP(c_List_Omap(_u17624, _u17623), hAPP(hAPP(c_COMBB(_u17623, _u17623, _u17624), hAPP(c_Groups_Otimes__class_Otimes(_u17623), _u17625)), _u17626)), _u17627)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17623), _u17625), hAPP(c_List_Omonoid__add__class_Olistsum(_u17623), hAPP(hAPP(c_List_Omap(_u17624, _u17623), _u17626), _u17627)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__0 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__0-1, axiom, ( ~class_Groups_Omonoid__add(_u17628) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17628), hAPP(hAPP(c_List_Omap(_u17629, _u17628), hAPP(c_COMBK(_u17628, _u17629), c_Groups_Ozero__class_Ozero(_u17628))), _u17630)) = c_Groups_Ozero__class_Ozero(_u17628)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__addf ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__addf-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17631) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17631), hAPP(hAPP(c_List_Omap(_u17632, _u17631), hAPP(hAPP(c_COMBS(_u17632, _u17631, _u17631), hAPP(hAPP(c_COMBB(_u17631, tc_fun(_u17631, _u17631), _u17632), c_Groups_Oplus__class_Oplus(_u17631)), _u17633)), _u17634)), _u17635)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17631), hAPP(c_List_Omonoid__add__class_Olistsum(_u17631), hAPP(hAPP(c_List_Omap(_u17632, _u17631), _u17633), _u17635))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17631), hAPP(hAPP(c_List_Omap(_u17632, _u17631), _u17634), _u17635)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__butlast ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__butlast-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17636, _u17637), _u17638), c_List_Obutlast(_u17636, _u17639)) = c_List_Obutlast(_u17637, hAPP(hAPP(c_List_Omap(_u17636, _u17637), _u17638), _u17639))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__eq__imp__length__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__eq__imp__length__eq-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17640, _u17641), _u17642), _u17643) != hAPP(hAPP(c_List_Omap(_u17644, _u17641), _u17645), _u17646)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17640)), _u17643) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17644)), _u17646)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17647)), hAPP(hAPP(c_List_Omap(_u17648, _u17647), _u17649), _u17650)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17648)), _u17650)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__eq__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__eq__conv-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17658, _u17660), _u17662), _u17664) != hAPP(hAPP(c_List_Omap(_u17658, _u17660), _u17666), _u17664)) | ~hBOOL(hAPP(hAPP(c_member(_u17658), _u17651), hAPP(c_List_Oset(_u17658), _u17664))) | ( hAPP(_u17662, _u17651) = hAPP(_u17666, _u17651)) )).
% 43.37/43.60 cnf(fact_map__eq__conv-2, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17663), _u17665) = hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17667), _u17665)) | hBOOL(hAPP(hAPP(c_member(_u17659), skolem458(_u17667, _u17665, _u17663, _u17661, _u17659)), hAPP(c_List_Oset(_u17659), _u17665))) )).
% 43.37/43.60 cnf(fact_map__eq__conv-3, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17663), _u17665) = hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17667), _u17665)) | ( hAPP(_u17663, skolem458(_u17667, _u17665, _u17663, _u17661, _u17659)) != hAPP(_u17667, skolem458(_u17667, _u17665, _u17663, _u17661, _u17659))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_take__map-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u17668), _u17669), hAPP(hAPP(c_List_Omap(_u17670, _u17668), _u17671), _u17672)) = hAPP(hAPP(c_List_Omap(_u17670, _u17668), _u17671), hAPP(hAPP(c_List_Otake(_u17670), _u17669), _u17672))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__injective ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__injective-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17673, _u17674), _u17675), _u17676) != hAPP(hAPP(c_List_Omap(_u17673, _u17674), _u17675), _u17677)) | ~c_Fun_Oinj__on(_u17673, _u17674, _u17675, c_Orderings_Otop__class_Otop(tc_fun(_u17673, tc_HOL_Obool))) | ( _u17676 = _u17677) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_inj__map__eq__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_inj__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17678, _u17679, _u17680, c_Orderings_Otop__class_Otop(tc_fun(_u17678, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17678, _u17679), _u17680), _u17681) != hAPP(hAPP(c_List_Omap(_u17678, _u17679), _u17680), _u17682)) | ( _u17681 = _u17682) )).
% 43.37/43.60 cnf(fact_inj__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17678, _u17679, _u17680, c_Orderings_Otop__class_Otop(tc_fun(_u17678, tc_HOL_Obool))) | ( _u17681 != _u17682) | ( hAPP(hAPP(c_List_Omap(_u17678, _u17679), _u17680), _u17681) = hAPP(hAPP(c_List_Omap(_u17678, _u17679), _u17680), _u17682)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__ident ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__ident-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17683, _u17683), c_COMBI(_u17683)), _u17684) = _u17684) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__map-1, axiom, ( ( hAPP(c_List_Oset(_u17685), hAPP(hAPP(c_List_Omap(_u17686, _u17685), _u17687), _u17688)) = hAPP(c_Set_Oimage(_u17686, _u17685, _u17687), hAPP(c_List_Oset(_u17686), _u17688))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map_Osimps_I2_J-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17689, _u17690), _u17691), hAPP(hAPP(c_List_Olist_OCons(_u17689), _u17692), _u17693)) = hAPP(hAPP(c_List_Olist_OCons(_u17690), hAPP(_u17691, _u17692)), hAPP(hAPP(c_List_Omap(_u17689, _u17690), _u17691), _u17693))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__same__conv__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__same__conv__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17694, _u17694), _u17695), _u17695) = hAPP(hAPP(c_List_Omap(_u17694, tc_prod(_u17694, _u17694)), hAPP(hAPP(c_COMBS(_u17694, _u17694, tc_prod(_u17694, _u17694)), c_Product__Type_OPair(_u17694, _u17694)), c_COMBI(_u17694))), _u17695)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__map__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__map__map-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17696, _u17697), hAPP(hAPP(c_List_Omap(_u17698, _u17696), _u17699), _u17700)), hAPP(hAPP(c_List_Omap(_u17701, _u17697), _u17702), _u17703)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17698, _u17701), tc_prod(_u17696, _u17697)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17698, _u17701, tc_prod(_u17696, _u17697)), hAPP(hAPP(c_COMBC(_u17698, tc_fun(_u17701, _u17697), tc_fun(_u17701, tc_prod(_u17696, _u17697))), hAPP(hAPP(c_COMBB(tc_fun(_u17697, tc_prod(_u17696, _u17697)), tc_fun(tc_fun(_u17701, _u17697), tc_fun(_u17701, tc_prod(_u17696, _u17697))), _u17698), c_COMBB(_u17697, tc_prod(_u17696, _u17697), _u17701)), hAPP(hAPP(c_COMBB(_u17696, tc_fun(_u17697, tc_prod(_u17696, _u17697)), _u17698), c_Product__Type_OPair(_u17696, _u17697)), _u17699))), _u17702))), hAPP(hAPP(c_List_Ozip(_u17698, _u17701), _u17700), _u17703))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__map1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__map1-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17704, _u17705), hAPP(hAPP(c_List_Omap(_u17706, _u17704), _u17707), _u17708)), _u17709) = hAPP(hAPP(c_List_Omap(tc_prod(_u17706, _u17705), tc_prod(_u17704, _u17705)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17706, _u17705, tc_prod(_u17704, _u17705)), hAPP(hAPP(c_COMBB(_u17704, tc_fun(_u17705, tc_prod(_u17704, _u17705)), _u17706), c_Product__Type_OPair(_u17704, _u17705)), _u17707))), hAPP(hAPP(c_List_Ozip(_u17706, _u17705), _u17708), _u17709))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__zip__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__zip__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17710, _u17711), _u17712), _u17713), hAPP(hAPP(c_List_Ozip(_u17710, _u17711), hAPP(hAPP(c_List_Omap(_u17714, _u17710), _u17715), _u17716)), _u17717)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17714, _u17711), _u17712), hAPP(c_Product__Type_Oprod_Oprod__case(_u17714, _u17711, _u17712), hAPP(hAPP(c_COMBB(tc_fun(_u17711, tc_prod(_u17710, _u17711)), tc_fun(_u17711, _u17712), _u17714), hAPP(c_COMBB(tc_prod(_u17710, _u17711), _u17712, _u17711), _u17713)), hAPP(hAPP(c_COMBB(_u17710, tc_fun(_u17711, tc_prod(_u17710, _u17711)), _u17714), c_Product__Type_OPair(_u17710, _u17711)), _u17715)))), hAPP(hAPP(c_List_Ozip(_u17714, _u17711), _u17716), _u17717))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__zip__map2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17718, _u17719), _u17720), _u17721), hAPP(hAPP(c_List_Ozip(_u17718, _u17719), _u17722), hAPP(hAPP(c_List_Omap(_u17723, _u17719), _u17724), _u17725))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17718, _u17723), _u17720), hAPP(c_Product__Type_Oprod_Oprod__case(_u17718, _u17723, _u17720), hAPP(hAPP(c_COMBB(tc_fun(_u17723, tc_prod(_u17718, _u17719)), tc_fun(_u17723, _u17720), _u17718), hAPP(c_COMBB(tc_prod(_u17718, _u17719), _u17720, _u17723), _u17721)), hAPP(hAPP(c_COMBC(_u17718, tc_fun(_u17723, _u17719), tc_fun(_u17723, tc_prod(_u17718, _u17719))), hAPP(hAPP(c_COMBB(tc_fun(_u17719, tc_prod(_u17718, _u17719)), tc_fun(tc_fun(_u17723, _u17719), tc_fun(_u17723, tc_prod(_u17718, _u17719))), _u17718), c_COMBB(_u17719, tc_prod(_u17718, _u17719), _u17723)), c_Product__Type_OPair(_u17718, _u17719))), _u17724)))), hAPP(hAPP(c_List_Ozip(_u17718, _u17723), _u17722), _u17725))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__map2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__map2-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17726, _u17727), _u17728), hAPP(hAPP(c_List_Omap(_u17729, _u17727), _u17730), _u17731)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17726, _u17729), tc_prod(_u17726, _u17727)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17726, _u17729, tc_prod(_u17726, _u17727)), hAPP(hAPP(c_COMBC(_u17726, tc_fun(_u17729, _u17727), tc_fun(_u17729, tc_prod(_u17726, _u17727))), hAPP(hAPP(c_COMBB(tc_fun(_u17727, tc_prod(_u17726, _u17727)), tc_fun(tc_fun(_u17729, _u17727), tc_fun(_u17729, tc_prod(_u17726, _u17727))), _u17726), c_COMBB(_u17727, tc_prod(_u17726, _u17727), _u17729)), c_Product__Type_OPair(_u17726, _u17727))), _u17730))), hAPP(hAPP(c_List_Ozip(_u17726, _u17729), _u17728), _u17731))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__append-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17732, _u17733), _u17734), hAPP(hAPP(c_List_Oappend(_u17732), _u17735), _u17736)) = hAPP(hAPP(c_List_Oappend(_u17733), hAPP(hAPP(c_List_Omap(_u17732, _u17733), _u17734), _u17735)), hAPP(hAPP(c_List_Omap(_u17732, _u17733), _u17734), _u17736))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__map-1, axiom, ( ( _u17737 = c_List_Olist_ONil(_u17738)) | ( hAPP(c_List_Ohd(_u17739), hAPP(hAPP(c_List_Omap(_u17738, _u17739), _u17740), _u17737)) = hAPP(_u17740, hAPP(c_List_Ohd(_u17738), _u17737))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__map-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u17741), _u17742), hAPP(hAPP(c_List_Omap(_u17743, _u17741), _u17744), _u17745)) = hAPP(hAPP(c_List_Omap(_u17743, _u17741), _u17744), hAPP(hAPP(c_List_Odrop(_u17743), _u17742), _u17745))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__fun__upd ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__fun__upd-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u17746), _u17747), hAPP(c_List_Oset(_u17746), _u17748))) | ( hAPP(hAPP(c_List_Omap(_u17746, _u17749), c_Fun_Ofun__upd(_u17746, _u17749, _u17750, _u17747, _u17751)), _u17748) = hAPP(hAPP(c_List_Omap(_u17746, _u17749), _u17750), _u17748)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__map-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17752), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17753)), _u17754))) | ( hAPP(hAPP(c_List_Onth(_u17755), hAPP(hAPP(c_List_Omap(_u17753, _u17755), _u17756), _u17754)), _u17752) = hAPP(_u17756, hAPP(hAPP(c_List_Onth(_u17753), _u17754), _u17752))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__inj__on ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__inj__on-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17757, _u17758), _u17759), _u17760) != hAPP(hAPP(c_List_Omap(_u17757, _u17758), _u17759), _u17761)) | ~c_Fun_Oinj__on(_u17757, _u17758, _u17759, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17757, tc_HOL_Obool)), hAPP(c_List_Oset(_u17757), _u17760)), hAPP(c_List_Oset(_u17757), _u17761))) | ( _u17760 = _u17761) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_inj__on__map__eq__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_inj__on__map__eq__map-1, axiom, ( ~c_Fun_Oinj__on(_u17762, _u17763, _u17764, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17762, tc_HOL_Obool)), hAPP(c_List_Oset(_u17762), _u17765)), hAPP(c_List_Oset(_u17762), _u17766))) | ( hAPP(hAPP(c_List_Omap(_u17762, _u17763), _u17764), _u17765) != hAPP(hAPP(c_List_Omap(_u17762, _u17763), _u17764), _u17766)) | ( _u17765 = _u17766) )).
% 43.37/43.60 cnf(fact_inj__on__map__eq__map-2, axiom, ( ~c_Fun_Oinj__on(_u17762, _u17763, _u17764, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17762, tc_HOL_Obool)), hAPP(c_List_Oset(_u17762), _u17765)), hAPP(c_List_Oset(_u17762), _u17766))) | ( _u17765 != _u17766) | ( hAPP(hAPP(c_List_Omap(_u17762, _u17763), _u17764), _u17765) = hAPP(hAPP(c_List_Omap(_u17762, _u17763), _u17764), _u17766)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__size__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__size__map-1, axiom, ( ( c_List_Olist_Olist__size(_u17767, _u17768, hAPP(hAPP(c_List_Omap(_u17769, _u17767), _u17770), _u17771)) = c_List_Olist_Olist__size(_u17769, hAPP(c_Fun_Ocomp(_u17767, tc_Nat_Onat, _u17769, _u17768), _u17770), _u17771)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_List_Omap_Ocomp ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_List_Omap_Ocomp-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17772), tc_List_Olist(_u17773), tc_List_Olist(_u17774), hAPP(c_List_Omap(_u17772, _u17773), _u17775)), hAPP(c_List_Omap(_u17774, _u17772), _u17776)) = hAPP(c_List_Omap(_u17774, _u17773), hAPP(c_Fun_Ocomp(_u17772, _u17773, _u17774, _u17775), _u17776))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__comp__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__comp__map-1, axiom, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17777), tc_List_Olist(_u17778), tc_List_Olist(_u17779), hAPP(c_List_Omap(_u17777, _u17778), _u17780)), hAPP(c_List_Omap(_u17779, _u17777), _u17781)) = hAPP(c_List_Omap(_u17779, _u17778), hAPP(c_Fun_Ocomp(_u17777, _u17778, _u17779, _u17780), _u17781))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_List_Omap_Ocompositionality ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_List_Omap_Ocompositionality-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17782, _u17783), _u17784), hAPP(hAPP(c_List_Omap(_u17785, _u17782), _u17786), _u17787)) = hAPP(hAPP(c_List_Omap(_u17785, _u17783), hAPP(c_Fun_Ocomp(_u17782, _u17783, _u17785, _u17784), _u17786)), _u17787)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__map-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u17788, _u17789), _u17790), hAPP(hAPP(c_List_Omap(_u17791, _u17788), _u17792), _u17793)) = hAPP(hAPP(c_List_Omap(_u17791, _u17789), hAPP(c_Fun_Ocomp(_u17788, _u17789, _u17791, _u17790), _u17792)), _u17793)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_List_Omap_Oid ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_List_Omap_Oid-1, axiom, ( ( hAPP(c_List_Omap(_u17794, _u17794), c_Fun_Oid(_u17794)) = c_Fun_Oid(tc_List_Olist(_u17794))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_List_Omap_Oidentity ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_List_Omap_Oidentity-1, axiom, ( ( hAPP(c_List_Omap(_u17795, _u17795), c_COMBI(_u17795)) = c_Fun_Oid(tc_List_Olist(_u17795))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__map-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17800), hAPP(hAPP(c_List_Omap(_u17802, _u17800), _u17804), _u17806))) | hBOOL(hAPP(c_List_Odistinct(_u17802), _u17806)) )).
% 43.37/43.60 cnf(fact_distinct__map-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17800), hAPP(hAPP(c_List_Omap(_u17802, _u17800), _u17804), _u17806))) | c_Fun_Oinj__on(_u17802, _u17800, _u17804, hAPP(c_List_Oset(_u17802), _u17806)) )).
% 43.37/43.60 cnf(fact_distinct__map-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17803), _u17807)) | ~c_Fun_Oinj__on(_u17803, _u17801, _u17805, hAPP(c_List_Oset(_u17803), _u17807)) | hBOOL(hAPP(c_List_Odistinct(_u17801), hAPP(hAPP(c_List_Omap(_u17803, _u17801), _u17805), _u17807))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__abs ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__abs-1, axiom, ( ~class_Groups_Oordered__ab__group__add__abs(_u17808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17808), hAPP(c_Groups_Oabs__class_Oabs(_u17808), hAPP(c_List_Omonoid__add__class_Olistsum(_u17808), _u17809))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17808), hAPP(hAPP(c_List_Omap(_u17808, _u17808), c_Groups_Oabs__class_Oabs(_u17808)), _u17809)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_uminus__listsum__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_uminus__listsum__map-1, axiom, ( ~class_Groups_Oab__group__add(_u17810) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17810), hAPP(c_List_Omonoid__add__class_Olistsum(_u17810), hAPP(hAPP(c_List_Omap(_u17811, _u17810), _u17812), _u17813))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17810), hAPP(hAPP(c_List_Omap(_u17811, _u17810), hAPP(c_Fun_Ocomp(_u17810, _u17810, _u17811, c_Groups_Ouminus__class_Ouminus(_u17810)), _u17812)), _u17813))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_inj__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_inj__map-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17817), tc_List_Olist(_u17819), hAPP(c_List_Omap(_u17817, _u17819), _u17821), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17817), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17817, _u17819, _u17821, c_Orderings_Otop__class_Otop(tc_fun(_u17817, tc_HOL_Obool))) )).
% 43.37/43.60 cnf(fact_inj__map-2, axiom, ( ~c_Fun_Oinj__on(_u17818, _u17820, _u17822, c_Orderings_Otop__class_Otop(tc_fun(_u17818, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17818), tc_List_Olist(_u17820), hAPP(c_List_Omap(_u17818, _u17820), _u17822), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_inj__mapD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_inj__mapD-1, axiom, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17823), tc_List_Olist(_u17824), hAPP(c_List_Omap(_u17823, _u17824), _u17825), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17823), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17823, _u17824, _u17825, c_Orderings_Otop__class_Otop(tc_fun(_u17823, tc_HOL_Obool))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__distinct__conv__setsum__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__distinct__conv__setsum__set-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17826) | ~hBOOL(hAPP(c_List_Odistinct(_u17827), _u17828)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17826), hAPP(hAPP(c_List_Omap(_u17827, _u17826), _u17829), _u17828)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17827, _u17826), _u17829), hAPP(c_List_Oset(_u17827), _u17828))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__triv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__triv-1, axiom, ( ~class_Rings_Osemiring__1(_u17830) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17830), hAPP(hAPP(c_List_Omap(_u17831, _u17830), hAPP(c_COMBK(_u17830, _u17831), _u17832)), _u17833)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17830), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833))), _u17832)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_product_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_product_Osimps_I2_J-1, axiom, ( ( c_Enum_Oproduct(_u17834, _u17835, hAPP(hAPP(c_List_Olist_OCons(_u17834), _u17836), _u17837), _u17838) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17834, _u17835)), hAPP(hAPP(c_List_Omap(_u17835, tc_prod(_u17834, _u17835)), hAPP(c_Product__Type_OPair(_u17834, _u17835), _u17836)), _u17838)), c_Enum_Oproduct(_u17834, _u17835, _u17837, _u17838))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__map__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__map__remove1-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17839) | ~hBOOL(hAPP(hAPP(c_member(_u17840), _u17841), hAPP(c_List_Oset(_u17840), _u17842))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17839), hAPP(hAPP(c_List_Omap(_u17840, _u17839), _u17843), _u17842)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17839), hAPP(_u17843, _u17841)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17839), hAPP(hAPP(c_List_Omap(_u17840, _u17839), _u17843), c_List_Oremove1(_u17840, _u17841, _u17842))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_inj__on__mapI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_inj__on__mapI-1, axiom, ( ~c_Fun_Oinj__on(_u17844, _u17845, _u17846, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17844, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17844), tc_fun(_u17844, tc_HOL_Obool), c_List_Oset(_u17844)), _u17847))) | c_Fun_Oinj__on(tc_List_Olist(_u17844), tc_List_Olist(_u17845), hAPP(c_List_Omap(_u17844, _u17845), _u17846), _u17847) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Nitpick_Osetsum_H__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Nitpick_Osetsum_H__def-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17849), _u17850)) | ( c_Nitpick_Osetsum_H(_u17849, _u17848, _u17851, _u17850) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17848), hAPP(hAPP(c_List_Omap(_u17849, _u17848), _u17851), c_Hilbert__Choice_OEps(tc_List_Olist(_u17849), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17849), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17849)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17849), tc_fun(_u17849, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17849, tc_HOL_Obool), tc_fun(tc_fun(_u17849, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17849)), c_fequal), c_List_Oset(_u17849))), _u17850))), c_List_Odistinct(_u17849)))))) )).
% 43.37/43.60 cnf(fact_Nitpick_Osetsum_H__def-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17848) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17849), _u17850)) | ( c_Nitpick_Osetsum_H(_u17849, _u17848, _u17851, _u17850) = c_Groups_Ozero__class_Ozero(_u17848)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_pick__same ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_pick__same-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17852), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17853)), _u17854))) | ( hAPP(c_Random_Opick(_u17853, hAPP(hAPP(c_List_Omap(_u17853, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17853)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17853), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17854)), hAPP(c_Code__Numeral_Oof__nat, _u17852)) = hAPP(hAPP(c_List_Onth(_u17853), _u17854), _u17852)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublists_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublists_Osimps_I2_J-1, axiom, ( ( c_Enum_Osublists(_u17855, hAPP(hAPP(c_List_Olist_OCons(_u17855), _u17856), _u17857)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17855)), tc_List_Olist(tc_List_Olist(_u17855))), c_Enum_Osublists(_u17855, _u17857)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17855)), tc_List_Olist(tc_List_Olist(_u17855)), tc_List_Olist(tc_List_Olist(_u17855))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17855)), tc_fun(tc_List_Olist(tc_List_Olist(_u17855)), tc_List_Olist(tc_List_Olist(_u17855))), tc_List_Olist(tc_List_Olist(_u17855))), c_List_Oappend(tc_List_Olist(_u17855))), hAPP(c_List_Omap(tc_List_Olist(_u17855), tc_List_Olist(_u17855)), hAPP(c_List_Olist_OCons(_u17855), _u17856)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17855)))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_less__code__numeral__code ( axiom ) converted to clauses:
% 43.37/43.60 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, _u17860)), hAPP(c_Code__Numeral_Oof__nat, _u17862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17860), _u17862)) )).
% 43.37/43.60 cnf(fact_less__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17861), _u17863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17861)), hAPP(c_Code__Numeral_Oof__nat, _u17863))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_one__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 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))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Code__Numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Code__Numeral_Oof__nat__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17866) != hAPP(c_Code__Numeral_Oof__nat, _u17868)) | ( _u17866 = _u17868) )).
% 43.37/43.60 cnf(fact_Code__Numeral_Oof__nat__inject-2, axiom, ( ( _u17867 != _u17869) | ( hAPP(c_Code__Numeral_Oof__nat, _u17867) = hAPP(c_Code__Numeral_Oof__nat, _u17869)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_times__code__numeral__code ( axiom ) converted to clauses:
% 43.37/43.60 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, _u17870)), hAPP(c_Code__Numeral_Oof__nat, _u17871)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17870), _u17871))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Code__Numeral_Oof__nat__code ( axiom ) converted to clauses:
% 43.37/43.60 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)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zero__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 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))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_code__numeral_Oof__nat__inject ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_code__numeral_Oof__nat__inject-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17872), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17873), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17872) != hAPP(c_Code__Numeral_Oof__nat, _u17873)) | ( _u17872 = _u17873) )).
% 43.37/43.60 cnf(fact_code__numeral_Oof__nat__inject-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17872), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17873), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17872 != _u17873) | ( hAPP(c_Code__Numeral_Oof__nat, _u17872) = hAPP(c_Code__Numeral_Oof__nat, _u17873)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__fst__zip ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__fst__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17874)), _u17875) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17876)), _u17877)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17874, _u17876), _u17874), c_Product__Type_Ofst(_u17874, _u17876)), hAPP(hAPP(c_List_Ozip(_u17874, _u17876), _u17875), _u17877)) = _u17875) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__snd__zip ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__snd__zip-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17878)), _u17879) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17880)), _u17881)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17878, _u17880), _u17880), c_Product__Type_Osnd(_u17878, _u17880)), hAPP(hAPP(c_List_Ozip(_u17878, _u17880), _u17879), _u17881)) = _u17881) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_number__of__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 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)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__map__fst__snd ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__map__fst__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u17882, _u17883), hAPP(hAPP(c_List_Omap(tc_prod(_u17882, _u17883), _u17882), c_Product__Type_Ofst(_u17882, _u17883)), _u17884)), hAPP(hAPP(c_List_Omap(tc_prod(_u17882, _u17883), _u17883), c_Product__Type_Osnd(_u17882, _u17883)), _u17884)) = _u17884) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_plus__code__numeral__code ( axiom ) converted to clauses:
% 43.37/43.60 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, _u17885)), hAPP(c_Code__Numeral_Oof__nat, _u17886)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17885), _u17886))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_less__eq__code__numeral__code ( axiom ) converted to clauses:
% 43.37/43.60 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, _u17889)), hAPP(c_Code__Numeral_Oof__nat, _u17891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17889), _u17891)) )).
% 43.37/43.60 cnf(fact_less__eq__code__numeral__code-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17890), _u17892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17890)), hAPP(c_Code__Numeral_Oof__nat, _u17892))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__set__sublists ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__set__sublists-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u17893), _u17894)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17893, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17893), tc_fun(_u17893, tc_HOL_Obool)), c_List_Oset(_u17893)), c_Enum_Osublists(_u17893, _u17894)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_pick__member ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_pick__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17895), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17896), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17896)), _u17897)))) | hBOOL(hAPP(hAPP(c_member(_u17896), hAPP(c_Random_Opick(_u17896, _u17897), _u17895)), hAPP(c_List_Oset(_u17896), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17896), _u17896), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17896)), _u17897)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__eq__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__eq__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17898)), _u17899) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17900)), _u17901)) | ( hAPP(hAPP(c_List_Ozip(_u17898, _u17900), _u17899), _u17901) != _u17902) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17898, _u17900), _u17898), c_Product__Type_Ofst(_u17898, _u17900)), _u17902) = _u17899) )).
% 43.37/43.60 cnf(fact_zip__eq__conv-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17898)), _u17899) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17900)), _u17901)) | ( hAPP(hAPP(c_List_Ozip(_u17898, _u17900), _u17899), _u17901) != _u17902) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17898, _u17900), _u17900), c_Product__Type_Osnd(_u17898, _u17900)), _u17902) = _u17901) )).
% 43.37/43.60 cnf(fact_zip__eq__conv-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17898)), _u17899) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17900)), _u17901)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17898, _u17900), _u17898), c_Product__Type_Ofst(_u17898, _u17900)), _u17902) != _u17899) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17898, _u17900), _u17900), c_Product__Type_Osnd(_u17898, _u17900)), _u17902) != _u17901) | ( hAPP(hAPP(c_List_Ozip(_u17898, _u17900), _u17899), _u17901) = _u17902) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__size__conv__listsum ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__size__conv__listsum-1, axiom, ( ( c_List_Olist_Olist__size(_u17903, _u17904, _u17905) = 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(_u17903, tc_Nat_Onat), _u17904), _u17905))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17903)), _u17905))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_code__numeral__not__eq__zero ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_code__numeral__not__eq__zero-1, axiom, ( ( _u17907 = 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)), _u17907)) )).
% 43.37/43.60 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)), _u17908)) | ( _u17908 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_setsum__set__upto__conv__listsum__int ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_setsum__set__upto__conv__listsum__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17909) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17909), _u17910), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17911, _u17912))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17909), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17909), _u17910), c_List_Oupto(_u17911, _u17912)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_interv__listsum__conv__setsum__set__int ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_interv__listsum__conv__setsum__set__int-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u17913) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17913), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17913), _u17914), c_List_Oupto(_u17915, _u17916))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17913), _u17914), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17915, _u17916)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_select__weight__member ( axiom ) converted to clauses:
% 43.37/43.60 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, _u17917), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17917)), _u17918)))) | hBOOL(hAPP(hAPP(c_member(_u17917), hAPP(c_Product__Type_Ofst(_u17917, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17917, _u17918), _u17919))), hAPP(c_List_Oset(_u17917), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17917), _u17917), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17917)), _u17918)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_select__weight__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_select__weight__def-1, axiom, ( ( c_Random_Oselect__weight(_u17920, _u17921) = 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(_u17920, 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, _u17920), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17920)), _u17921)))), hAPP(hAPP(c_COMBB(_u17920, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17920, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17920, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17920, _u17921)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_select__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_select__def-1, axiom, ( ( c_Random_Oselect(_u17922, _u17923) = 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(_u17922, 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(_u17922)), _u17923)))), hAPP(hAPP(c_COMBB(_u17922, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17922, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17922, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17922, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17922), _u17923)), c_Code__Numeral_Onat__of)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_subtract__code__numeral__code ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_subtract__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17924)), hAPP(c_Code__Numeral_Oof__nat, _u17925)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17924), _u17925))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nat__of__inverse ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nat__of__inverse-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17926)) = _u17926) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_of__nat__nat__of ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_of__nat__nat__of-1, axiom, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17927)) = _u17927) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nat__of__of__nat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nat__of__of__nat-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17928)) = _u17928) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_times__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_times__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17929), _u17930) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17929)), hAPP(c_Code__Numeral_Onat__of, _u17930)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Code__Numeral_Onat__of__inject ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Code__Numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17933) != hAPP(c_Code__Numeral_Onat__of, _u17935)) | ( _u17933 = _u17935) )).
% 43.37/43.60 cnf(fact_Code__Numeral_Onat__of__inject-2, axiom, ( ( _u17934 != _u17936) | ( hAPP(c_Code__Numeral_Onat__of, _u17934) = hAPP(c_Code__Numeral_Onat__of, _u17936)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_code__numeral_Onat__of__inject ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_code__numeral_Onat__of__inject-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17939) != hAPP(c_Code__Numeral_Onat__of, _u17941)) | ( _u17939 = _u17941) )).
% 43.37/43.60 cnf(fact_code__numeral_Onat__of__inject-2, axiom, ( ( _u17940 != _u17942) | ( hAPP(c_Code__Numeral_Onat__of, _u17940) = hAPP(c_Code__Numeral_Onat__of, _u17942)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_type__definition__code__numeral ( axiom ) converted to clauses:
% 43.37/43.60 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))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_less__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_less__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17945), _u17947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17945)), hAPP(c_Code__Numeral_Onat__of, _u17947))) )).
% 43.37/43.60 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, _u17946)), hAPP(c_Code__Numeral_Onat__of, _u17948))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17946), _u17948)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nat__of ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nat__of-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17949)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nat__of__number ( axiom ) converted to clauses:
% 43.37/43.60 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), _u17950)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17950)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_int__of__def ( axiom ) converted to clauses:
% 43.37/43.60 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)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_less__eq__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_less__eq__code__numeral__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17953), _u17955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17953)), hAPP(c_Code__Numeral_Onat__of, _u17955))) )).
% 43.37/43.60 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, _u17954)), hAPP(c_Code__Numeral_Onat__of, _u17956))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17954), _u17956)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nat__of__code ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nat__of__code-1, axiom, ( ( hAPP(c_Code__Numeral_Onat__of, _u17957) = c_Code__Numeral_Onat__of__aux(_u17957, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nat__of__aux__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nat__of__aux__def-1, axiom, ( ( c_Code__Numeral_Onat__of__aux(_u17958, _u17959) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17958)), _u17959)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Suc__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Suc__code__numeral__def-1, axiom, ( ( c_Code__Numeral_OSuc__code__numeral(_u17960) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17960)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_minus__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_minus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17961), _u17962) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17961)), hAPP(c_Code__Numeral_Onat__of, _u17962)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_of__nat__inverse ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_of__nat__inverse-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17963), 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, _u17963)) = _u17963) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_plus__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_plus__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17964), _u17965) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17964)), hAPP(c_Code__Numeral_Onat__of, _u17965)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_div__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_div__code__numeral__def-1, axiom, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17966), _u17967) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17966)), hAPP(c_Code__Numeral_Onat__of, _u17967)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_subtract__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_subtract__code__numeral__def-1, axiom, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_minus__code__numeral__code ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_minus__code__numeral__code-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17968), _u17969) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u17968), _u17969)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_mod__code__numeral__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_mod__code__numeral__def-1, axiom, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17970, _u17971) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17970), hAPP(c_Code__Numeral_Onat__of, _u17971)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_code__numeral__decr ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_code__numeral__decr-1, axiom, ( ( _u17972 = 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, _u17972)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17972))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__mono ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__mono-1, axiom, ( ~class_Groups_Omonoid__add(_u17974) | ~class_Groups_Oordered__ab__semigroup__add(_u17974) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17974), hAPP(c_List_Omonoid__add__class_Olistsum(_u17974), hAPP(hAPP(c_List_Omap(_u17975, _u17974), _u17977), _u17976))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17974), hAPP(hAPP(c_List_Omap(_u17975, _u17974), _u17978), _u17976)))) | hBOOL(hAPP(hAPP(c_member(_u17975), skolem459(_u17978, _u17977, _u17976, _u17975, _u17974)), hAPP(c_List_Oset(_u17975), _u17976))) )).
% 43.37/43.60 cnf(fact_listsum__mono-2, axiom, ( ~class_Groups_Omonoid__add(_u17974) | ~class_Groups_Oordered__ab__semigroup__add(_u17974) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17974), hAPP(c_List_Omonoid__add__class_Olistsum(_u17974), hAPP(hAPP(c_List_Omap(_u17975, _u17974), _u17977), _u17976))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17974), hAPP(hAPP(c_List_Omap(_u17975, _u17974), _u17978), _u17976)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17974), hAPP(_u17977, skolem459(_u17978, _u17977, _u17976, _u17975, _u17974))), hAPP(_u17978, skolem459(_u17978, _u17977, _u17976, _u17975, _u17974)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_New__DSequence_Opos__not__seq__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_New__DSequence_Opos__not__seq__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17979), _u17980) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17979, 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)))), _u17980)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_partition__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_partition__set-1, axiom, ( ( c_List_Opartition(_u17981, _u17982, _u17983) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17981), tc_List_Olist(_u17981)), _u17984), _u17985)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17981, tc_HOL_Obool)), hAPP(c_List_Oset(_u17981), _u17984)), hAPP(c_List_Oset(_u17981), _u17985)) = hAPP(c_List_Oset(_u17981), _u17983)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists__Int__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists__Int__eq-1, axiom, ( ( c_List_Olistsp(_u17986, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17986, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17986, tc_fun(_u17986, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17986)), _u17987)), hAPP(hAPP(c_COMBC(_u17986, tc_fun(_u17986, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17986)), _u17988))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17986), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17986), tc_fun(tc_List_Olist(_u17986), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17986))), c_List_Olists(_u17986, _u17987))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17986), tc_fun(tc_List_Olist(_u17986), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17986))), c_List_Olists(_u17986, _u17988)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsp_ONil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsp_ONil-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17989, _u17990), c_List_Olist_ONil(_u17989))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsp_Oequations_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsp_Oequations_I1_J-1, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17991, _u17992), c_List_Olist_ONil(_u17991))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_in__listsp__conv__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_in__listsp__conv__set-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u17998, _u18000), _u18002)) | ~hBOOL(hAPP(hAPP(c_member(_u17998), _u17993), hAPP(c_List_Oset(_u17998), _u18002))) | hBOOL(hAPP(_u18000, _u17993)) )).
% 43.37/43.60 cnf(fact_in__listsp__conv__set-2, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17999, _u18001), _u18003)) | hBOOL(hAPP(hAPP(c_member(_u17999), skolem460(_u18003, _u18001, _u17999)), hAPP(c_List_Oset(_u17999), _u18003))) )).
% 43.37/43.60 cnf(fact_in__listsp__conv__set-3, axiom, ( hBOOL(hAPP(c_List_Olistsp(_u17999, _u18001), _u18003)) | ~hBOOL(hAPP(_u18001, skolem460(_u18003, _u18001, _u17999))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsp__inf__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsp__inf__eq-1, axiom, ( ( c_List_Olistsp(_u18004, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18004, tc_HOL_Obool)), _u18005), _u18006)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u18004), tc_HOL_Obool)), c_List_Olistsp(_u18004, _u18005)), c_List_Olistsp(_u18004, _u18006))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsp__infI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsp__infI-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18007, _u18008), _u18009)) | ~hBOOL(hAPP(c_List_Olistsp(_u18007, _u18010), _u18009)) | hBOOL(hAPP(c_List_Olistsp(_u18007, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18007, tc_HOL_Obool)), _u18008), _u18010)), _u18009)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsp__conj__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsp__conj__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18015, hAPP(hAPP(c_COMBS(_u18015, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18015), c_fconj), _u18017)), _u18019)), _u18021)) | hBOOL(hAPP(c_List_Olistsp(_u18015, _u18017), _u18021)) )).
% 43.37/43.60 cnf(fact_listsp__conj__eq-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18015, hAPP(hAPP(c_COMBS(_u18015, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18015), c_fconj), _u18017)), _u18019)), _u18021)) | hBOOL(hAPP(c_List_Olistsp(_u18015, _u18019), _u18021)) )).
% 43.37/43.60 cnf(fact_listsp__conj__eq-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18016, _u18018), _u18022)) | ~hBOOL(hAPP(c_List_Olistsp(_u18016, _u18020), _u18022)) | hBOOL(hAPP(c_List_Olistsp(_u18016, hAPP(hAPP(c_COMBS(_u18016, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18016), c_fconj), _u18018)), _u18020)), _u18022)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsp_Oequations_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsp_Oequations_I2_J-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18027, _u18029), hAPP(hAPP(c_List_Olist_OCons(_u18027), _u18031), _u18033))) | hBOOL(hAPP(_u18029, _u18031)) )).
% 43.37/43.60 cnf(fact_listsp_Oequations_I2_J-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18027, _u18029), hAPP(hAPP(c_List_Olist_OCons(_u18027), _u18031), _u18033))) | hBOOL(hAPP(c_List_Olistsp(_u18027, _u18029), _u18033)) )).
% 43.37/43.60 cnf(fact_listsp_Oequations_I2_J-3, axiom, ( ~hBOOL(hAPP(_u18030, _u18032)) | ~hBOOL(hAPP(c_List_Olistsp(_u18028, _u18030), _u18034)) | hBOOL(hAPP(c_List_Olistsp(_u18028, _u18030), hAPP(hAPP(c_List_Olist_OCons(_u18028), _u18032), _u18034))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_append__in__listsp__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_append__in__listsp__conv-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18039, _u18041), hAPP(hAPP(c_List_Oappend(_u18039), _u18043), _u18045))) | hBOOL(hAPP(c_List_Olistsp(_u18039, _u18041), _u18043)) )).
% 43.37/43.60 cnf(fact_append__in__listsp__conv-2, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18039, _u18041), hAPP(hAPP(c_List_Oappend(_u18039), _u18043), _u18045))) | hBOOL(hAPP(c_List_Olistsp(_u18039, _u18041), _u18045)) )).
% 43.37/43.60 cnf(fact_append__in__listsp__conv-3, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18040, _u18042), _u18044)) | ~hBOOL(hAPP(c_List_Olistsp(_u18040, _u18042), _u18046)) | hBOOL(hAPP(c_List_Olistsp(_u18040, _u18042), hAPP(hAPP(c_List_Oappend(_u18040), _u18044), _u18046))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsp__mono ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsp__mono-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18047, tc_HOL_Obool)), _u18048), _u18049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u18047), tc_HOL_Obool)), c_List_Olistsp(_u18047, _u18048)), c_List_Olistsp(_u18047, _u18049))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_partition__P ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_partition__P-1, axiom, ( ( c_List_Opartition(_u18052, _u18053, _u18054) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18052), tc_List_Olist(_u18052)), _u18055), _u18056)) | ~hBOOL(hAPP(hAPP(c_member(_u18052), _u18050), hAPP(c_List_Oset(_u18052), _u18055))) | hBOOL(hAPP(_u18053, _u18050)) )).
% 43.37/43.60 cnf(fact_partition__P-2, axiom, ( ( c_List_Opartition(_u18052, _u18053, _u18054) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18052), tc_List_Olist(_u18052)), _u18055), _u18056)) | ~hBOOL(hAPP(hAPP(c_member(_u18052), _u18051), hAPP(c_List_Oset(_u18052), _u18056))) | ~hBOOL(hAPP(_u18053, _u18051)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_partition_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_partition_Osimps_I1_J-1, axiom, ( ( c_List_Opartition(_u18057, _u18058, c_List_Olist_ONil(_u18057)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18057), tc_List_Olist(_u18057)), c_List_Olist_ONil(_u18057)), c_List_Olist_ONil(_u18057))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsp__lists__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsp__lists__eq-1, axiom, ( ~hBOOL(hAPP(c_List_Olistsp(_u18062, hAPP(hAPP(c_COMBC(_u18062, tc_fun(_u18062, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18062)), _u18064)), _u18066)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18062)), _u18066), c_List_Olists(_u18062, _u18064))) )).
% 43.37/43.60 cnf(fact_listsp__lists__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18063)), _u18067), c_List_Olists(_u18063, _u18065))) | hBOOL(hAPP(c_List_Olistsp(_u18063, hAPP(hAPP(c_COMBC(_u18063, tc_fun(_u18063, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18063)), _u18065)), _u18067)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_partition_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_partition_Osimps_I2_J-1, axiom, ( ( c_List_Opartition(_u18068, _u18069, hAPP(hAPP(c_List_Olist_OCons(_u18068), _u18070), _u18071)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18068), tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18068), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18068), tc_fun(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), tc_fun(tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), tc_List_Olist(_u18068)), c_COMBS(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_fun(tc_List_Olist(_u18068), tc_fun(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), tc_List_Olist(_u18068)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_fun(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_List_Olist(_u18068)), hAPP(c_If(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), hAPP(_u18069, _u18070)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18068), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_List_Olist(_u18068)), c_Product__Type_OPair(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), hAPP(c_List_Olist_OCons(_u18068), _u18070))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18068), tc_fun(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_fun(tc_fun(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), tc_List_Olist(_u18068)), c_COMBB(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_List_Olist(_u18068))), c_Product__Type_OPair(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), hAPP(c_List_Olist_OCons(_u18068), _u18070)))), c_List_Opartition(_u18068, _u18069, _u18071))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_lists__IntI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_lists__IntI-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18072)), _u18073), c_List_Olists(_u18072, _u18074))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18072)), _u18073), c_List_Olists(_u18072, _u18075))) | hBOOL(hAPP(c_List_Olistsp(_u18072, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18072, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u18072, tc_fun(_u18072, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18072)), _u18074)), hAPP(hAPP(c_COMBC(_u18072, tc_fun(_u18072, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18072)), _u18075))), _u18073)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__def-1, axiom, ( ~c_List_Olist__all2(_u18083, _u18085, _u18087, _u18089, _u18091) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18083)), _u18089) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18085)), _u18091)) )).
% 43.37/43.60 cnf(fact_list__all2__def-2, axiom, ( ~c_List_Olist__all2(_u18083, _u18085, _u18087, _u18089, _u18091) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18083, _u18085)), _u18076), hAPP(c_List_Oset(tc_prod(_u18083, _u18085)), hAPP(hAPP(c_List_Ozip(_u18083, _u18085), _u18089), _u18091)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18083, _u18085, tc_HOL_Obool), _u18087), _u18076)) )).
% 43.37/43.60 cnf(fact_list__all2__def-3, axiom, ( c_List_Olist__all2(_u18084, _u18086, _u18088, _u18090, _u18092) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18084)), _u18090) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18086)), _u18092)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18084, _u18086)), skolem461(_u18092, _u18090, _u18088, _u18086, _u18084)), hAPP(c_List_Oset(tc_prod(_u18084, _u18086)), hAPP(hAPP(c_List_Ozip(_u18084, _u18086), _u18090), _u18092)))) )).
% 43.37/43.60 cnf(fact_list__all2__def-4, axiom, ( c_List_Olist__all2(_u18084, _u18086, _u18088, _u18090, _u18092) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18084)), _u18090) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18086)), _u18092)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18084, _u18086, tc_HOL_Obool), _u18088), skolem461(_u18092, _u18090, _u18088, _u18086, _u18084))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_all__nth__imp__all__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_all__nth__imp__all__set-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18094), _u18097), hAPP(c_List_Oset(_u18094), _u18095))) | hBOOL(hAPP(_u18096, _u18097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem462(_u18097, _u18096, _u18095, _u18094)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18094)), _u18095))) )).
% 43.37/43.60 cnf(fact_all__nth__imp__all__set-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18094), _u18097), hAPP(c_List_Oset(_u18094), _u18095))) | hBOOL(hAPP(_u18096, _u18097)) | ~hBOOL(hAPP(_u18096, hAPP(hAPP(c_List_Onth(_u18094), _u18095), skolem462(_u18097, _u18096, _u18095, _u18094)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__map1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__map1-1, axiom, ( ~c_List_Olist__all2(_u18105, _u18107, _u18109, hAPP(hAPP(c_List_Omap(_u18111, _u18105), _u18113), _u18115), _u18117) | c_List_Olist__all2(_u18111, _u18107, hAPP(hAPP(c_COMBB(_u18105, tc_fun(_u18107, tc_HOL_Obool), _u18111), _u18109), _u18113), _u18115, _u18117) )).
% 43.37/43.60 cnf(fact_list__all2__map1-2, axiom, ( ~c_List_Olist__all2(_u18112, _u18108, hAPP(hAPP(c_COMBB(_u18106, tc_fun(_u18108, tc_HOL_Obool), _u18112), _u18110), _u18114), _u18116, _u18118) | c_List_Olist__all2(_u18106, _u18108, _u18110, hAPP(hAPP(c_List_Omap(_u18112, _u18106), _u18114), _u18116), _u18118) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__map2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__map2-1, axiom, ( ~c_List_Olist__all2(_u18126, _u18128, _u18130, _u18132, hAPP(hAPP(c_List_Omap(_u18134, _u18128), _u18136), _u18138)) | c_List_Olist__all2(_u18126, _u18134, hAPP(hAPP(c_COMBC(_u18126, tc_fun(_u18134, _u18128), tc_fun(_u18134, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18128, tc_HOL_Obool), tc_fun(tc_fun(_u18134, _u18128), tc_fun(_u18134, tc_HOL_Obool)), _u18126), c_COMBB(_u18128, tc_HOL_Obool, _u18134)), _u18130)), _u18136), _u18132, _u18138) )).
% 43.37/43.60 cnf(fact_list__all2__map2-2, axiom, ( ~c_List_Olist__all2(_u18127, _u18135, hAPP(hAPP(c_COMBC(_u18127, tc_fun(_u18135, _u18129), tc_fun(_u18135, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18129, tc_HOL_Obool), tc_fun(tc_fun(_u18135, _u18129), tc_fun(_u18135, tc_HOL_Obool)), _u18127), c_COMBB(_u18129, tc_HOL_Obool, _u18135)), _u18131)), _u18137), _u18133, _u18139) | c_List_Olist__all2(_u18127, _u18129, _u18131, _u18133, hAPP(hAPP(c_List_Omap(_u18135, _u18129), _u18137), _u18139)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__append-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18140)), _u18141) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18142)), _u18143)) | ~c_List_Olist__all2(_u18140, _u18142, _u18144, hAPP(hAPP(c_List_Oappend(_u18140), _u18141), _u18145), hAPP(hAPP(c_List_Oappend(_u18142), _u18143), _u18146)) | c_List_Olist__all2(_u18140, _u18142, _u18144, _u18141, _u18143) )).
% 43.37/43.60 cnf(fact_list__all2__append-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18140)), _u18141) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18142)), _u18143)) | ~c_List_Olist__all2(_u18140, _u18142, _u18144, hAPP(hAPP(c_List_Oappend(_u18140), _u18141), _u18145), hAPP(hAPP(c_List_Oappend(_u18142), _u18143), _u18146)) | c_List_Olist__all2(_u18140, _u18142, _u18144, _u18145, _u18146) )).
% 43.37/43.60 cnf(fact_list__all2__append-3, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18140)), _u18141) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18142)), _u18143)) | ~c_List_Olist__all2(_u18140, _u18142, _u18144, _u18141, _u18143) | ~c_List_Olist__all2(_u18140, _u18142, _u18144, _u18145, _u18146) | c_List_Olist__all2(_u18140, _u18142, _u18144, hAPP(hAPP(c_List_Oappend(_u18140), _u18141), _u18145), hAPP(hAPP(c_List_Oappend(_u18142), _u18143), _u18146)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__appendI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__appendI-1, axiom, ( ~c_List_Olist__all2(_u18147, _u18148, _u18149, _u18150, _u18151) | ~c_List_Olist__all2(_u18147, _u18148, _u18149, _u18152, _u18153) | c_List_Olist__all2(_u18147, _u18148, _u18149, hAPP(hAPP(c_List_Oappend(_u18147), _u18150), _u18152), hAPP(hAPP(c_List_Oappend(_u18148), _u18151), _u18153)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__dropI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__dropI-1, axiom, ( ~c_List_Olist__all2(_u18154, _u18155, _u18156, _u18157, _u18158) | c_List_Olist__all2(_u18154, _u18155, _u18156, hAPP(hAPP(c_List_Odrop(_u18154), _u18159), _u18157), hAPP(hAPP(c_List_Odrop(_u18155), _u18159), _u18158)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__Cons-1, axiom, ( ~c_List_Olist__all2(_u18167, _u18169, _u18171, hAPP(hAPP(c_List_Olist_OCons(_u18167), _u18173), _u18175), hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18177), _u18179)) | hBOOL(hAPP(hAPP(_u18171, _u18173), _u18177)) )).
% 43.37/43.60 cnf(fact_list__all2__Cons-2, axiom, ( ~c_List_Olist__all2(_u18167, _u18169, _u18171, hAPP(hAPP(c_List_Olist_OCons(_u18167), _u18173), _u18175), hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18177), _u18179)) | c_List_Olist__all2(_u18167, _u18169, _u18171, _u18175, _u18179) )).
% 43.37/43.60 cnf(fact_list__all2__Cons-3, axiom, ( ~hBOOL(hAPP(hAPP(_u18172, _u18174), _u18178)) | ~c_List_Olist__all2(_u18168, _u18170, _u18172, _u18176, _u18180) | c_List_Olist__all2(_u18168, _u18170, _u18172, hAPP(hAPP(c_List_Olist_OCons(_u18168), _u18174), _u18176), hAPP(hAPP(c_List_Olist_OCons(_u18170), _u18178), _u18180)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__eq-1, axiom, ( ( _u18184 != _u18186) | c_List_Olist__all2(_u18188, _u18188, c_fequal, _u18184, _u18186) )).
% 43.37/43.60 cnf(fact_list__all2__eq-2, axiom, ( ~c_List_Olist__all2(_u18189, _u18189, c_fequal, _u18185, _u18187) | ( _u18185 = _u18187) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__takeI ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__takeI-1, axiom, ( ~c_List_Olist__all2(_u18190, _u18191, _u18192, _u18193, _u18194) | c_List_Olist__all2(_u18190, _u18191, _u18192, hAPP(hAPP(c_List_Otake(_u18190), _u18195), _u18193), hAPP(hAPP(c_List_Otake(_u18191), _u18195), _u18194)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__lengthD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__lengthD-1, axiom, ( ~c_List_Olist__all2(_u18196, _u18197, _u18198, _u18199, _u18200) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18196)), _u18199) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18197)), _u18200)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__Nil-1, axiom, ( ( _u18211 = c_List_Olist_ONil(_u18207)) | ~c_List_Olist__all2(_u18205, _u18207, _u18209, c_List_Olist_ONil(_u18205), _u18211) )).
% 43.37/43.60 cnf(fact_list__all2__Nil-2, axiom, ( ( _u18212 != c_List_Olist_ONil(_u18208)) | c_List_Olist__all2(_u18206, _u18208, _u18210, c_List_Olist_ONil(_u18206), _u18212) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__Nil2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__Nil2-1, axiom, ( ~c_List_Olist__all2(_u18217, _u18219, _u18221, _u18223, c_List_Olist_ONil(_u18219)) | ( _u18223 = c_List_Olist_ONil(_u18217)) )).
% 43.37/43.60 cnf(fact_list__all2__Nil2-2, axiom, ( ( _u18224 != c_List_Olist_ONil(_u18218)) | c_List_Olist__all2(_u18218, _u18220, _u18222, _u18224, c_List_Olist_ONil(_u18220)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__conv__all__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__conv__all__nth-1, axiom, ( ~c_List_Olist__all2(_u18232, _u18234, _u18236, _u18238, _u18240) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18238) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18234)), _u18240)) )).
% 43.37/43.60 cnf(fact_list__all2__conv__all__nth-2, axiom, ( ~c_List_Olist__all2(_u18232, _u18234, _u18236, _u18238, _u18240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18225), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18238))) | hBOOL(hAPP(hAPP(_u18236, hAPP(hAPP(c_List_Onth(_u18232), _u18238), _u18225)), hAPP(hAPP(c_List_Onth(_u18234), _u18240), _u18225))) )).
% 43.37/43.60 cnf(fact_list__all2__conv__all__nth-3, axiom, ( c_List_Olist__all2(_u18233, _u18235, _u18237, _u18239, _u18241) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18239) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18235)), _u18241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18241, _u18239, _u18237, _u18235, _u18233)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18239))) )).
% 43.37/43.60 cnf(fact_list__all2__conv__all__nth-4, axiom, ( c_List_Olist__all2(_u18233, _u18235, _u18237, _u18239, _u18241) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18239) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18235)), _u18241)) | ~hBOOL(hAPP(hAPP(_u18237, hAPP(hAPP(c_List_Onth(_u18233), _u18239), skolem463(_u18241, _u18239, _u18237, _u18235, _u18233))), hAPP(hAPP(c_List_Onth(_u18235), _u18241), skolem463(_u18241, _u18239, _u18237, _u18235, _u18233)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__nthD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__nthD-1, axiom, ( ~c_List_Olist__all2(_u18242, _u18243, _u18244, _u18245, _u18246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18247), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18242)), _u18245))) | hBOOL(hAPP(hAPP(_u18244, hAPP(hAPP(c_List_Onth(_u18242), _u18245), _u18247)), hAPP(hAPP(c_List_Onth(_u18243), _u18246), _u18247))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__nthD2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__nthD2-1, axiom, ( ~c_List_Olist__all2(_u18248, _u18249, _u18250, _u18251, _u18252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18253), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18249)), _u18252))) | hBOOL(hAPP(hAPP(_u18250, hAPP(hAPP(c_List_Onth(_u18248), _u18251), _u18253)), hAPP(hAPP(c_List_Onth(_u18249), _u18252), _u18253))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__update__cong ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__update__cong-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18255)), _u18256))) | ~c_List_Olist__all2(_u18255, _u18257, _u18258, _u18256, _u18259) | ~hBOOL(hAPP(hAPP(_u18258, _u18260), _u18261)) | c_List_Olist__all2(_u18255, _u18257, _u18258, hAPP(hAPP(c_List_Olist__update(_u18255, _u18256), _u18254), _u18260), hAPP(hAPP(c_List_Olist__update(_u18257, _u18259), _u18254), _u18261)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__update__cong2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__update__cong2-1, axiom, ( ~c_List_Olist__all2(_u18262, _u18263, _u18264, _u18265, _u18266) | ~hBOOL(hAPP(hAPP(_u18264, _u18267), _u18268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18269), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18263)), _u18266))) | c_List_Olist__all2(_u18262, _u18263, _u18264, hAPP(hAPP(c_List_Olist__update(_u18262, _u18265), _u18269), _u18267), hAPP(hAPP(c_List_Olist__update(_u18263, _u18266), _u18269), _u18268)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2I ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2I-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18271)), _u18273) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18272)), _u18274)) | c_List_Olist__all2(_u18271, _u18272, _u18275, _u18273, _u18274) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18271, _u18272)), skolem464(_u18275, _u18274, _u18273, _u18272, _u18271)), hAPP(c_List_Oset(tc_prod(_u18271, _u18272)), hAPP(hAPP(c_List_Ozip(_u18271, _u18272), _u18273), _u18274)))) )).
% 43.37/43.60 cnf(fact_list__all2I-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18271)), _u18273) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18272)), _u18274)) | c_List_Olist__all2(_u18271, _u18272, _u18275, _u18273, _u18274) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18271, _u18272, tc_HOL_Obool), _u18275), skolem464(_u18275, _u18274, _u18273, _u18272, _u18271))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_fun__left__comm_Ofold__set__remdups ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_fun__left__comm_Ofold__set__remdups-1, axiom, ( ~c_Finite__Set_Ofun__left__comm(_u18276, _u18277, _u18278) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u18276, _u18277, _u18278), _u18279), hAPP(c_List_Oset(_u18276), _u18280)) = hAPP(c_List_Ofoldl(_u18277, _u18276, hAPP(c_COMBC(_u18276, _u18277, _u18277), _u18278), _u18279), c_List_Oremdups(_u18276, _u18280))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__remdups ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__remdups-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(_u18281), c_List_Oremdups(_u18281, _u18282))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__remdups__leq ( axiom ) converted to clauses:
% 43.37/43.60 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(_u18283)), c_List_Oremdups(_u18283, _u18284))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18283)), _u18284))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remove1__remdups ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remove1__remdups-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18285), _u18286)) | ( c_List_Oremove1(_u18285, _u18287, c_List_Oremdups(_u18285, _u18286)) = c_List_Oremdups(_u18285, c_List_Oremove1(_u18285, _u18287, _u18286))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remdups__eq__nil__iff ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remdups__eq__nil__iff-1, axiom, ( ( c_List_Oremdups(_u18290, _u18292) != c_List_Olist_ONil(_u18290)) | ( _u18292 = c_List_Olist_ONil(_u18290)) )).
% 43.37/43.60 cnf(fact_remdups__eq__nil__iff-2, axiom, ( ( _u18293 != c_List_Olist_ONil(_u18291)) | ( c_List_Oremdups(_u18291, _u18293) = c_List_Olist_ONil(_u18291)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remdups__eq__nil__right__iff ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remdups__eq__nil__right__iff-1, axiom, ( ( c_List_Olist_ONil(_u18296) != c_List_Oremdups(_u18296, _u18298)) | ( _u18298 = c_List_Olist_ONil(_u18296)) )).
% 43.37/43.60 cnf(fact_remdups__eq__nil__right__iff-2, axiom, ( ( _u18299 != c_List_Olist_ONil(_u18297)) | ( c_List_Olist_ONil(_u18297) = c_List_Oremdups(_u18297, _u18299)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remdups_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remdups_Osimps_I1_J-1, axiom, ( ( c_List_Oremdups(_u18300, c_List_Olist_ONil(_u18300)) = c_List_Olist_ONil(_u18300)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__remdups__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__remdups__eq-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18303)), c_List_Oremdups(_u18303, _u18305)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18303)), _u18305)) | ( c_List_Oremdups(_u18303, _u18305) = _u18305) )).
% 43.37/43.60 cnf(fact_length__remdups__eq-2, axiom, ( ( c_List_Oremdups(_u18304, _u18306) != _u18306) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18304)), c_List_Oremdups(_u18304, _u18306)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18304)), _u18306)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__remdups ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__remdups-1, axiom, ( ( hAPP(c_List_Oset(_u18307), c_List_Oremdups(_u18307, _u18308)) = hAPP(c_List_Oset(_u18307), _u18308)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remdups__remdups ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remdups__remdups-1, axiom, ( ( c_List_Oremdups(_u18309, c_List_Oremdups(_u18309, _u18310)) = c_List_Oremdups(_u18309, _u18310)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__remdups__id ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__remdups__id-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18311), _u18312)) | ( c_List_Oremdups(_u18311, _u18312) = _u18312) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remdups__id__iff__distinct ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remdups__id__iff__distinct-1, axiom, ( ( c_List_Oremdups(_u18315, _u18317) != _u18317) | hBOOL(hAPP(c_List_Odistinct(_u18315), _u18317)) )).
% 43.37/43.60 cnf(fact_remdups__id__iff__distinct-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18316), _u18318)) | ( c_List_Oremdups(_u18316, _u18318) = _u18318) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remdups__map__remdups ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remdups__map__remdups-1, axiom, ( ( c_List_Oremdups(_u18319, hAPP(hAPP(c_List_Omap(_u18320, _u18319), _u18321), c_List_Oremdups(_u18320, _u18322))) = c_List_Oremdups(_u18319, hAPP(hAPP(c_List_Omap(_u18320, _u18319), _u18321), _u18322))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remdups_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remdups_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18326), _u18328), hAPP(c_List_Oset(_u18326), _u18330))) | ( c_List_Oremdups(_u18326, hAPP(hAPP(c_List_Olist_OCons(_u18326), _u18328), _u18330)) = c_List_Oremdups(_u18326, _u18330)) )).
% 43.37/43.60 cnf(fact_remdups_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u18327), _u18329), hAPP(c_List_Oset(_u18327), _u18331))) | ( c_List_Oremdups(_u18327, hAPP(hAPP(c_List_Olist_OCons(_u18327), _u18329), _u18331)) = hAPP(hAPP(c_List_Olist_OCons(_u18327), _u18329), c_List_Oremdups(_u18327, _u18331))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__remdups__card__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__remdups__card__conv-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18332)), c_List_Oremdups(_u18332, _u18333)) = hAPP(c_Finite__Set_Ocard(_u18332), hAPP(c_List_Oset(_u18332), _u18333))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__remdups__concat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__remdups__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18334)), c_List_Oremdups(_u18334, c_List_Oconcat(_u18334, _u18335))) = hAPP(c_Finite__Set_Ocard(_u18334), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18334), tc_fun(_u18334, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18334)), _u18335)), c_List_Oset(_u18334)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__list__of__set__sort__remdups ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__list__of__set__sort__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18336) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18336, hAPP(c_List_Oset(_u18336), _u18337)) = c_List_Olinorder__class_Osort__key(_u18336, _u18336, c_COMBI(_u18336), c_List_Oremdups(_u18336, _u18337))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_concat_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_concat_Osimps_I2_J-1, axiom, ( ( c_List_Oconcat(_u18338, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18338)), _u18339), _u18340)) = hAPP(hAPP(c_List_Oappend(_u18338), _u18339), c_List_Oconcat(_u18338, _u18340))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_concat__conv__foldl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_concat__conv__foldl-1, axiom, ( ( c_List_Oconcat(_u18341, _u18342) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18341), tc_List_Olist(_u18341), c_List_Oappend(_u18341), c_List_Olist_ONil(_u18341)), _u18342)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__conv__concat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__conv__concat-1, axiom, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u18343), tc_List_Olist(_u18343), c_List_Oappend(_u18343), _u18344), _u18345) = hAPP(hAPP(c_List_Oappend(_u18343), _u18344), c_List_Oconcat(_u18343, _u18345))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__sort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18346) | ~hBOOL(hAPP(c_List_Odistinct(_u18347), c_List_Olinorder__class_Osort__key(_u18347, _u18346, _u18348, _u18349))) | hBOOL(hAPP(c_List_Odistinct(_u18347), _u18349)) )).
% 43.37/43.60 cnf(fact_distinct__sort-2, axiom, ( ~class_Orderings_Olinorder(_u18346) | ~hBOOL(hAPP(c_List_Odistinct(_u18347), _u18349)) | hBOOL(hAPP(c_List_Odistinct(_u18347), c_List_Olinorder__class_Osort__key(_u18347, _u18346, _u18348, _u18349))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_concat_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_concat_Osimps_I1_J-1, axiom, ( ( c_List_Oconcat(_u18350, c_List_Olist_ONil(tc_List_Olist(_u18350))) = c_List_Olist_ONil(_u18350)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__sort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18351) | ( hAPP(c_List_Oset(_u18352), c_List_Olinorder__class_Osort__key(_u18352, _u18351, _u18353, _u18354)) = hAPP(c_List_Oset(_u18352), _u18354)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__sort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18355) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18356)), c_List_Olinorder__class_Osort__key(_u18356, _u18355, _u18357, _u18358)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18356)), _u18358)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sort__key__simps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sort__key__simps_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18359) | ( c_List_Olinorder__class_Osort__key(_u18360, _u18359, _u18361, c_List_Olist_ONil(_u18360)) = c_List_Olist_ONil(_u18360)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_concat__eq__Nil__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_concat__eq__Nil__conv-1, axiom, ( ( c_List_Oconcat(_u18366, _u18368) != c_List_Olist_ONil(_u18366)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18366)), _u18362), hAPP(c_List_Oset(tc_List_Olist(_u18366)), _u18368))) | ( _u18362 = c_List_Olist_ONil(_u18366)) )).
% 43.37/43.60 cnf(fact_concat__eq__Nil__conv-2, axiom, ( ( c_List_Oconcat(_u18367, _u18369) = c_List_Olist_ONil(_u18367)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18367)), skolem465(_u18369, _u18367)), hAPP(c_List_Oset(tc_List_Olist(_u18367)), _u18369))) )).
% 43.37/43.60 cnf(fact_concat__eq__Nil__conv-3, axiom, ( ( c_List_Oconcat(_u18367, _u18369) = c_List_Olist_ONil(_u18367)) | ( skolem465(_u18369, _u18367) != c_List_Olist_ONil(_u18367)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Nil__eq__concat__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Nil__eq__concat__conv-1, axiom, ( ( c_List_Olist_ONil(_u18374) != c_List_Oconcat(_u18374, _u18376)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18374)), _u18370), hAPP(c_List_Oset(tc_List_Olist(_u18374)), _u18376))) | ( _u18370 = c_List_Olist_ONil(_u18374)) )).
% 43.37/43.60 cnf(fact_Nil__eq__concat__conv-2, axiom, ( ( c_List_Olist_ONil(_u18375) = c_List_Oconcat(_u18375, _u18377)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18375)), skolem466(_u18377, _u18375)), hAPP(c_List_Oset(tc_List_Olist(_u18375)), _u18377))) )).
% 43.37/43.60 cnf(fact_Nil__eq__concat__conv-3, axiom, ( ( c_List_Olist_ONil(_u18375) = c_List_Oconcat(_u18375, _u18377)) | ( skolem466(_u18377, _u18375) != c_List_Olist_ONil(_u18375)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__concat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__concat-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u18378, _u18379), _u18380), c_List_Oconcat(_u18378, _u18381)) = c_List_Oconcat(_u18379, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18378), tc_List_Olist(_u18379)), hAPP(c_List_Omap(_u18378, _u18379), _u18380)), _u18381))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__concat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__concat-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18382)), c_List_Oconcat(_u18382, _u18383)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18382), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18382))), _u18383))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__concat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__concat-1, axiom, ( ( hAPP(c_List_Oset(_u18384), c_List_Oconcat(_u18384, _u18385)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18384), tc_fun(_u18384, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18384)), _u18385)), c_List_Oset(_u18384))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sort__key__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sort__key__simps_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18386) | ( c_List_Olinorder__class_Osort__key(_u18387, _u18386, _u18388, hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18389), _u18390)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18387, _u18386, _u18388), _u18389), c_List_Olinorder__class_Osort__key(_u18387, _u18386, _u18388, _u18390))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_concat__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_concat__append-1, axiom, ( ( c_List_Oconcat(_u18391, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u18391)), _u18392), _u18393)) = hAPP(hAPP(c_List_Oappend(_u18391), c_List_Oconcat(_u18391, _u18392)), c_List_Oconcat(_u18391, _u18393))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sort__foldl__insort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sort__foldl__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18394) | ( c_List_Olinorder__class_Osort__key(_u18394, _u18394, c_COMBI(_u18394), _u18395) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18394), _u18394, hAPP(c_COMBC(_u18394, tc_List_Olist(_u18394), tc_List_Olist(_u18394)), c_List_Olinorder__class_Oinsort__key(_u18394, _u18394, c_COMBI(_u18394))), c_List_Olist_ONil(_u18394)), _u18395)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_concat__injective ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_concat__injective-1, axiom, ( ( c_List_Oconcat(_u18397, _u18398) != c_List_Oconcat(_u18397, _u18399)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18397))), _u18398) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18397))), _u18399)) | ( _u18398 = _u18399) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18397), tc_List_Olist(_u18397))), skolem467(_u18399, _u18398, _u18397)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18397), tc_List_Olist(_u18397))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18397), tc_List_Olist(_u18397)), _u18398), _u18399)))) )).
% 43.37/43.60 cnf(fact_concat__injective-2, axiom, ( ( c_List_Oconcat(_u18397, _u18398) != c_List_Oconcat(_u18397, _u18399)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18397))), _u18398) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18397))), _u18399)) | ( _u18398 = _u18399) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18397), tc_List_Olist(_u18397), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18397), tc_fun(tc_List_Olist(_u18397), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18397), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18397), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18397), tc_HOL_Obool)), tc_List_Olist(_u18397)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18397))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18397)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18397))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18397)))), skolem467(_u18399, _u18398, _u18397))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_concat__eq__concat__iff ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_concat__eq__concat__iff-1, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18401), tc_List_Olist(_u18401))), skolem468(_u18403, _u18402, _u18401)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18401), tc_List_Olist(_u18401))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18401), tc_List_Olist(_u18401)), _u18402), _u18403)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18402) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18403)) | ( c_List_Oconcat(_u18401, _u18402) != c_List_Oconcat(_u18401, _u18403)) | ( _u18402 = _u18403) )).
% 43.37/43.60 cnf(fact_concat__eq__concat__iff-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18401), tc_List_Olist(_u18401))), skolem468(_u18403, _u18402, _u18401)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18401), tc_List_Olist(_u18401))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18401), tc_List_Olist(_u18401)), _u18402), _u18403)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18402) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18403)) | ( _u18402 != _u18403) | ( c_List_Oconcat(_u18401, _u18402) = c_List_Oconcat(_u18401, _u18403)) )).
% 43.37/43.60 cnf(fact_concat__eq__concat__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18401), tc_List_Olist(_u18401), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18401), tc_fun(tc_List_Olist(_u18401), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18401), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18401), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18401), tc_HOL_Obool)), tc_List_Olist(_u18401)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18401))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18401)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18401))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18401)))), skolem468(_u18403, _u18402, _u18401))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18402) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18403)) | ( c_List_Oconcat(_u18401, _u18402) != c_List_Oconcat(_u18401, _u18403)) | ( _u18402 = _u18403) )).
% 43.37/43.60 cnf(fact_concat__eq__concat__iff-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18401), tc_List_Olist(_u18401), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18401), tc_fun(tc_List_Olist(_u18401), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18401), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18401), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18401), tc_HOL_Obool)), tc_List_Olist(_u18401)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18401))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18401)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18401))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18401)))), skolem468(_u18403, _u18402, _u18401))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18402) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18403)) | ( _u18402 != _u18403) | ( c_List_Oconcat(_u18401, _u18402) = c_List_Oconcat(_u18401, _u18403)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_concat__map__singleton ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_concat__map__singleton-1, axiom, ( ( c_List_Oconcat(_u18404, hAPP(hAPP(c_List_Omap(_u18405, tc_List_Olist(_u18404)), hAPP(hAPP(c_COMBC(_u18405, tc_List_Olist(_u18404), tc_List_Olist(_u18404)), hAPP(hAPP(c_COMBB(_u18404, tc_fun(tc_List_Olist(_u18404), tc_List_Olist(_u18404)), _u18405), c_List_Olist_OCons(_u18404)), _u18406)), c_List_Olist_ONil(_u18404))), _u18407)) = hAPP(hAPP(c_List_Omap(_u18405, _u18404), _u18406), _u18407)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_n__lists_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_n__lists_Osimps_I2_J-1, axiom, ( ( c_Enum_On__lists(_u18408, hAPP(c_Nat_OSuc, _u18409), _u18410) = c_List_Oconcat(tc_List_Olist(_u18408), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18408), tc_List_Olist(tc_List_Olist(_u18408))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18408), tc_List_Olist(_u18408), tc_List_Olist(tc_List_Olist(_u18408))), hAPP(hAPP(c_COMBB(tc_fun(_u18408, tc_List_Olist(_u18408)), tc_fun(tc_List_Olist(_u18408), tc_List_Olist(tc_List_Olist(_u18408))), tc_List_Olist(_u18408)), c_List_Omap(_u18408, tc_List_Olist(_u18408))), hAPP(c_COMBC(_u18408, tc_List_Olist(_u18408), tc_List_Olist(_u18408)), c_List_Olist_OCons(_u18408)))), _u18410)), c_Enum_On__lists(_u18408, _u18409, _u18410)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose_Osimps_I3_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose_Osimps_I3_J-1, axiom, ( ( c_List_Otranspose(_u18411, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18411)), hAPP(hAPP(c_List_Olist_OCons(_u18411), _u18412), _u18413)), _u18414)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18411)), hAPP(hAPP(c_List_Olist_OCons(_u18411), _u18412), c_List_Oconcat(_u18411, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18411), tc_List_Olist(_u18411)), c_List_Olist_Olist__case(tc_List_Olist(_u18411), _u18411, c_List_Olist_ONil(_u18411), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18411), tc_fun(tc_List_Olist(_u18411), tc_List_Olist(_u18411)), _u18411), c_COMBK(tc_List_Olist(_u18411), tc_List_Olist(_u18411))), hAPP(hAPP(c_COMBC(_u18411, tc_List_Olist(_u18411), tc_List_Olist(_u18411)), c_List_Olist_OCons(_u18411)), c_List_Olist_ONil(_u18411))))), _u18414)))), c_List_Otranspose(_u18411, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18411)), _u18413), c_List_Oconcat(tc_List_Olist(_u18411), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18411), tc_List_Olist(tc_List_Olist(_u18411))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18411)), _u18411, c_List_Olist_ONil(tc_List_Olist(_u18411)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18411), tc_List_Olist(tc_List_Olist(_u18411))), _u18411), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18411), tc_List_Olist(tc_List_Olist(_u18411)), tc_List_Olist(tc_List_Olist(_u18411))), c_List_Olist_OCons(tc_List_Olist(_u18411))), c_List_Olist_ONil(tc_List_Olist(_u18411)))))), _u18414)))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__aux__filter__head ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose__aux__filter__head-1, axiom, ( ( c_List_Oconcat(_u18415, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18415), tc_List_Olist(_u18415)), c_List_Olist_Olist__case(tc_List_Olist(_u18415), _u18415, c_List_Olist_ONil(_u18415), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18415), tc_fun(tc_List_Olist(_u18415), tc_List_Olist(_u18415)), _u18415), c_COMBK(tc_List_Olist(_u18415), tc_List_Olist(_u18415))), hAPP(hAPP(c_COMBC(_u18415, tc_List_Olist(_u18415), tc_List_Olist(_u18415)), c_List_Olist_OCons(_u18415)), c_List_Olist_ONil(_u18415))))), _u18416)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18415), _u18415), c_List_Ohd(_u18415)), hAPP(c_List_Ofilter(tc_List_Olist(_u18415), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18415)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18415), tc_List_Olist(_u18415), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18415)))), _u18416))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__concat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__concat-1, axiom, ( ( hAPP(c_List_Ofilter(_u18417, _u18418), c_List_Oconcat(_u18417, _u18419)) = c_List_Oconcat(_u18417, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18417), tc_List_Olist(_u18417)), c_List_Ofilter(_u18417, _u18418)), _u18419))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__sort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18420) | ( hAPP(c_List_Ofilter(_u18421, _u18422), c_List_Olinorder__class_Osort__key(_u18421, _u18420, _u18423, _u18424)) = c_List_Olinorder__class_Osort__key(_u18421, _u18420, _u18423, hAPP(c_List_Ofilter(_u18421, _u18422), _u18424))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__map-1, axiom, ( ( hAPP(c_List_Ofilter(_u18425, _u18426), hAPP(hAPP(c_List_Omap(_u18427, _u18425), _u18428), _u18429)) = hAPP(hAPP(c_List_Omap(_u18427, _u18425), _u18428), hAPP(c_List_Ofilter(_u18427, hAPP(c_Fun_Ocomp(_u18425, tc_HOL_Obool, _u18427, _u18426), _u18428)), _u18429))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__insort__triv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__insort__triv-1, axiom, ( ~class_Orderings_Olinorder(_u18430) | hBOOL(hAPP(_u18431, _u18432)) | ( hAPP(c_List_Ofilter(_u18433, _u18431), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18433, _u18430, _u18434), _u18432), _u18435)) = hAPP(c_List_Ofilter(_u18433, _u18431), _u18435)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Ofilter(_u18436, _u18437), c_List_Olist_ONil(_u18436)) = c_List_Olist_ONil(_u18436)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose_Osimps_I1_J-1, axiom, ( ( c_List_Otranspose(_u18438, c_List_Olist_ONil(tc_List_Olist(_u18438))) = c_List_Olist_ONil(tc_List_Olist(_u18438))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__empty__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__empty__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u18444, _u18446), _u18448) != c_List_Olist_ONil(_u18444)) | ~hBOOL(hAPP(hAPP(c_member(_u18444), _u18439), hAPP(c_List_Oset(_u18444), _u18448))) | ~hBOOL(hAPP(_u18446, _u18439)) )).
% 43.37/43.60 cnf(fact_filter__empty__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u18445, _u18447), _u18449) = c_List_Olist_ONil(_u18445)) | hBOOL(hAPP(hAPP(c_member(_u18445), skolem469(_u18449, _u18447, _u18445)), hAPP(c_List_Oset(_u18445), _u18449))) )).
% 43.37/43.60 cnf(fact_filter__empty__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u18445, _u18447), _u18449) = c_List_Olist_ONil(_u18445)) | hBOOL(hAPP(_u18447, skolem469(_u18449, _u18447, _u18445))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__filter__le ( axiom ) converted to clauses:
% 43.37/43.60 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(_u18450)), hAPP(c_List_Ofilter(_u18450, _u18451), _u18452))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18450)), _u18452))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sum__length__filter__compl ( axiom ) converted to clauses:
% 43.37/43.60 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(_u18453)), hAPP(c_List_Ofilter(_u18453, _u18454), _u18455))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18453)), hAPP(c_List_Ofilter(_u18453, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18453), c_fNot), _u18454)), _u18455))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18453)), _u18455)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__is__subset ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__is__subset-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18456, tc_HOL_Obool)), hAPP(c_List_Oset(_u18456), hAPP(c_List_Ofilter(_u18456, _u18457), _u18458))), hAPP(c_List_Oset(_u18456), _u18458))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__id__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__id__conv-1, axiom, ( ( hAPP(c_List_Ofilter(_u18464, _u18466), _u18468) != _u18468) | ~hBOOL(hAPP(hAPP(c_member(_u18464), _u18459), hAPP(c_List_Oset(_u18464), _u18468))) | hBOOL(hAPP(_u18466, _u18459)) )).
% 43.37/43.60 cnf(fact_filter__id__conv-2, axiom, ( ( hAPP(c_List_Ofilter(_u18465, _u18467), _u18469) = _u18469) | hBOOL(hAPP(hAPP(c_member(_u18465), skolem470(_u18469, _u18467, _u18465)), hAPP(c_List_Oset(_u18465), _u18469))) )).
% 43.37/43.60 cnf(fact_filter__id__conv-3, axiom, ( ( hAPP(c_List_Ofilter(_u18465, _u18467), _u18469) = _u18469) | ~hBOOL(hAPP(_u18467, skolem470(_u18469, _u18467, _u18465))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__filter ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__filter-1, axiom, ( ( hAPP(c_List_Ofilter(_u18470, _u18471), hAPP(c_List_Ofilter(_u18470, _u18472), _u18473)) = hAPP(c_List_Ofilter(_u18470, hAPP(hAPP(c_COMBS(_u18470, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18470), c_fconj), _u18472)), _u18471)), _u18473)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remove1__filter__not ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remove1__filter__not-1, axiom, ( hBOOL(hAPP(_u18474, _u18475)) | ( c_List_Oremove1(_u18476, _u18475, hAPP(c_List_Ofilter(_u18476, _u18474), _u18477)) = hAPP(c_List_Ofilter(_u18476, _u18474), _u18477)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__remove1-1, axiom, ( ( hAPP(c_List_Ofilter(_u18478, _u18479), c_List_Oremove1(_u18478, _u18480, _u18481)) = c_List_Oremove1(_u18478, _u18480, hAPP(c_List_Ofilter(_u18478, _u18479), _u18481))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u18486, _u18488)) | ( hAPP(c_List_Ofilter(_u18490, _u18486), hAPP(hAPP(c_List_Olist_OCons(_u18490), _u18488), _u18492)) = hAPP(hAPP(c_List_Olist_OCons(_u18490), _u18488), hAPP(c_List_Ofilter(_u18490, _u18486), _u18492))) )).
% 43.37/43.60 cnf(fact_filter_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u18487, _u18489)) | ( hAPP(c_List_Ofilter(_u18491, _u18487), hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18489), _u18493)) = hAPP(c_List_Ofilter(_u18491, _u18487), _u18493)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__append-1, axiom, ( ( hAPP(c_List_Ofilter(_u18494, _u18495), hAPP(hAPP(c_List_Oappend(_u18494), _u18496), _u18497)) = hAPP(hAPP(c_List_Oappend(_u18494), hAPP(c_List_Ofilter(_u18494, _u18495), _u18496)), hAPP(c_List_Ofilter(_u18494, _u18495), _u18497))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__filter ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__filter-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18498), _u18499)) | hBOOL(hAPP(c_List_Odistinct(_u18498), hAPP(c_List_Ofilter(_u18498, _u18500), _u18499))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_partition__filter1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_partition__filter1-1, axiom, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u18501), tc_List_Olist(_u18501)), c_List_Opartition(_u18501, _u18502, _u18503)) = hAPP(c_List_Ofilter(_u18501, _u18502), _u18503)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_partition__filter2 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_partition__filter2-1, axiom, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u18504), tc_List_Olist(_u18504)), c_List_Opartition(_u18504, _u18505, _u18506)) = hAPP(c_List_Ofilter(_u18504, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18504, c_fNot), _u18505)), _u18506)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_remdups__filter ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_remdups__filter-1, axiom, ( ( c_List_Oremdups(_u18507, hAPP(c_List_Ofilter(_u18507, _u18508), _u18509)) = hAPP(c_List_Ofilter(_u18507, _u18508), c_List_Oremdups(_u18507, _u18509))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose_Osimps_I2_J-1, axiom, ( ( c_List_Otranspose(_u18510, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18510)), c_List_Olist_ONil(_u18510)), _u18511)) = c_List_Otranspose(_u18510, _u18511)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__transpose ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__transpose-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18512), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18513))), c_List_Otranspose(_u18513, _u18514)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18513)), c_List_Otranspose(_u18513, _u18514)), _u18512) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18513), _u18513), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18513), tc_Nat_Onat, _u18513), c_List_Onth(_u18513)), _u18512)), hAPP(c_List_Ofilter(tc_List_Olist(_u18513), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18513)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18512)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18513)))), _u18514))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__map__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose__map__map-1, axiom, ( ( c_List_Otranspose(_u18515, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18516), tc_List_Olist(_u18515)), hAPP(c_List_Omap(_u18516, _u18515), _u18517)), _u18518)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18516), tc_List_Olist(_u18515)), hAPP(c_List_Omap(_u18516, _u18515), _u18517)), c_List_Otranspose(_u18516, _u18518))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__filter ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__filter-1, axiom, ( ( hAPP(c_List_Oset(_u18519), hAPP(c_List_Ofilter(_u18519, _u18520), _u18521)) = hAPP(c_Set_OCollect(_u18519), hAPP(hAPP(c_COMBS(_u18519, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18519), c_fconj), hAPP(hAPP(c_COMBC(_u18519, tc_fun(_u18519, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18519)), hAPP(c_List_Oset(_u18519), _u18521)))), _u18520))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__filter__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__filter__map-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18522)), hAPP(c_List_Ofilter(_u18522, _u18523), hAPP(hAPP(c_List_Omap(_u18524, _u18522), _u18525), _u18526))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18524)), hAPP(c_List_Ofilter(_u18524, hAPP(c_Fun_Ocomp(_u18522, tc_HOL_Obool, _u18524, _u18523), _u18525)), _u18526))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__filter__less ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__filter__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u18527), _u18528), hAPP(c_List_Oset(_u18527), _u18529))) | hBOOL(hAPP(_u18530, _u18528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18527)), hAPP(c_List_Ofilter(_u18527, _u18530), _u18529))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18527)), _u18529))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_partition__filter__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_partition__filter__conv-1, axiom, ( ( c_List_Opartition(_u18531, _u18532, _u18533) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18531), tc_List_Olist(_u18531)), hAPP(c_List_Ofilter(_u18531, _u18532), _u18533)), hAPP(c_List_Ofilter(_u18531, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18531, c_fNot), _u18532)), _u18533))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__minus__filter__out ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__minus__filter__out-1, axiom, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18534, tc_HOL_Obool)), hAPP(c_List_Oset(_u18534), _u18535)), hAPP(hAPP(c_Set_Oinsert(_u18534), _u18536), c_Orderings_Obot__class_Obot(tc_fun(_u18534, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u18534), hAPP(c_List_Ofilter(_u18534, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18534), c_fNot), hAPP(hAPP(c_COMBC(_u18534, _u18534, tc_HOL_Obool), c_fequal), _u18536))), _u18535))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__in__sublist ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__in__sublist-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18537), _u18538)) | ( hAPP(c_List_Ofilter(_u18537, hAPP(hAPP(c_COMBC(_u18537, tc_fun(_u18537, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18537)), hAPP(c_List_Oset(_u18537), c_List_Osublist(_u18537, _u18538, _u18539)))), _u18538) = c_List_Osublist(_u18537, _u18538, _u18539)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__empty ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose__empty-1, axiom, ( ( c_List_Otranspose(_u18544, _u18546) != c_List_Olist_ONil(tc_List_Olist(_u18544))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18544)), _u18540), hAPP(c_List_Oset(tc_List_Olist(_u18544)), _u18546))) | ( _u18540 = c_List_Olist_ONil(_u18544)) )).
% 43.37/43.60 cnf(fact_transpose__empty-2, axiom, ( ( c_List_Otranspose(_u18545, _u18547) = c_List_Olist_ONil(tc_List_Olist(_u18545))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18545)), skolem471(_u18547, _u18545)), hAPP(c_List_Oset(tc_List_Olist(_u18545)), _u18547))) )).
% 43.37/43.60 cnf(fact_transpose__empty-3, axiom, ( ( c_List_Otranspose(_u18545, _u18547) = c_List_Olist_ONil(tc_List_Olist(_u18545))) | ( skolem471(_u18547, _u18545) != c_List_Olist_ONil(_u18545)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__filter__conv__card ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__filter__conv__card-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18548)), hAPP(c_List_Ofilter(_u18548, _u18549), _u18550)) = 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(_u18548)), _u18550)))), hAPP(hAPP(c_COMBB(_u18548, tc_HOL_Obool, tc_Nat_Onat), _u18549), hAPP(c_List_Onth(_u18548), _u18550)))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__aux__filter__tail ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose__aux__filter__tail-1, axiom, ( ( c_List_Oconcat(tc_List_Olist(_u18551), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18551), tc_List_Olist(tc_List_Olist(_u18551))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18551)), _u18551, c_List_Olist_ONil(tc_List_Olist(_u18551)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18551), tc_List_Olist(tc_List_Olist(_u18551))), _u18551), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18551), tc_List_Olist(tc_List_Olist(_u18551)), tc_List_Olist(tc_List_Olist(_u18551))), c_List_Olist_OCons(tc_List_Olist(_u18551))), c_List_Olist_ONil(tc_List_Olist(_u18551)))))), _u18552)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18551), tc_List_Olist(_u18551)), c_List_Otl(_u18551)), hAPP(c_List_Ofilter(tc_List_Olist(_u18551), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18551)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18551), tc_List_Olist(_u18551), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18551)))), _u18552))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose_Opsimps_I3_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose_Opsimps_I3_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18553)), c_List_Otranspose__rel(_u18553)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18553)), hAPP(hAPP(c_List_Olist_OCons(_u18553), _u18554), _u18555)), _u18556))) | ( c_List_Otranspose(_u18553, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18553)), hAPP(hAPP(c_List_Olist_OCons(_u18553), _u18554), _u18555)), _u18556)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18553)), hAPP(hAPP(c_List_Olist_OCons(_u18553), _u18554), c_List_Oconcat(_u18553, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18553), tc_List_Olist(_u18553)), c_List_Olist_Olist__case(tc_List_Olist(_u18553), _u18553, c_List_Olist_ONil(_u18553), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18553), tc_fun(tc_List_Olist(_u18553), tc_List_Olist(_u18553)), _u18553), c_COMBK(tc_List_Olist(_u18553), tc_List_Olist(_u18553))), hAPP(hAPP(c_COMBC(_u18553, tc_List_Olist(_u18553), tc_List_Olist(_u18553)), c_List_Olist_OCons(_u18553)), c_List_Olist_ONil(_u18553))))), _u18556)))), c_List_Otranspose(_u18553, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18553)), _u18555), c_List_Oconcat(tc_List_Olist(_u18553), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18553), tc_List_Olist(tc_List_Olist(_u18553))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18553)), _u18553, c_List_Olist_ONil(tc_List_Olist(_u18553)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18553), tc_List_Olist(tc_List_Olist(_u18553))), _u18553), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18553), tc_List_Olist(tc_List_Olist(_u18553)), tc_List_Olist(tc_List_Olist(_u18553))), c_List_Olist_OCons(tc_List_Olist(_u18553))), c_List_Olist_ONil(tc_List_Olist(_u18553)))))), _u18556)))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose_Opsimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose_Opsimps_I2_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18557)), c_List_Otranspose__rel(_u18557)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18557)), c_List_Olist_ONil(_u18557)), _u18558))) | ( c_List_Otranspose(_u18557, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18557)), c_List_Olist_ONil(_u18557)), _u18558)) = c_List_Otranspose(_u18557, _u18558)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublist__shift__lemma__Suc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublist__shift__lemma__Suc-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18559, tc_Nat_Onat), _u18559), c_Product__Type_Ofst(_u18559, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18559, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18559, tc_Nat_Onat)), _u18560), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u18559, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u18559, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u18559, tc_Nat_Onat), _u18561), _u18562))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18559, tc_Nat_Onat), _u18559), c_Product__Type_Ofst(_u18559, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18559, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18559, tc_Nat_Onat)), _u18560), c_Product__Type_Osnd(_u18559, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u18559, tc_Nat_Onat), _u18561), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u18562))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_select__weigth__drop__zero ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_select__weigth__drop__zero-1, axiom, ( ( c_Random_Oselect__weight(_u18563, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18563), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18563, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18563, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18563)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18564)) = c_Random_Oselect__weight(_u18563, _u18564)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_pick__drop__zero ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_pick__drop__zero-1, axiom, ( ( c_Random_Opick(_u18565, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18565), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18565, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18565, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18565)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18566)) = c_Random_Opick(_u18565, _u18566)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose_Opsimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose_Opsimps_I1_J-1, axiom, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18567)), c_List_Otranspose__rel(_u18567)), c_List_Olist_ONil(tc_List_Olist(_u18567)))) | ( c_List_Otranspose(_u18567, c_List_Olist_ONil(tc_List_Olist(_u18567))) = c_List_Olist_ONil(tc_List_Olist(_u18567))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__max__length ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose__max__length-1, axiom, ( ( c_List_Ofoldr(tc_List_Olist(_u18568), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18568)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18568))), c_List_Otranspose(_u18568, _u18569), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18568))), hAPP(c_List_Ofilter(tc_List_Olist(_u18568), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18568)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18568), tc_List_Olist(_u18568), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18568)))), _u18569))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__aux__max ( axiom ) converted to clauses:
% 43.37/43.60 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(_u18570)), _u18571))), c_List_Ofoldr(tc_List_Olist(_u18572), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18572)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18572))), _u18573, 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(_u18570)), _u18571)), c_List_Ofoldr(tc_List_Olist(_u18572), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18572)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18572), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18572)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18572)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u18572), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18572)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18572), tc_List_Olist(_u18572), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18572)))), _u18573), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldr_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldr_Osimps_I1_J-1, axiom, ( ( c_List_Ofoldr(_u18574, _u18575, _u18576, c_List_Olist_ONil(_u18574), _u18577) = _u18577) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldr_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldr_Osimps_I2_J-1, axiom, ( ( c_List_Ofoldr(_u18578, _u18579, _u18580, hAPP(hAPP(c_List_Olist_OCons(_u18578), _u18581), _u18582), _u18583) = hAPP(hAPP(_u18580, _u18581), c_List_Ofoldr(_u18578, _u18579, _u18580, _u18582, _u18583))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldr__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldr__append-1, axiom, ( ( c_List_Ofoldr(_u18584, _u18585, _u18586, hAPP(hAPP(c_List_Oappend(_u18584), _u18587), _u18588), _u18589) = c_List_Ofoldr(_u18584, _u18585, _u18586, _u18587, c_List_Ofoldr(_u18584, _u18585, _u18586, _u18588, _u18589))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldr__conv__foldl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldr__conv__foldl-1, axiom, ( ~class_Groups_Oab__semigroup__add(_u18590) | ( c_List_Ofoldr(_u18590, _u18590, c_Groups_Oplus__class_Oplus(_u18590), _u18591, _u18592) = hAPP(c_List_Ofoldl(_u18590, _u18590, c_Groups_Oplus__class_Oplus(_u18590), _u18592), _u18591)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldr__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldr__map-1, axiom, ( ( c_List_Ofoldr(_u18593, _u18594, _u18595, hAPP(hAPP(c_List_Omap(_u18596, _u18593), _u18597), _u18598), _u18599) = c_List_Ofoldr(_u18596, _u18594, hAPP(c_Fun_Ocomp(_u18593, tc_fun(_u18594, _u18594), _u18596, _u18595), _u18597), _u18598, _u18599)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__foldr1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__foldr1-1, axiom, ( ~class_Groups_Omonoid__add(_u18600) | ( hAPP(c_List_Ofoldl(_u18600, _u18600, c_Groups_Oplus__class_Oplus(_u18600), c_Groups_Ozero__class_Ozero(_u18600)), _u18601) = c_List_Ofoldr(_u18600, _u18600, c_Groups_Oplus__class_Oplus(_u18600), _u18601, c_Groups_Ozero__class_Ozero(_u18600))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__foldr1__lemma ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__foldr1__lemma-1, axiom, ( ~class_Groups_Omonoid__add(_u18602) | ( hAPP(c_List_Ofoldl(_u18602, _u18602, c_Groups_Oplus__class_Oplus(_u18602), _u18603), _u18604) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18602), _u18603), c_List_Ofoldr(_u18602, _u18602, c_Groups_Oplus__class_Oplus(_u18602), _u18604, c_Groups_Ozero__class_Ozero(_u18602)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__transpose ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__transpose-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18605))), c_List_Otranspose(_u18605, _u18606)) = c_List_Ofoldr(tc_List_Olist(_u18605), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18605)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18605))), _u18606, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublist__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublist__def-1, axiom, ( ( c_List_Osublist(_u18607, _u18608, _u18609) = hAPP(hAPP(c_List_Omap(tc_prod(_u18607, tc_Nat_Onat), _u18607), c_Product__Type_Ofst(_u18607, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18607, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18607, 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(_u18607, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18607, tc_Nat_Onat))), _u18609)), hAPP(hAPP(c_List_Ozip(_u18607, tc_Nat_Onat), _u18608), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18607)), _u18608)))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sublist__shift__lemma ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sublist__shift__lemma-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18610, tc_Nat_Onat), _u18610), c_Product__Type_Ofst(_u18610, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18610, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18610, 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(_u18610, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18610, tc_Nat_Onat))), _u18611)), hAPP(hAPP(c_List_Ozip(_u18610, tc_Nat_Onat), _u18612), c_List_Oupt(_u18613, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18613), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18610)), _u18612)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18610, tc_Nat_Onat), _u18610), c_Product__Type_Ofst(_u18610, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18610, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18610, 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(_u18610, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18610, 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(_u18610, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18610, tc_Nat_Onat))), _u18613))), _u18611)), hAPP(hAPP(c_List_Ozip(_u18610, tc_Nat_Onat), _u18612), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18610)), _u18612)))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_atLeastLessThan__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_atLeastLessThan__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18614), _u18615) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18614, _u18615))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__upt-1, axiom, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18616, _u18617)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18616), _u18617)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__upt-1, axiom, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18618, _u18619))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__add__eq__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upt__add__eq__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18620), _u18621)) | ( c_List_Oupt(_u18620, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18621), _u18622)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18620, _u18621)), c_List_Oupt(_u18621, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18621), _u18622)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__Suc ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upt__Suc-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18625), _u18627)) | ( c_List_Oupt(_u18625, hAPP(c_Nat_OSuc, _u18627)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18625, _u18627)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18627), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 43.37/43.60 cnf(fact_upt__Suc-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18626), _u18628)) | ( c_List_Oupt(_u18626, hAPP(c_Nat_OSuc, _u18628)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__Suc__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upt__Suc__append-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18629), _u18630)) | ( c_List_Oupt(_u18629, hAPP(c_Nat_OSuc, _u18630)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18629, _u18630)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18630), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_drop__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_drop__upt-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18631), c_List_Oupt(_u18632, _u18633)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18632), _u18631), _u18633)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18634), _u18635)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18634, _u18635)) = _u18634) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__rec ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upt__rec-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18638), _u18640)) | ( c_List_Oupt(_u18638, _u18640) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18638), c_List_Oupt(hAPP(c_Nat_OSuc, _u18638), _u18640))) )).
% 43.37/43.60 cnf(fact_upt__rec-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18639), _u18641)) | ( c_List_Oupt(_u18639, _u18641) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__conv__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upt__conv__Cons-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18642), _u18643)) | ( c_List_Oupt(_u18642, _u18643) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18642), c_List_Oupt(hAPP(c_Nat_OSuc, _u18642), _u18643))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_take__upt ( axiom ) converted to clauses:
% 43.37/43.60 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), _u18644), _u18645)), _u18646)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18645), c_List_Oupt(_u18644, _u18646)) = c_List_Oupt(_u18644, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18644), _u18645))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__list__of__set__range ( axiom ) converted to clauses:
% 43.37/43.60 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, _u18647), _u18648)) = c_List_Oupt(_u18647, _u18648)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__conv__Nil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upt__conv__Nil-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18649), _u18650)) | ( c_List_Oupt(_u18650, _u18649) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__eq__Nil__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upt__eq__Nil__conv-1, axiom, ( ( c_List_Oupt(_u18653, _u18655) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18655 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18655), _u18653)) )).
% 43.37/43.60 cnf(fact_upt__eq__Nil__conv-2, axiom, ( ( c_List_Oupt(_u18654, _u18656) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18656 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60 cnf(fact_upt__eq__Nil__conv-3, axiom, ( ( c_List_Oupt(_u18654, _u18656) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18656), _u18654)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__0 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upt__0-1, axiom, ( ( c_List_Oupt(_u18657, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__upt-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18658, _u18659)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18659), _u18658)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__rec__number__of ( axiom ) converted to clauses:
% 43.37/43.60 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), _u18662)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18664))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18662), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18664)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18662)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18662)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18664)))) )).
% 43.37/43.60 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), _u18663)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18665))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18663), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18665)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_upt__eq__Cons__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_upt__eq__Cons__conv-1, axiom, ( ( c_List_Oupt(_u18670, _u18672) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18674), _u18676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18670), _u18672)) )).
% 43.37/43.60 cnf(fact_upt__eq__Cons__conv-2, axiom, ( ( c_List_Oupt(_u18670, _u18672) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18674), _u18676)) | ( _u18670 = _u18674) )).
% 43.37/43.60 cnf(fact_upt__eq__Cons__conv-3, axiom, ( ( c_List_Oupt(_u18670, _u18672) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18674), _u18676)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18670), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18672) = _u18676) )).
% 43.37/43.60 cnf(fact_upt__eq__Cons__conv-4, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18671), _u18673)) | ( _u18671 != _u18675) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18671), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18673) != _u18677) | ( c_List_Oupt(_u18671, _u18673) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18675), _u18677)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18678), _u18679)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18678, _u18679)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18679), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__Suc__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__Suc__upt-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18680, _u18681)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18680), hAPP(c_Nat_OSuc, _u18681))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_atLeastAtMost__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_atLeastAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18682, _u18683) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18682, hAPP(c_Nat_OSuc, _u18683)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_atLeast__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_atLeast__upt-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18684) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18684))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__upt ( axiom ) converted to clauses:
% 43.37/43.60 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), _u18685), _u18686)), _u18687)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18685, _u18687)), _u18686) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18685), _u18686)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_greaterThanAtMost__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_greaterThanAtMost__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18688, _u18689) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18688), hAPP(c_Nat_OSuc, _u18689)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_greaterThanLessThan__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_greaterThanLessThan__upt-1, axiom, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18690, _u18691) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18690), _u18691))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_atMost__upto ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_atMost__upto-1, axiom, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18692) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18692)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__nth-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18693), hAPP(c_List_Onth(_u18693), _u18694)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18693)), _u18694))) = _u18694) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_interv__listsum__conv__setsum__set__nat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_interv__listsum__conv__setsum__set__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18695) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18695), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18695), _u18696), c_List_Oupt(_u18697, _u18698))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18695), _u18696), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18697, _u18698)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_setsum__set__upt__conv__listsum__nat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_setsum__set__upt__conv__listsum__nat-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18699) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18699), _u18700), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18701, _u18702))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18699), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18699), _u18700), c_List_Oupt(_u18701, _u18702)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__map__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_nth__map__upt-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18703), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18704), _u18705))) | ( hAPP(hAPP(c_List_Onth(_u18706), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18706), _u18707), c_List_Oupt(_u18705, _u18704))), _u18703) = hAPP(_u18707, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18705), _u18703))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__rectangle ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transpose__rectangle-1, axiom, ( ( _u18709 = c_List_Olist_ONil(tc_List_Olist(_u18710))) | ( c_List_Otranspose(_u18710, _u18709) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18710), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18710)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18710), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18710), tc_fun(tc_Nat_Onat, _u18710), tc_Nat_Onat), c_List_Onth(_u18710)), hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem472(_u18711, _u18710, _u18709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709))) )).
% 43.37/43.60 cnf(fact_transpose__rectangle-2, axiom, ( ( _u18709 = c_List_Olist_ONil(tc_List_Olist(_u18710))) | ( c_List_Otranspose(_u18710, _u18709) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18710), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18710)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18710), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18710), tc_fun(tc_Nat_Onat, _u18710), tc_Nat_Onat), c_List_Onth(_u18710)), hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18711))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18710)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709), skolem472(_u18711, _u18710, _u18709))) != _u18711) )).
% 43.37/43.60 cnf(fact_transpose__rectangle-3, axiom, ( ( _u18711 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18710, _u18709) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18710), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18710)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18710), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18710), tc_fun(tc_Nat_Onat, _u18710), tc_Nat_Onat), c_List_Onth(_u18710)), hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem472(_u18711, _u18710, _u18709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709))) )).
% 43.37/43.60 cnf(fact_transpose__rectangle-4, axiom, ( ( _u18711 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18710, _u18709) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18710), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18710)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18710), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18710), tc_fun(tc_Nat_Onat, _u18710), tc_Nat_Onat), c_List_Onth(_u18710)), hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18711))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18710)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709), skolem472(_u18711, _u18710, _u18709))) != _u18711) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__key__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__key__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18712) | ~hBOOL(hAPP(hAPP(c_member(_u18713), _u18714), hAPP(c_List_Oset(_u18713), _u18715))) | ~c_List_Olinorder__class_Osorted(_u18712, hAPP(hAPP(c_List_Omap(_u18713, _u18712), _u18716), _u18715)) | ( hAPP(c_List_Ohd(_u18713), hAPP(c_List_Ofilter(_u18713, hAPP(hAPP(c_COMBB(_u18712, tc_HOL_Obool, _u18713), hAPP(c_fequal, hAPP(_u18716, _u18714))), _u18716)), _u18715)) != _u18714) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18713, _u18712, _u18716), _u18714), c_List_Oremove1(_u18713, _u18714, _u18715)) = _u18715) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted_ONil ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted_ONil-1, axiom, ( ~class_Orderings_Olinorder(_u18717) | c_List_Olinorder__class_Osorted(_u18717, c_List_Olist_ONil(_u18717)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__single ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__single-1, axiom, ( ~class_Orderings_Olinorder(_u18718) | c_List_Olinorder__class_Osorted(_u18718, hAPP(hAPP(c_List_Olist_OCons(_u18718), _u18719), c_List_Olist_ONil(_u18718))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__upt ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__upt-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18720, _u18721)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__sort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__sort-1, axiom, ( ~class_Orderings_Olinorder(_u18722) | c_List_Olinorder__class_Osorted(_u18722, c_List_Olinorder__class_Osort__key(_u18722, _u18722, c_COMBI(_u18722), _u18723)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__insort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18724) | ~c_List_Olinorder__class_Osorted(_u18724, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18724, _u18724, c_COMBI(_u18724)), _u18725), _u18726)) | c_List_Olinorder__class_Osorted(_u18724, _u18726) )).
% 43.37/43.60 cnf(fact_sorted__insort-2, axiom, ( ~class_Orderings_Olinorder(_u18724) | ~c_List_Olinorder__class_Osorted(_u18724, _u18726) | c_List_Olinorder__class_Osorted(_u18724, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18724, _u18724, c_COMBI(_u18724)), _u18725), _u18726)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__tl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__tl-1, axiom, ( ~class_Orderings_Olinorder(_u18727) | ~c_List_Olinorder__class_Osorted(_u18727, _u18728) | c_List_Olinorder__class_Osorted(_u18727, hAPP(c_List_Otl(_u18727), _u18728)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted_Oequations_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted_Oequations_I1_J-1, axiom, ( ~class_Orderings_Olinorder(_u18729) | c_List_Olinorder__class_Osorted(_u18729, c_List_Olist_ONil(_u18729)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__butlast ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__butlast-1, axiom, ( ~class_Orderings_Olinorder(_u18730) | ( _u18731 = c_List_Olist_ONil(_u18730)) | ~c_List_Olinorder__class_Osorted(_u18730, _u18731) | c_List_Olinorder__class_Osorted(_u18730, c_List_Obutlast(_u18730, _u18731)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__take-1, axiom, ( ~class_Orderings_Olinorder(_u18732) | ~c_List_Olinorder__class_Osorted(_u18732, _u18733) | c_List_Olinorder__class_Osorted(_u18732, hAPP(hAPP(c_List_Otake(_u18732), _u18734), _u18733)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__upto ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__upto-1, axiom, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18735, _u18736)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18737) | ~c_List_Olinorder__class_Osorted(_u18737, _u18738) | c_List_Olinorder__class_Osorted(_u18737, c_List_Oremove1(_u18737, _u18739, _u18738)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__many__eq ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__many__eq-1, axiom, ( ~class_Orderings_Olinorder(_u18740) | ~c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18741), hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18740), _u18741), _u18742)) )).
% 43.37/43.60 cnf(fact_sorted__many__eq-2, axiom, ( ~class_Orderings_Olinorder(_u18740) | ~c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18741), hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743))) | c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743)) )).
% 43.37/43.60 cnf(fact_sorted__many__eq-3, axiom, ( ~class_Orderings_Olinorder(_u18740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18740), _u18741), _u18742)) | ~c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743)) | c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18741), hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__many ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__many-1, axiom, ( ~class_Orderings_Olinorder(_u18744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18744), _u18745), _u18746)) | ~c_List_Olinorder__class_Osorted(_u18744, hAPP(hAPP(c_List_Olist_OCons(_u18744), _u18746), _u18747)) | c_List_Olinorder__class_Osorted(_u18744, hAPP(hAPP(c_List_Olist_OCons(_u18744), _u18745), hAPP(hAPP(c_List_Olist_OCons(_u18744), _u18746), _u18747))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__drop-1, axiom, ( ~class_Orderings_Olinorder(_u18748) | ~c_List_Olinorder__class_Osorted(_u18748, _u18749) | c_List_Olinorder__class_Osorted(_u18748, hAPP(hAPP(c_List_Odrop(_u18748), _u18750), _u18749)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__insort__insert ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__insort__insert-1, axiom, ( ~class_Orderings_Olinorder(_u18751) | ~c_List_Olinorder__class_Osorted(_u18751, _u18752) | c_List_Olinorder__class_Osorted(_u18751, c_List_Olinorder__class_Oinsort__insert__key(_u18751, _u18751, c_COMBI(_u18751), _u18753, _u18752)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__remdups ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__remdups-1, axiom, ( ~class_Orderings_Olinorder(_u18754) | ~c_List_Olinorder__class_Osorted(_u18754, _u18755) | c_List_Olinorder__class_Osorted(_u18754, c_List_Oremdups(_u18754, _u18755)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__distinct__set__unique ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18756) | ~c_List_Olinorder__class_Osorted(_u18756, _u18757) | ~hBOOL(hAPP(c_List_Odistinct(_u18756), _u18757)) | ~c_List_Olinorder__class_Osorted(_u18756, _u18758) | ~hBOOL(hAPP(c_List_Odistinct(_u18756), _u18758)) | ( hAPP(c_List_Oset(_u18756), _u18757) != hAPP(c_List_Oset(_u18756), _u18758)) | ( _u18757 = _u18758) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__sort__key ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__sort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18759) | c_List_Olinorder__class_Osorted(_u18759, hAPP(hAPP(c_List_Omap(_u18760, _u18759), _u18761), c_List_Olinorder__class_Osort__key(_u18760, _u18759, _u18761, _u18762))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__insort__insert__key ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__insort__insert__key-1, axiom, ( ~class_Orderings_Olinorder(_u18763) | ~c_List_Olinorder__class_Osorted(_u18763, hAPP(hAPP(c_List_Omap(_u18764, _u18763), _u18765), _u18766)) | c_List_Olinorder__class_Osorted(_u18763, hAPP(hAPP(c_List_Omap(_u18764, _u18763), _u18765), c_List_Olinorder__class_Oinsort__insert__key(_u18764, _u18763, _u18765, _u18767, _u18766))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__map__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__map__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18768) | ~c_List_Olinorder__class_Osorted(_u18768, hAPP(hAPP(c_List_Omap(_u18769, _u18768), _u18770), _u18771)) | c_List_Olinorder__class_Osorted(_u18768, hAPP(hAPP(c_List_Omap(_u18769, _u18768), _u18770), c_List_Oremove1(_u18769, _u18772, _u18771))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__insort__key ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__insort__key-1, axiom, ( ~class_Orderings_Olinorder(_u18773) | ~c_List_Olinorder__class_Osorted(_u18773, hAPP(hAPP(c_List_Omap(_u18774, _u18773), _u18775), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18774, _u18773, _u18775), _u18776), _u18777))) | c_List_Olinorder__class_Osorted(_u18773, hAPP(hAPP(c_List_Omap(_u18774, _u18773), _u18775), _u18777)) )).
% 43.37/43.60 cnf(fact_sorted__insort__key-2, axiom, ( ~class_Orderings_Olinorder(_u18773) | ~c_List_Olinorder__class_Osorted(_u18773, hAPP(hAPP(c_List_Omap(_u18774, _u18773), _u18775), _u18777)) | c_List_Olinorder__class_Osorted(_u18773, hAPP(hAPP(c_List_Omap(_u18774, _u18773), _u18775), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18774, _u18773, _u18775), _u18776), _u18777))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__map__same ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__map__same-1, axiom, ( ~class_Orderings_Olinorder(_u18778) | c_List_Olinorder__class_Osorted(_u18778, hAPP(hAPP(c_List_Omap(_u18779, _u18778), _u18780), hAPP(c_List_Ofilter(_u18779, hAPP(hAPP(c_COMBC(_u18779, _u18778, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18778, tc_fun(_u18778, tc_HOL_Obool), _u18779), c_fequal), _u18780)), hAPP(_u18781, _u18782))), _u18782))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__filter ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__filter-1, axiom, ( ~class_Orderings_Olinorder(_u18783) | ~c_List_Olinorder__class_Osorted(_u18783, hAPP(hAPP(c_List_Omap(_u18784, _u18783), _u18785), _u18786)) | c_List_Olinorder__class_Osorted(_u18783, hAPP(hAPP(c_List_Omap(_u18784, _u18783), _u18785), hAPP(c_List_Ofilter(_u18784, _u18787), _u18786))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__same ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__same-1, axiom, ( ~class_Orderings_Olinorder(_u18788) | c_List_Olinorder__class_Osorted(_u18788, hAPP(c_List_Ofilter(_u18788, hAPP(hAPP(c_COMBC(_u18788, _u18788, tc_HOL_Obool), c_fequal), hAPP(_u18789, _u18790))), _u18790)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__Cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u18793) | ~c_List_Olinorder__class_Osorted(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795)) | c_List_Olinorder__class_Osorted(_u18793, _u18795) )).
% 43.37/43.60 cnf(fact_sorted__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u18793) | ~c_List_Olinorder__class_Osorted(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795)) | ~hBOOL(hAPP(hAPP(c_member(_u18793), _u18791), hAPP(c_List_Oset(_u18793), _u18795))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18793), _u18794), _u18791)) )).
% 43.37/43.60 cnf(fact_sorted__Cons-3, axiom, ( ~class_Orderings_Olinorder(_u18793) | c_List_Olinorder__class_Osorted(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795)) | ~c_List_Olinorder__class_Osorted(_u18793, _u18795) | hBOOL(hAPP(hAPP(c_member(_u18793), skolem473(_u18795, _u18794, _u18793)), hAPP(c_List_Oset(_u18793), _u18795))) )).
% 43.37/43.60 cnf(fact_sorted__Cons-4, axiom, ( ~class_Orderings_Olinorder(_u18793) | c_List_Olinorder__class_Osorted(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795)) | ~c_List_Olinorder__class_Osorted(_u18793, _u18795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18793), _u18794), skolem473(_u18795, _u18794, _u18793))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__append-1, axiom, ( ~class_Orderings_Olinorder(_u18800) | ~c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | c_List_Olinorder__class_Osorted(_u18800, _u18801) )).
% 43.37/43.60 cnf(fact_sorted__append-2, axiom, ( ~class_Orderings_Olinorder(_u18800) | ~c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | c_List_Olinorder__class_Osorted(_u18800, _u18802) )).
% 43.37/43.60 cnf(fact_sorted__append-3, axiom, ( ~class_Orderings_Olinorder(_u18800) | ~c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | ~hBOOL(hAPP(hAPP(c_member(_u18800), _u18797), hAPP(c_List_Oset(_u18800), _u18801))) | ~hBOOL(hAPP(hAPP(c_member(_u18800), _u18796), hAPP(c_List_Oset(_u18800), _u18802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18800), _u18797), _u18796)) )).
% 43.37/43.60 cnf(fact_sorted__append-4, axiom, ( ~class_Orderings_Olinorder(_u18800) | c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | ~c_List_Olinorder__class_Osorted(_u18800, _u18801) | ~c_List_Olinorder__class_Osorted(_u18800, _u18802) | hBOOL(hAPP(hAPP(c_member(_u18800), skolem474(_u18802, _u18801, _u18800)), hAPP(c_List_Oset(_u18800), _u18801))) )).
% 43.37/43.60 cnf(fact_sorted__append-5, axiom, ( ~class_Orderings_Olinorder(_u18800) | c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | ~c_List_Olinorder__class_Osorted(_u18800, _u18801) | ~c_List_Olinorder__class_Osorted(_u18800, _u18802) | hBOOL(hAPP(hAPP(c_member(_u18800), skolem475(_u18802, _u18801, _u18800)), hAPP(c_List_Oset(_u18800), _u18802))) )).
% 43.37/43.60 cnf(fact_sorted__append-6, axiom, ( ~class_Orderings_Olinorder(_u18800) | c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | ~c_List_Olinorder__class_Osorted(_u18800, _u18801) | ~c_List_Olinorder__class_Osorted(_u18800, _u18802) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18800), skolem474(_u18802, _u18801, _u18800)), skolem475(_u18802, _u18801, _u18800))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__insort ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__insort-1, axiom, ( ~class_Orderings_Olinorder(_u18803) | ~c_List_Olinorder__class_Osorted(_u18803, hAPP(hAPP(c_List_Omap(_u18804, _u18803), _u18805), _u18806)) | ~hBOOL(hAPP(_u18807, _u18808)) | ( hAPP(c_List_Ofilter(_u18804, _u18807), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18804, _u18803, _u18805), _u18808), _u18806)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18804, _u18803, _u18805), _u18808), hAPP(c_List_Ofilter(_u18804, _u18807), _u18806))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted_Oequations_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted_Oequations_I2_J-1, axiom, ( ~class_Orderings_Olinorder(_u18811) | ~c_List_Olinorder__class_Osorted(_u18811, hAPP(hAPP(c_List_Olist_OCons(_u18811), _u18812), _u18813)) | ~hBOOL(hAPP(hAPP(c_member(_u18811), _u18809), hAPP(c_List_Oset(_u18811), _u18813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18811), _u18812), _u18809)) )).
% 43.37/43.60 cnf(fact_sorted_Oequations_I2_J-2, axiom, ( ~class_Orderings_Olinorder(_u18811) | ~c_List_Olinorder__class_Osorted(_u18811, hAPP(hAPP(c_List_Olist_OCons(_u18811), _u18812), _u18813)) | c_List_Olinorder__class_Osorted(_u18811, _u18813) )).
% 43.37/43.60 cnf(fact_sorted_Oequations_I2_J-3, axiom, ( ~class_Orderings_Olinorder(_u18811) | c_List_Olinorder__class_Osorted(_u18811, hAPP(hAPP(c_List_Olist_OCons(_u18811), _u18812), _u18813)) | ~c_List_Olinorder__class_Osorted(_u18811, _u18813) | hBOOL(hAPP(hAPP(c_member(_u18811), skolem476(_u18813, _u18812, _u18811)), hAPP(c_List_Oset(_u18811), _u18813))) )).
% 43.37/43.60 cnf(fact_sorted_Oequations_I2_J-4, axiom, ( ~class_Orderings_Olinorder(_u18811) | c_List_Olinorder__class_Osorted(_u18811, hAPP(hAPP(c_List_Olist_OCons(_u18811), _u18812), _u18813)) | ~c_List_Olinorder__class_Osorted(_u18811, _u18813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18811), _u18812), skolem476(_u18813, _u18812, _u18811))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__list__of__set ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__list__of__set-1, axiom, ( ~class_Orderings_Olinorder(_u18814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18814), _u18815)) | ( hAPP(c_List_Oset(_u18814), c_List_Olinorder__class_Osorted__list__of__set(_u18814, _u18815)) = _u18815) )).
% 43.37/43.60 cnf(fact_sorted__list__of__set-2, axiom, ( ~class_Orderings_Olinorder(_u18814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18814), _u18815)) | c_List_Olinorder__class_Osorted(_u18814, c_List_Olinorder__class_Osorted__list__of__set(_u18814, _u18815)) )).
% 43.37/43.60 cnf(fact_sorted__list__of__set-3, axiom, ( ~class_Orderings_Olinorder(_u18814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18814), _u18815)) | hBOOL(hAPP(c_List_Odistinct(_u18814), c_List_Olinorder__class_Osorted__list__of__set(_u18814, _u18815))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_insort__remove1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_insort__remove1-1, axiom, ( ~class_Orderings_Olinorder(_u18816) | ~hBOOL(hAPP(hAPP(c_member(_u18816), _u18817), hAPP(c_List_Oset(_u18816), _u18818))) | ~c_List_Olinorder__class_Osorted(_u18816, _u18818) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18816, _u18816, c_COMBI(_u18816)), _u18817), c_List_Oremove1(_u18816, _u18817, _u18818)) = _u18818) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__equals__nth__mono ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__equals__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18823) | ~c_List_Olinorder__class_Osorted(_u18823, _u18824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18820), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18823)), _u18824))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18819), _u18820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18823), hAPP(hAPP(c_List_Onth(_u18823), _u18824), _u18819)), hAPP(hAPP(c_List_Onth(_u18823), _u18824), _u18820))) )).
% 43.37/43.60 cnf(fact_sorted__equals__nth__mono-2, axiom, ( ~class_Orderings_Olinorder(_u18823) | c_List_Olinorder__class_Osorted(_u18823, _u18824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18824, _u18823)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18823)), _u18824))) )).
% 43.37/43.60 cnf(fact_sorted__equals__nth__mono-3, axiom, ( ~class_Orderings_Olinorder(_u18823) | c_List_Olinorder__class_Osorted(_u18823, _u18824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem478(_u18824, _u18823)), skolem477(_u18824, _u18823))) )).
% 43.37/43.60 cnf(fact_sorted__equals__nth__mono-4, axiom, ( ~class_Orderings_Olinorder(_u18823) | c_List_Olinorder__class_Osorted(_u18823, _u18824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18823), hAPP(hAPP(c_List_Onth(_u18823), _u18824), skolem478(_u18824, _u18823))), hAPP(hAPP(c_List_Onth(_u18823), _u18824), skolem477(_u18824, _u18823)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__nth__mono ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u18825) | ~c_List_Olinorder__class_Osorted(_u18825, _u18826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18827), _u18828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18828), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18825)), _u18826))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18825), hAPP(hAPP(c_List_Onth(_u18825), _u18826), _u18827)), hAPP(hAPP(c_List_Onth(_u18825), _u18826), _u18828))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_map__sorted__distinct__set__unique ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_map__sorted__distinct__set__unique-1, axiom, ( ~class_Orderings_Olinorder(_u18829) | ~c_Fun_Oinj__on(_u18830, _u18829, _u18831, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18830, tc_HOL_Obool)), hAPP(c_List_Oset(_u18830), _u18832)), hAPP(c_List_Oset(_u18830), _u18833))) | ~c_List_Olinorder__class_Osorted(_u18829, hAPP(hAPP(c_List_Omap(_u18830, _u18829), _u18831), _u18832)) | ~hBOOL(hAPP(c_List_Odistinct(_u18829), hAPP(hAPP(c_List_Omap(_u18830, _u18829), _u18831), _u18832))) | ~c_List_Olinorder__class_Osorted(_u18829, hAPP(hAPP(c_List_Omap(_u18830, _u18829), _u18831), _u18833)) | ~hBOOL(hAPP(c_List_Odistinct(_u18829), hAPP(hAPP(c_List_Omap(_u18830, _u18829), _u18831), _u18833))) | ( hAPP(c_List_Oset(_u18830), _u18832) != hAPP(c_List_Oset(_u18830), _u18833)) | ( _u18832 = _u18833) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__column ( axiom ) converted to clauses:
% 43.37/43.60 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(_u18834), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18834))), _u18835))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18836), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18834))), _u18835))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18834), _u18834), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18834), tc_Nat_Onat, _u18834), c_List_Onth(_u18834)), _u18836)), hAPP(c_List_Ofilter(tc_List_Olist(_u18834), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18834)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18836)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18834)))), c_List_Otranspose(_u18834, _u18835))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18834)), _u18835), _u18836)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__nth__transpose__sorted ( axiom ) converted to clauses:
% 43.37/43.60 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(_u18837), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18837))), _u18838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18837))), c_List_Otranspose(_u18837, _u18838)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18840), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18837))), hAPP(c_List_Ofilter(tc_List_Olist(_u18837), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18837)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18839)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18837)))), _u18838)))) | ( hAPP(hAPP(c_List_Onth(_u18837), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18837)), c_List_Otranspose(_u18837, _u18838)), _u18839)), _u18840) = hAPP(hAPP(c_List_Onth(_u18837), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18837)), _u18838), _u18840)), _u18839)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_inj__on__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_inj__on__rev-1, axiom, ( c_Fun_Oinj__on(tc_List_Olist(_u18841), tc_List_Olist(_u18841), c_List_Orev(_u18841), _u18842) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__is__Nil__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__is__Nil__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18845), _u18847) != c_List_Olist_ONil(_u18845)) | ( _u18847 = c_List_Olist_ONil(_u18845)) )).
% 43.37/43.60 cnf(fact_rev__is__Nil__conv-2, axiom, ( ( _u18848 != c_List_Olist_ONil(_u18846)) | ( hAPP(c_List_Orev(_u18846), _u18848) = c_List_Olist_ONil(_u18846)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_Nil__is__rev__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_Nil__is__rev__conv-1, axiom, ( ( c_List_Olist_ONil(_u18851) != hAPP(c_List_Orev(_u18851), _u18853)) | ( _u18853 = c_List_Olist_ONil(_u18851)) )).
% 43.37/43.60 cnf(fact_Nil__is__rev__conv-2, axiom, ( ( _u18854 != c_List_Olist_ONil(_u18852)) | ( c_List_Olist_ONil(_u18852) = hAPP(c_List_Orev(_u18852), _u18854)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_Orev(_u18855), c_List_Olist_ONil(_u18855)) = c_List_Olist_ONil(_u18855)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_singleton__rev__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_singleton__rev__conv-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18859), _u18861), c_List_Olist_ONil(_u18859)) != hAPP(c_List_Orev(_u18859), _u18863)) | ( _u18863 = hAPP(hAPP(c_List_Olist_OCons(_u18859), _u18861), c_List_Olist_ONil(_u18859))) )).
% 43.37/43.60 cnf(fact_singleton__rev__conv-2, axiom, ( ( _u18864 != hAPP(hAPP(c_List_Olist_OCons(_u18860), _u18862), c_List_Olist_ONil(_u18860))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18860), _u18862), c_List_Olist_ONil(_u18860)) = hAPP(c_List_Orev(_u18860), _u18864)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__singleton__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__singleton__conv-1, axiom, ( ( hAPP(c_List_Orev(_u18868), _u18870) != hAPP(hAPP(c_List_Olist_OCons(_u18868), _u18872), c_List_Olist_ONil(_u18868))) | ( _u18870 = hAPP(hAPP(c_List_Olist_OCons(_u18868), _u18872), c_List_Olist_ONil(_u18868))) )).
% 43.37/43.60 cnf(fact_rev__singleton__conv-2, axiom, ( ( _u18871 != hAPP(hAPP(c_List_Olist_OCons(_u18869), _u18873), c_List_Olist_ONil(_u18869))) | ( hAPP(c_List_Orev(_u18869), _u18871) = hAPP(hAPP(c_List_Olist_OCons(_u18869), _u18873), c_List_Olist_ONil(_u18869))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__append ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__append-1, axiom, ( ( hAPP(c_List_Orev(_u18874), hAPP(hAPP(c_List_Oappend(_u18874), _u18875), _u18876)) = hAPP(hAPP(c_List_Oappend(_u18874), hAPP(c_List_Orev(_u18874), _u18876)), hAPP(c_List_Orev(_u18874), _u18875))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18879), hAPP(c_List_Orev(_u18879), _u18881))) | hBOOL(hAPP(c_List_Odistinct(_u18879), _u18881)) )).
% 43.37/43.60 cnf(fact_distinct__rev-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u18880), _u18882)) | hBOOL(hAPP(c_List_Odistinct(_u18880), hAPP(c_List_Orev(_u18880), _u18882))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__concat ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__concat-1, axiom, ( ( hAPP(c_List_Orev(_u18883), c_List_Oconcat(_u18883, _u18884)) = c_List_Oconcat(_u18883, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18883), tc_List_Olist(_u18883)), c_List_Orev(_u18883)), hAPP(c_List_Orev(tc_List_Olist(_u18883)), _u18884)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__map-1, axiom, ( ( hAPP(c_List_Orev(_u18885), hAPP(hAPP(c_List_Omap(_u18886, _u18885), _u18887), _u18888)) = hAPP(hAPP(c_List_Omap(_u18886, _u18885), _u18887), hAPP(c_List_Orev(_u18886), _u18888))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__filter ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__filter-1, axiom, ( ( hAPP(c_List_Orev(_u18889), hAPP(c_List_Ofilter(_u18889, _u18890), _u18891)) = hAPP(c_List_Ofilter(_u18889, _u18890), hAPP(c_List_Orev(_u18889), _u18891))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18892)), _u18893) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18894)), _u18895)) | ( hAPP(hAPP(c_List_Ozip(_u18892, _u18894), hAPP(c_List_Orev(_u18892), _u18893)), hAPP(c_List_Orev(_u18894), _u18895)) = hAPP(c_List_Orev(tc_prod(_u18892, _u18894)), hAPP(hAPP(c_List_Ozip(_u18892, _u18894), _u18893), _u18895))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__rev-1, axiom, ( ( hAPP(c_List_Oset(_u18896), hAPP(c_List_Orev(_u18896), _u18897)) = hAPP(c_List_Oset(_u18896), _u18897)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_listsum__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_listsum__rev-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u18898) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18898), hAPP(c_List_Orev(_u18898), _u18899)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18898), _u18899)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__is__rev__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__is__rev__conv-1, axiom, ( ( _u18905 = _u18907) | ( hAPP(c_List_Orev(_u18903), _u18905) != hAPP(c_List_Orev(_u18903), _u18907)) )).
% 43.37/43.60 cnf(fact_rev__is__rev__conv-2, axiom, ( ( _u18906 != _u18908) | ( hAPP(c_List_Orev(_u18904), _u18906) = hAPP(c_List_Orev(_u18904), _u18908)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__swap ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__swap-1, axiom, ( ( hAPP(c_List_Orev(_u18912), _u18914) != _u18916) | ( _u18914 = hAPP(c_List_Orev(_u18912), _u18916)) )).
% 43.37/43.60 cnf(fact_rev__swap-2, axiom, ( ( _u18915 != hAPP(c_List_Orev(_u18913), _u18917)) | ( hAPP(c_List_Orev(_u18913), _u18915) = _u18917) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__rev__ident ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__rev__ident-1, axiom, ( ( hAPP(c_List_Orev(_u18918), hAPP(c_List_Orev(_u18918), _u18919)) = _u18919) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_length__rev-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18920)), hAPP(c_List_Orev(_u18920), _u18921)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18920)), _u18921)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__rev1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__rev1-1, axiom, ( ~c_List_Olist__all2(_u18927, _u18929, _u18931, hAPP(c_List_Orev(_u18927), _u18933), _u18935) | c_List_Olist__all2(_u18927, _u18929, _u18931, _u18933, hAPP(c_List_Orev(_u18929), _u18935)) )).
% 43.37/43.60 cnf(fact_list__all2__rev1-2, axiom, ( ~c_List_Olist__all2(_u18928, _u18930, _u18932, _u18934, hAPP(c_List_Orev(_u18930), _u18936)) | c_List_Olist__all2(_u18928, _u18930, _u18932, hAPP(c_List_Orev(_u18928), _u18934), _u18936) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_list__all2__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_list__all2__rev-1, axiom, ( ~c_List_Olist__all2(_u18942, _u18944, _u18946, hAPP(c_List_Orev(_u18942), _u18948), hAPP(c_List_Orev(_u18944), _u18950)) | c_List_Olist__all2(_u18942, _u18944, _u18946, _u18948, _u18950) )).
% 43.37/43.60 cnf(fact_list__all2__rev-2, axiom, ( ~c_List_Olist__all2(_u18943, _u18945, _u18947, _u18949, _u18951) | c_List_Olist__all2(_u18943, _u18945, _u18947, hAPP(c_List_Orev(_u18943), _u18949), hAPP(c_List_Orev(_u18945), _u18951)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldl__foldr ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldl__foldr-1, axiom, ( ( hAPP(c_List_Ofoldl(_u18952, _u18953, _u18954, _u18955), _u18956) = c_List_Ofoldr(_u18953, _u18952, hAPP(c_COMBC(_u18952, _u18953, _u18952), _u18954), hAPP(c_List_Orev(_u18953), _u18956), _u18955)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldr__foldl ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldr__foldl-1, axiom, ( ( c_List_Ofoldr(_u18957, _u18958, _u18959, _u18960, _u18961) = hAPP(c_List_Ofoldl(_u18958, _u18957, hAPP(c_COMBC(_u18957, _u18958, _u18958), _u18959), _u18961), hAPP(c_List_Orev(_u18957), _u18960))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev_Osimps_I2_J-1, axiom, ( ( hAPP(c_List_Orev(_u18962), hAPP(hAPP(c_List_Olist_OCons(_u18962), _u18963), _u18964)) = hAPP(hAPP(c_List_Oappend(_u18962), hAPP(c_List_Orev(_u18962), _u18964)), hAPP(hAPP(c_List_Olist_OCons(_u18962), _u18963), c_List_Olist_ONil(_u18962)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__eq__Cons__iff ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Orev(_u18969), _u18971) != hAPP(hAPP(c_List_Olist_OCons(_u18969), _u18973), _u18975)) | ( _u18971 = hAPP(hAPP(c_List_Oappend(_u18969), hAPP(c_List_Orev(_u18969), _u18975)), hAPP(hAPP(c_List_Olist_OCons(_u18969), _u18973), c_List_Olist_ONil(_u18969)))) )).
% 43.37/43.60 cnf(fact_rev__eq__Cons__iff-2, axiom, ( ( _u18972 != hAPP(hAPP(c_List_Oappend(_u18970), hAPP(c_List_Orev(_u18970), _u18976)), hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18974), c_List_Olist_ONil(_u18970)))) | ( hAPP(c_List_Orev(_u18970), _u18972) = hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18974), _u18976)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_last__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_last__rev-1, axiom, ( ( _u18977 = c_List_Olist_ONil(_u18978)) | ( c_List_Olast(_u18978, hAPP(c_List_Orev(_u18978), _u18977)) = hAPP(c_List_Ohd(_u18978), _u18977)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__rev-1, axiom, ( ( _u18979 = c_List_Olist_ONil(_u18980)) | ( hAPP(c_List_Ohd(_u18980), hAPP(c_List_Orev(_u18980), _u18979)) = c_List_Olast(_u18980, _u18979)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__transpose ( axiom ) converted to clauses:
% 43.37/43.60 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(_u18981), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18981))), c_List_Otranspose(_u18981, _u18982)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__foldl__cons ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__foldl__cons-1, axiom, ( ( hAPP(c_List_Orev(_u18983), _u18984) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18983), _u18983, hAPP(c_COMBC(_u18983, tc_List_Olist(_u18983), tc_List_Olist(_u18983)), c_List_Olist_OCons(_u18983)), c_List_Olist_ONil(_u18983)), _u18984)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__drop ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__drop-1, axiom, ( ( hAPP(c_List_Orev(_u18985), hAPP(hAPP(c_List_Odrop(_u18985), _u18986), _u18987)) = hAPP(hAPP(c_List_Otake(_u18985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18985)), _u18987)), _u18986)), hAPP(c_List_Orev(_u18985), _u18987))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__take-1, axiom, ( ( hAPP(c_List_Orev(_u18988), hAPP(hAPP(c_List_Otake(_u18988), _u18989), _u18990)) = hAPP(hAPP(c_List_Odrop(_u18988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18988)), _u18990)), _u18989)), hAPP(c_List_Orev(_u18988), _u18990))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rotate__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rotate__rev-1, axiom, ( ( hAPP(c_List_Orotate(_u18991, _u18992), hAPP(c_List_Orev(_u18991), _u18993)) = hAPP(c_List_Orev(_u18991), hAPP(c_List_Orotate(_u18991, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18991)), _u18993)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18992, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18991)), _u18993)))), _u18993))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18994), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18995)), _u18996))) | ( hAPP(hAPP(c_List_Onth(_u18995), hAPP(c_List_Orev(_u18995), _u18996)), _u18994) = hAPP(hAPP(c_List_Onth(_u18995), _u18996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18995)), _u18996)), hAPP(c_Nat_OSuc, _u18994)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_rev__update ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_rev__update-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18997), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18998)), _u18999))) | ( hAPP(c_List_Orev(_u18998), hAPP(hAPP(c_List_Olist__update(_u18998, _u18999), _u18997), _u19000)) = hAPP(hAPP(c_List_Olist__update(_u18998, hAPP(c_List_Orev(_u18998), _u18999)), 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(_u18998)), _u18999)), _u18997)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19000)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__rev__nth__mono ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__rev__nth__mono-1, axiom, ( ~class_Orderings_Olinorder(_u19001) | ~c_List_Olinorder__class_Osorted(_u19001, hAPP(c_List_Orev(_u19001), _u19002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19003), _u19004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19004), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19001)), _u19002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19001), hAPP(hAPP(c_List_Onth(_u19001), _u19002), _u19004)), hAPP(hAPP(c_List_Onth(_u19001), _u19002), _u19003))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_foldr__max__sorted ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_foldr__max__sorted-1, axiom, ( ~class_Orderings_Olinorder(_u19005) | ~c_List_Olinorder__class_Osorted(_u19005, hAPP(c_List_Orev(_u19005), _u19006)) | ( _u19006 != c_List_Olist_ONil(_u19005)) | ( c_List_Ofoldr(_u19005, _u19005, c_Orderings_Oord__class_Omax(_u19005), _u19006, _u19007) = _u19007) )).
% 43.37/43.60 cnf(fact_foldr__max__sorted-2, axiom, ( ~class_Orderings_Olinorder(_u19005) | ~c_List_Olinorder__class_Osorted(_u19005, hAPP(c_List_Orev(_u19005), _u19006)) | ( _u19006 = c_List_Olist_ONil(_u19005)) | ( c_List_Ofoldr(_u19005, _u19005, c_Orderings_Oord__class_Omax(_u19005), _u19006, _u19007) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19005), hAPP(hAPP(c_List_Onth(_u19005), _u19006), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u19007)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__transpose__sorted ( axiom ) converted to clauses:
% 43.37/43.60 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(_u19008), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19008))), _u19009))) | ( _u19009 != c_List_Olist_ONil(tc_List_Olist(_u19008))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19008))), c_List_Otranspose(_u19008, _u19009)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.60 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(_u19008), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19008))), _u19009))) | ( _u19009 = c_List_Olist_ONil(tc_List_Olist(_u19008))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19008))), c_List_Otranspose(_u19008, _u19009)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19008)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19008)), _u19009), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__column__length ( axiom ) converted to clauses:
% 43.37/43.60 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(_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))), _u19011))) | ( 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)))), c_List_Otranspose(_u19010, _u19011))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19010)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19010)), _u19011), _u19012))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transpose__transpose ( axiom ) converted to clauses:
% 43.37/43.60 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(_u19013), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19013))), _u19014))) | ( c_List_Otranspose(_u19013, c_List_Otranspose(_u19013, _u19014)) = c_List_OtakeWhile(tc_List_Olist(_u19013), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u19013)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19013), tc_List_Olist(_u19013), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u19013))), _u19014)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transfer__nat__int__list__functions_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 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))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__takeWhile ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__takeWhile-1, axiom, ( ~class_Orderings_Olinorder(_u19015) | ~c_List_Olinorder__class_Osorted(_u19015, _u19016) | c_List_Olinorder__class_Osorted(_u19015, c_List_OtakeWhile(_u19015, _u19017, _u19016)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__takeWhile__le ( axiom ) converted to clauses:
% 43.37/43.60 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(_u19018)), c_List_OtakeWhile(_u19018, _u19019, _u19020))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19018)), _u19020))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_set__takeWhileD ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_set__takeWhileD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19021), _u19022), hAPP(c_List_Oset(_u19021), c_List_OtakeWhile(_u19021, _u19023, _u19024)))) | hBOOL(hAPP(hAPP(c_member(_u19021), _u19022), hAPP(c_List_Oset(_u19021), _u19024))) )).
% 43.37/43.60 cnf(fact_set__takeWhileD-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19021), _u19022), hAPP(c_List_Oset(_u19021), c_List_OtakeWhile(_u19021, _u19023, _u19024)))) | hBOOL(hAPP(_u19023, _u19022)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile__eq__all__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile__eq__all__conv-1, axiom, ( ( c_List_OtakeWhile(_u19030, _u19032, _u19034) != _u19034) | ~hBOOL(hAPP(hAPP(c_member(_u19030), _u19025), hAPP(c_List_Oset(_u19030), _u19034))) | hBOOL(hAPP(_u19032, _u19025)) )).
% 43.37/43.60 cnf(fact_takeWhile__eq__all__conv-2, axiom, ( ( c_List_OtakeWhile(_u19031, _u19033, _u19035) = _u19035) | hBOOL(hAPP(hAPP(c_member(_u19031), skolem479(_u19035, _u19033, _u19031)), hAPP(c_List_Oset(_u19031), _u19035))) )).
% 43.37/43.60 cnf(fact_takeWhile__eq__all__conv-3, axiom, ( ( c_List_OtakeWhile(_u19031, _u19033, _u19035) = _u19035) | ~hBOOL(hAPP(_u19033, skolem479(_u19035, _u19033, _u19031))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__takeWhile__fst ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__takeWhile__fst-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19036, _u19037), c_List_OtakeWhile(_u19036, _u19038, _u19039)), _u19040) = c_List_OtakeWhile(tc_prod(_u19036, _u19037), hAPP(c_Fun_Ocomp(_u19036, tc_HOL_Obool, tc_prod(_u19036, _u19037), _u19038), c_Product__Type_Ofst(_u19036, _u19037)), hAPP(hAPP(c_List_Ozip(_u19036, _u19037), _u19039), _u19040))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_zip__takeWhile__snd ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_zip__takeWhile__snd-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19041, _u19042), _u19043), c_List_OtakeWhile(_u19042, _u19044, _u19045)) = c_List_OtakeWhile(tc_prod(_u19041, _u19042), hAPP(c_Fun_Ocomp(_u19042, tc_HOL_Obool, tc_prod(_u19041, _u19042), _u19044), c_Product__Type_Osnd(_u19041, _u19042)), hAPP(hAPP(c_List_Ozip(_u19041, _u19042), _u19043), _u19045))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile__map-1, axiom, ( ( c_List_OtakeWhile(_u19046, _u19047, hAPP(hAPP(c_List_Omap(_u19048, _u19046), _u19049), _u19050)) = hAPP(hAPP(c_List_Omap(_u19048, _u19046), _u19049), c_List_OtakeWhile(_u19048, hAPP(c_Fun_Ocomp(_u19046, tc_HOL_Obool, _u19048, _u19047), _u19049), _u19050))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__takeWhile ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__takeWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19051), _u19052)) | hBOOL(hAPP(c_List_Odistinct(_u19051), c_List_OtakeWhile(_u19051, _u19053, _u19052))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile__tail ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile__tail-1, axiom, ( hBOOL(hAPP(_u19054, _u19055)) | ( c_List_OtakeWhile(_u19056, _u19054, hAPP(hAPP(c_List_Oappend(_u19056), _u19057), hAPP(hAPP(c_List_Olist_OCons(_u19056), _u19055), _u19058))) = c_List_OtakeWhile(_u19056, _u19054, _u19057)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u19063, _u19065)) | ( c_List_OtakeWhile(_u19067, _u19063, hAPP(hAPP(c_List_Olist_OCons(_u19067), _u19065), _u19069)) = hAPP(hAPP(c_List_Olist_OCons(_u19067), _u19065), c_List_OtakeWhile(_u19067, _u19063, _u19069))) )).
% 43.37/43.60 cnf(fact_takeWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u19064, _u19066)) | ( c_List_OtakeWhile(_u19068, _u19064, hAPP(hAPP(c_List_Olist_OCons(_u19068), _u19066), _u19070)) = c_List_Olist_ONil(_u19068)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile__eq__take ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile__eq__take-1, axiom, ( ( c_List_OtakeWhile(_u19071, _u19072, _u19073) = hAPP(hAPP(c_List_Otake(_u19071), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19071)), c_List_OtakeWhile(_u19071, _u19072, _u19073))), _u19073)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile_Osimps_I1_J-1, axiom, ( ( c_List_OtakeWhile(_u19074, _u19075, c_List_Olist_ONil(_u19074)) = c_List_Olist_ONil(_u19074)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_return__list__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_return__list__def-1, axiom, ( ( c_List_Oreturn__list(_u19076) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u19076)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile__append1 ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19077), _u19078), hAPP(c_List_Oset(_u19077), _u19079))) | hBOOL(hAPP(_u19080, _u19078)) | ( c_List_OtakeWhile(_u19077, _u19080, hAPP(hAPP(c_List_Oappend(_u19077), _u19079), _u19081)) = c_List_OtakeWhile(_u19077, _u19080, _u19079)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_nth__length__takeWhile ( axiom ) converted to clauses:
% 43.37/43.60 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(_u19082)), c_List_OtakeWhile(_u19082, _u19083, _u19084))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19082)), _u19084))) | ~hBOOL(hAPP(_u19083, hAPP(hAPP(c_List_Onth(_u19082), _u19084), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19082)), c_List_OtakeWhile(_u19082, _u19083, _u19084))))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile__nth ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19085), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19086)), c_List_OtakeWhile(_u19086, _u19087, _u19088)))) | ( hAPP(hAPP(c_List_Onth(_u19086), c_List_OtakeWhile(_u19086, _u19087, _u19088)), _u19085) = hAPP(hAPP(c_List_Onth(_u19086), _u19088), _u19085)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile__not__last ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile__not__last-1, axiom, ( ( _u19089 = c_List_Olist_ONil(_u19090)) | ~hBOOL(hAPP(c_List_Odistinct(_u19090), _u19089)) | ( c_List_OtakeWhile(_u19090, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19090), c_fNot), hAPP(hAPP(c_COMBC(_u19090, _u19090, tc_HOL_Obool), c_fequal), c_List_Olast(_u19090, _u19089))), _u19089) = c_List_Obutlast(_u19090, _u19089)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_filter__equals__takeWhile__sorted__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_filter__equals__takeWhile__sorted__rev-1, axiom, ( ~class_Orderings_Olinorder(_u19091) | ~c_List_Olinorder__class_Osorted(_u19091, hAPP(c_List_Orev(_u19091), hAPP(hAPP(c_List_Omap(_u19092, _u19091), _u19093), _u19094))) | ( hAPP(c_List_Ofilter(_u19092, hAPP(hAPP(c_COMBB(_u19091, tc_HOL_Obool, _u19092), hAPP(c_Orderings_Oord__class_Oless(_u19091), _u19095)), _u19093)), _u19094) = c_List_OtakeWhile(_u19092, hAPP(hAPP(c_COMBB(_u19091, tc_HOL_Obool, _u19092), hAPP(c_Orderings_Oord__class_Oless(_u19091), _u19095)), _u19093), _u19094)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transfer__nat__int__list__return__embed ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transfer__nat__int__list__return__embed-1, axiom, ( ~c_List_Onat__list(_u19096) | ( c_List_Oembed__list(c_List_Oreturn__list(_u19096)) = _u19096) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_transfer__nat__int__list__functions_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_transfer__nat__int__list__functions_I1_J-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u19097), _u19098) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u19097)), c_List_Oembed__list(_u19098)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_embed__list__def ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_embed__list__def-1, axiom, ( ( c_List_Oembed__list(_u19099) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u19099)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile__neq__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19100), _u19101)) | ~hBOOL(hAPP(hAPP(c_member(_u19100), _u19102), hAPP(c_List_Oset(_u19100), _u19101))) | ( c_List_OtakeWhile(_u19100, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19100), c_fNot), hAPP(hAPP(c_COMBC(_u19100, _u19100, tc_HOL_Obool), c_fequal), _u19102)), hAPP(c_List_Orev(_u19100), _u19101)) = hAPP(c_List_Orev(_u19100), hAPP(c_List_Otl(_u19100), c_List_OdropWhile(_u19100, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19100), c_fNot), hAPP(hAPP(c_COMBC(_u19100, _u19100, tc_HOL_Obool), c_fequal), _u19102)), _u19101)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_dropWhile__neq__rev ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_dropWhile__neq__rev-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19103), _u19104)) | ~hBOOL(hAPP(hAPP(c_member(_u19103), _u19105), hAPP(c_List_Oset(_u19103), _u19104))) | ( c_List_OdropWhile(_u19103, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19103), c_fNot), hAPP(hAPP(c_COMBC(_u19103, _u19103, tc_HOL_Obool), c_fequal), _u19105)), hAPP(c_List_Orev(_u19103), _u19104)) = hAPP(hAPP(c_List_Olist_OCons(_u19103), _u19105), hAPP(c_List_Orev(_u19103), c_List_OtakeWhile(_u19103, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19103), c_fNot), hAPP(hAPP(c_COMBC(_u19103, _u19103, tc_HOL_Obool), c_fequal), _u19105)), _u19104)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_takeWhile__dropWhile__id ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_takeWhile__dropWhile__id-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19106), c_List_OtakeWhile(_u19106, _u19107, _u19108)), c_List_OdropWhile(_u19106, _u19107, _u19108)) = _u19108) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_sorted__dropWhile ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_sorted__dropWhile-1, axiom, ( ~class_Orderings_Olinorder(_u19109) | ~c_List_Olinorder__class_Osorted(_u19109, _u19110) | c_List_Olinorder__class_Osorted(_u19109, c_List_OdropWhile(_u19109, _u19111, _u19110)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_length__dropWhile__le ( axiom ) converted to clauses:
% 43.37/43.60 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(_u19112)), c_List_OdropWhile(_u19112, _u19113, _u19114))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19112)), _u19114))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_hd__dropWhile ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_hd__dropWhile-1, axiom, ( ( c_List_OdropWhile(_u19115, _u19116, _u19117) = c_List_Olist_ONil(_u19115)) | ~hBOOL(hAPP(_u19116, hAPP(c_List_Ohd(_u19115), c_List_OdropWhile(_u19115, _u19116, _u19117)))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_dropWhile__eq__Nil__conv ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_dropWhile__eq__Nil__conv-1, axiom, ( ( c_List_OdropWhile(_u19123, _u19125, _u19127) != c_List_Olist_ONil(_u19123)) | ~hBOOL(hAPP(hAPP(c_member(_u19123), _u19118), hAPP(c_List_Oset(_u19123), _u19127))) | hBOOL(hAPP(_u19125, _u19118)) )).
% 43.37/43.60 cnf(fact_dropWhile__eq__Nil__conv-2, axiom, ( ( c_List_OdropWhile(_u19124, _u19126, _u19128) = c_List_Olist_ONil(_u19124)) | hBOOL(hAPP(hAPP(c_member(_u19124), skolem480(_u19128, _u19126, _u19124)), hAPP(c_List_Oset(_u19124), _u19128))) )).
% 43.37/43.60 cnf(fact_dropWhile__eq__Nil__conv-3, axiom, ( ( c_List_OdropWhile(_u19124, _u19126, _u19128) = c_List_Olist_ONil(_u19124)) | ~hBOOL(hAPP(_u19126, skolem480(_u19128, _u19126, _u19124))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_distinct__dropWhile ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_distinct__dropWhile-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19129), _u19130)) | hBOOL(hAPP(c_List_Odistinct(_u19129), c_List_OdropWhile(_u19129, _u19131, _u19130))) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_dropWhile_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_dropWhile_Osimps_I2_J-1, axiom, ( ~hBOOL(hAPP(_u19136, _u19138)) | ( c_List_OdropWhile(_u19140, _u19136, hAPP(hAPP(c_List_Olist_OCons(_u19140), _u19138), _u19142)) = c_List_OdropWhile(_u19140, _u19136, _u19142)) )).
% 43.37/43.60 cnf(fact_dropWhile_Osimps_I2_J-2, axiom, ( hBOOL(hAPP(_u19137, _u19139)) | ( c_List_OdropWhile(_u19141, _u19137, hAPP(hAPP(c_List_Olist_OCons(_u19141), _u19139), _u19143)) = hAPP(hAPP(c_List_Olist_OCons(_u19141), _u19139), _u19143)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_dropWhile_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_dropWhile_Osimps_I1_J-1, axiom, ( ( c_List_OdropWhile(_u19144, _u19145, c_List_Olist_ONil(_u19144)) = c_List_Olist_ONil(_u19144)) )).
% 43.37/43.60
% 43.37/43.60 % Formula: fact_dropWhile__map ( axiom ) converted to clauses:
% 43.37/43.60 cnf(fact_dropWhile__map-1, axiom, ( ( c_List_OdropWhile(_u19146, _u19147, hAPP(hAPP(c_List_Omap(_u19148, _u19146), _u19149), _u19150)) = hAPP(hAPP(c_List_Omap(_u19148, _u19146), _u19149), c_List_OdropWhile(_u19148, hAPP(c_Fun_Ocomp(_u19146, tc_HOL_Obool, _u19148, _u19147), _u19149), _u19150))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_dropWhile__append1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_dropWhile__append1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19151), _u19152), hAPP(c_List_Oset(_u19151), _u19153))) | hBOOL(hAPP(_u19154, _u19152)) | ( c_List_OdropWhile(_u19151, _u19154, hAPP(hAPP(c_List_Oappend(_u19151), _u19153), _u19155)) = hAPP(hAPP(c_List_Oappend(_u19151), c_List_OdropWhile(_u19151, _u19154, _u19153)), _u19155)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_dropWhile__eq__Cons__conv ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_dropWhile__eq__Cons__conv-1, axiom, ( ( c_List_OdropWhile(_u19161, _u19163, _u19165) != hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19167), _u19169)) | ( _u19165 = hAPP(hAPP(c_List_Oappend(_u19161), c_List_OtakeWhile(_u19161, _u19163, _u19165)), hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19167), _u19169))) )).
% 43.37/43.61 cnf(fact_dropWhile__eq__Cons__conv-2, axiom, ( ( c_List_OdropWhile(_u19161, _u19163, _u19165) != hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19167), _u19169)) | ~hBOOL(hAPP(_u19163, _u19167)) )).
% 43.37/43.61 cnf(fact_dropWhile__eq__Cons__conv-3, axiom, ( ( _u19166 != hAPP(hAPP(c_List_Oappend(_u19162), c_List_OtakeWhile(_u19162, _u19164, _u19166)), hAPP(hAPP(c_List_Olist_OCons(_u19162), _u19168), _u19170))) | hBOOL(hAPP(_u19164, _u19168)) | ( c_List_OdropWhile(_u19162, _u19164, _u19166) = hAPP(hAPP(c_List_Olist_OCons(_u19162), _u19168), _u19170)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_dropWhile__eq__drop ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_dropWhile__eq__drop-1, axiom, ( ( c_List_OdropWhile(_u19171, _u19172, _u19173) = hAPP(hAPP(c_List_Odrop(_u19171), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19171)), c_List_OtakeWhile(_u19171, _u19172, _u19173))), _u19173)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_dropWhile__nth ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_dropWhile__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19174), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19175)), c_List_OdropWhile(_u19175, _u19176, _u19177)))) | ( hAPP(hAPP(c_List_Onth(_u19175), c_List_OdropWhile(_u19175, _u19176, _u19177)), _u19174) = hAPP(hAPP(c_List_Onth(_u19175), _u19177), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19174), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19175)), c_List_OtakeWhile(_u19175, _u19176, _u19177))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_listsum__map__filter ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_listsum__map__filter-1, axiom, ( ~class_Groups_Omonoid__add(_u19179) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), hAPP(c_List_Ofilter(_u19180, _u19182), _u19181))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), _u19181))) | hBOOL(hAPP(hAPP(c_member(_u19180), skolem481(_u19183, _u19182, _u19181, _u19180, _u19179)), hAPP(c_List_Oset(_u19180), _u19181))) )).
% 43.37/43.61 cnf(fact_listsum__map__filter-2, axiom, ( ~class_Groups_Omonoid__add(_u19179) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), hAPP(c_List_Ofilter(_u19180, _u19182), _u19181))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), _u19181))) | ~hBOOL(hAPP(_u19182, skolem481(_u19183, _u19182, _u19181, _u19180, _u19179))) )).
% 43.37/43.61 cnf(fact_listsum__map__filter-3, axiom, ( ~class_Groups_Omonoid__add(_u19179) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), hAPP(c_List_Ofilter(_u19180, _u19182), _u19181))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), _u19181))) | ( hAPP(_u19183, skolem481(_u19183, _u19182, _u19181, _u19180, _u19179)) != c_Groups_Ozero__class_Ozero(_u19179)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sorted__nth__monoI ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sorted__nth__monoI-1, axiom, ( ~class_Orderings_Olinorder(_u19186) | c_List_Olinorder__class_Osorted(_u19186, _u19187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem482(_u19187, _u19186)), skolem483(_u19187, _u19186))) )).
% 43.37/43.61 cnf(fact_sorted__nth__monoI-2, axiom, ( ~class_Orderings_Olinorder(_u19186) | c_List_Olinorder__class_Osorted(_u19186, _u19187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem483(_u19187, _u19186)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19186)), _u19187))) )).
% 43.37/43.61 cnf(fact_sorted__nth__monoI-3, axiom, ( ~class_Orderings_Olinorder(_u19186) | c_List_Olinorder__class_Osorted(_u19186, _u19187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19186), hAPP(hAPP(c_List_Onth(_u19186), _u19187), skolem482(_u19187, _u19186))), hAPP(hAPP(c_List_Onth(_u19186), _u19187), skolem483(_u19187, _u19186)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_takeWhile__eq__filter ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_takeWhile__eq__filter-1, axiom, ( ( c_List_OtakeWhile(_u19189, _u19190, _u19191) = hAPP(c_List_Ofilter(_u19189, _u19190), _u19191)) | hBOOL(hAPP(hAPP(c_member(_u19189), skolem484(_u19191, _u19190, _u19189)), hAPP(c_List_Oset(_u19189), c_List_OdropWhile(_u19189, _u19190, _u19191)))) )).
% 43.37/43.61 cnf(fact_takeWhile__eq__filter-2, axiom, ( ( c_List_OtakeWhile(_u19189, _u19190, _u19191) = hAPP(c_List_Ofilter(_u19189, _u19190), _u19191)) | hBOOL(hAPP(_u19190, skolem484(_u19191, _u19190, _u19189))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_takeWhile__eq__take__P__nth ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_takeWhile__eq__take__P__nth-1, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u19196, _u19195, _u19194, _u19193)), _u19193)) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) )).
% 43.37/43.61 cnf(fact_takeWhile__eq__take__P__nth-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u19196, _u19195, _u19194, _u19193)), _u19193)) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), _u19193))) )).
% 43.37/43.61 cnf(fact_takeWhile__eq__take__P__nth-3, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u19196, _u19195, _u19194, _u19193)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) )).
% 43.37/43.61 cnf(fact_takeWhile__eq__take__P__nth-4, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u19196, _u19195, _u19194, _u19193)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), _u19193))) )).
% 43.37/43.61 cnf(fact_takeWhile__eq__take__P__nth-5, axiom, ( ~hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), skolem485(_u19196, _u19195, _u19194, _u19193)))) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) )).
% 43.37/43.61 cnf(fact_takeWhile__eq__take__P__nth-6, axiom, ( ~hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), skolem485(_u19196, _u19195, _u19194, _u19193)))) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), _u19193))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_length__takeWhile__less__P__nth ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_length__takeWhile__less__P__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19200)), _u19201))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19200)), c_List_OtakeWhile(_u19200, _u19199, _u19201)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem486(_u19201, _u19200, _u19199, _u19198)), _u19198)) )).
% 43.37/43.61 cnf(fact_length__takeWhile__less__P__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19200)), _u19201))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19200)), c_List_OtakeWhile(_u19200, _u19199, _u19201)))) | ~hBOOL(hAPP(_u19199, hAPP(hAPP(c_List_Onth(_u19200), _u19201), skolem486(_u19201, _u19200, _u19199, _u19198)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sorted_Osimps ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sorted_Osimps-1, axiom, ( ~class_Orderings_Olinorder(_u19208) | ~c_List_Olinorder__class_Osorted(_u19208, _u19209) | ( _u19209 = c_List_Olist_ONil(_u19208)) | c_List_Olinorder__class_Osorted(_u19208, skolem487(_u19209, _u19208)) )).
% 43.37/43.61 cnf(fact_sorted_Osimps-2, axiom, ( ~class_Orderings_Olinorder(_u19208) | ~c_List_Olinorder__class_Osorted(_u19208, _u19209) | ( _u19209 = c_List_Olist_ONil(_u19208)) | ( _u19209 = hAPP(hAPP(c_List_Olist_OCons(_u19208), skolem488(_u19209, _u19208)), skolem487(_u19209, _u19208))) )).
% 43.37/43.61 cnf(fact_sorted_Osimps-3, axiom, ( ~class_Orderings_Olinorder(_u19208) | ~c_List_Olinorder__class_Osorted(_u19208, _u19209) | ( _u19209 = c_List_Olist_ONil(_u19208)) | ~hBOOL(hAPP(hAPP(c_member(_u19208), _u19202), hAPP(c_List_Oset(_u19208), skolem487(_u19209, _u19208)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19208), skolem488(_u19209, _u19208)), _u19202)) )).
% 43.37/43.61 cnf(fact_sorted_Osimps-4, axiom, ( ~class_Orderings_Olinorder(_u19208) | c_List_Olinorder__class_Osorted(_u19208, _u19209) | ( _u19209 != c_List_Olist_ONil(_u19208)) )).
% 43.37/43.61 cnf(fact_sorted_Osimps-5, axiom, ( ~class_Orderings_Olinorder(_u19208) | c_List_Olinorder__class_Osorted(_u19208, _u19209) | ~c_List_Olinorder__class_Osorted(_u19208, _u19207) | ( _u19209 != hAPP(hAPP(c_List_Olist_OCons(_u19208), _u19206), _u19207)) | hBOOL(hAPP(hAPP(c_member(_u19208), skolem489(_u19209, _u19208, _u19207, _u19206)), hAPP(c_List_Oset(_u19208), _u19207))) )).
% 43.37/43.61 cnf(fact_sorted_Osimps-6, axiom, ( ~class_Orderings_Olinorder(_u19208) | c_List_Olinorder__class_Osorted(_u19208, _u19209) | ~c_List_Olinorder__class_Osorted(_u19208, _u19207) | ( _u19209 != hAPP(hAPP(c_List_Olist_OCons(_u19208), _u19206), _u19207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19208), _u19206), skolem489(_u19209, _u19208, _u19207, _u19206))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_map__removeAll__inj__on ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_map__removeAll__inj__on-1, axiom, ( ~c_Fun_Oinj__on(_u19210, _u19211, _u19212, hAPP(hAPP(c_Set_Oinsert(_u19210), _u19213), hAPP(c_List_Oset(_u19210), _u19214))) | ( hAPP(hAPP(c_List_Omap(_u19210, _u19211), _u19212), hAPP(c_List_OremoveAll(_u19210, _u19213), _u19214)) = hAPP(c_List_OremoveAll(_u19211, hAPP(_u19212, _u19213)), hAPP(hAPP(c_List_Omap(_u19210, _u19211), _u19212), _u19214))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_List_Oinsert__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_List_Oinsert__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19218), _u19220), hAPP(c_List_Oset(_u19218), _u19222))) | ( c_List_Oinsert(_u19218, _u19220, _u19222) = _u19222) )).
% 43.37/43.61 cnf(fact_List_Oinsert__def-2, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19219), _u19221), hAPP(c_List_Oset(_u19219), _u19223))) | ( c_List_Oinsert(_u19219, _u19221, _u19223) = hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_removeAll__append ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_removeAll__append-1, axiom, ( ( hAPP(c_List_OremoveAll(_u19224, _u19225), hAPP(hAPP(c_List_Oappend(_u19224), _u19226), _u19227)) = hAPP(hAPP(c_List_Oappend(_u19224), hAPP(c_List_OremoveAll(_u19224, _u19225), _u19226)), hAPP(c_List_OremoveAll(_u19224, _u19225), _u19227))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_removeAll__id ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_removeAll__id-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19228), _u19229), hAPP(c_List_Oset(_u19228), _u19230))) | ( hAPP(c_List_OremoveAll(_u19228, _u19229), _u19230) = _u19230) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_insert__remdups ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_insert__remdups-1, axiom, ( ( c_List_Oinsert(_u19231, _u19232, c_List_Oremdups(_u19231, _u19233)) = c_List_Oremdups(_u19231, c_List_Oinsert(_u19231, _u19232, _u19233))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_removeAll__filter__not ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_removeAll__filter__not-1, axiom, ( hBOOL(hAPP(_u19234, _u19235)) | ( hAPP(c_List_OremoveAll(_u19236, _u19235), hAPP(c_List_Ofilter(_u19236, _u19234), _u19237)) = hAPP(c_List_Ofilter(_u19236, _u19234), _u19237)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_removeAll__filter__not__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_removeAll__filter__not__eq-1, axiom, ( ( c_List_OremoveAll(_u19238, _u19239) = c_List_Ofilter(_u19238, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19238), c_fNot), hAPP(c_fequal, _u19239)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_distinct__insert ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_distinct__insert-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19240), _u19241)) | hBOOL(hAPP(c_List_Odistinct(_u19240), c_List_Oinsert(_u19240, _u19242, _u19241))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_distinct__removeAll ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_distinct__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19243), _u19244)) | hBOOL(hAPP(c_List_Odistinct(_u19243), hAPP(c_List_OremoveAll(_u19243, _u19245), _u19244))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_removeAll_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_removeAll_Osimps_I2_J-1, axiom, ( ( _u19250 != _u19252) | ( hAPP(c_List_OremoveAll(_u19254, _u19250), hAPP(hAPP(c_List_Olist_OCons(_u19254), _u19252), _u19256)) = hAPP(c_List_OremoveAll(_u19254, _u19250), _u19256)) )).
% 43.37/43.61 cnf(fact_removeAll_Osimps_I2_J-2, axiom, ( ( _u19251 = _u19253) | ( hAPP(c_List_OremoveAll(_u19255, _u19251), hAPP(hAPP(c_List_Olist_OCons(_u19255), _u19253), _u19257)) = hAPP(hAPP(c_List_Olist_OCons(_u19255), _u19253), hAPP(c_List_OremoveAll(_u19255, _u19251), _u19257))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_removeAll_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_removeAll_Osimps_I1_J-1, axiom, ( ( hAPP(c_List_OremoveAll(_u19258, _u19259), c_List_Olist_ONil(_u19258)) = c_List_Olist_ONil(_u19258)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_distinct__remove1__removeAll ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_distinct__remove1__removeAll-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(_u19260), _u19261)) | ( c_List_Oremove1(_u19260, _u19262, _u19261) = hAPP(c_List_OremoveAll(_u19260, _u19262), _u19261)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_in__set__insert ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_in__set__insert-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19263), _u19264), hAPP(c_List_Oset(_u19263), _u19265))) | ( c_List_Oinsert(_u19263, _u19264, _u19265) = _u19265) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_List_Oset__insert ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_List_Oset__insert-1, axiom, ( ( hAPP(c_List_Oset(_u19266), c_List_Oinsert(_u19266, _u19267, _u19268)) = hAPP(hAPP(c_Set_Oinsert(_u19266), _u19267), hAPP(c_List_Oset(_u19266), _u19268))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_insert__Nil ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_insert__Nil-1, axiom, ( ( c_List_Oinsert(_u19269, _u19270, c_List_Olist_ONil(_u19269)) = hAPP(hAPP(c_List_Olist_OCons(_u19269), _u19270), c_List_Olist_ONil(_u19269))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_map__removeAll__inj ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_map__removeAll__inj-1, axiom, ( ~c_Fun_Oinj__on(_u19271, _u19272, _u19273, c_Orderings_Otop__class_Otop(tc_fun(_u19271, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u19271, _u19272), _u19273), hAPP(c_List_OremoveAll(_u19271, _u19274), _u19275)) = hAPP(c_List_OremoveAll(_u19272, hAPP(_u19273, _u19274)), hAPP(hAPP(c_List_Omap(_u19271, _u19272), _u19273), _u19275))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_set__removeAll ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_set__removeAll-1, axiom, ( ( hAPP(c_List_Oset(_u19276), hAPP(c_List_OremoveAll(_u19276, _u19277), _u19278)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19276, tc_HOL_Obool)), hAPP(c_List_Oset(_u19276), _u19278)), hAPP(hAPP(c_Set_Oinsert(_u19276), _u19277), c_Orderings_Obot__class_Obot(tc_fun(_u19276, tc_HOL_Obool))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_not__in__set__insert ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_not__in__set__insert-1, axiom, ( hBOOL(hAPP(hAPP(c_member(_u19279), _u19280), hAPP(c_List_Oset(_u19279), _u19281))) | ( c_List_Oinsert(_u19279, _u19280, _u19281) = hAPP(hAPP(c_List_Olist_OCons(_u19279), _u19280), _u19281)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_maps__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_maps__def-1, axiom, ( ( c_List_Omaps(_u19282, _u19283, _u19284, _u19285) = c_List_Oconcat(_u19283, hAPP(hAPP(c_List_Omap(_u19282, tc_List_Olist(_u19283)), _u19284), _u19285))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_concat__map__maps ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_concat__map__maps-1, axiom, ( ( c_List_Oconcat(_u19286, hAPP(hAPP(c_List_Omap(_u19287, tc_List_Olist(_u19286)), _u19288), _u19289)) = c_List_Omaps(_u19287, _u19286, _u19288, _u19289)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_maps__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_maps__simps_I2_J-1, axiom, ( ( c_List_Omaps(_u19290, _u19291, _u19292, c_List_Olist_ONil(_u19290)) = c_List_Olist_ONil(_u19291)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_maps__simps_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_maps__simps_I1_J-1, axiom, ( ( c_List_Omaps(_u19293, _u19294, _u19295, hAPP(hAPP(c_List_Olist_OCons(_u19293), _u19296), _u19297)) = hAPP(hAPP(c_List_Oappend(_u19294), hAPP(_u19295, _u19296)), c_List_Omaps(_u19293, _u19294, _u19295, _u19297))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_distinct__concat ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_distinct__concat-1, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem490(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem491(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) )).
% 43.37/43.61 cnf(fact_distinct__concat-2, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem490(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem492(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) )).
% 43.37/43.61 cnf(fact_distinct__concat-3, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem490(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | ( skolem491(_u19302, _u19301) != skolem492(_u19302, _u19301)) )).
% 43.37/43.61 cnf(fact_distinct__concat-4, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem490(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19301, tc_HOL_Obool)), hAPP(c_List_Oset(_u19301), skolem491(_u19302, _u19301))), hAPP(c_List_Oset(_u19301), skolem492(_u19302, _u19301))) != c_Orderings_Obot__class_Obot(tc_fun(_u19301, tc_HOL_Obool))) )).
% 43.37/43.61 cnf(fact_distinct__concat-5, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | ~hBOOL(hAPP(c_List_Odistinct(_u19301), skolem490(_u19302, _u19301))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem491(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) )).
% 43.37/43.61 cnf(fact_distinct__concat-6, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | ~hBOOL(hAPP(c_List_Odistinct(_u19301), skolem490(_u19302, _u19301))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem492(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) )).
% 43.37/43.61 cnf(fact_distinct__concat-7, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | ~hBOOL(hAPP(c_List_Odistinct(_u19301), skolem490(_u19302, _u19301))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | ( skolem491(_u19302, _u19301) != skolem492(_u19302, _u19301)) )).
% 43.37/43.61 cnf(fact_distinct__concat-8, axiom, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | ~hBOOL(hAPP(c_List_Odistinct(_u19301), skolem490(_u19302, _u19301))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19301, tc_HOL_Obool)), hAPP(c_List_Oset(_u19301), skolem491(_u19302, _u19301))), hAPP(c_List_Oset(_u19301), skolem492(_u19302, _u19301))) != c_Orderings_Obot__class_Obot(tc_fun(_u19301, tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_measures__lesseq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_measures__lesseq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u19303, _u19304)), hAPP(_u19303, _u19305))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19306, _u19306)), hAPP(hAPP(c_Product__Type_OPair(_u19306, _u19306), _u19304), _u19305)), c_List_Omeasures(_u19306, _u19307))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19306, _u19306)), hAPP(hAPP(c_Product__Type_OPair(_u19306, _u19306), _u19304), _u19305)), c_List_Omeasures(_u19306, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19306, tc_Nat_Onat)), _u19303), _u19307)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_wf__measures ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_wf__measures-1, axiom, ( c_Wellfounded_Owf(_u19308, c_List_Omeasures(_u19308, _u19309)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_in__measures_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_in__measures_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19310, _u19310)), hAPP(hAPP(c_Product__Type_OPair(_u19310, _u19310), _u19311), _u19312)), c_List_Omeasures(_u19310, c_List_Olist_ONil(tc_fun(_u19310, tc_Nat_Onat))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_measures__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_measures__def-1, axiom, ( ( c_List_Omeasures(_u19313, _u19314) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u19313), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u19313, tc_List_Olist(tc_fun(_u19313, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19313, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u19313, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u19313), c_List_Omap(tc_fun(_u19313, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u19313, tc_Nat_Onat), _u19313, tc_Nat_Onat), c_COMBI(tc_fun(_u19313, tc_Nat_Onat))))), _u19314))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_in__measures_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_in__measures_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19320, _u19320)), hAPP(hAPP(c_Product__Type_OPair(_u19320, _u19320), _u19322), _u19324)), c_List_Omeasures(_u19320, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19320, tc_Nat_Onat)), _u19326), _u19328)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19326, _u19322)), hAPP(_u19326, _u19324))) | ( hAPP(_u19326, _u19322) = hAPP(_u19326, _u19324)) )).
% 43.37/43.61 cnf(fact_in__measures_I2_J-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19320, _u19320)), hAPP(hAPP(c_Product__Type_OPair(_u19320, _u19320), _u19322), _u19324)), c_List_Omeasures(_u19320, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19320, tc_Nat_Onat)), _u19326), _u19328)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19326, _u19322)), hAPP(_u19326, _u19324))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19320, _u19320)), hAPP(hAPP(c_Product__Type_OPair(_u19320, _u19320), _u19322), _u19324)), c_List_Omeasures(_u19320, _u19328))) )).
% 43.37/43.61 cnf(fact_in__measures_I2_J-3, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19321, _u19321)), hAPP(hAPP(c_Product__Type_OPair(_u19321, _u19321), _u19323), _u19325)), c_List_Omeasures(_u19321, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19321, tc_Nat_Onat)), _u19327), _u19329)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19327, _u19323)), hAPP(_u19327, _u19325))) )).
% 43.37/43.61 cnf(fact_in__measures_I2_J-4, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19321, _u19321)), hAPP(hAPP(c_Product__Type_OPair(_u19321, _u19321), _u19323), _u19325)), c_List_Omeasures(_u19321, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19321, tc_Nat_Onat)), _u19327), _u19329)))) | ( hAPP(_u19327, _u19323) != hAPP(_u19327, _u19325)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19321, _u19321)), hAPP(hAPP(c_Product__Type_OPair(_u19321, _u19321), _u19323), _u19325)), c_List_Omeasures(_u19321, _u19329))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_measures__less ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_measures__less-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19330, _u19331)), hAPP(_u19330, _u19332))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19333, _u19333)), hAPP(hAPP(c_Product__Type_OPair(_u19333, _u19333), _u19331), _u19332)), c_List_Omeasures(_u19333, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19333, tc_Nat_Onat)), _u19330), _u19334)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_foldl__apply ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_foldl__apply-1, axiom, ( ( hAPP(c_List_Ofoldl(_u19338, _u19336, hAPP(c_COMBC(_u19336, _u19338, _u19338), _u19340), hAPP(_u19341, _u19343)), _u19337) = hAPP(_u19341, hAPP(c_List_Ofoldl(_u19339, _u19336, hAPP(c_COMBC(_u19336, _u19339, _u19339), _u19342), _u19343), _u19337))) | hBOOL(hAPP(hAPP(c_member(_u19336), skolem493(_u19343, _u19342, _u19341, _u19340, _u19339, _u19338, _u19337, _u19336)), hAPP(c_List_Oset(_u19336), _u19337))) )).
% 43.37/43.61 cnf(fact_foldl__apply-2, axiom, ( ( hAPP(c_List_Ofoldl(_u19338, _u19336, hAPP(c_COMBC(_u19336, _u19338, _u19338), _u19340), hAPP(_u19341, _u19343)), _u19337) = hAPP(_u19341, hAPP(c_List_Ofoldl(_u19339, _u19336, hAPP(c_COMBC(_u19336, _u19339, _u19339), _u19342), _u19343), _u19337))) | ( hAPP(c_Fun_Ocomp(_u19338, _u19338, _u19339, hAPP(_u19340, skolem493(_u19343, _u19342, _u19341, _u19340, _u19339, _u19338, _u19337, _u19336))), _u19341) != hAPP(c_Fun_Ocomp(_u19339, _u19338, _u19339, _u19341), hAPP(_u19342, skolem493(_u19343, _u19342, _u19341, _u19340, _u19339, _u19338, _u19337, _u19336)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_zip__obtain__same__length ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_zip__obtain__same__length-1, axiom, ( hBOOL(hAPP(_u19348, hAPP(hAPP(c_List_Ozip(_u19344, _u19346), _u19345), _u19347))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), hAPP(hAPP(c_List_Otake(_u19344), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), _u19345)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), _u19347))), _u19345)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), hAPP(hAPP(c_List_Otake(_u19346), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), _u19345)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), _u19347))), _u19347))) )).
% 43.37/43.61 cnf(fact_zip__obtain__same__length-2, axiom, ( hBOOL(hAPP(_u19348, hAPP(hAPP(c_List_Ozip(_u19344, _u19346), _u19345), _u19347))) | ~hBOOL(hAPP(_u19348, hAPP(hAPP(c_List_Ozip(_u19344, _u19346), hAPP(hAPP(c_List_Otake(_u19344), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), _u19345)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), _u19347))), _u19345)), hAPP(hAPP(c_List_Otake(_u19346), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), _u19345)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), _u19347))), _u19347)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pos__not__random__dseq__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pos__not__random__dseq__def-1, axiom, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u19349, _u19350, _u19351, _u19352) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u19349, _u19350), _u19351), _u19352))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_dropWhile__append2 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_dropWhile__append2-1, axiom, ( ( c_List_OdropWhile(_u19354, _u19356, hAPP(hAPP(c_List_Oappend(_u19354), _u19355), _u19357)) = c_List_OdropWhile(_u19354, _u19356, _u19357)) | hBOOL(hAPP(hAPP(c_member(_u19354), skolem494(_u19357, _u19356, _u19355, _u19354)), hAPP(c_List_Oset(_u19354), _u19355))) )).
% 43.37/43.61 cnf(fact_dropWhile__append2-2, axiom, ( ( c_List_OdropWhile(_u19354, _u19356, hAPP(hAPP(c_List_Oappend(_u19354), _u19355), _u19357)) = c_List_OdropWhile(_u19354, _u19356, _u19357)) | ~hBOOL(hAPP(_u19356, skolem494(_u19357, _u19356, _u19355, _u19354))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__all2__all__nthI ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__all2__all__nthI-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19359)), _u19360) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19361)), _u19362)) | c_List_Olist__all2(_u19359, _u19361, _u19363, _u19360, _u19362) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem495(_u19363, _u19362, _u19361, _u19360, _u19359)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19359)), _u19360))) )).
% 43.37/43.61 cnf(fact_list__all2__all__nthI-2, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19359)), _u19360) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19361)), _u19362)) | c_List_Olist__all2(_u19359, _u19361, _u19363, _u19360, _u19362) | ~hBOOL(hAPP(hAPP(_u19363, hAPP(hAPP(c_List_Onth(_u19359), _u19360), skolem495(_u19363, _u19362, _u19361, _u19360, _u19359))), hAPP(hAPP(c_List_Onth(_u19361), _u19362), skolem495(_u19363, _u19362, _u19361, _u19360, _u19359)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_finite__sorted__distinct__unique ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_finite__sorted__distinct__unique-1, axiom, ( ~class_Orderings_Olinorder(_u19366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19366), _u19367)) | ( hAPP(c_List_Oset(_u19366), skolem496(_u19367, _u19366)) = _u19367) )).
% 43.37/43.61 cnf(fact_finite__sorted__distinct__unique-2, axiom, ( ~class_Orderings_Olinorder(_u19366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19366), _u19367)) | c_List_Olinorder__class_Osorted(_u19366, skolem496(_u19367, _u19366)) )).
% 43.37/43.61 cnf(fact_finite__sorted__distinct__unique-3, axiom, ( ~class_Orderings_Olinorder(_u19366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19366), _u19367)) | hBOOL(hAPP(c_List_Odistinct(_u19366), skolem496(_u19367, _u19366))) )).
% 43.37/43.61 cnf(fact_finite__sorted__distinct__unique-4, axiom, ( ~class_Orderings_Olinorder(_u19366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19366), _u19367)) | ( hAPP(c_List_Oset(_u19366), _u19364) != _u19367) | ~c_List_Olinorder__class_Osorted(_u19366, _u19364) | ~hBOOL(hAPP(c_List_Odistinct(_u19366), _u19364)) | ( _u19364 = skolem496(_u19367, _u19366)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_takeWhile__append2 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_takeWhile__append2-1, axiom, ( ( c_List_OtakeWhile(_u19369, _u19371, hAPP(hAPP(c_List_Oappend(_u19369), _u19370), _u19372)) = hAPP(hAPP(c_List_Oappend(_u19369), _u19370), c_List_OtakeWhile(_u19369, _u19371, _u19372))) | hBOOL(hAPP(hAPP(c_member(_u19369), skolem497(_u19372, _u19371, _u19370, _u19369)), hAPP(c_List_Oset(_u19369), _u19370))) )).
% 43.37/43.61 cnf(fact_takeWhile__append2-2, axiom, ( ( c_List_OtakeWhile(_u19369, _u19371, hAPP(hAPP(c_List_Oappend(_u19369), _u19370), _u19372)) = hAPP(hAPP(c_List_Oappend(_u19369), _u19370), c_List_OtakeWhile(_u19369, _u19371, _u19372))) | ~hBOOL(hAPP(_u19371, skolem497(_u19372, _u19371, _u19370, _u19369))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_insort__is__Cons ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_insort__is__Cons-1, axiom, ( ~class_Orderings_Olinorder(_u19374) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19375, _u19374, _u19377), _u19378), _u19376) = hAPP(hAPP(c_List_Olist_OCons(_u19375), _u19378), _u19376)) | hBOOL(hAPP(hAPP(c_member(_u19375), skolem498(_u19378, _u19377, _u19376, _u19375, _u19374)), hAPP(c_List_Oset(_u19375), _u19376))) )).
% 43.37/43.61 cnf(fact_insort__is__Cons-2, axiom, ( ~class_Orderings_Olinorder(_u19374) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19375, _u19374, _u19377), _u19378), _u19376) = hAPP(hAPP(c_List_Olist_OCons(_u19375), _u19378), _u19376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19374), hAPP(_u19377, _u19378)), hAPP(_u19377, skolem498(_u19378, _u19377, _u19376, _u19375, _u19374)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Cons__eq__filter__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Cons__eq__filter__iff-1, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394) != hAPP(c_List_Ofilter(_u19390, _u19396), _u19398)) | hBOOL(hAPP(_u19396, _u19392)) )).
% 43.37/43.61 cnf(fact_Cons__eq__filter__iff-2, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394) != hAPP(c_List_Ofilter(_u19390, _u19396), _u19398)) | ~hBOOL(hAPP(hAPP(c_member(_u19390), _u19379), hAPP(c_List_Oset(_u19390), skolem499(_u19398, _u19396, _u19394, _u19392, _u19390)))) | ~hBOOL(hAPP(_u19396, _u19379)) )).
% 43.37/43.61 cnf(fact_Cons__eq__filter__iff-3, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394) != hAPP(c_List_Ofilter(_u19390, _u19396), _u19398)) | ( _u19398 = hAPP(hAPP(c_List_Oappend(_u19390), skolem499(_u19398, _u19396, _u19394, _u19392, _u19390)), hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), skolem500(_u19398, _u19396, _u19394, _u19392, _u19390)))) )).
% 43.37/43.61 cnf(fact_Cons__eq__filter__iff-4, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394) != hAPP(c_List_Ofilter(_u19390, _u19396), _u19398)) | ( _u19394 = hAPP(c_List_Ofilter(_u19390, _u19396), skolem500(_u19398, _u19396, _u19394, _u19392, _u19390))) )).
% 43.37/43.61 cnf(fact_Cons__eq__filter__iff-5, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19395) = hAPP(c_List_Ofilter(_u19391, _u19397), _u19399)) | ~hBOOL(hAPP(_u19397, _u19393)) | ( _u19399 != hAPP(hAPP(c_List_Oappend(_u19391), _u19384), hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19383))) | ( _u19395 != hAPP(c_List_Ofilter(_u19391, _u19397), _u19383)) | hBOOL(hAPP(hAPP(c_member(_u19391), skolem501(_u19399, _u19397, _u19395, _u19393, _u19391, _u19384)), hAPP(c_List_Oset(_u19391), _u19384))) )).
% 43.37/43.61 cnf(fact_Cons__eq__filter__iff-6, axiom, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19395) = hAPP(c_List_Ofilter(_u19391, _u19397), _u19399)) | ~hBOOL(hAPP(_u19397, _u19393)) | ( _u19399 != hAPP(hAPP(c_List_Oappend(_u19391), _u19384), hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19383))) | ( _u19395 != hAPP(c_List_Ofilter(_u19391, _u19397), _u19383)) | hBOOL(hAPP(_u19397, skolem501(_u19399, _u19397, _u19395, _u19393, _u19391, _u19384))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_filter__eq__Cons__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_filter__eq__Cons__iff-1, axiom, ( ( hAPP(c_List_Ofilter(_u19411, _u19413), _u19415) != hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), _u19419)) | hBOOL(hAPP(_u19413, _u19417)) )).
% 43.37/43.61 cnf(fact_filter__eq__Cons__iff-2, axiom, ( ( hAPP(c_List_Ofilter(_u19411, _u19413), _u19415) != hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), _u19419)) | ~hBOOL(hAPP(hAPP(c_member(_u19411), _u19400), hAPP(c_List_Oset(_u19411), skolem502(_u19419, _u19417, _u19415, _u19413, _u19411)))) | ~hBOOL(hAPP(_u19413, _u19400)) )).
% 43.37/43.61 cnf(fact_filter__eq__Cons__iff-3, axiom, ( ( hAPP(c_List_Ofilter(_u19411, _u19413), _u19415) != hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), _u19419)) | ( _u19415 = hAPP(hAPP(c_List_Oappend(_u19411), skolem502(_u19419, _u19417, _u19415, _u19413, _u19411)), hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), skolem503(_u19419, _u19417, _u19415, _u19413, _u19411)))) )).
% 43.37/43.61 cnf(fact_filter__eq__Cons__iff-4, axiom, ( ( hAPP(c_List_Ofilter(_u19411, _u19413), _u19415) != hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), _u19419)) | ( _u19419 = hAPP(c_List_Ofilter(_u19411, _u19413), skolem503(_u19419, _u19417, _u19415, _u19413, _u19411))) )).
% 43.37/43.61 cnf(fact_filter__eq__Cons__iff-5, axiom, ( ( hAPP(c_List_Ofilter(_u19412, _u19414), _u19416) = hAPP(hAPP(c_List_Olist_OCons(_u19412), _u19418), _u19420)) | ~hBOOL(hAPP(_u19414, _u19418)) | ( _u19416 != hAPP(hAPP(c_List_Oappend(_u19412), _u19405), hAPP(hAPP(c_List_Olist_OCons(_u19412), _u19418), _u19404))) | ( _u19420 != hAPP(c_List_Ofilter(_u19412, _u19414), _u19404)) | hBOOL(hAPP(hAPP(c_member(_u19412), skolem504(_u19420, _u19418, _u19416, _u19414, _u19412, _u19405)), hAPP(c_List_Oset(_u19412), _u19405))) )).
% 43.37/43.61 cnf(fact_filter__eq__Cons__iff-6, axiom, ( ( hAPP(c_List_Ofilter(_u19412, _u19414), _u19416) = hAPP(hAPP(c_List_Olist_OCons(_u19412), _u19418), _u19420)) | ~hBOOL(hAPP(_u19414, _u19418)) | ( _u19416 != hAPP(hAPP(c_List_Oappend(_u19412), _u19405), hAPP(hAPP(c_List_Olist_OCons(_u19412), _u19418), _u19404))) | ( _u19420 != hAPP(c_List_Ofilter(_u19412, _u19414), _u19404)) | hBOOL(hAPP(_u19414, skolem504(_u19420, _u19418, _u19416, _u19414, _u19412, _u19405))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ball__nth ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ball__nth-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19423)), _u19424))) | hBOOL(hAPP(_u19425, hAPP(hAPP(c_List_Onth(_u19423), _u19424), _u19422))) | hBOOL(hAPP(hAPP(c_member(_u19423), skolem505(_u19425, _u19424, _u19423, _u19422)), hAPP(c_List_Oset(_u19423), _u19424))) )).
% 43.37/43.61 cnf(fact_list__ball__nth-2, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19423)), _u19424))) | hBOOL(hAPP(_u19425, hAPP(hAPP(c_List_Onth(_u19423), _u19424), _u19422))) | ~hBOOL(hAPP(_u19425, skolem505(_u19425, _u19424, _u19423, _u19422))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sorted_OCons ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sorted_OCons-1, axiom, ( ~class_Orderings_Olinorder(_u19427) | ~c_List_Olinorder__class_Osorted(_u19427, _u19428) | c_List_Olinorder__class_Osorted(_u19427, hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19429), _u19428)) | hBOOL(hAPP(hAPP(c_member(_u19427), skolem506(_u19429, _u19428, _u19427)), hAPP(c_List_Oset(_u19427), _u19428))) )).
% 43.37/43.61 cnf(fact_sorted_OCons-2, axiom, ( ~class_Orderings_Olinorder(_u19427) | ~c_List_Olinorder__class_Osorted(_u19427, _u19428) | c_List_Olinorder__class_Osorted(_u19427, hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19429), _u19428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19427), _u19429), skolem506(_u19429, _u19428, _u19427))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex__length ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex__length-1, axiom, ( ~c_List_Olist__ex(_u19435, _u19437, _u19439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem507(_u19439, _u19437, _u19435)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19435)), _u19439))) )).
% 43.37/43.61 cnf(fact_list__ex__length-2, axiom, ( ~c_List_Olist__ex(_u19435, _u19437, _u19439) | hBOOL(hAPP(_u19437, hAPP(hAPP(c_List_Onth(_u19435), _u19439), skolem507(_u19439, _u19437, _u19435)))) )).
% 43.37/43.61 cnf(fact_list__ex__length-3, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19431), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19436)), _u19440))) | ~hBOOL(hAPP(_u19438, hAPP(hAPP(c_List_Onth(_u19436), _u19440), _u19431))) | c_List_Olist__ex(_u19436, _u19438, _u19440) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_in__set__conv__decomp__first ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_in__set__conv__decomp__first-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19448), _u19450), hAPP(c_List_Oset(_u19448), _u19452))) | ( _u19452 = hAPP(hAPP(c_List_Oappend(_u19448), skolem508(_u19452, _u19450, _u19448)), hAPP(hAPP(c_List_Olist_OCons(_u19448), _u19450), skolem509(_u19452, _u19450, _u19448)))) )).
% 43.37/43.61 cnf(fact_in__set__conv__decomp__first-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19448), _u19450), hAPP(c_List_Oset(_u19448), _u19452))) | ~hBOOL(hAPP(hAPP(c_member(_u19448), _u19450), hAPP(c_List_Oset(_u19448), skolem508(_u19452, _u19450, _u19448)))) )).
% 43.37/43.61 cnf(fact_in__set__conv__decomp__first-3, axiom, ( ( _u19453 != hAPP(hAPP(c_List_Oappend(_u19449), _u19444), hAPP(hAPP(c_List_Olist_OCons(_u19449), _u19451), _u19443))) | hBOOL(hAPP(hAPP(c_member(_u19449), _u19451), hAPP(c_List_Oset(_u19449), _u19444))) | hBOOL(hAPP(hAPP(c_member(_u19449), _u19451), hAPP(c_List_Oset(_u19449), _u19453))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex__simps_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex__simps_I1_J-1, axiom, ( ~c_List_Olist__ex(_u19458, _u19460, hAPP(hAPP(c_List_Olist_OCons(_u19458), _u19462), _u19464)) | hBOOL(hAPP(_u19460, _u19462)) | c_List_Olist__ex(_u19458, _u19460, _u19464) )).
% 43.37/43.61 cnf(fact_list__ex__simps_I1_J-2, axiom, ( c_List_Olist__ex(_u19459, _u19461, hAPP(hAPP(c_List_Olist_OCons(_u19459), _u19463), _u19465)) | ~hBOOL(hAPP(_u19461, _u19463)) )).
% 43.37/43.61 cnf(fact_list__ex__simps_I1_J-3, axiom, ( c_List_Olist__ex(_u19459, _u19461, hAPP(hAPP(c_List_Olist_OCons(_u19459), _u19463), _u19465)) | ~c_List_Olist__ex(_u19459, _u19461, _u19465) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex__rev ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex__rev-1, axiom, ( ~c_List_Olist__ex(_u19469, _u19471, hAPP(c_List_Orev(_u19469), _u19473)) | c_List_Olist__ex(_u19469, _u19471, _u19473) )).
% 43.37/43.61 cnf(fact_list__ex__rev-2, axiom, ( ~c_List_Olist__ex(_u19470, _u19472, _u19474) | c_List_Olist__ex(_u19470, _u19472, hAPP(c_List_Orev(_u19470), _u19474)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex__iff-1, axiom, ( ~c_List_Olist__ex(_u19480, _u19482, _u19484) | hBOOL(hAPP(hAPP(c_member(_u19480), skolem510(_u19484, _u19482, _u19480)), hAPP(c_List_Oset(_u19480), _u19484))) )).
% 43.37/43.61 cnf(fact_list__ex__iff-2, axiom, ( ~c_List_Olist__ex(_u19480, _u19482, _u19484) | hBOOL(hAPP(_u19482, skolem510(_u19484, _u19482, _u19480))) )).
% 43.37/43.61 cnf(fact_list__ex__iff-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19481), _u19476), hAPP(c_List_Oset(_u19481), _u19485))) | ~hBOOL(hAPP(_u19483, _u19476)) | c_List_Olist__ex(_u19481, _u19483, _u19485) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex__append ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex__append-1, axiom, ( ~c_List_Olist__ex(_u19490, _u19492, hAPP(hAPP(c_List_Oappend(_u19490), _u19494), _u19496)) | c_List_Olist__ex(_u19490, _u19492, _u19494) | c_List_Olist__ex(_u19490, _u19492, _u19496) )).
% 43.37/43.61 cnf(fact_list__ex__append-2, axiom, ( c_List_Olist__ex(_u19491, _u19493, hAPP(hAPP(c_List_Oappend(_u19491), _u19495), _u19497)) | ~c_List_Olist__ex(_u19491, _u19493, _u19495) )).
% 43.37/43.61 cnf(fact_list__ex__append-3, axiom, ( c_List_Olist__ex(_u19491, _u19493, hAPP(hAPP(c_List_Oappend(_u19491), _u19495), _u19497)) | ~c_List_Olist__ex(_u19491, _u19493, _u19497) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex__simps_I2_J-1, axiom, ( ~c_List_Olist__ex(_u19498, _u19499, c_List_Olist_ONil(_u19498)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_in__set__conv__decomp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_in__set__conv__decomp-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19507), _u19509), hAPP(c_List_Oset(_u19507), _u19511))) | ( _u19511 = hAPP(hAPP(c_List_Oappend(_u19507), skolem511(_u19511, _u19509, _u19507)), hAPP(hAPP(c_List_Olist_OCons(_u19507), _u19509), skolem512(_u19511, _u19509, _u19507)))) )).
% 43.37/43.61 cnf(fact_in__set__conv__decomp-2, axiom, ( ( _u19512 != hAPP(hAPP(c_List_Oappend(_u19508), _u19503), hAPP(hAPP(c_List_Olist_OCons(_u19508), _u19510), _u19502))) | hBOOL(hAPP(hAPP(c_member(_u19508), _u19510), hAPP(c_List_Oset(_u19508), _u19512))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_in__set__conv__decomp__last ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_in__set__conv__decomp__last-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19522), hAPP(c_List_Oset(_u19520), _u19524))) | ( _u19524 = hAPP(hAPP(c_List_Oappend(_u19520), skolem513(_u19524, _u19522, _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19520), _u19522), skolem514(_u19524, _u19522, _u19520)))) )).
% 43.37/43.61 cnf(fact_in__set__conv__decomp__last-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19522), hAPP(c_List_Oset(_u19520), _u19524))) | ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19522), hAPP(c_List_Oset(_u19520), skolem514(_u19524, _u19522, _u19520)))) )).
% 43.37/43.61 cnf(fact_in__set__conv__decomp__last-3, axiom, ( ( _u19525 != hAPP(hAPP(c_List_Oappend(_u19521), _u19516), hAPP(hAPP(c_List_Olist_OCons(_u19521), _u19523), _u19515))) | hBOOL(hAPP(hAPP(c_member(_u19521), _u19523), hAPP(c_List_Oset(_u19521), _u19515))) | hBOOL(hAPP(hAPP(c_member(_u19521), _u19523), hAPP(c_List_Oset(_u19521), _u19525))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__all__length ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__all__length-1, axiom, ( ~c_List_Olist__all(_u19531, _u19533, _u19535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19526), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19531)), _u19535))) | hBOOL(hAPP(_u19533, hAPP(hAPP(c_List_Onth(_u19531), _u19535), _u19526))) )).
% 43.37/43.61 cnf(fact_list__all__length-2, axiom, ( c_List_Olist__all(_u19532, _u19534, _u19536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem515(_u19536, _u19534, _u19532)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19532)), _u19536))) )).
% 43.37/43.61 cnf(fact_list__all__length-3, axiom, ( c_List_Olist__all(_u19532, _u19534, _u19536) | ~hBOOL(hAPP(_u19534, hAPP(hAPP(c_List_Onth(_u19532), _u19536), skolem515(_u19536, _u19534, _u19532)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_finite__induct ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_finite__induct-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), _u19540)) | ~hBOOL(hAPP(_u19541, c_Orderings_Obot__class_Obot(tc_fun(_u19539, tc_HOL_Obool)))) | hBOOL(hAPP(_u19541, _u19540)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), skolem517(_u19541, _u19540, _u19539))) )).
% 43.37/43.61 cnf(fact_finite__induct-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), _u19540)) | ~hBOOL(hAPP(_u19541, c_Orderings_Obot__class_Obot(tc_fun(_u19539, tc_HOL_Obool)))) | hBOOL(hAPP(_u19541, _u19540)) | ~hBOOL(hAPP(hAPP(c_member(_u19539), skolem516(_u19541, _u19540, _u19539)), skolem517(_u19541, _u19540, _u19539))) )).
% 43.37/43.61 cnf(fact_finite__induct-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), _u19540)) | ~hBOOL(hAPP(_u19541, c_Orderings_Obot__class_Obot(tc_fun(_u19539, tc_HOL_Obool)))) | hBOOL(hAPP(_u19541, _u19540)) | hBOOL(hAPP(_u19541, skolem517(_u19541, _u19540, _u19539))) )).
% 43.37/43.61 cnf(fact_finite__induct-4, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), _u19540)) | ~hBOOL(hAPP(_u19541, c_Orderings_Obot__class_Obot(tc_fun(_u19539, tc_HOL_Obool)))) | hBOOL(hAPP(_u19541, _u19540)) | ~hBOOL(hAPP(_u19541, hAPP(hAPP(c_Set_Oinsert(_u19539), skolem516(_u19541, _u19540, _u19539)), skolem517(_u19541, _u19540, _u19539)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__all__simps_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__all__simps_I1_J-1, axiom, ( ~c_List_Olist__all(_u19546, _u19548, hAPP(hAPP(c_List_Olist_OCons(_u19546), _u19550), _u19552)) | hBOOL(hAPP(_u19548, _u19550)) )).
% 43.37/43.61 cnf(fact_list__all__simps_I1_J-2, axiom, ( ~c_List_Olist__all(_u19546, _u19548, hAPP(hAPP(c_List_Olist_OCons(_u19546), _u19550), _u19552)) | c_List_Olist__all(_u19546, _u19548, _u19552) )).
% 43.37/43.61 cnf(fact_list__all__simps_I1_J-3, axiom, ( ~hBOOL(hAPP(_u19549, _u19551)) | ~c_List_Olist__all(_u19547, _u19549, _u19553) | c_List_Olist__all(_u19547, _u19549, hAPP(hAPP(c_List_Olist_OCons(_u19547), _u19551), _u19553)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__all__rev ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__all__rev-1, axiom, ( ~c_List_Olist__all(_u19557, _u19559, hAPP(c_List_Orev(_u19557), _u19561)) | c_List_Olist__all(_u19557, _u19559, _u19561) )).
% 43.37/43.61 cnf(fact_list__all__rev-2, axiom, ( ~c_List_Olist__all(_u19558, _u19560, _u19562) | c_List_Olist__all(_u19558, _u19560, hAPP(c_List_Orev(_u19558), _u19562)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__all__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__all__iff-1, axiom, ( ~c_List_Olist__all(_u19568, _u19570, _u19572) | ~hBOOL(hAPP(hAPP(c_member(_u19568), _u19563), hAPP(c_List_Oset(_u19568), _u19572))) | hBOOL(hAPP(_u19570, _u19563)) )).
% 43.37/43.61 cnf(fact_list__all__iff-2, axiom, ( c_List_Olist__all(_u19569, _u19571, _u19573) | hBOOL(hAPP(hAPP(c_member(_u19569), skolem518(_u19573, _u19571, _u19569)), hAPP(c_List_Oset(_u19569), _u19573))) )).
% 43.37/43.61 cnf(fact_list__all__iff-3, axiom, ( c_List_Olist__all(_u19569, _u19571, _u19573) | ~hBOOL(hAPP(_u19571, skolem518(_u19573, _u19571, _u19569))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__all__append ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__all__append-1, axiom, ( ~c_List_Olist__all(_u19578, _u19580, hAPP(hAPP(c_List_Oappend(_u19578), _u19582), _u19584)) | c_List_Olist__all(_u19578, _u19580, _u19582) )).
% 43.37/43.61 cnf(fact_list__all__append-2, axiom, ( ~c_List_Olist__all(_u19578, _u19580, hAPP(hAPP(c_List_Oappend(_u19578), _u19582), _u19584)) | c_List_Olist__all(_u19578, _u19580, _u19584) )).
% 43.37/43.61 cnf(fact_list__all__append-3, axiom, ( ~c_List_Olist__all(_u19579, _u19581, _u19583) | ~c_List_Olist__all(_u19579, _u19581, _u19585) | c_List_Olist__all(_u19579, _u19581, hAPP(hAPP(c_List_Oappend(_u19579), _u19583), _u19585)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__all__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__all__simps_I2_J-1, axiom, ( c_List_Olist__all(_u19586, _u19587, c_List_Olist_ONil(_u19586)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Ball__set__list__all ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Ball__set__list__all-1, axiom, ( c_List_Olist__all(_u19593, _u19597, _u19595) | hBOOL(hAPP(hAPP(c_member(_u19593), skolem519(_u19597, _u19595, _u19593)), hAPP(c_List_Oset(_u19593), _u19595))) )).
% 43.37/43.61 cnf(fact_Ball__set__list__all-2, axiom, ( c_List_Olist__all(_u19593, _u19597, _u19595) | ~hBOOL(hAPP(_u19597, skolem519(_u19597, _u19595, _u19593))) )).
% 43.37/43.61 cnf(fact_Ball__set__list__all-3, axiom, ( ~c_List_Olist__all(_u19594, _u19598, _u19596) | ~hBOOL(hAPP(hAPP(c_member(_u19594), _u19589), hAPP(c_List_Oset(_u19594), _u19596))) | hBOOL(hAPP(_u19598, _u19589)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__all__iff__raw ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__all__iff__raw-1, axiom, ( ~c_List_Olist__all(_u19604, _u19606, _u19608) | ~hBOOL(hAPP(hAPP(c_member(_u19604), _u19599), hAPP(c_List_Oset(_u19604), _u19608))) | hBOOL(hAPP(_u19606, _u19599)) )).
% 43.37/43.61 cnf(fact_list__all__iff__raw-2, axiom, ( c_List_Olist__all(_u19605, _u19607, _u19609) | hBOOL(hAPP(hAPP(c_member(_u19605), skolem520(_u19609, _u19607, _u19605)), hAPP(c_List_Oset(_u19605), _u19609))) )).
% 43.37/43.61 cnf(fact_list__all__iff__raw-3, axiom, ( c_List_Olist__all(_u19605, _u19607, _u19609) | ~hBOOL(hAPP(_u19607, skolem520(_u19609, _u19607, _u19605))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex1__simps_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex1__simps_I2_J-1, axiom, ( ~c_List_Olist__ex1(_u19614, _u19616, hAPP(hAPP(c_List_Olist_OCons(_u19614), _u19618), _u19620)) | ~hBOOL(hAPP(_u19616, _u19618)) | c_List_Olist__all(_u19614, hAPP(hAPP(c_COMBS(_u19614, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19614), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19614), c_fNot), _u19616))), hAPP(c_fequal, _u19618)), _u19620) )).
% 43.37/43.61 cnf(fact_list__ex1__simps_I2_J-2, axiom, ( ~c_List_Olist__ex1(_u19614, _u19616, hAPP(hAPP(c_List_Olist_OCons(_u19614), _u19618), _u19620)) | hBOOL(hAPP(_u19616, _u19618)) | c_List_Olist__ex1(_u19614, _u19616, _u19620) )).
% 43.37/43.61 cnf(fact_list__ex1__simps_I2_J-3, axiom, ( c_List_Olist__ex1(_u19615, _u19617, hAPP(hAPP(c_List_Olist_OCons(_u19615), _u19619), _u19621)) | hBOOL(hAPP(_u19617, _u19619)) | ~c_List_Olist__ex1(_u19615, _u19617, _u19621) )).
% 43.37/43.61 cnf(fact_list__ex1__simps_I2_J-4, axiom, ( c_List_Olist__ex1(_u19615, _u19617, hAPP(hAPP(c_List_Olist_OCons(_u19615), _u19619), _u19621)) | ~c_List_Olist__all(_u19615, hAPP(hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19615), c_fNot), _u19617))), hAPP(c_fequal, _u19619)), _u19621) | ~hBOOL(hAPP(_u19617, _u19619)) )).
% 43.37/43.61 cnf(fact_list__ex1__simps_I2_J-5, axiom, ( c_List_Olist__ex1(_u19615, _u19617, hAPP(hAPP(c_List_Olist_OCons(_u19615), _u19619), _u19621)) | ~c_List_Olist__all(_u19615, hAPP(hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19615), c_fNot), _u19617))), hAPP(c_fequal, _u19619)), _u19621) | ~c_List_Olist__ex1(_u19615, _u19617, _u19621) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_measure__function__int ( axiom ) converted to clauses:
% 43.37/43.61 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))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex1__simps_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex1__simps_I1_J-1, axiom, ( ~c_List_Olist__ex1(_u19622, _u19623, c_List_Olist_ONil(_u19622)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_is__measure_Ointros ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_is__measure_Ointros-1, axiom, ( c_FunDef_Ois__measure(_u19624, _u19625) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_is__measure_Oequations ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_is__measure_Oequations-1, axiom, ( c_FunDef_Ois__measure(_u19626, _u19627) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_is__measure_Osimps ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_is__measure_Osimps-1, axiom, ( c_FunDef_Ois__measure(_u19628, _u19629) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_measure__size ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_measure__size-1, axiom, ( ~class_Nat_Osize(_u19630) | c_FunDef_Ois__measure(_u19630, c_Nat_Osize__class_Osize(_u19630)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_measure__snd ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_measure__snd-1, axiom, ( ~c_FunDef_Ois__measure(_u19631, _u19632) | c_FunDef_Ois__measure(tc_prod(_u19633, _u19631), hAPP(hAPP(c_COMBB(_u19631, tc_Nat_Onat, tc_prod(_u19633, _u19631)), _u19632), c_Product__Type_Osnd(_u19633, _u19631))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_measure__fst ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_measure__fst-1, axiom, ( ~c_FunDef_Ois__measure(_u19634, _u19635) | c_FunDef_Ois__measure(tc_prod(_u19634, _u19636), hAPP(hAPP(c_COMBB(_u19634, tc_Nat_Onat, tc_prod(_u19634, _u19636)), _u19635), c_Product__Type_Ofst(_u19634, _u19636))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex1__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex1__iff-1, axiom, ( ~c_List_Olist__ex1(_u19644, _u19646, _u19648) | hBOOL(hAPP(hAPP(c_member(_u19644), skolem521(_u19648, _u19646, _u19644)), hAPP(c_List_Oset(_u19644), _u19648))) )).
% 43.37/43.61 cnf(fact_list__ex1__iff-2, axiom, ( ~c_List_Olist__ex1(_u19644, _u19646, _u19648) | hBOOL(hAPP(_u19646, skolem521(_u19648, _u19646, _u19644))) )).
% 43.37/43.61 cnf(fact_list__ex1__iff-3, axiom, ( ~c_List_Olist__ex1(_u19644, _u19646, _u19648) | ~hBOOL(hAPP(hAPP(c_member(_u19644), _u19637), hAPP(c_List_Oset(_u19644), _u19648))) | ~hBOOL(hAPP(_u19646, _u19637)) | ( _u19637 = skolem521(_u19648, _u19646, _u19644)) )).
% 43.37/43.61 cnf(fact_list__ex1__iff-4, axiom, ( c_List_Olist__ex1(_u19645, _u19647, _u19649) | ~hBOOL(hAPP(hAPP(c_member(_u19645), _u19640), hAPP(c_List_Oset(_u19645), _u19649))) | ~hBOOL(hAPP(_u19647, _u19640)) | hBOOL(hAPP(hAPP(c_member(_u19645), skolem522(_u19649, _u19647, _u19645, _u19640)), hAPP(c_List_Oset(_u19645), _u19649))) )).
% 43.37/43.61 cnf(fact_list__ex1__iff-5, axiom, ( c_List_Olist__ex1(_u19645, _u19647, _u19649) | ~hBOOL(hAPP(hAPP(c_member(_u19645), _u19640), hAPP(c_List_Oset(_u19645), _u19649))) | ~hBOOL(hAPP(_u19647, _u19640)) | hBOOL(hAPP(_u19647, skolem522(_u19649, _u19647, _u19645, _u19640))) )).
% 43.37/43.61 cnf(fact_list__ex1__iff-6, axiom, ( c_List_Olist__ex1(_u19645, _u19647, _u19649) | ~hBOOL(hAPP(hAPP(c_member(_u19645), _u19640), hAPP(c_List_Oset(_u19645), _u19649))) | ~hBOOL(hAPP(_u19647, _u19640)) | ( skolem522(_u19649, _u19647, _u19645, _u19640) != _u19640) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_transfer__morphism__int__nat ( axiom ) converted to clauses:
% 43.37/43.61 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)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__DSequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__DSequence_Oneg__decr__bind__def-1, axiom, ( ( _u19655 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19657, _u19659, _u19661, _u19663), _u19655) = c_Lazy__Sequence_Ohit__bound(_u19659)) )).
% 43.37/43.61 cnf(fact_New__DSequence_Oneg__decr__bind__def-2, axiom, ( ( _u19656 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19658, _u19660, _u19662, _u19664), _u19656) = c_Lazy__Sequence_Ohb__bind(_u19658, _u19660, hAPP(_u19662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19656), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19658, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19660))), _u19664), _u19656))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bool_Osize_I3_J ( axiom ) converted to clauses:
% 43.37/43.61 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)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bool_Osize_I4_J ( axiom ) converted to clauses:
% 43.37/43.61 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)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__Random__Sequence_Oneg__decr__bind__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__Random__Sequence_Oneg__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19665, _u19666, _u19667, _u19668, _u19669, _u19670, _u19671) = c_New__DSequence_Oneg__decr__bind(_u19665, _u19666, hAPP(hAPP(hAPP(_u19667, _u19669), _u19670), _u19671), hAPP(hAPP(c_COMBC(_u19665, 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(_u19666)))), hAPP(hAPP(c_COMBC(_u19665, 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(_u19666))))), hAPP(hAPP(c_COMBC(_u19665, 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(_u19666)))))), _u19668), _u19669)), _u19670)), _u19671))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__DSequence_Oneg__bind__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__DSequence_Oneg__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19672, _u19673, _u19674, _u19675), _u19676) = c_Lazy__Sequence_Ohb__bind(_u19672, _u19673, hAPP(_u19674, _u19676), hAPP(hAPP(c_COMBC(_u19672, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19673))), _u19675), _u19676))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_neg__bind__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_neg__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19677, _u19678, _u19679, _u19680), _u19681), _u19682), _u19683) = c_New__DSequence_Oneg__bind(_u19677, _u19678, hAPP(hAPP(hAPP(_u19679, _u19681), _u19682), _u19683), hAPP(hAPP(c_COMBC(_u19677, 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(_u19678)))), hAPP(hAPP(c_COMBC(_u19677, 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(_u19678))))), hAPP(hAPP(c_COMBC(_u19677, 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(_u19678)))))), _u19680), _u19681)), _u19682)), _u19683))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__DSequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__DSequence_Opos__decr__bind__def-1, axiom, ( ( _u19689 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19691, _u19693, _u19695, _u19697), _u19689) = c_Lazy__Sequence_Oempty(_u19693)) )).
% 43.37/43.61 cnf(fact_New__DSequence_Opos__decr__bind__def-2, axiom, ( ( _u19690 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19692, _u19694, _u19696, _u19698), _u19690) = hAPP(c_Lazy__Sequence_Obind(_u19692, _u19694, hAPP(_u19696, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19690), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19692, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19694)), _u19698), _u19690))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__Random__Sequence_Opos__decr__bind__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__Random__Sequence_Opos__decr__bind__def-1, axiom, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19699, _u19700, _u19701, _u19702, _u19703, _u19704, _u19705) = c_New__DSequence_Opos__decr__bind(_u19699, _u19700, hAPP(hAPP(hAPP(_u19701, _u19703), _u19704), _u19705), hAPP(hAPP(c_COMBC(_u19699, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19700))), hAPP(hAPP(c_COMBC(_u19699, 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(_u19700)))), hAPP(hAPP(c_COMBC(_u19699, 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(_u19700))))), _u19702), _u19703)), _u19704)), _u19705))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__DSequence_Opos__empty__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__DSequence_Opos__empty__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__empty(_u19706), _u19707) = c_Lazy__Sequence_Oempty(_u19706)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pos__empty__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pos__empty__def-1, axiom, ( ( c_New__Random__Sequence_Opos__empty(_u19708, _u19709, _u19710, _u19711) = c_New__DSequence_Opos__empty(_u19708)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__DSequence_Opos__bind__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__DSequence_Opos__bind__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__bind(_u19712, _u19713, _u19714, _u19715), _u19716) = hAPP(c_Lazy__Sequence_Obind(_u19712, _u19713, hAPP(_u19714, _u19716)), hAPP(hAPP(c_COMBC(_u19712, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19713)), _u19715), _u19716))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pos__bind__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pos__bind__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19717, _u19718, _u19719, _u19720), _u19721), _u19722), _u19723) = c_New__DSequence_Opos__bind(_u19717, _u19718, hAPP(hAPP(hAPP(_u19719, _u19721), _u19722), _u19723), hAPP(hAPP(c_COMBC(_u19717, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19718))), hAPP(hAPP(c_COMBC(_u19717, 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(_u19718)))), hAPP(hAPP(c_COMBC(_u19717, 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(_u19718))))), _u19720), _u19721)), _u19722)), _u19723))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_neg__map__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_neg__map__def-1, axiom, ( ( c_New__Random__Sequence_Oneg__map(_u19724, _u19725, _u19726, _u19727) = c_New__Random__Sequence_Oneg__bind(_u19724, _u19725, _u19727, hAPP(c_Fun_Ocomp(_u19725, 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(_u19725)))))), _u19724, c_New__Random__Sequence_Oneg__single(_u19725)), _u19726))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_neg__single__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_neg__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19728), _u19729), _u19730), _u19731), _u19732) = c_New__DSequence_Oneg__single(_u19728, _u19729)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pos__map__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pos__map__def-1, axiom, ( ( c_New__Random__Sequence_Opos__map(_u19733, _u19734, _u19735, _u19736) = c_New__Random__Sequence_Opos__bind(_u19733, _u19734, _u19736, hAPP(c_Fun_Ocomp(_u19734, 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(_u19734))))), _u19733, c_New__Random__Sequence_Opos__single(_u19734)), _u19735))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__DSequence_Oneg__single__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__DSequence_Oneg__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Oneg__single(_u19737, _u19738), _u19739) = c_Lazy__Sequence_Ohb__single(_u19737, _u19738)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pos__single__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pos__single__def-1, axiom, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19740), _u19741), _u19742), _u19743), _u19744) = c_New__DSequence_Opos__single(_u19740, _u19741)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__DSequence_Opos__single__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__DSequence_Opos__single__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__single(_u19745, _u19746), _u19747) = hAPP(c_Lazy__Sequence_Osingle(_u19745), _u19746)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_length__splice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_length__splice-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19748)), c_List_Osplice(_u19748, _u19749, _u19750)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19748)), _u19749)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19748)), _u19750))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_splice_Osimps_I3_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_splice_Osimps_I3_J-1, axiom, ( ( c_List_Osplice(_u19751, hAPP(hAPP(c_List_Olist_OCons(_u19751), _u19752), _u19753), hAPP(hAPP(c_List_Olist_OCons(_u19751), _u19754), _u19755)) = hAPP(hAPP(c_List_Olist_OCons(_u19751), _u19752), hAPP(hAPP(c_List_Olist_OCons(_u19751), _u19754), c_List_Osplice(_u19751, _u19753, _u19755)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_splice_Osimps_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_splice_Osimps_I1_J-1, axiom, ( ( c_List_Osplice(_u19756, c_List_Olist_ONil(_u19756), _u19757) = _u19757) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_splice__Nil2 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_splice__Nil2-1, axiom, ( ( c_List_Osplice(_u19758, _u19759, c_List_Olist_ONil(_u19758)) = _u19759) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_splice_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_splice_Osimps_I2_J-1, axiom, ( ( c_List_Osplice(_u19760, hAPP(hAPP(c_List_Olist_OCons(_u19760), _u19761), _u19762), c_List_Olist_ONil(_u19760)) = hAPP(hAPP(c_List_Olist_OCons(_u19760), _u19761), _u19762)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_ ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_-1, axiom, ( ( c_Lazy__Sequence_Oproduct(_u19763, _u19764, _u19765, _u19766) = hAPP(c_Lazy__Sequence_Obind(_u19763, tc_prod(_u19763, _u19764), _u19765), hAPP(hAPP(c_COMBB(tc_fun(_u19764, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19763, _u19764))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19763, _u19764)), _u19763), c_Lazy__Sequence_Obind(_u19764, tc_prod(_u19763, _u19764), _u19766)), hAPP(hAPP(c_COMBB(tc_fun(_u19764, tc_prod(_u19763, _u19764)), tc_fun(_u19764, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19763, _u19764))), _u19763), hAPP(c_COMBB(tc_prod(_u19763, _u19764), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19763, _u19764)), _u19764), c_Lazy__Sequence_Osingle(tc_prod(_u19763, _u19764)))), c_Product__Type_OPair(_u19763, _u19764))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_acyclicP__converse ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_acyclicP__converse-1, axiom, ( ~c_Wellfounded_Oacyclic(_u19769, hAPP(c_Set_OCollect(tc_prod(_u19769, _u19769)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19769, _u19769, tc_HOL_Obool), c_Predicate_Oconversep(_u19769, _u19769, _u19771)))) | c_Wellfounded_Oacyclic(_u19769, hAPP(c_Set_OCollect(tc_prod(_u19769, _u19769)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19769, _u19769, tc_HOL_Obool), _u19771))) )).
% 43.37/43.61 cnf(fact_acyclicP__converse-2, axiom, ( ~c_Wellfounded_Oacyclic(_u19770, hAPP(c_Set_OCollect(tc_prod(_u19770, _u19770)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19770, _u19770, tc_HOL_Obool), _u19772))) | c_Wellfounded_Oacyclic(_u19770, hAPP(c_Set_OCollect(tc_prod(_u19770, _u19770)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19770, _u19770, tc_HOL_Obool), c_Predicate_Oconversep(_u19770, _u19770, _u19772)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_converse__pred__comp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_converse__pred__comp-1, axiom, ( ( c_Predicate_Oconversep(_u19773, _u19774, c_Predicate_Opred__comp(_u19773, _u19775, _u19774, _u19776, _u19777)) = c_Predicate_Opred__comp(_u19774, _u19775, _u19773, c_Predicate_Oconversep(_u19775, _u19774, _u19777), c_Predicate_Oconversep(_u19773, _u19775, _u19776))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_conversep__noteq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_conversep__noteq-1, axiom, ( ( _u19783 != _u19785) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19781, _u19781, hAPP(hAPP(c_COMBB(tc_fun(_u19781, tc_HOL_Obool), tc_fun(_u19781, tc_HOL_Obool), _u19781), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19781), c_fNot)), c_fequal)), _u19783), _u19785)) )).
% 43.37/43.61 cnf(fact_conversep__noteq-2, axiom, ( ( _u19784 = _u19786) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19782, _u19782, hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(_u19782, tc_HOL_Obool), _u19782), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19782), c_fNot)), c_fequal)), _u19784), _u19786)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_conversep__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_conversep__eq-1, axiom, ( ( c_Predicate_Oconversep(_u19787, _u19787, c_fequal) = c_fequal) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_conversep__conversep ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_conversep__conversep-1, axiom, ( ( c_Predicate_Oconversep(_u19788, _u19789, c_Predicate_Oconversep(_u19789, _u19788, _u19790)) = _u19790) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_conversep__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_conversep__iff-1, axiom, ( hBOOL(hAPP(hAPP(_u19800, _u19804), _u19802)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19796, _u19798, _u19800), _u19802), _u19804)) )).
% 43.37/43.61 cnf(fact_conversep__iff-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19801, _u19805), _u19803)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19797, _u19799, _u19801), _u19803), _u19805)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_conversep_Oequations ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_conversep_Oequations-1, axiom, ( hBOOL(hAPP(hAPP(_u19815, _u19819), _u19817)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19811, _u19813, _u19815), _u19817), _u19819)) )).
% 43.37/43.61 cnf(fact_conversep_Oequations-2, axiom, ( ~hBOOL(hAPP(hAPP(_u19816, _u19820), _u19818)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19812, _u19814, _u19816), _u19818), _u19820)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_conversep_Ointros ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_conversep_Ointros-1, axiom, ( ~hBOOL(hAPP(hAPP(_u19821, _u19822), _u19823)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19824, _u19825, _u19821), _u19823), _u19822)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_conversepD ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_conversepD-1, axiom, ( hBOOL(hAPP(hAPP(_u19828, _u19830), _u19829)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19826, _u19827, _u19828), _u19829), _u19830)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_converse__join ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_converse__join-1, axiom, ( ( c_Predicate_Oconversep(_u19831, _u19832, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19831, tc_fun(_u19832, tc_HOL_Obool))), _u19833), _u19834)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19832, tc_fun(_u19831, tc_HOL_Obool))), c_Predicate_Oconversep(_u19831, _u19832, _u19833)), c_Predicate_Oconversep(_u19831, _u19832, _u19834))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_converse__meet ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_converse__meet-1, axiom, ( ( c_Predicate_Oconversep(_u19835, _u19836, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19835, tc_fun(_u19836, tc_HOL_Obool))), _u19837), _u19838)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19836, tc_fun(_u19835, tc_HOL_Obool))), c_Predicate_Oconversep(_u19835, _u19836, _u19837)), c_Predicate_Oconversep(_u19835, _u19836, _u19838))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_conversep__converse__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_conversep__converse__eq-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19844, _u19846, hAPP(hAPP(c_COMBC(_u19844, tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_fun(_u19846, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19846, tc_fun(tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_fun(_u19846, tc_HOL_Obool)), _u19844), c_COMBC(_u19846, tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19846, tc_prod(_u19844, _u19846)), tc_fun(_u19846, tc_fun(tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_HOL_Obool)), _u19844), hAPP(c_COMBB(tc_prod(_u19844, _u19846), tc_fun(tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_HOL_Obool), _u19846), c_member(tc_prod(_u19844, _u19846)))), c_Product__Type_OPair(_u19844, _u19846)))), _u19848)), _u19850), _u19852)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19846, _u19844)), hAPP(hAPP(c_Product__Type_OPair(_u19846, _u19844), _u19850), _u19852)), hAPP(c_Relation_Oconverse(_u19844, _u19846), _u19848))) )).
% 43.37/43.61 cnf(fact_conversep__converse__eq-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19847, _u19845)), hAPP(hAPP(c_Product__Type_OPair(_u19847, _u19845), _u19851), _u19853)), hAPP(c_Relation_Oconverse(_u19845, _u19847), _u19849))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19845, _u19847, hAPP(hAPP(c_COMBC(_u19845, tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_fun(_u19847, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19847, tc_fun(tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_fun(_u19847, tc_HOL_Obool)), _u19845), c_COMBC(_u19847, tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19847, tc_prod(_u19845, _u19847)), tc_fun(_u19847, tc_fun(tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_HOL_Obool)), _u19845), hAPP(c_COMBB(tc_prod(_u19845, _u19847), tc_fun(tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_HOL_Obool), _u19847), c_member(tc_prod(_u19845, _u19847)))), c_Product__Type_OPair(_u19845, _u19847)))), _u19849)), _u19851), _u19853)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_small__lazy__list_Osimps ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_small__lazy__list_Osimps-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19854) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19854), _u19855) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19854), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19854)), c_List_Olist_ONil(_u19854)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19854))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19855)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19854, tc_List_Olist(_u19854)), tc_List_Olist(_u19854), c_Lazy__Sequence_Oproduct(_u19854, tc_List_Olist(_u19854), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19854, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19855), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19854), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19855), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19854, tc_List_Olist(_u19854), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19854))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19854), tc_List_Olist(_u19854)), tc_fun(tc_List_Olist(_u19854), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19854))), _u19854), hAPP(c_COMBB(tc_List_Olist(_u19854), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19854)), tc_List_Olist(_u19854)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19854)))), c_List_Olist_OCons(_u19854))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19854))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_tl__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_tl__replicate-1, axiom, ( ( _u19856 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19857), c_List_Oreplicate(_u19857, _u19856, _u19858)) = c_List_Oreplicate(_u19857, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19856), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19858)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_small__lazy__prod__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_small__lazy__prod__def-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u19859) | ~class_Lazy__Sequence_Osmall__lazy(_u19860) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19859, _u19860), _u19861) = c_Lazy__Sequence_Oproduct(_u19859, _u19860, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19859, _u19861), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19860, _u19861))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_replicate__length__filter ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_replicate__length__filter-1, axiom, ( ( c_List_Oreplicate(_u19862, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19862)), hAPP(c_List_Ofilter(_u19862, hAPP(c_fequal, _u19863)), _u19864)), _u19863) = hAPP(c_List_Ofilter(_u19862, hAPP(c_fequal, _u19863)), _u19864)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_length__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_length__replicate-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19865)), c_List_Oreplicate(_u19865, _u19866, _u19867)) = _u19866) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_map__replicate__const ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_map__replicate__const-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19868, _u19869), hAPP(c_COMBK(_u19869, _u19868), _u19870)), _u19871) = c_List_Oreplicate(_u19869, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19868)), _u19871), _u19870)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_replicate__app__Cons__same ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_replicate__app__Cons__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19872), c_List_Oreplicate(_u19872, _u19873, _u19874)), hAPP(hAPP(c_List_Olist_OCons(_u19872), _u19874), _u19875)) = hAPP(hAPP(c_List_Olist_OCons(_u19872), _u19874), hAPP(hAPP(c_List_Oappend(_u19872), c_List_Oreplicate(_u19872, _u19873, _u19874)), _u19875))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_replicate__Suc ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_replicate__Suc-1, axiom, ( ( c_List_Oreplicate(_u19876, hAPP(c_Nat_OSuc, _u19877), _u19878) = hAPP(hAPP(c_List_Olist_OCons(_u19876), _u19878), c_List_Oreplicate(_u19876, _u19877, _u19878))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_rev__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_rev__replicate-1, axiom, ( ( hAPP(c_List_Orev(_u19879), c_List_Oreplicate(_u19879, _u19880, _u19881)) = c_List_Oreplicate(_u19879, _u19880, _u19881)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_last__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_last__replicate-1, axiom, ( ( _u19882 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19883, c_List_Oreplicate(_u19883, _u19882, _u19884)) = _u19884) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_take__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_take__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Otake(_u19885), _u19886), c_List_Oreplicate(_u19885, _u19887, _u19888)) = c_List_Oreplicate(_u19885, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19886), _u19887), _u19888)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_hd__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_hd__replicate-1, axiom, ( ( _u19889 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19890), c_List_Oreplicate(_u19890, _u19889, _u19891)) = _u19891) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_drop__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_drop__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Odrop(_u19892), _u19893), c_List_Oreplicate(_u19892, _u19894, _u19895)) = c_List_Oreplicate(_u19892, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19894), _u19893), _u19895)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_zip__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_zip__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Ozip(_u19896, _u19897), c_List_Oreplicate(_u19896, _u19898, _u19899)), c_List_Oreplicate(_u19897, _u19900, _u19901)) = c_List_Oreplicate(tc_prod(_u19896, _u19897), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19898), _u19900), hAPP(hAPP(c_Product__Type_OPair(_u19896, _u19897), _u19899), _u19901))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Bex__set__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Bex__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19908), _u19902), hAPP(c_List_Oset(_u19908), c_List_Oreplicate(_u19908, _u19910, _u19912)))) | ~hBOOL(hAPP(_u19914, _u19902)) | hBOOL(hAPP(_u19914, _u19912)) )).
% 43.37/43.61 cnf(fact_Bex__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19908), _u19902), hAPP(c_List_Oset(_u19908), c_List_Oreplicate(_u19908, _u19910, _u19912)))) | ~hBOOL(hAPP(_u19914, _u19902)) | ( _u19910 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.61 cnf(fact_Bex__set__replicate-3, axiom, ( ~hBOOL(hAPP(_u19915, _u19913)) | ( _u19911 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19909), skolem523(_u19915, _u19913, _u19911, _u19909)), hAPP(c_List_Oset(_u19909), c_List_Oreplicate(_u19909, _u19911, _u19913)))) )).
% 43.37/43.61 cnf(fact_Bex__set__replicate-4, axiom, ( ~hBOOL(hAPP(_u19915, _u19913)) | ( _u19911 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19915, skolem523(_u19915, _u19913, _u19911, _u19909))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Ball__set__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Ball__set__replicate-1, axiom, ( hBOOL(hAPP(_u19928, _u19926)) | ( _u19924 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19922), skolem524(_u19928, _u19926, _u19924, _u19922)), hAPP(c_List_Oset(_u19922), c_List_Oreplicate(_u19922, _u19924, _u19926)))) )).
% 43.37/43.61 cnf(fact_Ball__set__replicate-2, axiom, ( hBOOL(hAPP(_u19928, _u19926)) | ( _u19924 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19928, skolem524(_u19928, _u19926, _u19924, _u19922))) )).
% 43.37/43.61 cnf(fact_Ball__set__replicate-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19923), _u19917), hAPP(c_List_Oset(_u19923), c_List_Oreplicate(_u19923, _u19925, _u19927)))) | hBOOL(hAPP(_u19929, _u19917)) | ~hBOOL(hAPP(_u19929, _u19927)) )).
% 43.37/43.61 cnf(fact_Ball__set__replicate-4, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u19923), _u19917), hAPP(c_List_Oset(_u19923), c_List_Oreplicate(_u19923, _u19925, _u19927)))) | hBOOL(hAPP(_u19929, _u19917)) | ( _u19925 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_replicate__eq__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_replicate__eq__replicate-1, axiom, ( ( c_List_Oreplicate(_u19935, _u19937, _u19939) != c_List_Oreplicate(_u19935, _u19941, _u19943)) | ( _u19937 = _u19941) )).
% 43.37/43.61 cnf(fact_replicate__eq__replicate-2, axiom, ( ( c_List_Oreplicate(_u19935, _u19937, _u19939) != c_List_Oreplicate(_u19935, _u19941, _u19943)) | ( _u19937 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19939 = _u19943) )).
% 43.37/43.61 cnf(fact_replicate__eq__replicate-3, axiom, ( ( c_List_Oreplicate(_u19936, _u19938, _u19940) = c_List_Oreplicate(_u19936, _u19942, _u19944)) | ( _u19938 != _u19942) | ( _u19938 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.61 cnf(fact_replicate__eq__replicate-4, axiom, ( ( c_List_Oreplicate(_u19936, _u19938, _u19940) = c_List_Oreplicate(_u19936, _u19942, _u19944)) | ( _u19938 != _u19942) | ( _u19940 != _u19944) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_nth__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_nth__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19945), _u19946)) | ( hAPP(hAPP(c_List_Onth(_u19947), c_List_Oreplicate(_u19947, _u19946, _u19948)), _u19945) = _u19948) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_append__replicate__commute ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_append__replicate__commute-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u19949), c_List_Oreplicate(_u19949, _u19950, _u19951)), c_List_Oreplicate(_u19949, _u19952, _u19951)) = hAPP(hAPP(c_List_Oappend(_u19949), c_List_Oreplicate(_u19949, _u19952, _u19951)), c_List_Oreplicate(_u19949, _u19950, _u19951))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_replicate__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_replicate__add-1, axiom, ( ( c_List_Oreplicate(_u19953, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19954), _u19955), _u19956) = hAPP(hAPP(c_List_Oappend(_u19953), c_List_Oreplicate(_u19953, _u19954, _u19956)), c_List_Oreplicate(_u19953, _u19955, _u19956))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_filter__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_filter__replicate-1, axiom, ( ~hBOOL(hAPP(_u19961, _u19963)) | ( hAPP(c_List_Ofilter(_u19965, _u19961), c_List_Oreplicate(_u19965, _u19967, _u19963)) = c_List_Oreplicate(_u19965, _u19967, _u19963)) )).
% 43.37/43.61 cnf(fact_filter__replicate-2, axiom, ( hBOOL(hAPP(_u19962, _u19964)) | ( hAPP(c_List_Ofilter(_u19966, _u19962), c_List_Oreplicate(_u19966, _u19968, _u19964)) = c_List_Olist_ONil(_u19966)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_concat__replicate__trivial ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_concat__replicate__trivial-1, axiom, ( ( c_List_Oconcat(_u19969, c_List_Oreplicate(tc_List_Olist(_u19969), _u19970, c_List_Olist_ONil(_u19969))) = c_List_Olist_ONil(_u19969)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_replicate__0 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_replicate__0-1, axiom, ( ( c_List_Oreplicate(_u19971, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19972) = c_List_Olist_ONil(_u19971)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_empty__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_empty__replicate-1, axiom, ( ( _u19978 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19976) != c_List_Oreplicate(_u19976, _u19978, _u19980)) )).
% 43.37/43.61 cnf(fact_empty__replicate-2, axiom, ( ( _u19979 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19977) = c_List_Oreplicate(_u19977, _u19979, _u19981)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_replicate__empty ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_replicate__empty-1, axiom, ( ( _u19987 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19985, _u19987, _u19989) != c_List_Olist_ONil(_u19985)) )).
% 43.37/43.61 cnf(fact_replicate__empty-2, axiom, ( ( _u19988 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19986, _u19988, _u19990) = c_List_Olist_ONil(_u19986)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_map__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_map__replicate-1, axiom, ( ( hAPP(hAPP(c_List_Omap(_u19991, _u19992), _u19993), c_List_Oreplicate(_u19991, _u19994, _u19995)) = c_List_Oreplicate(_u19992, _u19994, hAPP(_u19993, _u19995))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_in__set__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_in__set__replicate-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20000), _u20002), hAPP(c_List_Oset(_u20000), c_List_Oreplicate(_u20000, _u20004, _u20006)))) | ( _u20002 = _u20006) )).
% 43.37/43.61 cnf(fact_in__set__replicate-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20000), _u20002), hAPP(c_List_Oset(_u20000), c_List_Oreplicate(_u20000, _u20004, _u20006)))) | ( _u20004 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.61 cnf(fact_in__set__replicate-3, axiom, ( ( _u20003 != _u20007) | ( _u20005 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20001), _u20003), hAPP(c_List_Oset(_u20001), c_List_Oreplicate(_u20001, _u20005, _u20007)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_replicate__append__same ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_replicate__append__same-1, axiom, ( ( hAPP(hAPP(c_List_Oappend(_u20008), c_List_Oreplicate(_u20008, _u20009, _u20010)), hAPP(hAPP(c_List_Olist_OCons(_u20008), _u20010), c_List_Olist_ONil(_u20008))) = hAPP(hAPP(c_List_Olist_OCons(_u20008), _u20010), c_List_Oreplicate(_u20008, _u20009, _u20010))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_map__replicate__trivial ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_map__replicate__trivial-1, axiom, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20011), hAPP(c_COMBK(_u20011, tc_Nat_Onat), _u20012)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20013)) = c_List_Oreplicate(_u20011, _u20013, _u20012)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_set__replicate ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_set__replicate-1, axiom, ( ( _u20014 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20015), c_List_Oreplicate(_u20015, _u20014, _u20016)) = hAPP(hAPP(c_Set_Oinsert(_u20015), _u20016), c_Orderings_Obot__class_Obot(tc_fun(_u20015, tc_HOL_Obool)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_set__replicate__conv__if ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_set__replicate__conv__if-1, axiom, ( ( _u20020 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20022), c_List_Oreplicate(_u20022, _u20020, _u20024)) = c_Orderings_Obot__class_Obot(tc_fun(_u20022, tc_HOL_Obool))) )).
% 43.37/43.61 cnf(fact_set__replicate__conv__if-2, axiom, ( ( _u20021 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20023), c_List_Oreplicate(_u20023, _u20021, _u20025)) = hAPP(hAPP(c_Set_Oinsert(_u20023), _u20025), c_Orderings_Obot__class_Obot(tc_fun(_u20023, tc_HOL_Obool)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_set__replicate__Suc ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_set__replicate__Suc-1, axiom, ( ( hAPP(c_List_Oset(_u20026), c_List_Oreplicate(_u20026, hAPP(c_Nat_OSuc, _u20027), _u20028)) = hAPP(hAPP(c_Set_Oinsert(_u20026), _u20028), c_Orderings_Obot__class_Obot(tc_fun(_u20026, tc_HOL_Obool)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_New__DSequence_Opos__union__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_New__DSequence_Opos__union__def-1, axiom, ( ( hAPP(c_New__DSequence_Opos__union(_u20029, _u20030, _u20031), _u20032) = c_Lazy__Sequence_Oappend(_u20029, hAPP(_u20030, _u20032), hAPP(_u20031, _u20032))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_eq__comp__r ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_eq__comp__r-1, axiom, ( ( c_Predicate_Opred__comp(_u20033, _u20033, _u20033, c_fequal, c_Predicate_Opred__comp(_u20033, _u20033, _u20033, _u20034, c_fequal)) = _u20034) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pos__union__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pos__union__def-1, axiom, ( ( c_New__Random__Sequence_Opos__union(_u20035, _u20036, _u20037, _u20038, _u20039, _u20040) = c_New__DSequence_Opos__union(_u20035, hAPP(hAPP(hAPP(_u20036, _u20038), _u20039), _u20040), hAPP(hAPP(hAPP(_u20037, _u20038), _u20039), _u20040))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_small__lazy_H_Osimps ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_small__lazy_H_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20043), _u20045)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20043, _u20045) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 43.37/43.61 cnf(fact_small__lazy_H_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20044), _u20046)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20044, _u20046) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20046), c_Lazy__Sequence_Osmall__lazy_H(_u20044, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20046), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_small__lazy__int__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_small__lazy__int__def-1, axiom, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u20047) = c_Lazy__Sequence_Osmall__lazy_H(_u20047, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u20047))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_small__lazy_H_Opsimps ( axiom ) converted to clauses:
% 43.37/43.61 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), _u20048), _u20049))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20048), _u20049)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20048, _u20049) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 43.37/43.61 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), _u20048), _u20049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20048), _u20049)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20048, _u20049) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20049), c_Lazy__Sequence_Osmall__lazy_H(_u20048, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20049), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_field__le__epsilon ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_field__le__epsilon-1, axiom, ( ~class_Fields_Olinordered__field(_u20051) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20051), _u20052), _u20053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20051), c_Groups_Ozero__class_Ozero(_u20051)), skolem525(_u20053, _u20052, _u20051))) )).
% 43.37/43.61 cnf(fact_field__le__epsilon-2, axiom, ( ~class_Fields_Olinordered__field(_u20051) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20051), _u20052), _u20053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20051), _u20052), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20051), _u20053), skolem525(_u20053, _u20052, _u20051)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_small__lazy_H_Opinduct ( axiom ) converted to clauses:
% 43.37/43.61 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), _u20056), _u20057))) | hBOOL(hAPP(hAPP(_u20058, _u20056), _u20057)) | 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), skolem526(_u20058, _u20057, _u20056)), skolem527(_u20058, _u20057, _u20056)))) )).
% 43.37/43.61 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), _u20056), _u20057))) | hBOOL(hAPP(hAPP(_u20058, _u20056), _u20057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem526(_u20058, _u20057, _u20056)), skolem527(_u20058, _u20057, _u20056))) | hBOOL(hAPP(hAPP(_u20058, skolem526(_u20058, _u20057, _u20056)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem527(_u20058, _u20057, _u20056)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.37/43.61 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), _u20056), _u20057))) | hBOOL(hAPP(hAPP(_u20058, _u20056), _u20057)) | ~hBOOL(hAPP(hAPP(_u20058, skolem526(_u20058, _u20057, _u20056)), skolem527(_u20058, _u20057, _u20056))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Osize_I4_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Osize_I4_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20059)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20059, _u20060, _u20061)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20059)), _u20061)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Oinject ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Oinject-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20069, _u20071) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20073, _u20075)) | ( _u20069 = _u20073) )).
% 43.37/43.61 cnf(fact_lazy__sequence_Oinject-2, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20069, _u20071) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20073, _u20075)) | ( _u20071 = _u20075) )).
% 43.37/43.61 cnf(fact_lazy__sequence_Oinject-3, axiom, ( ( _u20070 != _u20074) | ( _u20072 != _u20076) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20068, _u20070, _u20072) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20068, _u20074, _u20076)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact__01 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact__01-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u20077, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20077, _u20078, _u20079), _u20080) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20077, _u20078, c_Lazy__Sequence_Oappend(_u20077, _u20079, _u20080))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Osize_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Osize_I2_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20081, _u20082), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20081, _u20083, _u20084)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20082, _u20083)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20081, _u20082), _u20084))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_size__code ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_size__code-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20085)), _u20086) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20085, tc_Lazy__Sequence_Olazy__sequence(_u20085)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20085, tc_Lazy__Sequence_Olazy__sequence(_u20085), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20085), tc_Nat_Onat), _u20085), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20085), 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(_u20085)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20085)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u20085), _u20086))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence__size__code ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence__size__code-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20087, _u20088), _u20089) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20087, tc_Lazy__Sequence_Olazy__sequence(_u20087)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20087, tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u20087, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat)), _u20087), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u20087), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u20087)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u20087, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat)), _u20087), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u20087))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u20087), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u20088))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20087, _u20088))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u20087), _u20089))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_seq__case ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_seq__case-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20090, _u20091, _u20092, _u20093, _u20094) = c_Option_Ooption_Ooption__case(_u20090, tc_prod(_u20091, tc_Lazy__Sequence_Olazy__sequence(_u20091)), _u20092, hAPP(c_Product__Type_Oprod_Oprod__case(_u20091, tc_Lazy__Sequence_Olazy__sequence(_u20091), _u20090), _u20093), hAPP(c_Lazy__Sequence_Oyield(_u20091), _u20094))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_yieldn__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_yieldn__def-1, axiom, ( ( c_Lazy__Sequence_Oyieldn(_u20095) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u20095), _u20095, c_Lazy__Sequence_Oyield(_u20095))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Osimps_I5_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Osimps_I5_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20096, _u20097, _u20098, _u20099, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20097, _u20100, _u20101)) = hAPP(hAPP(_u20099, _u20100), _u20101)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_refl__on__INTER ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_refl__on__INTER-1, axiom, ( c_Relation_Orefl__on(_u20105, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20103, tc_fun(_u20105, tc_HOL_Obool)), _u20104), _u20106), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20103, tc_fun(tc_prod(_u20105, _u20105), tc_HOL_Obool)), _u20104), _u20107)) | hBOOL(hAPP(hAPP(c_member(_u20103), skolem528(_u20107, _u20106, _u20105, _u20104, _u20103)), _u20104)) )).
% 43.37/43.61 cnf(fact_refl__on__INTER-2, axiom, ( c_Relation_Orefl__on(_u20105, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20103, tc_fun(_u20105, tc_HOL_Obool)), _u20104), _u20106), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20103, tc_fun(tc_prod(_u20105, _u20105), tc_HOL_Obool)), _u20104), _u20107)) | ~c_Relation_Orefl__on(_u20105, hAPP(_u20106, skolem528(_u20107, _u20106, _u20105, _u20104, _u20103)), hAPP(_u20107, skolem528(_u20107, _u20106, _u20105, _u20104, _u20103))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_in__set__member ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_in__set__member-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20111), _u20113), hAPP(c_List_Oset(_u20111), _u20115))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20111), _u20115), _u20113)) )).
% 43.37/43.61 cnf(fact_in__set__member-2, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20112), _u20116), _u20114)) | hBOOL(hAPP(hAPP(c_member(_u20112), _u20114), hAPP(c_List_Oset(_u20112), _u20116))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_member__rec_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_member__rec_I2_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20117), c_List_Olist_ONil(_u20117)), _u20118)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_member__set ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_member__set-1, axiom, ( ( c_List_Omember(_u20119) = c_List_Oset(_u20119)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_member__rec_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_member__rec_I1_J-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20124), hAPP(hAPP(c_List_Olist_OCons(_u20124), _u20126), _u20128)), _u20130)) | ( _u20126 = _u20130) | hBOOL(hAPP(hAPP(c_List_Omember(_u20124), _u20128), _u20130)) )).
% 43.37/43.61 cnf(fact_member__rec_I1_J-2, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20125), hAPP(hAPP(c_List_Olist_OCons(_u20125), _u20127), _u20129)), _u20131)) | ( _u20127 != _u20131) )).
% 43.37/43.61 cnf(fact_member__rec_I1_J-3, axiom, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20125), hAPP(hAPP(c_List_Olist_OCons(_u20125), _u20127), _u20129)), _u20131)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u20125), _u20129), _u20131)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_List_Omember__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_List_Omember__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20135), _u20137), _u20139)) | hBOOL(hAPP(hAPP(c_member(_u20135), _u20139), hAPP(c_List_Oset(_u20135), _u20137))) )).
% 43.37/43.61 cnf(fact_List_Omember__def-2, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20136), _u20140), hAPP(c_List_Oset(_u20136), _u20138))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20136), _u20138), _u20140)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pair__box_Osize_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pair__box_Osize_I1_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__size(_u20141, _u20142, _u20143, _u20144, c_Nitpick_Opair__box_OPairBox(_u20141, _u20142, _u20145, _u20146)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20143, _u20145)), hAPP(_u20144, _u20146))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex1__iff__raw ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex1__iff__raw-1, axiom, ( ~c_List_Olist__ex1(_u20154, _u20156, _u20158) | hBOOL(hAPP(hAPP(c_member(_u20154), skolem529(_u20158, _u20156, _u20154)), hAPP(c_List_Oset(_u20154), _u20158))) )).
% 43.37/43.61 cnf(fact_list__ex1__iff__raw-2, axiom, ( ~c_List_Olist__ex1(_u20154, _u20156, _u20158) | hBOOL(hAPP(_u20156, skolem529(_u20158, _u20156, _u20154))) )).
% 43.37/43.61 cnf(fact_list__ex1__iff__raw-3, axiom, ( ~c_List_Olist__ex1(_u20154, _u20156, _u20158) | ~hBOOL(hAPP(hAPP(c_member(_u20154), _u20147), hAPP(c_List_Oset(_u20154), _u20158))) | ~hBOOL(hAPP(_u20156, _u20147)) | ( _u20147 = skolem529(_u20158, _u20156, _u20154)) )).
% 43.37/43.61 cnf(fact_list__ex1__iff__raw-4, axiom, ( c_List_Olist__ex1(_u20155, _u20157, _u20159) | ~hBOOL(hAPP(hAPP(c_member(_u20155), _u20150), hAPP(c_List_Oset(_u20155), _u20159))) | ~hBOOL(hAPP(_u20157, _u20150)) | hBOOL(hAPP(hAPP(c_member(_u20155), skolem530(_u20159, _u20157, _u20155, _u20150)), hAPP(c_List_Oset(_u20155), _u20159))) )).
% 43.37/43.61 cnf(fact_list__ex1__iff__raw-5, axiom, ( c_List_Olist__ex1(_u20155, _u20157, _u20159) | ~hBOOL(hAPP(hAPP(c_member(_u20155), _u20150), hAPP(c_List_Oset(_u20155), _u20159))) | ~hBOOL(hAPP(_u20157, _u20150)) | hBOOL(hAPP(_u20157, skolem530(_u20159, _u20157, _u20155, _u20150))) )).
% 43.37/43.61 cnf(fact_list__ex1__iff__raw-6, axiom, ( c_List_Olist__ex1(_u20155, _u20157, _u20159) | ~hBOOL(hAPP(hAPP(c_member(_u20155), _u20150), hAPP(c_List_Oset(_u20155), _u20159))) | ~hBOOL(hAPP(_u20157, _u20150)) | ( skolem530(_u20159, _u20157, _u20155, _u20150) != _u20150) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pair__box_Oinject ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pair__box_Oinject-1, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u20166, _u20168, _u20170, _u20172) != c_Nitpick_Opair__box_OPairBox(_u20166, _u20168, _u20174, _u20176)) | ( _u20170 = _u20174) )).
% 43.37/43.61 cnf(fact_pair__box_Oinject-2, axiom, ( ( c_Nitpick_Opair__box_OPairBox(_u20166, _u20168, _u20170, _u20172) != c_Nitpick_Opair__box_OPairBox(_u20166, _u20168, _u20174, _u20176)) | ( _u20172 = _u20176) )).
% 43.37/43.61 cnf(fact_pair__box_Oinject-3, axiom, ( ( _u20171 != _u20175) | ( _u20173 != _u20177) | ( c_Nitpick_Opair__box_OPairBox(_u20167, _u20169, _u20171, _u20173) = c_Nitpick_Opair__box_OPairBox(_u20167, _u20169, _u20175, _u20177)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pair__box_Osize_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pair__box_Osize_I2_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u20178, _u20179)), c_Nitpick_Opair__box_OPairBox(_u20178, _u20179, _u20180, _u20181)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pair__box_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pair__box_Osimps_I2_J-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__case(_u20182, _u20183, _u20184, _u20185, c_Nitpick_Opair__box_OPairBox(_u20182, _u20183, _u20186, _u20187)) = hAPP(hAPP(_u20185, _u20186), _u20187)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_pair__box_Orecs ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_pair__box_Orecs-1, axiom, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u20188, _u20189, _u20190, _u20191, c_Nitpick_Opair__box_OPairBox(_u20188, _u20189, _u20192, _u20193)) = hAPP(hAPP(_u20191, _u20192), _u20193)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_THE__default__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_THE__default__def-1, axiom, ( ( c_FunDef_OTHE__default(_u20203, _u20205, _u20201) = c_HOL_OThe(_u20203, _u20201)) | ~hBOOL(hAPP(_u20201, _u20195)) | hBOOL(hAPP(_u20201, skolem531(_u20205, _u20203, _u20201, _u20195))) )).
% 43.37/43.61 cnf(fact_THE__default__def-2, axiom, ( ( c_FunDef_OTHE__default(_u20203, _u20205, _u20201) = c_HOL_OThe(_u20203, _u20201)) | ~hBOOL(hAPP(_u20201, _u20195)) | ( skolem531(_u20205, _u20203, _u20201, _u20195) != _u20195) )).
% 43.37/43.61 cnf(fact_THE__default__def-3, axiom, ( ( c_FunDef_OTHE__default(_u20204, _u20206, _u20202) = _u20206) | hBOOL(hAPP(_u20202, skolem532(_u20206, _u20204, _u20202))) )).
% 43.37/43.61 cnf(fact_THE__default__def-4, axiom, ( ( c_FunDef_OTHE__default(_u20204, _u20206, _u20202) = _u20206) | ~hBOOL(hAPP(_u20202, _u20196)) | ( _u20196 = skolem532(_u20206, _u20204, _u20202)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_setsum__UNION__zero ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_setsum__UNION__zero-1, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem534(_u20214, _u20213, _u20212, _u20211)), _u20213)) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-2, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem535(_u20214, _u20213, _u20212, _u20211)), _u20213)) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-3, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | ( skolem534(_u20214, _u20213, _u20212, _u20211) != skolem535(_u20214, _u20213, _u20212, _u20211)) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-4, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(_u20212), skolem536(_u20214, _u20213, _u20212, _u20211)), skolem534(_u20214, _u20213, _u20212, _u20211))) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-5, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(_u20212), skolem536(_u20214, _u20213, _u20212, _u20211)), skolem535(_u20214, _u20213, _u20212, _u20211))) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-6, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | ( hAPP(_u20214, skolem536(_u20214, _u20213, _u20212, _u20211)) != c_Groups_Ozero__class_Ozero(_u20211)) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-7, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem534(_u20214, _u20213, _u20212, _u20211)), _u20213)) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-8, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem535(_u20214, _u20213, _u20212, _u20211)), _u20213)) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-9, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | ( skolem534(_u20214, _u20213, _u20212, _u20211) != skolem535(_u20214, _u20213, _u20212, _u20211)) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-10, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(_u20212), skolem536(_u20214, _u20213, _u20212, _u20211)), skolem534(_u20214, _u20213, _u20212, _u20211))) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-11, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(_u20212), skolem536(_u20214, _u20213, _u20212, _u20211)), skolem535(_u20214, _u20213, _u20212, _u20211))) )).
% 43.37/43.61 cnf(fact_setsum__UNION__zero-12, axiom, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | ( hAPP(_u20214, skolem536(_u20214, _u20213, _u20212, _u20211)) != c_Groups_Ozero__class_Ozero(_u20211)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_INF2__I ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_INF2__I-1, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20216, tc_fun(_u20221, tc_fun(_u20222, tc_HOL_Obool))), _u20217), _u20218), _u20219), _u20220)) | hBOOL(hAPP(hAPP(c_member(_u20216), skolem537(_u20222, _u20221, _u20220, _u20219, _u20218, _u20217, _u20216)), _u20217)) )).
% 43.37/43.61 cnf(fact_INF2__I-2, axiom, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20216, tc_fun(_u20221, tc_fun(_u20222, tc_HOL_Obool))), _u20217), _u20218), _u20219), _u20220)) | ~hBOOL(hAPP(hAPP(hAPP(_u20218, skolem537(_u20222, _u20221, _u20220, _u20219, _u20218, _u20217, _u20216)), _u20219), _u20220)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_SUP2__E ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_SUP2__E-1, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20224, tc_fun(_u20225, tc_fun(_u20226, tc_HOL_Obool))), _u20227), _u20228), _u20229), _u20230)) | hBOOL(hAPP(hAPP(c_member(_u20224), skolem538(_u20230, _u20229, _u20228, _u20227, _u20226, _u20225, _u20224)), _u20227)) )).
% 43.37/43.61 cnf(fact_SUP2__E-2, axiom, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20224, tc_fun(_u20225, tc_fun(_u20226, tc_HOL_Obool))), _u20227), _u20228), _u20229), _u20230)) | hBOOL(hAPP(hAPP(hAPP(_u20228, skolem538(_u20230, _u20229, _u20228, _u20227, _u20226, _u20225, _u20224)), _u20229), _u20230)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_finite__maxlen ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_finite__maxlen-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u20233)), _u20234)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20233)), _u20231), _u20234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20233)), _u20231)), skolem539(_u20234, _u20233))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Osize_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Osize_I1_J-1, axiom, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20235, _u20236), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20235)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Osimps_I4_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Osimps_I4_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20237, _u20238, _u20239, _u20240, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20238)) = _u20239) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact__02 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact__02-1, axiom, ( ( c_Lazy__Sequence_Oappend(_u20241, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20241), _u20242) = _u20242) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Osimps_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Osimps_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20243) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20243, _u20244, _u20245)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Osimps_I3_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Osimps_I3_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20246, _u20247, _u20248) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20246)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Osize_I3_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Osize_I3_J-1, axiom, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20249)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20249)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__all__iff__all__interval__int ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__all__iff__all__interval__int-1, axiom, ( ~c_List_Olist__all(tc_Int_Oint, _u20253, c_List_Oupto(_u20255, _u20257)) | c_List_Oall__interval__int(_u20253, _u20255, _u20257) )).
% 43.37/43.61 cnf(fact_list__all__iff__all__interval__int-2, axiom, ( ~c_List_Oall__interval__int(_u20254, _u20256, _u20258) | c_List_Olist__all(tc_Int_Oint, _u20254, c_List_Oupto(_u20256, _u20258)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex__iff__not__all__inverval__int ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex__iff__not__all__inverval__int-1, axiom, ( ~c_List_Olist__ex(tc_Int_Oint, _u20262, c_List_Oupto(_u20264, _u20266)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20262), _u20264, _u20266) )).
% 43.37/43.61 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), _u20263), _u20265, _u20267) | c_List_Olist__ex(tc_Int_Oint, _u20263, c_List_Oupto(_u20265, _u20267)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_all__interval__int__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_all__interval__int__def-1, axiom, ( ~c_List_Oall__interval__int(_u20273, _u20275, _u20277) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u20268), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20275, _u20277))) | hBOOL(hAPP(_u20273, _u20268)) )).
% 43.37/43.61 cnf(fact_all__interval__int__def-2, axiom, ( c_List_Oall__interval__int(_u20274, _u20276, _u20278) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem540(_u20278, _u20276, _u20274)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20276, _u20278))) )).
% 43.37/43.61 cnf(fact_all__interval__int__def-3, axiom, ( c_List_Oall__interval__int(_u20274, _u20276, _u20278) | ~hBOOL(hAPP(_u20274, skolem540(_u20278, _u20276, _u20274))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_code__numeral_Orecs_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_code__numeral_Orecs_I2_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20279, _u20280, _u20281, c_Code__Numeral_OSuc__code__numeral(_u20282)) = hAPP(hAPP(_u20281, _u20282), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20279, _u20280, _u20281, _u20282))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Random_Osimps ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Random_Osimps-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20287), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20289, _u20291, _u20287, _u20293) = 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(_u20289)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20289))) )).
% 43.37/43.61 cnf(fact_Random_Osimps-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20288), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20290, _u20292, _u20288, _u20294) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u20290, 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(_u20290)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u20292, _u20294)), 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(_u20290)))), 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(_u20290)))), 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(_u20290)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u20290, 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(_u20290)))), 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(_u20290)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u20290, _u20292, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20288), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u20294))), 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(_u20290)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290)))), 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(_u20290)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u20290, 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(_u20290)))), 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(_u20290)))), 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(_u20290))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290)))), 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(_u20290)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290))))), tc_prod(_u20290, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u20290)), hAPP(hAPP(c_COMBB(_u20290, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290)))), tc_prod(_u20290, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u20290)), c_Product__Type_Ofst(_u20290, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_code__numeral_Orecs_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_code__numeral_Orecs_I1_J-1, axiom, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20295, _u20296, _u20297, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u20296) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Random__Sequence_Oempty__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Random__Sequence_Oempty__def-1, axiom, ( ( c_Random__Sequence_Oempty(_u20298, _u20299, _u20300) = 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(_u20298)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20298))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Random__Sequence_Osingle__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Random__Sequence_Osingle__def-1, axiom, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u20301), _u20302), _u20303), _u20304) = 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(_u20301)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u20301), _u20302))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Random__Sequence_Omap__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Random__Sequence_Omap__def-1, axiom, ( ( c_Random__Sequence_Omap(_u20305, _u20306, _u20307, _u20308) = c_Random__Sequence_Obind(_u20305, _u20306, _u20308, hAPP(c_Fun_Ocomp(_u20306, 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(_u20306)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u20305, c_Random__Sequence_Osingle(_u20306)), _u20307))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_exE__realizer ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_exE__realizer-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20311, hAPP(c_Product__Type_Osnd(_u20312, _u20313), _u20314)), hAPP(c_Product__Type_Ofst(_u20312, _u20313), _u20314))) | hBOOL(hAPP(_u20315, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20312, _u20313, _u20317), _u20316), _u20314))) | hBOOL(hAPP(hAPP(_u20311, skolem542(_u20317, _u20316, _u20315, _u20314, _u20313, _u20312, _u20311)), skolem541(_u20317, _u20316, _u20315, _u20314, _u20313, _u20312, _u20311))) )).
% 43.37/43.61 cnf(fact_exE__realizer-2, axiom, ( ~hBOOL(hAPP(hAPP(_u20311, hAPP(c_Product__Type_Osnd(_u20312, _u20313), _u20314)), hAPP(c_Product__Type_Ofst(_u20312, _u20313), _u20314))) | hBOOL(hAPP(_u20315, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20312, _u20313, _u20317), _u20316), _u20314))) | ~hBOOL(hAPP(_u20315, hAPP(hAPP(_u20316, skolem541(_u20317, _u20316, _u20315, _u20314, _u20313, _u20312, _u20311)), skolem542(_u20317, _u20316, _u20315, _u20314, _u20313, _u20312, _u20311)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Image__Collect__split ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Image__Collect__split-1, axiom, ( ( hAPP(c_Relation_OImage(_u20318, _u20319, hAPP(c_Set_OCollect(tc_prod(_u20318, _u20319)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20318, _u20319, tc_HOL_Obool), _u20320))), _u20321) = hAPP(c_Set_OCollect(_u20319), hAPP(hAPP(c_COMBB(tc_fun(_u20318, tc_HOL_Obool), tc_HOL_Obool, _u20319), c_HOL_OEx(_u20318)), hAPP(hAPP(c_COMBB(tc_fun(_u20318, tc_HOL_Obool), tc_fun(_u20318, tc_HOL_Obool), _u20319), hAPP(c_COMBS(_u20318, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20318), c_fconj), hAPP(hAPP(c_COMBC(_u20318, tc_fun(_u20318, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20318)), _u20321)))), hAPP(c_COMBC(_u20318, _u20319, tc_HOL_Obool), _u20320))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lexord__trans ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lexord__trans-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20322), tc_List_Olist(_u20322))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20322), tc_List_Olist(_u20322)), _u20323), _u20324)), c_List_Olexord(_u20322, _u20325))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20322), tc_List_Olist(_u20322))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20322), tc_List_Olist(_u20322)), _u20324), _u20326)), c_List_Olexord(_u20322, _u20325))) | ~c_Relation_Otrans(_u20322, _u20325) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20322), tc_List_Olist(_u20322))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20322), tc_List_Olist(_u20322)), _u20323), _u20326)), c_List_Olexord(_u20322, _u20325))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__less__than ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__less__than-1, axiom, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__lex__prod ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__lex__prod-1, axiom, ( ~c_Relation_Otrans(_u20327, _u20328) | ~c_Relation_Otrans(_u20329, _u20330) | c_Relation_Otrans(tc_prod(_u20327, _u20329), c_Wellfounded_Olex__prod(_u20327, _u20329, _u20328, _u20330)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_transD ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_transD-1, axiom, ( ~c_Relation_Otrans(_u20331, _u20332) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20331, _u20331)), hAPP(hAPP(c_Product__Type_OPair(_u20331, _u20331), _u20333), _u20334)), _u20332)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20331, _u20331)), hAPP(hAPP(c_Product__Type_OPair(_u20331, _u20331), _u20334), _u20335)), _u20332)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20331, _u20331)), hAPP(hAPP(c_Product__Type_OPair(_u20331, _u20331), _u20333), _u20335)), _u20332)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__def-1, axiom, ( ~c_Relation_Otrans(_u20344, _u20346) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), _u20338), _u20337)), _u20346)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), _u20337), _u20336)), _u20346)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), _u20338), _u20336)), _u20346)) )).
% 43.37/43.61 cnf(fact_trans__def-2, axiom, ( c_Relation_Otrans(_u20345, _u20347) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20345, _u20345)), hAPP(hAPP(c_Product__Type_OPair(_u20345, _u20345), skolem543(_u20347, _u20345)), skolem544(_u20347, _u20345))), _u20347)) )).
% 43.37/43.61 cnf(fact_trans__def-3, axiom, ( c_Relation_Otrans(_u20345, _u20347) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20345, _u20345)), hAPP(hAPP(c_Product__Type_OPair(_u20345, _u20345), skolem544(_u20347, _u20345)), skolem545(_u20347, _u20345))), _u20347)) )).
% 43.37/43.61 cnf(fact_trans__def-4, axiom, ( c_Relation_Otrans(_u20345, _u20347) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20345, _u20345)), hAPP(hAPP(c_Product__Type_OPair(_u20345, _u20345), skolem543(_u20347, _u20345)), skolem545(_u20347, _u20345))), _u20347)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__inv__image ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__inv__image-1, axiom, ( ~c_Relation_Otrans(_u20348, _u20349) | c_Relation_Otrans(_u20350, hAPP(hAPP(c_Relation_Oinv__image(_u20348, _u20350), _u20349), _u20351)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__reflclI ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__reflclI-1, axiom, ( ~c_Relation_Otrans(_u20352, _u20353) | c_Relation_Otrans(_u20352, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20352, _u20352), tc_HOL_Obool)), _u20353), c_Relation_OId(_u20352))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_SUPR__bool__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_SUPR__bool__eq-1, axiom, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20354, tc_HOL_Obool) = c_Set_OBex(_u20354)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bex__UNIV ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bex__UNIV-1, axiom, ( hBOOL(hAPP(_u20363, skolem546(_u20363))) | ~hBOOL(hAPP(hAPP(c_member(_u20361), _u20355), c_Orderings_Otop__class_Otop(tc_fun(_u20361, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20363, _u20355)) )).
% 43.37/43.61 cnf(fact_bex__UNIV-2, axiom, ( ~hBOOL(hAPP(_u20364, _u20357)) | hBOOL(hAPP(hAPP(c_member(_u20362), skolem547(_u20364, _u20362)), c_Orderings_Otop__class_Otop(tc_fun(_u20362, tc_HOL_Obool)))) )).
% 43.37/43.61 cnf(fact_bex__UNIV-3, axiom, ( ~hBOOL(hAPP(_u20364, _u20357)) | hBOOL(hAPP(_u20364, skolem547(_u20364, _u20362))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__rtrancl ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__rtrancl-1, axiom, ( c_Relation_Otrans(_u20365, c_Transitive__Closure_Ortrancl(_u20365, _u20366)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lexord__transI ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lexord__transI-1, axiom, ( ~c_Relation_Otrans(_u20367, _u20368) | c_Relation_Otrans(tc_List_Olist(_u20367), c_List_Olexord(_u20367, _u20368)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__Id__on ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__Id__on-1, axiom, ( c_Relation_Otrans(_u20369, c_Relation_OId__on(_u20369, _u20370)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trancl__id ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trancl__id-1, axiom, ( ~c_Relation_Otrans(_u20371, _u20372) | ( c_Transitive__Closure_Otrancl(_u20371, _u20372) = _u20372) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__trancl ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__trancl-1, axiom, ( c_Relation_Otrans(_u20373, c_Transitive__Closure_Otrancl(_u20373, _u20374)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__Id ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__Id-1, axiom, ( c_Relation_Otrans(_u20375, c_Relation_OId(_u20375)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__finite__psubset ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__finite__psubset-1, axiom, ( c_Relation_Otrans(tc_fun(_u20376, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u20376)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bex__empty ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bex__empty-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20378), _u20377), c_Orderings_Obot__class_Obot(tc_fun(_u20378, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20379, _u20377)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_listrel__trans ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_listrel__trans-1, axiom, ( ~c_Relation_Otrans(_u20380, _u20381) | c_Relation_Otrans(tc_List_Olist(_u20380), c_List_Olistrel(_u20380, _u20381)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__converse ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__converse-1, axiom, ( ~c_Relation_Otrans(_u20384, hAPP(c_Relation_Oconverse(_u20384, _u20384), _u20386)) | c_Relation_Otrans(_u20384, _u20386) )).
% 43.37/43.61 cnf(fact_trans__converse-2, axiom, ( ~c_Relation_Otrans(_u20385, _u20387) | c_Relation_Otrans(_u20385, hAPP(c_Relation_Oconverse(_u20385, _u20385), _u20387)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_finite__Collect__bex ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_finite__Collect__bex-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20390), _u20391)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool, _u20392), c_HOL_OEx(_u20390)), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_fun(_u20390, tc_HOL_Obool), _u20392), hAPP(c_COMBS(_u20390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20390), c_fconj), hAPP(hAPP(c_COMBC(_u20390, tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20390)), _u20391)))), _u20393))))) | ~hBOOL(hAPP(hAPP(c_member(_u20390), _u20388), _u20391)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBC(_u20392, _u20390, tc_HOL_Obool), _u20393), _u20388)))) )).
% 43.37/43.61 cnf(fact_finite__Collect__bex-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20390), _u20391)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool, _u20392), c_HOL_OEx(_u20390)), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_fun(_u20390, tc_HOL_Obool), _u20392), hAPP(c_COMBS(_u20390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20390), c_fconj), hAPP(hAPP(c_COMBC(_u20390, tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20390)), _u20391)))), _u20393))))) | hBOOL(hAPP(hAPP(c_member(_u20390), skolem548(_u20393, _u20392, _u20391, _u20390)), _u20391)) )).
% 43.37/43.61 cnf(fact_finite__Collect__bex-3, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20390), _u20391)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool, _u20392), c_HOL_OEx(_u20390)), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_fun(_u20390, tc_HOL_Obool), _u20392), hAPP(c_COMBS(_u20390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20390), c_fconj), hAPP(hAPP(c_COMBC(_u20390, tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20390)), _u20391)))), _u20393))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBC(_u20392, _u20390, tc_HOL_Obool), _u20393), skolem548(_u20393, _u20392, _u20391, _u20390))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__Int ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__Int-1, axiom, ( ~c_Relation_Otrans(_u20394, _u20395) | ~c_Relation_Otrans(_u20394, _u20396) | c_Relation_Otrans(_u20394, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20394, _u20394), tc_HOL_Obool)), _u20395), _u20396)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__O__subset ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__O__subset-1, axiom, ( ~c_Relation_Otrans(_u20397, _u20398) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20397, _u20397), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20397, _u20397, _u20397), _u20398), _u20398)), _u20398)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Union__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Union__eq-1, axiom, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20399, tc_HOL_Obool), _u20400) = hAPP(c_Set_OCollect(_u20399), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20399, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u20399), c_HOL_OEx(tc_fun(_u20399, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20399, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20399, tc_HOL_Obool), tc_HOL_Obool), _u20399), hAPP(c_COMBS(tc_fun(_u20399, 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(_u20399, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20399, tc_HOL_Obool), tc_fun(tc_fun(_u20399, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20399, tc_HOL_Obool))), _u20400)))), c_member(_u20399))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_UN__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_UN__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20401, tc_fun(_u20402, tc_HOL_Obool)), _u20403), _u20404) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20402, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20402, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20401, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20402, tc_HOL_Obool)), c_HOL_OEx(_u20401)), hAPP(hAPP(c_COMBB(tc_fun(_u20401, tc_HOL_Obool), tc_fun(_u20401, tc_HOL_Obool), tc_fun(_u20402, tc_HOL_Obool)), hAPP(c_COMBS(_u20401, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20401), c_fconj), hAPP(hAPP(c_COMBC(_u20401, tc_fun(_u20401, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20401)), _u20403)))), hAPP(hAPP(c_COMBC(tc_fun(_u20402, tc_HOL_Obool), tc_fun(_u20401, tc_fun(_u20402, tc_HOL_Obool)), tc_fun(_u20401, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20402, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20401, tc_fun(_u20402, tc_HOL_Obool)), tc_fun(_u20401, tc_HOL_Obool)), tc_fun(_u20402, tc_HOL_Obool)), c_COMBB(tc_fun(_u20402, tc_HOL_Obool), tc_HOL_Obool, _u20401)), c_fequal)), _u20404)))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Bex__set__list__ex ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Bex__set__list__ex-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20410), _u20405), hAPP(c_List_Oset(_u20410), _u20412))) | ~hBOOL(hAPP(_u20414, _u20405)) | c_List_Olist__ex(_u20410, _u20414, _u20412) )).
% 43.37/43.61 cnf(fact_Bex__set__list__ex-2, axiom, ( ~c_List_Olist__ex(_u20411, _u20415, _u20413) | hBOOL(hAPP(hAPP(c_member(_u20411), skolem549(_u20415, _u20413, _u20411)), hAPP(c_List_Oset(_u20411), _u20413))) )).
% 43.37/43.61 cnf(fact_Bex__set__list__ex-3, axiom, ( ~c_List_Olist__ex(_u20411, _u20415, _u20413) | hBOOL(hAPP(_u20415, skolem549(_u20415, _u20413, _u20411))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_list__ex__iff__raw ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_list__ex__iff__raw-1, axiom, ( ~c_List_Olist__ex(_u20421, _u20423, _u20425) | hBOOL(hAPP(hAPP(c_member(_u20421), skolem550(_u20425, _u20423, _u20421)), hAPP(c_List_Oset(_u20421), _u20425))) )).
% 43.37/43.61 cnf(fact_list__ex__iff__raw-2, axiom, ( ~c_List_Olist__ex(_u20421, _u20423, _u20425) | hBOOL(hAPP(_u20423, skolem550(_u20425, _u20423, _u20421))) )).
% 43.37/43.61 cnf(fact_list__ex__iff__raw-3, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20422), _u20417), hAPP(c_List_Oset(_u20422), _u20426))) | ~hBOOL(hAPP(_u20424, _u20417)) | c_List_Olist__ex(_u20422, _u20424, _u20426) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_INT__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_INT__eq-1, axiom, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20427, tc_fun(_u20428, tc_HOL_Obool)), _u20429), _u20430) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20428, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20428, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20427, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20428, tc_HOL_Obool)), c_HOL_OEx(_u20427)), hAPP(hAPP(c_COMBB(tc_fun(_u20427, tc_HOL_Obool), tc_fun(_u20427, tc_HOL_Obool), tc_fun(_u20428, tc_HOL_Obool)), hAPP(c_COMBS(_u20427, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20427), c_fconj), hAPP(hAPP(c_COMBC(_u20427, tc_fun(_u20427, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20427)), _u20429)))), hAPP(hAPP(c_COMBC(tc_fun(_u20428, tc_HOL_Obool), tc_fun(_u20427, tc_fun(_u20428, tc_HOL_Obool)), tc_fun(_u20427, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20428, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20427, tc_fun(_u20428, tc_HOL_Obool)), tc_fun(_u20427, tc_HOL_Obool)), tc_fun(_u20428, tc_HOL_Obool)), c_COMBB(tc_fun(_u20428, tc_HOL_Obool), tc_HOL_Obool, _u20427)), c_fequal)), _u20430)))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Sup__apply ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Sup__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20431) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20432, _u20431), _u20433), _u20434) = c_Complete__Lattice_OSup__class_OSup(_u20431, hAPP(c_Set_OCollect(_u20431), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool), tc_HOL_Obool, _u20431), c_HOL_OEx(tc_fun(_u20432, _u20431))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool), tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool), _u20431), hAPP(c_COMBS(tc_fun(_u20432, _u20431), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20432, _u20431)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20432, _u20431), tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20432, _u20431))), _u20433)))), hAPP(hAPP(c_COMBC(_u20431, tc_fun(tc_fun(_u20432, _u20431), _u20431), tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20431, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20432, _u20431), _u20431), tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool)), _u20431), c_COMBB(_u20431, tc_HOL_Obool, tc_fun(_u20432, _u20431))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20432, _u20431), _u20432, _u20431), c_COMBI(tc_fun(_u20432, _u20431))), _u20434))))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Sup__fun__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Sup__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20435) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20436, _u20435), _u20437), _u20438) = c_Complete__Lattice_OSup__class_OSup(_u20435, hAPP(c_Set_OCollect(_u20435), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool), tc_HOL_Obool, _u20435), c_HOL_OEx(tc_fun(_u20436, _u20435))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool), tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool), _u20435), hAPP(c_COMBS(tc_fun(_u20436, _u20435), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20436, _u20435)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20436, _u20435), tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20436, _u20435))), _u20437)))), hAPP(hAPP(c_COMBC(_u20435, tc_fun(tc_fun(_u20436, _u20435), _u20435), tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20435, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20436, _u20435), _u20435), tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool)), _u20435), c_COMBB(_u20435, tc_HOL_Obool, tc_fun(_u20436, _u20435))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20436, _u20435), _u20436, _u20435), c_COMBI(tc_fun(_u20436, _u20435))), _u20438))))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Inf__apply ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Inf__apply-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20439) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20440, _u20439), _u20441), _u20442) = c_Complete__Lattice_OInf__class_OInf(_u20439, hAPP(c_Set_OCollect(_u20439), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool), tc_HOL_Obool, _u20439), c_HOL_OEx(tc_fun(_u20440, _u20439))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool), tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool), _u20439), hAPP(c_COMBS(tc_fun(_u20440, _u20439), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20440, _u20439)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20440, _u20439), tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20440, _u20439))), _u20441)))), hAPP(hAPP(c_COMBC(_u20439, tc_fun(tc_fun(_u20440, _u20439), _u20439), tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20439, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20440, _u20439), _u20439), tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool)), _u20439), c_COMBB(_u20439, tc_HOL_Obool, tc_fun(_u20440, _u20439))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20440, _u20439), _u20440, _u20439), c_COMBI(tc_fun(_u20440, _u20439))), _u20442))))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_Inf__fun__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_Inf__fun__def-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20443) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20444, _u20443), _u20445), _u20446) = c_Complete__Lattice_OInf__class_OInf(_u20443, hAPP(c_Set_OCollect(_u20443), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool), tc_HOL_Obool, _u20443), c_HOL_OEx(tc_fun(_u20444, _u20443))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool), tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool), _u20443), hAPP(c_COMBS(tc_fun(_u20444, _u20443), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20444, _u20443)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20444, _u20443), tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20444, _u20443))), _u20445)))), hAPP(hAPP(c_COMBC(_u20443, tc_fun(tc_fun(_u20444, _u20443), _u20443), tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20443, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20444, _u20443), _u20443), tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool)), _u20443), c_COMBB(_u20443, tc_HOL_Obool, tc_fun(_u20444, _u20443))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20444, _u20443), _u20444, _u20443), c_COMBI(tc_fun(_u20444, _u20443))), _u20446))))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_max__extp_Ointros ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_max__extp_Ointros-1, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20450)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20451)) | ( _u20451 = c_Orderings_Obot__class_Obot(tc_fun(_u20449, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20449, _u20452, _u20450, _u20451) | hBOOL(hAPP(hAPP(c_member(_u20449), skolem551(_u20452, _u20451, _u20450, _u20449)), _u20450)) )).
% 43.37/43.61 cnf(fact_max__extp_Ointros-2, axiom, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20450)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20451)) | ( _u20451 = c_Orderings_Obot__class_Obot(tc_fun(_u20449, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20449, _u20452, _u20450, _u20451) | ~hBOOL(hAPP(hAPP(c_member(_u20449), _u20447), _u20451)) | ~hBOOL(hAPP(hAPP(_u20452, skolem551(_u20452, _u20451, _u20450, _u20449)), _u20447)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_transp__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_transp__def-1, axiom, ( ~c_Predicate_Otransp(_u20455, _u20457) | c_Relation_Otrans(_u20455, hAPP(c_Set_OCollect(tc_prod(_u20455, _u20455)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20455, _u20455, tc_HOL_Obool), _u20457))) )).
% 43.37/43.61 cnf(fact_transp__def-2, axiom, ( ~c_Relation_Otrans(_u20456, hAPP(c_Set_OCollect(tc_prod(_u20456, _u20456)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20456, _u20456, tc_HOL_Obool), _u20458))) | c_Predicate_Otransp(_u20456, _u20458) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_transpE ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_transpE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20460, _u20461), _u20462)) | ~hBOOL(hAPP(hAPP(_u20460, _u20462), _u20463)) | hBOOL(hAPP(hAPP(_u20460, _u20461), _u20463)) | ~c_Predicate_Otransp(_u20459, _u20460) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_equivpE ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_equivpE-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20464, _u20465) | c_Predicate_Oreflp(_u20464, _u20465) )).
% 43.37/43.61 cnf(fact_equivpE-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20464, _u20465) | c_Predicate_Osymp(_u20464, _u20465) )).
% 43.37/43.61 cnf(fact_equivpE-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20464, _u20465) | c_Predicate_Otransp(_u20464, _u20465) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_equivpI ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_equivpI-1, axiom, ( ~c_Predicate_Oreflp(_u20466, _u20467) | ~c_Predicate_Osymp(_u20466, _u20467) | ~c_Predicate_Otransp(_u20466, _u20467) | c_Equiv__Relations_Oequivp(_u20466, _u20467) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sympE ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sympE-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20469, _u20470), _u20471)) | hBOOL(hAPP(hAPP(_u20469, _u20471), _u20470)) | ~c_Predicate_Osymp(_u20468, _u20469) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_equivp__reflp__symp__transp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_equivp__reflp__symp__transp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20474, _u20476) | c_Predicate_Oreflp(_u20474, _u20476) )).
% 43.37/43.61 cnf(fact_equivp__reflp__symp__transp-2, axiom, ( ~c_Equiv__Relations_Oequivp(_u20474, _u20476) | c_Predicate_Osymp(_u20474, _u20476) )).
% 43.37/43.61 cnf(fact_equivp__reflp__symp__transp-3, axiom, ( ~c_Equiv__Relations_Oequivp(_u20474, _u20476) | c_Predicate_Otransp(_u20474, _u20476) )).
% 43.37/43.61 cnf(fact_equivp__reflp__symp__transp-4, axiom, ( ~c_Predicate_Oreflp(_u20475, _u20477) | ~c_Predicate_Osymp(_u20475, _u20477) | ~c_Predicate_Otransp(_u20475, _u20477) | c_Equiv__Relations_Oequivp(_u20475, _u20477) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_max__extp_Osimps ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_max__extp_Osimps-1, axiom, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20486), _u20490)) )).
% 43.37/43.61 cnf(fact_max__extp_Osimps-2, axiom, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20486), _u20492)) )).
% 43.37/43.61 cnf(fact_max__extp_Osimps-3, axiom, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | ( _u20492 != c_Orderings_Obot__class_Obot(tc_fun(_u20486, tc_HOL_Obool))) )).
% 43.37/43.61 cnf(fact_max__extp_Osimps-4, axiom, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | ~hBOOL(hAPP(hAPP(c_member(_u20486), _u20479), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20486), skolem552(_u20492, _u20490, _u20488, _u20486, _u20479)), _u20492)) )).
% 43.37/43.61 cnf(fact_max__extp_Osimps-5, axiom, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | ~hBOOL(hAPP(hAPP(c_member(_u20486), _u20479), _u20490)) | hBOOL(hAPP(hAPP(_u20488, _u20479), skolem552(_u20492, _u20490, _u20488, _u20486, _u20479))) )).
% 43.37/43.61 cnf(fact_max__extp_Osimps-6, axiom, ( c_Wellfounded_Omax__extp(_u20487, _u20489, _u20491, _u20493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20487), _u20491)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20487), _u20493)) | ( _u20493 = c_Orderings_Obot__class_Obot(tc_fun(_u20487, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u20487), skolem553(_u20493, _u20491, _u20489, _u20487)), _u20491)) )).
% 43.37/43.61 cnf(fact_max__extp_Osimps-7, axiom, ( c_Wellfounded_Omax__extp(_u20487, _u20489, _u20491, _u20493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20487), _u20491)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20487), _u20493)) | ( _u20493 = c_Orderings_Obot__class_Obot(tc_fun(_u20487, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u20487), _u20480), _u20493)) | ~hBOOL(hAPP(hAPP(_u20489, skolem553(_u20493, _u20491, _u20489, _u20487)), _u20480)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_trans__diff__Id ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_trans__diff__Id-1, axiom, ( ~c_Relation_Otrans(_u20494, _u20495) | ~c_Relation_Oantisym(_u20494, _u20495) | c_Relation_Otrans(_u20494, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20494, _u20494), tc_HOL_Obool)), _u20495), c_Relation_OId(_u20494))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_antisym__converse ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_antisym__converse-1, axiom, ( ~c_Relation_Oantisym(_u20498, hAPP(c_Relation_Oconverse(_u20498, _u20498), _u20500)) | c_Relation_Oantisym(_u20498, _u20500) )).
% 43.37/43.61 cnf(fact_antisym__converse-2, axiom, ( ~c_Relation_Oantisym(_u20499, _u20501) | c_Relation_Oantisym(_u20499, hAPP(c_Relation_Oconverse(_u20499, _u20499), _u20501)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_antisym__empty ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_antisym__empty-1, axiom, ( c_Relation_Oantisym(_u20502, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u20502, _u20502), tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_antisym__Id__on ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_antisym__Id__on-1, axiom, ( c_Relation_Oantisym(_u20503, c_Relation_OId__on(_u20503, _u20504)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_antisym__Id ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_antisym__Id-1, axiom, ( c_Relation_Oantisym(_u20505, c_Relation_OId(_u20505)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_antisym__subset ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_antisym__subset-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20506, _u20506), tc_HOL_Obool)), _u20507), _u20508)) | ~c_Relation_Oantisym(_u20506, _u20508) | c_Relation_Oantisym(_u20506, _u20507) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_antisymD ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_antisymD-1, axiom, ( ~c_Relation_Oantisym(_u20509, _u20510) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20509, _u20509)), hAPP(hAPP(c_Product__Type_OPair(_u20509, _u20509), _u20511), _u20512)), _u20510)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20509, _u20509)), hAPP(hAPP(c_Product__Type_OPair(_u20509, _u20509), _u20512), _u20511)), _u20510)) | ( _u20511 = _u20512) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_antisym__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_antisym__def-1, axiom, ( ~c_Relation_Oantisym(_u20519, _u20521) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20519, _u20519)), hAPP(hAPP(c_Product__Type_OPair(_u20519, _u20519), _u20514), _u20513)), _u20521)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20519, _u20519)), hAPP(hAPP(c_Product__Type_OPair(_u20519, _u20519), _u20513), _u20514)), _u20521)) | ( _u20514 = _u20513) )).
% 43.37/43.61 cnf(fact_antisym__def-2, axiom, ( c_Relation_Oantisym(_u20520, _u20522) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20520, _u20520)), hAPP(hAPP(c_Product__Type_OPair(_u20520, _u20520), skolem554(_u20522, _u20520)), skolem555(_u20522, _u20520))), _u20522)) )).
% 43.37/43.61 cnf(fact_antisym__def-3, axiom, ( c_Relation_Oantisym(_u20520, _u20522) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20520, _u20520)), hAPP(hAPP(c_Product__Type_OPair(_u20520, _u20520), skolem555(_u20522, _u20520)), skolem554(_u20522, _u20520))), _u20522)) )).
% 43.37/43.61 cnf(fact_antisym__def-4, axiom, ( c_Relation_Oantisym(_u20520, _u20522) | ( skolem554(_u20522, _u20520) != skolem555(_u20522, _u20520)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_antisym__reflcl ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_antisym__reflcl-1, axiom, ( ~c_Relation_Oantisym(_u20525, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20525, _u20525), tc_HOL_Obool)), _u20527), c_Relation_OId(_u20525))) | c_Relation_Oantisym(_u20525, _u20527) )).
% 43.37/43.61 cnf(fact_antisym__reflcl-2, axiom, ( ~c_Relation_Oantisym(_u20526, _u20528) | c_Relation_Oantisym(_u20526, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20526, _u20526), tc_HOL_Obool)), _u20528), c_Relation_OId(_u20526))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_acyclic__impl__antisym__rtrancl ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_acyclic__impl__antisym__rtrancl-1, axiom, ( ~c_Wellfounded_Oacyclic(_u20529, _u20530) | c_Relation_Oantisym(_u20529, c_Transitive__Closure_Ortrancl(_u20529, _u20530)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_fun__lub__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_fun__lub__def-1, axiom, ( ( c_Partial__Function_Ofun__lub(_u20531, _u20532, _u20533, _u20534, _u20535, _u20536) = hAPP(_u20534, hAPP(c_Set_OCollect(_u20531), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool), tc_HOL_Obool, _u20531), c_HOL_OEx(tc_fun(_u20533, _u20531))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool), tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool), _u20531), hAPP(c_COMBS(tc_fun(_u20533, _u20531), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20533, _u20531)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20533, _u20531), tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20533, _u20531))), _u20535)))), hAPP(hAPP(c_COMBC(_u20531, tc_fun(tc_fun(_u20533, _u20531), _u20531), tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20531, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20533, _u20531), _u20531), tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool)), _u20531), c_COMBB(_u20531, tc_HOL_Obool, tc_fun(_u20533, _u20531))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20533, _u20531), _u20533, _u20531), c_COMBI(tc_fun(_u20533, _u20531))), _u20536))))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__trans__comp__subset ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__trans__comp__subset-1, axiom, ( ~c_Relation_Osym(_u20537, _u20538) | ~c_Relation_Otrans(_u20537, _u20538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20537, _u20537), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20537, _u20537, _u20537), hAPP(c_Relation_Oconverse(_u20537, _u20537), _u20538)), _u20538)), _u20538)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_symD ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_symD-1, axiom, ( ~c_Relation_Osym(_u20539, _u20540) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20539, _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20539), _u20541), _u20542)), _u20540)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20539, _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20539), _u20542), _u20541)), _u20540)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__def-1, axiom, ( ~c_Relation_Osym(_u20549, _u20551) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20549, _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20549), _u20544), _u20543)), _u20551)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20549, _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20549), _u20543), _u20544)), _u20551)) )).
% 43.37/43.61 cnf(fact_sym__def-2, axiom, ( c_Relation_Osym(_u20550, _u20552) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20550, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20550, _u20550), skolem556(_u20552, _u20550)), skolem557(_u20552, _u20550))), _u20552)) )).
% 43.37/43.61 cnf(fact_sym__def-3, axiom, ( c_Relation_Osym(_u20550, _u20552) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20550, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20550, _u20550), skolem557(_u20552, _u20550)), skolem556(_u20552, _u20550))), _u20552)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__inv__image ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__inv__image-1, axiom, ( ~c_Relation_Osym(_u20553, _u20554) | c_Relation_Osym(_u20555, hAPP(hAPP(c_Relation_Oinv__image(_u20553, _u20555), _u20554), _u20556)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__Un__converse ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__Un__converse-1, axiom, ( c_Relation_Osym(_u20557, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20557, _u20557), tc_HOL_Obool)), _u20558), hAPP(c_Relation_Oconverse(_u20557, _u20557), _u20558))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__rtrancl ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__rtrancl-1, axiom, ( ~c_Relation_Osym(_u20559, _u20560) | c_Relation_Osym(_u20559, c_Transitive__Closure_Ortrancl(_u20559, _u20560)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__Id__on ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__Id__on-1, axiom, ( c_Relation_Osym(_u20561, c_Relation_OId__on(_u20561, _u20562)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__trancl ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__trancl-1, axiom, ( ~c_Relation_Osym(_u20563, _u20564) | c_Relation_Osym(_u20563, c_Transitive__Closure_Otrancl(_u20563, _u20564)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__Un ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__Un-1, axiom, ( ~c_Relation_Osym(_u20565, _u20566) | ~c_Relation_Osym(_u20565, _u20567) | c_Relation_Osym(_u20565, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20565, _u20565), tc_HOL_Obool)), _u20566), _u20567)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__Id ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__Id-1, axiom, ( c_Relation_Osym(_u20568, c_Relation_OId(_u20568)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_listrel__sym ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_listrel__sym-1, axiom, ( ~c_Relation_Osym(_u20569, _u20570) | c_Relation_Osym(tc_List_Olist(_u20569), c_List_Olistrel(_u20569, _u20570)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__conv__converse__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__conv__converse__eq-1, axiom, ( ~c_Relation_Osym(_u20573, _u20575) | ( hAPP(c_Relation_Oconverse(_u20573, _u20573), _u20575) = _u20575) )).
% 43.37/43.61 cnf(fact_sym__conv__converse__eq-2, axiom, ( ( hAPP(c_Relation_Oconverse(_u20574, _u20574), _u20576) != _u20576) | c_Relation_Osym(_u20574, _u20576) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__converse ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__converse-1, axiom, ( ~c_Relation_Osym(_u20579, hAPP(c_Relation_Oconverse(_u20579, _u20579), _u20581)) | c_Relation_Osym(_u20579, _u20581) )).
% 43.37/43.61 cnf(fact_sym__converse-2, axiom, ( ~c_Relation_Osym(_u20580, _u20582) | c_Relation_Osym(_u20580, hAPP(c_Relation_Oconverse(_u20580, _u20580), _u20582)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__Int ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__Int-1, axiom, ( ~c_Relation_Osym(_u20583, _u20584) | ~c_Relation_Osym(_u20583, _u20585) | c_Relation_Osym(_u20583, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20583, _u20583), tc_HOL_Obool)), _u20584), _u20585)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_sym__Int__converse ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_sym__Int__converse-1, axiom, ( c_Relation_Osym(_u20586, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20586, _u20586), tc_HOL_Obool)), _u20587), hAPP(c_Relation_Oconverse(_u20586, _u20586), _u20587))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_equiv__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_equiv__def-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20591, _u20593, _u20595) | c_Relation_Orefl__on(_u20591, _u20593, _u20595) )).
% 43.37/43.61 cnf(fact_equiv__def-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u20591, _u20593, _u20595) | c_Relation_Osym(_u20591, _u20595) )).
% 43.37/43.61 cnf(fact_equiv__def-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u20591, _u20593, _u20595) | c_Relation_Otrans(_u20591, _u20595) )).
% 43.37/43.61 cnf(fact_equiv__def-4, axiom, ( ~c_Relation_Orefl__on(_u20592, _u20594, _u20596) | ~c_Relation_Osym(_u20592, _u20596) | ~c_Relation_Otrans(_u20592, _u20596) | c_Equiv__Relations_Oequiv(_u20592, _u20594, _u20596) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_equivI ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_equivI-1, axiom, ( ~c_Relation_Orefl__on(_u20597, _u20598, _u20599) | ~c_Relation_Osym(_u20597, _u20599) | ~c_Relation_Otrans(_u20597, _u20599) | c_Equiv__Relations_Oequiv(_u20597, _u20598, _u20599) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_equivE ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_equivE-1, axiom, ( ~c_Equiv__Relations_Oequiv(_u20600, _u20601, _u20602) | c_Relation_Orefl__on(_u20600, _u20601, _u20602) )).
% 43.37/43.61 cnf(fact_equivE-2, axiom, ( ~c_Equiv__Relations_Oequiv(_u20600, _u20601, _u20602) | c_Relation_Osym(_u20600, _u20602) )).
% 43.37/43.61 cnf(fact_equivE-3, axiom, ( ~c_Equiv__Relations_Oequiv(_u20600, _u20601, _u20602) | c_Relation_Otrans(_u20600, _u20602) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_symp__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_symp__def-1, axiom, ( ~c_Predicate_Osymp(_u20605, _u20607) | c_Relation_Osym(_u20605, hAPP(c_Set_OCollect(tc_prod(_u20605, _u20605)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20605, _u20605, tc_HOL_Obool), _u20607))) )).
% 43.37/43.61 cnf(fact_symp__def-2, axiom, ( ~c_Relation_Osym(_u20606, hAPP(c_Set_OCollect(tc_prod(_u20606, _u20606)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20606, _u20606, tc_HOL_Obool), _u20608))) | c_Predicate_Osymp(_u20606, _u20608) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_part__equivpI ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_part__equivpI-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20610, _u20609), _u20609)) | ~c_Predicate_Osymp(_u20611, _u20610) | ~c_Predicate_Otransp(_u20611, _u20610) | c_Equiv__Relations_Opart__equivp(_u20611, _u20610) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_part__equivp__refl__symp__transp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_part__equivp__refl__symp__transp-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20616, _u20618) | hBOOL(hAPP(hAPP(_u20618, skolem558(_u20618, _u20616)), skolem558(_u20618, _u20616))) )).
% 43.37/43.61 cnf(fact_part__equivp__refl__symp__transp-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20616, _u20618) | c_Predicate_Osymp(_u20616, _u20618) )).
% 43.37/43.61 cnf(fact_part__equivp__refl__symp__transp-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20616, _u20618) | c_Predicate_Otransp(_u20616, _u20618) )).
% 43.37/43.61 cnf(fact_part__equivp__refl__symp__transp-4, axiom, ( ~hBOOL(hAPP(hAPP(_u20619, _u20613), _u20613)) | ~c_Predicate_Osymp(_u20617, _u20619) | ~c_Predicate_Otransp(_u20617, _u20619) | c_Equiv__Relations_Opart__equivp(_u20617, _u20619) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_equivp__implies__part__equivp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_equivp__implies__part__equivp-1, axiom, ( ~c_Equiv__Relations_Oequivp(_u20620, _u20621) | c_Equiv__Relations_Opart__equivp(_u20620, _u20621) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_part__equivp__transp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_part__equivp__transp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20623, _u20624), _u20625)) | ~hBOOL(hAPP(hAPP(_u20623, _u20625), _u20626)) | hBOOL(hAPP(hAPP(_u20623, _u20624), _u20626)) | ~c_Equiv__Relations_Opart__equivp(_u20622, _u20623) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_part__equivp__symp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_part__equivp__symp-1, axiom, ( ~hBOOL(hAPP(hAPP(_u20628, _u20629), _u20630)) | hBOOL(hAPP(hAPP(_u20628, _u20630), _u20629)) | ~c_Equiv__Relations_Opart__equivp(_u20627, _u20628) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_part__equivp__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_part__equivp__def-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | hBOOL(hAPP(hAPP(_u20649, skolem559(_u20649)), skolem559(_u20649))) )).
% 43.37/43.61 cnf(fact_part__equivp__def-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | ~hBOOL(hAPP(hAPP(_u20649, _u20641), _u20639)) | hBOOL(hAPP(hAPP(_u20649, _u20641), _u20641)) )).
% 43.37/43.61 cnf(fact_part__equivp__def-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | ~hBOOL(hAPP(hAPP(_u20649, _u20641), _u20639)) | hBOOL(hAPP(hAPP(_u20649, _u20639), _u20639)) )).
% 43.37/43.61 cnf(fact_part__equivp__def-4, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | ~hBOOL(hAPP(hAPP(_u20649, _u20641), _u20639)) | ( hAPP(_u20649, _u20641) = hAPP(_u20649, _u20639)) )).
% 43.37/43.61 cnf(fact_part__equivp__def-5, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | ~hBOOL(hAPP(hAPP(_u20649, _u20642), _u20642)) | ~hBOOL(hAPP(hAPP(_u20649, _u20640), _u20640)) | ( hAPP(_u20649, _u20642) != hAPP(_u20649, _u20640)) | hBOOL(hAPP(hAPP(_u20649, _u20642), _u20640)) )).
% 43.37/43.61 cnf(fact_part__equivp__def-6, axiom, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem561(_u20650))) | hBOOL(hAPP(hAPP(_u20650, skolem562(_u20650)), skolem562(_u20650))) )).
% 43.37/43.61 cnf(fact_part__equivp__def-7, axiom, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem561(_u20650))) | hBOOL(hAPP(hAPP(_u20650, skolem563(_u20650)), skolem563(_u20650))) )).
% 43.37/43.61 cnf(fact_part__equivp__def-8, axiom, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem562(_u20650)) = hAPP(_u20650, skolem563(_u20650))) )).
% 43.37/43.61 cnf(fact_part__equivp__def-9, axiom, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem561(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem562(_u20650)), skolem563(_u20650))) )).
% 43.37/43.61 cnf(fact_part__equivp__def-10, axiom, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | ~hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem560(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem561(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem560(_u20650)) != hAPP(_u20650, skolem561(_u20650))) | hBOOL(hAPP(hAPP(_u20650, skolem562(_u20650)), skolem562(_u20650))) )).
% 43.37/43.61 cnf(fact_part__equivp__def-11, axiom, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | ~hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem560(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem561(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem560(_u20650)) != hAPP(_u20650, skolem561(_u20650))) | hBOOL(hAPP(hAPP(_u20650, skolem563(_u20650)), skolem563(_u20650))) )).
% 43.37/43.61 cnf(fact_part__equivp__def-12, axiom, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | ~hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem560(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem561(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem560(_u20650)) != hAPP(_u20650, skolem561(_u20650))) | ( hAPP(_u20650, skolem562(_u20650)) = hAPP(_u20650, skolem563(_u20650))) )).
% 43.37/43.61 cnf(fact_part__equivp__def-13, axiom, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | ~hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem560(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem561(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem560(_u20650)) != hAPP(_u20650, skolem561(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem562(_u20650)), skolem563(_u20650))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_part__equivpE ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_part__equivpE-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20652, _u20653) | hBOOL(hAPP(hAPP(_u20653, skolem564(_u20653, _u20652)), skolem564(_u20653, _u20652))) )).
% 43.37/43.61 cnf(fact_part__equivpE-2, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20652, _u20653) | c_Predicate_Osymp(_u20652, _u20653) )).
% 43.37/43.61 cnf(fact_part__equivpE-3, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20652, _u20653) | c_Predicate_Otransp(_u20652, _u20653) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_part__equivp__typedef ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_part__equivp__typedef-1, axiom, ( ~c_Equiv__Relations_Opart__equivp(_u20655, _u20656) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20655, tc_HOL_Obool)), skolem565(_u20656, _u20655)), hAPP(hAPP(c_COMBB(tc_fun(_u20655, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20655, tc_HOL_Obool)), c_HOL_OEx(_u20655)), hAPP(hAPP(c_COMBB(tc_fun(_u20655, tc_HOL_Obool), tc_fun(_u20655, tc_HOL_Obool), tc_fun(_u20655, tc_HOL_Obool)), hAPP(c_COMBS(_u20655, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20655), c_fconj), hAPP(hAPP(c_COMBS(_u20655, _u20655, tc_HOL_Obool), _u20656), c_COMBI(_u20655))))), hAPP(hAPP(c_COMBC(tc_fun(_u20655, tc_HOL_Obool), tc_fun(_u20655, tc_fun(_u20655, tc_HOL_Obool)), tc_fun(_u20655, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20655, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20655, tc_fun(_u20655, tc_HOL_Obool)), tc_fun(_u20655, tc_HOL_Obool)), tc_fun(_u20655, tc_HOL_Obool)), c_COMBB(tc_fun(_u20655, tc_HOL_Obool), tc_HOL_Obool, _u20655)), c_fequal)), _u20656))))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__o__cancel ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20657, _u20658, _u20659, c_Orderings_Otop__class_Otop(tc_fun(_u20657, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20658, _u20657, _u20657, c_Hilbert__Choice_Oinv__into(_u20657, _u20658, c_Orderings_Otop__class_Otop(tc_fun(_u20657, tc_HOL_Obool)), _u20659)), _u20659) = c_Fun_Oid(_u20657)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inj__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inj__iff-1, axiom, ( ~c_Fun_Oinj__on(_u20663, _u20665, _u20667, c_Orderings_Otop__class_Otop(tc_fun(_u20663, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20665, _u20663, _u20663, c_Hilbert__Choice_Oinv__into(_u20663, _u20665, c_Orderings_Otop__class_Otop(tc_fun(_u20663, tc_HOL_Obool)), _u20667)), _u20667) = c_Fun_Oid(_u20663)) )).
% 43.37/43.61 cnf(fact_inj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u20666, _u20664, _u20664, c_Hilbert__Choice_Oinv__into(_u20664, _u20666, c_Orderings_Otop__class_Otop(tc_fun(_u20664, tc_HOL_Obool)), _u20668)), _u20668) != c_Fun_Oid(_u20664)) | c_Fun_Oinj__on(_u20664, _u20666, _u20668, c_Orderings_Otop__class_Otop(tc_fun(_u20664, tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__id ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__id-1, axiom, ( ( c_Hilbert__Choice_Oinv__into(_u20669, _u20669, c_Orderings_Otop__class_Otop(tc_fun(_u20669, tc_HOL_Obool)), c_Fun_Oid(_u20669)) = c_Fun_Oid(_u20669)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_f__inv__into__f ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_f__inv__into__f-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20670), _u20671), hAPP(c_Set_Oimage(_u20672, _u20670, _u20673), _u20674))) | ( hAPP(_u20673, hAPP(c_Hilbert__Choice_Oinv__into(_u20672, _u20670, _u20674, _u20673), _u20671)) = _u20671) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__into__into ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__into__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(_u20675), _u20676), hAPP(c_Set_Oimage(_u20677, _u20675, _u20678), _u20679))) | hBOOL(hAPP(hAPP(c_member(_u20677), hAPP(c_Hilbert__Choice_Oinv__into(_u20677, _u20675, _u20679, _u20678), _u20676)), _u20679)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__into__injective ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__into__injective-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20680, _u20681, _u20682, _u20683), _u20684) != hAPP(c_Hilbert__Choice_Oinv__into(_u20680, _u20681, _u20682, _u20683), _u20685)) | ~hBOOL(hAPP(hAPP(c_member(_u20681), _u20684), hAPP(c_Set_Oimage(_u20680, _u20681, _u20683), _u20682))) | ~hBOOL(hAPP(hAPP(c_member(_u20681), _u20685), hAPP(c_Set_Oimage(_u20680, _u20681, _u20683), _u20682))) | ( _u20684 = _u20685) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_image__surj__f__inv__f ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_image__surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u20686, _u20687, _u20688), c_Orderings_Otop__class_Otop(tc_fun(_u20686, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20687, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20686, _u20687, _u20688), hAPP(c_Set_Oimage(_u20687, _u20686, c_Hilbert__Choice_Oinv__into(_u20686, _u20687, c_Orderings_Otop__class_Otop(tc_fun(_u20686, tc_HOL_Obool)), _u20688)), _u20689)) = _u20689) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_surj__f__inv__f ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_surj__f__inv__f-1, axiom, ( ( hAPP(c_Set_Oimage(_u20690, _u20691, _u20692), c_Orderings_Otop__class_Otop(tc_fun(_u20690, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20691, tc_HOL_Obool))) | ( hAPP(_u20692, hAPP(c_Hilbert__Choice_Oinv__into(_u20690, _u20691, c_Orderings_Otop__class_Otop(tc_fun(_u20690, tc_HOL_Obool)), _u20692), _u20693)) = _u20693) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_surj__iff__all ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_surj__iff__all-1, axiom, ( ( hAPP(c_Set_Oimage(_u20699, _u20701, _u20703), c_Orderings_Otop__class_Otop(tc_fun(_u20699, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20701, tc_HOL_Obool))) | ( hAPP(_u20703, hAPP(c_Hilbert__Choice_Oinv__into(_u20699, _u20701, c_Orderings_Otop__class_Otop(tc_fun(_u20699, tc_HOL_Obool)), _u20703), _u20694)) = _u20694) )).
% 43.37/43.61 cnf(fact_surj__iff__all-2, axiom, ( ( hAPP(_u20704, hAPP(c_Hilbert__Choice_Oinv__into(_u20700, _u20702, c_Orderings_Otop__class_Otop(tc_fun(_u20700, tc_HOL_Obool)), _u20704), skolem566(_u20704, _u20702, _u20700))) != skolem566(_u20704, _u20702, _u20700)) | ( hAPP(c_Set_Oimage(_u20700, _u20702, _u20704), c_Orderings_Otop__class_Otop(tc_fun(_u20700, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20702, tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_image__inv__into__cancel ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_image__inv__into__cancel-1, axiom, ( ( hAPP(c_Set_Oimage(_u20705, _u20706, _u20707), _u20708) != _u20709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20706, tc_HOL_Obool)), _u20710), _u20709)) | ( hAPP(c_Set_Oimage(_u20705, _u20706, _u20707), hAPP(c_Set_Oimage(_u20706, _u20705, c_Hilbert__Choice_Oinv__into(_u20705, _u20706, _u20708, _u20707)), _u20710)) = _u20710) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__into__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__into__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20711, _u20712, _u20713, _u20714), _u20715) = c_Hilbert__Choice_OEps(_u20711, hAPP(hAPP(c_COMBS(_u20711, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20711), c_fconj), hAPP(hAPP(c_COMBC(_u20711, tc_fun(_u20711, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20711)), _u20713))), hAPP(hAPP(c_COMBC(_u20711, _u20712, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20712, tc_fun(_u20712, tc_HOL_Obool), _u20711), c_fequal), _u20714)), _u20715)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__def-1, axiom, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20716, _u20717, c_Orderings_Otop__class_Otop(tc_fun(_u20716, tc_HOL_Obool)), _u20718), _u20719) = c_Hilbert__Choice_OEps(_u20716, hAPP(hAPP(c_COMBC(_u20716, _u20717, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20717, tc_fun(_u20717, tc_HOL_Obool), _u20716), c_fequal), _u20718)), _u20719))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__f__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u20720, _u20721, _u20722, c_Orderings_Otop__class_Otop(tc_fun(_u20720, tc_HOL_Obool))) | ( hAPP(_u20722, _u20723) != _u20724) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20720, _u20721, c_Orderings_Otop__class_Otop(tc_fun(_u20720, tc_HOL_Obool)), _u20722), _u20724) = _u20723) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__f__f ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20725, _u20726, _u20727, c_Orderings_Otop__class_Otop(tc_fun(_u20725, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20725, _u20726, c_Orderings_Otop__class_Otop(tc_fun(_u20725, tc_HOL_Obool)), _u20727), hAPP(_u20727, _u20728)) = _u20728) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__into__f__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__into__f__eq-1, axiom, ( ~c_Fun_Oinj__on(_u20729, _u20730, _u20731, _u20732) | ~hBOOL(hAPP(hAPP(c_member(_u20729), _u20733), _u20732)) | ( hAPP(_u20731, _u20733) != _u20734) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20729, _u20730, _u20732, _u20731), _u20734) = _u20733) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__into__f__f ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__into__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20735, _u20736, _u20737, _u20738) | ~hBOOL(hAPP(hAPP(c_member(_u20735), _u20739), _u20738)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20735, _u20736, _u20738, _u20737), hAPP(_u20737, _u20739)) = _u20739) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inj__imp__surj__inv ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inj__imp__surj__inv-1, axiom, ( ~c_Fun_Oinj__on(_u20740, _u20741, _u20742, c_Orderings_Otop__class_Otop(tc_fun(_u20740, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20741, _u20740, c_Hilbert__Choice_Oinv__into(_u20740, _u20741, c_Orderings_Otop__class_Otop(tc_fun(_u20740, tc_HOL_Obool)), _u20742)), c_Orderings_Otop__class_Otop(tc_fun(_u20741, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20740, tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_image__inv__f__f ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_image__inv__f__f-1, axiom, ( ~c_Fun_Oinj__on(_u20743, _u20744, _u20745, c_Orderings_Otop__class_Otop(tc_fun(_u20743, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20744, _u20743, c_Hilbert__Choice_Oinv__into(_u20743, _u20744, c_Orderings_Otop__class_Otop(tc_fun(_u20743, tc_HOL_Obool)), _u20745)), hAPP(c_Set_Oimage(_u20743, _u20744, _u20745), _u20746)) = _u20746) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__image__comp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__image__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20747, _u20748, _u20749, c_Orderings_Otop__class_Otop(tc_fun(_u20747, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20748, _u20747, c_Hilbert__Choice_Oinv__into(_u20747, _u20748, c_Orderings_Otop__class_Otop(tc_fun(_u20747, tc_HOL_Obool)), _u20749)), hAPP(c_Set_Oimage(_u20747, _u20748, _u20749), _u20750)) = _u20750) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_surj__imp__inj__inv ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_surj__imp__inj__inv-1, axiom, ( ( hAPP(c_Set_Oimage(_u20751, _u20752, _u20753), c_Orderings_Otop__class_Otop(tc_fun(_u20751, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20752, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20752, _u20751, c_Hilbert__Choice_Oinv__into(_u20751, _u20752, c_Orderings_Otop__class_Otop(tc_fun(_u20751, tc_HOL_Obool)), _u20753), c_Orderings_Otop__class_Otop(tc_fun(_u20752, tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__into__image__cancel ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__into__image__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20754, _u20755, _u20756, _u20757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20754, tc_HOL_Obool)), _u20758), _u20757)) | ( hAPP(c_Set_Oimage(_u20755, _u20754, c_Hilbert__Choice_Oinv__into(_u20754, _u20755, _u20757, _u20756)), hAPP(c_Set_Oimage(_u20754, _u20755, _u20756), _u20758)) = _u20758) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inj__on__inv__into ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inj__on__inv__into-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20759, tc_HOL_Obool)), _u20760), hAPP(c_Set_Oimage(_u20761, _u20759, _u20762), _u20763))) | c_Fun_Oinj__on(_u20759, _u20761, c_Hilbert__Choice_Oinv__into(_u20761, _u20759, _u20763, _u20762), _u20760) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_o__inv__o__cancel ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_o__inv__o__cancel-1, axiom, ( ~c_Fun_Oinj__on(_u20764, _u20765, _u20766, c_Orderings_Otop__class_Otop(tc_fun(_u20764, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20765, _u20767, _u20764, hAPP(c_Fun_Ocomp(_u20764, _u20767, _u20765, _u20768), c_Hilbert__Choice_Oinv__into(_u20764, _u20765, c_Orderings_Otop__class_Otop(tc_fun(_u20764, tc_HOL_Obool)), _u20766))), _u20766) = _u20768) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__into__comp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__into__comp-1, axiom, ( ~c_Fun_Oinj__on(_u20769, _u20770, _u20771, hAPP(c_Set_Oimage(_u20772, _u20769, _u20773), _u20774)) | ~c_Fun_Oinj__on(_u20772, _u20769, _u20773, _u20774) | ~hBOOL(hAPP(hAPP(c_member(_u20770), _u20775), hAPP(c_Set_Oimage(_u20769, _u20770, _u20771), hAPP(c_Set_Oimage(_u20772, _u20769, _u20773), _u20774)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20772, _u20770, _u20774, hAPP(c_Fun_Ocomp(_u20769, _u20770, _u20772, _u20771), _u20773)), _u20775) = hAPP(hAPP(c_Fun_Ocomp(_u20769, _u20772, _u20770, c_Hilbert__Choice_Oinv__into(_u20772, _u20769, _u20774, _u20773)), c_Hilbert__Choice_Oinv__into(_u20769, _u20770, hAPP(c_Set_Oimage(_u20772, _u20769, _u20773), _u20774), _u20771)), _u20775)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_surj__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_surj__iff-1, axiom, ( ( hAPP(c_Set_Oimage(_u20779, _u20781, _u20783), c_Orderings_Otop__class_Otop(tc_fun(_u20779, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20781, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20779, _u20781, _u20781, _u20783), c_Hilbert__Choice_Oinv__into(_u20779, _u20781, c_Orderings_Otop__class_Otop(tc_fun(_u20779, tc_HOL_Obool)), _u20783)) = c_Fun_Oid(_u20781)) )).
% 43.37/43.61 cnf(fact_surj__iff-2, axiom, ( ( hAPP(c_Fun_Ocomp(_u20780, _u20782, _u20782, _u20784), c_Hilbert__Choice_Oinv__into(_u20780, _u20782, c_Orderings_Otop__class_Otop(tc_fun(_u20780, tc_HOL_Obool)), _u20784)) != c_Fun_Oid(_u20782)) | ( hAPP(c_Set_Oimage(_u20780, _u20782, _u20784), c_Orderings_Otop__class_Otop(tc_fun(_u20780, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20782, tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inj__transfer ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inj__transfer-1, axiom, ( ~c_Fun_Oinj__on(_u20786, _u20787, _u20788, c_Orderings_Otop__class_Otop(tc_fun(_u20786, tc_HOL_Obool))) | hBOOL(hAPP(_u20789, _u20790)) | hBOOL(hAPP(hAPP(c_member(_u20787), skolem567(_u20790, _u20789, _u20788, _u20787, _u20786)), hAPP(c_Set_Oimage(_u20786, _u20787, _u20788), c_Orderings_Otop__class_Otop(tc_fun(_u20786, tc_HOL_Obool))))) )).
% 43.37/43.61 cnf(fact_inj__transfer-2, axiom, ( ~c_Fun_Oinj__on(_u20786, _u20787, _u20788, c_Orderings_Otop__class_Otop(tc_fun(_u20786, tc_HOL_Obool))) | hBOOL(hAPP(_u20789, _u20790)) | ~hBOOL(hAPP(_u20789, hAPP(c_Hilbert__Choice_Oinv__into(_u20786, _u20787, c_Orderings_Otop__class_Otop(tc_fun(_u20786, tc_HOL_Obool)), _u20788), skolem567(_u20790, _u20789, _u20788, _u20787, _u20786)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_fold__image__UN__disjoint ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_fold__image__UN__disjoint-1, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) )).
% 43.37/43.61 cnf(fact_fold__image__UN__disjoint-2, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) )).
% 43.37/43.61 cnf(fact_fold__image__UN__disjoint-3, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | ( skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794) != skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)) )).
% 43.37/43.61 cnf(fact_fold__image__UN__disjoint-4, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20797, tc_HOL_Obool)), hAPP(_u20798, skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794))), hAPP(_u20798, skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794))) != c_Orderings_Obot__class_Obot(tc_fun(_u20797, tc_HOL_Obool))) )).
% 43.37/43.61 cnf(fact_fold__image__UN__disjoint-5, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20797), hAPP(_u20798, skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) )).
% 43.37/43.61 cnf(fact_fold__image__UN__disjoint-6, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20797), hAPP(_u20798, skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) )).
% 43.37/43.61 cnf(fact_fold__image__UN__disjoint-7, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20797), hAPP(_u20798, skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | ( skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794) != skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)) )).
% 43.37/43.61 cnf(fact_fold__image__UN__disjoint-8, axiom, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20797), hAPP(_u20798, skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20797, tc_HOL_Obool)), hAPP(_u20798, skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794))), hAPP(_u20798, skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794))) != c_Orderings_Obot__class_Obot(tc_fun(_u20797, tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_nat__of__induct ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_nat__of__induct-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20801), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20802, hAPP(c_Code__Numeral_Onat__of, skolem571(_u20802, _u20801)))) | hBOOL(hAPP(_u20802, _u20801)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_nat__of__cases ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_nat__of__cases-1, axiom, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20804), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20804 = hAPP(c_Code__Numeral_Onat__of, skolem572(_u20804))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_of__nat__cases ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_of__nat__cases-1, axiom, ( ( _u20806 = hAPP(c_Code__Numeral_Oof__nat, skolem573(_u20806))) )).
% 43.37/43.61 cnf(fact_of__nat__cases-2, axiom, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem573(_u20806)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_of__nat__induct ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_of__nat__induct-1, axiom, ( hBOOL(hAPP(_u20808, _u20809)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem574(_u20809, _u20808)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.37/43.61 cnf(fact_of__nat__induct-2, axiom, ( hBOOL(hAPP(_u20808, _u20809)) | ~hBOOL(hAPP(_u20808, hAPP(c_Code__Numeral_Oof__nat, skolem574(_u20809, _u20808)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Orecs_I1_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Orecs_I1_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20810, _u20811, _u20812, _u20813, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20811)) = _u20812) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_beyond__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_beyond__def-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20816), _u20818)) | ( c_Quickcheck_Obeyond(_u20816, _u20818) = _u20818) )).
% 43.37/43.61 cnf(fact_beyond__def-2, axiom, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20817), _u20819)) | ( c_Quickcheck_Obeyond(_u20817, _u20819) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_beyond__zero ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_beyond__zero-1, axiom, ( ( c_Quickcheck_Obeyond(_u20820, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_lazy__sequence_Orecs_I2_J ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_lazy__sequence_Orecs_I2_J-1, axiom, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20821, _u20822, _u20823, _u20824, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20822, _u20825, _u20826)) = hAPP(hAPP(hAPP(_u20824, _u20825), _u20826), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20821, _u20822, _u20823, _u20824, _u20826))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__image__Collect__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__image__Collect__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20827, _u20828, _u20829, c_Orderings_Otop__class_Otop(tc_fun(_u20827, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20828, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20827, _u20828, _u20829), hAPP(c_Set_OCollect(_u20827), _u20830)) = hAPP(c_Set_OCollect(_u20828), hAPP(hAPP(c_COMBB(_u20827, tc_HOL_Obool, _u20828), _u20830), c_Hilbert__Choice_Oinv__into(_u20827, _u20828, c_Orderings_Otop__class_Otop(tc_fun(_u20827, tc_HOL_Obool)), _u20829)))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_curry__def ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_curry__def-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20831, _u20832, _u20833, _u20834), _u20835), _u20836) = hAPP(_u20834, hAPP(hAPP(c_Product__Type_OPair(_u20831, _u20832), _u20835), _u20836))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_curryI ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_curryI-1, axiom, ( ~hBOOL(hAPP(_u20837, hAPP(hAPP(c_Product__Type_OPair(_u20838, _u20839), _u20840), _u20841))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20838, _u20839, tc_HOL_Obool, _u20837), _u20840), _u20841)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__betw__id ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__betw__id-1, axiom, ( c_Fun_Obij__betw(_u20842, _u20842, c_Fun_Oid(_u20842), _u20843, _u20843) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__into__inv__into__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__into__inv__into__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20844, _u20845, _u20846, _u20847, _u20848) | ~hBOOL(hAPP(hAPP(c_member(_u20844), _u20849), _u20847)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20845, _u20844, _u20848, c_Hilbert__Choice_Oinv__into(_u20844, _u20845, _u20847, _u20846)), _u20849) = hAPP(_u20846, _u20849)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__betw__inv__into ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__betw__inv__into-1, axiom, ( ~c_Fun_Obij__betw(_u20850, _u20851, _u20852, _u20853, _u20854) | c_Fun_Obij__betw(_u20851, _u20850, c_Hilbert__Choice_Oinv__into(_u20850, _u20851, _u20853, _u20852), _u20854, _u20853) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__imp__bij__inv ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__imp__bij__inv-1, axiom, ( ~c_Fun_Obij__betw(_u20855, _u20856, _u20857, c_Orderings_Otop__class_Otop(tc_fun(_u20855, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20856, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20856, _u20855, c_Hilbert__Choice_Oinv__into(_u20855, _u20856, c_Orderings_Otop__class_Otop(tc_fun(_u20855, tc_HOL_Obool)), _u20857), c_Orderings_Otop__class_Otop(tc_fun(_u20856, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20855, tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_inv__inv__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_inv__inv__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20858, _u20859, _u20860, c_Orderings_Otop__class_Otop(tc_fun(_u20858, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20859, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20859, _u20858, c_Orderings_Otop__class_Otop(tc_fun(_u20859, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20858, _u20859, c_Orderings_Otop__class_Otop(tc_fun(_u20858, tc_HOL_Obool)), _u20860)) = _u20860) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_o__inv__distrib ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_o__inv__distrib-1, axiom, ( ~c_Fun_Obij__betw(_u20861, _u20862, _u20863, c_Orderings_Otop__class_Otop(tc_fun(_u20861, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20862, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20864, _u20861, _u20865, c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20861, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20864, _u20862, c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20861, _u20862, _u20864, _u20863), _u20865)) = hAPP(c_Fun_Ocomp(_u20861, _u20864, _u20862, c_Hilbert__Choice_Oinv__into(_u20864, _u20861, c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool)), _u20865)), c_Hilbert__Choice_Oinv__into(_u20861, _u20862, c_Orderings_Otop__class_Otop(tc_fun(_u20861, tc_HOL_Obool)), _u20863))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__betw__comp__iff2 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__betw__comp__iff2-1, axiom, ( ~c_Fun_Obij__betw(_u20866, _u20867, _u20868, _u20869, _u20870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20866, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20871, _u20866, _u20872), _u20873)), _u20869)) | ~c_Fun_Obij__betw(_u20871, _u20866, _u20872, _u20873, _u20869) | c_Fun_Obij__betw(_u20871, _u20867, hAPP(c_Fun_Ocomp(_u20866, _u20867, _u20871, _u20868), _u20872), _u20873, _u20870) )).
% 43.37/43.61 cnf(fact_bij__betw__comp__iff2-2, axiom, ( ~c_Fun_Obij__betw(_u20866, _u20867, _u20868, _u20869, _u20870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20866, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20871, _u20866, _u20872), _u20873)), _u20869)) | ~c_Fun_Obij__betw(_u20871, _u20867, hAPP(c_Fun_Ocomp(_u20866, _u20867, _u20871, _u20868), _u20872), _u20873, _u20870) | c_Fun_Obij__betw(_u20871, _u20866, _u20872, _u20873, _u20869) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__betw__trans ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__betw__trans-1, axiom, ( ~c_Fun_Obij__betw(_u20874, _u20875, _u20876, _u20877, _u20878) | ~c_Fun_Obij__betw(_u20875, _u20879, _u20880, _u20878, _u20881) | c_Fun_Obij__betw(_u20874, _u20879, hAPP(c_Fun_Ocomp(_u20875, _u20879, _u20874, _u20880), _u20876), _u20877, _u20881) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__betw__comp__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__betw__comp__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20882, _u20883, _u20884, _u20885, _u20886) | ~c_Fun_Obij__betw(_u20883, _u20887, _u20888, _u20886, _u20889) | c_Fun_Obij__betw(_u20882, _u20887, hAPP(c_Fun_Ocomp(_u20883, _u20887, _u20882, _u20888), _u20884), _u20885, _u20889) )).
% 43.37/43.61 cnf(fact_bij__betw__comp__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20882, _u20883, _u20884, _u20885, _u20886) | ~c_Fun_Obij__betw(_u20882, _u20887, hAPP(c_Fun_Ocomp(_u20883, _u20887, _u20882, _u20888), _u20884), _u20885, _u20889) | c_Fun_Obij__betw(_u20883, _u20887, _u20888, _u20886, _u20889) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__comp ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__comp-1, axiom, ( ~c_Fun_Obij__betw(_u20890, _u20891, _u20892, c_Orderings_Otop__class_Otop(tc_fun(_u20890, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20891, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20891, _u20893, _u20894, c_Orderings_Otop__class_Otop(tc_fun(_u20891, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20893, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20890, _u20893, hAPP(c_Fun_Ocomp(_u20891, _u20893, _u20890, _u20894), _u20892), c_Orderings_Otop__class_Otop(tc_fun(_u20890, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20893, tc_HOL_Obool))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_curryE ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_curryE-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20895, _u20896, tc_HOL_Obool, _u20897), _u20898), _u20899)) | hBOOL(hAPP(_u20897, hAPP(hAPP(c_Product__Type_OPair(_u20895, _u20896), _u20898), _u20899))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_curryD ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_curryD-1, axiom, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20900, _u20901, tc_HOL_Obool, _u20902), _u20903), _u20904)) | hBOOL(hAPP(_u20902, hAPP(hAPP(c_Product__Type_OPair(_u20900, _u20901), _u20903), _u20904))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_curry__conv ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_curry__conv-1, axiom, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20905, _u20906, _u20907, _u20908), _u20909), _u20910) = hAPP(_u20908, hAPP(hAPP(c_Product__Type_OPair(_u20905, _u20906), _u20909), _u20910))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_curry__split ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_curry__split-1, axiom, ( ( c_Product__Type_Ocurry(_u20911, _u20912, _u20913, hAPP(c_Product__Type_Oprod_Oprod__case(_u20911, _u20912, _u20913), _u20914)) = _u20914) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_split__curry ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_split__curry-1, axiom, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20915, _u20916, _u20917), c_Product__Type_Ocurry(_u20915, _u20916, _u20917, _u20918)) = _u20918) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__image__INT ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__image__INT-1, axiom, ( ~c_Fun_Obij__betw(_u20919, _u20920, _u20921, c_Orderings_Otop__class_Otop(tc_fun(_u20919, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20920, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20919, _u20920, _u20921), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20922, tc_fun(_u20919, tc_HOL_Obool)), _u20923), _u20924)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20922, tc_fun(_u20920, tc_HOL_Obool)), _u20923), hAPP(hAPP(c_COMBB(tc_fun(_u20919, tc_HOL_Obool), tc_fun(_u20920, tc_HOL_Obool), _u20922), c_Set_Oimage(_u20919, _u20920, _u20921)), _u20924))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__image__Compl__eq ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__image__Compl__eq-1, axiom, ( ~c_Fun_Obij__betw(_u20925, _u20926, _u20927, c_Orderings_Otop__class_Otop(tc_fun(_u20925, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20926, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20925, _u20926, _u20927), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20925, tc_HOL_Obool)), _u20928)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20926, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20925, _u20926, _u20927), _u20928))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_finite__vimage__iff ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_finite__vimage__iff-1, axiom, ( ~c_Fun_Obij__betw(_u20929, _u20930, _u20931, c_Orderings_Otop__class_Otop(tc_fun(_u20929, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20930, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20929), hAPP(c_Set_Ovimage(_u20929, _u20930, _u20931), _u20932))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20930), _u20932)) )).
% 43.37/43.61 cnf(fact_finite__vimage__iff-2, axiom, ( ~c_Fun_Obij__betw(_u20929, _u20930, _u20931, c_Orderings_Otop__class_Otop(tc_fun(_u20929, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20930, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20930), _u20932)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20929), hAPP(c_Set_Ovimage(_u20929, _u20930, _u20931), _u20932))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: fact_bij__betw__combine ( axiom ) converted to clauses:
% 43.37/43.61 cnf(fact_bij__betw__combine-1, axiom, ( ~c_Fun_Obij__betw(_u20933, _u20934, _u20935, _u20936, _u20937) | ~c_Fun_Obij__betw(_u20933, _u20934, _u20935, _u20938, _u20939) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20934, tc_HOL_Obool)), _u20937), _u20939) != c_Orderings_Obot__class_Obot(tc_fun(_u20934, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20933, _u20934, _u20935, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20933, tc_HOL_Obool)), _u20936), _u20938), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20934, tc_HOL_Obool)), _u20937), _u20939)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Lattices_Obounded__lattice-1, axiom, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Lattices_Obounded__lattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Lattices_Obounded__lattice-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20940) | class_Lattices_Obounded__lattice(tc_fun(_u20941, _u20940)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Complete__Lattice_Ocomplete__lattice-1, axiom, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20942) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20943, _u20942)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Lattices_Obounded__lattice__top-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20944) | class_Lattices_Obounded__lattice__top(tc_fun(_u20945, _u20944)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Lattices_Obounded__lattice__bot-1, axiom, ( ~class_Lattices_Obounded__lattice(_u20946) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20947, _u20946)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Lattices_Osemilattice__sup-1, axiom, ( ~class_Lattices_Olattice(_u20948) | class_Lattices_Osemilattice__sup(tc_fun(_u20949, _u20948)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Lattices_Osemilattice__inf-1, axiom, ( ~class_Lattices_Olattice(_u20950) | class_Lattices_Osemilattice__inf(tc_fun(_u20951, _u20950)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Lattices_Odistrib__lattice-1, axiom, ( ~class_Lattices_Odistrib__lattice(_u20952) | class_Lattices_Odistrib__lattice(tc_fun(_u20953, _u20952)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Lattices_Oboolean__algebra-1, axiom, ( ~class_Lattices_Oboolean__algebra(_u20954) | class_Lattices_Oboolean__algebra(tc_fun(_u20955, _u20954)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Orderings_Opreorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Orderings_Opreorder-1, axiom, ( ~class_Orderings_Opreorder(_u20956) | class_Orderings_Opreorder(tc_fun(_u20957, _u20956)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20958) | ~class_Finite__Set_Ofinite(_u20959) | class_Finite__Set_Ofinite(tc_fun(_u20958, _u20959)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Lattices_Olattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Lattices_Olattice-1, axiom, ( ~class_Lattices_Olattice(_u20960) | class_Lattices_Olattice(tc_fun(_u20961, _u20960)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Orderings_Oorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Orderings_Oorder-1, axiom, ( ~class_Orderings_Oorder(_u20962) | class_Orderings_Oorder(tc_fun(_u20963, _u20962)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Orderings_Otop ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Orderings_Otop-1, axiom, ( ~class_Orderings_Otop(_u20964) | class_Orderings_Otop(tc_fun(_u20965, _u20964)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Orderings_Oord ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Orderings_Oord-1, axiom, ( ~class_Orderings_Oord(_u20966) | class_Orderings_Oord(tc_fun(_u20967, _u20966)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Orderings_Obot ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Orderings_Obot-1, axiom, ( ~class_Orderings_Obot(_u20968) | class_Orderings_Obot(tc_fun(_u20969, _u20968)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Groups_Ouminus ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Groups_Ouminus-1, axiom, ( ~class_Groups_Ouminus(_u20970) | class_Groups_Ouminus(tc_fun(_u20971, _u20970)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Groups_Ominus ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Groups_Ominus-1, axiom, ( ~class_Groups_Ominus(_u20972) | class_Groups_Ominus(tc_fun(_u20973, _u20972)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_fun__Enum_Oenum ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_fun__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20974) | ~class_Enum_Oenum(_u20975) | class_Enum_Oenum(tc_fun(_u20974, _u20975)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Com__Ocom__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Com__Ocom__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ocom) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1__strict ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1__strict-1, axiom, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add__abs ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add__abs-1, axiom, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Olinordered__ab__group__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Olinordered__ab__group__add-1, axiom, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oring__1__no__zero__divisors ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oring__1__no__zero__divisors-1, axiom, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Olinordered__ring__strict ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Olinordered__ring__strict-1, axiom, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oring__no__zero__divisors ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oring__no__zero__divisors-1, axiom, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Olinordered__semiring__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Olinordered__semiring__1-1, axiom, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oordered__ab__group__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oordered__ab__group__add-1, axiom, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oordered__ring__abs ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oordered__ring__abs-1, axiom, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Olinordered__ring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Olinordered__ring-1, axiom, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Olinordered__idom ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Olinordered__idom-1, axiom, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Divides_Osemiring__div ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oab__group__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oab__group__add-1, axiom, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oordered__ring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oordered__ring-1, axiom, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Orderings_Opreorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Orderings_Olinorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Ocomm__ring__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Ocomm__ring__1-1, axiom, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Omonoid__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Lattices_Olattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Ogroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Ogroup__add-1, axiom, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Divides_Oring__div ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Divides_Oring__div-1, axiom, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Omult__zero ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Orderings_Oorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Int_Oring__char__0 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Int_Oring__char__0-1, axiom, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Int_Onumber__ring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Int_Onumber__ring-1, axiom, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Osemiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Orderings_Oord ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Ouminus ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Osgn__if ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Osgn__if-1, axiom, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oabs__if ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oabs__if-1, axiom, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oring__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oring__1-1, axiom, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Ominus ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Power_Opower ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Power_Opower-1, axiom, ( class_Power_Opower(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Ozero ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oring-1, axiom, ( class_Rings_Oring(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Rings_Oidom ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Rings_Oidom-1, axiom, ( class_Rings_Oidom(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Int_Onumber ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Int__Oint__Groups_Oone ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Int__Oint__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Int_Oint) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct-1, axiom, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le-1, axiom, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Divides_Osemiring__div ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Orderings_Owellorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Orderings_Owellorder-1, axiom, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Orderings_Opreorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Orderings_Olinorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Omonoid__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Lattices_Olattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Omult__zero ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Orderings_Oorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Rings_Osemiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Orderings_Oord ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Orderings_Obot ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Ominus ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Power_Opower ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Power_Opower-1, axiom, ( class_Power_Opower(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Ozero ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Int_Onumber ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Groups_Oone ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nat__Onat__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nat__Onat__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nat_Onat) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice-1, axiom, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__top ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__top-1, axiom, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Lattices_Obounded__lattice__bot ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Lattices_Obounded__lattice__bot-1, axiom, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Lattices_Osemilattice__sup ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Lattices_Osemilattice__sup-1, axiom, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Lattices_Osemilattice__inf ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Lattices_Osemilattice__inf-1, axiom, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Lattices_Odistrib__lattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Lattices_Odistrib__lattice-1, axiom, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Lattices_Oboolean__algebra ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Lattices_Oboolean__algebra-1, axiom, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Orderings_Opreorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Lattices_Olattice ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Lattices_Olattice-1, axiom, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Orderings_Oorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Orderings_Otop ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Orderings_Otop-1, axiom, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Orderings_Oord ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Orderings_Obot ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Orderings_Obot-1, axiom, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Groups_Ouminus ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Groups_Ouminus-1, axiom, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Groups_Ominus ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Enum_Oenum ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_HOL__Obool__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_HOL__Obool__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_HOL_Obool) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Com__Ostate__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Com__Ostate__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Com_Ostate) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_List__Olist__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_List__Olist__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20976) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20976)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_List__Olist__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_List__Olist__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_List_Olist(_u20977)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_sum__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_sum__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20978) | ~class_Finite__Set_Ofinite(_u20979) | class_Finite__Set_Ofinite(tc_sum(_u20978, _u20979)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_sum__Enum_Oenum ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_sum__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20980) | ~class_Enum_Oenum(_u20981) | class_Enum_Oenum(tc_sum(_u20980, _u20981)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_sum__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_sum__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_sum(_u20982, _u20983)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Option__Ooption__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Option__Ooption__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20984) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20984)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Option__Ooption__Enum_Oenum ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Option__Ooption__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20985) | class_Enum_Oenum(tc_Option_Ooption(_u20985)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Option__Ooption__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Option__Ooption__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Option_Ooption(_u20986)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Nitpick__Opair____box__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Nitpick__Opair____box__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20987, _u20988)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_prod__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_prod__Lazy__Sequence_Osmall__lazy-1, axiom, ( ~class_Lazy__Sequence_Osmall__lazy(_u20989) | ~class_Lazy__Sequence_Osmall__lazy(_u20990) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20989, _u20990)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_prod__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_prod__Finite__Set_Ofinite-1, axiom, ( ~class_Finite__Set_Ofinite(_u20991) | ~class_Finite__Set_Ofinite(_u20992) | class_Finite__Set_Ofinite(tc_prod(_u20991, _u20992)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_prod__Enum_Oenum ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_prod__Enum_Oenum-1, axiom, ( ~class_Enum_Oenum(_u20993) | ~class_Enum_Oenum(_u20994) | class_Enum_Oenum(tc_prod(_u20993, _u20994)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_prod__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_prod__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_prod(_u20995, _u20996)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy-1, axiom, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Product____Type__Ounit__Finite__Set_Ofinite ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Product____Type__Ounit__Finite__Set_Ofinite-1, axiom, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Product____Type__Ounit__Enum_Oenum ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Product____Type__Ounit__Enum_Oenum-1, axiom, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Product____Type__Ounit__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Product____Type__Ounit__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Evaluation__Oterm__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Evaluation__Oterm__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Hoare____Mirabelle__Otriple__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Hoare____Mirabelle__Otriple__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20997)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 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) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le ( axiom ) converted to clauses:
% 43.37/43.61 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) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict-1, axiom, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add-1, axiom, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict-1, axiom, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add-1, axiom, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add-1, axiom, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add-1, axiom, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring-1, axiom, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring-1, axiom, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add-1, axiom, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring-1, axiom, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom-1, axiom, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult-1, axiom, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult-1, axiom, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add-1, axiom, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring-1, axiom, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors-1, axiom, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add-1, axiom, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1-1, axiom, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add-1, axiom, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div-1, axiom, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring-1, axiom, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0-1, axiom, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one-1, axiom, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder-1, axiom, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder-1, axiom, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult-1, axiom, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add-1, axiom, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1-1, axiom, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0-1, axiom, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero-1, axiom, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oorder ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder-1, axiom, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Rings_Osemiring ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring-1, axiom, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Orderings_Oord ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Orderings_Oord-1, axiom, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ominus ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ominus-1, axiom, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Power_Opower ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Power_Opower-1, axiom, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Ozero ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Ozero-1, axiom, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Int_Onumber ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Int_Onumber-1, axiom, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Groups_Oone ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Groups_Oone-1, axiom, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Code____Numeral__Ocode____numeral__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Code____Numeral__Ocode____numeral__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 43.37/43.61
% 43.37/43.61 % Formula: arity_Lazy____Sequence__Olazy____sequence__Nat_Osize ( axiom ) converted to clauses:
% 43.37/43.61 cnf(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize-1, axiom, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20998)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__COMBI__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__COMBI__1-1, axiom, ( ( hAPP(c_COMBI(_u20999), _u21000) = _u21000) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__COMBK__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__COMBK__1-1, axiom, ( ( hAPP(hAPP(c_COMBK(_u21001, _u21002), _u21003), _u21004) = _u21003) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__COMBB__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__COMBB__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBB(_u21005, _u21006, _u21007), _u21008), _u21009), _u21010) = hAPP(_u21008, hAPP(_u21009, _u21010))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__COMBC__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__COMBC__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBC(_u21011, _u21012, _u21013), _u21014), _u21015), _u21016) = hAPP(hAPP(_u21014, _u21016), _u21015)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__COMBS__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__COMBS__1-1, axiom, ( ( hAPP(hAPP(hAPP(c_COMBS(_u21017, _u21018, _u21019), _u21020), _u21021), _u21022) = hAPP(hAPP(_u21020, _u21022), hAPP(_u21021, _u21022))) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fequal__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fequal__1-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fequal, _u21023), _u21024)) | ( _u21023 = _u21024) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fequal__2 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fequal__2-1, axiom, ( ( _u21025 != _u21026) | hBOOL(hAPP(hAPP(c_fequal, _u21025), _u21026)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fFalse__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fFalse__1-1, axiom, ( ~hBOOL(c_fFalse) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fTrue__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fTrue__1-1, axiom, ( hBOOL(c_fTrue) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fNot__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fNot__1-1, axiom, ( ~hBOOL(hAPP(c_fNot, _u21027)) | ~hBOOL(_u21027) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fNot__2 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fNot__2-1, axiom, ( hBOOL(_u21028) | hBOOL(hAPP(c_fNot, _u21028)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fconj__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fconj__1-1, axiom, ( ~hBOOL(_u21030) | ~hBOOL(_u21029) | hBOOL(hAPP(hAPP(c_fconj, _u21029), _u21030)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fconj__2 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fconj__2-1, axiom, ( ~hBOOL(hAPP(hAPP(c_fconj, _u21031), _u21032)) | hBOOL(_u21031) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fconj__3 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fconj__3-1, axiom, ( hBOOL(_u21034) | ~hBOOL(hAPP(hAPP(c_fconj, _u21033), _u21034)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fdisj__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fdisj__1-1, axiom, ( ~hBOOL(_u21035) | hBOOL(hAPP(hAPP(c_fdisj, _u21035), _u21036)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fdisj__2 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fdisj__2-1, axiom, ( ~hBOOL(_u21037) | hBOOL(hAPP(hAPP(c_fdisj, _u21038), _u21037)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fdisj__3 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fdisj__3-1, axiom, ( hBOOL(_u21040) | ~hBOOL(hAPP(hAPP(c_fdisj, _u21039), _u21040)) | hBOOL(_u21039) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fimplies__1 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fimplies__1-1, axiom, ( hBOOL(_u21041) | hBOOL(hAPP(hAPP(c_fimplies, _u21041), _u21042)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fimplies__2 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fimplies__2-1, axiom, ( ~hBOOL(_u21043) | hBOOL(hAPP(hAPP(c_fimplies, _u21044), _u21043)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: help_c__fimplies__3 ( axiom ) converted to clauses:
% 43.37/43.61 cnf(help_c__fimplies__3-1, axiom, ( hBOOL(_u21046) | ~hBOOL(hAPP(hAPP(c_fimplies, _u21045), _u21046)) | ~hBOOL(_u21045) )).
% 43.37/43.61
% 43.37/43.61 % Formula: conj_0 ( hypothesis ) converted to clauses:
% 43.37/43.61 cnf(conj_0-1, hypothesis, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), v_Q)), v_Procs)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: conj_1 ( hypothesis ) converted to clauses:
% 43.37/43.61 cnf(conj_1-1, hypothesis, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs))), _u21047)) | c_Hoare__Mirabelle_Ohoare__derivs(t_a, _u21047, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), v_Q)), v_Procs)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: conj_2 ( hypothesis ) converted to clauses:
% 43.37/43.61 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)) )).
% 43.37/43.61
% 43.37/43.61 % Formula: conj_3 ( conjecture ) (definitionally) converted to clauses:
% 43.37/43.61 cnf(conj_3-1, negated_conjecture, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)) )).
% 43.37/43.61
% 43.37/43.61 % Problem matrix:
% 43.37/43.61 cnf(matrix-0, plain, ( ( __eqx_0 = __eqx_0) )).
% 43.37/43.61 cnf(matrix-1, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 = __eqx_0) )).
% 43.37/43.61 cnf(matrix-2, plain, ( ( __eqx_0 != __eqx_1) | ( __eqx_1 != __eqx_2) | ( __eqx_0 = __eqx_2) )).
% 43.37/43.61 cnf(matrix-3, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( hAPP(__eqx_0, __eqx_1) = hAPP(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-4, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_Otriple_Otriple(__eqx_0) = c_Hoare__Mirabelle_Otriple_Otriple(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-5, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Hoare__Mirabelle_Otriple(__eqx_0) = tc_Hoare__Mirabelle_Otriple(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-6, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_fun(__eqx_0, __eqx_1) = tc_fun(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-7, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless__eq(__eqx_0) = c_Orderings_Oord__class_Oless__eq(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-8, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__sup__class_Osup(__eqx_0) = c_Lattices_Osemilattice__sup__class_Osup(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-9, 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)) )).
% 43.37/43.61 cnf(matrix-10, 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)) )).
% 43.37/43.61 cnf(matrix-11, 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)) )).
% 43.37/43.61 cnf(matrix-12, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Option_Ooption(__eqx_0) = tc_Option_Ooption(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-13, plain, ( ( __eqx_0 != __eqy_0) | ( c_Option_Othe(__eqx_0) = c_Option_Othe(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-14, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-15, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Hoare__Mirabelle_Otriple_Otriple__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Hoare__Mirabelle_Otriple_Otriple__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-16, plain, ( ( __eqx_0 != __eqy_0) | ( c_member(__eqx_0) = c_member(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-17, plain, ( ( __eqx_0 != __eqy_0) | ( c_COMBI(__eqx_0) = c_COMBI(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-18, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Predicate_OPowp(__eqx_0, __eqx_1) = c_Predicate_OPowp(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-19, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_Oinsert(__eqx_0) = c_Set_Oinsert(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-20, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Obot__class_Obot(__eqx_0) = c_Orderings_Obot__class_Obot(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-21, plain, ( ( __eqx_0 != __eqy_0) | ( c_Natural_Oevalc(__eqx_0) = c_Natural_Oevalc(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-22, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__all(__eqx_0) = c_Enum_Oenum__class_Oenum__all(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-23, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_COMBK(__eqx_0, __eqx_1) = c_COMBK(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-24, 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)) )).
% 43.37/43.61 cnf(matrix-25, plain, ( ( __eqx_0 != __eqy_0) | ( c_Hoare__Mirabelle_OMGT(__eqx_0) = c_Hoare__Mirabelle_OMGT(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-26, 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)) )).
% 43.37/43.61 cnf(matrix-27, 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)) )).
% 43.37/43.61 cnf(matrix-28, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OSemi(__eqx_0, __eqx_1) = c_Com_Ocom_OSemi(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-29, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_HOL_OThe(__eqx_0, __eqx_1) = c_HOL_OThe(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-30, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Com_Ocom_OWhile(__eqx_0, __eqx_1) = c_Com_Ocom_OWhile(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-31, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ozero__class_Ozero(__eqx_0) = c_Groups_Ozero__class_Ozero(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-32, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OPow(__eqx_0) = c_Set_OPow(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-33, 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)) )).
% 43.37/43.61 cnf(matrix-34, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ominus__class_Ominus(__eqx_0) = c_Groups_Ominus__class_Ominus(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-35, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Hoare__Mirabelle_Otriple_Otriple__size(__eqx_0, __eqx_1, __eqx_2) = c_Hoare__Mirabelle_Otriple_Otriple__size(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-36, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osize__class_Osize(__eqx_0) = c_Nat_Osize__class_Osize(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-37, 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)) )).
% 43.37/43.61 cnf(matrix-38, 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)) )).
% 43.37/43.61 cnf(matrix-39, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Fun_Ofun__upd(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Fun_Ofun__upd(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-40, 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)) )).
% 43.37/43.61 cnf(matrix-41, 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)) )).
% 43.37/43.61 cnf(matrix-42, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Oless(__eqx_0) = c_Orderings_Oord__class_Oless(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-43, 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)) )).
% 43.37/43.61 cnf(matrix-44, plain, ( ( __eqx_0 != __eqy_0) | ( c_Enum_Oenum__class_Oenum__ex(__eqx_0) = c_Enum_Oenum__class_Oenum__ex(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-45, 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)) )).
% 43.37/43.61 cnf(matrix-46, 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)) )).
% 43.37/43.61 cnf(matrix-47, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ofinite(__eqx_0) = c_Finite__Set_Ofinite(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-48, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lattices_Osemilattice__inf__class_Oinf(__eqx_0) = c_Lattices_Osemilattice__inf__class_Oinf(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-49, plain, ( ( __eqx_0 != __eqy_0) | ( c_If(__eqx_0) = c_If(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-50, 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)) )).
% 43.37/43.61 cnf(matrix-51, 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)) )).
% 43.37/43.61 cnf(matrix-52, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oplus__class_Oplus(__eqx_0) = c_Groups_Oplus__class_Oplus(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-53, 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)) )).
% 43.37/43.61 cnf(matrix-54, plain, ( ( __eqx_0 != __eqy_0) | ( c_Finite__Set_Ocard(__eqx_0) = c_Finite__Set_Ocard(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-55, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oone__class_Oone(__eqx_0) = c_Groups_Oone__class_Oone(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-56, 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)) )).
% 43.37/43.61 cnf(matrix-57, 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)) )).
% 43.37/43.61 cnf(matrix-58, 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)) )).
% 43.37/43.61 cnf(matrix-59, 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)) )).
% 43.37/43.61 cnf(matrix-60, 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)) )).
% 43.37/43.61 cnf(matrix-61, 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)) )).
% 43.37/43.61 cnf(matrix-62, 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)) )).
% 43.37/43.61 cnf(matrix-63, 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)) )).
% 43.37/43.61 cnf(matrix-64, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_OInts(__eqx_0) = c_Int_Oring__1__class_OInts(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-65, plain, ( ( __eqx_0 != __eqy_0) | ( c_Com_Ocom_Ocom__size(__eqx_0) = c_Com_Ocom_Ocom__size(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-66, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_sum(__eqx_0, __eqx_1) = tc_sum(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-67, 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)) )).
% 43.37/43.61 cnf(matrix-68, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Otimes__class_Otimes(__eqx_0) = c_Groups_Otimes__class_Otimes(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-69, 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)) )).
% 43.37/43.61 cnf(matrix-70, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OlessThan(__eqx_0) = c_SetInterval_Oord__class_OlessThan(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-71, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_Oof__nat(__eqx_0) = c_Nat_Osemiring__1__class_Oof__nat(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-72, 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)) )).
% 43.37/43.61 cnf(matrix-73, 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)) )).
% 43.37/43.61 cnf(matrix-74, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 43.37/43.61 cnf(matrix-75, 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)) )).
% 43.37/43.61 cnf(matrix-76, 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)) )).
% 43.37/43.61 cnf(matrix-77, 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)) )).
% 43.37/43.61 cnf(matrix-78, 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)) )).
% 43.37/43.61 cnf(matrix-79, 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)) )).
% 43.37/43.61 cnf(matrix-80, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatMost(__eqx_0) = c_SetInterval_Oord__class_OatMost(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-81, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Oabs__class_Oabs(__eqx_0) = c_Groups_Oabs__class_Oabs(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-82, 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)) )).
% 43.37/43.61 cnf(matrix-83, 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)) )).
% 43.37/43.61 cnf(matrix-84, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OatLeast(__eqx_0) = c_SetInterval_Oord__class_OatLeast(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-85, plain, ( ( __eqx_0 != __eqy_0) | ( c_SetInterval_Oord__class_OgreaterThan(__eqx_0) = c_SetInterval_Oord__class_OgreaterThan(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-86, 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)) )).
% 43.37/43.61 cnf(matrix-87, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OCollect(__eqx_0) = c_Set_OCollect(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-88, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OEx(__eqx_0) = c_HOL_OEx(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-89, 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)) )).
% 43.37/43.61 cnf(matrix-90, 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)) )).
% 43.37/43.61 cnf(matrix-91, 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)) )).
% 43.37/43.61 cnf(matrix-92, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Otop__class_Otop(__eqx_0) = c_Orderings_Otop__class_Otop(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-93, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( tc_prod(__eqx_0, __eqx_1) = tc_prod(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-94, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Set_Ovimage(__eqx_0, __eqx_1, __eqx_2) = c_Set_Ovimage(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-95, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omin(__eqx_0) = c_Orderings_Oord__class_Omin(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-96, 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)) )).
% 43.37/43.61 cnf(matrix-97, 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)) )).
% 43.37/43.61 cnf(matrix-98, 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)) )).
% 43.37/43.61 cnf(matrix-99, plain, ( ( __eqx_0 != __eqy_0) | ( c_Orderings_Oord__class_Omax(__eqx_0) = c_Orderings_Oord__class_Omax(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-100, 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 cnf(matrix-102, plain, ( ( __eqx_0 != __eqy_0) | ( c_Groups_Ouminus__class_Ouminus(__eqx_0) = c_Groups_Ouminus__class_Ouminus(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-103, 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)) )).
% 43.37/43.61 cnf(matrix-104, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OCond(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OCond(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-105, plain, ( ( __eqx_0 != __eqy_0) | ( c_Power_Opower__class_Opower(__eqx_0) = c_Power_Opower__class_Opower(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-106, plain, ( ( __eqx_0 != __eqy_0) | ( c_Rings_Oinverse__class_Odivide(__eqx_0) = c_Rings_Oinverse__class_Odivide(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-107, 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)) )).
% 43.37/43.61 cnf(matrix-108, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Odiv__class_Odiv(__eqx_0) = c_Divides_Odiv__class_Odiv(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-109, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3div(__eqx_0, __eqx_1) = c_SMT_Oz3div(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-110, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oring__1__class_Oof__int(__eqx_0) = c_Int_Oring__1__class_Oof__int(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-111, 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)) )).
% 43.37/43.61 cnf(matrix-112, 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)) )).
% 43.37/43.61 cnf(matrix-113, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_SMT_Oz3mod(__eqx_0, __eqx_1) = c_SMT_Oz3mod(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-114, 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)) )).
% 43.37/43.61 cnf(matrix-115, plain, ( ( __eqx_0 != __eqy_0) | ( c_Equiv__Relations_Oquotient(__eqx_0) = c_Equiv__Relations_Oquotient(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-116, 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)) )).
% 43.37/43.61 cnf(matrix-117, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Onumber__class_Onumber__of(__eqx_0) = c_Int_Onumber__class_Onumber__of(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-118, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit1(__eqx_0) = c_Int_OBit1(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-119, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Osucc(__eqx_0) = c_Int_Osucc(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-120, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Opred(__eqx_0) = c_Int_Opred(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-121, 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)) )).
% 43.37/43.61 cnf(matrix-122, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_OBit0(__eqx_0) = c_Int_OBit0(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-123, 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)) )).
% 43.37/43.61 cnf(matrix-124, 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)) )).
% 43.37/43.61 cnf(matrix-125, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than2(__eqx_0) = c_Int_Oint__ge__less__than2(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-126, plain, ( ( __eqx_0 != __eqy_0) | ( c_Int_Oint__ge__less__than(__eqx_0) = c_Int_Oint__ge__less__than(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-127, 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)) )).
% 43.37/43.61 cnf(matrix-128, 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)) )).
% 43.37/43.61 cnf(matrix-129, 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)) )).
% 43.37/43.61 cnf(matrix-130, 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)) )).
% 43.37/43.61 cnf(matrix-131, 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)) )).
% 43.37/43.61 cnf(matrix-132, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Osemiring__1__class_ONats(__eqx_0) = c_Nat_Osemiring__1__class_ONats(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-133, 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)) )).
% 43.37/43.61 cnf(matrix-134, plain, ( ( __eqx_0 != __eqy_0) | ( c_Divides_Oadjust(__eqx_0) = c_Divides_Oadjust(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-135, 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)) )).
% 43.37/43.61 cnf(matrix-136, 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)) )).
% 43.37/43.61 cnf(matrix-137, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OnegDivAlg(__eqx_0, __eqx_1) = c_Divides_OnegDivAlg(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-138, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_OposDivAlg(__eqx_0, __eqx_1) = c_Divides_OposDivAlg(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-139, 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)) )).
% 43.37/43.61 cnf(matrix-140, 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)) )).
% 43.37/43.61 cnf(matrix-141, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Divides_Opdivmod(__eqx_0, __eqx_1) = c_Divides_Opdivmod(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-142, 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)) )).
% 43.37/43.61 cnf(matrix-143, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Wellfounded_Oaccp(__eqx_0, __eqx_1) = c_Wellfounded_Oaccp(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-144, 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)) )).
% 43.37/43.61 cnf(matrix-145, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Onat_Onat__size(__eqx_0) = c_Nat_Onat_Onat__size(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-146, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Omeasure(__eqx_0) = c_Wellfounded_Omeasure(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-147, 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)) )).
% 43.37/43.61 cnf(matrix-148, 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)) )).
% 43.37/43.61 cnf(matrix-149, 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)) )).
% 43.37/43.61 cnf(matrix-150, 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)) )).
% 43.37/43.61 cnf(matrix-151, plain, ( ( __eqx_0 != __eqy_0) | ( c_Wellfounded_Ofinite__psubset(__eqx_0) = c_Wellfounded_Ofinite__psubset(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-152, 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)) )).
% 43.37/43.61 cnf(matrix-153, plain, ( ( __eqx_0 != __eqy_0) | ( c_Code__Numeral_OSuc__code__numeral(__eqx_0) = c_Code__Numeral_OSuc__code__numeral(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-154, 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)) )).
% 43.37/43.61 cnf(matrix-155, 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)) )).
% 43.37/43.61 cnf(matrix-156, 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)) )).
% 43.37/43.61 cnf(matrix-157, 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)) )).
% 43.37/43.61 cnf(matrix-158, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OField(__eqx_0) = c_Relation_OField(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-159, 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)) )).
% 43.37/43.61 cnf(matrix-160, 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)) )).
% 43.37/43.61 cnf(matrix-161, 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)) )).
% 43.37/43.61 cnf(matrix-162, 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 cnf(matrix-166, plain, ( ( __eqx_0 != __eqy_0) | ( tc_List_Olist(__eqx_0) = tc_List_Olist(__eqy_0)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 cnf(matrix-170, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ozero__frac(__eqx_0) = c_Nitpick_Ozero__frac(__eqy_0)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 cnf(matrix-173, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Oone__frac(__eqx_0) = c_Nitpick_Oone__frac(__eqy_0)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 cnf(matrix-176, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Ofrac(__eqx_0) = c_Nitpick_Ofrac(__eqy_0)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 cnf(matrix-180, plain, ( ( __eqx_0 != __eqy_0) | ( c_Fun_Oid(__eqx_0) = c_Fun_Oid(__eqy_0)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 cnf(matrix-182, 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)) )).
% 43.37/43.61 cnf(matrix-183, 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)) )).
% 43.37/43.61 cnf(matrix-184, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Hoare__Mirabelle_Opeek__and(__eqx_0, __eqx_1, __eqx_2) = c_Hoare__Mirabelle_Opeek__and(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-185, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( c_Com_Ocom_OLocal(__eqx_0, __eqx_1, __eqx_2) = c_Com_Ocom_OLocal(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-186, 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)) )).
% 43.37/43.61 cnf(matrix-187, 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)) )).
% 43.37/43.61 cnf(matrix-188, 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)) )).
% 43.37/43.61 cnf(matrix-189, 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)) )).
% 43.37/43.61 cnf(matrix-190, plain, ( ( __eqx_0 != __eqy_0) | ( c_Relation_OId(__eqx_0) = c_Relation_OId(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-191, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Olog(__eqx_0, __eqx_1) = c_Random_Olog(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-192, 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)) )).
% 43.37/43.61 cnf(matrix-193, 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)) )).
% 43.37/43.61 cnf(matrix-194, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random_Orange(__eqx_0) = c_Random_Orange(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-195, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Relation_Oconverse(__eqx_0, __eqx_1) = c_Relation_Oconverse(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-196, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Nat_Ocompow(__eqx_0, __eqx_1) = c_Nat_Ocompow(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-197, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nat_Ofunpow(__eqx_0) = c_Nat_Ofunpow(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-198, 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)) )).
% 43.37/43.61 cnf(matrix-199, 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)) )).
% 43.37/43.61 cnf(matrix-200, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBall(__eqx_0) = c_Set_OBall(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-201, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_OAll(__eqx_0) = c_HOL_OAll(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-202, 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)) )).
% 43.37/43.61 cnf(matrix-203, 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)) )).
% 43.37/43.61 cnf(matrix-204, 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)) )).
% 43.37/43.61 cnf(matrix-205, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Odenom(__eqx_0) = c_Nitpick_Odenom(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-206, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_Onum(__eqx_0) = c_Nitpick_Onum(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-207, 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)) )).
% 43.37/43.61 cnf(matrix-208, 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)) )).
% 43.37/43.61 cnf(matrix-209, 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)) )).
% 43.37/43.61 cnf(matrix-210, 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)) )).
% 43.37/43.61 cnf(matrix-211, plain, ( ( __eqx_0 != __eqy_0) | ( c_Nitpick_ORep__Frac(__eqx_0) = c_Nitpick_ORep__Frac(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-212, 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)) )).
% 43.37/43.61 cnf(matrix-213, plain, ( ( __eqx_0 != __eqy_0) | ( c_HOL_Obool_Obool__size(__eqx_0) = c_HOL_Obool_Obool__size(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-214, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Enum_Osublists(__eqx_0, __eqx_1) = c_Enum_Osublists(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-215, 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)) )).
% 43.37/43.61 cnf(matrix-216, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_OCons(__eqx_0) = c_List_Olist_OCons(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-217, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olexord(__eqx_0, __eqx_1) = c_List_Olexord(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-218, 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)) )).
% 43.37/43.61 cnf(matrix-219, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Opick(__eqx_0, __eqx_1) = c_Random_Opick(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-220, 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)) )).
% 43.37/43.61 cnf(matrix-221, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel1(__eqx_0, __eqx_1) = c_List_Olistrel1(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-222, 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)) )).
% 43.37/43.61 cnf(matrix-223, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistrel(__eqx_0, __eqx_1) = c_List_Olistrel(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-224, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olists(__eqx_0, __eqx_1) = c_List_Olists(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-225, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Onth(__eqx_0) = c_List_Onth(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-226, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otake(__eqx_0) = c_List_Otake(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-227, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oset(__eqx_0) = c_List_Oset(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-228, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ozip(__eqx_0, __eqx_1) = c_List_Ozip(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-229, 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)) )).
% 43.37/43.61 cnf(matrix-230, 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)) )).
% 43.37/43.61 cnf(matrix-231, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupto(__eqx_0, __eqx_1) = c_List_Oupto(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-232, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omonoid__add__class_Olistsum(__eqx_0) = c_List_Omonoid__add__class_Olistsum(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-233, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Obutlast(__eqx_0, __eqx_1) = c_List_Obutlast(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-234, 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)) )).
% 43.37/43.61 cnf(matrix-235, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odistinct(__eqx_0) = c_List_Odistinct(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-236, 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)) )).
% 43.37/43.61 cnf(matrix-237, 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)) )).
% 43.37/43.61 cnf(matrix-238, 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)) )).
% 43.37/43.61 cnf(matrix-239, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Olist_ONil(__eqx_0) = c_List_Olist_ONil(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-240, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Random_Oselect(__eqx_0, __eqx_1) = c_Random_Oselect(__eqy_0, __eqy_1)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 cnf(matrix-243, 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)) )).
% 43.37/43.61 cnf(matrix-244, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_Option_Ooption_Ooption__case(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Option_Ooption_Ooption__case(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-245, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oappend(__eqx_0) = c_List_Oappend(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-246, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orotate1(__eqx_0) = c_List_Orotate1(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-247, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Odrop(__eqx_0) = c_List_Odrop(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-248, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Ohd(__eqx_0) = c_List_Ohd(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-249, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otl(__eqx_0) = c_List_Otl(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-250, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Orotate(__eqx_0, __eqx_1) = c_List_Orotate(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-251, 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)) )).
% 43.37/43.61 cnf(matrix-252, 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)) )).
% 43.37/43.61 cnf(matrix-253, 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)) )).
% 43.37/43.61 cnf(matrix-254, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olast(__eqx_0, __eqx_1) = c_List_Olast(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-255, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omap(__eqx_0, __eqx_1) = c_List_Omap(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-256, 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)) )).
% 43.37/43.61 cnf(matrix-257, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__not__seq(__eqx_0) = c_New__DSequence_Opos__not__seq(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-258, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohb__not__seq(__eqx_0) = c_Lazy__Sequence_Ohb__not__seq(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-259, 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)) )).
% 43.37/43.61 cnf(matrix-260, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Olistsp(__eqx_0, __eqx_1) = c_List_Olistsp(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-261, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oremdups(__eqx_0, __eqx_1) = c_List_Oremdups(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-262, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oconcat(__eqx_0, __eqx_1) = c_List_Oconcat(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-263, 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)) )).
% 43.37/43.61 cnf(matrix-264, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Otranspose(__eqx_0, __eqx_1) = c_List_Otranspose(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-265, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Ofilter(__eqx_0, __eqx_1) = c_List_Ofilter(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-266, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Otranspose__rel(__eqx_0) = c_List_Otranspose__rel(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-267, 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)) )).
% 43.37/43.61 cnf(matrix-268, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Oupt(__eqx_0, __eqx_1) = c_List_Oupt(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-269, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Orev(__eqx_0) = c_List_Orev(__eqy_0)) )).
% 43.37/43.61 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)) )).
% 43.37/43.61 cnf(matrix-271, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oreturn__list(__eqx_0) = c_List_Oreturn__list(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-272, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Oembed__list(__eqx_0) = c_List_Oembed__list(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-273, 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)) )).
% 43.37/43.61 cnf(matrix-274, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_OremoveAll(__eqx_0, __eqx_1) = c_List_OremoveAll(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-275, 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)) )).
% 43.37/43.61 cnf(matrix-276, 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)) )).
% 43.37/43.61 cnf(matrix-277, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_List_Omeasures(__eqx_0, __eqx_1) = c_List_Omeasures(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-278, 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)) )).
% 43.37/43.61 cnf(matrix-279, 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)) )).
% 43.37/43.61 cnf(matrix-280, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Ohit__bound(__eqx_0) = c_Lazy__Sequence_Ohit__bound(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-281, plain, ( ( __eqx_0 != __eqy_0) | ( tc_Lazy__Sequence_Olazy__sequence(__eqx_0) = tc_Lazy__Sequence_Olazy__sequence(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-282, 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)) )).
% 43.37/43.61 cnf(matrix-283, plain, ( ( __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)) )).
% 43.37/43.61 cnf(matrix-284, 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)) )).
% 43.37/43.61 cnf(matrix-285, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Oneg__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Oneg__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-286, 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)) )).
% 43.37/43.61 cnf(matrix-287, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oempty(__eqx_0) = c_Lazy__Sequence_Oempty(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-288, 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)) )).
% 43.37/43.61 cnf(matrix-289, plain, ( ( __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)) )).
% 43.37/43.61 cnf(matrix-290, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__DSequence_Opos__empty(__eqx_0) = c_New__DSequence_Opos__empty(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-291, 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)) )).
% 43.37/43.61 cnf(matrix-292, 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)) )).
% 43.37/43.61 cnf(matrix-293, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_New__Random__Sequence_Opos__bind(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__bind(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-294, 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)) )).
% 43.37/43.61 cnf(matrix-295, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Oneg__single(__eqx_0) = c_New__Random__Sequence_Oneg__single(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-296, 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)) )).
% 43.37/43.61 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__map(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_New__Random__Sequence_Opos__map(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-298, plain, ( ( __eqx_0 != __eqy_0) | ( c_New__Random__Sequence_Opos__single(__eqx_0) = c_New__Random__Sequence_Opos__single(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-299, 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)) )).
% 43.37/43.61 cnf(matrix-300, 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)) )).
% 43.37/43.61 cnf(matrix-301, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Osingle(__eqx_0) = c_Lazy__Sequence_Osingle(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-302, 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)) )).
% 43.37/43.61 cnf(matrix-303, 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)) )).
% 43.37/43.61 cnf(matrix-304, 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)) )).
% 43.37/43.61 cnf(matrix-305, 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)) )).
% 43.37/43.61 cnf(matrix-306, 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)) )).
% 43.37/43.61 cnf(matrix-307, 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)) )).
% 43.37/43.61 cnf(matrix-308, 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)) )).
% 43.37/43.61 cnf(matrix-309, plain, ( ( __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)) )).
% 43.37/43.61 cnf(matrix-310, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Lazy__Sequence_Osmall__lazy_H(__eqx_0, __eqx_1) = c_Lazy__Sequence_Osmall__lazy_H(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-311, 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)) )).
% 43.37/43.61 cnf(matrix-312, 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)) )).
% 43.37/43.61 cnf(matrix-313, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyield(__eqx_0) = c_Lazy__Sequence_Oyield(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-314, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 43.37/43.61 cnf(matrix-315, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Oyieldn(__eqx_0) = c_Lazy__Sequence_Oyieldn(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-316, plain, ( ( __eqx_0 != __eqy_0) | ( c_List_Omember(__eqx_0) = c_List_Omember(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-317, 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)) )).
% 43.37/43.61 cnf(matrix-318, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( c_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)) )).
% 43.37/43.61 cnf(matrix-319, 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)) )).
% 43.37/43.61 cnf(matrix-320, 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)) )).
% 43.37/43.61 cnf(matrix-321, 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)) )).
% 43.37/43.61 cnf(matrix-322, 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)) )).
% 43.37/43.61 cnf(matrix-323, plain, ( ( __eqx_0 != __eqy_0) | ( c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqx_0) = c_Lazy__Sequence_Olazy__sequence_OEmpty(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-324, 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)) )).
% 43.37/43.61 cnf(matrix-325, 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)) )).
% 43.37/43.61 cnf(matrix-326, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Oempty(__eqx_0) = c_DSequence_Oempty(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-327, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Ounion(__eqx_0) = c_DSequence_Ounion(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-328, plain, ( ( __eqx_0 != __eqy_0) | ( c_DSequence_Osingle(__eqx_0) = c_DSequence_Osingle(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-329, 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)) )).
% 43.37/43.61 cnf(matrix-330, plain, ( ( __eqx_0 != __eqy_0) | ( c_Random__Sequence_Osingle(__eqx_0) = c_Random__Sequence_Osingle(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-331, 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)) )).
% 43.37/43.61 cnf(matrix-332, 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)) )).
% 43.37/43.61 cnf(matrix-333, plain, ( ( __eqx_0 != __eqy_0) | ( c_Set_OBex(__eqx_0) = c_Set_OBex(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-334, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( c_Partial__Function_Ofun__lub(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = c_Partial__Function_Ofun__lub(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.61 cnf(matrix-335, 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)) )).
% 43.37/43.61 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_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-337, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( c_Quickcheck_Obeyond(__eqx_0, __eqx_1) = c_Quickcheck_Obeyond(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-338, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( c_Product__Type_Ocurry(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = c_Product__Type_Ocurry(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-339, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem1(__eqx_0, __eqx_1) = skolem1(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-340, 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)) )).
% 43.37/43.61 cnf(matrix-341, 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)) )).
% 43.37/43.61 cnf(matrix-342, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem4(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem4(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-343, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem5(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem5(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-344, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem6(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem6(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-345, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem7(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem7(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-346, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem8(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem8(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-347, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem9(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem9(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-348, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem10(__eqx_0, __eqx_1) = skolem10(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-349, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem11(__eqx_0, __eqx_1) = skolem11(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-350, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem12(__eqx_0, __eqx_1) = skolem12(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-351, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem13(__eqx_0, __eqx_1) = skolem13(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-352, 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)) )).
% 43.37/43.61 cnf(matrix-353, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem15(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem15(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-354, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem16(__eqx_0, __eqx_1) = skolem16(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-355, 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)) )).
% 43.37/43.61 cnf(matrix-356, 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)) )).
% 43.37/43.61 cnf(matrix-357, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem19(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem19(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.61 cnf(matrix-358, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem20(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem20(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.61 cnf(matrix-359, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem21(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem21(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.61 cnf(matrix-360, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem22(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem22(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.61 cnf(matrix-361, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem23(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem23(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-362, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem24(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem24(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-363, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem25(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem25(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-364, 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)) )).
% 43.37/43.61 cnf(matrix-365, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem27(__eqx_0, __eqx_1, __eqx_2) = skolem27(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-366, 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)) )).
% 43.37/43.61 cnf(matrix-367, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem29(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem29(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-368, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem30(__eqx_0, __eqx_1, __eqx_2) = skolem30(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-369, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem31(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem31(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-370, 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)) )).
% 43.37/43.61 cnf(matrix-371, 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)) )).
% 43.37/43.61 cnf(matrix-372, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem34(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem34(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-373, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem35(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem35(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.61 cnf(matrix-374, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( skolem36(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem36(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.61 cnf(matrix-375, 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)) )).
% 43.37/43.61 cnf(matrix-376, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem38(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem38(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-377, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem39(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem39(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-378, 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)) )).
% 43.37/43.61 cnf(matrix-379, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem41(__eqx_0, __eqx_1) = skolem41(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-380, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem42(__eqx_0, __eqx_1) = skolem42(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-381, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem43(__eqx_0, __eqx_1) = skolem43(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-382, plain, ( ( __eqx_0 != __eqy_0) | ( skolem44(__eqx_0) = skolem44(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-383, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem45(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem45(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-384, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem46(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem46(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-385, plain, ( ( __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) | ( skolem47(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem47(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.37/43.61 cnf(matrix-386, 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)) )).
% 43.37/43.61 cnf(matrix-387, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem49(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem49(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-388, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem50(__eqx_0, __eqx_1, __eqx_2) = skolem50(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-389, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem51(__eqx_0, __eqx_1, __eqx_2) = skolem51(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-390, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem52(__eqx_0, __eqx_1, __eqx_2) = skolem52(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-391, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem53(__eqx_0, __eqx_1, __eqx_2) = skolem53(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-392, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem54(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem54(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-393, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem55(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem55(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-394, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem56(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem56(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-395, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem57(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem57(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-396, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem58(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem58(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-397, 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)) )).
% 43.37/43.61 cnf(matrix-398, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem60(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem60(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.61 cnf(matrix-399, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem61(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem61(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-400, 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)) )).
% 43.37/43.61 cnf(matrix-401, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem63(__eqx_0, __eqx_1, __eqx_2) = skolem63(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-402, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem64(__eqx_0, __eqx_1, __eqx_2) = skolem64(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-403, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem65(__eqx_0, __eqx_1) = skolem65(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-404, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem66(__eqx_0, __eqx_1) = skolem66(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-405, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem67(__eqx_0, __eqx_1) = skolem67(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-406, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem68(__eqx_0, __eqx_1) = skolem68(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-407, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem69(__eqx_0, __eqx_1, __eqx_2) = skolem69(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-408, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem70(__eqx_0, __eqx_1, __eqx_2) = skolem70(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-409, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem71(__eqx_0, __eqx_1, __eqx_2) = skolem71(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-410, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem72(__eqx_0, __eqx_1, __eqx_2) = skolem72(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-411, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem73(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem73(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-412, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem74(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem74(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-413, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem75(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem75(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-414, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem76(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem76(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-415, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem77(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem77(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-416, plain, ( ( __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) | ( skolem78(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem78(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.61 cnf(matrix-417, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem79(__eqx_0, __eqx_1) = skolem79(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-418, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem80(__eqx_0, __eqx_1) = skolem80(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-419, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem81(__eqx_0, __eqx_1, __eqx_2) = skolem81(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-420, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem82(__eqx_0, __eqx_1, __eqx_2) = skolem82(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-421, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem83(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem83(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-422, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem84(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem84(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-423, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem85(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem85(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-424, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem86(__eqx_0, __eqx_1, __eqx_2) = skolem86(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-425, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem87(__eqx_0, __eqx_1, __eqx_2) = skolem87(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-426, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem88(__eqx_0, __eqx_1, __eqx_2) = skolem88(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-427, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem89(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem89(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-428, plain, ( ( __eqx_0 != __eqy_0) | ( skolem90(__eqx_0) = skolem90(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-429, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem91(__eqx_0, __eqx_1) = skolem91(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-430, plain, ( ( __eqx_0 != __eqy_0) | ( skolem92(__eqx_0) = skolem92(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-431, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem93(__eqx_0, __eqx_1) = skolem93(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-432, 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)) )).
% 43.37/43.61 cnf(matrix-433, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem95(__eqx_0, __eqx_1) = skolem95(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-434, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem96(__eqx_0, __eqx_1) = skolem96(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-435, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem97(__eqx_0, __eqx_1) = skolem97(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-436, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem98(__eqx_0, __eqx_1) = skolem98(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-437, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem99(__eqx_0, __eqx_1) = skolem99(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-438, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem100(__eqx_0, __eqx_1) = skolem100(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-439, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem101(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem101(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-440, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem102(__eqx_0, __eqx_1) = skolem102(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-441, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem103(__eqx_0, __eqx_1) = skolem103(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-442, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem104(__eqx_0, __eqx_1) = skolem104(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-443, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem105(__eqx_0, __eqx_1) = skolem105(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-444, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem106(__eqx_0, __eqx_1) = skolem106(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-445, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem107(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem107(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-446, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem108(__eqx_0, __eqx_1) = skolem108(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-447, plain, ( ( __eqx_0 != __eqy_0) | ( skolem109(__eqx_0) = skolem109(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-448, plain, ( ( __eqx_0 != __eqy_0) | ( skolem110(__eqx_0) = skolem110(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-449, plain, ( ( __eqx_0 != __eqy_0) | ( skolem111(__eqx_0) = skolem111(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-450, plain, ( ( __eqx_0 != __eqy_0) | ( skolem112(__eqx_0) = skolem112(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-451, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem113(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem113(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-452, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem114(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem114(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-453, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem115(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem115(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-454, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem116(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem116(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-455, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem117(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem117(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-456, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem118(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem118(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-457, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem119(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem119(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-458, 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)) )).
% 43.37/43.61 cnf(matrix-459, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem121(__eqx_0, __eqx_1) = skolem121(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-460, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem122(__eqx_0, __eqx_1) = skolem122(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-461, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem123(__eqx_0, __eqx_1) = skolem123(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-462, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem124(__eqx_0, __eqx_1) = skolem124(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-463, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem125(__eqx_0, __eqx_1) = skolem125(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-464, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem126(__eqx_0, __eqx_1) = skolem126(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-465, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem127(__eqx_0, __eqx_1, __eqx_2) = skolem127(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-466, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem128(__eqx_0, __eqx_1, __eqx_2) = skolem128(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-467, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem129(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem129(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-468, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem130(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem130(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-469, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem131(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem131(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-470, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem132(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem132(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-471, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem133(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem133(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-472, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem134(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem134(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-473, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem135(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem135(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-474, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem136(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem136(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-475, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem137(__eqx_0, __eqx_1, __eqx_2) = skolem137(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-476, 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)) )).
% 43.37/43.61 cnf(matrix-477, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem139(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem139(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-478, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem140(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem140(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-479, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem141(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem141(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-480, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem142(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem142(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-481, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem143(__eqx_0, __eqx_1, __eqx_2) = skolem143(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-482, 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)) )).
% 43.37/43.61 cnf(matrix-483, 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)) )).
% 43.37/43.61 cnf(matrix-484, plain, ( ( __eqx_0 != __eqy_0) | ( skolem146(__eqx_0) = skolem146(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-485, plain, ( ( __eqx_0 != __eqy_0) | ( skolem147(__eqx_0) = skolem147(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-486, plain, ( ( __eqx_0 != __eqy_0) | ( skolem148(__eqx_0) = skolem148(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-487, plain, ( ( __eqx_0 != __eqy_0) | ( skolem149(__eqx_0) = skolem149(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-488, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem150(__eqx_0, __eqx_1) = skolem150(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-489, plain, ( ( __eqx_0 != __eqy_0) | ( skolem151(__eqx_0) = skolem151(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-490, plain, ( ( __eqx_0 != __eqy_0) | ( skolem152(__eqx_0) = skolem152(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-491, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem153(__eqx_0, __eqx_1, __eqx_2) = skolem153(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-492, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem154(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem154(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-493, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem155(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem155(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-494, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem156(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem156(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-495, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem157(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem157(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-496, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem158(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem158(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-497, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem159(__eqx_0, __eqx_1, __eqx_2) = skolem159(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-498, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem160(__eqx_0, __eqx_1, __eqx_2) = skolem160(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-499, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem161(__eqx_0, __eqx_1, __eqx_2) = skolem161(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-500, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem162(__eqx_0, __eqx_1, __eqx_2) = skolem162(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-501, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem163(__eqx_0, __eqx_1, __eqx_2) = skolem163(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-502, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem164(__eqx_0, __eqx_1) = skolem164(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-503, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem165(__eqx_0, __eqx_1) = skolem165(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-504, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem166(__eqx_0, __eqx_1, __eqx_2) = skolem166(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-505, 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)) )).
% 43.37/43.61 cnf(matrix-506, plain, ( ( __eqx_0 != __eqy_0) | ( skolem168(__eqx_0) = skolem168(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-507, plain, ( ( __eqx_0 != __eqy_0) | ( skolem169(__eqx_0) = skolem169(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-508, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem170(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem170(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.61 cnf(matrix-509, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem171(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem171(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-510, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem172(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem172(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-511, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem173(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem173(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-512, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem174(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem174(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.61 cnf(matrix-513, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem175(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem175(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-514, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem176(__eqx_0, __eqx_1) = skolem176(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-515, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem177(__eqx_0, __eqx_1) = skolem177(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-516, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem178(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem178(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-517, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem179(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem179(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-518, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem180(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem180(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-519, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem181(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem181(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-520, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem182(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem182(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-521, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem183(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem183(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-522, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem184(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem184(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-523, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem185(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem185(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-524, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem186(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem186(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-525, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem187(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem187(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-526, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem188(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem188(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-527, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem189(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem189(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-528, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem190(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem190(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-529, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem191(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem191(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-530, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem192(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem192(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-531, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem193(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem193(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.61 cnf(matrix-532, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem194(__eqx_0, __eqx_1, __eqx_2) = skolem194(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-533, 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)) )).
% 43.37/43.61 cnf(matrix-534, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem196(__eqx_0, __eqx_1, __eqx_2) = skolem196(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-535, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem197(__eqx_0, __eqx_1, __eqx_2) = skolem197(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-536, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem198(__eqx_0, __eqx_1, __eqx_2) = skolem198(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-537, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem199(__eqx_0, __eqx_1) = skolem199(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-538, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem200(__eqx_0, __eqx_1) = skolem200(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-539, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem201(__eqx_0, __eqx_1, __eqx_2) = skolem201(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-540, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem202(__eqx_0, __eqx_1, __eqx_2) = skolem202(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-541, plain, ( ( __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) | ( skolem203(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem203(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.61 cnf(matrix-542, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem204(__eqx_0, __eqx_1) = skolem204(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-543, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem205(__eqx_0, __eqx_1) = skolem205(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-544, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem206(__eqx_0, __eqx_1, __eqx_2) = skolem206(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-545, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem207(__eqx_0, __eqx_1, __eqx_2) = skolem207(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-546, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem208(__eqx_0, __eqx_1) = skolem208(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-547, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem209(__eqx_0, __eqx_1) = skolem209(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-548, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem210(__eqx_0, __eqx_1) = skolem210(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-549, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem211(__eqx_0, __eqx_1) = skolem211(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-550, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem212(__eqx_0, __eqx_1, __eqx_2) = skolem212(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-551, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem213(__eqx_0, __eqx_1, __eqx_2) = skolem213(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-552, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem214(__eqx_0, __eqx_1, __eqx_2) = skolem214(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-553, 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)) )).
% 43.37/43.61 cnf(matrix-554, 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)) )).
% 43.37/43.61 cnf(matrix-555, 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)) )).
% 43.37/43.61 cnf(matrix-556, 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)) )).
% 43.37/43.61 cnf(matrix-557, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem219(__eqx_0, __eqx_1, __eqx_2) = skolem219(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-558, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem220(__eqx_0, __eqx_1, __eqx_2) = skolem220(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-559, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem221(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem221(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-560, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem222(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem222(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-561, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem223(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem223(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-562, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem224(__eqx_0, __eqx_1, __eqx_2) = skolem224(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-563, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem225(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem225(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-564, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem226(__eqx_0, __eqx_1, __eqx_2) = skolem226(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-565, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem227(__eqx_0, __eqx_1, __eqx_2) = skolem227(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-566, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem228(__eqx_0, __eqx_1, __eqx_2) = skolem228(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-567, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem229(__eqx_0, __eqx_1, __eqx_2) = skolem229(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-568, plain, ( ( __eqx_0 != __eqy_0) | ( skolem230(__eqx_0) = skolem230(__eqy_0)) )).
% 43.37/43.61 cnf(matrix-569, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem231(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem231(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-570, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem232(__eqx_0, __eqx_1, __eqx_2) = skolem232(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-571, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem233(__eqx_0, __eqx_1, __eqx_2) = skolem233(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-572, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem234(__eqx_0, __eqx_1, __eqx_2) = skolem234(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-573, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem235(__eqx_0, __eqx_1, __eqx_2) = skolem235(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-574, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem236(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem236(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.61 cnf(matrix-575, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem237(__eqx_0, __eqx_1, __eqx_2) = skolem237(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-576, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem238(__eqx_0, __eqx_1, __eqx_2) = skolem238(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-577, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem239(__eqx_0, __eqx_1) = skolem239(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-578, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem240(__eqx_0, __eqx_1, __eqx_2) = skolem240(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-579, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem241(__eqx_0, __eqx_1, __eqx_2) = skolem241(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-580, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem242(__eqx_0, __eqx_1, __eqx_2) = skolem242(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-581, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem243(__eqx_0, __eqx_1, __eqx_2) = skolem243(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-582, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem244(__eqx_0, __eqx_1, __eqx_2) = skolem244(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-583, 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)) )).
% 43.37/43.61 cnf(matrix-584, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem246(__eqx_0, __eqx_1) = skolem246(__eqy_0, __eqy_1)) )).
% 43.37/43.61 cnf(matrix-585, 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)) )).
% 43.37/43.61 cnf(matrix-586, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem248(__eqx_0, __eqx_1, __eqx_2) = skolem248(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.61 cnf(matrix-587, 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)) )).
% 43.37/43.61 cnf(matrix-588, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem250(__eqx_0, __eqx_1) = skolem250(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-589, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem251(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem251(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-590, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem252(__eqx_0, __eqx_1, __eqx_2) = skolem252(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-591, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem253(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem253(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-592, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem254(__eqx_0, __eqx_1, __eqx_2) = skolem254(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-593, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem255(__eqx_0, __eqx_1, __eqx_2) = skolem255(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-594, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem256(__eqx_0, __eqx_1, __eqx_2) = skolem256(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-595, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem257(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem257(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-596, 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)) )).
% 43.37/43.62 cnf(matrix-597, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem259(__eqx_0, __eqx_1, __eqx_2) = skolem259(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-598, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem260(__eqx_0, __eqx_1, __eqx_2) = skolem260(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-599, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem261(__eqx_0, __eqx_1) = skolem261(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-600, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem262(__eqx_0, __eqx_1, __eqx_2) = skolem262(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-601, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem263(__eqx_0, __eqx_1, __eqx_2) = skolem263(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-602, 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)) )).
% 43.37/43.62 cnf(matrix-603, 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)) )).
% 43.37/43.62 cnf(matrix-604, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem266(__eqx_0, __eqx_1, __eqx_2) = skolem266(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-605, 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)) )).
% 43.37/43.62 cnf(matrix-606, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem268(__eqx_0, __eqx_1) = skolem268(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-607, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem269(__eqx_0, __eqx_1, __eqx_2) = skolem269(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-608, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem270(__eqx_0, __eqx_1, __eqx_2) = skolem270(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-609, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem271(__eqx_0, __eqx_1, __eqx_2) = skolem271(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-610, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem272(__eqx_0, __eqx_1, __eqx_2) = skolem272(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-611, plain, ( ( __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) | ( skolem273(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem273(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.62 cnf(matrix-612, plain, ( ( __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) | ( skolem274(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem274(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.62 cnf(matrix-613, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem275(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem275(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 43.37/43.62 cnf(matrix-614, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( __eqx_8 != __eqy_8) | ( __eqx_9 != __eqy_9) | ( __eqx_10 != __eqy_10) | ( skolem276(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7, __eqx_8, __eqx_9, __eqx_10) = skolem276(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7, __eqy_8, __eqy_9, __eqy_10)) )).
% 43.37/43.62 cnf(matrix-615, plain, ( ( __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) | ( skolem277(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem277(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.62 cnf(matrix-616, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem278(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem278(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-617, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem279(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem279(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-618, plain, ( ( __eqx_0 != __eqy_0) | ( skolem280(__eqx_0) = skolem280(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-619, plain, ( ( __eqx_0 != __eqy_0) | ( skolem281(__eqx_0) = skolem281(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-620, plain, ( ( __eqx_0 != __eqy_0) | ( skolem282(__eqx_0) = skolem282(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-621, plain, ( ( __eqx_0 != __eqy_0) | ( skolem283(__eqx_0) = skolem283(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-622, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem284(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem284(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-623, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem285(__eqx_0, __eqx_1, __eqx_2) = skolem285(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-624, plain, ( ( __eqx_0 != __eqy_0) | ( skolem286(__eqx_0) = skolem286(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-625, plain, ( ( __eqx_0 != __eqy_0) | ( skolem287(__eqx_0) = skolem287(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-626, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem288(__eqx_0, __eqx_1, __eqx_2) = skolem288(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-627, 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)) )).
% 43.37/43.62 cnf(matrix-628, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem290(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem290(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-629, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem291(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem291(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-630, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem292(__eqx_0, __eqx_1) = skolem292(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-631, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem293(__eqx_0, __eqx_1, __eqx_2) = skolem293(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-632, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem294(__eqx_0, __eqx_1) = skolem294(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-633, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem295(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem295(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-634, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem296(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem296(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-635, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem297(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem297(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-636, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem298(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem298(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-637, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem299(__eqx_0, __eqx_1) = skolem299(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-638, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem300(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem300(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-639, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem301(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem301(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-640, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem302(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem302(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-641, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem303(__eqx_0, __eqx_1) = skolem303(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-642, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem304(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem304(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-643, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem305(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem305(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-644, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem306(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem306(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-645, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem307(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem307(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-646, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem308(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem308(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-647, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem309(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem309(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-648, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem310(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem310(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-649, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem311(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem311(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-650, plain, ( ( __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) | ( skolem312(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem312(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.37/43.62 cnf(matrix-651, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem313(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem313(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.37/43.62 cnf(matrix-652, 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)) )).
% 43.37/43.62 cnf(matrix-653, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem315(__eqx_0, __eqx_1) = skolem315(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-654, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem316(__eqx_0, __eqx_1, __eqx_2) = skolem316(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-655, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem317(__eqx_0, __eqx_1) = skolem317(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-656, plain, ( ( __eqx_0 != __eqy_0) | ( skolem318(__eqx_0) = skolem318(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-657, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem319(__eqx_0, __eqx_1, __eqx_2) = skolem319(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-658, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem320(__eqx_0, __eqx_1, __eqx_2) = skolem320(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-659, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem321(__eqx_0, __eqx_1) = skolem321(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-660, plain, ( ( __eqx_0 != __eqy_0) | ( skolem322(__eqx_0) = skolem322(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-661, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem323(__eqx_0, __eqx_1, __eqx_2) = skolem323(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-662, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem324(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem324(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-663, 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)) )).
% 43.37/43.62 cnf(matrix-664, 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)) )).
% 43.37/43.62 cnf(matrix-665, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem327(__eqx_0, __eqx_1, __eqx_2) = skolem327(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 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) | ( skolem328(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem328(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 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) | ( skolem329(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem329(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-668, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem330(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem330(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-669, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem331(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem331(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-670, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem332(__eqx_0, __eqx_1, __eqx_2) = skolem332(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-671, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem333(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem333(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-672, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem334(__eqx_0, __eqx_1, __eqx_2) = skolem334(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-673, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem335(__eqx_0, __eqx_1, __eqx_2) = skolem335(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-674, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem336(__eqx_0, __eqx_1) = skolem336(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-675, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem337(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem337(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-676, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem338(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem338(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-677, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem339(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem339(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.37/43.62 cnf(matrix-678, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem340(__eqx_0, __eqx_1) = skolem340(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-679, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem341(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem341(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-680, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem342(__eqx_0, __eqx_1, __eqx_2) = skolem342(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-681, 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)) )).
% 43.37/43.62 cnf(matrix-682, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem344(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem344(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-683, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem345(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem345(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-684, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem346(__eqx_0, __eqx_1, __eqx_2) = skolem346(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 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) | ( skolem347(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem347(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.37/43.62 cnf(matrix-686, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem348(__eqx_0, __eqx_1) = skolem348(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-687, 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)) )).
% 43.37/43.62 cnf(matrix-688, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem350(__eqx_0, __eqx_1, __eqx_2) = skolem350(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-689, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem351(__eqx_0, __eqx_1, __eqx_2) = skolem351(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-690, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem352(__eqx_0, __eqx_1) = skolem352(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-691, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem353(__eqx_0, __eqx_1, __eqx_2) = skolem353(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-692, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem354(__eqx_0, __eqx_1, __eqx_2) = skolem354(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-693, 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)) )).
% 43.37/43.62 cnf(matrix-694, 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)) )).
% 43.37/43.62 cnf(matrix-695, 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)) )).
% 43.37/43.62 cnf(matrix-696, 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)) )).
% 43.37/43.62 cnf(matrix-697, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem359(__eqx_0, __eqx_1, __eqx_2) = skolem359(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-698, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem360(__eqx_0, __eqx_1, __eqx_2) = skolem360(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-699, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem361(__eqx_0, __eqx_1, __eqx_2) = skolem361(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-700, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem362(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem362(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-701, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem363(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem363(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-702, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem364(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem364(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-703, 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)) )).
% 43.37/43.62 cnf(matrix-704, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem366(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem366(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-705, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem367(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem367(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-706, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem368(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem368(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-707, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem369(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem369(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-708, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem370(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem370(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-709, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem371(__eqx_0, __eqx_1) = skolem371(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-710, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem372(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem372(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-711, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem373(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem373(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 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) | ( skolem374(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem374(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.62 cnf(matrix-713, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem375(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem375(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-714, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem376(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem376(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-715, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem377(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem377(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-716, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem378(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem378(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-717, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem379(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem379(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-718, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem380(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem380(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 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) | ( skolem381(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem381(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.62 cnf(matrix-720, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem382(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem382(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-721, 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)) )).
% 43.37/43.62 cnf(matrix-722, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem384(__eqx_0, __eqx_1, __eqx_2) = skolem384(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-723, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem385(__eqx_0, __eqx_1, __eqx_2) = skolem385(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-724, 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)) )).
% 43.37/43.62 cnf(matrix-725, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem387(__eqx_0, __eqx_1, __eqx_2) = skolem387(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 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) | ( skolem388(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem388(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.37/43.62 cnf(matrix-727, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem389(__eqx_0, __eqx_1, __eqx_2) = skolem389(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-728, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem390(__eqx_0, __eqx_1, __eqx_2) = skolem390(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-729, 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)) )).
% 43.37/43.62 cnf(matrix-730, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem392(__eqx_0, __eqx_1) = skolem392(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-731, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem393(__eqx_0, __eqx_1, __eqx_2) = skolem393(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-732, 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)) )).
% 43.37/43.62 cnf(matrix-733, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem395(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem395(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-734, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem396(__eqx_0, __eqx_1, __eqx_2) = skolem396(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 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) | ( skolem397(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem397(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 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) | ( skolem398(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem398(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.62 cnf(matrix-737, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem399(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem399(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-738, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem400(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem400(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-739, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem401(__eqx_0, __eqx_1, __eqx_2) = skolem401(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-740, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem402(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem402(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-741, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem403(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem403(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-742, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem404(__eqx_0, __eqx_1, __eqx_2) = skolem404(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-743, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem405(__eqx_0, __eqx_1) = skolem405(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-744, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem406(__eqx_0, __eqx_1) = skolem406(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-745, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem407(__eqx_0, __eqx_1, __eqx_2) = skolem407(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-746, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem408(__eqx_0, __eqx_1) = skolem408(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-747, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem409(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem409(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-748, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem410(__eqx_0, __eqx_1, __eqx_2) = skolem410(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-749, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem411(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem411(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 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) | ( skolem412(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem412(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 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) | ( skolem413(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem413(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-752, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem414(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem414(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-753, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem415(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem415(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-754, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem416(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem416(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-755, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem417(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem417(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-756, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem418(__eqx_0, __eqx_1) = skolem418(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-757, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem419(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem419(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-758, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem420(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem420(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-759, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem421(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem421(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-760, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem422(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem422(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-761, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem423(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem423(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-762, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem424(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem424(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-763, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem425(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem425(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-764, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem426(__eqx_0, __eqx_1, __eqx_2) = skolem426(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-765, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem427(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem427(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-766, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem428(__eqx_0, __eqx_1, __eqx_2) = skolem428(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-767, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem429(__eqx_0, __eqx_1, __eqx_2) = skolem429(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-768, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem430(__eqx_0, __eqx_1, __eqx_2) = skolem430(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-769, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem431(__eqx_0, __eqx_1, __eqx_2) = skolem431(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-770, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem432(__eqx_0, __eqx_1, __eqx_2) = skolem432(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-771, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem433(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem433(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-772, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem434(__eqx_0, __eqx_1, __eqx_2) = skolem434(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-773, plain, ( ( __eqx_0 != __eqy_0) | ( skolem435(__eqx_0) = skolem435(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-774, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem436(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem436(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-775, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem437(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem437(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-776, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem438(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem438(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-777, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem439(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem439(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-778, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem440(__eqx_0, __eqx_1) = skolem440(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-779, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem441(__eqx_0, __eqx_1) = skolem441(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-780, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem442(__eqx_0, __eqx_1, __eqx_2) = skolem442(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-781, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem443(__eqx_0, __eqx_1, __eqx_2) = skolem443(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-782, 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)) )).
% 43.37/43.62 cnf(matrix-783, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem445(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem445(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-784, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem446(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem446(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-785, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem447(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem447(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-786, 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)) )).
% 43.37/43.62 cnf(matrix-787, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem449(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem449(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-788, 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)) )).
% 43.37/43.62 cnf(matrix-789, 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)) )).
% 43.37/43.62 cnf(matrix-790, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem452(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem452(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-791, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem453(__eqx_0, __eqx_1) = skolem453(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-792, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem454(__eqx_0, __eqx_1, __eqx_2) = skolem454(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-793, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem455(__eqx_0, __eqx_1, __eqx_2) = skolem455(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-794, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem456(__eqx_0, __eqx_1, __eqx_2) = skolem456(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-795, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem457(__eqx_0, __eqx_1, __eqx_2) = skolem457(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-796, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem458(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem458(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-797, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem459(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem459(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-798, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem460(__eqx_0, __eqx_1, __eqx_2) = skolem460(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-799, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem461(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem461(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-800, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem462(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem462(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-801, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem463(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem463(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-802, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem464(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem464(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-803, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem465(__eqx_0, __eqx_1) = skolem465(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-804, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem466(__eqx_0, __eqx_1) = skolem466(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-805, 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)) )).
% 43.37/43.62 cnf(matrix-806, 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)) )).
% 43.37/43.62 cnf(matrix-807, 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)) )).
% 43.37/43.62 cnf(matrix-808, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem470(__eqx_0, __eqx_1, __eqx_2) = skolem470(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-809, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem471(__eqx_0, __eqx_1) = skolem471(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-810, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem472(__eqx_0, __eqx_1, __eqx_2) = skolem472(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-811, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem473(__eqx_0, __eqx_1, __eqx_2) = skolem473(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-812, 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)) )).
% 43.37/43.62 cnf(matrix-813, 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)) )).
% 43.37/43.62 cnf(matrix-814, 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)) )).
% 43.37/43.62 cnf(matrix-815, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem477(__eqx_0, __eqx_1) = skolem477(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-816, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem478(__eqx_0, __eqx_1) = skolem478(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-817, 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)) )).
% 43.37/43.62 cnf(matrix-818, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem480(__eqx_0, __eqx_1, __eqx_2) = skolem480(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-819, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem481(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem481(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-820, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem482(__eqx_0, __eqx_1) = skolem482(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-821, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem483(__eqx_0, __eqx_1) = skolem483(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-822, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem484(__eqx_0, __eqx_1, __eqx_2) = skolem484(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-823, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem485(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem485(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-824, 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)) )).
% 43.37/43.62 cnf(matrix-825, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem487(__eqx_0, __eqx_1) = skolem487(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-826, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem488(__eqx_0, __eqx_1) = skolem488(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-827, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem489(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem489(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-828, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem490(__eqx_0, __eqx_1) = skolem490(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-829, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem491(__eqx_0, __eqx_1) = skolem491(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-830, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem492(__eqx_0, __eqx_1) = skolem492(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-831, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( __eqx_6 != __eqy_6) | ( __eqx_7 != __eqy_7) | ( skolem493(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6, __eqx_7) = skolem493(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6, __eqy_7)) )).
% 43.37/43.62 cnf(matrix-832, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem494(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem494(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-833, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem495(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem495(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-834, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem496(__eqx_0, __eqx_1) = skolem496(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-835, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem497(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem497(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-836, 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)) )).
% 43.37/43.62 cnf(matrix-837, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem499(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem499(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-838, 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)) )).
% 43.37/43.62 cnf(matrix-839, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem501(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem501(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-840, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem502(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem502(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-841, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem503(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem503(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-842, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem504(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem504(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-843, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem505(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem505(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-844, 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)) )).
% 43.37/43.62 cnf(matrix-845, 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)) )).
% 43.37/43.62 cnf(matrix-846, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem508(__eqx_0, __eqx_1, __eqx_2) = skolem508(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-847, 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)) )).
% 43.37/43.62 cnf(matrix-848, 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)) )).
% 43.37/43.62 cnf(matrix-849, 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)) )).
% 43.37/43.62 cnf(matrix-850, 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)) )).
% 43.37/43.62 cnf(matrix-851, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem513(__eqx_0, __eqx_1, __eqx_2) = skolem513(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-852, 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)) )).
% 43.37/43.62 cnf(matrix-853, 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)) )).
% 43.37/43.62 cnf(matrix-854, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem516(__eqx_0, __eqx_1, __eqx_2) = skolem516(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-855, 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)) )).
% 43.37/43.62 cnf(matrix-856, 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)) )).
% 43.37/43.62 cnf(matrix-857, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem519(__eqx_0, __eqx_1, __eqx_2) = skolem519(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-858, 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)) )).
% 43.37/43.62 cnf(matrix-859, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem521(__eqx_0, __eqx_1, __eqx_2) = skolem521(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-860, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem522(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem522(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-861, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem523(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem523(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-862, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem524(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem524(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-863, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem525(__eqx_0, __eqx_1, __eqx_2) = skolem525(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-864, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem526(__eqx_0, __eqx_1, __eqx_2) = skolem526(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-865, 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)) )).
% 43.37/43.62 cnf(matrix-866, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem528(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem528(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-867, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem529(__eqx_0, __eqx_1, __eqx_2) = skolem529(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-868, 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)) )).
% 43.37/43.62 cnf(matrix-869, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem531(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem531(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-870, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem532(__eqx_0, __eqx_1, __eqx_2) = skolem532(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-871, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem533(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem533(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-872, 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)) )).
% 43.37/43.62 cnf(matrix-873, 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)) )).
% 43.37/43.62 cnf(matrix-874, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem536(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem536(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-875, plain, ( ( __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) | ( skolem537(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem537(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.62 cnf(matrix-876, plain, ( ( __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) | ( skolem538(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5, __eqx_6) = skolem538(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5, __eqy_6)) )).
% 43.37/43.62 cnf(matrix-877, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem539(__eqx_0, __eqx_1) = skolem539(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-878, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem540(__eqx_0, __eqx_1, __eqx_2) = skolem540(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-879, plain, ( ( __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)) )).
% 43.37/43.62 cnf(matrix-880, plain, ( ( __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)) )).
% 43.37/43.62 cnf(matrix-881, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem543(__eqx_0, __eqx_1) = skolem543(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-882, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem544(__eqx_0, __eqx_1) = skolem544(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-883, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem545(__eqx_0, __eqx_1) = skolem545(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-884, plain, ( ( __eqx_0 != __eqy_0) | ( skolem546(__eqx_0) = skolem546(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-885, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem547(__eqx_0, __eqx_1) = skolem547(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-886, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem548(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem548(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-887, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem549(__eqx_0, __eqx_1, __eqx_2) = skolem549(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-888, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem550(__eqx_0, __eqx_1, __eqx_2) = skolem550(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-889, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem551(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem551(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-890, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem552(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem552(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-891, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( skolem553(__eqx_0, __eqx_1, __eqx_2, __eqx_3) = skolem553(__eqy_0, __eqy_1, __eqy_2, __eqy_3)) )).
% 43.37/43.62 cnf(matrix-892, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem554(__eqx_0, __eqx_1) = skolem554(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-893, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem555(__eqx_0, __eqx_1) = skolem555(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-894, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem556(__eqx_0, __eqx_1) = skolem556(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-895, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem557(__eqx_0, __eqx_1) = skolem557(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-896, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem558(__eqx_0, __eqx_1) = skolem558(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-897, plain, ( ( __eqx_0 != __eqy_0) | ( skolem559(__eqx_0) = skolem559(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-898, plain, ( ( __eqx_0 != __eqy_0) | ( skolem560(__eqx_0) = skolem560(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-899, plain, ( ( __eqx_0 != __eqy_0) | ( skolem561(__eqx_0) = skolem561(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-900, plain, ( ( __eqx_0 != __eqy_0) | ( skolem562(__eqx_0) = skolem562(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-901, plain, ( ( __eqx_0 != __eqy_0) | ( skolem563(__eqx_0) = skolem563(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-902, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem564(__eqx_0, __eqx_1) = skolem564(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-903, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem565(__eqx_0, __eqx_1) = skolem565(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-904, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( skolem566(__eqx_0, __eqx_1, __eqx_2) = skolem566(__eqy_0, __eqy_1, __eqy_2)) )).
% 43.37/43.62 cnf(matrix-905, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( skolem567(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) = skolem567(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4)) )).
% 43.37/43.62 cnf(matrix-906, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem568(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem568(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-907, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem569(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem569(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-908, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ( skolem570(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) = skolem570(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5)) )).
% 43.37/43.62 cnf(matrix-909, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem571(__eqx_0, __eqx_1) = skolem571(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-910, plain, ( ( __eqx_0 != __eqy_0) | ( skolem572(__eqx_0) = skolem572(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-911, plain, ( ( __eqx_0 != __eqy_0) | ( skolem573(__eqx_0) = skolem573(__eqy_0)) )).
% 43.37/43.62 cnf(matrix-912, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( skolem574(__eqx_0, __eqx_1) = skolem574(__eqy_0, __eqy_1)) )).
% 43.37/43.62 cnf(matrix-913, plain, ( ( __eqx_0 != __eqy_0) | ~hBOOL(__eqx_0) | hBOOL(__eqy_0) )).
% 43.37/43.62 cnf(matrix-914, 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) )).
% 43.37/43.62 cnf(matrix-915, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Olattice(__eqx_0) | class_Lattices_Olattice(__eqy_0) )).
% 43.37/43.62 cnf(matrix-916, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Opreorder(__eqx_0) | class_Orderings_Opreorder(__eqy_0) )).
% 43.37/43.62 cnf(matrix-917, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Olinorder(__eqx_0) | class_Orderings_Olinorder(__eqy_0) )).
% 43.37/43.62 cnf(matrix-918, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oorder(__eqx_0) | class_Orderings_Oorder(__eqy_0) )).
% 43.37/43.62 cnf(matrix-919, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Oord(__eqx_0) | class_Orderings_Oord(__eqy_0) )).
% 43.37/43.62 cnf(matrix-920, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__sup(__eqx_0) | class_Lattices_Osemilattice__sup(__eqy_0) )).
% 43.37/43.62 cnf(matrix-921, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Otriple__valid(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Otriple__valid(__eqy_0, __eqy_1, __eqy_2) )).
% 43.37/43.62 cnf(matrix-922, 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) )).
% 43.37/43.62 cnf(matrix-923, plain, ( ( __eqx_0 != __eqy_0) | ~class_Enum_Oenum(__eqx_0) | class_Enum_Oenum(__eqy_0) )).
% 43.37/43.62 cnf(matrix-924, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Obot(__eqx_0) | class_Orderings_Obot(__eqy_0) )).
% 43.37/43.62 cnf(matrix-925, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__bot(__eqx_0) | class_Lattices_Obounded__lattice__bot(__eqy_0) )).
% 43.37/43.62 cnf(matrix-926, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Owellorder(__eqx_0) | class_Orderings_Owellorder(__eqy_0) )).
% 43.37/43.62 cnf(matrix-927, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ~c_Natural_Oevaln(__eqx_0, __eqx_1, __eqx_2, __eqx_3) | c_Natural_Oevaln(__eqy_0, __eqy_1, __eqy_2, __eqy_3) )).
% 43.37/43.62 cnf(matrix-928, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ominus(__eqx_0) | class_Groups_Ominus(__eqy_0) )).
% 43.37/43.62 cnf(matrix-929, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add(__eqx_0) | class_Groups_Oordered__ab__group__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-930, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ogroup__add(__eqx_0) | class_Groups_Ogroup__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-931, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__group__add(__eqx_0) | class_Groups_Oab__group__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-932, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ozero(__eqx_0) | class_Groups_Ozero(__eqy_0) )).
% 43.37/43.62 cnf(matrix-933, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_Nitpick_Ofold__graph_H(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4, __eqx_5) | c_Nitpick_Ofold__graph_H(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4, __eqy_5) )).
% 43.37/43.62 cnf(matrix-934, plain, ( ( __eqx_0 != __eqy_0) | ~class_Complete__Lattice_Ocomplete__lattice(__eqx_0) | class_Complete__Lattice_Ocomplete__lattice(__eqy_0) )).
% 43.37/43.62 cnf(matrix-935, 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) )).
% 43.37/43.62 cnf(matrix-936, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__add(__eqx_0) | class_Groups_Ocomm__monoid__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-937, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring(__eqx_0) | class_Rings_Oring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-938, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__ab__semigroup__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-939, 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) )).
% 43.37/43.62 cnf(matrix-940, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Osemilattice__inf(__eqx_0) | class_Lattices_Osemilattice__inf(__eqy_0) )).
% 43.37/43.62 cnf(matrix-941, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Odistrib__lattice(__eqx_0) | class_Lattices_Odistrib__lattice(__eqy_0) )).
% 43.37/43.62 cnf(matrix-942, plain, ( ( __eqx_0 != __eqy_0) | ~class_Finite__Set_Ofinite(__eqx_0) | class_Finite__Set_Ofinite(__eqy_0) )).
% 43.37/43.62 cnf(matrix-943, 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) )).
% 43.37/43.62 cnf(matrix-944, plain, ( ( __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) )).
% 43.37/43.62 cnf(matrix-945, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__comm__monoid__add(__eqx_0) | class_Groups_Oordered__comm__monoid__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-946, 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) )).
% 43.37/43.62 cnf(matrix-947, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__cancel__ab__semigroup__add(__eqx_0) | class_Groups_Oordered__cancel__ab__semigroup__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-948, 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) )).
% 43.37/43.62 cnf(matrix-949, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__semigroup__add(__eqx_0) | class_Groups_Ocancel__semigroup__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-950, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocancel__ab__semigroup__add(__eqx_0) | class_Groups_Ocancel__ab__semigroup__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-951, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__add(__eqx_0) | class_Groups_Oab__semigroup__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-952, 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) )).
% 43.37/43.62 cnf(matrix-953, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__add(__eqx_0) | class_Groups_Omonoid__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-954, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__group__add(__eqx_0) | class_Groups_Olinordered__ab__group__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-955, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__idom(__eqx_0) | class_Rings_Olinordered__idom(__eqy_0) )).
% 43.37/43.62 cnf(matrix-956, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semidom(__eqx_0) | class_Rings_Olinordered__semidom(__eqy_0) )).
% 43.37/43.62 cnf(matrix-957, 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) )).
% 43.37/43.62 cnf(matrix-958, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ozero__neq__one(__eqx_0) | class_Rings_Ozero__neq__one(__eqy_0) )).
% 43.37/43.62 cnf(matrix-959, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oone(__eqx_0) | class_Groups_Oone(__eqy_0) )).
% 43.37/43.62 cnf(matrix-960, 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) )).
% 43.37/43.62 cnf(matrix-961, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring__1(__eqx_0) | class_Rings_Ocomm__semiring__1(__eqy_0) )).
% 43.37/43.62 cnf(matrix-962, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1(__eqx_0) | class_Rings_Oring__1(__eqy_0) )).
% 43.37/43.62 cnf(matrix-963, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Oring__char__0(__eqx_0) | class_Int_Oring__char__0(__eqy_0) )).
% 43.37/43.62 cnf(matrix-964, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ocomm__monoid__mult(__eqx_0) | class_Groups_Ocomm__monoid__mult(__eqy_0) )).
% 43.37/43.62 cnf(matrix-965, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oab__semigroup__idem__mult(__eqx_0) | class_Lattices_Oab__semigroup__idem__mult(__eqy_0) )).
% 43.37/43.62 cnf(matrix-966, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oab__semigroup__mult(__eqx_0) | class_Groups_Oab__semigroup__mult(__eqy_0) )).
% 43.37/43.62 cnf(matrix-967, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ono__zero__divisors(__eqx_0) | class_Rings_Ono__zero__divisors(__eqy_0) )).
% 43.37/43.62 cnf(matrix-968, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__no__zero__divisors(__eqx_0) | class_Rings_Oring__no__zero__divisors(__eqy_0) )).
% 43.37/43.62 cnf(matrix-969, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Omult__zero(__eqx_0) | class_Rings_Omult__zero(__eqy_0) )).
% 43.37/43.62 cnf(matrix-970, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring(__eqx_0) | class_Rings_Osemiring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-971, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__semiring(__eqx_0) | class_Rings_Ocomm__semiring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-972, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Omonoid__mult(__eqx_0) | class_Groups_Omonoid__mult(__eqy_0) )).
% 43.37/43.62 cnf(matrix-973, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__0(__eqx_0) | class_Rings_Osemiring__0(__eqy_0) )).
% 43.37/43.62 cnf(matrix-974, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring(__eqx_0) | class_Rings_Olinordered__ring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-975, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__ring__strict(__eqx_0) | class_Rings_Olinordered__ring__strict(__eqy_0) )).
% 43.37/43.62 cnf(matrix-976, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__cancel__semiring(__eqx_0) | class_Rings_Oordered__cancel__semiring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-977, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring(__eqx_0) | class_Rings_Oordered__ring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-978, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__semiring(__eqx_0) | class_Rings_Oordered__semiring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-979, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__comm__semiring(__eqx_0) | class_Rings_Oordered__comm__semiring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-980, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__strict(__eqx_0) | class_Rings_Olinordered__semiring__strict(__eqy_0) )).
% 43.37/43.62 cnf(matrix-981, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__comm__semiring__strict(__eqx_0) | class_Rings_Olinordered__comm__semiring__strict(__eqy_0) )).
% 43.37/43.62 cnf(matrix-982, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring(__eqx_0) | class_Rings_Olinordered__semiring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-983, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1(__eqx_0) | class_Rings_Olinordered__semiring__1(__eqy_0) )).
% 43.37/43.62 cnf(matrix-984, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Olinordered__semiring__1__strict(__eqx_0) | class_Rings_Olinordered__semiring__1__strict(__eqy_0) )).
% 43.37/43.62 cnf(matrix-985, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osemiring__char__0(__eqx_0) | class_Nat_Osemiring__char__0(__eqy_0) )).
% 43.37/43.62 cnf(matrix-986, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Osemiring__1(__eqx_0) | class_Rings_Osemiring__1(__eqy_0) )).
% 43.37/43.62 cnf(matrix-987, 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) )).
% 43.37/43.62 cnf(matrix-988, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Ois__nat(__eqx_0) | c_Nat__Transfer_Ois__nat(__eqy_0) )).
% 43.37/43.62 cnf(matrix-989, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nat__Transfer_Onat__set(__eqx_0) | c_Nat__Transfer_Onat__set(__eqy_0) )).
% 43.37/43.62 cnf(matrix-990, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oordered__ab__group__add__abs(__eqx_0) | class_Groups_Oordered__ab__group__add__abs(__eqy_0) )).
% 43.37/43.62 cnf(matrix-991, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oordered__ring__abs(__eqx_0) | class_Rings_Oordered__ring__abs(__eqy_0) )).
% 43.37/43.62 cnf(matrix-992, 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) )).
% 43.37/43.62 cnf(matrix-993, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Olinordered__ab__semigroup__add(__eqx_0) | class_Groups_Olinordered__ab__semigroup__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-994, plain, ( ( __eqx_0 != __eqy_0) | ~class_Orderings_Otop(__eqx_0) | class_Orderings_Otop(__eqy_0) )).
% 43.37/43.62 cnf(matrix-995, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice__top(__eqx_0) | class_Lattices_Obounded__lattice__top(__eqy_0) )).
% 43.37/43.62 cnf(matrix-996, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Oboolean__algebra(__eqx_0) | class_Lattices_Oboolean__algebra(__eqy_0) )).
% 43.37/43.62 cnf(matrix-997, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Ouminus(__eqx_0) | class_Groups_Ouminus(__eqy_0) )).
% 43.37/43.62 cnf(matrix-998, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oidom(__eqx_0) | class_Rings_Oidom(__eqy_0) )).
% 43.37/43.62 cnf(matrix-999, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field(__eqx_0) | class_Fields_Olinordered__field(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1000, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Ocomm__ring__1(__eqx_0) | class_Rings_Ocomm__ring__1(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1001, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oring__1__no__zero__divisors(__eqx_0) | class_Rings_Oring__1__no__zero__divisors(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1002, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Oabs__if(__eqx_0) | class_Groups_Oabs__if(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1003, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield(__eqx_0) | class_Fields_Ofield(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1004, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring(__eqx_0) | class_Rings_Odivision__ring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1005, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Odivision__ring__inverse__zero(__eqx_0) | class_Rings_Odivision__ring__inverse__zero(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1006, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Ofield__inverse__zero(__eqx_0) | class_Fields_Ofield__inverse__zero(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1007, plain, ( ( __eqx_0 != __eqy_0) | ~class_Power_Opower(__eqx_0) | class_Power_Opower(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1008, plain, ( ( __eqx_0 != __eqy_0) | ~class_Fields_Olinordered__field__inverse__zero(__eqx_0) | class_Fields_Olinordered__field__inverse__zero(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1009, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Osemiring__div(__eqx_0) | class_Divides_Osemiring__div(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1010, plain, ( ( __eqx_0 != __eqy_0) | ~class_Divides_Oring__div(__eqx_0) | class_Divides_Oring__div(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1011, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osgn__if(__eqx_0) | class_Groups_Osgn__if(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1012, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber__ring(__eqx_0) | class_Int_Onumber__ring(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1013, plain, ( ( __eqx_0 != __eqy_0) | ~class_Int_Onumber(__eqx_0) | class_Int_Onumber(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1014, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Int_Oiszero(__eqx_0, __eqx_1) | c_Int_Oiszero(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1015, 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) )).
% 43.37/43.62 cnf(matrix-1016, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oirrefl(__eqx_0, __eqx_1) | c_Relation_Oirrefl(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1017, 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) )).
% 43.37/43.62 cnf(matrix-1018, 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) )).
% 43.37/43.62 cnf(matrix-1019, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ( __eqx_5 != __eqy_5) | ~c_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) )).
% 43.37/43.62 cnf(matrix-1020, 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) )).
% 43.37/43.62 cnf(matrix-1021, 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) )).
% 43.37/43.62 cnf(matrix-1022, 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) )).
% 43.37/43.62 cnf(matrix-1023, 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) )).
% 43.37/43.62 cnf(matrix-1024, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Owf(__eqx_0, __eqx_1) | c_Wellfounded_Owf(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1025, 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) )).
% 43.37/43.62 cnf(matrix-1026, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_OwfP(__eqx_0, __eqx_1) | c_Wellfounded_OwfP(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1027, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Oreflp(__eqx_0, __eqx_1) | c_Predicate_Oreflp(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1028, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Wellfounded_Oacyclic(__eqx_0, __eqx_1) | c_Wellfounded_Oacyclic(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1029, 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) )).
% 43.37/43.62 cnf(matrix-1030, plain, ( ( __eqx_0 != __eqy_0) | ~c_Nitpick_Ounknown(__eqx_0) | c_Nitpick_Ounknown(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1031, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ~c_Hoare__Mirabelle_Ohoare__valids(__eqx_0, __eqx_1, __eqx_2) | c_Hoare__Mirabelle_Ohoare__valids(__eqy_0, __eqy_1, __eqy_2) )).
% 43.37/43.62 cnf(matrix-1032, 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) )).
% 43.37/43.62 cnf(matrix-1033, 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) )).
% 43.37/43.62 cnf(matrix-1034, 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) )).
% 43.37/43.62 cnf(matrix-1035, 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) )).
% 43.37/43.62 cnf(matrix-1036, 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) )).
% 43.37/43.62 cnf(matrix-1037, 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) )).
% 43.37/43.62 cnf(matrix-1038, plain, ( ( __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) )).
% 43.37/43.62 cnf(matrix-1039, plain, ( ( __eqx_0 != __eqy_0) | ~class_Rings_Oinverse(__eqx_0) | class_Rings_Oinverse(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1040, 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) )).
% 43.37/43.62 cnf(matrix-1041, 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) )).
% 43.37/43.62 cnf(matrix-1042, 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) )).
% 43.37/43.62 cnf(matrix-1043, plain, ( ( __eqx_0 != __eqy_0) | ~c_List_Onat__list(__eqx_0) | c_List_Onat__list(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1044, plain, ( ( __eqx_0 != __eqy_0) | ~class_Groups_Osemigroup__add(__eqx_0) | class_Groups_Osemigroup__add(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1045, 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) )).
% 43.37/43.62 cnf(matrix-1046, 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) )).
% 43.37/43.62 cnf(matrix-1047, 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) )).
% 43.37/43.62 cnf(matrix-1048, 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) )).
% 43.37/43.62 cnf(matrix-1049, 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) )).
% 43.37/43.62 cnf(matrix-1050, 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) )).
% 43.37/43.62 cnf(matrix-1051, plain, ( ( __eqx_0 != __eqy_0) | ~class_Nat_Osize(__eqx_0) | class_Nat_Osize(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1052, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lazy__Sequence_Osmall__lazy(__eqx_0) | class_Lazy__Sequence_Osmall__lazy(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1053, 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) )).
% 43.37/43.62 cnf(matrix-1054, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Otrans(__eqx_0, __eqx_1) | c_Relation_Otrans(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1055, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Otransp(__eqx_0, __eqx_1) | c_Predicate_Otransp(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1056, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Predicate_Osymp(__eqx_0, __eqx_1) | c_Predicate_Osymp(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1057, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Oantisym(__eqx_0, __eqx_1) | c_Relation_Oantisym(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1058, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Relation_Osym(__eqx_0, __eqx_1) | c_Relation_Osym(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1059, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ~c_Equiv__Relations_Opart__equivp(__eqx_0, __eqx_1) | c_Equiv__Relations_Opart__equivp(__eqy_0, __eqy_1) )).
% 43.37/43.62 cnf(matrix-1060, plain, ( ( __eqx_0 != __eqy_0) | ( __eqx_1 != __eqy_1) | ( __eqx_2 != __eqy_2) | ( __eqx_3 != __eqy_3) | ( __eqx_4 != __eqy_4) | ~c_Fun_Obij__betw(__eqx_0, __eqx_1, __eqx_2, __eqx_3, __eqx_4) | c_Fun_Obij__betw(__eqy_0, __eqy_1, __eqy_2, __eqy_3, __eqy_4) )).
% 43.37/43.62 cnf(matrix-1061, plain, ( ( __eqx_0 != __eqy_0) | ~class_Lattices_Obounded__lattice(__eqx_0) | class_Lattices_Obounded__lattice(__eqy_0) )).
% 43.37/43.62 cnf(matrix-1062, plain, ( ( hAPP(_u1, skolem1(_u2, _u1)) != hAPP(_u2, skolem1(_u2, _u1))) | ( _u1 = _u2) )).
% 43.37/43.62 cnf(matrix-1063, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u12), _u14), _u16) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u18), _u20), _u22)) | ( _u12 = _u18) )).
% 43.37/43.62 cnf(matrix-1064, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u12), _u14), _u16) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u18), _u20), _u22)) | ( _u14 = _u20) )).
% 43.37/43.62 cnf(matrix-1065, plain, ( ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u12), _u14), _u16) != hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u10), _u18), _u20), _u22)) | ( _u16 = _u22) )).
% 43.37/43.62 cnf(matrix-1066, plain, ( ( _u13 != _u19) | ( _u15 != _u21) | ( _u17 != _u23) | ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11), _u13), _u15), _u17) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u11), _u19), _u21), _u23)) )).
% 43.37/43.62 cnf(matrix-1067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u24), tc_HOL_Obool)), _u25), _u26)) | c_Hoare__Mirabelle_Ohoare__derivs(_u24, _u26, _u25) )).
% 43.37/43.62 cnf(matrix-1068, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u27, _u28, _u29) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(_u27), tc_HOL_Obool)), _u30), _u29)) | c_Hoare__Mirabelle_Ohoare__derivs(_u27, _u28, _u30) )).
% 43.37/43.62 cnf(matrix-1069, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u31, _u32, _u33) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u31, _u34, _u32) | c_Hoare__Mirabelle_Ohoare__derivs(_u31, _u34, _u33) )).
% 43.37/43.62 cnf(matrix-1070, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u35, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u35), tc_HOL_Obool)), _u36), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u35), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), hAPP(hAPP(c_COMBB(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u35)), _u37)), c_Com_Ocom_OBODY)), _u38)), _u39)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u35), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), hAPP(hAPP(c_COMBB(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u35)), _u37)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u38)), _u39)) | c_Hoare__Mirabelle_Ohoare__derivs(_u35, _u36, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u35), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), hAPP(hAPP(c_COMBB(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u35, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u35))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u35)), _u37)), c_Com_Ocom_OBODY)), _u38)), _u39)) )).
% 43.37/43.62 cnf(matrix-1071, plain, ( hBOOL(hAPP(_u41, _u43)) | hBOOL(hAPP(_u42, _u43)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u40, tc_HOL_Obool)), _u41), _u42), _u43)) )).
% 43.37/43.62 cnf(matrix-1072, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u47, tc_HOL_Obool)), _u46), _u44), _u45)) | ~hBOOL(hAPP(_u44, _u45)) )).
% 43.37/43.62 cnf(matrix-1073, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u47, tc_HOL_Obool)), _u46), _u44), _u45)) | ~hBOOL(hAPP(_u46, _u45)) )).
% 43.37/43.62 cnf(matrix-1074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u48, tc_HOL_Obool)), _u49), _u50)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u48, tc_HOL_Obool)), _u50), _u49)) | ( _u49 = _u50) )).
% 43.37/43.62 cnf(matrix-1075, plain, ( ~class_Lattices_Olattice(_u51) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u52, _u51)), _u53), _u54), _u55) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u51), hAPP(_u53, _u55)), hAPP(_u54, _u55))) )).
% 43.37/43.62 cnf(matrix-1076, plain, ( ~class_Orderings_Opreorder(_u56) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u56), _u57), _u57)) )).
% 43.37/43.62 cnf(matrix-1077, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__rec(_u58, _u59, _u60, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u58), _u61), _u62), _u63)) = hAPP(hAPP(hAPP(_u60, _u61), _u62), _u63)) )).
% 43.37/43.62 cnf(matrix-1078, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__case(_u64, _u65, _u66, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u64), _u67), _u68), _u69)) = hAPP(hAPP(hAPP(_u66, _u67), _u68), _u69)) )).
% 43.37/43.62 cnf(matrix-1079, plain, ( ( hAPP(c_Set_Oimage(_u70, _u71, _u72), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u70, tc_HOL_Obool)), _u73), _u74)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u71, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u70, _u71, _u72), _u73)), hAPP(c_Set_Oimage(_u70, _u71, _u72), _u74))) )).
% 43.37/43.62 cnf(matrix-1080, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u75, tc_HOL_Obool)), _u76), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u75, tc_HOL_Obool)), _u76), _u77))) )).
% 43.37/43.62 cnf(matrix-1081, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u78, tc_HOL_Obool)), _u79), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u78, tc_HOL_Obool)), _u80), _u79))) )).
% 43.37/43.62 cnf(matrix-1082, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u84, tc_HOL_Obool)), _u86), _u88)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u84, tc_HOL_Obool)), _u86), _u88) = _u88) )).
% 43.37/43.62 cnf(matrix-1083, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u85, tc_HOL_Obool)), _u87), _u89) != _u89) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u85, tc_HOL_Obool)), _u87), _u89)) )).
% 43.37/43.62 cnf(matrix-1084, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u90, tc_HOL_Obool)), _u91), _u92)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u90, tc_HOL_Obool)), _u91), _u92) = _u92) )).
% 43.37/43.62 cnf(matrix-1085, plain, ( ~class_Orderings_Olinorder(_u93) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u93), _u94), _u95)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u93), _u95), _u94)) )).
% 43.37/43.62 cnf(matrix-1086, plain, ( ~class_Orderings_Oorder(_u96) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u96), _u97), _u98)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u96), _u99), _u97)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u96), _u99), _u98)) )).
% 43.37/43.62 cnf(matrix-1087, plain, ( ~class_Orderings_Oorder(_u100) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u100), _u101), _u102)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u100), _u102), _u101)) | ( _u102 = _u101) )).
% 43.37/43.62 cnf(matrix-1088, plain, ( ~class_Orderings_Opreorder(_u103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u104), _u105)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u105), _u106)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u103), _u104), _u106)) )).
% 43.37/43.62 cnf(matrix-1089, plain, ( ~class_Orderings_Oorder(_u107) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u107), _u108), _u109)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u107), _u109), _u108)) | ( _u108 = _u109) )).
% 43.37/43.62 cnf(matrix-1090, plain, ( ~class_Orderings_Oorder(_u110) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u110), _u111), _u112)) | ( _u111 != _u113) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u110), _u113), _u112)) )).
% 43.37/43.62 cnf(matrix-1091, plain, ( ~class_Orderings_Oord(_u114) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u114), _u115), _u116)) | ( _u116 != _u117) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u114), _u115), _u117)) )).
% 43.37/43.62 cnf(matrix-1092, plain, ( ~class_Orderings_Oorder(_u118) | ( _u119 != _u120) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u118), _u121), _u120)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u118), _u121), _u119)) )).
% 43.37/43.62 cnf(matrix-1093, plain, ( ~class_Orderings_Oord(_u122) | ( _u123 != _u124) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u122), _u124), _u125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u122), _u123), _u125)) )).
% 43.37/43.62 cnf(matrix-1094, plain, ( ~class_Orderings_Oorder(_u126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u126), _u127), _u128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u126), _u128), _u127)) | ( _u128 = _u127) )).
% 43.37/43.62 cnf(matrix-1095, plain, ( ~class_Orderings_Oorder(_u126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u126), _u127), _u128)) | ( _u128 != _u127) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u126), _u128), _u127)) )).
% 43.37/43.62 cnf(matrix-1096, plain, ( ~class_Orderings_Opreorder(_u129) | ( _u130 != _u131) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u129), _u130), _u131)) )).
% 43.37/43.62 cnf(matrix-1097, plain, ( ~class_Orderings_Oorder(_u132) | ( _u133 != _u134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u132), _u133), _u134)) )).
% 43.37/43.62 cnf(matrix-1098, plain, ( ~class_Orderings_Oorder(_u132) | ( _u133 != _u134) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u132), _u134), _u133)) )).
% 43.37/43.62 cnf(matrix-1099, plain, ( ~class_Orderings_Oorder(_u132) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u132), _u133), _u134)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u132), _u134), _u133)) | ( _u133 = _u134) )).
% 43.37/43.62 cnf(matrix-1100, plain, ( ~class_Orderings_Olinorder(_u135) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u135), _u136), _u137)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u135), _u137), _u136)) )).
% 43.37/43.62 cnf(matrix-1101, plain, ( ~class_Lattices_Osemilattice__sup(_u138) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u138), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u138), _u139), _u140)), _u141) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u138), _u139), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u138), _u140), _u141))) )).
% 43.37/43.62 cnf(matrix-1102, plain, ( ~class_Lattices_Olattice(_u142) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u142), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u142), _u143), _u144)), _u145) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u142), _u143), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u142), _u144), _u145))) )).
% 43.37/43.62 cnf(matrix-1103, plain, ( ~class_Lattices_Osemilattice__sup(_u146) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u146), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u146), _u147), _u148)), _u149) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u146), _u147), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u146), _u148), _u149))) )).
% 43.37/43.62 cnf(matrix-1104, plain, ( ~class_Lattices_Osemilattice__sup(_u150) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u150), _u151), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u150), _u152), _u153)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u150), _u152), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u150), _u151), _u153))) )).
% 43.37/43.62 cnf(matrix-1105, plain, ( ~class_Lattices_Olattice(_u154) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u154), _u155), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u154), _u156), _u157)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u154), _u156), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u154), _u155), _u157))) )).
% 43.37/43.62 cnf(matrix-1106, plain, ( ~class_Lattices_Osemilattice__sup(_u158) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u158), _u159), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u158), _u160), _u161)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u158), _u160), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u158), _u159), _u161))) )).
% 43.37/43.62 cnf(matrix-1107, plain, ( ~class_Lattices_Osemilattice__sup(_u162) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u162), _u163), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u162), _u163), _u164)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u162), _u163), _u164)) )).
% 43.37/43.62 cnf(matrix-1108, plain, ( ~class_Lattices_Olattice(_u165) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u165), _u166), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u165), _u166), _u167)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u165), _u166), _u167)) )).
% 43.37/43.62 cnf(matrix-1109, plain, ( ~class_Lattices_Osemilattice__sup(_u168) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u168), _u169), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u168), _u169), _u170)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u168), _u169), _u170)) )).
% 43.37/43.62 cnf(matrix-1110, plain, ( ~class_Lattices_Osemilattice__sup(_u171) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u171), _u172), _u173) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u171), _u173), _u172)) )).
% 43.37/43.62 cnf(matrix-1111, plain, ( ~class_Lattices_Olattice(_u174) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u174), _u175), _u176) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u174), _u176), _u175)) )).
% 43.37/43.62 cnf(matrix-1112, plain, ( ~class_Lattices_Osemilattice__sup(_u177) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u177), _u178), _u179) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u177), _u179), _u178)) )).
% 43.37/43.62 cnf(matrix-1113, plain, ( ~class_Lattices_Osemilattice__sup(_u180) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u180), _u181), _u181) = _u181) )).
% 43.37/43.62 cnf(matrix-1114, plain, ( ~class_Lattices_Osemilattice__sup(_u182) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u182), _u183), _u183) = _u183) )).
% 43.37/43.62 cnf(matrix-1115, plain, ( ( _u184 != _u185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u186, tc_HOL_Obool)), _u184), _u185)) )).
% 43.37/43.62 cnf(matrix-1116, plain, ( ( _u184 != _u185) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u186, tc_HOL_Obool)), _u185), _u184)) )).
% 43.37/43.62 cnf(matrix-1117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u187, tc_HOL_Obool)), _u188), _u189)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u187, tc_HOL_Obool)), _u189), _u190)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u187, tc_HOL_Obool)), _u188), _u190)) )).
% 43.37/43.62 cnf(matrix-1118, plain, ( ~hBOOL(hAPP(_u192, _u194)) | hBOOL(hAPP(_u193, _u194)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u191, tc_HOL_Obool)), _u192), _u193)) )).
% 43.37/43.62 cnf(matrix-1119, plain, ( ( _u195 != _u196) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u197, tc_HOL_Obool)), _u196), _u195)) )).
% 43.37/43.62 cnf(matrix-1120, plain, ( ( _u198 != _u199) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u200, tc_HOL_Obool)), _u198), _u199)) )).
% 43.37/43.62 cnf(matrix-1121, plain, ( ~hBOOL(hAPP(_u201, _u202)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u203, tc_HOL_Obool)), _u201), _u204)) | hBOOL(hAPP(_u204, _u202)) )).
% 43.37/43.62 cnf(matrix-1122, plain, ( ( _u208 != _u210) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u212, tc_HOL_Obool)), _u208), _u210)) )).
% 43.37/43.62 cnf(matrix-1123, plain, ( ( _u208 != _u210) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u212, tc_HOL_Obool)), _u210), _u208)) )).
% 43.37/43.62 cnf(matrix-1124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u213, tc_HOL_Obool)), _u209), _u211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u213, tc_HOL_Obool)), _u211), _u209)) | ( _u209 = _u211) )).
% 43.37/43.62 cnf(matrix-1125, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u214, tc_HOL_Obool)), _u215), _u215)) )).
% 43.37/43.62 cnf(matrix-1126, plain, ( ~hBOOL(hAPP(_u216, _u217)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u218, tc_HOL_Obool)), _u219), _u216), _u217)) )).
% 43.37/43.62 cnf(matrix-1127, plain, ( ~hBOOL(hAPP(_u220, _u221)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u222, tc_HOL_Obool)), _u220), _u223), _u221)) )).
% 43.37/43.62 cnf(matrix-1128, plain, ( hBOOL(hAPP(hAPP(c_member(_u234), skolem2(_u240, _u238, _u236, _u234)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u234, tc_HOL_Obool)), _u236), _u238))) | ~hBOOL(hAPP(hAPP(c_member(_u234), _u225), _u236)) | hBOOL(hAPP(_u240, _u225)) )).
% 43.37/43.62 cnf(matrix-1129, plain, ( hBOOL(hAPP(hAPP(c_member(_u234), skolem2(_u240, _u238, _u236, _u234)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u234, tc_HOL_Obool)), _u236), _u238))) | ~hBOOL(hAPP(hAPP(c_member(_u234), _u226), _u238)) | hBOOL(hAPP(_u240, _u226)) )).
% 43.37/43.62 cnf(matrix-1130, plain, ( ~hBOOL(hAPP(_u240, skolem2(_u240, _u238, _u236, _u234))) | ~hBOOL(hAPP(hAPP(c_member(_u234), _u225), _u236)) | hBOOL(hAPP(_u240, _u225)) )).
% 43.37/43.62 cnf(matrix-1131, plain, ( ~hBOOL(hAPP(_u240, skolem2(_u240, _u238, _u236, _u234))) | ~hBOOL(hAPP(hAPP(c_member(_u234), _u226), _u238)) | hBOOL(hAPP(_u240, _u226)) )).
% 43.37/43.62 cnf(matrix-1132, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u235), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u235, tc_HOL_Obool)), _u237), _u239))) | hBOOL(hAPP(_u241, _u229)) | hBOOL(hAPP(hAPP(c_member(_u235), skolem3(_u241, _u239, _u237, _u235)), _u237)) | hBOOL(hAPP(hAPP(c_member(_u235), skolem4(_u241, _u239, _u237, _u235)), _u239)) )).
% 43.37/43.62 cnf(matrix-1133, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u235), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u235, tc_HOL_Obool)), _u237), _u239))) | hBOOL(hAPP(_u241, _u229)) | hBOOL(hAPP(hAPP(c_member(_u235), skolem3(_u241, _u239, _u237, _u235)), _u237)) | ~hBOOL(hAPP(_u241, skolem4(_u241, _u239, _u237, _u235))) )).
% 43.37/43.62 cnf(matrix-1134, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u235), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u235, tc_HOL_Obool)), _u237), _u239))) | hBOOL(hAPP(_u241, _u229)) | ~hBOOL(hAPP(_u241, skolem3(_u241, _u239, _u237, _u235))) | hBOOL(hAPP(hAPP(c_member(_u235), skolem4(_u241, _u239, _u237, _u235)), _u239)) )).
% 43.37/43.62 cnf(matrix-1135, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u235), _u229), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u235, tc_HOL_Obool)), _u237), _u239))) | hBOOL(hAPP(_u241, _u229)) | ~hBOOL(hAPP(_u241, skolem3(_u241, _u239, _u237, _u235))) | ~hBOOL(hAPP(_u241, skolem4(_u241, _u239, _u237, _u235))) )).
% 43.37/43.62 cnf(matrix-1136, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u252, tc_HOL_Obool)), _u254), _u256))) | ~hBOOL(hAPP(_u258, _u242)) | hBOOL(hAPP(hAPP(c_member(_u252), skolem5(_u258, _u256, _u254, _u252)), _u254)) | hBOOL(hAPP(hAPP(c_member(_u252), skolem6(_u258, _u256, _u254, _u252)), _u256)) )).
% 43.37/43.62 cnf(matrix-1137, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u252, tc_HOL_Obool)), _u254), _u256))) | ~hBOOL(hAPP(_u258, _u242)) | hBOOL(hAPP(hAPP(c_member(_u252), skolem5(_u258, _u256, _u254, _u252)), _u254)) | hBOOL(hAPP(_u258, skolem6(_u258, _u256, _u254, _u252))) )).
% 43.37/43.62 cnf(matrix-1138, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u252, tc_HOL_Obool)), _u254), _u256))) | ~hBOOL(hAPP(_u258, _u242)) | hBOOL(hAPP(_u258, skolem5(_u258, _u256, _u254, _u252))) | hBOOL(hAPP(hAPP(c_member(_u252), skolem6(_u258, _u256, _u254, _u252)), _u256)) )).
% 43.37/43.62 cnf(matrix-1139, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u252), _u242), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u252, tc_HOL_Obool)), _u254), _u256))) | ~hBOOL(hAPP(_u258, _u242)) | hBOOL(hAPP(_u258, skolem5(_u258, _u256, _u254, _u252))) | hBOOL(hAPP(_u258, skolem6(_u258, _u256, _u254, _u252))) )).
% 43.37/43.62 cnf(matrix-1140, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u245), _u255)) | ~hBOOL(hAPP(_u259, _u245)) | hBOOL(hAPP(hAPP(c_member(_u253), skolem7(_u259, _u257, _u255, _u253)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u253, tc_HOL_Obool)), _u255), _u257))) )).
% 43.37/43.62 cnf(matrix-1141, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u245), _u255)) | ~hBOOL(hAPP(_u259, _u245)) | hBOOL(hAPP(_u259, skolem7(_u259, _u257, _u255, _u253))) )).
% 43.37/43.62 cnf(matrix-1142, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u246), _u257)) | ~hBOOL(hAPP(_u259, _u246)) | hBOOL(hAPP(hAPP(c_member(_u253), skolem7(_u259, _u257, _u255, _u253)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u253, tc_HOL_Obool)), _u255), _u257))) )).
% 43.37/43.62 cnf(matrix-1143, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u253), _u246), _u257)) | ~hBOOL(hAPP(_u259, _u246)) | hBOOL(hAPP(_u259, skolem7(_u259, _u257, _u255, _u253))) )).
% 43.37/43.62 cnf(matrix-1144, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), _u261), _u262)), _u263) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), _u261), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u260, tc_HOL_Obool)), _u262), _u263))) )).
% 43.37/43.62 cnf(matrix-1145, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u264, tc_HOL_Obool)), _u265), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u264, tc_HOL_Obool)), _u266), _u267)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u264, tc_HOL_Obool)), _u266), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u264, tc_HOL_Obool)), _u265), _u267))) )).
% 43.37/43.62 cnf(matrix-1146, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u268, tc_HOL_Obool)), _u269), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u268, tc_HOL_Obool)), _u269), _u270)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u268, tc_HOL_Obool)), _u269), _u270)) )).
% 43.37/43.62 cnf(matrix-1147, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u271, tc_HOL_Obool)), _u272), _u273) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u271, tc_HOL_Obool)), _u273), _u272)) )).
% 43.37/43.62 cnf(matrix-1148, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u274, tc_HOL_Obool)), _u275), _u275) = _u275) )).
% 43.37/43.62 cnf(matrix-1149, plain, ( ( hAPP(c_Set_Oimage(_u276, _u277, _u278), hAPP(c_Set_Oimage(_u279, _u276, _u280), _u281)) = hAPP(c_Set_Oimage(_u279, _u277, hAPP(hAPP(c_COMBB(_u276, _u277, _u279), _u278), _u280)), _u281)) )).
% 43.37/43.62 cnf(matrix-1150, plain, ( ~class_Lattices_Osemilattice__sup(_u282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u282), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u282), _u283), _u284)), _u285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u282), _u283), _u285)) )).
% 43.37/43.62 cnf(matrix-1151, plain, ( ~class_Lattices_Osemilattice__sup(_u282) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u282), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u282), _u283), _u284)), _u285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u282), _u284), _u285)) )).
% 43.37/43.62 cnf(matrix-1152, plain, ( ~class_Lattices_Osemilattice__sup(_u286) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u286), _u287), _u288)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u286), _u289), _u290)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u286), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u286), _u287), _u289)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u286), _u288), _u290))) )).
% 43.37/43.62 cnf(matrix-1153, plain, ( ~class_Lattices_Osemilattice__sup(_u291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u291), _u292), _u293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u291), _u294), _u293)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u291), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u291), _u292), _u294)), _u293)) )).
% 43.37/43.62 cnf(matrix-1154, plain, ( ~class_Lattices_Osemilattice__sup(_u295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u295), _u296), _u297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u295), _u298), _u297)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u295), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u295), _u296), _u298)), _u297)) )).
% 43.37/43.62 cnf(matrix-1155, plain, ( ~class_Lattices_Osemilattice__sup(_u299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u299), _u300), _u301)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u299), _u301), _u300) = _u301) )).
% 43.37/43.62 cnf(matrix-1156, plain, ( ~class_Lattices_Osemilattice__sup(_u302) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u302), _u303), _u304)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u302), _u303), _u304) = _u304) )).
% 43.37/43.62 cnf(matrix-1157, plain, ( ~class_Lattices_Osemilattice__sup(_u305) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u305), _u306), _u307)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u305), _u306), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u305), _u308), _u307))) )).
% 43.37/43.62 cnf(matrix-1158, plain, ( ~class_Lattices_Osemilattice__sup(_u309) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u309), _u310), _u311)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u309), _u310), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u309), _u311), _u312))) )).
% 43.37/43.62 cnf(matrix-1159, plain, ( ~class_Lattices_Osemilattice__sup(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u313), _u314), _u315)), _u316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u314), _u316)) )).
% 43.37/43.62 cnf(matrix-1160, plain, ( ~class_Lattices_Osemilattice__sup(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u313), _u314), _u315)), _u316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u316)) )).
% 43.37/43.62 cnf(matrix-1161, plain, ( ~class_Lattices_Osemilattice__sup(_u313) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u314), _u316)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), _u315), _u316)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u313), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u313), _u314), _u315)), _u316)) )).
% 43.37/43.62 cnf(matrix-1162, plain, ( ~class_Lattices_Osemilattice__sup(_u317) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u317), _u318), _u319)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u317), _u318), _u319) = _u319) )).
% 43.37/43.62 cnf(matrix-1163, plain, ( ~class_Lattices_Osemilattice__sup(_u317) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u317), _u318), _u319) != _u319) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u317), _u318), _u319)) )).
% 43.37/43.62 cnf(matrix-1164, plain, ( ~class_Lattices_Osemilattice__sup(_u320) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u320), _u321), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u320), _u322), _u321))) )).
% 43.37/43.62 cnf(matrix-1165, plain, ( ~class_Lattices_Olattice(_u323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u323), _u324), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u323), _u325), _u324))) )).
% 43.37/43.62 cnf(matrix-1166, plain, ( ~class_Lattices_Osemilattice__sup(_u326) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u326), _u327), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u326), _u327), _u328))) )).
% 43.37/43.62 cnf(matrix-1167, plain, ( ~class_Lattices_Olattice(_u329) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u329), _u330), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u329), _u330), _u331))) )).
% 43.37/43.62 cnf(matrix-1168, plain, ( ~class_Orderings_Oord(_u332) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u333, _u332)), _u334), _u335)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u332), hAPP(_u334, _u336)), hAPP(_u335, _u336))) )).
% 43.37/43.62 cnf(matrix-1169, plain, ( ~class_Orderings_Oord(_u337) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u338, _u337)), _u339), _u340)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u337), hAPP(_u339, _u341)), hAPP(_u340, _u341))) )).
% 43.37/43.62 cnf(matrix-1170, plain, ( ~class_Orderings_Oord(_u344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u345, _u344)), _u346), _u347)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u344), hAPP(_u346, _u342)), hAPP(_u347, _u342))) )).
% 43.37/43.62 cnf(matrix-1171, plain, ( ~class_Orderings_Oord(_u344) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u344), hAPP(_u346, skolem8(_u347, _u346, _u345, _u344))), hAPP(_u347, skolem8(_u347, _u346, _u345, _u344)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u345, _u344)), _u346), _u347)) )).
% 43.37/43.62 cnf(matrix-1172, plain, ( ~class_Lattices_Olattice(_u348) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u349, _u348)), _u350), _u351), _u352) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u348), hAPP(_u350, _u352)), hAPP(_u351, _u352))) )).
% 43.37/43.62 cnf(matrix-1173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u353, tc_HOL_Obool)), _u354), _u355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u356, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u353, _u356, _u357), _u354)), hAPP(c_Set_Oimage(_u353, _u356, _u357), _u355))) )).
% 43.37/43.62 cnf(matrix-1174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u365, tc_HOL_Obool)), _u367), hAPP(c_Set_Oimage(_u369, _u365, _u371), _u373))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u369, tc_HOL_Obool)), skolem9(_u373, _u371, _u369, _u367, _u365)), _u373)) )).
% 43.37/43.62 cnf(matrix-1175, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u365, tc_HOL_Obool)), _u367), hAPP(c_Set_Oimage(_u369, _u365, _u371), _u373))) | ( _u367 = hAPP(c_Set_Oimage(_u369, _u365, _u371), skolem9(_u373, _u371, _u369, _u367, _u365))) )).
% 43.37/43.62 cnf(matrix-1176, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u370, tc_HOL_Obool)), _u359), _u374)) | ( _u368 != hAPP(c_Set_Oimage(_u370, _u366, _u372), _u359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u366, tc_HOL_Obool)), _u368), hAPP(c_Set_Oimage(_u370, _u366, _u372), _u374))) )).
% 43.37/43.62 cnf(matrix-1177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u375, tc_HOL_Obool)), _u376), _u377)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u375, tc_HOL_Obool)), _u378), _u379)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u375, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u375, tc_HOL_Obool)), _u376), _u378)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u375, tc_HOL_Obool)), _u377), _u379))) )).
% 43.37/43.62 cnf(matrix-1178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u380, tc_HOL_Obool)), _u381), _u382)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u380, tc_HOL_Obool)), _u383), _u382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u380, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u380, tc_HOL_Obool)), _u381), _u383)), _u382)) )).
% 43.37/43.62 cnf(matrix-1179, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u384, tc_HOL_Obool)), _u385), _u386)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u384, tc_HOL_Obool)), _u386), _u385) = _u386) )).
% 43.37/43.62 cnf(matrix-1180, plain, ( ( hAPP(c_Set_Oimage(_u387, _u387, c_COMBI(_u387)), _u388) = _u388) )).
% 43.37/43.62 cnf(matrix-1181, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u391) != hAPP(c_Com_Ocom_OBODY, _u393)) | ( _u391 = _u393) )).
% 43.37/43.62 cnf(matrix-1182, plain, ( ( _u392 != _u394) | ( hAPP(c_Com_Ocom_OBODY, _u392) = hAPP(c_Com_Ocom_OBODY, _u394)) )).
% 43.37/43.62 cnf(matrix-1183, plain, ( ~class_Lattices_Olattice(_u395) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u395), _u396), _u396) = _u396) )).
% 43.37/43.62 cnf(matrix-1184, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u397, tc_HOL_Obool)), _u398), _u399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u397, tc_HOL_Obool), tc_HOL_Obool)), c_Predicate_OPowp(_u397, _u398)), c_Predicate_OPowp(_u397, _u399))) )).
% 43.37/43.62 cnf(matrix-1185, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u400, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(_u400), tc_HOL_Obool)), _u401), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u400), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400))), hAPP(hAPP(c_COMBB(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u400)), _u402)), c_Com_Ocom_OBODY)), _u403)), _u404)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(_u400), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400))), hAPP(hAPP(c_COMBB(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(_u400, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(_u400))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(_u400)), _u402)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), _u403)), _u404)) | ~hBOOL(hAPP(hAPP(c_member(tc_Com_Opname), _u405), _u404)) | c_Hoare__Mirabelle_Ohoare__derivs(_u400, _u401, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u400)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u400), hAPP(_u402, _u405)), hAPP(c_Com_Ocom_OBODY, _u405)), hAPP(_u403, _u405))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u400), tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1186, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u406))), _u407), _u408)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u406)), _u407), _u408)) )).
% 43.37/43.62 cnf(matrix-1187, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u409)), _u410), _u411)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u409))), _u410), _u411)) )).
% 43.37/43.62 cnf(matrix-1188, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u417, _u419, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u417), _u421), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u423))), _u425)) | c_Hoare__Mirabelle_Otriple__valid(_u417, hAPP(c_Nat_OSuc, _u419), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u417), _u421), hAPP(c_Com_Ocom_OBODY, _u423)), _u425)) )).
% 43.37/43.62 cnf(matrix-1189, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u418, hAPP(c_Nat_OSuc, _u420), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u418), _u422), hAPP(c_Com_Ocom_OBODY, _u424)), _u426)) | c_Hoare__Mirabelle_Otriple__valid(_u418, _u420, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u418), _u422), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u424))), _u426)) )).
% 43.37/43.62 cnf(matrix-1190, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u427, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u427)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u427), _u428), hAPP(c_Com_Ocom_OBODY, _u429)), _u430)), _u431), hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u427)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u427), _u428), hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u429))), _u430)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u427), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u427, _u431, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u427)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u427), _u428), hAPP(c_Com_Ocom_OBODY, _u429)), _u430)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u427), tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1191, plain, ( ~class_Lattices_Osemilattice__sup(_u432) | ~class_Lattices_Osemilattice__sup(_u433) | ~c_Orderings_Oorder__class_Omono(_u433, _u432, _u434) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u432), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u432), hAPP(_u434, _u435)), hAPP(_u434, _u436))), hAPP(_u434, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u433), _u435), _u436)))) )).
% 43.37/43.62 cnf(matrix-1192, plain, ( ~class_Orderings_Oorder(_u437) | ~class_Enum_Oenum(_u438) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u438, _u437)), _u439), _u440)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u438), hAPP(hAPP(c_COMBS(_u438, _u437, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u437, tc_fun(_u437, tc_HOL_Obool), _u438), c_Orderings_Oord__class_Oless__eq(_u437)), _u439)), _u440))) )).
% 43.37/43.62 cnf(matrix-1193, plain, ( ~class_Orderings_Oorder(_u437) | ~class_Enum_Oenum(_u438) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u438), hAPP(hAPP(c_COMBS(_u438, _u437, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u437, tc_fun(_u437, tc_HOL_Obool), _u438), c_Orderings_Oord__class_Oless__eq(_u437)), _u439)), _u440))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u438, _u437)), _u439), _u440)) )).
% 43.37/43.62 cnf(matrix-1194, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u444)), _u446), _u448)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u444))), _u446), _u448)) )).
% 43.37/43.62 cnf(matrix-1195, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u445))), _u447), _u449)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY, _u445)), _u447), _u449)) )).
% 43.37/43.62 cnf(matrix-1196, plain, ( ( _u450 != _u451) | hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u450)) | ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u451)) )).
% 43.37/43.62 cnf(matrix-1197, plain, ( ( _u450 != _u451) | hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u451)) | ~hBOOL(hAPP(hAPP(c_member(_u452), _u453), _u450)) )).
% 43.37/43.62 cnf(matrix-1198, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u454), _u455), c_Orderings_Obot__class_Obot(tc_fun(_u454, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1199, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u456), _u457), hAPP(hAPP(c_Set_Oinsert(_u456), _u458), _u459))) | ( _u457 = _u458) | hBOOL(hAPP(hAPP(c_member(_u456), _u457), _u459)) )).
% 43.37/43.62 cnf(matrix-1200, plain, ( hBOOL(hAPP(hAPP(c_member(_u460), _u461), hAPP(hAPP(c_Set_Oinsert(_u460), _u463), _u462))) | ~hBOOL(hAPP(hAPP(c_member(_u460), _u461), _u462)) )).
% 43.37/43.62 cnf(matrix-1201, plain, ( hBOOL(hAPP(hAPP(c_member(_u460), _u461), hAPP(hAPP(c_Set_Oinsert(_u460), _u463), _u462))) | ( _u461 != _u463) )).
% 43.37/43.62 cnf(matrix-1202, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u464, tc_HOL_Obool)), _u465), _u466)) | ~hBOOL(hAPP(hAPP(c_member(_u464), _u467), _u465)) | hBOOL(hAPP(hAPP(c_member(_u464), _u467), _u466)) )).
% 43.37/43.62 cnf(matrix-1203, plain, ( ( _u468 != hAPP(_u469, _u470)) | ~hBOOL(hAPP(hAPP(c_member(_u471), _u470), _u472)) | hBOOL(hAPP(hAPP(c_member(_u473), _u468), hAPP(c_Set_Oimage(_u471, _u473, _u469), _u472))) )).
% 43.37/43.62 cnf(matrix-1204, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u474), _u475), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u474, tc_HOL_Obool)), _u476), _u477))) | hBOOL(hAPP(hAPP(c_member(_u474), _u475), _u476)) | hBOOL(hAPP(hAPP(c_member(_u474), _u475), _u477)) )).
% 43.37/43.62 cnf(matrix-1205, plain, ( hBOOL(hAPP(hAPP(c_member(_u478), _u479), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u478, tc_HOL_Obool)), _u481), _u480))) | ~hBOOL(hAPP(hAPP(c_member(_u478), _u479), _u480)) )).
% 43.37/43.62 cnf(matrix-1206, plain, ( hBOOL(hAPP(hAPP(c_member(_u478), _u479), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u478, tc_HOL_Obool)), _u481), _u480))) | ~hBOOL(hAPP(hAPP(c_member(_u478), _u479), _u481)) )).
% 43.37/43.62 cnf(matrix-1207, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u482, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u482, tc_HOL_Obool))), _u483)) )).
% 43.37/43.62 cnf(matrix-1208, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u484, tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(_u484), _u485), _u486)) )).
% 43.37/43.62 cnf(matrix-1209, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u487), _u488), _u489) != c_Orderings_Obot__class_Obot(tc_fun(_u487, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1210, plain, ( ~class_Orderings_Obot(_u490) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u491, _u490)), _u492) = c_Orderings_Obot__class_Obot(_u490)) )).
% 43.37/43.62 cnf(matrix-1211, plain, ( ~hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u495, tc_HOL_Obool)), _u497)) | hBOOL(hAPP(hAPP(c_member(_u495), _u497), c_Orderings_Obot__class_Obot(tc_fun(_u495, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1212, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u496), _u498), c_Orderings_Obot__class_Obot(tc_fun(_u496, tc_HOL_Obool)))) | hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u496, tc_HOL_Obool)), _u498)) )).
% 43.37/43.62 cnf(matrix-1213, plain, ( hBOOL(hAPP(hAPP(c_member(_u499), _u500), hAPP(hAPP(c_Set_Oinsert(_u499), _u500), _u501))) )).
% 43.37/43.62 cnf(matrix-1214, plain, ( ~class_Orderings_Obot(_u502) | ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u503, _u502)), _u504) = c_Orderings_Obot__class_Obot(_u502)) )).
% 43.37/43.62 cnf(matrix-1215, plain, ( hBOOL(hAPP(hAPP(c_member(_u509), skolem10(_u511, _u509)), _u511)) | ( _u511 = c_Orderings_Obot__class_Obot(tc_fun(_u509, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1216, plain, ( ( _u512 != c_Orderings_Obot__class_Obot(tc_fun(_u510, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u510), _u506), _u512)) )).
% 43.37/43.62 cnf(matrix-1217, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u517), _u513), _u519)) | ( _u519 != c_Orderings_Obot__class_Obot(tc_fun(_u517, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1218, plain, ( ( _u520 = c_Orderings_Obot__class_Obot(tc_fun(_u518, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u518), skolem11(_u520, _u518)), _u520)) )).
% 43.37/43.62 cnf(matrix-1219, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u521), _u522), c_Orderings_Obot__class_Obot(tc_fun(_u521, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1220, plain, ( hBOOL(hAPP(_u530, _u528)) | ~hBOOL(hAPP(hAPP(c_member(_u526), _u528), _u530)) )).
% 43.37/43.62 cnf(matrix-1221, plain, ( ~hBOOL(hAPP(_u531, _u529)) | hBOOL(hAPP(hAPP(c_member(_u527), _u529), _u531)) )).
% 43.37/43.62 cnf(matrix-1222, plain, ( ( _u537 = _u539) | ~hBOOL(hAPP(hAPP(c_member(_u535), _u537), hAPP(c_fequal, _u539))) )).
% 43.37/43.62 cnf(matrix-1223, plain, ( ( _u538 != _u540) | hBOOL(hAPP(hAPP(c_member(_u536), _u538), hAPP(c_fequal, _u540))) )).
% 43.37/43.62 cnf(matrix-1224, plain, ( ( _u546 = _u548) | ~hBOOL(hAPP(hAPP(c_member(_u544), _u546), hAPP(hAPP(c_Set_Oinsert(_u544), _u548), c_Orderings_Obot__class_Obot(tc_fun(_u544, tc_HOL_Obool))))) )).
% 43.37/43.62 cnf(matrix-1225, plain, ( ( _u547 != _u549) | hBOOL(hAPP(hAPP(c_member(_u545), _u547), hAPP(hAPP(c_Set_Oinsert(_u545), _u549), c_Orderings_Obot__class_Obot(tc_fun(_u545, tc_HOL_Obool))))) )).
% 43.37/43.62 cnf(matrix-1226, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u550), _u551), hAPP(hAPP(c_Set_Oinsert(_u550), _u551), _u552)) = hAPP(hAPP(c_Set_Oinsert(_u550), _u551), _u552)) )).
% 43.37/43.62 cnf(matrix-1227, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u553), _u554), hAPP(hAPP(c_Set_Oinsert(_u553), _u555), _u556)) = hAPP(hAPP(c_Set_Oinsert(_u553), _u555), hAPP(hAPP(c_Set_Oinsert(_u553), _u554), _u556))) )).
% 43.37/43.62 cnf(matrix-1228, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u561), _u563), hAPP(hAPP(c_Set_Oinsert(_u561), _u565), _u567))) | ( _u563 = _u565) | hBOOL(hAPP(hAPP(c_member(_u561), _u563), _u567)) )).
% 43.37/43.62 cnf(matrix-1229, plain, ( hBOOL(hAPP(hAPP(c_member(_u562), _u564), hAPP(hAPP(c_Set_Oinsert(_u562), _u566), _u568))) | ( _u564 != _u566) )).
% 43.37/43.62 cnf(matrix-1230, plain, ( hBOOL(hAPP(hAPP(c_member(_u562), _u564), hAPP(hAPP(c_Set_Oinsert(_u562), _u566), _u568))) | ~hBOOL(hAPP(hAPP(c_member(_u562), _u564), _u568)) )).
% 43.37/43.62 cnf(matrix-1231, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u574), _u576), hAPP(hAPP(c_Set_Oinsert(_u574), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u574), _u580), hAPP(hAPP(c_Set_Oinsert(_u574), _u582), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))))) | ( _u576 = _u580) | ( _u576 = _u582) )).
% 43.37/43.62 cnf(matrix-1232, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u574), _u576), hAPP(hAPP(c_Set_Oinsert(_u574), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u574), _u580), hAPP(hAPP(c_Set_Oinsert(_u574), _u582), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))))) | ( _u576 = _u580) | ( _u578 = _u580) )).
% 43.37/43.62 cnf(matrix-1233, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u574), _u576), hAPP(hAPP(c_Set_Oinsert(_u574), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u574), _u580), hAPP(hAPP(c_Set_Oinsert(_u574), _u582), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))))) | ( _u578 = _u582) | ( _u576 = _u582) )).
% 43.37/43.62 cnf(matrix-1234, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u574), _u576), hAPP(hAPP(c_Set_Oinsert(_u574), _u578), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool)))) != hAPP(hAPP(c_Set_Oinsert(_u574), _u580), hAPP(hAPP(c_Set_Oinsert(_u574), _u582), c_Orderings_Obot__class_Obot(tc_fun(_u574, tc_HOL_Obool))))) | ( _u578 = _u582) | ( _u578 = _u580) )).
% 43.37/43.62 cnf(matrix-1235, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u575), _u577), hAPP(hAPP(c_Set_Oinsert(_u575), _u579), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u575), _u581), hAPP(hAPP(c_Set_Oinsert(_u575), _u583), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool))))) | ( _u577 != _u581) | ( _u579 != _u583) )).
% 43.37/43.62 cnf(matrix-1236, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u575), _u577), hAPP(hAPP(c_Set_Oinsert(_u575), _u579), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(_u575), _u581), hAPP(hAPP(c_Set_Oinsert(_u575), _u583), c_Orderings_Obot__class_Obot(tc_fun(_u575, tc_HOL_Obool))))) | ( _u577 != _u583) | ( _u579 != _u581) )).
% 43.37/43.62 cnf(matrix-1237, plain, ( ( _u590 = _u594) | hBOOL(hAPP(_u592, _u594)) | ~hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u588), _u590), _u592), _u594)) )).
% 43.37/43.62 cnf(matrix-1238, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u589), _u591), _u593), _u595)) | ( _u591 != _u595) )).
% 43.37/43.62 cnf(matrix-1239, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(_u589), _u591), _u593), _u595)) | ~hBOOL(hAPP(_u593, _u595)) )).
% 43.37/43.62 cnf(matrix-1240, plain, ( hBOOL(hAPP(hAPP(c_member(_u596), _u597), _u598)) | hBOOL(hAPP(hAPP(c_member(_u596), _u597), _u599)) | ( hAPP(hAPP(c_Set_Oinsert(_u596), _u597), _u598) != hAPP(hAPP(c_Set_Oinsert(_u596), _u597), _u599)) | ( _u598 = _u599) )).
% 43.37/43.62 cnf(matrix-1241, plain, ( hBOOL(hAPP(hAPP(c_member(_u596), _u597), _u598)) | hBOOL(hAPP(hAPP(c_member(_u596), _u597), _u599)) | ( _u598 != _u599) | ( hAPP(hAPP(c_Set_Oinsert(_u596), _u597), _u598) = hAPP(hAPP(c_Set_Oinsert(_u596), _u597), _u599)) )).
% 43.37/43.62 cnf(matrix-1242, plain, ( ( _u600 != c_Orderings_Obot__class_Obot(tc_fun(_u601, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u601), _u602), _u600)) )).
% 43.37/43.62 cnf(matrix-1243, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u603), _u604), _u605)) | hBOOL(hAPP(hAPP(c_member(_u603), _u604), hAPP(hAPP(c_Set_Oinsert(_u603), _u606), _u605))) )).
% 43.37/43.62 cnf(matrix-1244, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u607), _u608), _u609)) | ( hAPP(hAPP(c_Set_Oinsert(_u607), _u608), _u609) = _u609) )).
% 43.37/43.62 cnf(matrix-1245, plain, ( ( _u610 != _u611) | ~hBOOL(hAPP(hAPP(c_member(_u612), _u613), _u610)) | hBOOL(hAPP(hAPP(c_member(_u612), _u613), _u611)) )).
% 43.37/43.62 cnf(matrix-1246, plain, ( ( _u610 != _u611) | ~hBOOL(hAPP(hAPP(c_member(_u612), _u613), _u611)) | hBOOL(hAPP(hAPP(c_member(_u612), _u613), _u610)) )).
% 43.37/43.62 cnf(matrix-1247, plain, ( ( _u614 != _u615) | ~hBOOL(hAPP(hAPP(c_member(_u616), _u614), _u617)) | hBOOL(hAPP(hAPP(c_member(_u616), _u615), _u617)) )).
% 43.37/43.62 cnf(matrix-1248, plain, ( ( _u614 != _u615) | ~hBOOL(hAPP(hAPP(c_member(_u616), _u615), _u617)) | hBOOL(hAPP(hAPP(c_member(_u616), _u614), _u617)) )).
% 43.37/43.62 cnf(matrix-1249, plain, ( ( _u618 != _u619) | ~hBOOL(hAPP(hAPP(c_member(_u620), _u619), _u621)) | hBOOL(hAPP(hAPP(c_member(_u620), _u618), _u621)) )).
% 43.37/43.62 cnf(matrix-1250, plain, ( ( _u623 = _u624) | ~hBOOL(hAPP(hAPP(c_member(_u622), _u623), hAPP(hAPP(c_Set_Oinsert(_u622), _u624), c_Orderings_Obot__class_Obot(tc_fun(_u622, tc_HOL_Obool))))) )).
% 43.37/43.62 cnf(matrix-1251, plain, ( ( _u626 = _u627) | ( hAPP(hAPP(c_Set_Oinsert(_u625), _u626), c_Orderings_Obot__class_Obot(tc_fun(_u625, tc_HOL_Obool))) != hAPP(hAPP(c_Set_Oinsert(_u625), _u627), c_Orderings_Obot__class_Obot(tc_fun(_u625, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1252, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u628), _u629), _u630)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u628), _u629), _u631)) | ( _u631 = _u630) )).
% 43.37/43.62 cnf(matrix-1253, plain, ( ~c_Hoare__Mirabelle_Otriple__valid(_u632, hAPP(c_Nat_OSuc, _u633), _u634) | c_Hoare__Mirabelle_Otriple__valid(_u632, _u633, _u634) )).
% 43.37/43.62 cnf(matrix-1254, plain, ( ~class_Enum_Oenum(_u637) | ~hBOOL(hAPP(_u638, skolem12(_u638, _u637))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u637), _u638)) )).
% 43.37/43.62 cnf(matrix-1255, plain, ( ~class_Enum_Oenum(_u637) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u637), _u638)) | hBOOL(hAPP(_u638, _u636)) )).
% 43.37/43.62 cnf(matrix-1256, plain, ( ~class_Enum_Oenum(_u641) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u641), _u642)) | hBOOL(hAPP(_u642, _u639)) )).
% 43.37/43.62 cnf(matrix-1257, plain, ( ~class_Enum_Oenum(_u641) | ~hBOOL(hAPP(_u642, skolem13(_u642, _u641))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u641), _u642)) )).
% 43.37/43.62 cnf(matrix-1258, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u643), _u644), _u645)) | ( hAPP(c_Set_Oimage(_u643, _u646, hAPP(c_COMBK(_u646, _u643), _u647)), _u645) = hAPP(hAPP(c_Set_Oinsert(_u646), _u647), c_Orderings_Obot__class_Obot(tc_fun(_u646, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1259, plain, ( hBOOL(hAPP(hAPP(c_member(_u648), _u649), _u650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u650), hAPP(hAPP(c_Set_Oinsert(_u648), _u649), _u651))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u650), _u651)) )).
% 43.37/43.62 cnf(matrix-1260, plain, ( hBOOL(hAPP(hAPP(c_member(_u648), _u649), _u650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u650), _u651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u648, tc_HOL_Obool)), _u650), hAPP(hAPP(c_Set_Oinsert(_u648), _u649), _u651))) )).
% 43.37/43.62 cnf(matrix-1261, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u656, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u656), _u658), _u660)), _u662)) | hBOOL(hAPP(hAPP(c_member(_u656), _u658), _u662)) )).
% 43.37/43.62 cnf(matrix-1262, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u656, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u656), _u658), _u660)), _u662)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u656, tc_HOL_Obool)), _u660), _u662)) )).
% 43.37/43.62 cnf(matrix-1263, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u657), _u659), _u663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u657, tc_HOL_Obool)), _u661), _u663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u657, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u657), _u659), _u661)), _u663)) )).
% 43.37/43.62 cnf(matrix-1264, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u664), _u665), _u666)) | ( hAPP(hAPP(c_Set_Oinsert(_u667), hAPP(_u668, _u665)), hAPP(c_Set_Oimage(_u664, _u667, _u668), _u666)) = hAPP(c_Set_Oimage(_u664, _u667, _u668), _u666)) )).
% 43.37/43.62 cnf(matrix-1265, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u669, tc_HOL_Obool)), _u670), hAPP(hAPP(c_Set_Oinsert(_u669), _u671), c_Orderings_Obot__class_Obot(tc_fun(_u669, tc_HOL_Obool))))) | ( _u670 = c_Orderings_Obot__class_Obot(tc_fun(_u669, tc_HOL_Obool))) | ( _u670 = hAPP(hAPP(c_Set_Oinsert(_u669), _u671), c_Orderings_Obot__class_Obot(tc_fun(_u669, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1266, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u672), _u673), _u674) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u672, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u672), _u673), c_Orderings_Obot__class_Obot(tc_fun(_u672, tc_HOL_Obool)))), _u674)) )).
% 43.37/43.62 cnf(matrix-1267, plain, ( ( _u680 = _u682) | ( hAPP(hAPP(c_COMBC(_u678, tc_fun(_u678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u678)), _u680) != hAPP(hAPP(c_COMBC(_u678, tc_fun(_u678, tc_HOL_Obool), tc_HOL_Obool), c_member(_u678)), _u682)) )).
% 43.37/43.62 cnf(matrix-1268, plain, ( ( _u681 != _u683) | ( hAPP(hAPP(c_COMBC(_u679, tc_fun(_u679, tc_HOL_Obool), tc_HOL_Obool), c_member(_u679)), _u681) = hAPP(hAPP(c_COMBC(_u679, tc_fun(_u679, tc_HOL_Obool), tc_HOL_Obool), c_member(_u679)), _u683)) )).
% 43.37/43.62 cnf(matrix-1269, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u684, _u685, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u684)), _u686), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u684), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u684, _u685, _u687) | c_Hoare__Mirabelle_Ohoare__derivs(_u684, _u685, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u684)), _u686), _u687)) )).
% 43.37/43.62 cnf(matrix-1270, plain, ( ( _u692 != c_Orderings_Obot__class_Obot(tc_fun(_u694, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u694, _u696, hAPP(c_COMBK(_u696, _u694), _u698)), _u692) = c_Orderings_Obot__class_Obot(tc_fun(_u696, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1271, plain, ( ( _u693 = c_Orderings_Obot__class_Obot(tc_fun(_u695, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u695, _u697, hAPP(c_COMBK(_u697, _u695), _u699)), _u693) = hAPP(hAPP(c_Set_Oinsert(_u697), _u699), c_Orderings_Obot__class_Obot(tc_fun(_u697, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1272, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u700, tc_HOL_Obool)), _u701), hAPP(hAPP(c_Set_Oinsert(_u700), _u702), _u701))) )).
% 43.37/43.62 cnf(matrix-1273, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u703, tc_HOL_Obool)), _u704), _u705)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u703, tc_HOL_Obool)), _u704), hAPP(hAPP(c_Set_Oinsert(_u703), _u706), _u705))) )).
% 43.37/43.62 cnf(matrix-1274, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u707, tc_HOL_Obool)), _u708), _u709)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u707, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u707), _u710), _u708)), hAPP(hAPP(c_Set_Oinsert(_u707), _u710), _u709))) )).
% 43.37/43.62 cnf(matrix-1275, plain, ( ( hAPP(c_Set_Oimage(_u711, _u712, _u713), hAPP(hAPP(c_Set_Oinsert(_u711), _u714), _u715)) = hAPP(hAPP(c_Set_Oinsert(_u712), hAPP(_u713, _u714)), hAPP(c_Set_Oimage(_u711, _u712, _u713), _u715))) )).
% 43.37/43.62 cnf(matrix-1276, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u716, tc_HOL_Obool)), _u717), hAPP(hAPP(c_Set_Oinsert(_u716), _u718), _u719)) = hAPP(hAPP(c_Set_Oinsert(_u716), _u718), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u716, tc_HOL_Obool)), _u717), _u719))) )).
% 43.37/43.62 cnf(matrix-1277, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u720, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u720), _u721), _u722)), _u723) = hAPP(hAPP(c_Set_Oinsert(_u720), _u721), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u720, tc_HOL_Obool)), _u722), _u723))) )).
% 43.37/43.62 cnf(matrix-1278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u724, tc_HOL_Obool)), _u725), _u726)) | ~hBOOL(hAPP(hAPP(c_member(_u724), _u727), _u725)) | hBOOL(hAPP(hAPP(c_member(_u724), _u727), _u726)) )).
% 43.37/43.62 cnf(matrix-1279, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u728), _u729), _u730)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u728, tc_HOL_Obool)), _u730), _u731)) | hBOOL(hAPP(hAPP(c_member(_u728), _u729), _u731)) )).
% 43.37/43.62 cnf(matrix-1280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u732, tc_HOL_Obool)), _u733), _u734)) | ~hBOOL(hAPP(hAPP(c_member(_u732), _u735), _u733)) | hBOOL(hAPP(hAPP(c_member(_u732), _u735), _u734)) )).
% 43.37/43.62 cnf(matrix-1281, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u743), _u745), hAPP(c_Set_Oimage(_u747, _u743, _u749), _u751))) | hBOOL(hAPP(hAPP(c_member(_u747), skolem14(_u751, _u749, _u747, _u745)), _u751)) )).
% 43.37/43.62 cnf(matrix-1282, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u743), _u745), hAPP(c_Set_Oimage(_u747, _u743, _u749), _u751))) | ( _u745 = hAPP(_u749, skolem14(_u751, _u749, _u747, _u745))) )).
% 43.37/43.62 cnf(matrix-1283, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u748), _u737), _u752)) | ( _u746 != hAPP(_u750, _u737)) | hBOOL(hAPP(hAPP(c_member(_u744), _u746), hAPP(c_Set_Oimage(_u748, _u744, _u750), _u752))) )).
% 43.37/43.62 cnf(matrix-1284, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u753), _u754), _u755)) | hBOOL(hAPP(hAPP(c_member(_u756), hAPP(_u757, _u754)), hAPP(c_Set_Oimage(_u753, _u756, _u757), _u755))) )).
% 43.37/43.62 cnf(matrix-1285, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u758), _u759), _u760)) | ( _u761 != hAPP(_u762, _u759)) | hBOOL(hAPP(hAPP(c_member(_u763), _u761), hAPP(c_Set_Oimage(_u758, _u763, _u762), _u760))) )).
% 43.37/43.62 cnf(matrix-1286, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u768), _u770), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u768, tc_HOL_Obool)), _u772), _u774))) | hBOOL(hAPP(hAPP(c_member(_u768), _u770), _u772)) | hBOOL(hAPP(hAPP(c_member(_u768), _u770), _u774)) )).
% 43.37/43.62 cnf(matrix-1287, plain, ( hBOOL(hAPP(hAPP(c_member(_u769), _u771), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u769, tc_HOL_Obool)), _u773), _u775))) | ~hBOOL(hAPP(hAPP(c_member(_u769), _u771), _u773)) )).
% 43.37/43.62 cnf(matrix-1288, plain, ( hBOOL(hAPP(hAPP(c_member(_u769), _u771), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u769, tc_HOL_Obool)), _u773), _u775))) | ~hBOOL(hAPP(hAPP(c_member(_u769), _u771), _u775)) )).
% 43.37/43.62 cnf(matrix-1289, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u776), _u777), _u778)) | hBOOL(hAPP(hAPP(c_member(_u776), _u777), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u776, tc_HOL_Obool)), _u778), _u779))) )).
% 43.37/43.62 cnf(matrix-1290, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u780), _u781), _u782)) | hBOOL(hAPP(hAPP(c_member(_u780), _u781), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u780, tc_HOL_Obool)), _u783), _u782))) )).
% 43.37/43.62 cnf(matrix-1291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u786, tc_HOL_Obool)), _u788), c_Orderings_Obot__class_Obot(tc_fun(_u786, tc_HOL_Obool)))) | ( _u788 = c_Orderings_Obot__class_Obot(tc_fun(_u786, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1292, plain, ( ( _u789 != c_Orderings_Obot__class_Obot(tc_fun(_u787, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u787, tc_HOL_Obool)), _u789), c_Orderings_Obot__class_Obot(tc_fun(_u787, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1293, plain, ( ( _u800 = c_Orderings_Obot__class_Obot(tc_fun(_u796, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u794, tc_HOL_Obool)) != hAPP(c_Set_Oimage(_u796, _u794, _u798), _u800)) )).
% 43.37/43.62 cnf(matrix-1294, plain, ( ( _u801 != c_Orderings_Obot__class_Obot(tc_fun(_u797, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u795, tc_HOL_Obool)) = hAPP(c_Set_Oimage(_u797, _u795, _u799), _u801)) )).
% 43.37/43.62 cnf(matrix-1295, plain, ( ( hAPP(c_Set_Oimage(_u802, _u803, _u804), c_Orderings_Obot__class_Obot(tc_fun(_u802, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u803, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1296, plain, ( ( hAPP(c_Set_Oimage(_u809, _u811, _u813), _u815) != c_Orderings_Obot__class_Obot(tc_fun(_u811, tc_HOL_Obool))) | ( _u815 = c_Orderings_Obot__class_Obot(tc_fun(_u809, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1297, plain, ( ( _u816 != c_Orderings_Obot__class_Obot(tc_fun(_u810, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u810, _u812, _u814), _u816) = c_Orderings_Obot__class_Obot(tc_fun(_u812, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1298, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u817, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u817, tc_HOL_Obool))), _u818) = _u818) )).
% 43.37/43.62 cnf(matrix-1299, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u819, tc_HOL_Obool)), _u820), c_Orderings_Obot__class_Obot(tc_fun(_u819, tc_HOL_Obool))) = _u820) )).
% 43.37/43.62 cnf(matrix-1300, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u824, tc_HOL_Obool)), _u826), _u828) != c_Orderings_Obot__class_Obot(tc_fun(_u824, tc_HOL_Obool))) | ( _u826 = c_Orderings_Obot__class_Obot(tc_fun(_u824, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1301, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u824, tc_HOL_Obool)), _u826), _u828) != c_Orderings_Obot__class_Obot(tc_fun(_u824, tc_HOL_Obool))) | ( _u828 = c_Orderings_Obot__class_Obot(tc_fun(_u824, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1302, plain, ( ( _u827 != c_Orderings_Obot__class_Obot(tc_fun(_u825, tc_HOL_Obool))) | ( _u829 != c_Orderings_Obot__class_Obot(tc_fun(_u825, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u825, tc_HOL_Obool)), _u827), _u829) = c_Orderings_Obot__class_Obot(tc_fun(_u825, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1303, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u830, _u831, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u830), tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1304, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u832, _u833, c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u832), tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1305, plain, ( ~class_Orderings_Oorder(_u834) | ~class_Orderings_Oorder(_u835) | ~c_Orderings_Oorder__class_Omono(_u835, _u834, _u836) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u835), _u837), _u838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u834), hAPP(_u836, _u837)), hAPP(_u836, _u838))) )).
% 43.37/43.62 cnf(matrix-1306, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u842, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u842, tc_fun(_u842, tc_HOL_Obool), tc_HOL_Obool), c_member(_u842)), _u844)), hAPP(hAPP(c_COMBC(_u842, tc_fun(_u842, tc_HOL_Obool), tc_HOL_Obool), c_member(_u842)), _u846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u842, tc_HOL_Obool)), _u844), _u846)) )).
% 43.37/43.62 cnf(matrix-1307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u843, tc_HOL_Obool)), _u845), _u847)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u843, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u843, tc_fun(_u843, tc_HOL_Obool), tc_HOL_Obool), c_member(_u843)), _u845)), hAPP(hAPP(c_COMBC(_u843, tc_fun(_u843, tc_HOL_Obool), tc_HOL_Obool), c_member(_u843)), _u847))) )).
% 43.37/43.62 cnf(matrix-1308, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u852, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u852, tc_fun(_u852, tc_HOL_Obool), tc_HOL_Obool), c_member(_u852)), _u854)), hAPP(hAPP(c_COMBC(_u852, tc_fun(_u852, tc_HOL_Obool), tc_HOL_Obool), c_member(_u852)), _u856)), _u858)) | hBOOL(hAPP(hAPP(c_member(_u852), _u858), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u852, tc_HOL_Obool)), _u854), _u856))) )).
% 43.37/43.62 cnf(matrix-1309, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u853), _u859), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), _u855), _u857))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u853, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u853, tc_fun(_u853, tc_HOL_Obool), tc_HOL_Obool), c_member(_u853)), _u855)), hAPP(hAPP(c_COMBC(_u853, tc_fun(_u853, tc_HOL_Obool), tc_HOL_Obool), c_member(_u853)), _u857)), _u859)) )).
% 43.37/43.62 cnf(matrix-1310, plain, ( ~class_Orderings_Obot(_u860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u860), c_Orderings_Obot__class_Obot(_u860)), _u861)) )).
% 43.37/43.62 cnf(matrix-1311, plain, ( ~class_Lattices_Obounded__lattice__bot(_u862) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u862), c_Orderings_Obot__class_Obot(_u862)), _u863) = _u863) )).
% 43.37/43.62 cnf(matrix-1312, plain, ( ~class_Lattices_Obounded__lattice__bot(_u864) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u864), _u865), c_Orderings_Obot__class_Obot(_u864)) = _u865) )).
% 43.37/43.62 cnf(matrix-1313, plain, ( ~class_Lattices_Obounded__lattice__bot(_u866) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u866), _u867), _u868) != c_Orderings_Obot__class_Obot(_u866)) | ( _u867 = c_Orderings_Obot__class_Obot(_u866)) )).
% 43.37/43.62 cnf(matrix-1314, plain, ( ~class_Lattices_Obounded__lattice__bot(_u866) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u866), _u867), _u868) != c_Orderings_Obot__class_Obot(_u866)) | ( _u868 = c_Orderings_Obot__class_Obot(_u866)) )).
% 43.37/43.62 cnf(matrix-1315, plain, ( ~class_Lattices_Obounded__lattice__bot(_u866) | ( _u867 != c_Orderings_Obot__class_Obot(_u866)) | ( _u868 != c_Orderings_Obot__class_Obot(_u866)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u866), _u867), _u868) = c_Orderings_Obot__class_Obot(_u866)) )).
% 43.37/43.62 cnf(matrix-1316, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u869, tc_HOL_Obool), tc_fun(_u870, tc_HOL_Obool), _u871) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u870, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u870, tc_HOL_Obool)), hAPP(_u871, _u872)), hAPP(_u871, _u873))), hAPP(_u871, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u869, tc_HOL_Obool)), _u872), _u873)))) )).
% 43.37/43.62 cnf(matrix-1317, plain, ( ( c_Hoare__Mirabelle_OMGT(_u874) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate), c_fequal), _u874), c_Natural_Oevalc(_u874))) )).
% 43.37/43.62 cnf(matrix-1318, plain, ( ( c_Set_Othe__elem(_u875, hAPP(hAPP(c_Set_Oinsert(_u875), _u876), c_Orderings_Obot__class_Obot(tc_fun(_u875, tc_HOL_Obool)))) = _u876) )).
% 43.37/43.62 cnf(matrix-1319, plain, ( ~class_Orderings_Oorder(_u879) | ~class_Orderings_Oorder(_u880) | ~c_Orderings_Oorder__class_Omono(_u880, _u879, _u881) | ( c_Orderings_Oord__class_OLeast(_u879, hAPP(hAPP(c_COMBC(_u879, tc_fun(_u879, tc_HOL_Obool), tc_HOL_Obool), c_member(_u879)), hAPP(c_Set_Oimage(_u880, _u879, _u881), _u882))) = hAPP(_u881, c_Orderings_Oord__class_OLeast(_u880, hAPP(hAPP(c_COMBC(_u880, tc_fun(_u880, tc_HOL_Obool), tc_HOL_Obool), c_member(_u880)), _u882)))) | ~hBOOL(hAPP(hAPP(c_member(_u880), _u878), _u882)) | hBOOL(hAPP(hAPP(c_member(_u880), skolem15(_u882, _u881, _u880, _u879, _u878)), _u882)) )).
% 43.37/43.62 cnf(matrix-1320, plain, ( ~class_Orderings_Oorder(_u879) | ~class_Orderings_Oorder(_u880) | ~c_Orderings_Oorder__class_Omono(_u880, _u879, _u881) | ( c_Orderings_Oord__class_OLeast(_u879, hAPP(hAPP(c_COMBC(_u879, tc_fun(_u879, tc_HOL_Obool), tc_HOL_Obool), c_member(_u879)), hAPP(c_Set_Oimage(_u880, _u879, _u881), _u882))) = hAPP(_u881, c_Orderings_Oord__class_OLeast(_u880, hAPP(hAPP(c_COMBC(_u880, tc_fun(_u880, tc_HOL_Obool), tc_HOL_Obool), c_member(_u880)), _u882)))) | ~hBOOL(hAPP(hAPP(c_member(_u880), _u878), _u882)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u880), _u878), skolem15(_u882, _u881, _u880, _u879, _u878))) )).
% 43.37/43.62 cnf(matrix-1321, plain, ( ~class_Orderings_Oorder(_u885) | ~c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u885, _u886) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u885), hAPP(_u886, _u883)), hAPP(_u886, hAPP(c_Nat_OSuc, _u883)))) )).
% 43.37/43.62 cnf(matrix-1322, plain, ( ~class_Orderings_Oorder(_u885) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u885), hAPP(_u886, skolem16(_u886, _u885))), hAPP(_u886, hAPP(c_Nat_OSuc, skolem16(_u886, _u885))))) | c_Orderings_Oorder__class_Omono(tc_Nat_Onat, _u885, _u886) )).
% 43.37/43.62 cnf(matrix-1323, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u890, _u891, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u890)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u890), _u889), _u892), _u893)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u890), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u889, skolem17(_u893, _u892, _u891, _u890, _u889)), skolem18(_u893, _u892, _u891, _u890, _u889))) )).
% 43.37/43.62 cnf(matrix-1324, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u890, _u891, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u890)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u890), _u889), _u892), _u893)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u890), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u890, _u891, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u890)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u890), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u890), hAPP(hAPP(c_COMBC(tc_Com_Ostate, tc_Com_Ostate, tc_HOL_Obool), c_fequal), skolem18(_u893, _u892, _u891, _u890, _u889)))), _u892), hAPP(c_COMBK(tc_fun(tc_Com_Ostate, tc_HOL_Obool), _u890), hAPP(_u893, skolem17(_u893, _u892, _u891, _u890, _u889))))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u890), tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1325, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u894, _u895, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u894)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u894), _u896), c_Com_Ocom_OSKIP), _u896)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u894), tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1326, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u897, _u898, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u897)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u897), _u899), c_Com_Ocom_OSKIP), _u899)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u897), tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1327, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u902, _u903, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u902)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u902), _u904), _u905), _u906)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u902), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u902, _u903, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u902)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u902), _u904), _u905), _u907)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u902), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u906, skolem19(_u907, _u906, _u905, _u904, _u903, _u902)), skolem20(_u907, _u906, _u905, _u904, _u903, _u902))) )).
% 43.37/43.62 cnf(matrix-1328, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u902, _u903, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u902)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u902), _u904), _u905), _u906)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u902), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u902, _u903, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u902)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u902), _u904), _u905), _u907)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u902), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u907, skolem19(_u907, _u906, _u905, _u904, _u903, _u902)), skolem20(_u907, _u906, _u905, _u904, _u903, _u902))) )).
% 43.37/43.62 cnf(matrix-1329, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u910, _u911, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u910)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u910), _u912), _u913), _u914)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u910), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u910, _u911, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u910)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u910), _u915), _u913), _u914)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u910), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(_u915, skolem21(_u915, _u914, _u913, _u912, _u911, _u910)), skolem22(_u915, _u914, _u913, _u912, _u911, _u910))) )).
% 43.37/43.62 cnf(matrix-1330, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u910, _u911, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u910)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u910), _u912), _u913), _u914)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u910), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u910, _u911, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u910)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u910), _u915), _u913), _u914)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u910), tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(_u912, skolem21(_u915, _u914, _u913, _u912, _u911, _u910)), skolem22(_u915, _u914, _u913, _u912, _u911, _u910))) )).
% 43.37/43.62 cnf(matrix-1331, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u916, _u917, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u916)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u916), _u918), _u919), _u920)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u916), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u916, _u917, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u916)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u916), _u920), _u921), _u922)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u916), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u916, _u917, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u916)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u916), _u918), c_Com_Ocom_OSemi(_u919, _u921)), _u922)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u916), tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1332, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u923), _u924), _u925)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u926), _u925), _u927)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u923, _u926)), _u924), _u927)) )).
% 43.37/43.62 cnf(matrix-1333, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u928), _u928)) )).
% 43.37/43.62 cnf(matrix-1334, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u929), _u930)) | ( _u930 = _u929) )).
% 43.37/43.62 cnf(matrix-1335, plain, ( ( c_Com_Ocom_OSemi(_u935, _u937) != c_Com_Ocom_OSemi(_u939, _u941)) | ( _u935 = _u939) )).
% 43.37/43.62 cnf(matrix-1336, plain, ( ( c_Com_Ocom_OSemi(_u935, _u937) != c_Com_Ocom_OSemi(_u939, _u941)) | ( _u937 = _u941) )).
% 43.37/43.62 cnf(matrix-1337, plain, ( ( _u936 != _u940) | ( _u938 != _u942) | ( c_Com_Ocom_OSemi(_u936, _u938) = c_Com_Ocom_OSemi(_u940, _u942)) )).
% 43.37/43.62 cnf(matrix-1338, plain, ( ( c_Com_Ocom_OSemi(_u943, _u944) != c_Com_Ocom_OSKIP) )).
% 43.37/43.62 cnf(matrix-1339, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(_u945, _u946)) )).
% 43.37/43.62 cnf(matrix-1340, plain, ( ~class_Orderings_Owellorder(_u948) | ~hBOOL(hAPP(_u949, _u947)) | hBOOL(hAPP(_u949, c_Orderings_Oord__class_OLeast(_u948, _u949))) )).
% 43.37/43.62 cnf(matrix-1341, plain, ( ~class_Orderings_Owellorder(_u950) | ~hBOOL(hAPP(_u951, _u952)) | hBOOL(hAPP(_u951, c_Orderings_Oord__class_OLeast(_u950, _u951))) )).
% 43.37/43.62 cnf(matrix-1342, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u959, _u961)), _u963), _u965)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u959), _u963), skolem23(_u965, _u963, _u961, _u959))) )).
% 43.37/43.62 cnf(matrix-1343, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u959, _u961)), _u963), _u965)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u961), skolem23(_u965, _u963, _u961, _u959)), _u965)) )).
% 43.37/43.62 cnf(matrix-1344, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u960), _u964), _u954)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u962), _u954), _u966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(_u960, _u962)), _u964), _u966)) )).
% 43.37/43.62 cnf(matrix-1345, plain, ( ( c_Com_Ocom_OSemi(_u967, _u968) != hAPP(c_Com_Ocom_OBODY, _u969)) )).
% 43.37/43.62 cnf(matrix-1346, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u970) != c_Com_Ocom_OSemi(_u971, _u972)) )).
% 43.37/43.62 cnf(matrix-1347, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP), _u973), _u973)) )).
% 43.37/43.62 cnf(matrix-1348, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u974) != c_Com_Ocom_OSKIP) )).
% 43.37/43.62 cnf(matrix-1349, plain, ( ( c_Com_Ocom_OSKIP != hAPP(c_Com_Ocom_OBODY, _u975)) )).
% 43.37/43.62 cnf(matrix-1350, plain, ( ~class_Orderings_Owellorder(_u976) | ~hBOOL(hAPP(_u977, _u978)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u976), c_Orderings_Oord__class_OLeast(_u976, _u977)), _u978)) )).
% 43.37/43.62 cnf(matrix-1351, plain, ( c_Orderings_Oorder__class_Omono(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc) )).
% 43.37/43.62 cnf(matrix-1352, plain, ( ( _u979 != hAPP(c_Nat_OSuc, _u979)) )).
% 43.37/43.62 cnf(matrix-1353, plain, ( ( hAPP(c_Nat_OSuc, _u980) != _u980) )).
% 43.37/43.62 cnf(matrix-1354, plain, ( ( hAPP(c_Nat_OSuc, _u983) != hAPP(c_Nat_OSuc, _u985)) | ( _u983 = _u985) )).
% 43.37/43.62 cnf(matrix-1355, plain, ( ( _u984 != _u986) | ( hAPP(c_Nat_OSuc, _u984) = hAPP(c_Nat_OSuc, _u986)) )).
% 43.37/43.62 cnf(matrix-1356, plain, ( ( hAPP(c_Nat_OSuc, _u987) != hAPP(c_Nat_OSuc, _u988)) | ( _u987 = _u988) )).
% 43.37/43.62 cnf(matrix-1357, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u989)), _u990)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u989), _u990)) )).
% 43.37/43.62 cnf(matrix-1358, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u991), hAPP(c_Nat_OSuc, _u992))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u991), _u992)) | ( _u991 = hAPP(c_Nat_OSuc, _u992)) )).
% 43.37/43.62 cnf(matrix-1359, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u993), _u994)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u993), hAPP(c_Nat_OSuc, _u994))) )).
% 43.37/43.62 cnf(matrix-1360, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u997)), hAPP(c_Nat_OSuc, _u999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u997), _u999)) )).
% 43.37/43.62 cnf(matrix-1361, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u998), _u1000)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u998)), hAPP(c_Nat_OSuc, _u1000))) )).
% 43.37/43.62 cnf(matrix-1362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1003), hAPP(c_Nat_OSuc, _u1005))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1003), _u1005)) | ( _u1003 = hAPP(c_Nat_OSuc, _u1005)) )).
% 43.37/43.62 cnf(matrix-1363, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1004), hAPP(c_Nat_OSuc, _u1006))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1004), _u1006)) )).
% 43.37/43.62 cnf(matrix-1364, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1004), hAPP(c_Nat_OSuc, _u1006))) | ( _u1004 != hAPP(c_Nat_OSuc, _u1006)) )).
% 43.37/43.62 cnf(matrix-1365, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1009), _u1011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1011)), _u1009)) )).
% 43.37/43.62 cnf(matrix-1366, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1012)), _u1010)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1010), _u1012)) )).
% 43.37/43.62 cnf(matrix-1367, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1013)), _u1013)) )).
% 43.37/43.62 cnf(matrix-1368, plain, ( ~class_Orderings_Oorder(_u1014) | ~c_Orderings_Oorder__class_Omono(_u1014, tc_fun(_u1015, tc_HOL_Obool), _u1016) | c_Orderings_Oorder__class_Omono(_u1014, tc_fun(_u1015, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u1014, tc_fun(_u1015, tc_HOL_Obool), tc_fun(_u1015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1015, tc_HOL_Obool), tc_fun(tc_fun(_u1015, tc_HOL_Obool), tc_fun(_u1015, tc_HOL_Obool)), _u1014), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1015, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u1014, tc_fun(_u1015, tc_HOL_Obool), tc_fun(_u1015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1015, tc_HOL_Obool), tc_fun(tc_fun(_u1015, tc_HOL_Obool), tc_fun(_u1015, tc_HOL_Obool)), _u1014), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1015, tc_HOL_Obool))), _u1016)), _u1017))), _u1018)) )).
% 43.37/43.62 cnf(matrix-1369, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1019)), _u1020, _u1021, _u1022) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1019), _u1020, hAPP(c_Nat_OSuc, _u1021), _u1022) )).
% 43.37/43.62 cnf(matrix-1370, plain, ( ( c_Set_Othe__elem(_u1023, _u1024) = c_HOL_OThe(_u1023, hAPP(hAPP(c_COMBB(tc_fun(_u1023, tc_HOL_Obool), tc_HOL_Obool, _u1023), hAPP(c_fequal, _u1024)), hAPP(hAPP(c_COMBC(_u1023, tc_fun(_u1023, tc_HOL_Obool), tc_fun(_u1023, tc_HOL_Obool)), c_Set_Oinsert(_u1023)), c_Orderings_Obot__class_Obot(tc_fun(_u1023, tc_HOL_Obool)))))) )).
% 43.37/43.62 cnf(matrix-1371, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(_u1025, _u1026, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u1025)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1025), hAPP(hAPP(c_COMBC(_u1025, tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_HOL_Obool)), _u1025), c_COMBS(tc_Com_Ostate, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate, tc_HOL_Obool), tc_fun(tc_Com_Ostate, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u1025), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Com_Ostate), c_fconj)), _u1027))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate), c_fNot), _u1028))), c_Com_Ocom_OWhile(_u1028, _u1029)), _u1027)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u1025), tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1372, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1034), _u1036, hAPP(c_Nat_OSuc, _u1038), _u1040) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1034)), _u1036, _u1038, _u1040) )).
% 43.37/43.62 cnf(matrix-1373, plain, ( ~c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1035)), _u1037, _u1039, _u1041) | c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1035), _u1037, hAPP(c_Nat_OSuc, _u1039), _u1041) )).
% 43.37/43.62 cnf(matrix-1374, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u1042, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1042), _u1043), hAPP(c_Com_Ocom_OBODY, _u1044)), _u1045)) )).
% 43.37/43.62 cnf(matrix-1375, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1046, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1047, _u1046, _u1048), _u1049)), _u1050)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1046, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_fun(_u1047, tc_HOL_Obool), tc_fun(_u1046, tc_HOL_Obool), c_Set_Oimage(_u1047, _u1046, _u1048)), hAPP(c_Set_OPow(_u1047), _u1049))), hAPP(c_Set_OPow(_u1046), _u1050))) )).
% 43.37/43.62 cnf(matrix-1376, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1057), _u1059), _u1061)) | ( hAPP(c_Fun_Ooverride__on(_u1057, _u1063, _u1065, _u1067, _u1061), _u1059) = hAPP(_u1067, _u1059)) )).
% 43.37/43.62 cnf(matrix-1377, plain, ( hBOOL(hAPP(hAPP(c_member(_u1058), _u1060), _u1062)) | ( hAPP(c_Fun_Ooverride__on(_u1058, _u1064, _u1066, _u1068, _u1062), _u1060) = hAPP(_u1066, _u1060)) )).
% 43.37/43.62 cnf(matrix-1378, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1069, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1069, tc_HOL_Obool)), _u1070), hAPP(hAPP(c_Set_Oinsert(_u1069), _u1071), c_Orderings_Obot__class_Obot(tc_fun(_u1069, tc_HOL_Obool))))), _u1072)) | ~hBOOL(hAPP(hAPP(c_member(_u1069), _u1071), _u1070)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1069, tc_HOL_Obool)), _u1070), hAPP(hAPP(c_Set_Oinsert(_u1069), _u1071), _u1072))) )).
% 43.37/43.62 cnf(matrix-1379, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1077, tc_HOL_Obool)), _u1079), hAPP(hAPP(c_Set_Oinsert(_u1077), _u1081), _u1083))) | ~hBOOL(hAPP(hAPP(c_member(_u1077), _u1081), _u1079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1077, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1077, tc_HOL_Obool)), _u1079), hAPP(hAPP(c_Set_Oinsert(_u1077), _u1081), c_Orderings_Obot__class_Obot(tc_fun(_u1077, tc_HOL_Obool))))), _u1083)) )).
% 43.37/43.62 cnf(matrix-1380, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1077, tc_HOL_Obool)), _u1079), hAPP(hAPP(c_Set_Oinsert(_u1077), _u1081), _u1083))) | hBOOL(hAPP(hAPP(c_member(_u1077), _u1081), _u1079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1077, tc_HOL_Obool)), _u1079), _u1083)) )).
% 43.37/43.62 cnf(matrix-1381, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), _u1084))) | hBOOL(hAPP(hAPP(c_member(_u1078), _u1082), _u1080)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), _u1084)) )).
% 43.37/43.62 cnf(matrix-1382, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), _u1084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool))))), _u1084)) | ~hBOOL(hAPP(hAPP(c_member(_u1078), _u1082), _u1080)) )).
% 43.37/43.62 cnf(matrix-1383, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), _u1084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1078, tc_HOL_Obool)), _u1080), hAPP(hAPP(c_Set_Oinsert(_u1078), _u1082), c_Orderings_Obot__class_Obot(tc_fun(_u1078, tc_HOL_Obool))))), _u1084)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1078, tc_HOL_Obool)), _u1080), _u1084)) )).
% 43.37/43.62 cnf(matrix-1384, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1086), _u1087), hAPP(c_Set_Oimage(_u1088, _u1086, _u1089), _u1090))) | ( _u1087 = hAPP(_u1089, skolem24(_u1090, _u1089, _u1088, _u1087))) )).
% 43.37/43.62 cnf(matrix-1385, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1086), _u1087), hAPP(c_Set_Oimage(_u1088, _u1086, _u1089), _u1090))) | hBOOL(hAPP(hAPP(c_member(_u1088), skolem24(_u1090, _u1089, _u1088, _u1087)), _u1090)) )).
% 43.37/43.62 cnf(matrix-1386, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1091), _u1092), _u1093)) | hBOOL(hAPP(hAPP(c_member(_u1091), _u1092), _u1094)) | hBOOL(hAPP(hAPP(c_member(_u1091), _u1092), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1091, tc_HOL_Obool)), _u1093), _u1094))) )).
% 43.37/43.62 cnf(matrix-1387, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1095), _u1096), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1095, tc_HOL_Obool)), _u1097), _u1098))) | hBOOL(hAPP(hAPP(c_member(_u1095), _u1096), _u1097)) )).
% 43.37/43.62 cnf(matrix-1388, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1095), _u1096), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1095, tc_HOL_Obool)), _u1097), _u1098))) | ~hBOOL(hAPP(hAPP(c_member(_u1095), _u1096), _u1098)) )).
% 43.37/43.62 cnf(matrix-1389, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1099)) )).
% 43.37/43.62 cnf(matrix-1390, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1100, tc_HOL_Obool)), _u1101), _u1102)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1100, tc_HOL_Obool)), _u1101), hAPP(c_Set_OPow(_u1100), _u1102))) )).
% 43.37/43.62 cnf(matrix-1391, plain, ( hBOOL(hAPP(_u1103, _u1104)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1103, _u1105), _u1104, _u1106, _u1104) )).
% 43.37/43.62 cnf(matrix-1392, plain, ( ~hBOOL(hAPP(_u1107, _u1108)) | ~c_Natural_Oevaln(_u1109, _u1108, _u1110, _u1111) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1107, _u1109), _u1111, _u1110, _u1112) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1107, _u1109), _u1108, _u1110, _u1112) )).
% 43.37/43.62 cnf(matrix-1393, plain, ( ~hBOOL(hAPP(_u1113, _u1114)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1115), _u1114), _u1116)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1113, _u1115)), _u1116), _u1117)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1113, _u1115)), _u1114), _u1117)) )).
% 43.37/43.62 cnf(matrix-1394, plain, ( hBOOL(hAPP(_u1118, _u1119)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1118, _u1120)), _u1119), _u1119)) )).
% 43.37/43.62 cnf(matrix-1395, plain, ( ~c_Natural_Oevaln(_u1121, _u1122, _u1123, _u1124) | ~c_Natural_Oevaln(_u1125, _u1124, _u1123, _u1126) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1121, _u1125), _u1122, _u1123, _u1126) )).
% 43.37/43.62 cnf(matrix-1396, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u1127, _u1128, _u1127) )).
% 43.37/43.62 cnf(matrix-1397, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u1129, _u1130, _u1131) | ( _u1131 = _u1129) )).
% 43.37/43.62 cnf(matrix-1398, plain, ( ( hAPP(c_Set_OPow(_u1132), _u1133) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1132, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1399, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1134), _u1134)) )).
% 43.37/43.62 cnf(matrix-1400, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1135, tc_HOL_Obool)), _u1136), hAPP(c_Set_OPow(_u1135), _u1136))) )).
% 43.37/43.62 cnf(matrix-1401, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1137)) )).
% 43.37/43.62 cnf(matrix-1402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1139), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u1139 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1403, plain, ( ( _u1140 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1140), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-1404, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1141), _u1142)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1142), _u1141)) )).
% 43.37/43.62 cnf(matrix-1405, plain, ( ( _u1143 != _u1144) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1143), _u1144)) )).
% 43.37/43.62 cnf(matrix-1406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1145), _u1146)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1146), _u1147)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1145), _u1147)) )).
% 43.37/43.62 cnf(matrix-1407, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1148), _u1149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1149), _u1148)) | ( _u1148 = _u1149) )).
% 43.37/43.62 cnf(matrix-1408, plain, ( ( c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1409, plain, ( ~class_Groups_Ominus(_u1150) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1151, _u1150)), _u1152), _u1153), _u1154) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1150), hAPP(_u1152, _u1154)), hAPP(_u1153, _u1154))) )).
% 43.37/43.62 cnf(matrix-1410, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1155, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1155, tc_HOL_Obool)), _u1156), _u1157)), _u1157) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1155, tc_HOL_Obool)), _u1156), _u1157)) )).
% 43.37/43.62 cnf(matrix-1411, plain, ( ~class_Groups_Ominus(_u1158) | ( hAPP(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1159, _u1158)), _u1160), _u1161), _u1162) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1158), hAPP(_u1160, _u1162)), hAPP(_u1161, _u1162))) )).
% 43.37/43.62 cnf(matrix-1412, plain, ( ( c_Com_Ocom_OWhile(_u1167, _u1169) != c_Com_Ocom_OWhile(_u1171, _u1173)) | ( _u1167 = _u1171) )).
% 43.37/43.62 cnf(matrix-1413, plain, ( ( c_Com_Ocom_OWhile(_u1167, _u1169) != c_Com_Ocom_OWhile(_u1171, _u1173)) | ( _u1169 = _u1173) )).
% 43.37/43.62 cnf(matrix-1414, plain, ( ( _u1168 != _u1172) | ( _u1170 != _u1174) | ( c_Com_Ocom_OWhile(_u1168, _u1170) = c_Com_Ocom_OWhile(_u1172, _u1174)) )).
% 43.37/43.62 cnf(matrix-1415, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1181, _u1183), _u1185, _u1187, _u1185) | ~hBOOL(hAPP(_u1181, _u1185)) | c_Natural_Oevaln(_u1183, _u1185, _u1187, skolem25(_u1187, _u1185, _u1183, _u1181)) )).
% 43.37/43.62 cnf(matrix-1416, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1181, _u1183), _u1185, _u1187, _u1185) | ~hBOOL(hAPP(_u1181, _u1185)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1181, _u1183), skolem25(_u1187, _u1185, _u1183, _u1181), _u1187, _u1185) )).
% 43.37/43.62 cnf(matrix-1417, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1182, _u1184), _u1186, _u1188, _u1186) | hBOOL(hAPP(_u1182, _u1186)) )).
% 43.37/43.62 cnf(matrix-1418, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1182, _u1184), _u1186, _u1188, _u1186) | ~c_Natural_Oevaln(_u1184, _u1186, _u1188, _u1176) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1182, _u1184), _u1176, _u1188, _u1186) )).
% 43.37/43.62 cnf(matrix-1419, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ( _u1204 = _u1200) | hBOOL(hAPP(_u1196, _u1200)) )).
% 43.37/43.62 cnf(matrix-1420, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ( _u1204 = _u1200) | c_Natural_Oevaln(_u1198, _u1200, _u1202, skolem26(_u1204, _u1202, _u1200, _u1198, _u1196)) )).
% 43.37/43.62 cnf(matrix-1421, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ( _u1204 = _u1200) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), skolem26(_u1204, _u1202, _u1200, _u1198, _u1196), _u1202, _u1204) )).
% 43.37/43.62 cnf(matrix-1422, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ~hBOOL(hAPP(_u1196, _u1200)) | c_Natural_Oevaln(_u1198, _u1200, _u1202, skolem26(_u1204, _u1202, _u1200, _u1198, _u1196)) )).
% 43.37/43.62 cnf(matrix-1423, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), _u1200, _u1202, _u1204) | ~hBOOL(hAPP(_u1196, _u1200)) | c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1196, _u1198), skolem26(_u1204, _u1202, _u1200, _u1198, _u1196), _u1202, _u1204) )).
% 43.37/43.62 cnf(matrix-1424, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1197, _u1199), _u1201, _u1203, _u1205) | ( _u1205 != _u1201) | hBOOL(hAPP(_u1197, _u1201)) )).
% 43.37/43.62 cnf(matrix-1425, plain, ( c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1197, _u1199), _u1201, _u1203, _u1205) | ~hBOOL(hAPP(_u1197, _u1201)) | ~c_Natural_Oevaln(_u1199, _u1201, _u1203, _u1190) | ~c_Natural_Oevaln(c_Com_Ocom_OWhile(_u1197, _u1199), _u1190, _u1203, _u1205) )).
% 43.37/43.62 cnf(matrix-1426, plain, ( ~c_Natural_Oevaln(_u1206, _u1207, _u1208, _u1209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1208), _u1210)) | c_Natural_Oevaln(_u1206, _u1207, _u1210, _u1209) )).
% 43.37/43.62 cnf(matrix-1427, plain, ( ( hAPP(c_Set_Oimage(_u1212, tc_fun(_u1212, tc_HOL_Obool), _u1211), _u1213) != hAPP(c_Set_OPow(_u1212), _u1213)) )).
% 43.37/43.62 cnf(matrix-1428, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1218), _u1220), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1218, tc_HOL_Obool)), _u1222), _u1224))) | hBOOL(hAPP(hAPP(c_member(_u1218), _u1220), _u1222)) )).
% 43.37/43.62 cnf(matrix-1429, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1218), _u1220), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1218, tc_HOL_Obool)), _u1222), _u1224))) | ~hBOOL(hAPP(hAPP(c_member(_u1218), _u1220), _u1224)) )).
% 43.37/43.62 cnf(matrix-1430, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), _u1223)) | hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), _u1225)) | hBOOL(hAPP(hAPP(c_member(_u1219), _u1221), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1219, tc_HOL_Obool)), _u1223), _u1225))) )).
% 43.37/43.62 cnf(matrix-1431, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1226), _u1227), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1226, tc_HOL_Obool)), _u1228), _u1229))) | hBOOL(hAPP(hAPP(c_member(_u1226), _u1227), _u1228)) )).
% 43.37/43.62 cnf(matrix-1432, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1230), _u1231), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1230, tc_HOL_Obool)), _u1232), _u1233))) | ~hBOOL(hAPP(hAPP(c_member(_u1230), _u1231), _u1233)) )).
% 43.37/43.62 cnf(matrix-1433, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1234, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1234, tc_HOL_Obool))), _u1235) = c_Orderings_Obot__class_Obot(tc_fun(_u1234, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1434, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1236, tc_HOL_Obool)), _u1237), c_Orderings_Obot__class_Obot(tc_fun(_u1236, tc_HOL_Obool))) = _u1237) )).
% 43.37/43.62 cnf(matrix-1435, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1238, tc_HOL_Obool)), _u1239), _u1239) = c_Orderings_Obot__class_Obot(tc_fun(_u1238, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1436, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1240, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1240, tc_HOL_Obool)), _u1241), _u1242)), _u1241)) )).
% 43.37/43.62 cnf(matrix-1437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1243, tc_HOL_Obool)), _u1244), _u1245)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1243, tc_HOL_Obool)), _u1246), _u1247)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1243, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1243, tc_HOL_Obool)), _u1244), _u1247)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1243, tc_HOL_Obool)), _u1245), _u1246))) )).
% 43.37/43.62 cnf(matrix-1438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1248, tc_HOL_Obool)), _u1249), _u1250)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1248, tc_HOL_Obool)), _u1250), _u1251)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1248, tc_HOL_Obool)), _u1250), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1248, tc_HOL_Obool)), _u1251), _u1249)) = _u1249) )).
% 43.37/43.62 cnf(matrix-1439, plain, ( ~c_Natural_Oevaln(_u1252, _u1253, _u1254, _u1255) | c_Natural_Oevaln(_u1252, _u1253, hAPP(c_Nat_OSuc, _u1254), _u1255) )).
% 43.37/43.62 cnf(matrix-1440, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1256, tc_HOL_Obool)), _u1257), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1256, tc_HOL_Obool)), _u1258), _u1257)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1256, tc_HOL_Obool)), _u1257), _u1258)) )).
% 43.37/43.62 cnf(matrix-1441, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1259, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1259, tc_HOL_Obool)), _u1260), _u1261)), _u1261) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1259, tc_HOL_Obool)), _u1260), _u1261)) )).
% 43.37/43.62 cnf(matrix-1442, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1262, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1262, tc_HOL_Obool)), _u1263), _u1264)), _u1265) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1262, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1262, tc_HOL_Obool)), _u1263), _u1265)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1262, tc_HOL_Obool)), _u1264), _u1265))) )).
% 43.37/43.62 cnf(matrix-1443, plain, ( ~c_Natural_Oevaln(_u1266, _u1267, _u1268, _u1269) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1266), _u1267), _u1269)) )).
% 43.37/43.62 cnf(matrix-1444, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1275), _u1277), _u1279)) | c_Natural_Oevaln(_u1275, _u1277, skolem27(_u1279, _u1277, _u1275), _u1279) )).
% 43.37/43.62 cnf(matrix-1445, plain, ( ~c_Natural_Oevaln(_u1276, _u1278, _u1271, _u1280) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1276), _u1278), _u1280)) )).
% 43.37/43.62 cnf(matrix-1446, plain, ( ( hAPP(c_Nat_OSuc, _u1281) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1447, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1282)) )).
% 43.37/43.62 cnf(matrix-1448, plain, ( ( hAPP(c_Nat_OSuc, _u1283) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1449, plain, ( ( hAPP(c_Nat_OSuc, _u1284) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1450, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1285)) )).
% 43.37/43.62 cnf(matrix-1451, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc, _u1286)) )).
% 43.37/43.62 cnf(matrix-1452, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1294, _u1296), _u1298, _u1300, _u1302) | c_Natural_Oevaln(_u1294, _u1298, _u1300, skolem28(_u1302, _u1300, _u1298, _u1296, _u1294)) )).
% 43.37/43.62 cnf(matrix-1453, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1294, _u1296), _u1298, _u1300, _u1302) | c_Natural_Oevaln(_u1296, skolem28(_u1302, _u1300, _u1298, _u1296, _u1294), _u1300, _u1302) )).
% 43.37/43.62 cnf(matrix-1454, plain, ( ~c_Natural_Oevaln(_u1295, _u1299, _u1301, _u1288) | ~c_Natural_Oevaln(_u1297, _u1288, _u1301, _u1303) | c_Natural_Oevaln(c_Com_Ocom_OSemi(_u1295, _u1297), _u1299, _u1301, _u1303) )).
% 43.37/43.62 cnf(matrix-1455, plain, ( c_Natural_Oevaln(c_Com_Ocom_OSKIP, _u1304, _u1305, _u1304) )).
% 43.37/43.62 cnf(matrix-1456, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u1306, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1306, tc_HOL_Obool))), hAPP(c_Set_OPow(_u1306), _u1307))) )).
% 43.37/43.62 cnf(matrix-1457, plain, ( ( hAPP(c_Set_OPow(_u1308), c_Orderings_Obot__class_Obot(tc_fun(_u1308, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u1308, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u1308, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u1308, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1458, plain, ( ( hAPP(c_Set_OPow(_u1309), hAPP(hAPP(c_Set_Oinsert(_u1309), _u1310), _u1311)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1309, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1309), _u1311)), hAPP(c_Set_Oimage(tc_fun(_u1309, tc_HOL_Obool), tc_fun(_u1309, tc_HOL_Obool), hAPP(c_Set_Oinsert(_u1309), _u1310)), hAPP(c_Set_OPow(_u1309), _u1311)))) )).
% 43.37/43.62 cnf(matrix-1459, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1312, tc_HOL_Obool)), _u1313), hAPP(c_Set_OPow(_u1312), _u1314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1312, tc_HOL_Obool)), _u1313), _u1314)) )).
% 43.37/43.62 cnf(matrix-1460, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1318, tc_HOL_Obool)), _u1320), hAPP(c_Set_OPow(_u1318), _u1322))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1318, tc_HOL_Obool)), _u1320), _u1322)) )).
% 43.37/43.62 cnf(matrix-1461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1319, tc_HOL_Obool)), _u1321), _u1323)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1319, tc_HOL_Obool)), _u1321), hAPP(c_Set_OPow(_u1319), _u1323))) )).
% 43.37/43.62 cnf(matrix-1462, plain, ( ( hAPP(c_Set_Oimage(_u1324, _u1325, _u1326), _u1327) != _u1328) | ( hAPP(c_Set_Oimage(tc_fun(_u1324, tc_HOL_Obool), tc_fun(_u1325, tc_HOL_Obool), c_Set_Oimage(_u1324, _u1325, _u1326)), hAPP(c_Set_OPow(_u1324), _u1327)) = hAPP(c_Set_OPow(_u1325), _u1328)) )).
% 43.37/43.62 cnf(matrix-1463, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ( _u1341 = _u1339) | hBOOL(hAPP(_u1335, _u1339)) )).
% 43.37/43.62 cnf(matrix-1464, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ( _u1341 = _u1339) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1337), _u1339), skolem29(_u1341, _u1339, _u1337, _u1335))) )).
% 43.37/43.62 cnf(matrix-1465, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ( _u1341 = _u1339) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), skolem29(_u1341, _u1339, _u1337, _u1335)), _u1341)) )).
% 43.37/43.62 cnf(matrix-1466, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ~hBOOL(hAPP(_u1335, _u1339)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1337), _u1339), skolem29(_u1341, _u1339, _u1337, _u1335))) )).
% 43.37/43.62 cnf(matrix-1467, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), _u1339), _u1341)) | ~hBOOL(hAPP(_u1335, _u1339)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1335, _u1337)), skolem29(_u1341, _u1339, _u1337, _u1335)), _u1341)) )).
% 43.37/43.62 cnf(matrix-1468, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1336, _u1338)), _u1340), _u1342)) | ( _u1342 != _u1340) | hBOOL(hAPP(_u1336, _u1340)) )).
% 43.37/43.62 cnf(matrix-1469, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1336, _u1338)), _u1340), _u1342)) | ~hBOOL(hAPP(_u1336, _u1340)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1338), _u1340), _u1330)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1336, _u1338)), _u1330), _u1342)) )).
% 43.37/43.62 cnf(matrix-1470, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1348, _u1350)), _u1352), _u1352)) | ~hBOOL(hAPP(_u1348, _u1352)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1350), _u1352), skolem30(_u1352, _u1350, _u1348))) )).
% 43.37/43.62 cnf(matrix-1471, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1348, _u1350)), _u1352), _u1352)) | ~hBOOL(hAPP(_u1348, _u1352)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1348, _u1350)), skolem30(_u1352, _u1350, _u1348)), _u1352)) )).
% 43.37/43.62 cnf(matrix-1472, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1349, _u1351)), _u1353), _u1353)) | hBOOL(hAPP(_u1349, _u1353)) )).
% 43.37/43.62 cnf(matrix-1473, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1349, _u1351)), _u1353), _u1353)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u1351), _u1353), _u1344)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(_u1349, _u1351)), _u1344), _u1353)) )).
% 43.37/43.62 cnf(matrix-1474, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u1354) != c_Com_Ocom_OWhile(_u1355, _u1356)) )).
% 43.37/43.62 cnf(matrix-1475, plain, ( ( c_Com_Ocom_OWhile(_u1357, _u1358) != hAPP(c_Com_Ocom_OBODY, _u1359)) )).
% 43.37/43.62 cnf(matrix-1476, plain, ( ( c_Com_Ocom_OSemi(_u1360, _u1361) != c_Com_Ocom_OWhile(_u1362, _u1363)) )).
% 43.37/43.62 cnf(matrix-1477, plain, ( ( c_Com_Ocom_OWhile(_u1364, _u1365) != c_Com_Ocom_OSemi(_u1366, _u1367)) )).
% 43.37/43.62 cnf(matrix-1478, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(_u1368, _u1369)) )).
% 43.37/43.62 cnf(matrix-1479, plain, ( ( c_Com_Ocom_OWhile(_u1370, _u1371) != c_Com_Ocom_OSKIP) )).
% 43.37/43.62 cnf(matrix-1480, plain, ( ~hBOOL(hAPP(_u1372, _u1373)) | hBOOL(hAPP(_u1372, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u1372) = 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), _u1372), c_Nat_OSuc)))) )).
% 43.37/43.62 cnf(matrix-1481, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1378), _u1380), _u1382)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1378, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1378), _u1380), _u1384)), _u1382) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1378, tc_HOL_Obool)), _u1384), _u1382)) )).
% 43.37/43.62 cnf(matrix-1482, plain, ( hBOOL(hAPP(hAPP(c_member(_u1379), _u1381), _u1383)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1379, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1379), _u1381), _u1385)), _u1383) = hAPP(hAPP(c_Set_Oinsert(_u1379), _u1381), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1379, tc_HOL_Obool)), _u1385), _u1383))) )).
% 43.37/43.62 cnf(matrix-1483, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1386), _u1387), _u1388)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1386, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1386), _u1387), _u1389)), _u1388) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1386, tc_HOL_Obool)), _u1389), _u1388)) )).
% 43.37/43.62 cnf(matrix-1484, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1390, tc_HOL_Obool)), _u1391), hAPP(hAPP(c_Set_Oinsert(_u1390), _u1392), _u1393)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1390, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1390, tc_HOL_Obool)), _u1391), _u1393)), hAPP(hAPP(c_Set_Oinsert(_u1390), _u1392), c_Orderings_Obot__class_Obot(tc_fun(_u1390, tc_HOL_Obool))))) )).
% 43.37/43.62 cnf(matrix-1485, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1394, tc_HOL_Obool)), _u1395), hAPP(hAPP(c_Set_Oinsert(_u1394), _u1396), _u1397)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1394, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1394, tc_HOL_Obool)), _u1395), hAPP(hAPP(c_Set_Oinsert(_u1394), _u1396), c_Orderings_Obot__class_Obot(tc_fun(_u1394, tc_HOL_Obool))))), _u1397)) )).
% 43.37/43.62 cnf(matrix-1486, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u1398), _u1399), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1398, tc_HOL_Obool)), _u1400), hAPP(hAPP(c_Set_Oinsert(_u1398), _u1399), c_Orderings_Obot__class_Obot(tc_fun(_u1398, tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(_u1398), _u1399), _u1400)) )).
% 43.37/43.62 cnf(matrix-1487, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1401, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1401, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1402, _u1401, _u1403), _u1404)), hAPP(c_Set_Oimage(_u1402, _u1401, _u1403), _u1405))), hAPP(c_Set_Oimage(_u1402, _u1401, _u1403), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1402, tc_HOL_Obool)), _u1404), _u1405)))) )).
% 43.37/43.62 cnf(matrix-1488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1410, tc_HOL_Obool)), _u1412), _u1414)), _u1416)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1410, tc_HOL_Obool)), _u1412), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1410, tc_HOL_Obool)), _u1414), _u1416))) )).
% 43.37/43.62 cnf(matrix-1489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1411, tc_HOL_Obool)), _u1413), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1411, tc_HOL_Obool)), _u1415), _u1417))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1411, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1411, tc_HOL_Obool)), _u1413), _u1415)), _u1417)) )).
% 43.37/43.62 cnf(matrix-1490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1418, tc_HOL_Obool)), _u1419), _u1420)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1418, tc_HOL_Obool)), _u1419), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1418, tc_HOL_Obool)), _u1420), _u1419)) = _u1420) )).
% 43.37/43.62 cnf(matrix-1491, plain, ( ~hBOOL(hAPP(hAPP(_u1436, _u1423), _u1422)) | ~c_Natural_Oevaln(_u1438, _u1422, _u1434, _u1421) | hBOOL(hAPP(hAPP(_u1440, _u1423), _u1421)) | ~c_Hoare__Mirabelle_Otriple__valid(_u1432, _u1434, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1432), _u1436), _u1438), _u1440)) )).
% 43.37/43.62 cnf(matrix-1492, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u1433, _u1435, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1433), _u1437), _u1439), _u1441)) | hBOOL(hAPP(hAPP(_u1437, skolem31(_u1441, _u1439, _u1437, _u1435)), skolem32(_u1441, _u1439, _u1437, _u1435))) )).
% 43.37/43.62 cnf(matrix-1493, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u1433, _u1435, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1433), _u1437), _u1439), _u1441)) | c_Natural_Oevaln(_u1439, skolem32(_u1441, _u1439, _u1437, _u1435), _u1435, skolem33(_u1441, _u1439, _u1437, _u1435)) )).
% 43.37/43.62 cnf(matrix-1494, plain, ( c_Hoare__Mirabelle_Otriple__valid(_u1433, _u1435, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1433), _u1437), _u1439), _u1441)) | ~hBOOL(hAPP(hAPP(_u1441, skolem31(_u1441, _u1439, _u1437, _u1435)), skolem33(_u1441, _u1439, _u1437, _u1435))) )).
% 43.37/43.62 cnf(matrix-1495, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1442, tc_HOL_Obool)), _u1443), _u1444)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1442, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1442), _u1443)), hAPP(c_Set_OPow(_u1442), _u1444))) )).
% 43.37/43.62 cnf(matrix-1496, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u1445, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u1445, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u1445), _u1446)), hAPP(c_Set_OPow(_u1445), _u1447))), hAPP(c_Set_OPow(_u1445), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1445, tc_HOL_Obool)), _u1446), _u1447)))) )).
% 43.37/43.62 cnf(matrix-1497, plain, ( hBOOL(hAPP(hAPP(c_member(_u1448), _u1449), _u1450)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1448, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u1448), _u1449), _u1450)), hAPP(hAPP(c_Set_Oinsert(_u1448), _u1449), c_Orderings_Obot__class_Obot(tc_fun(_u1448, tc_HOL_Obool)))) = _u1450) )).
% 43.37/43.62 cnf(matrix-1498, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1451), _u1452), _u1453)) | ( hAPP(hAPP(c_Set_Oinsert(_u1451), _u1452), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1451, tc_HOL_Obool)), _u1453), hAPP(hAPP(c_Set_Oinsert(_u1451), _u1452), c_Orderings_Obot__class_Obot(tc_fun(_u1451, tc_HOL_Obool))))) = _u1453) )).
% 43.37/43.62 cnf(matrix-1499, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1454), _u1455), _u1456)) | ( hAPP(c_Fun_Ooverride__on(_u1454, _u1457, _u1458, _u1459, _u1456), _u1455) = hAPP(_u1459, _u1455)) )).
% 43.37/43.62 cnf(matrix-1500, plain, ( hBOOL(hAPP(hAPP(c_member(_u1460), _u1461), _u1462)) | ( hAPP(c_Fun_Ooverride__on(_u1460, _u1463, _u1464, _u1465, _u1462), _u1461) = hAPP(_u1464, _u1461)) )).
% 43.37/43.62 cnf(matrix-1501, plain, ( ( c_Fun_Ooverride__on(_u1466, _u1467, _u1468, _u1469, c_Orderings_Obot__class_Obot(tc_fun(_u1466, tc_HOL_Obool))) = _u1468) )).
% 43.37/43.62 cnf(matrix-1502, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u1473, hAPP(hAPP(c_COMBC(_u1473, tc_fun(_u1473, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1473)), _u1475)), _u1477)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u1473, tc_HOL_Obool)), _u1477), hAPP(c_Set_OPow(_u1473), _u1475))) )).
% 43.37/43.62 cnf(matrix-1503, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u1474, tc_HOL_Obool)), _u1478), hAPP(c_Set_OPow(_u1474), _u1476))) | hBOOL(hAPP(c_Predicate_OPowp(_u1474, hAPP(hAPP(c_COMBC(_u1474, tc_fun(_u1474, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1474)), _u1476)), _u1478)) )).
% 43.37/43.62 cnf(matrix-1504, plain, ( ( c_Hoare__Mirabelle_Otriple_Otriple__size(_u1479, _u1480, hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1479), _u1481), _u1482), _u1483)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1505, plain, ( ~class_Groups_Oordered__ab__group__add(_u1484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), _u1485), _u1486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1484), _u1485), _u1486)), c_Groups_Ozero__class_Ozero(_u1484))) )).
% 43.37/43.62 cnf(matrix-1506, plain, ( ~class_Groups_Oordered__ab__group__add(_u1484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1484), _u1485), _u1486)), c_Groups_Ozero__class_Ozero(_u1484))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1484), _u1485), _u1486)) )).
% 43.37/43.62 cnf(matrix-1507, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(_u1487)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u1487), _u1488), _u1489), _u1490)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1508, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1492), _u1493, _u1494, _u1495) | ( _u1494 = hAPP(c_Nat_OSuc, skolem34(_u1495, _u1494, _u1493, _u1492))) )).
% 43.37/43.62 cnf(matrix-1509, plain, ( ~c_Natural_Oevaln(hAPP(c_Com_Ocom_OBODY, _u1492), _u1493, _u1494, _u1495) | c_Natural_Oevaln(hAPP(c_Option_Othe(tc_Com_Ocom), hAPP(c_Com_Obody, _u1492)), _u1493, skolem34(_u1495, _u1494, _u1493, _u1492), _u1495) )).
% 43.37/43.62 cnf(matrix-1510, plain, ( ( c_Enum_Oenum__the(_u1496, _u1497) = c_HOL_OThe(_u1496, _u1497)) )).
% 43.37/43.62 cnf(matrix-1511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1501, tc_HOL_Obool)), _u1503), hAPP(hAPP(c_Set_Oinsert(_u1501), _u1505), c_Orderings_Obot__class_Obot(tc_fun(_u1501, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1501, _u1505, _u1503) = _u1505) )).
% 43.37/43.62 cnf(matrix-1512, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1502, tc_HOL_Obool)), _u1504), hAPP(hAPP(c_Set_Oinsert(_u1502), _u1506), c_Orderings_Obot__class_Obot(tc_fun(_u1502, tc_HOL_Obool))))) | ( c_Partial__Function_Oflat__lub(_u1502, _u1506, _u1504) = c_HOL_OThe(_u1502, hAPP(hAPP(c_COMBC(_u1502, tc_fun(_u1502, tc_HOL_Obool), tc_HOL_Obool), c_member(_u1502)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1502, tc_HOL_Obool)), _u1504), hAPP(hAPP(c_Set_Oinsert(_u1502), _u1506), c_Orderings_Obot__class_Obot(tc_fun(_u1502, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-1513, plain, ( ~class_Groups_Ogroup__add(_u1507) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1507), _u1508), _u1509) != c_Groups_Ozero__class_Ozero(_u1507)) | ( _u1508 = _u1509) )).
% 43.37/43.62 cnf(matrix-1514, plain, ( ~class_Groups_Ogroup__add(_u1507) | ( _u1508 != _u1509) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1507), _u1508), _u1509) = c_Groups_Ozero__class_Ozero(_u1507)) )).
% 43.37/43.62 cnf(matrix-1515, plain, ( ~class_Groups_Oab__group__add(_u1510) | ( _u1511 != _u1512) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1510), _u1511), _u1512) = c_Groups_Ozero__class_Ozero(_u1510)) )).
% 43.37/43.62 cnf(matrix-1516, plain, ( ~class_Groups_Oab__group__add(_u1510) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1510), _u1511), _u1512) != c_Groups_Ozero__class_Ozero(_u1510)) | ( _u1511 = _u1512) )).
% 43.37/43.62 cnf(matrix-1517, plain, ( ~class_Groups_Ogroup__add(_u1513) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1513), _u1514), _u1514) = c_Groups_Ozero__class_Ozero(_u1513)) )).
% 43.37/43.62 cnf(matrix-1518, plain, ( ~class_Groups_Ogroup__add(_u1515) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1515), _u1516), c_Groups_Ozero__class_Ozero(_u1515)) = _u1516) )).
% 43.37/43.62 cnf(matrix-1519, plain, ( ~class_Groups_Oordered__ab__group__add(_u1517) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1517), _u1518), _u1519) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1517), _u1520), _u1521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1518), _u1519)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1520), _u1521)) )).
% 43.37/43.62 cnf(matrix-1520, plain, ( ~class_Groups_Oordered__ab__group__add(_u1517) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1517), _u1518), _u1519) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1517), _u1520), _u1521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1520), _u1521)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1517), _u1518), _u1519)) )).
% 43.37/43.62 cnf(matrix-1521, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1522), _u1523) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1523), _u1522) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u1522 = _u1523) )).
% 43.37/43.62 cnf(matrix-1522, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1524), _u1524) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1523, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1525), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1525) )).
% 43.37/43.62 cnf(matrix-1524, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u1526) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1525, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1527)), hAPP(c_Nat_OSuc, _u1528)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1527), _u1528)) )).
% 43.37/43.62 cnf(matrix-1526, 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, _u1529)), _u1530)), hAPP(c_Nat_OSuc, _u1531)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1529), _u1530)), _u1531)) )).
% 43.37/43.62 cnf(matrix-1527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1532), _u1533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1532), _u1534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1533), _u1532)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1534), _u1532))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1533), _u1534)) )).
% 43.37/43.62 cnf(matrix-1528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1532), _u1533)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1532), _u1534)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1533), _u1534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1533), _u1532)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1534), _u1532))) )).
% 43.37/43.62 cnf(matrix-1529, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1535), _u1536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1535), _u1537)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1536), _u1535)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1537), _u1535)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1536), _u1537)) )).
% 43.37/43.62 cnf(matrix-1530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1538), _u1539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1538), _u1540)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1539), _u1538) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1540), _u1538)) | ( _u1539 = _u1540) )).
% 43.37/43.62 cnf(matrix-1531, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1538), _u1539)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1538), _u1540)) | ( _u1539 != _u1540) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1539), _u1538) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1540), _u1538)) )).
% 43.37/43.62 cnf(matrix-1532, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1541), _u1542)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1542), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1542), _u1541)) = _u1541) )).
% 43.37/43.62 cnf(matrix-1533, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1543), _u1544)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1543), _u1545)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1544), _u1545))) )).
% 43.37/43.62 cnf(matrix-1534, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1546), _u1547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1548), _u1547)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1548), _u1546))) )).
% 43.37/43.62 cnf(matrix-1535, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1549), _u1550)), _u1549)) )).
% 43.37/43.62 cnf(matrix-1536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1551), _u1552)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1551), _u1552) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1537, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1555), _u1557) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1555), _u1557)) )).
% 43.37/43.62 cnf(matrix-1538, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1556), _u1558)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1556), _u1558) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1539, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1559), _u1560)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1560)), _u1559) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1560), _u1559))) )).
% 43.37/43.62 cnf(matrix-1540, plain, ( ~class_Groups_Ozero(_u1561) | ( c_Groups_Ozero__class_Ozero(_u1561) != _u1562) | ( _u1562 = c_Groups_Ozero__class_Ozero(_u1561)) )).
% 43.37/43.62 cnf(matrix-1541, plain, ( ~class_Groups_Ozero(_u1561) | ( _u1562 != c_Groups_Ozero__class_Ozero(_u1561)) | ( c_Groups_Ozero__class_Ozero(_u1561) = _u1562) )).
% 43.37/43.62 cnf(matrix-1542, plain, ( ~class_Groups_Oab__group__add(_u1563) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1563), _u1564), _u1565) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1563), _u1566), _u1567)) | ( _u1564 != _u1565) | ( _u1566 = _u1567) )).
% 43.37/43.62 cnf(matrix-1543, plain, ( ~class_Groups_Oab__group__add(_u1563) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1563), _u1564), _u1565) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1563), _u1566), _u1567)) | ( _u1566 != _u1567) | ( _u1564 = _u1565) )).
% 43.37/43.62 cnf(matrix-1544, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1574), _u1576), _u1578)) | ( hAPP(c_Set_Oimage(_u1574, _u1580, c_Fun_Ofun__upd(_u1574, _u1580, _u1582, _u1576, _u1584)), _u1578) = hAPP(hAPP(c_Set_Oinsert(_u1580), _u1584), hAPP(c_Set_Oimage(_u1574, _u1580, _u1582), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1574, tc_HOL_Obool)), _u1578), hAPP(hAPP(c_Set_Oinsert(_u1574), _u1576), c_Orderings_Obot__class_Obot(tc_fun(_u1574, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-1545, plain, ( hBOOL(hAPP(hAPP(c_member(_u1575), _u1577), _u1579)) | ( hAPP(c_Set_Oimage(_u1575, _u1581, c_Fun_Ofun__upd(_u1575, _u1581, _u1583, _u1577, _u1585)), _u1579) = hAPP(c_Set_Oimage(_u1575, _u1581, _u1583), _u1579)) )).
% 43.37/43.62 cnf(matrix-1546, plain, ( ( c_HOL_OThe(_u1586, hAPP(c_fequal, _u1587)) = _u1587) )).
% 43.37/43.62 cnf(matrix-1547, plain, ( ( c_HOL_OThe(_u1588, hAPP(hAPP(c_COMBC(_u1588, _u1588, tc_HOL_Obool), c_fequal), _u1589)) = _u1589) )).
% 43.37/43.62 cnf(matrix-1548, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1592)), _u1594)) | hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1592), _u1594)) )).
% 43.37/43.62 cnf(matrix-1549, plain, ( ~hBOOL(c_Nat_Onat_Onat__case(tc_HOL_Obool, c_fFalse, hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u1593), _u1595)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u1593)), _u1595)) )).
% 43.37/43.62 cnf(matrix-1550, plain, ( ( _u1596 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1597, tc_HOL_Obool), _u1598)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1597, tc_HOL_Obool), tc_fun(_u1597, tc_HOL_Obool), _u1598) | ~hBOOL(hAPP(hAPP(c_member(_u1597), _u1599), _u1600)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1597, tc_HOL_Obool)), _u1600), hAPP(_u1598, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1597, tc_HOL_Obool)), _u1600), _u1596)))) | hBOOL(hAPP(hAPP(c_member(_u1597), _u1599), _u1596)) )).
% 43.37/43.62 cnf(matrix-1551, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1601, tc_HOL_Obool), tc_fun(_u1601, tc_HOL_Obool), _u1602) | ~hBOOL(hAPP(hAPP(c_member(_u1601), _u1603), _u1604)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1601, tc_HOL_Obool)), _u1604), hAPP(_u1602, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1601, tc_HOL_Obool)), _u1604), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1601, tc_HOL_Obool), _u1602))))) | hBOOL(hAPP(hAPP(c_member(_u1601), _u1603), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1601, tc_HOL_Obool), _u1602))) )).
% 43.37/43.62 cnf(matrix-1552, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), _u1615))) | ~hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1615)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), _u1611), _u1615)) )).
% 43.37/43.62 cnf(matrix-1553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), _u1615))) | hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1615)) | ~hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), 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))))), _u1615)) )).
% 43.37/43.62 cnf(matrix-1554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1609, tc_HOL_Obool)), _u1611), hAPP(hAPP(c_Set_Oinsert(_u1609), _u1613), _u1615))) | hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1615)) | hBOOL(hAPP(hAPP(c_member(_u1609), _u1613), _u1611)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1609, tc_HOL_Obool)), _u1611), _u1615)) )).
% 43.37/43.62 cnf(matrix-1555, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1616)) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) )).
% 43.37/43.62 cnf(matrix-1556, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), c_Orderings_Obot__class_Obot(tc_fun(_u1610, tc_HOL_Obool))))), _u1616)) | ~hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1612)) )).
% 43.37/43.62 cnf(matrix-1557, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), c_Orderings_Obot__class_Obot(tc_fun(_u1610, tc_HOL_Obool))))), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) )).
% 43.37/43.62 cnf(matrix-1558, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) | ~hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1616)) )).
% 43.37/43.62 cnf(matrix-1559, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) | hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) )).
% 43.37/43.62 cnf(matrix-1560, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), c_Orderings_Obot__class_Obot(tc_fun(_u1610, tc_HOL_Obool))))), _u1616)) | ~hBOOL(hAPP(hAPP(c_member(_u1610), _u1614), _u1612)) )).
% 43.37/43.62 cnf(matrix-1561, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), _u1616))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1610, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1610, tc_HOL_Obool)), _u1612), hAPP(hAPP(c_Set_Oinsert(_u1610), _u1614), c_Orderings_Obot__class_Obot(tc_fun(_u1610, tc_HOL_Obool))))), _u1616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1610, tc_HOL_Obool)), _u1612), _u1616)) )).
% 43.37/43.62 cnf(matrix-1562, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1617), _u1618), _u1619)) | ~c_Nitpick_Ofold__graph_H(_u1617, _u1620, _u1621, _u1622, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1617, tc_HOL_Obool)), _u1619), hAPP(hAPP(c_Set_Oinsert(_u1617), _u1618), c_Orderings_Obot__class_Obot(tc_fun(_u1617, tc_HOL_Obool)))), _u1623) | c_Nitpick_Ofold__graph_H(_u1617, _u1620, _u1621, _u1622, _u1619, hAPP(hAPP(_u1621, _u1618), _u1623)) )).
% 43.37/43.62 cnf(matrix-1563, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1624) | ( _u1625 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u1624, _u1626)) | ~c_Orderings_Oorder__class_Omono(_u1624, _u1624, _u1626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1624), _u1627), hAPP(_u1626, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1624), _u1627), _u1625)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1624), _u1627), _u1625)) )).
% 43.37/43.62 cnf(matrix-1564, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1628) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1628), _u1629), hAPP(_u1630, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1628), _u1629), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1628, _u1630))))) | ~c_Orderings_Oorder__class_Omono(_u1628, _u1628, _u1630) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1628), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1628), _u1629), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1628, _u1630))), hAPP(_u1630, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1628), _u1629), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1628, _u1630))))) )).
% 43.37/43.62 cnf(matrix-1565, plain, ( ( c_Fun_Ofun__upd(_u1631, _u1632, _u1633, _u1634, hAPP(_u1633, _u1634)) = _u1633) )).
% 43.37/43.62 cnf(matrix-1566, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1635), _u1636)), _u1637) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1635), _u1637)), _u1636)) )).
% 43.37/43.62 cnf(matrix-1567, plain, ( ~class_Orderings_Opreorder(_u1638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1638), _u1639), _u1639)) )).
% 43.37/43.62 cnf(matrix-1568, plain, ( ~class_Orderings_Olinorder(_u1640) | ( _u1641 = _u1642) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1641), _u1642)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1642), _u1641)) )).
% 43.37/43.62 cnf(matrix-1569, plain, ( ~class_Orderings_Olinorder(_u1640) | ( _u1641 != _u1642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1641), _u1642)) )).
% 43.37/43.62 cnf(matrix-1570, plain, ( ~class_Orderings_Olinorder(_u1640) | ( _u1641 != _u1642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1640), _u1642), _u1641)) )).
% 43.37/43.62 cnf(matrix-1571, plain, ( ~class_Orderings_Olinorder(_u1643) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1644), _u1645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1645), _u1644)) | ( _u1644 = _u1645) )).
% 43.37/43.62 cnf(matrix-1572, plain, ( ~class_Orderings_Olinorder(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1644), _u1645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1645), _u1644)) )).
% 43.37/43.62 cnf(matrix-1573, plain, ( ~class_Orderings_Olinorder(_u1643) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1643), _u1644), _u1645)) | ( _u1644 != _u1645) )).
% 43.37/43.62 cnf(matrix-1574, plain, ( ~class_Orderings_Olinorder(_u1646) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1646), _u1647), _u1648)) | ( _u1647 = _u1648) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1646), _u1648), _u1647)) )).
% 43.37/43.62 cnf(matrix-1575, plain, ( ~class_Orderings_Olinorder(_u1649) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), _u1651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1651), _u1650)) | ( _u1651 = _u1650) )).
% 43.37/43.62 cnf(matrix-1576, plain, ( ~class_Orderings_Olinorder(_u1649) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1650), _u1651)) | ( _u1651 != _u1650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1649), _u1651), _u1650)) )).
% 43.37/43.62 cnf(matrix-1577, plain, ( ~class_Orderings_Olinorder(_u1652) | ( _u1653 = _u1654) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), _u1653), _u1654)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1652), _u1654), _u1653)) )).
% 43.37/43.62 cnf(matrix-1578, plain, ( ~class_Orderings_Oorder(_u1655) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1655), _u1656), _u1657)) | ( _u1656 != _u1657) )).
% 43.37/43.62 cnf(matrix-1579, plain, ( ~class_Orderings_Opreorder(_u1658) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1659), _u1660)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1658), _u1660), _u1659)) )).
% 43.37/43.62 cnf(matrix-1580, plain, ( ~class_Orderings_Opreorder(_u1661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1662), _u1663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1661), _u1663), _u1662)) )).
% 43.37/43.62 cnf(matrix-1581, plain, ( ~class_Orderings_Oorder(_u1664) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1664), _u1665), _u1666)) | ( _u1665 != _u1666) )).
% 43.37/43.62 cnf(matrix-1582, plain, ( ~class_Orderings_Oorder(_u1667) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1667), _u1668), _u1669)) | ( _u1669 != _u1668) )).
% 43.37/43.62 cnf(matrix-1583, plain, ( ~class_Orderings_Opreorder(_u1670) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1671), _u1672)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1670), _u1672), _u1671)) )).
% 43.37/43.62 cnf(matrix-1584, plain, ( ~class_Orderings_Oorder(_u1673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1674), _u1675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1673), _u1675), _u1674)) )).
% 43.37/43.62 cnf(matrix-1585, plain, ( ~class_Orderings_Oord(_u1676) | ( _u1677 != _u1678) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), _u1678), _u1679)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1676), _u1677), _u1679)) )).
% 43.37/43.62 cnf(matrix-1586, plain, ( ~class_Orderings_Oorder(_u1680) | ( _u1681 != _u1682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), _u1683), _u1682)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1680), _u1683), _u1681)) )).
% 43.37/43.62 cnf(matrix-1587, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1684, tc_HOL_Obool)), _u1685), _u1686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1684, tc_HOL_Obool)), _u1686), _u1687)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1684, tc_HOL_Obool)), _u1685), _u1687)) )).
% 43.37/43.62 cnf(matrix-1588, plain, ( ~class_Orderings_Oord(_u1688) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1688), _u1689), _u1690)) | ( _u1690 != _u1691) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1688), _u1689), _u1691)) )).
% 43.37/43.62 cnf(matrix-1589, plain, ( ~class_Orderings_Oorder(_u1692) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1693), _u1694)) | ( _u1693 != _u1695) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1692), _u1695), _u1694)) )).
% 43.37/43.62 cnf(matrix-1590, plain, ( ~class_Orderings_Opreorder(_u1696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), _u1697), _u1698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), _u1698), _u1699)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1696), _u1697), _u1699)) )).
% 43.37/43.62 cnf(matrix-1591, plain, ( ~class_Orderings_Oorder(_u1700) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1701), _u1702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1703), _u1701)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1700), _u1703), _u1702)) )).
% 43.37/43.62 cnf(matrix-1592, plain, ( ~class_Orderings_Opreorder(_u1704) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1704), _u1705), _u1706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1704), _u1706), _u1705)) )).
% 43.37/43.62 cnf(matrix-1593, plain, ( ~class_Orderings_Olinorder(_u1707) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1707), _u1708), _u1709)) | ( _u1708 = _u1709) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1707), _u1709), _u1708)) )).
% 43.37/43.62 cnf(matrix-1594, plain, ( ( hAPP(_u1719, _u1721) = _u1723) | ( c_Fun_Ofun__upd(_u1715, _u1717, _u1719, _u1721, _u1723) != _u1719) )).
% 43.37/43.62 cnf(matrix-1595, plain, ( ( hAPP(_u1720, _u1722) != _u1724) | ( c_Fun_Ofun__upd(_u1716, _u1718, _u1720, _u1722, _u1724) = _u1720) )).
% 43.37/43.62 cnf(matrix-1596, plain, ( ( c_Fun_Ofun__upd(_u1725, _u1726, c_Fun_Ofun__upd(_u1725, _u1726, _u1727, _u1728, _u1729), _u1728, _u1730) = c_Fun_Ofun__upd(_u1725, _u1726, _u1727, _u1728, _u1730)) )).
% 43.37/43.62 cnf(matrix-1597, plain, ( ( hAPP(c_Fun_Ofun__upd(_u1731, _u1732, _u1733, _u1734, _u1735), _u1734) = _u1735) )).
% 43.37/43.62 cnf(matrix-1598, plain, ( ( _u1742 != _u1744) | ( hAPP(c_Fun_Ofun__upd(_u1746, _u1748, _u1750, _u1744, _u1752), _u1742) = _u1752) )).
% 43.37/43.62 cnf(matrix-1599, plain, ( ( _u1743 = _u1745) | ( hAPP(c_Fun_Ofun__upd(_u1747, _u1749, _u1751, _u1745, _u1753), _u1743) = hAPP(_u1751, _u1743)) )).
% 43.37/43.62 cnf(matrix-1600, plain, ( ( _u1754 = _u1755) | ( c_Fun_Ofun__upd(_u1756, _u1757, c_Fun_Ofun__upd(_u1756, _u1757, _u1758, _u1754, _u1759), _u1755, _u1760) = c_Fun_Ofun__upd(_u1756, _u1757, c_Fun_Ofun__upd(_u1756, _u1757, _u1758, _u1755, _u1760), _u1754, _u1759)) )).
% 43.37/43.62 cnf(matrix-1601, plain, ( ( _u1761 = _u1762) | ( hAPP(c_Fun_Ofun__upd(_u1763, _u1764, _u1765, _u1762, _u1766), _u1761) = hAPP(_u1765, _u1761)) )).
% 43.37/43.62 cnf(matrix-1602, plain, ( ( hAPP(_u1767, _u1768) != _u1769) | ( c_Fun_Ofun__upd(_u1770, _u1771, _u1767, _u1768, _u1769) = _u1767) )).
% 43.37/43.62 cnf(matrix-1603, plain, ( ( _u1778 != _u1780) | ( hAPP(c_Fun_Ofun__upd(_u1782, _u1784, _u1786, _u1780, _u1788), _u1778) = _u1788) )).
% 43.37/43.62 cnf(matrix-1604, plain, ( ( _u1779 = _u1781) | ( hAPP(c_Fun_Ofun__upd(_u1783, _u1785, _u1787, _u1781, _u1789), _u1779) = hAPP(_u1787, _u1779)) )).
% 43.37/43.62 cnf(matrix-1605, plain, ( c_Nitpick_Ofold__graph_H(_u1790, _u1791, _u1792, _u1793, c_Orderings_Obot__class_Obot(tc_fun(_u1790, tc_HOL_Obool)), _u1793) )).
% 43.37/43.62 cnf(matrix-1606, plain, ( c_Nitpick_Ofold__graph_H(_u1794, _u1795, _u1796, _u1797, c_Orderings_Obot__class_Obot(tc_fun(_u1794, tc_HOL_Obool)), _u1797) )).
% 43.37/43.62 cnf(matrix-1607, plain, ( ~class_Orderings_Oord(_u1798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1799, _u1798)), _u1800), _u1801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1799, _u1798)), _u1800), _u1801)) )).
% 43.37/43.62 cnf(matrix-1608, plain, ( ~class_Orderings_Oord(_u1798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1799, _u1798)), _u1800), _u1801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1799, _u1798)), _u1801), _u1800)) )).
% 43.37/43.62 cnf(matrix-1609, plain, ( ~class_Orderings_Oord(_u1798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1799, _u1798)), _u1800), _u1801)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1799, _u1798)), _u1801), _u1800)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1799, _u1798)), _u1800), _u1801)) )).
% 43.37/43.62 cnf(matrix-1610, plain, ( ~class_Orderings_Olinorder(_u1802) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1802), _u1803), _u1804)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1802), _u1804), _u1803)) )).
% 43.37/43.62 cnf(matrix-1611, plain, ( ~class_Orderings_Olinorder(_u1802) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1802), _u1804), _u1803)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1802), _u1803), _u1804)) )).
% 43.37/43.62 cnf(matrix-1612, plain, ( ~class_Orderings_Olinorder(_u1805) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1805), _u1806), _u1807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1805), _u1807), _u1806)) )).
% 43.37/43.62 cnf(matrix-1613, plain, ( ~class_Orderings_Olinorder(_u1805) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1805), _u1807), _u1806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1805), _u1806), _u1807)) )).
% 43.37/43.62 cnf(matrix-1614, plain, ( ~class_Orderings_Olinorder(_u1808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1808), _u1809), _u1810)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1808), _u1810), _u1809)) )).
% 43.37/43.62 cnf(matrix-1615, plain, ( ~class_Orderings_Oorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1811), _u1812), _u1813)) )).
% 43.37/43.62 cnf(matrix-1616, plain, ( ~class_Orderings_Oorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) | ( _u1812 != _u1813) )).
% 43.37/43.62 cnf(matrix-1617, plain, ( ~class_Orderings_Oorder(_u1811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1811), _u1812), _u1813)) | ( _u1812 = _u1813) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1811), _u1812), _u1813)) )).
% 43.37/43.62 cnf(matrix-1618, plain, ( ~class_Orderings_Opreorder(_u1814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1815), _u1816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1815), _u1816)) )).
% 43.37/43.62 cnf(matrix-1619, plain, ( ~class_Orderings_Opreorder(_u1814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1815), _u1816)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1816), _u1815)) )).
% 43.37/43.62 cnf(matrix-1620, plain, ( ~class_Orderings_Opreorder(_u1814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1815), _u1816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1814), _u1816), _u1815)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1814), _u1815), _u1816)) )).
% 43.37/43.62 cnf(matrix-1621, plain, ( ~class_Orderings_Oorder(_u1817) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1818), _u1819)) | ( _u1818 = _u1819) )).
% 43.37/43.62 cnf(matrix-1622, plain, ( ~class_Orderings_Oorder(_u1817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1817), _u1818), _u1819)) )).
% 43.37/43.62 cnf(matrix-1623, plain, ( ~class_Orderings_Oorder(_u1817) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1817), _u1818), _u1819)) | ( _u1818 != _u1819) )).
% 43.37/43.62 cnf(matrix-1624, plain, ( ~class_Orderings_Olinorder(_u1820) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1820), _u1821), _u1822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1820), _u1822), _u1821)) )).
% 43.37/43.62 cnf(matrix-1625, plain, ( ~class_Orderings_Olinorder(_u1823) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1823), _u1824), _u1825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1823), _u1825), _u1824)) )).
% 43.37/43.62 cnf(matrix-1626, plain, ( ~class_Orderings_Olinorder(_u1826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1826), _u1827), _u1828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1826), _u1827), _u1828)) | ( _u1827 = _u1828) )).
% 43.37/43.62 cnf(matrix-1627, plain, ( ~class_Orderings_Olinorder(_u1826) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1826), _u1827), _u1828)) | ( _u1827 != _u1828) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1826), _u1827), _u1828)) )).
% 43.37/43.62 cnf(matrix-1628, plain, ( ~class_Orderings_Oorder(_u1829) | ( _u1830 = _u1831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1829), _u1830), _u1831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1829), _u1830), _u1831)) )).
% 43.37/43.62 cnf(matrix-1629, plain, ( ~class_Orderings_Oorder(_u1832) | ( _u1833 = _u1834) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1832), _u1834), _u1833)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1832), _u1834), _u1833)) )).
% 43.37/43.62 cnf(matrix-1630, plain, ( ~class_Orderings_Olinorder(_u1835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1835), _u1836), _u1837)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1835), _u1837), _u1836)) )).
% 43.37/43.62 cnf(matrix-1631, plain, ( ~class_Orderings_Opreorder(_u1838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1838), _u1839), _u1840)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1838), _u1839), _u1840)) )).
% 43.37/43.62 cnf(matrix-1632, plain, ( ~class_Orderings_Olinorder(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1841), _u1842), _u1843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1842), _u1843)) | ( _u1842 = _u1843) )).
% 43.37/43.62 cnf(matrix-1633, plain, ( ~class_Orderings_Olinorder(_u1841) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1841), _u1842), _u1843)) | ( _u1842 != _u1843) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1841), _u1842), _u1843)) )).
% 43.37/43.62 cnf(matrix-1634, plain, ( ~class_Orderings_Oorder(_u1844) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1844), _u1845), _u1846)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1844), _u1845), _u1846)) | ( _u1845 = _u1846) )).
% 43.37/43.62 cnf(matrix-1635, plain, ( ~class_Orderings_Oorder(_u1847) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1847), _u1848), _u1849)) | ( _u1848 = _u1849) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1847), _u1848), _u1849)) )).
% 43.37/43.62 cnf(matrix-1636, plain, ( ~class_Orderings_Oorder(_u1850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1850), _u1851), _u1852)) | ( _u1852 = _u1851) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1850), _u1851), _u1852)) )).
% 43.37/43.62 cnf(matrix-1637, plain, ( ~class_Orderings_Opreorder(_u1853) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1853), _u1854), _u1855)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1853), _u1855), _u1856)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1853), _u1854), _u1856)) )).
% 43.37/43.62 cnf(matrix-1638, plain, ( ~class_Orderings_Oorder(_u1857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1857), _u1858), _u1859)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1857), _u1860), _u1858)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1857), _u1860), _u1859)) )).
% 43.37/43.62 cnf(matrix-1639, plain, ( ~class_Orderings_Opreorder(_u1861) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1861), _u1862), _u1863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1861), _u1863), _u1864)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1861), _u1862), _u1864)) )).
% 43.37/43.62 cnf(matrix-1640, plain, ( ~class_Orderings_Oorder(_u1865) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1865), _u1866), _u1867)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), _u1868), _u1866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1865), _u1868), _u1867)) )).
% 43.37/43.62 cnf(matrix-1641, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1869, tc_HOL_Obool)), _u1870), _u1871)) | ~hBOOL(hAPP(hAPP(c_member(_u1869), _u1872), _u1870)) | hBOOL(hAPP(hAPP(c_member(_u1869), _u1872), _u1871)) )).
% 43.37/43.62 cnf(matrix-1642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1873, tc_HOL_Obool)), _u1874), c_Orderings_Obot__class_Obot(tc_fun(_u1873, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1643, plain, ( ~class_Groups_Oordered__ab__group__add(_u1875) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1876), _u1877) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1878), _u1879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1876), _u1877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1878), _u1879)) )).
% 43.37/43.62 cnf(matrix-1644, plain, ( ~class_Groups_Oordered__ab__group__add(_u1875) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1876), _u1877) != hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1875), _u1878), _u1879)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1878), _u1879)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1875), _u1876), _u1877)) )).
% 43.37/43.62 cnf(matrix-1645, plain, ( ~class_Lattices_Osemilattice__sup(_u1880) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1880), _u1881), _u1882)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1880), _u1881), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1880), _u1882), _u1883))) )).
% 43.37/43.62 cnf(matrix-1646, plain, ( ~class_Lattices_Osemilattice__sup(_u1884) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1884), _u1885), _u1886)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1884), _u1885), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1884), _u1887), _u1886))) )).
% 43.37/43.62 cnf(matrix-1647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1891, tc_HOL_Obool)), _u1893), _u1895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1891, tc_HOL_Obool)), _u1893), _u1895)) )).
% 43.37/43.62 cnf(matrix-1648, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1891, tc_HOL_Obool)), _u1893), _u1895)) | ( _u1893 != _u1895) )).
% 43.37/43.62 cnf(matrix-1649, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1892, tc_HOL_Obool)), _u1894), _u1896)) | ( _u1894 = _u1896) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1892, tc_HOL_Obool)), _u1894), _u1896)) )).
% 43.37/43.62 cnf(matrix-1650, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1900, tc_HOL_Obool)), _u1902), _u1904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1900, tc_HOL_Obool)), _u1902), _u1904)) | ( _u1902 = _u1904) )).
% 43.37/43.62 cnf(matrix-1651, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1901, tc_HOL_Obool)), _u1903), _u1905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1901, tc_HOL_Obool)), _u1903), _u1905)) )).
% 43.37/43.62 cnf(matrix-1652, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1901, tc_HOL_Obool)), _u1903), _u1905)) | ( _u1903 != _u1905) )).
% 43.37/43.62 cnf(matrix-1653, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1906, tc_HOL_Obool)), _u1907), _u1908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1906, tc_HOL_Obool)), _u1907), _u1908)) )).
% 43.37/43.62 cnf(matrix-1654, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1909, tc_HOL_Obool)), _u1910), _u1911)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1909, tc_HOL_Obool)), _u1911), _u1912)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1909, tc_HOL_Obool)), _u1910), _u1912)) )).
% 43.37/43.62 cnf(matrix-1655, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1913, tc_HOL_Obool)), _u1914), _u1915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1913, tc_HOL_Obool)), _u1915), _u1916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1913, tc_HOL_Obool)), _u1914), _u1916)) )).
% 43.37/43.62 cnf(matrix-1656, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), hAPP(_u1919, _u1918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1917), _u1918), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1917, _u1919))) )).
% 43.37/43.62 cnf(matrix-1657, plain, ( ~class_Orderings_Owellorder(_u1920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1920), _u1921), c_Orderings_Oord__class_OLeast(_u1920, _u1922))) | ~hBOOL(hAPP(_u1922, _u1921)) )).
% 43.37/43.62 cnf(matrix-1658, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1923) | ( _u1924 != c_Inductive_Ocomplete__lattice__class_Ogfp(_u1923, _u1925)) | ~c_Orderings_Oorder__class_Omono(_u1923, _u1923, _u1925) | ( _u1924 = hAPP(_u1925, _u1924)) )).
% 43.37/43.62 cnf(matrix-1659, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1926) | ~c_Orderings_Oorder__class_Omono(_u1926, _u1926, _u1927) | ( c_Inductive_Ocomplete__lattice__class_Ogfp(_u1926, _u1927) = hAPP(_u1927, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1926, _u1927))) )).
% 43.37/43.62 cnf(matrix-1660, plain, ( ~class_Groups_Oordered__ab__group__add(_u1928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), _u1929), _u1930)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1928), _u1929), _u1930)), c_Groups_Ozero__class_Ozero(_u1928))) )).
% 43.37/43.62 cnf(matrix-1661, plain, ( ~class_Groups_Oordered__ab__group__add(_u1928) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u1928), _u1929), _u1930)), c_Groups_Ozero__class_Ozero(_u1928))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u1928), _u1929), _u1930)) )).
% 43.37/43.62 cnf(matrix-1662, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1931), _u1932), _u1933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1931, tc_HOL_Obool)), _u1933), hAPP(_u1934, _u1933))) | hBOOL(hAPP(hAPP(c_member(_u1931), _u1932), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1931, tc_HOL_Obool), _u1934))) )).
% 43.37/43.62 cnf(matrix-1663, plain, ( ( c_Nat_Onat_Onat__case(_u1935, _u1936, _u1937, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u1936) )).
% 43.37/43.62 cnf(matrix-1664, plain, ( ( c_Nat_Onat_Onat__case(_u1938, _u1939, _u1940, hAPP(c_Nat_OSuc, _u1941)) = hAPP(_u1940, _u1941)) )).
% 43.37/43.62 cnf(matrix-1665, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1942) | ~c_Orderings_Oorder__class_Omono(_u1942, _u1942, _u1943) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1942), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1942, _u1943)), hAPP(_u1943, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1942, _u1943)))) )).
% 43.37/43.62 cnf(matrix-1666, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1944) | ~c_Orderings_Oorder__class_Omono(_u1944, _u1944, _u1945) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1944), hAPP(_u1945, c_Inductive_Ocomplete__lattice__class_Ogfp(_u1944, _u1945))), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1944, _u1945))) )).
% 43.37/43.62 cnf(matrix-1667, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u1946), _u1947), _u1948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1949, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u1946, _u1949, _u1950), _u1948)), hAPP(_u1951, hAPP(c_Set_Oimage(_u1946, _u1949, _u1950), _u1948)))) | hBOOL(hAPP(hAPP(c_member(_u1949), hAPP(_u1950, _u1947)), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1949, tc_HOL_Obool), _u1951))) )).
% 43.37/43.62 cnf(matrix-1668, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1952, tc_HOL_Obool), tc_fun(_u1952, tc_HOL_Obool), _u1953) | ~hBOOL(hAPP(hAPP(c_member(_u1952), _u1954), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1952, tc_HOL_Obool), _u1953))) | hBOOL(hAPP(hAPP(c_member(_u1952), _u1954), hAPP(_u1953, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1952, tc_HOL_Obool)), _u1955), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1952, tc_HOL_Obool), _u1953))))) )).
% 43.37/43.62 cnf(matrix-1669, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u1956) | ~c_Orderings_Oorder__class_Omono(_u1956, _u1956, _u1957) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1956), _u1958), hAPP(_u1957, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u1956), _u1958), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1956, _u1957))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u1956), _u1958), c_Inductive_Ocomplete__lattice__class_Ogfp(_u1956, _u1957))) )).
% 43.37/43.62 cnf(matrix-1670, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool), _u1960) | ~hBOOL(hAPP(hAPP(c_member(_u1959), _u1961), _u1962)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1959, tc_HOL_Obool)), _u1962), hAPP(_u1960, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1959, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1959, tc_HOL_Obool), tc_fun(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool)), tc_fun(_u1959, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1959, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1959, tc_HOL_Obool), tc_fun(tc_fun(_u1959, tc_HOL_Obool), tc_fun(_u1959, tc_HOL_Obool)), tc_fun(_u1959, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1959, tc_HOL_Obool))), _u1960)), _u1962))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1959, tc_HOL_Obool), _u1960)))))) | hBOOL(hAPP(hAPP(c_member(_u1959), _u1961), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1959, tc_HOL_Obool), _u1960))) )).
% 43.37/43.62 cnf(matrix-1671, plain, ( ( _u1963 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1964, tc_HOL_Obool), _u1965)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool), _u1965) | ~hBOOL(hAPP(hAPP(c_member(_u1964), _u1966), _u1967)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1964, tc_HOL_Obool)), _u1967), hAPP(_u1965, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1964, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1964, tc_HOL_Obool), tc_fun(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool)), tc_fun(_u1964, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1964, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1964, tc_HOL_Obool), tc_fun(tc_fun(_u1964, tc_HOL_Obool), tc_fun(_u1964, tc_HOL_Obool)), tc_fun(_u1964, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1964, tc_HOL_Obool))), _u1965)), _u1967))), _u1963))))) | hBOOL(hAPP(hAPP(c_member(_u1964), _u1966), _u1963)) )).
% 43.37/43.62 cnf(matrix-1672, plain, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( _u1987 = c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u1979), skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), _u1987)) )).
% 43.37/43.62 cnf(matrix-1673, plain, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( _u1987 = c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool))) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = hAPP(hAPP(_u1983, skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), skolem36(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979))) )).
% 43.37/43.62 cnf(matrix-1674, plain, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( _u1987 = c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool))) | c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1979, tc_HOL_Obool)), _u1987), hAPP(hAPP(c_Set_Oinsert(_u1979), skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool)))), skolem36(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)) )).
% 43.37/43.62 cnf(matrix-1675, plain, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = _u1985) | hBOOL(hAPP(hAPP(c_member(_u1979), skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), _u1987)) )).
% 43.37/43.62 cnf(matrix-1676, plain, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = _u1985) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = hAPP(hAPP(_u1983, skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), skolem36(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979))) )).
% 43.37/43.62 cnf(matrix-1677, plain, ( ~c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, _u1987, hAPP(hAPP(_u1983, _u1989), _u1991)) | ( hAPP(hAPP(_u1983, _u1989), _u1991) = _u1985) | c_Nitpick_Ofold__graph_H(_u1979, _u1981, _u1983, _u1985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1979, tc_HOL_Obool)), _u1987), hAPP(hAPP(c_Set_Oinsert(_u1979), skolem35(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)), c_Orderings_Obot__class_Obot(tc_fun(_u1979, tc_HOL_Obool)))), skolem36(_u1991, _u1989, _u1987, _u1985, _u1983, _u1981, _u1979)) )).
% 43.37/43.62 cnf(matrix-1678, plain, ( c_Nitpick_Ofold__graph_H(_u1980, _u1982, _u1984, _u1986, _u1988, hAPP(hAPP(_u1984, _u1990), _u1992)) | ( _u1988 != c_Orderings_Obot__class_Obot(tc_fun(_u1980, tc_HOL_Obool))) | ( hAPP(hAPP(_u1984, _u1990), _u1992) != _u1986) )).
% 43.37/43.62 cnf(matrix-1679, plain, ( c_Nitpick_Ofold__graph_H(_u1980, _u1982, _u1984, _u1986, _u1988, hAPP(hAPP(_u1984, _u1990), _u1992)) | ~hBOOL(hAPP(hAPP(c_member(_u1980), _u1971), _u1988)) | ( hAPP(hAPP(_u1984, _u1990), _u1992) != hAPP(hAPP(_u1984, _u1971), _u1970)) | ~c_Nitpick_Ofold__graph_H(_u1980, _u1982, _u1984, _u1986, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u1980, tc_HOL_Obool)), _u1988), hAPP(hAPP(c_Set_Oinsert(_u1980), _u1971), c_Orderings_Obot__class_Obot(tc_fun(_u1980, tc_HOL_Obool)))), _u1970) )).
% 43.37/43.62 cnf(matrix-1680, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1993, tc_HOL_Obool)), _u1994), hAPP(_u1995, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1993, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), _u1995)), _u1994))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1993, tc_HOL_Obool), _u1995)))))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), _u1995) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1993, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1993, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), _u1995)), _u1994))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1993, tc_HOL_Obool), _u1995)))), hAPP(_u1995, c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u1993, tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u1993, tc_HOL_Obool), tc_fun(tc_fun(_u1993, tc_HOL_Obool), tc_fun(_u1993, tc_HOL_Obool)), tc_fun(_u1993, tc_HOL_Obool)), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u1993, tc_HOL_Obool))), _u1995)), _u1994))), c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u1993, tc_HOL_Obool), _u1995)))))) )).
% 43.37/43.62 cnf(matrix-1681, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u1996), hAPP(c_Nat_OSuc, _u1997)) = 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), _u1996), _u1997))) )).
% 43.37/43.62 cnf(matrix-1682, plain, ( ~class_Orderings_Oorder(_u1998) | ~class_Enum_Oenum(_u1999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1999, _u1998)), _u2000), _u2001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1999, _u1998)), _u2000), _u2001)) )).
% 43.37/43.62 cnf(matrix-1683, plain, ( ~class_Orderings_Oorder(_u1998) | ~class_Enum_Oenum(_u1999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1999, _u1998)), _u2000), _u2001)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u1999), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1999), c_fNot), hAPP(hAPP(c_COMBS(_u1999, _u1998, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u1998, tc_fun(_u1998, tc_HOL_Obool), _u1999), c_fequal), _u2000)), _u2001)))) )).
% 43.37/43.62 cnf(matrix-1684, plain, ( ~class_Orderings_Oorder(_u1998) | ~class_Enum_Oenum(_u1999) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u1999, _u1998)), _u2000), _u2001)) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u1999), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u1999), c_fNot), hAPP(hAPP(c_COMBS(_u1999, _u1998, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u1998, tc_fun(_u1998, tc_HOL_Obool), _u1999), c_fequal), _u2000)), _u2001)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u1999, _u1998)), _u2000), _u2001)) )).
% 43.37/43.62 cnf(matrix-1685, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2006), _u2008), _u2010)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2006, tc_Nat_Onat), _u2012), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2006, tc_HOL_Obool)), _u2010), hAPP(hAPP(c_Set_Oinsert(_u2006), _u2008), c_Orderings_Obot__class_Obot(tc_fun(_u2006, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2006, tc_Nat_Onat), _u2012), _u2010)), hAPP(_u2012, _u2008))) )).
% 43.37/43.62 cnf(matrix-1686, plain, ( hBOOL(hAPP(hAPP(c_member(_u2007), _u2009), _u2011)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2007, tc_Nat_Onat), _u2013), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2007, tc_HOL_Obool)), _u2011), hAPP(hAPP(c_Set_Oinsert(_u2007), _u2009), c_Orderings_Obot__class_Obot(tc_fun(_u2007, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2007, tc_Nat_Onat), _u2013), _u2011)) )).
% 43.37/43.62 cnf(matrix-1687, plain, ( ~c_Fun_Oinj__on(_u2019, _u2021, _u2023, hAPP(hAPP(c_Set_Oinsert(_u2019), _u2025), _u2027)) | c_Fun_Oinj__on(_u2019, _u2021, _u2023, _u2027) )).
% 43.37/43.62 cnf(matrix-1688, plain, ( ~c_Fun_Oinj__on(_u2019, _u2021, _u2023, hAPP(hAPP(c_Set_Oinsert(_u2019), _u2025), _u2027)) | ~hBOOL(hAPP(hAPP(c_member(_u2021), hAPP(_u2023, _u2025)), hAPP(c_Set_Oimage(_u2019, _u2021, _u2023), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2019, tc_HOL_Obool)), _u2027), hAPP(hAPP(c_Set_Oinsert(_u2019), _u2025), c_Orderings_Obot__class_Obot(tc_fun(_u2019, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-1689, plain, ( ~c_Fun_Oinj__on(_u2020, _u2022, _u2024, _u2028) | hBOOL(hAPP(hAPP(c_member(_u2022), hAPP(_u2024, _u2026)), hAPP(c_Set_Oimage(_u2020, _u2022, _u2024), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2020, tc_HOL_Obool)), _u2028), hAPP(hAPP(c_Set_Oinsert(_u2020), _u2026), c_Orderings_Obot__class_Obot(tc_fun(_u2020, tc_HOL_Obool))))))) | c_Fun_Oinj__on(_u2020, _u2022, _u2024, hAPP(hAPP(c_Set_Oinsert(_u2020), _u2026), _u2028)) )).
% 43.37/43.62 cnf(matrix-1690, plain, ( ~hBOOL(hAPP(_u2030, _u2031)) | ~hBOOL(hAPP(_u2032, _u2033)) | hBOOL(hAPP(_u2030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2030) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2032))) | hBOOL(hAPP(_u2030, hAPP(c_Nat_OSuc, skolem37(_u2033, _u2032, _u2031, _u2030)))) | hBOOL(hAPP(_u2032, skolem38(_u2033, _u2032, _u2031, _u2030))) )).
% 43.37/43.62 cnf(matrix-1691, plain, ( ~hBOOL(hAPP(_u2030, _u2031)) | ~hBOOL(hAPP(_u2032, _u2033)) | hBOOL(hAPP(_u2030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2030) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2032))) | hBOOL(hAPP(_u2030, hAPP(c_Nat_OSuc, skolem37(_u2033, _u2032, _u2031, _u2030)))) | ~hBOOL(hAPP(_u2030, hAPP(c_Nat_OSuc, skolem38(_u2033, _u2032, _u2031, _u2030)))) )).
% 43.37/43.62 cnf(matrix-1692, plain, ( ~hBOOL(hAPP(_u2030, _u2031)) | ~hBOOL(hAPP(_u2032, _u2033)) | hBOOL(hAPP(_u2030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2030) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2032))) | ~hBOOL(hAPP(_u2032, skolem37(_u2033, _u2032, _u2031, _u2030))) | hBOOL(hAPP(_u2032, skolem38(_u2033, _u2032, _u2031, _u2030))) )).
% 43.37/43.62 cnf(matrix-1693, plain, ( ~hBOOL(hAPP(_u2030, _u2031)) | ~hBOOL(hAPP(_u2032, _u2033)) | hBOOL(hAPP(_u2030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2030) = hAPP(c_Nat_OSuc, c_Orderings_Oord__class_OLeast(tc_Nat_Onat, _u2032))) | ~hBOOL(hAPP(_u2032, skolem37(_u2033, _u2032, _u2031, _u2030))) | ~hBOOL(hAPP(_u2030, hAPP(c_Nat_OSuc, skolem38(_u2033, _u2032, _u2031, _u2030)))) )).
% 43.37/43.62 cnf(matrix-1694, plain, ( ( hAPP(c_Fun_Othe__inv__into(_u2036, _u2037, _u2038, _u2039), _u2040) = c_HOL_OThe(_u2036, hAPP(hAPP(c_COMBS(_u2036, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u2036), c_fconj), hAPP(hAPP(c_COMBC(_u2036, tc_fun(_u2036, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2036)), _u2038))), hAPP(hAPP(c_COMBC(_u2036, _u2037, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u2037, tc_fun(_u2037, tc_HOL_Obool), _u2036), c_fequal), _u2039)), _u2040)))) )).
% 43.37/43.62 cnf(matrix-1695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2041), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-1696, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2042), hAPP(c_Nat_OSuc, _u2042))) )).
% 43.37/43.62 cnf(matrix-1697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2043), _u2044)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2043)), hAPP(c_Nat_OSuc, _u2044))) )).
% 43.37/43.62 cnf(matrix-1698, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Nat_OSuc, _u2045))) )).
% 43.37/43.62 cnf(matrix-1699, plain, ( c_Fun_Oinj__on(_u2046, _u2047, _u2048, c_Orderings_Obot__class_Obot(tc_fun(_u2046, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1700, plain, ( ~class_Groups_Ocomm__monoid__add(_u2049) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2050, _u2049), hAPP(hAPP(c_COMBC(_u2050, tc_fun(_u2051, tc_HOL_Obool), _u2049), hAPP(hAPP(c_COMBB(tc_fun(_u2051, _u2049), tc_fun(tc_fun(_u2051, tc_HOL_Obool), _u2049), _u2050), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2049)), _u2052)), _u2053)), _u2054) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2051, _u2049), hAPP(hAPP(c_COMBC(_u2051, tc_fun(_u2050, tc_HOL_Obool), _u2049), hAPP(hAPP(c_COMBB(tc_fun(_u2050, _u2049), tc_fun(tc_fun(_u2050, tc_HOL_Obool), _u2049), _u2051), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2050, _u2049)), hAPP(c_COMBC(_u2050, _u2051, _u2049), _u2052))), _u2054)), _u2053)) )).
% 43.37/43.62 cnf(matrix-1701, plain, ( ~c_Fun_Oinj__on(_u2063, _u2065, _u2067, _u2069) | ~hBOOL(hAPP(hAPP(c_member(_u2063), _u2056), _u2069)) | ~hBOOL(hAPP(hAPP(c_member(_u2063), _u2055), _u2069)) | ( hAPP(_u2067, _u2056) != hAPP(_u2067, _u2055)) | ( _u2056 = _u2055) )).
% 43.37/43.62 cnf(matrix-1702, plain, ( c_Fun_Oinj__on(_u2064, _u2066, _u2068, _u2070) | hBOOL(hAPP(hAPP(c_member(_u2064), skolem39(_u2070, _u2068, _u2066, _u2064)), _u2070)) )).
% 43.37/43.62 cnf(matrix-1703, plain, ( c_Fun_Oinj__on(_u2064, _u2066, _u2068, _u2070) | hBOOL(hAPP(hAPP(c_member(_u2064), skolem40(_u2070, _u2068, _u2066, _u2064)), _u2070)) )).
% 43.37/43.62 cnf(matrix-1704, plain, ( c_Fun_Oinj__on(_u2064, _u2066, _u2068, _u2070) | ( hAPP(_u2068, skolem39(_u2070, _u2068, _u2066, _u2064)) = hAPP(_u2068, skolem40(_u2070, _u2068, _u2066, _u2064))) )).
% 43.37/43.62 cnf(matrix-1705, plain, ( c_Fun_Oinj__on(_u2064, _u2066, _u2068, _u2070) | ( skolem39(_u2070, _u2068, _u2066, _u2064) != skolem40(_u2070, _u2068, _u2066, _u2064)) )).
% 43.37/43.62 cnf(matrix-1706, plain, ( c_Fun_Oinj__on(_u2071, _u2071, c_COMBI(_u2071), _u2072) )).
% 43.37/43.62 cnf(matrix-1707, plain, ( ~c_Fun_Oinj__on(_u2073, _u2074, _u2075, _u2076) | ~hBOOL(hAPP(hAPP(c_member(_u2073), _u2077), _u2076)) | ( hAPP(c_Fun_Othe__inv__into(_u2073, _u2074, _u2076, _u2075), hAPP(_u2075, _u2077)) = _u2077) )).
% 43.37/43.62 cnf(matrix-1708, plain, ( ~c_Fun_Oinj__on(_u2078, _u2079, _u2080, _u2081) | ( hAPP(_u2080, _u2082) != _u2083) | ~hBOOL(hAPP(hAPP(c_member(_u2078), _u2082), _u2081)) | ( hAPP(c_Fun_Othe__inv__into(_u2078, _u2079, _u2081, _u2080), _u2083) = _u2082) )).
% 43.37/43.62 cnf(matrix-1709, plain, ( ~class_Enum_Oenum(_u2086) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2086), _u2087)) | hBOOL(hAPP(_u2087, skolem41(_u2087, _u2086))) )).
% 43.37/43.62 cnf(matrix-1710, plain, ( ~class_Enum_Oenum(_u2086) | ~hBOOL(hAPP(_u2087, _u2085)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2086), _u2087)) )).
% 43.37/43.62 cnf(matrix-1711, plain, ( ~class_Enum_Oenum(_u2090) | ~hBOOL(hAPP(_u2091, _u2088)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2090), _u2091)) )).
% 43.37/43.62 cnf(matrix-1712, plain, ( ~class_Enum_Oenum(_u2090) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u2090), _u2091)) | hBOOL(hAPP(_u2091, skolem42(_u2091, _u2090))) )).
% 43.37/43.62 cnf(matrix-1713, plain, ( ~c_Fun_Oinj__on(_u2092, _u2093, _u2094, _u2095) | ( hAPP(c_Set_Oimage(_u2093, _u2092, c_Fun_Othe__inv__into(_u2092, _u2093, _u2095, _u2094)), hAPP(c_Set_Oimage(_u2092, _u2093, _u2094), _u2095)) = _u2095) )).
% 43.37/43.62 cnf(matrix-1714, plain, ( ~c_Fun_Oinj__on(_u2096, _u2097, _u2098, _u2099) | c_Fun_Oinj__on(_u2097, _u2096, c_Fun_Othe__inv__into(_u2096, _u2097, _u2099, _u2098), hAPP(c_Set_Oimage(_u2096, _u2097, _u2098), _u2099)) )).
% 43.37/43.62 cnf(matrix-1715, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2100) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u2100, hAPP(c_COMBK(_u2100, _u2100), _u2101)) = _u2101) )).
% 43.37/43.62 cnf(matrix-1716, plain, ( ~c_Fun_Oinj__on(_u2102, _u2103, _u2104, _u2105) | ( _u2106 = _u2107) | ~hBOOL(hAPP(hAPP(c_member(_u2102), _u2106), _u2105)) | ~hBOOL(hAPP(hAPP(c_member(_u2102), _u2107), _u2105)) | ( hAPP(_u2104, _u2106) != hAPP(_u2104, _u2107)) )).
% 43.37/43.62 cnf(matrix-1717, plain, ( ~c_Fun_Oinj__on(_u2108, _u2109, _u2110, _u2111) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2112), _u2111)) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2113), _u2111)) | ( hAPP(_u2110, _u2112) != hAPP(_u2110, _u2113)) | ( _u2112 = _u2113) )).
% 43.37/43.62 cnf(matrix-1718, plain, ( ~c_Fun_Oinj__on(_u2108, _u2109, _u2110, _u2111) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2112), _u2111)) | ~hBOOL(hAPP(hAPP(c_member(_u2108), _u2113), _u2111)) | ( _u2112 != _u2113) | ( hAPP(_u2110, _u2112) = hAPP(_u2110, _u2113)) )).
% 43.37/43.62 cnf(matrix-1719, plain, ( ~c_Fun_Oinj__on(_u2114, _u2115, _u2116, _u2117) | ( hAPP(_u2116, _u2118) != hAPP(_u2116, _u2119)) | ~hBOOL(hAPP(hAPP(c_member(_u2114), _u2118), _u2117)) | ~hBOOL(hAPP(hAPP(c_member(_u2114), _u2119), _u2117)) | ( _u2118 = _u2119) )).
% 43.37/43.62 cnf(matrix-1720, plain, ( c_Fun_Oinj__on(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc, _u2120) )).
% 43.37/43.62 cnf(matrix-1721, plain, ( ~c_Fun_Oinj__on(_u2121, _u2122, _u2123, _u2124) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2121, tc_HOL_Obool)), _u2125), _u2124)) | c_Fun_Oinj__on(_u2121, _u2122, _u2123, _u2125) )).
% 43.37/43.62 cnf(matrix-1722, plain, ( ~c_Fun_Oinj__on(_u2126, _u2127, _u2128, _u2129) | c_Fun_Oinj__on(_u2126, _u2127, _u2128, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2126, tc_HOL_Obool)), _u2129), _u2130)) )).
% 43.37/43.62 cnf(matrix-1723, plain, ( ~c_Fun_Oinj__on(_u2131, _u2132, _u2133, _u2134) | ~hBOOL(hAPP(hAPP(c_member(_u2132), _u2135), hAPP(c_Set_Oimage(_u2131, _u2132, _u2133), _u2134))) | ( hAPP(_u2133, hAPP(c_Fun_Othe__inv__into(_u2131, _u2132, _u2134, _u2133), _u2135)) = _u2135) )).
% 43.37/43.62 cnf(matrix-1724, plain, ( ( _u2136 = 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)), _u2136)) )).
% 43.37/43.62 cnf(matrix-1725, plain, ( ( _u2138 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2137), _u2138)) )).
% 43.37/43.62 cnf(matrix-1726, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2139), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-1727, plain, ( ( _u2141 = 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)), _u2141)) )).
% 43.37/43.62 cnf(matrix-1728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2142)) | ( _u2142 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2143), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-1730, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2146), _u2148)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2148), hAPP(c_Nat_OSuc, _u2146))) )).
% 43.37/43.62 cnf(matrix-1731, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2149), hAPP(c_Nat_OSuc, _u2147))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2147), _u2149)) )).
% 43.37/43.62 cnf(matrix-1732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2152), hAPP(c_Nat_OSuc, _u2154))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2152), _u2154)) | ( _u2152 = _u2154) )).
% 43.37/43.62 cnf(matrix-1733, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2153), hAPP(c_Nat_OSuc, _u2155))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2153), _u2155)) )).
% 43.37/43.62 cnf(matrix-1734, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2153), hAPP(c_Nat_OSuc, _u2155))) | ( _u2153 != _u2155) )).
% 43.37/43.62 cnf(matrix-1735, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2158)), hAPP(c_Nat_OSuc, _u2160))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2158), _u2160)) )).
% 43.37/43.62 cnf(matrix-1736, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2159), _u2161)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2159)), hAPP(c_Nat_OSuc, _u2161))) )).
% 43.37/43.62 cnf(matrix-1737, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2162), _u2163)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2162), hAPP(c_Nat_OSuc, _u2163))) | ( _u2162 = _u2163) )).
% 43.37/43.62 cnf(matrix-1738, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2162), _u2163)) | ( _u2162 != _u2163) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2162), hAPP(c_Nat_OSuc, _u2163))) )).
% 43.37/43.62 cnf(matrix-1739, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2164), _u2165)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2164), hAPP(c_Nat_OSuc, _u2165))) | ( _u2165 = _u2164) )).
% 43.37/43.62 cnf(matrix-1740, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2166), _u2167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2166), hAPP(c_Nat_OSuc, _u2167))) )).
% 43.37/43.62 cnf(matrix-1741, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2168), _u2169)) | ( hAPP(c_Nat_OSuc, _u2168) = _u2169) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2168)), _u2169)) )).
% 43.37/43.62 cnf(matrix-1742, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2170), _u2171)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2171), _u2172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2170)), _u2172)) )).
% 43.37/43.62 cnf(matrix-1743, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2173), hAPP(c_Nat_OSuc, _u2174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2173), _u2174)) | ( _u2173 = _u2174) )).
% 43.37/43.62 cnf(matrix-1744, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2175)), _u2176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2175), _u2176)) )).
% 43.37/43.62 cnf(matrix-1745, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2177)), hAPP(c_Nat_OSuc, _u2178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2177), _u2178)) )).
% 43.37/43.62 cnf(matrix-1746, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2179), _u2180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2179), _u2180)) )).
% 43.37/43.62 cnf(matrix-1747, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2179), _u2180)) | ( _u2179 != _u2180) )).
% 43.37/43.62 cnf(matrix-1748, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2181), _u2182)) | ( _u2181 = _u2182) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2181), _u2182)) )).
% 43.37/43.62 cnf(matrix-1749, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2183), _u2184)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2183), _u2184)) )).
% 43.37/43.62 cnf(matrix-1750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2187), _u2189)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2187), _u2189)) | ( _u2187 = _u2189) )).
% 43.37/43.62 cnf(matrix-1751, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2188), _u2190)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2188), _u2190)) )).
% 43.37/43.62 cnf(matrix-1752, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2188), _u2190)) | ( _u2188 != _u2190) )).
% 43.37/43.62 cnf(matrix-1753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2193), _u2195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2193), _u2195)) )).
% 43.37/43.62 cnf(matrix-1754, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2193), _u2195)) | ( _u2193 != _u2195) )).
% 43.37/43.62 cnf(matrix-1755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2194), _u2196)) | ( _u2194 = _u2196) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2194), _u2196)) )).
% 43.37/43.62 cnf(matrix-1756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2197), _u2198)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2197), _u2199)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2199), _u2198)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2199), _u2197))) )).
% 43.37/43.62 cnf(matrix-1757, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2200), _u2201)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2200), _u2202)), _u2201)) )).
% 43.37/43.62 cnf(matrix-1758, plain, ( ~class_Groups_Ocomm__monoid__add(_u2203) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2204, _u2203), hAPP(c_COMBK(_u2203, _u2204), c_Groups_Ozero__class_Ozero(_u2203))), _u2205) = c_Groups_Ozero__class_Ozero(_u2203)) )).
% 43.37/43.62 cnf(matrix-1759, plain, ( ~class_Groups_Oab__group__add(_u2206) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2207, _u2206), hAPP(hAPP(c_COMBS(_u2207, _u2206, _u2206), hAPP(hAPP(c_COMBB(_u2206, tc_fun(_u2206, _u2206), _u2207), c_Groups_Ominus__class_Ominus(_u2206)), _u2208)), _u2209)), _u2210) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2206), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2207, _u2206), _u2208), _u2210)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2207, _u2206), _u2209), _u2210))) )).
% 43.37/43.62 cnf(matrix-1760, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2211) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), hAPP(_u2212, _u2213)), _u2213)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2211), c_Inductive_Ocomplete__lattice__class_Olfp(_u2211, _u2212)), _u2213)) )).
% 43.37/43.62 cnf(matrix-1761, plain, ( ~c_Fun_Oinj__on(_u2214, _u2215, _u2216, _u2217) | ~hBOOL(hAPP(hAPP(c_member(_u2215), _u2218), hAPP(c_Set_Oimage(_u2214, _u2215, _u2216), _u2217))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2214, tc_HOL_Obool)), _u2217), _u2219)) | hBOOL(hAPP(hAPP(c_member(_u2214), hAPP(c_Fun_Othe__inv__into(_u2214, _u2215, _u2217, _u2216), _u2218)), _u2219)) )).
% 43.37/43.62 cnf(matrix-1762, plain, ( ~class_Groups_Ocomm__monoid__add(_u2220) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2221, _u2220), _u2222), c_Orderings_Obot__class_Obot(tc_fun(_u2221, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u2220)) )).
% 43.37/43.62 cnf(matrix-1763, plain, ( ~class_Groups_Ocomm__monoid__add(_u2223) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2224, _u2223), _u2225), c_Orderings_Obot__class_Obot(tc_fun(_u2224, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(_u2223)) )).
% 43.37/43.62 cnf(matrix-1764, plain, ( ~c_Fun_Oinj__on(_u2226, _u2227, _u2228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2226, tc_HOL_Obool)), _u2229), _u2230)) | ( hAPP(c_Set_Oimage(_u2226, _u2227, _u2228), _u2229) != hAPP(c_Set_Oimage(_u2226, _u2227, _u2228), _u2230)) | ( _u2229 = _u2230) )).
% 43.37/43.62 cnf(matrix-1765, plain, ( ~c_Fun_Oinj__on(_u2226, _u2227, _u2228, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2226, tc_HOL_Obool)), _u2229), _u2230)) | ( _u2229 != _u2230) | ( hAPP(c_Set_Oimage(_u2226, _u2227, _u2228), _u2229) = hAPP(c_Set_Oimage(_u2226, _u2227, _u2228), _u2230)) )).
% 43.37/43.62 cnf(matrix-1766, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2231) | ~c_Orderings_Oorder__class_Omono(_u2231, _u2231, _u2232) | ( c_Inductive_Ocomplete__lattice__class_Olfp(_u2231, _u2232) = hAPP(_u2232, c_Inductive_Ocomplete__lattice__class_Olfp(_u2231, _u2232))) )).
% 43.37/43.62 cnf(matrix-1767, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2233) | ( _u2234 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2233, _u2235)) | ~c_Orderings_Oorder__class_Omono(_u2233, _u2233, _u2235) | ( _u2234 = hAPP(_u2235, _u2234)) )).
% 43.37/43.62 cnf(matrix-1768, plain, ( ~c_Fun_Oinj__on(_u2236, _u2237, _u2238, _u2239) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2236, tc_HOL_Obool)), _u2240), _u2239)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u2237, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2236, _u2237, _u2238), _u2240)), hAPP(c_Set_Oimage(_u2236, _u2237, _u2238), _u2239))) )).
% 43.37/43.62 cnf(matrix-1769, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2245), hAPP(c_Nat_OSuc, _u2247))) | ( _u2245 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u2245 = hAPP(c_Nat_OSuc, skolem43(_u2247, _u2245))) )).
% 43.37/43.62 cnf(matrix-1770, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2245), hAPP(c_Nat_OSuc, _u2247))) | ( _u2245 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem43(_u2247, _u2245)), _u2247)) )).
% 43.37/43.62 cnf(matrix-1771, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2246), hAPP(c_Nat_OSuc, _u2248))) | ( _u2246 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1772, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2246), hAPP(c_Nat_OSuc, _u2248))) | ( _u2246 != hAPP(c_Nat_OSuc, _u2242)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2242), _u2248)) )).
% 43.37/43.62 cnf(matrix-1773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2250), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) | ( _u2250 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1774, plain, ( ( _u2251 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2251), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.62 cnf(matrix-1775, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2255)) | ( _u2255 = hAPP(c_Nat_OSuc, skolem44(_u2255))) )).
% 43.37/43.62 cnf(matrix-1776, plain, ( ( _u2256 != hAPP(c_Nat_OSuc, _u2253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2256)) )).
% 43.37/43.62 cnf(matrix-1777, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2257)), _u2258)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2257), _u2258)) )).
% 43.37/43.62 cnf(matrix-1778, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2259), _u2260)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2260), hAPP(c_Nat_OSuc, _u2259))) | ( _u2260 = _u2259) )).
% 43.37/43.62 cnf(matrix-1779, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2259), _u2260)) | ( _u2260 != _u2259) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2260), hAPP(c_Nat_OSuc, _u2259))) )).
% 43.37/43.62 cnf(matrix-1780, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2261), _u2262)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2261)), _u2262)) )).
% 43.37/43.62 cnf(matrix-1781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2263), _u2264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2263), hAPP(c_Nat_OSuc, _u2264))) )).
% 43.37/43.62 cnf(matrix-1782, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2267)), _u2269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2267), _u2269)) )).
% 43.37/43.62 cnf(matrix-1783, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2268), _u2270)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2268)), _u2270)) )).
% 43.37/43.62 cnf(matrix-1784, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2273), hAPP(c_Nat_OSuc, _u2275))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2273), _u2275)) )).
% 43.37/43.62 cnf(matrix-1785, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2274), _u2276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2274), hAPP(c_Nat_OSuc, _u2276))) )).
% 43.37/43.62 cnf(matrix-1786, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2279), _u2281)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2279)), _u2281)) )).
% 43.37/43.62 cnf(matrix-1787, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2280)), _u2282)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2280), _u2282)) )).
% 43.37/43.62 cnf(matrix-1788, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2283)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2284)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2284), _u2283)), _u2284)) )).
% 43.37/43.62 cnf(matrix-1789, 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), _u2287), _u2289))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2289), _u2287)) )).
% 43.37/43.62 cnf(matrix-1790, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2290), _u2288)) | 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), _u2288), _u2290))) )).
% 43.37/43.62 cnf(matrix-1791, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2291), _u2292)), hAPP(c_Nat_OSuc, _u2291))) )).
% 43.37/43.62 cnf(matrix-1792, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2294), _u2293)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2295), _u2293))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2294), _u2295)) )).
% 43.37/43.62 cnf(matrix-1793, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2294)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2293), _u2295)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2294), _u2295)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2294), _u2293)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2295), _u2293))) )).
% 43.37/43.62 cnf(matrix-1794, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2296), _u2297)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u2298), _u2296)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2296), _u2298)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2297), _u2298))) )).
% 43.37/43.62 cnf(matrix-1795, plain, ( ( hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2299) = hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u2299))) )).
% 43.37/43.62 cnf(matrix-1796, plain, ( ~c_Fun_Oinj__on(_u2300, _u2301, _u2302, _u2303) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2300, tc_HOL_Obool)), _u2304), _u2303)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2300, tc_HOL_Obool)), _u2305), _u2303)) | ( hAPP(c_Set_Oimage(_u2300, _u2301, _u2302), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2300, tc_HOL_Obool)), _u2304), _u2305)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2301, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2300, _u2301, _u2302), _u2304)), hAPP(c_Set_Oimage(_u2300, _u2301, _u2302), _u2305))) )).
% 43.37/43.62 cnf(matrix-1797, plain, ( ~c_Fun_Oinj__on(_u2306, _u2307, _u2308, _u2309) | hBOOL(hAPP(hAPP(c_member(_u2307), _u2310), hAPP(c_Set_Oimage(_u2306, _u2307, _u2308), _u2309))) | c_Fun_Oinj__on(_u2306, _u2307, c_Fun_Ofun__upd(_u2306, _u2307, _u2308, _u2311, _u2310), _u2309) )).
% 43.37/43.62 cnf(matrix-1798, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2312)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2312), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) = _u2312) )).
% 43.37/43.62 cnf(matrix-1799, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u2313)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u2313), hAPP(c_Nat_OSuc, _u2314))), _u2313)) )).
% 43.37/43.62 cnf(matrix-1800, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2315) | ~c_Orderings_Oorder__class_Omono(_u2315, _u2315, _u2316) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2315), hAPP(_u2316, c_Inductive_Ocomplete__lattice__class_Olfp(_u2315, _u2316))), c_Inductive_Ocomplete__lattice__class_Olfp(_u2315, _u2316))) )).
% 43.37/43.62 cnf(matrix-1801, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2317) | ~c_Orderings_Oorder__class_Omono(_u2317, _u2317, _u2318) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2317), c_Inductive_Ocomplete__lattice__class_Olfp(_u2317, _u2318)), hAPP(_u2318, c_Inductive_Ocomplete__lattice__class_Olfp(_u2317, _u2318)))) )).
% 43.37/43.62 cnf(matrix-1802, plain, ( ( _u2323 = c_Orderings_Obot__class_Obot(tc_fun(_u2324, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u2324, _u2325, _u2319, _u2323) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2325, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2324, _u2325, _u2319), _u2323)), _u2326)) | ( hAPP(c_Set_Oimage(_u2325, _u2324, skolem45(_u2326, _u2325, _u2324, _u2323)), _u2326) = _u2323) )).
% 43.37/43.62 cnf(matrix-1803, plain, ( ( _u2323 = c_Orderings_Obot__class_Obot(tc_fun(_u2324, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2325, _u2324, _u2321), _u2326) != _u2323) | c_Fun_Oinj__on(_u2324, _u2325, skolem46(_u2326, _u2325, _u2324, _u2323), _u2323) )).
% 43.37/43.62 cnf(matrix-1804, plain, ( ( _u2323 = c_Orderings_Obot__class_Obot(tc_fun(_u2324, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u2325, _u2324, _u2321), _u2326) != _u2323) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2325, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2324, _u2325, skolem46(_u2326, _u2325, _u2324, _u2323)), _u2323)), _u2326)) )).
% 43.37/43.62 cnf(matrix-1805, plain, ( ~class_Groups_Oab__group__add(_u2327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2328), _u2329)) | ~hBOOL(hAPP(hAPP(c_member(_u2328), _u2330), _u2329)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2328, _u2327), _u2331), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2328, tc_HOL_Obool)), _u2329), hAPP(hAPP(c_Set_Oinsert(_u2328), _u2330), c_Orderings_Obot__class_Obot(tc_fun(_u2328, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2327), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2328, _u2327), _u2331), _u2329)), hAPP(_u2331, _u2330))) )).
% 43.37/43.62 cnf(matrix-1806, plain, ( ~class_Groups_Oab__group__add(_u2327) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2328), _u2329)) | hBOOL(hAPP(hAPP(c_member(_u2328), _u2330), _u2329)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2328, _u2327), _u2331), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2328, tc_HOL_Obool)), _u2329), hAPP(hAPP(c_Set_Oinsert(_u2328), _u2330), c_Orderings_Obot__class_Obot(tc_fun(_u2328, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2328, _u2327), _u2331), _u2329)) )).
% 43.37/43.62 cnf(matrix-1807, plain, ( ~class_Rings_Oring(_u2332) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2333), _u2334)) | ~hBOOL(hAPP(hAPP(c_member(_u2333), _u2335), _u2334)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2333, _u2332), _u2336), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2333, tc_HOL_Obool)), _u2334), hAPP(hAPP(c_Set_Oinsert(_u2333), _u2335), c_Orderings_Obot__class_Obot(tc_fun(_u2333, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2332), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2333, _u2332), _u2336), _u2334)), hAPP(_u2336, _u2335))) )).
% 43.37/43.62 cnf(matrix-1808, plain, ( ~c_Fun_Oinj__on(_u2342, _u2344, _u2346, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2342, tc_HOL_Obool)), _u2348), _u2350)) | c_Fun_Oinj__on(_u2342, _u2344, _u2346, _u2348) )).
% 43.37/43.62 cnf(matrix-1809, plain, ( ~c_Fun_Oinj__on(_u2342, _u2344, _u2346, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2342, tc_HOL_Obool)), _u2348), _u2350)) | c_Fun_Oinj__on(_u2342, _u2344, _u2346, _u2350) )).
% 43.37/43.62 cnf(matrix-1810, plain, ( ~c_Fun_Oinj__on(_u2342, _u2344, _u2346, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2342, tc_HOL_Obool)), _u2348), _u2350)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2344, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2342, _u2344, _u2346), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2342, tc_HOL_Obool)), _u2348), _u2350))), hAPP(c_Set_Oimage(_u2342, _u2344, _u2346), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2342, tc_HOL_Obool)), _u2350), _u2348))) = c_Orderings_Obot__class_Obot(tc_fun(_u2344, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1811, plain, ( ~c_Fun_Oinj__on(_u2343, _u2345, _u2347, _u2349) | ~c_Fun_Oinj__on(_u2343, _u2345, _u2347, _u2351) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2345, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2343, _u2345, _u2347), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2343, tc_HOL_Obool)), _u2349), _u2351))), hAPP(c_Set_Oimage(_u2343, _u2345, _u2347), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2343, tc_HOL_Obool)), _u2351), _u2349))) != c_Orderings_Obot__class_Obot(tc_fun(_u2345, tc_HOL_Obool))) | c_Fun_Oinj__on(_u2343, _u2345, _u2347, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2343, tc_HOL_Obool)), _u2349), _u2351)) )).
% 43.37/43.62 cnf(matrix-1812, plain, ( ~class_Groups_Ocomm__monoid__add(_u2353) | ~c_Fun_Oinj__on(_u2354, _u2355, _u2356, _u2357) | ( _u2358 != hAPP(c_Set_Oimage(_u2354, _u2355, _u2356), _u2357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2355, _u2353), _u2360), _u2358) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2354, _u2353), _u2359), _u2357)) | hBOOL(hAPP(hAPP(c_member(_u2354), skolem47(_u2360, _u2359, _u2358, _u2357, _u2356, _u2355, _u2354, _u2353)), _u2357)) )).
% 43.37/43.62 cnf(matrix-1813, plain, ( ~class_Groups_Ocomm__monoid__add(_u2353) | ~c_Fun_Oinj__on(_u2354, _u2355, _u2356, _u2357) | ( _u2358 != hAPP(c_Set_Oimage(_u2354, _u2355, _u2356), _u2357)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2355, _u2353), _u2360), _u2358) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2354, _u2353), _u2359), _u2357)) | ( hAPP(_u2359, skolem47(_u2360, _u2359, _u2358, _u2357, _u2356, _u2355, _u2354, _u2353)) != hAPP(_u2360, hAPP(_u2356, skolem47(_u2360, _u2359, _u2358, _u2357, _u2356, _u2355, _u2354, _u2353)))) )).
% 43.37/43.62 cnf(matrix-1814, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2361), _u2362)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2361, tc_HOL_Obool)), _u2362), _u2363)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2361, tc_Nat_Onat), _u2364), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2361, tc_HOL_Obool)), _u2363), _u2362)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2361, tc_Nat_Onat), _u2364), _u2363)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2361, tc_Nat_Onat), _u2364), _u2362))) )).
% 43.37/43.62 cnf(matrix-1815, plain, ( ~class_Groups_Oab__group__add(_u2365) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2366), _u2367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2366, tc_HOL_Obool)), _u2368), _u2367)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2366, _u2365), _u2369), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2366, tc_HOL_Obool)), _u2367), _u2368)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u2365), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2366, _u2365), _u2369), _u2367)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2366, _u2365), _u2369), _u2368))) )).
% 43.37/43.62 cnf(matrix-1816, plain, ( ~class_Groups_Ocomm__monoid__add(_u2371) | ~class_Groups_Oordered__ab__semigroup__add(_u2371) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2372, _u2371), _u2374), _u2373)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2372, _u2371), _u2375), _u2373))) | hBOOL(hAPP(hAPP(c_member(_u2372), skolem48(_u2375, _u2374, _u2373, _u2372, _u2371)), _u2373)) )).
% 43.37/43.62 cnf(matrix-1817, plain, ( ~class_Groups_Ocomm__monoid__add(_u2371) | ~class_Groups_Oordered__ab__semigroup__add(_u2371) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2372, _u2371), _u2374), _u2373)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2372, _u2371), _u2375), _u2373))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2371), hAPP(_u2374, skolem48(_u2375, _u2374, _u2373, _u2372, _u2371))), hAPP(_u2375, skolem48(_u2375, _u2374, _u2373, _u2372, _u2371)))) )).
% 43.37/43.62 cnf(matrix-1818, plain, ( ~c_Partial__Function_Omk__less(_u2380, _u2382, _u2384, _u2386) | hBOOL(hAPP(hAPP(_u2382, _u2384), _u2386)) )).
% 43.37/43.62 cnf(matrix-1819, plain, ( ~c_Partial__Function_Omk__less(_u2380, _u2382, _u2384, _u2386) | ~hBOOL(hAPP(hAPP(_u2382, _u2386), _u2384)) )).
% 43.37/43.62 cnf(matrix-1820, plain, ( ~hBOOL(hAPP(hAPP(_u2383, _u2385), _u2387)) | hBOOL(hAPP(hAPP(_u2383, _u2387), _u2385)) | c_Partial__Function_Omk__less(_u2381, _u2383, _u2385, _u2387) )).
% 43.37/43.62 cnf(matrix-1821, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2389, tc_Nat_Onat), _u2390), _u2391) != hAPP(c_Nat_OSuc, _u2392)) | hBOOL(hAPP(hAPP(c_member(_u2389), skolem49(_u2392, _u2391, _u2390, _u2389)), _u2391)) )).
% 43.37/43.62 cnf(matrix-1822, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2389, tc_Nat_Onat), _u2390), _u2391) != hAPP(c_Nat_OSuc, _u2392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u2390, skolem49(_u2392, _u2391, _u2390, _u2389)))) )).
% 43.37/43.62 cnf(matrix-1823, plain, ( ~hBOOL(hAPP(_u2393, _u2394)) | ~hBOOL(hAPP(_u2395, _u2394)) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2396, tc_HOL_Obool)), _u2393), _u2395), _u2394)) )).
% 43.37/43.62 cnf(matrix-1824, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2397, tc_HOL_Obool)), _u2398), _u2399), _u2400)) | hBOOL(hAPP(_u2398, _u2400)) )).
% 43.37/43.62 cnf(matrix-1825, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2397, tc_HOL_Obool)), _u2398), _u2399), _u2400)) | hBOOL(hAPP(_u2399, _u2400)) )).
% 43.37/43.62 cnf(matrix-1826, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2401), _u2402), _u2403)) | ~hBOOL(hAPP(hAPP(c_member(_u2401), _u2402), _u2404)) | hBOOL(hAPP(hAPP(c_member(_u2401), _u2402), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2401, tc_HOL_Obool)), _u2403), _u2404))) )).
% 43.37/43.62 cnf(matrix-1827, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2405), _u2406), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2405, tc_HOL_Obool)), _u2407), _u2408))) | hBOOL(hAPP(hAPP(c_member(_u2405), _u2406), _u2407)) )).
% 43.37/43.62 cnf(matrix-1828, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2405), _u2406), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2405, tc_HOL_Obool)), _u2407), _u2408))) | hBOOL(hAPP(hAPP(c_member(_u2405), _u2406), _u2408)) )).
% 43.37/43.62 cnf(matrix-1829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2409), _u2409)) )).
% 43.37/43.62 cnf(matrix-1830, plain, ( ( _u2412 = _u2414) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2412), _u2414)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2414), _u2412)) )).
% 43.37/43.62 cnf(matrix-1831, plain, ( ( _u2413 != _u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2413), _u2415)) )).
% 43.37/43.62 cnf(matrix-1832, plain, ( ( _u2413 != _u2415) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2415), _u2413)) )).
% 43.37/43.62 cnf(matrix-1833, plain, ( ( _u2416 = _u2417) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2416), _u2417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2417), _u2416)) )).
% 43.37/43.62 cnf(matrix-1834, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2418), _u2418)) )).
% 43.37/43.62 cnf(matrix-1835, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2419), _u2420)) | ( _u2420 != _u2419) )).
% 43.37/43.62 cnf(matrix-1836, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2421), _u2422)) | ( _u2421 != _u2422) )).
% 43.37/43.62 cnf(matrix-1837, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2423), _u2424)) | ( _u2423 = _u2424) | hBOOL(hAPP(hAPP(_u2425, _u2424), _u2423)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u2424), _u2423)) )).
% 43.37/43.62 cnf(matrix-1838, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2426, tc_HOL_Obool)), _u2427), _u2427) = _u2427) )).
% 43.37/43.62 cnf(matrix-1839, plain, ( ~class_Lattices_Osemilattice__inf(_u2428) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2428), _u2429), _u2429) = _u2429) )).
% 43.37/43.62 cnf(matrix-1840, plain, ( ~class_Lattices_Osemilattice__inf(_u2430) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2430), _u2431), _u2431) = _u2431) )).
% 43.37/43.62 cnf(matrix-1841, plain, ( ~class_Lattices_Olattice(_u2432) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2433, _u2432)), _u2434), _u2435), _u2436) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2432), hAPP(_u2434, _u2436)), hAPP(_u2435, _u2436))) )).
% 43.37/43.62 cnf(matrix-1842, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2437, tc_HOL_Obool)), _u2438), _u2439) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2437, tc_HOL_Obool)), _u2439), _u2438)) )).
% 43.37/43.62 cnf(matrix-1843, plain, ( ~class_Lattices_Osemilattice__inf(_u2440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2440), _u2441), _u2442) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2440), _u2442), _u2441)) )).
% 43.37/43.62 cnf(matrix-1844, plain, ( ~class_Lattices_Olattice(_u2443) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2443), _u2444), _u2445) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2443), _u2445), _u2444)) )).
% 43.37/43.62 cnf(matrix-1845, plain, ( ~class_Lattices_Osemilattice__inf(_u2446) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2446), _u2447), _u2448) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2446), _u2448), _u2447)) )).
% 43.37/43.62 cnf(matrix-1846, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2449, tc_HOL_Obool)), _u2450), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2449, tc_HOL_Obool)), _u2450), _u2451)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2449, tc_HOL_Obool)), _u2450), _u2451)) )).
% 43.37/43.62 cnf(matrix-1847, plain, ( ~class_Lattices_Osemilattice__inf(_u2452) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2452), _u2453), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2452), _u2453), _u2454)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2452), _u2453), _u2454)) )).
% 43.37/43.62 cnf(matrix-1848, plain, ( ~class_Lattices_Olattice(_u2455) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2455), _u2456), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2455), _u2456), _u2457)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2455), _u2456), _u2457)) )).
% 43.37/43.62 cnf(matrix-1849, plain, ( ~class_Lattices_Osemilattice__inf(_u2458) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2458), _u2459), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2458), _u2459), _u2460)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2458), _u2459), _u2460)) )).
% 43.37/43.62 cnf(matrix-1850, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool)), _u2462), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool)), _u2463), _u2464)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool)), _u2463), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2461, tc_HOL_Obool)), _u2462), _u2464))) )).
% 43.37/43.62 cnf(matrix-1851, plain, ( ~class_Lattices_Osemilattice__inf(_u2465) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2465), _u2466), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2465), _u2467), _u2468)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2465), _u2467), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2465), _u2466), _u2468))) )).
% 43.37/43.62 cnf(matrix-1852, plain, ( ~class_Lattices_Olattice(_u2469) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2469), _u2470), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2469), _u2471), _u2472)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2469), _u2471), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2469), _u2470), _u2472))) )).
% 43.37/43.62 cnf(matrix-1853, plain, ( ~class_Lattices_Osemilattice__inf(_u2473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2473), _u2474), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2473), _u2475), _u2476)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2473), _u2475), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2473), _u2474), _u2476))) )).
% 43.37/43.62 cnf(matrix-1854, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2477, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2477, tc_HOL_Obool)), _u2478), _u2479)), _u2480) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2477, tc_HOL_Obool)), _u2478), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2477, tc_HOL_Obool)), _u2479), _u2480))) )).
% 43.37/43.62 cnf(matrix-1855, plain, ( ~class_Lattices_Osemilattice__inf(_u2481) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2481), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2481), _u2482), _u2483)), _u2484) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2481), _u2482), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2481), _u2483), _u2484))) )).
% 43.37/43.62 cnf(matrix-1856, plain, ( ~class_Lattices_Olattice(_u2485) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2485), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2485), _u2486), _u2487)), _u2488) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2485), _u2486), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2485), _u2487), _u2488))) )).
% 43.37/43.62 cnf(matrix-1857, plain, ( ~class_Lattices_Osemilattice__inf(_u2489) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2489), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2489), _u2490), _u2491)), _u2492) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2489), _u2490), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2489), _u2491), _u2492))) )).
% 43.37/43.62 cnf(matrix-1858, plain, ( ~class_Lattices_Olattice(_u2493) | ( hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2494, _u2493)), _u2495), _u2496), _u2497) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2493), hAPP(_u2495, _u2497)), hAPP(_u2496, _u2497))) )).
% 43.37/43.62 cnf(matrix-1859, plain, ( hBOOL(hAPP(_u2499, _u2501)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2498, tc_HOL_Obool)), _u2499), _u2500), _u2501)) )).
% 43.37/43.62 cnf(matrix-1860, plain, ( hBOOL(hAPP(_u2504, _u2505)) | ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2502, tc_HOL_Obool)), _u2503), _u2504), _u2505)) )).
% 43.37/43.62 cnf(matrix-1861, plain, ( ~class_Lattices_Olattice(_u2506) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2506), _u2507), _u2507) = _u2507) )).
% 43.37/43.62 cnf(matrix-1862, plain, ( ( hAPP(c_Set_OPow(_u2508), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2508, tc_HOL_Obool)), _u2509), _u2510)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u2508, tc_HOL_Obool), tc_HOL_Obool)), hAPP(c_Set_OPow(_u2508), _u2509)), hAPP(c_Set_OPow(_u2508), _u2510))) )).
% 43.37/43.62 cnf(matrix-1863, plain, ( ~class_Lattices_Olattice(_u2511) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2511), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2511), _u2512), _u2513)), _u2512)) )).
% 43.37/43.62 cnf(matrix-1864, plain, ( ~class_Lattices_Osemilattice__inf(_u2514) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2514), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2514), _u2515), _u2516)), _u2515)) )).
% 43.37/43.62 cnf(matrix-1865, plain, ( ~class_Lattices_Olattice(_u2517) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2517), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2517), _u2518), _u2519)), _u2519)) )).
% 43.37/43.62 cnf(matrix-1866, plain, ( ~class_Lattices_Osemilattice__inf(_u2520) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2520), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2520), _u2521), _u2522)), _u2522)) )).
% 43.37/43.62 cnf(matrix-1867, plain, ( ~class_Lattices_Osemilattice__inf(_u2523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2523), _u2524), _u2525)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2523), _u2524), _u2525) = _u2524) )).
% 43.37/43.62 cnf(matrix-1868, plain, ( ~class_Lattices_Osemilattice__inf(_u2523) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2523), _u2524), _u2525) != _u2524) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2523), _u2524), _u2525)) )).
% 43.37/43.62 cnf(matrix-1869, plain, ( ~class_Lattices_Osemilattice__inf(_u2526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2526), _u2528), _u2529))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), _u2528)) )).
% 43.37/43.62 cnf(matrix-1870, plain, ( ~class_Lattices_Osemilattice__inf(_u2526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2526), _u2528), _u2529))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), _u2529)) )).
% 43.37/43.62 cnf(matrix-1871, plain, ( ~class_Lattices_Osemilattice__inf(_u2526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), _u2528)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), _u2529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2526), _u2527), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2526), _u2528), _u2529))) )).
% 43.37/43.62 cnf(matrix-1872, plain, ( ~class_Lattices_Osemilattice__inf(_u2530) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2530), _u2531), _u2532)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2530), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2530), _u2531), _u2533)), _u2532)) )).
% 43.37/43.62 cnf(matrix-1873, plain, ( ~class_Lattices_Osemilattice__inf(_u2534) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2534), _u2535), _u2536)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2534), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2534), _u2537), _u2535)), _u2536)) )).
% 43.37/43.62 cnf(matrix-1874, plain, ( ~class_Lattices_Osemilattice__inf(_u2538) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2538), _u2539), _u2540)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2538), _u2539), _u2540) = _u2539) )).
% 43.37/43.62 cnf(matrix-1875, plain, ( ~class_Lattices_Osemilattice__inf(_u2541) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2541), _u2542), _u2543)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2541), _u2543), _u2542) = _u2542) )).
% 43.37/43.62 cnf(matrix-1876, plain, ( ~class_Lattices_Osemilattice__inf(_u2544) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2544), _u2545), _u2546)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2544), _u2545), _u2547)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2544), _u2545), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2544), _u2546), _u2547))) )).
% 43.37/43.62 cnf(matrix-1877, plain, ( ~class_Lattices_Osemilattice__inf(_u2548) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2548), _u2549), _u2550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2548), _u2549), _u2551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2548), _u2549), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2548), _u2550), _u2551))) )).
% 43.37/43.62 cnf(matrix-1878, plain, ( ~class_Lattices_Osemilattice__inf(_u2552) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2552), _u2553), _u2554)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2552), _u2555), _u2556)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2552), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2552), _u2553), _u2555)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2552), _u2554), _u2556))) )).
% 43.37/43.62 cnf(matrix-1879, plain, ( ~class_Lattices_Osemilattice__inf(_u2557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2557), _u2558), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2557), _u2559), _u2560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2557), _u2558), _u2559)) )).
% 43.37/43.62 cnf(matrix-1880, plain, ( ~class_Lattices_Osemilattice__inf(_u2557) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2557), _u2558), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2557), _u2559), _u2560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2557), _u2558), _u2560)) )).
% 43.37/43.62 cnf(matrix-1881, plain, ( ~class_Lattices_Osemilattice__inf(_u2561) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2561), _u2562), _u2563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2561), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2561), _u2562), _u2564)), _u2563)) )).
% 43.37/43.62 cnf(matrix-1882, plain, ( ~class_Lattices_Osemilattice__inf(_u2565) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2565), _u2566), _u2567)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u2565), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2565), _u2568), _u2566)), _u2567)) )).
% 43.37/43.62 cnf(matrix-1883, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2569) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2569), c_Orderings_Obot__class_Obot(_u2569)), _u2570) = c_Orderings_Obot__class_Obot(_u2569)) )).
% 43.37/43.62 cnf(matrix-1884, plain, ( ~class_Lattices_Obounded__lattice__bot(_u2571) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2571), _u2572), c_Orderings_Obot__class_Obot(_u2571)) = c_Orderings_Obot__class_Obot(_u2571)) )).
% 43.37/43.62 cnf(matrix-1885, plain, ( ~class_Lattices_Olattice(_u2573) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2573), _u2574), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2573), _u2574), _u2575)) = _u2574) )).
% 43.37/43.62 cnf(matrix-1886, plain, ( ~class_Lattices_Olattice(_u2576) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2576), _u2577), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2576), _u2577), _u2578)) = _u2577) )).
% 43.37/43.62 cnf(matrix-1887, plain, ( ~class_Lattices_Odistrib__lattice(_u2579) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2579), _u2580), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2579), _u2581), _u2582)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2579), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2579), _u2580), _u2581)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2579), _u2580), _u2582))) )).
% 43.37/43.62 cnf(matrix-1888, plain, ( ~class_Lattices_Odistrib__lattice(_u2583) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2583), _u2584), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2583), _u2585), _u2586)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2583), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2583), _u2584), _u2585)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2583), _u2584), _u2586))) )).
% 43.37/43.62 cnf(matrix-1889, plain, ( ~class_Lattices_Odistrib__lattice(_u2587) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2587), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2587), _u2588), _u2589)), _u2590) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2587), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2587), _u2588), _u2590)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2587), _u2589), _u2590))) )).
% 43.37/43.62 cnf(matrix-1890, plain, ( ~class_Lattices_Odistrib__lattice(_u2591) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2591), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2591), _u2592), _u2593)), _u2594) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2591), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2591), _u2592), _u2594)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2591), _u2593), _u2594))) )).
% 43.37/43.62 cnf(matrix-1891, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2599), _u2601), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2599, tc_HOL_Obool)), _u2603), _u2605))) | hBOOL(hAPP(hAPP(c_member(_u2599), _u2601), _u2603)) )).
% 43.37/43.62 cnf(matrix-1892, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2599), _u2601), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2599, tc_HOL_Obool)), _u2603), _u2605))) | hBOOL(hAPP(hAPP(c_member(_u2599), _u2601), _u2605)) )).
% 43.37/43.62 cnf(matrix-1893, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2600), _u2602), _u2604)) | ~hBOOL(hAPP(hAPP(c_member(_u2600), _u2602), _u2606)) | hBOOL(hAPP(hAPP(c_member(_u2600), _u2602), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2600, tc_HOL_Obool)), _u2604), _u2606))) )).
% 43.37/43.62 cnf(matrix-1894, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2607), _u2608), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2607, tc_HOL_Obool)), _u2609), _u2610))) | hBOOL(hAPP(hAPP(c_member(_u2607), _u2608), _u2609)) )).
% 43.37/43.62 cnf(matrix-1895, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2611), _u2612), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2611, tc_HOL_Obool)), _u2613), _u2614))) | hBOOL(hAPP(hAPP(c_member(_u2611), _u2612), _u2614)) )).
% 43.37/43.62 cnf(matrix-1896, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2615, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u2615, tc_HOL_Obool))), _u2616) = c_Orderings_Obot__class_Obot(tc_fun(_u2615, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1897, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2617, tc_HOL_Obool)), _u2618), c_Orderings_Obot__class_Obot(tc_fun(_u2617, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u2617, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1898, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2626, tc_HOL_Obool)), _u2628), _u2630) != c_Orderings_Obot__class_Obot(tc_fun(_u2626, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u2626), _u2620), _u2628)) | ~hBOOL(hAPP(hAPP(c_member(_u2626), _u2619), _u2630)) | ( _u2620 != _u2619) )).
% 43.37/43.62 cnf(matrix-1899, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2627, tc_HOL_Obool)), _u2629), _u2631) = c_Orderings_Obot__class_Obot(tc_fun(_u2627, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2627), skolem50(_u2631, _u2629, _u2627)), _u2629)) )).
% 43.37/43.62 cnf(matrix-1900, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2627, tc_HOL_Obool)), _u2629), _u2631) = c_Orderings_Obot__class_Obot(tc_fun(_u2627, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u2627), skolem51(_u2631, _u2629, _u2627)), _u2631)) )).
% 43.37/43.62 cnf(matrix-1901, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2627, tc_HOL_Obool)), _u2629), _u2631) = c_Orderings_Obot__class_Obot(tc_fun(_u2627, tc_HOL_Obool))) | ( skolem50(_u2631, _u2629, _u2627) = skolem51(_u2631, _u2629, _u2627)) )).
% 43.37/43.62 cnf(matrix-1902, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2632, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2633), _u2634)), hAPP(hAPP(c_Set_Oinsert(_u2632), _u2633), _u2635)) = hAPP(hAPP(c_Set_Oinsert(_u2632), _u2633), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2632, tc_HOL_Obool)), _u2634), _u2635))) )).
% 43.37/43.62 cnf(matrix-1903, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2636, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2636, tc_HOL_Obool)), _u2637), _u2638)), _u2637)) )).
% 43.37/43.62 cnf(matrix-1904, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2639, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2639, tc_HOL_Obool)), _u2640), _u2641)), _u2641)) )).
% 43.37/43.62 cnf(matrix-1905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2642, tc_HOL_Obool)), _u2643), _u2644)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2642, tc_HOL_Obool)), _u2643), _u2644) = _u2643) )).
% 43.37/43.62 cnf(matrix-1906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2645, tc_HOL_Obool)), _u2646), _u2647)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2645, tc_HOL_Obool)), _u2647), _u2646) = _u2646) )).
% 43.37/43.62 cnf(matrix-1907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2648, tc_HOL_Obool)), _u2649), _u2650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2648, tc_HOL_Obool)), _u2649), _u2651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2648, tc_HOL_Obool)), _u2649), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2648, tc_HOL_Obool)), _u2650), _u2651))) )).
% 43.37/43.62 cnf(matrix-1908, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2652, tc_HOL_Obool)), _u2653), _u2654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2652, tc_HOL_Obool)), _u2655), _u2656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2652, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2652, tc_HOL_Obool)), _u2653), _u2655)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2652, tc_HOL_Obool)), _u2654), _u2656))) )).
% 43.37/43.62 cnf(matrix-1909, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2657, tc_HOL_Obool)), _u2658), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2657, tc_HOL_Obool)), _u2659), _u2660)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2657, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2657, tc_HOL_Obool)), _u2658), _u2659)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2657, tc_HOL_Obool)), _u2658), _u2660))) )).
% 43.37/43.62 cnf(matrix-1910, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2661, tc_HOL_Obool)), _u2662), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2661, tc_HOL_Obool)), _u2663), _u2664)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2661, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2661, tc_HOL_Obool)), _u2662), _u2663)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2661, tc_HOL_Obool)), _u2662), _u2664))) )).
% 43.37/43.62 cnf(matrix-1911, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2665, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2665, tc_HOL_Obool)), _u2666), _u2667)), _u2668) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2665, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2665, tc_HOL_Obool)), _u2666), _u2668)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2665, tc_HOL_Obool)), _u2667), _u2668))) )).
% 43.37/43.62 cnf(matrix-1912, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2669, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2669, tc_HOL_Obool)), _u2670), _u2671)), _u2672) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2669, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2669, tc_HOL_Obool)), _u2670), _u2672)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2669, tc_HOL_Obool)), _u2671), _u2672))) )).
% 43.37/43.62 cnf(matrix-1913, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), _u2674), _u2675)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), _u2675), _u2676))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), _u2676), _u2674)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2673, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), _u2674), _u2675)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), _u2675), _u2676))), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2673, tc_HOL_Obool)), _u2676), _u2674))) )).
% 43.37/43.62 cnf(matrix-1914, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2677, tc_HOL_Obool)), _u2678), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), _u2679), _u2680)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2677, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2677, tc_HOL_Obool)), _u2678), _u2679)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2677, tc_HOL_Obool)), _u2678), _u2680))) )).
% 43.37/43.62 cnf(matrix-1915, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2681, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2681, tc_HOL_Obool)), _u2682), _u2683)), _u2684) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2681, tc_HOL_Obool)), _u2682), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2681, tc_HOL_Obool)), _u2683), _u2684))) )).
% 43.37/43.62 cnf(matrix-1916, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2685, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2685, tc_HOL_Obool)), _u2686), _u2687)), _u2688) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2685, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2685, tc_HOL_Obool)), _u2686), _u2688)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2685, tc_HOL_Obool)), _u2687), _u2688))) )).
% 43.37/43.62 cnf(matrix-1917, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2689, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2689, tc_HOL_Obool)), _u2690), _u2691)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2689, tc_HOL_Obool)), _u2692), _u2691)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2689, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2689, tc_HOL_Obool)), _u2690), _u2691)), _u2692)) )).
% 43.37/43.62 cnf(matrix-1918, plain, ( ~c_Fun_Oinj__on(_u2693, _u2694, _u2695, _u2696) | ~c_Fun_Oinj__on(_u2693, _u2694, _u2695, _u2697) | c_Fun_Oinj__on(_u2693, _u2694, _u2695, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2693, tc_HOL_Obool)), _u2696), _u2697)) )).
% 43.37/43.62 cnf(matrix-1919, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2702, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2702, tc_fun(_u2702, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2702)), _u2704)), hAPP(hAPP(c_COMBC(_u2702, tc_fun(_u2702, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2702)), _u2706)), _u2708)) | hBOOL(hAPP(hAPP(c_member(_u2702), _u2708), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2702, tc_HOL_Obool)), _u2704), _u2706))) )).
% 43.37/43.62 cnf(matrix-1920, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2703), _u2709), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2703, tc_HOL_Obool)), _u2705), _u2707))) | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2703, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u2703, tc_fun(_u2703, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2703)), _u2705)), hAPP(hAPP(c_COMBC(_u2703, tc_fun(_u2703, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2703)), _u2707)), _u2709)) )).
% 43.37/43.62 cnf(matrix-1921, plain, ( ~class_Groups_Ocomm__monoid__add(_u2710) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2711), _u2712)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2711, _u2710), _u2713), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2711, tc_HOL_Obool)), _u2712), _u2714)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2711, _u2710), hAPP(hAPP(c_COMBC(_u2711, _u2710, _u2710), hAPP(hAPP(c_COMBS(_u2711, _u2710, tc_fun(_u2710, _u2710)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2710, tc_fun(_u2710, _u2710)), _u2711), c_If(_u2710)), hAPP(hAPP(c_COMBC(_u2711, tc_fun(_u2711, tc_HOL_Obool), tc_HOL_Obool), c_member(_u2711)), _u2714))), _u2713)), c_Groups_Ozero__class_Ozero(_u2710))), _u2712)) )).
% 43.37/43.62 cnf(matrix-1922, plain, ( ~class_Lattices_Olattice(_u2715) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2715), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2715), _u2716), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2715), _u2717), _u2718))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2715), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2715), _u2716), _u2717)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2715), _u2716), _u2718)))) )).
% 43.37/43.62 cnf(matrix-1923, plain, ( ~class_Lattices_Olattice(_u2719) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2719), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2719), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2719), _u2720), _u2721)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2719), _u2720), _u2722))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2719), _u2720), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u2719), _u2721), _u2722)))) )).
% 43.37/43.62 cnf(matrix-1924, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2727), _u2729), _u2731)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2727, tc_HOL_Obool)), _u2731), hAPP(hAPP(c_Set_Oinsert(_u2727), _u2729), _u2733)) = hAPP(hAPP(c_Set_Oinsert(_u2727), _u2729), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2727, tc_HOL_Obool)), _u2731), _u2733))) )).
% 43.37/43.62 cnf(matrix-1925, plain, ( hBOOL(hAPP(hAPP(c_member(_u2728), _u2730), _u2732)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2728, tc_HOL_Obool)), _u2732), hAPP(hAPP(c_Set_Oinsert(_u2728), _u2730), _u2734)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2728, tc_HOL_Obool)), _u2732), _u2734)) )).
% 43.37/43.62 cnf(matrix-1926, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2739), _u2741), _u2743)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2739, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2739), _u2741), _u2745)), _u2743) = hAPP(hAPP(c_Set_Oinsert(_u2739), _u2741), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2739, tc_HOL_Obool)), _u2745), _u2743))) )).
% 43.37/43.62 cnf(matrix-1927, plain, ( hBOOL(hAPP(hAPP(c_member(_u2740), _u2742), _u2744)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2740, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2740), _u2742), _u2746)), _u2744) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2740, tc_HOL_Obool)), _u2746), _u2744)) )).
% 43.37/43.62 cnf(matrix-1928, plain, ( hBOOL(hAPP(hAPP(c_member(_u2747), _u2748), _u2749)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2747, tc_HOL_Obool)), _u2749), hAPP(hAPP(c_Set_Oinsert(_u2747), _u2748), _u2750)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2747, tc_HOL_Obool)), _u2749), _u2750)) )).
% 43.37/43.62 cnf(matrix-1929, plain, ( hBOOL(hAPP(hAPP(c_member(_u2751), _u2752), _u2753)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2751, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2751), _u2752), _u2754)), _u2753) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2751, tc_HOL_Obool)), _u2754), _u2753)) )).
% 43.37/43.62 cnf(matrix-1930, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2755), _u2756), _u2757)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2755, tc_HOL_Obool)), _u2757), hAPP(hAPP(c_Set_Oinsert(_u2755), _u2756), _u2758)) = hAPP(hAPP(c_Set_Oinsert(_u2755), _u2756), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2755, tc_HOL_Obool)), _u2757), _u2758))) )).
% 43.37/43.62 cnf(matrix-1931, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u2759), _u2760), _u2761)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2759, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u2759), _u2760), _u2762)), _u2761) = hAPP(hAPP(c_Set_Oinsert(_u2759), _u2760), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2759, tc_HOL_Obool)), _u2762), _u2761))) )).
% 43.37/43.62 cnf(matrix-1932, plain, ( ~class_Lattices_Osemilattice__inf(_u2763) | ~class_Lattices_Osemilattice__inf(_u2764) | ~c_Orderings_Oorder__class_Omono(_u2764, _u2763, _u2765) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2763), hAPP(_u2765, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2764), _u2766), _u2767))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2763), hAPP(_u2765, _u2766)), hAPP(_u2765, _u2767)))) )).
% 43.37/43.62 cnf(matrix-1933, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2768, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2769, _u2768, _u2770), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2769, tc_HOL_Obool)), _u2771), _u2772))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2768, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2769, _u2768, _u2770), _u2771)), hAPP(c_Set_Oimage(_u2769, _u2768, _u2770), _u2772)))) )).
% 43.37/43.62 cnf(matrix-1934, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2773, tc_HOL_Obool)), _u2774), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2773, tc_HOL_Obool)), _u2775), _u2774)) = c_Orderings_Obot__class_Obot(tc_fun(_u2773, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-1935, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2776, tc_HOL_Obool)), _u2777), _u2778) != c_Orderings_Obot__class_Obot(tc_fun(_u2776, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2776, tc_HOL_Obool)), _u2777), _u2778) = _u2777) )).
% 43.37/43.62 cnf(matrix-1936, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2783, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2783, tc_HOL_Obool)), _u2785), _u2787)), _u2789) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2783, tc_HOL_Obool)), _u2785), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2783, tc_HOL_Obool)), _u2787), _u2789))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2783, tc_HOL_Obool)), _u2789), _u2785)) )).
% 43.37/43.62 cnf(matrix-1937, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2784, tc_HOL_Obool)), _u2790), _u2786)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2784, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2784, tc_HOL_Obool)), _u2786), _u2788)), _u2790) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2784, tc_HOL_Obool)), _u2786), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2784, tc_HOL_Obool)), _u2788), _u2790))) )).
% 43.37/43.62 cnf(matrix-1938, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2791, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2791, tc_HOL_Obool)), _u2792), _u2793)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2791, tc_HOL_Obool)), _u2792), _u2793)) = _u2792) )).
% 43.37/43.62 cnf(matrix-1939, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2794, tc_HOL_Obool)), _u2795), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2794, tc_HOL_Obool)), _u2796), _u2797)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2794, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2794, tc_HOL_Obool)), _u2795), _u2796)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2794, tc_HOL_Obool)), _u2795), _u2797))) )).
% 43.37/43.62 cnf(matrix-1940, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2798, tc_HOL_Obool)), _u2799), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2798, tc_HOL_Obool)), _u2800), _u2801)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2798, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2798, tc_HOL_Obool)), _u2799), _u2800)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2798, tc_HOL_Obool)), _u2799), _u2801))) )).
% 43.37/43.62 cnf(matrix-1941, plain, ( ~class_Groups_Ocomm__monoid__add(_u2802) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2803), _u2804)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2803, _u2802), _u2805), _u2804) = c_Groups_Ozero__class_Ozero(_u2802)) )).
% 43.37/43.62 cnf(matrix-1942, plain, ( ~class_Groups_Ocomm__monoid__add(_u2806) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2807), _u2808)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2807, _u2806), _u2809), _u2808) = c_Groups_Ozero__class_Ozero(_u2806)) )).
% 43.37/43.62 cnf(matrix-1943, plain, ( ~c_Orderings_Oorder__class_Omono(tc_fun(_u2810, tc_HOL_Obool), tc_fun(_u2811, tc_HOL_Obool), _u2812) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2811, tc_HOL_Obool)), hAPP(_u2812, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2810, tc_HOL_Obool)), _u2813), _u2814))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2811, tc_HOL_Obool)), hAPP(_u2812, _u2813)), hAPP(_u2812, _u2814)))) )).
% 43.37/43.62 cnf(matrix-1944, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2817), _u2818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2817, tc_Nat_Onat), _u2819), _u2818) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u2817), _u2815), _u2818)) | ( hAPP(_u2819, _u2815) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1945, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2817), _u2818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2817, tc_Nat_Onat), _u2819), _u2818) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u2817), skolem52(_u2819, _u2818, _u2817)), _u2818)) )).
% 43.37/43.62 cnf(matrix-1946, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2817), _u2818)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2817, tc_Nat_Onat), _u2819), _u2818) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(_u2819, skolem52(_u2819, _u2818, _u2817)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1947, plain, ( ~c_Fun_Oinj__on(_u2820, _u2821, _u2822, _u2823) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2820, tc_HOL_Obool)), _u2824), _u2823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2820, tc_HOL_Obool)), _u2825), _u2823)) | ( hAPP(c_Set_Oimage(_u2820, _u2821, _u2822), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2820, tc_HOL_Obool)), _u2824), _u2825)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2821, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2820, _u2821, _u2822), _u2824)), hAPP(c_Set_Oimage(_u2820, _u2821, _u2822), _u2825))) )).
% 43.37/43.62 cnf(matrix-1948, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2826) | ~c_Orderings_Oorder__class_Omono(_u2826, _u2826, _u2827) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2826), hAPP(_u2827, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2826), c_Inductive_Ocomplete__lattice__class_Olfp(_u2826, _u2827)), _u2828))), _u2828)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2826), c_Inductive_Ocomplete__lattice__class_Olfp(_u2826, _u2827)), _u2828)) )).
% 43.37/43.62 cnf(matrix-1949, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u2829) | ( _u2830 != c_Inductive_Ocomplete__lattice__class_Olfp(_u2829, _u2831)) | ~c_Orderings_Oorder__class_Omono(_u2829, _u2829, _u2831) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2829), hAPP(_u2831, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u2829), _u2830), _u2832))), _u2832)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2829), _u2830), _u2832)) )).
% 43.37/43.62 cnf(matrix-1950, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u2837), skolem53(_u2839, _u2838, _u2837)), _u2838)) )).
% 43.37/43.62 cnf(matrix-1951, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u2839, skolem53(_u2839, _u2838, _u2837)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-1952, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u2837), _u2833), _u2838)) | ( skolem53(_u2839, _u2838, _u2837) = _u2833) | ( hAPP(_u2839, _u2833) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1953, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u2837), _u2836), _u2838)) | ( hAPP(_u2839, _u2836) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_member(_u2837), skolem54(_u2839, _u2838, _u2837, _u2836)), _u2838)) )).
% 43.37/43.62 cnf(matrix-1954, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u2837), _u2836), _u2838)) | ( hAPP(_u2839, _u2836) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u2836 != skolem54(_u2839, _u2838, _u2837, _u2836)) )).
% 43.37/43.62 cnf(matrix-1955, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2837), _u2838)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2837, tc_Nat_Onat), _u2839), _u2838) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(hAPP(c_member(_u2837), _u2836), _u2838)) | ( hAPP(_u2839, _u2836) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(_u2839, skolem54(_u2839, _u2838, _u2837, _u2836)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-1956, plain, ( ~class_Groups_Ocomm__monoid__add(_u2840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2841), _u2842)) | ~hBOOL(hAPP(hAPP(c_member(_u2841), _u2843), _u2842)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2841, _u2840), hAPP(hAPP(c_COMBC(_u2841, _u2840, _u2840), hAPP(hAPP(c_COMBS(_u2841, _u2840, tc_fun(_u2840, _u2840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2840, tc_fun(_u2840, _u2840)), _u2841), c_If(_u2840)), hAPP(hAPP(c_COMBC(_u2841, _u2841, tc_HOL_Obool), c_fequal), _u2843))), _u2844)), c_Groups_Ozero__class_Ozero(_u2840))), _u2842) = hAPP(_u2844, _u2843)) )).
% 43.37/43.62 cnf(matrix-1957, plain, ( ~class_Groups_Ocomm__monoid__add(_u2840) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2841), _u2842)) | hBOOL(hAPP(hAPP(c_member(_u2841), _u2843), _u2842)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2841, _u2840), hAPP(hAPP(c_COMBC(_u2841, _u2840, _u2840), hAPP(hAPP(c_COMBS(_u2841, _u2840, tc_fun(_u2840, _u2840)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2840, tc_fun(_u2840, _u2840)), _u2841), c_If(_u2840)), hAPP(hAPP(c_COMBC(_u2841, _u2841, tc_HOL_Obool), c_fequal), _u2843))), _u2844)), c_Groups_Ozero__class_Ozero(_u2840))), _u2842) = c_Groups_Ozero__class_Ozero(_u2840)) )).
% 43.37/43.62 cnf(matrix-1958, plain, ( ~class_Groups_Ocomm__monoid__add(_u2845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2846), _u2847)) | ~hBOOL(hAPP(hAPP(c_member(_u2846), _u2848), _u2847)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2846, _u2845), hAPP(hAPP(c_COMBC(_u2846, _u2845, _u2845), hAPP(hAPP(c_COMBS(_u2846, _u2845, tc_fun(_u2845, _u2845)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2845, tc_fun(_u2845, _u2845)), _u2846), c_If(_u2845)), hAPP(c_fequal, _u2848))), _u2849)), c_Groups_Ozero__class_Ozero(_u2845))), _u2847) = hAPP(_u2849, _u2848)) )).
% 43.37/43.62 cnf(matrix-1959, plain, ( ~class_Groups_Ocomm__monoid__add(_u2845) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2846), _u2847)) | hBOOL(hAPP(hAPP(c_member(_u2846), _u2848), _u2847)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2846, _u2845), hAPP(hAPP(c_COMBC(_u2846, _u2845, _u2845), hAPP(hAPP(c_COMBS(_u2846, _u2845, tc_fun(_u2845, _u2845)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u2845, tc_fun(_u2845, _u2845)), _u2846), c_If(_u2845)), hAPP(c_fequal, _u2848))), _u2849)), c_Groups_Ozero__class_Ozero(_u2845))), _u2847) = c_Groups_Ozero__class_Ozero(_u2845)) )).
% 43.37/43.62 cnf(matrix-1960, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), _u2851)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2850), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2850, tc_HOL_Obool)), _u2851), _u2852))) )).
% 43.37/43.62 cnf(matrix-1961, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2853, tc_HOL_Obool)), _u2854), _u2855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), _u2854)) )).
% 43.37/43.62 cnf(matrix-1962, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2853, tc_HOL_Obool)), _u2854), _u2855))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2853), _u2855)) )).
% 43.37/43.62 cnf(matrix-1963, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2856), _u2857)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2858), hAPP(c_Set_Oimage(_u2856, _u2858, _u2859), _u2857))) )).
% 43.37/43.62 cnf(matrix-1964, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), _u2861)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2860), hAPP(hAPP(c_Set_Oinsert(_u2860), _u2862), _u2861))) )).
% 43.37/43.62 cnf(matrix-1965, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2863), c_Orderings_Obot__class_Obot(tc_fun(_u2863, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1966, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2864), _u2865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2864, tc_HOL_Obool)), _u2865), hAPP(c_Set_Oimage(_u2864, _u2864, _u2866), _u2865))) | c_Fun_Oinj__on(_u2864, _u2864, _u2866, _u2865) )).
% 43.37/43.62 cnf(matrix-1967, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2867), _u2868)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2867, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u2867, _u2867, _u2869), _u2868)), _u2868)) | ~c_Fun_Oinj__on(_u2867, _u2867, _u2869, _u2868) | ( hAPP(c_Set_Oimage(_u2867, _u2867, _u2869), _u2868) = _u2868) )).
% 43.37/43.62 cnf(matrix-1968, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2870), hAPP(c_Set_Oimage(_u2871, _u2870, _u2872), _u2873))) | ~c_Fun_Oinj__on(_u2871, _u2870, _u2872, _u2873) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2871), _u2873)) )).
% 43.37/43.62 cnf(matrix-1969, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2878), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2878, tc_HOL_Obool)), _u2880), hAPP(hAPP(c_Set_Oinsert(_u2878), _u2882), _u2884)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2878), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2878, tc_HOL_Obool)), _u2880), _u2884))) )).
% 43.37/43.62 cnf(matrix-1970, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2879), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2879, tc_HOL_Obool)), _u2881), _u2885))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2879), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2879, tc_HOL_Obool)), _u2881), hAPP(hAPP(c_Set_Oinsert(_u2879), _u2883), _u2885)))) )).
% 43.37/43.62 cnf(matrix-1971, plain, ( ~class_Finite__Set_Ofinite(_u2886) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2886), _u2887)) )).
% 43.37/43.62 cnf(matrix-1972, plain, ( ~class_Finite__Set_Ofinite(_u2888) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2888), _u2889)) )).
% 43.37/43.62 cnf(matrix-1973, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u2890), c_Orderings_Obot__class_Obot(tc_fun(_u2890, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-1974, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2894), hAPP(hAPP(c_Set_Oinsert(_u2894), _u2896), _u2898))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2894), _u2898)) )).
% 43.37/43.62 cnf(matrix-1975, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), _u2899)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2895), hAPP(hAPP(c_Set_Oinsert(_u2895), _u2897), _u2899))) )).
% 43.37/43.62 cnf(matrix-1976, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2900, tc_HOL_Obool)), _u2901), _u2902)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2900), _u2902)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2900), _u2901)) )).
% 43.37/43.62 cnf(matrix-1977, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2903), _u2904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2903, tc_HOL_Obool)), _u2905), _u2904)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2903), _u2905)) )).
% 43.37/43.62 cnf(matrix-1978, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2906), _u2907)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2906), _u2908)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2906), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2906, tc_HOL_Obool)), _u2907), _u2908))) )).
% 43.37/43.62 cnf(matrix-1979, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2912), _u2914)) )).
% 43.37/43.62 cnf(matrix-1980, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2912), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2912, tc_HOL_Obool)), _u2914), _u2916))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2912), _u2916)) )).
% 43.37/43.62 cnf(matrix-1981, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2913), _u2915)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2913), _u2917)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2913), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2913, tc_HOL_Obool)), _u2915), _u2917))) )).
% 43.37/43.62 cnf(matrix-1982, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), _u2919)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2918, tc_HOL_Obool)), _u2920), _u2919))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), _u2920)) )).
% 43.37/43.62 cnf(matrix-1983, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), _u2919)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), _u2920)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2918), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2918, tc_HOL_Obool)), _u2920), _u2919))) )).
% 43.37/43.62 cnf(matrix-1984, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2923, tc_HOL_Obool)), hAPP(c_Set_OPow(_u2923), _u2925))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2923), _u2925)) )).
% 43.37/43.62 cnf(matrix-1985, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2924), _u2926)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u2924, tc_HOL_Obool)), hAPP(c_Set_OPow(_u2924), _u2926))) )).
% 43.37/43.62 cnf(matrix-1986, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2927), _u2928)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2929, tc_HOL_Obool)), _u2930), hAPP(c_Set_Oimage(_u2927, _u2929, _u2931), _u2928))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u2929), _u2930)) )).
% 43.37/43.62 cnf(matrix-1987, plain, ( ~c_Finite__Set_Ofolding__one(_u2932, _u2933, _u2934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2932), _u2935)) | ~hBOOL(hAPP(hAPP(c_member(_u2932), _u2936), _u2935)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2932, tc_HOL_Obool)), _u2935), hAPP(hAPP(c_Set_Oinsert(_u2932), _u2936), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))) | ( hAPP(_u2934, _u2935) = _u2936) )).
% 43.37/43.62 cnf(matrix-1988, plain, ( ~c_Finite__Set_Ofolding__one(_u2932, _u2933, _u2934) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2932), _u2935)) | ~hBOOL(hAPP(hAPP(c_member(_u2932), _u2936), _u2935)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2932, tc_HOL_Obool)), _u2935), hAPP(hAPP(c_Set_Oinsert(_u2932), _u2936), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))) | ( hAPP(_u2934, _u2935) = hAPP(hAPP(_u2933, _u2936), hAPP(_u2934, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2932, tc_HOL_Obool)), _u2935), hAPP(hAPP(c_Set_Oinsert(_u2932), _u2936), c_Orderings_Obot__class_Obot(tc_fun(_u2932, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-1989, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2938), _u2943)) | ~hBOOL(hAPP(hAPP(c_member(_u2938), _u2944), _u2943)) | ( hAPP(_u2942, _u2943) = hAPP(hAPP(_u2939, hAPP(_u2941, _u2944)), hAPP(_u2942, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2938, tc_HOL_Obool)), _u2943), hAPP(hAPP(c_Set_Oinsert(_u2938), _u2944), c_Orderings_Obot__class_Obot(tc_fun(_u2938, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u2937, _u2938, _u2939, _u2940, _u2941, _u2942) )).
% 43.37/43.62 cnf(matrix-1990, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2946) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2947), _u2948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2947, tc_HOL_Obool)), _u2949), _u2948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, _u2946), _u2950), _u2949)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, _u2946), _u2950), _u2948))) | hBOOL(hAPP(hAPP(c_member(_u2947), skolem55(_u2950, _u2949, _u2948, _u2947, _u2946)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2947, tc_HOL_Obool)), _u2948), _u2949))) )).
% 43.37/43.62 cnf(matrix-1991, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u2946) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2947), _u2948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2947, tc_HOL_Obool)), _u2949), _u2948)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, _u2946), _u2950), _u2949)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2947, _u2946), _u2950), _u2948))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2946), c_Groups_Ozero__class_Ozero(_u2946)), hAPP(_u2950, skolem55(_u2950, _u2949, _u2948, _u2947, _u2946)))) )).
% 43.37/43.62 cnf(matrix-1992, plain, ( ~class_Groups_Ocomm__monoid__add(_u2952) | ~class_Groups_Oordered__ab__semigroup__add(_u2952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2953), _u2954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2953, tc_HOL_Obool)), _u2955), _u2954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2952), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2953, _u2952), _u2956), _u2955)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2953, _u2952), _u2956), _u2954))) | hBOOL(hAPP(hAPP(c_member(_u2953), skolem56(_u2956, _u2955, _u2954, _u2953, _u2952)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2953, tc_HOL_Obool)), _u2954), _u2955))) )).
% 43.37/43.62 cnf(matrix-1993, plain, ( ~class_Groups_Ocomm__monoid__add(_u2952) | ~class_Groups_Oordered__ab__semigroup__add(_u2952) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2953), _u2954)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u2953, tc_HOL_Obool)), _u2955), _u2954)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2952), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2953, _u2952), _u2956), _u2955)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u2953, _u2952), _u2956), _u2954))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u2952), c_Groups_Ozero__class_Ozero(_u2952)), hAPP(_u2956, skolem56(_u2956, _u2955, _u2954, _u2953, _u2952)))) )).
% 43.37/43.62 cnf(matrix-1994, plain, ( ~c_Finite__Set_Ofolding__one(_u2957, _u2958, _u2959) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2957), _u2960)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2957), _u2961)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2957, tc_HOL_Obool)), _u2960), _u2961) = c_Orderings_Obot__class_Obot(tc_fun(_u2957, tc_HOL_Obool))) | ( hAPP(hAPP(_u2958, hAPP(_u2959, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2957, tc_HOL_Obool)), _u2960), _u2961))), hAPP(_u2959, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2957, tc_HOL_Obool)), _u2960), _u2961))) = hAPP(hAPP(_u2958, hAPP(_u2959, _u2960)), hAPP(_u2959, _u2961))) )).
% 43.37/43.62 cnf(matrix-1995, plain, ( ~c_Finite__Set_Ofolding__one(_u2962, _u2963, _u2964) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2962), _u2965)) | ( _u2965 = c_Orderings_Obot__class_Obot(tc_fun(_u2962, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2962), _u2966)) | ( _u2966 = c_Orderings_Obot__class_Obot(tc_fun(_u2962, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2962, tc_HOL_Obool)), _u2965), _u2966) != c_Orderings_Obot__class_Obot(tc_fun(_u2962, tc_HOL_Obool))) | ( hAPP(_u2964, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2962, tc_HOL_Obool)), _u2965), _u2966)) = hAPP(hAPP(_u2963, hAPP(_u2964, _u2965)), hAPP(_u2964, _u2966))) )).
% 43.37/43.62 cnf(matrix-1996, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2968), _u2973)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2968), _u2974)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u2968, tc_HOL_Obool)), _u2973), _u2974) != c_Orderings_Obot__class_Obot(tc_fun(_u2968, tc_HOL_Obool))) | ( hAPP(_u2972, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u2968, tc_HOL_Obool)), _u2973), _u2974)) = hAPP(hAPP(_u2969, hAPP(_u2972, _u2973)), hAPP(_u2972, _u2974))) | ~c_Finite__Set_Ofolding__image__simple(_u2967, _u2968, _u2969, _u2970, _u2971, _u2972) )).
% 43.37/43.62 cnf(matrix-1997, plain, ( ~c_Finite__Set_Ofolding__one(_u2975, _u2976, _u2977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2975), _u2978)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2975, tc_HOL_Obool)), _u2978), hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool))) | ( hAPP(_u2977, hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), _u2978)) = _u2979) )).
% 43.37/43.62 cnf(matrix-1998, plain, ( ~c_Finite__Set_Ofolding__one(_u2975, _u2976, _u2977) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2975), _u2978)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2975, tc_HOL_Obool)), _u2978), hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool))) | ( hAPP(_u2977, hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), _u2978)) = hAPP(hAPP(_u2976, _u2979), hAPP(_u2977, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2975, tc_HOL_Obool)), _u2978), hAPP(hAPP(c_Set_Oinsert(_u2975), _u2979), c_Orderings_Obot__class_Obot(tc_fun(_u2975, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-1999, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2981), _u2986)) | ( hAPP(_u2985, hAPP(hAPP(c_Set_Oinsert(_u2981), _u2987), _u2986)) = hAPP(hAPP(_u2982, hAPP(_u2984, _u2987)), hAPP(_u2985, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u2981, tc_HOL_Obool)), _u2986), hAPP(hAPP(c_Set_Oinsert(_u2981), _u2987), c_Orderings_Obot__class_Obot(tc_fun(_u2981, tc_HOL_Obool))))))) | ~c_Finite__Set_Ofolding__image__simple(_u2980, _u2981, _u2982, _u2983, _u2984, _u2985) )).
% 43.37/43.62 cnf(matrix-2000, plain, ( ( hAPP(_u2993, c_Orderings_Obot__class_Obot(tc_fun(_u2989, tc_HOL_Obool))) = _u2991) | ~c_Finite__Set_Ofolding__image__simple(_u2988, _u2989, _u2990, _u2991, _u2992, _u2993) )).
% 43.37/43.62 cnf(matrix-2001, plain, ( ~c_Finite__Set_Ofolding__one(_u2994, _u2995, _u2996) | ( hAPP(_u2996, hAPP(hAPP(c_Set_Oinsert(_u2994), _u2997), c_Orderings_Obot__class_Obot(tc_fun(_u2994, tc_HOL_Obool)))) = _u2997) )).
% 43.37/43.62 cnf(matrix-2002, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u2999), _u3004)) | hBOOL(hAPP(hAPP(c_member(_u2999), _u3005), _u3004)) | ( hAPP(_u3003, hAPP(hAPP(c_Set_Oinsert(_u2999), _u3005), _u3004)) = hAPP(hAPP(_u3000, hAPP(_u3002, _u3005)), hAPP(_u3003, _u3004))) | ~c_Finite__Set_Ofolding__image__simple(_u2998, _u2999, _u3000, _u3001, _u3002, _u3003) )).
% 43.37/43.62 cnf(matrix-2003, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3007), _u3012)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3007), _u3013)) | ( hAPP(hAPP(_u3008, hAPP(_u3011, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3007, tc_HOL_Obool)), _u3012), _u3013))), hAPP(_u3011, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3007, tc_HOL_Obool)), _u3012), _u3013))) = hAPP(hAPP(_u3008, hAPP(_u3011, _u3012)), hAPP(_u3011, _u3013))) | ~c_Finite__Set_Ofolding__image__simple(_u3006, _u3007, _u3008, _u3009, _u3010, _u3011) )).
% 43.37/43.62 cnf(matrix-2004, plain, ( ~c_Finite__Set_Ofolding__one(_u3014, _u3015, _u3016) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3014), _u3017)) | hBOOL(hAPP(hAPP(c_member(_u3014), _u3018), _u3017)) | ( _u3017 = c_Orderings_Obot__class_Obot(tc_fun(_u3014, tc_HOL_Obool))) | ( hAPP(_u3016, hAPP(hAPP(c_Set_Oinsert(_u3014), _u3018), _u3017)) = hAPP(hAPP(_u3015, _u3018), hAPP(_u3016, _u3017))) )).
% 43.37/43.62 cnf(matrix-2005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3019), _u3020)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3019), _u3020)) )).
% 43.37/43.62 cnf(matrix-2006, plain, ( ~class_Lattices_Olattice(_u3021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ~hBOOL(hAPP(hAPP(c_member(_u3021), _u3023), _u3022)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3021, tc_HOL_Obool)), _u3022), hAPP(hAPP(c_Set_Oinsert(_u3021), _u3023), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3021, _u3022) = _u3023) )).
% 43.37/43.62 cnf(matrix-2007, plain, ( ~class_Lattices_Olattice(_u3021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3021), _u3022)) | ~hBOOL(hAPP(hAPP(c_member(_u3021), _u3023), _u3022)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3021, tc_HOL_Obool)), _u3022), hAPP(hAPP(c_Set_Oinsert(_u3021), _u3023), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3021, _u3022) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3021), _u3023), c_Big__Operators_Olattice__class_OInf__fin(_u3021, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3021, tc_HOL_Obool)), _u3022), hAPP(hAPP(c_Set_Oinsert(_u3021), _u3023), c_Orderings_Obot__class_Obot(tc_fun(_u3021, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2008, plain, ( ~class_Lattices_Olattice(_u3024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3024), _u3025)) | ~hBOOL(hAPP(hAPP(c_member(_u3024), _u3026), _u3025)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3024, tc_HOL_Obool)), _u3025), hAPP(hAPP(c_Set_Oinsert(_u3024), _u3026), c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3024, _u3025) = _u3026) )).
% 43.37/43.62 cnf(matrix-2009, plain, ( ~class_Lattices_Olattice(_u3024) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3024), _u3025)) | ~hBOOL(hAPP(hAPP(c_member(_u3024), _u3026), _u3025)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3024, tc_HOL_Obool)), _u3025), hAPP(hAPP(c_Set_Oinsert(_u3024), _u3026), c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3024, _u3025) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3024), _u3026), c_Big__Operators_Olattice__class_OSup__fin(_u3024, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3024, tc_HOL_Obool)), _u3025), hAPP(hAPP(c_Set_Oinsert(_u3024), _u3026), c_Orderings_Obot__class_Obot(tc_fun(_u3024, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2010, plain, ( ~c_Finite__Set_Ofolding__one(_u3029, _u3030, _u3031) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3029), _u3032)) | ( _u3032 = c_Orderings_Obot__class_Obot(tc_fun(_u3029, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3029), hAPP(hAPP(_u3030, skolem57(_u3032, _u3031, _u3030, _u3029)), skolem58(_u3032, _u3031, _u3030, _u3029))), hAPP(hAPP(c_Set_Oinsert(_u3029), skolem57(_u3032, _u3031, _u3030, _u3029)), hAPP(hAPP(c_Set_Oinsert(_u3029), skolem58(_u3032, _u3031, _u3030, _u3029)), c_Orderings_Obot__class_Obot(tc_fun(_u3029, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3029), hAPP(_u3031, _u3032)), _u3032)) )).
% 43.37/43.62 cnf(matrix-2011, plain, ( ~class_Groups_Oordered__ab__group__add(_u3034) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3035), _u3036)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3035, _u3034), _u3037), _u3036) != c_Groups_Ozero__class_Ozero(_u3034)) | ~hBOOL(hAPP(hAPP(c_member(_u3035), _u3038), _u3036)) | ( hAPP(_u3037, _u3038) = c_Groups_Ozero__class_Ozero(_u3034)) | hBOOL(hAPP(hAPP(c_member(_u3035), skolem59(_u3038, _u3037, _u3036, _u3035, _u3034)), _u3036)) )).
% 43.37/43.62 cnf(matrix-2012, plain, ( ~class_Groups_Oordered__ab__group__add(_u3034) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3035), _u3036)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3035, _u3034), _u3037), _u3036) != c_Groups_Ozero__class_Ozero(_u3034)) | ~hBOOL(hAPP(hAPP(c_member(_u3035), _u3038), _u3036)) | ( hAPP(_u3037, _u3038) = c_Groups_Ozero__class_Ozero(_u3034)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3034), c_Groups_Ozero__class_Ozero(_u3034)), hAPP(_u3037, skolem59(_u3038, _u3037, _u3036, _u3035, _u3034)))) )).
% 43.37/43.62 cnf(matrix-2013, plain, ( ~class_Groups_Oordered__ab__group__add(_u3040) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3041), _u3042)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3041, _u3040), _u3043), _u3042) != _u3044) | ~hBOOL(hAPP(hAPP(c_member(_u3041), _u3045), _u3042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3040), hAPP(_u3043, _u3045)), _u3044)) | hBOOL(hAPP(hAPP(c_member(_u3041), skolem60(_u3045, _u3044, _u3043, _u3042, _u3041, _u3040)), _u3042)) )).
% 43.37/43.62 cnf(matrix-2014, plain, ( ~class_Groups_Oordered__ab__group__add(_u3040) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3041), _u3042)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3041, _u3040), _u3043), _u3042) != _u3044) | ~hBOOL(hAPP(hAPP(c_member(_u3041), _u3045), _u3042)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3040), hAPP(_u3043, _u3045)), _u3044)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3040), c_Groups_Ozero__class_Ozero(_u3040)), hAPP(_u3043, skolem60(_u3045, _u3044, _u3043, _u3042, _u3041, _u3040)))) )).
% 43.37/43.62 cnf(matrix-2015, plain, ( ~class_Groups_Ocomm__monoid__add(_u3047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3048), _u3049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3048, tc_HOL_Obool)), _u3050), _u3049)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3048, _u3047), _u3051), _u3049) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3048, _u3047), _u3051), _u3050)) | hBOOL(hAPP(hAPP(c_member(_u3048), skolem61(_u3051, _u3050, _u3049, _u3048, _u3047)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3048, tc_HOL_Obool)), _u3049), _u3050))) )).
% 43.37/43.62 cnf(matrix-2016, plain, ( ~class_Groups_Ocomm__monoid__add(_u3047) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3048), _u3049)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3048, tc_HOL_Obool)), _u3050), _u3049)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3048, _u3047), _u3051), _u3049) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3048, _u3047), _u3051), _u3050)) | ( hAPP(_u3051, skolem61(_u3051, _u3050, _u3049, _u3048, _u3047)) != c_Groups_Ozero__class_Ozero(_u3047)) )).
% 43.37/43.62 cnf(matrix-2017, plain, ( ~class_Groups_Ocomm__monoid__add(_u3053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3054), _u3055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3054, tc_HOL_Obool)), _u3056), _u3055)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3054, _u3053), _u3057), _u3056) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3054, _u3053), _u3057), _u3055)) | hBOOL(hAPP(hAPP(c_member(_u3054), skolem62(_u3057, _u3056, _u3055, _u3054, _u3053)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3054, tc_HOL_Obool)), _u3055), _u3056))) )).
% 43.37/43.62 cnf(matrix-2018, plain, ( ~class_Groups_Ocomm__monoid__add(_u3053) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3054), _u3055)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3054, tc_HOL_Obool)), _u3056), _u3055)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3054, _u3053), _u3057), _u3056) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3054, _u3053), _u3057), _u3055)) | ( hAPP(_u3057, skolem62(_u3057, _u3056, _u3055, _u3054, _u3053)) != c_Groups_Ozero__class_Ozero(_u3053)) )).
% 43.37/43.62 cnf(matrix-2019, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), _u3061)) | ~hBOOL(hAPP(_u3062, _u3061)) | hBOOL(hAPP(_u3062, c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), skolem64(_u3062, _u3061, _u3060))) )).
% 43.37/43.62 cnf(matrix-2020, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), _u3061)) | ~hBOOL(hAPP(_u3062, _u3061)) | hBOOL(hAPP(_u3062, c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_member(_u3060), skolem63(_u3062, _u3061, _u3060)), skolem64(_u3062, _u3061, _u3060))) )).
% 43.37/43.62 cnf(matrix-2021, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), _u3061)) | ~hBOOL(hAPP(_u3062, _u3061)) | hBOOL(hAPP(_u3062, c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))) | hBOOL(hAPP(_u3062, skolem64(_u3062, _u3061, _u3060))) )).
% 43.37/43.62 cnf(matrix-2022, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3060), _u3061)) | ~hBOOL(hAPP(_u3062, _u3061)) | hBOOL(hAPP(_u3062, c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u3062, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3060, tc_HOL_Obool)), skolem64(_u3062, _u3061, _u3060)), hAPP(hAPP(c_Set_Oinsert(_u3060), skolem63(_u3062, _u3061, _u3060)), c_Orderings_Obot__class_Obot(tc_fun(_u3060, tc_HOL_Obool)))))) )).
% 43.37/43.62 cnf(matrix-2023, plain, ( ~class_Lattices_Olattice(_u3063) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3063), _u3064)) | ( _u3064 = c_Orderings_Obot__class_Obot(tc_fun(_u3063, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3063), c_Big__Operators_Olattice__class_OInf__fin(_u3063, _u3064)), c_Big__Operators_Olattice__class_OSup__fin(_u3063, _u3064))) )).
% 43.37/43.62 cnf(matrix-2024, plain, ( ~class_Lattices_Olattice(_u3065) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3065, hAPP(hAPP(c_Set_Oinsert(_u3065), _u3066), c_Orderings_Obot__class_Obot(tc_fun(_u3065, tc_HOL_Obool)))) = _u3066) )).
% 43.37/43.62 cnf(matrix-2025, plain, ( ~class_Lattices_Olattice(_u3067) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3067, hAPP(hAPP(c_Set_Oinsert(_u3067), _u3068), c_Orderings_Obot__class_Obot(tc_fun(_u3067, tc_HOL_Obool)))) = _u3068) )).
% 43.37/43.62 cnf(matrix-2026, plain, ( ~class_Lattices_Olattice(_u3069) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3069), _u3070)) | ~hBOOL(hAPP(hAPP(c_member(_u3069), _u3071), _u3070)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3069), _u3071), c_Big__Operators_Olattice__class_OSup__fin(_u3069, _u3070)) = c_Big__Operators_Olattice__class_OSup__fin(_u3069, _u3070)) )).
% 43.37/43.62 cnf(matrix-2027, plain, ( ~class_Lattices_Olattice(_u3072) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3072), _u3073)) | ~hBOOL(hAPP(hAPP(c_member(_u3072), _u3074), _u3073)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3072), _u3074), c_Big__Operators_Olattice__class_OInf__fin(_u3072, _u3073)) = _u3074) )).
% 43.37/43.62 cnf(matrix-2028, plain, ( ~class_Lattices_Olattice(_u3075) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3075), _u3076)) | ~hBOOL(hAPP(hAPP(c_member(_u3075), _u3077), _u3076)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3075), _u3077), c_Big__Operators_Olattice__class_OInf__fin(_u3075, _u3076)) = c_Big__Operators_Olattice__class_OInf__fin(_u3075, _u3076)) )).
% 43.37/43.62 cnf(matrix-2029, plain, ( ~class_Lattices_Olattice(_u3078) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3078), _u3079)) | ~hBOOL(hAPP(hAPP(c_member(_u3078), _u3080), _u3079)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3078), _u3080), c_Big__Operators_Olattice__class_OSup__fin(_u3078, _u3079)) = _u3080) )).
% 43.37/43.62 cnf(matrix-2030, plain, ( ~class_Lattices_Olattice(_u3081) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3081), _u3082)) | ( _u3082 = c_Orderings_Obot__class_Obot(tc_fun(_u3081, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3081, hAPP(hAPP(c_Set_Oinsert(_u3081), _u3083), _u3082)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3081), _u3083), c_Big__Operators_Olattice__class_OSup__fin(_u3081, _u3082))) )).
% 43.37/43.62 cnf(matrix-2031, plain, ( ~class_Lattices_Olattice(_u3084) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3084), _u3085)) | ( _u3085 = c_Orderings_Obot__class_Obot(tc_fun(_u3084, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3084, hAPP(hAPP(c_Set_Oinsert(_u3084), _u3086), _u3085)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3084), _u3086), c_Big__Operators_Olattice__class_OInf__fin(_u3084, _u3085))) )).
% 43.37/43.62 cnf(matrix-2032, plain, ( ~class_Lattices_Olattice(_u3087) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3087), _u3088)) | ( _u3089 = c_Orderings_Obot__class_Obot(tc_fun(_u3087, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3087, tc_HOL_Obool)), _u3089), _u3088)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3087), c_Big__Operators_Olattice__class_OSup__fin(_u3087, _u3089)), c_Big__Operators_Olattice__class_OSup__fin(_u3087, _u3088)) = c_Big__Operators_Olattice__class_OSup__fin(_u3087, _u3088)) )).
% 43.37/43.62 cnf(matrix-2033, plain, ( ~class_Lattices_Olattice(_u3090) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3090), _u3091)) | ( _u3092 = c_Orderings_Obot__class_Obot(tc_fun(_u3090, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3090, tc_HOL_Obool)), _u3092), _u3091)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3090), c_Big__Operators_Olattice__class_OInf__fin(_u3090, _u3092)), c_Big__Operators_Olattice__class_OInf__fin(_u3090, _u3091)) = c_Big__Operators_Olattice__class_OInf__fin(_u3090, _u3091)) )).
% 43.37/43.62 cnf(matrix-2034, plain, ( ~class_Lattices_Olattice(_u3093) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3093), _u3094)) | ( _u3094 = c_Orderings_Obot__class_Obot(tc_fun(_u3093, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3093), _u3095)) | ( _u3095 = c_Orderings_Obot__class_Obot(tc_fun(_u3093, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3093, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3093, tc_HOL_Obool)), _u3094), _u3095)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3093), c_Big__Operators_Olattice__class_OSup__fin(_u3093, _u3094)), c_Big__Operators_Olattice__class_OSup__fin(_u3093, _u3095))) )).
% 43.37/43.62 cnf(matrix-2035, plain, ( ~class_Lattices_Olattice(_u3096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3096), _u3097)) | ( _u3097 = c_Orderings_Obot__class_Obot(tc_fun(_u3096, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3096), _u3098)) | ( _u3098 = c_Orderings_Obot__class_Obot(tc_fun(_u3096, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3096, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3096, tc_HOL_Obool)), _u3097), _u3098)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3096), c_Big__Operators_Olattice__class_OInf__fin(_u3096, _u3097)), c_Big__Operators_Olattice__class_OInf__fin(_u3096, _u3098))) )).
% 43.37/43.62 cnf(matrix-2036, plain, ( ~class_Lattices_Olattice(_u3099) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3099), _u3100)) | hBOOL(hAPP(hAPP(c_member(_u3099), _u3101), _u3100)) | ( _u3100 = c_Orderings_Obot__class_Obot(tc_fun(_u3099, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3099, hAPP(hAPP(c_Set_Oinsert(_u3099), _u3101), _u3100)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3099), _u3101), c_Big__Operators_Olattice__class_OSup__fin(_u3099, _u3100))) )).
% 43.37/43.62 cnf(matrix-2037, plain, ( ~class_Lattices_Olattice(_u3102) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3102), _u3103)) | hBOOL(hAPP(hAPP(c_member(_u3102), _u3104), _u3103)) | ( _u3103 = c_Orderings_Obot__class_Obot(tc_fun(_u3102, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3102, hAPP(hAPP(c_Set_Oinsert(_u3102), _u3104), _u3103)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3102), _u3104), c_Big__Operators_Olattice__class_OInf__fin(_u3102, _u3103))) )).
% 43.37/43.62 cnf(matrix-2038, plain, ( ~class_Lattices_Olattice(_u3105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3105), _u3106)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3105, tc_HOL_Obool)), _u3106), hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3105, hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), _u3106)) = _u3107) )).
% 43.37/43.62 cnf(matrix-2039, plain, ( ~class_Lattices_Olattice(_u3105) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3105), _u3106)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3105, tc_HOL_Obool)), _u3106), hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3105, hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), _u3106)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3105), _u3107), c_Big__Operators_Olattice__class_OSup__fin(_u3105, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3105, tc_HOL_Obool)), _u3106), hAPP(hAPP(c_Set_Oinsert(_u3105), _u3107), c_Orderings_Obot__class_Obot(tc_fun(_u3105, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2040, plain, ( ~class_Lattices_Olattice(_u3108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3108), _u3109)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3108, tc_HOL_Obool)), _u3109), hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3108, hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), _u3109)) = _u3110) )).
% 43.37/43.62 cnf(matrix-2041, plain, ( ~class_Lattices_Olattice(_u3108) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3108), _u3109)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3108, tc_HOL_Obool)), _u3109), hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3108, hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), _u3109)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3108), _u3110), c_Big__Operators_Olattice__class_OInf__fin(_u3108, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3108, tc_HOL_Obool)), _u3109), hAPP(hAPP(c_Set_Oinsert(_u3108), _u3110), c_Orderings_Obot__class_Obot(tc_fun(_u3108, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2042, plain, ( ~class_Lattices_Olattice(_u3111) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3111), _u3112)) | ( _u3112 = c_Orderings_Obot__class_Obot(tc_fun(_u3111, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3111), _u3113)) | ( _u3113 = c_Orderings_Obot__class_Obot(tc_fun(_u3111, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3111, tc_HOL_Obool)), _u3112), _u3113) != c_Orderings_Obot__class_Obot(tc_fun(_u3111, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u3111, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3111, tc_HOL_Obool)), _u3112), _u3113)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3111), c_Big__Operators_Olattice__class_OSup__fin(_u3111, _u3112)), c_Big__Operators_Olattice__class_OSup__fin(_u3111, _u3113))) )).
% 43.37/43.62 cnf(matrix-2043, plain, ( ~class_Lattices_Olattice(_u3114) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3114), _u3115)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3114), _u3116)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3114, tc_HOL_Obool)), _u3115), _u3116) = c_Orderings_Obot__class_Obot(tc_fun(_u3114, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3114), c_Big__Operators_Olattice__class_OSup__fin(_u3114, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3114, tc_HOL_Obool)), _u3115), _u3116))), c_Big__Operators_Olattice__class_OSup__fin(_u3114, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3114, tc_HOL_Obool)), _u3115), _u3116))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3114), c_Big__Operators_Olattice__class_OSup__fin(_u3114, _u3115)), c_Big__Operators_Olattice__class_OSup__fin(_u3114, _u3116))) )).
% 43.37/43.62 cnf(matrix-2044, plain, ( ~class_Lattices_Olattice(_u3117) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3117), _u3118)) | ( _u3118 = c_Orderings_Obot__class_Obot(tc_fun(_u3117, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3117), _u3119)) | ( _u3119 = c_Orderings_Obot__class_Obot(tc_fun(_u3117, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3117, tc_HOL_Obool)), _u3118), _u3119) != c_Orderings_Obot__class_Obot(tc_fun(_u3117, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u3117, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3117, tc_HOL_Obool)), _u3118), _u3119)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3117), c_Big__Operators_Olattice__class_OInf__fin(_u3117, _u3118)), c_Big__Operators_Olattice__class_OInf__fin(_u3117, _u3119))) )).
% 43.37/43.62 cnf(matrix-2045, plain, ( ~class_Lattices_Olattice(_u3120) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3121)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3120), _u3122)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122) = c_Orderings_Obot__class_Obot(tc_fun(_u3120, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3120), c_Big__Operators_Olattice__class_OInf__fin(_u3120, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122))), c_Big__Operators_Olattice__class_OInf__fin(_u3120, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3120, tc_HOL_Obool)), _u3121), _u3122))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3120), c_Big__Operators_Olattice__class_OInf__fin(_u3120, _u3121)), c_Big__Operators_Olattice__class_OInf__fin(_u3120, _u3122))) )).
% 43.37/43.62 cnf(matrix-2046, plain, ( ~class_Lattices_Olattice(_u3125) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3125), _u3126)) | ( _u3126 = c_Orderings_Obot__class_Obot(tc_fun(_u3125, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3125), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3125), skolem65(_u3126, _u3125)), skolem66(_u3126, _u3125))), hAPP(hAPP(c_Set_Oinsert(_u3125), skolem65(_u3126, _u3125)), hAPP(hAPP(c_Set_Oinsert(_u3125), skolem66(_u3126, _u3125)), c_Orderings_Obot__class_Obot(tc_fun(_u3125, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3125), c_Big__Operators_Olattice__class_OInf__fin(_u3125, _u3126)), _u3126)) )).
% 43.37/43.62 cnf(matrix-2047, plain, ( ~class_Lattices_Olattice(_u3129) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3129), _u3130)) | ( _u3130 = c_Orderings_Obot__class_Obot(tc_fun(_u3129, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u3129), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3129), skolem67(_u3130, _u3129)), skolem68(_u3130, _u3129))), hAPP(hAPP(c_Set_Oinsert(_u3129), skolem67(_u3130, _u3129)), hAPP(hAPP(c_Set_Oinsert(_u3129), skolem68(_u3130, _u3129)), c_Orderings_Obot__class_Obot(tc_fun(_u3129, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u3129), c_Big__Operators_Olattice__class_OSup__fin(_u3129, _u3130)), _u3130)) )).
% 43.37/43.62 cnf(matrix-2048, plain, ( ~class_Lattices_Olattice(_u3133) | ( hAPP(_u3134, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3133), skolem69(_u3135, _u3134, _u3133)), skolem70(_u3135, _u3134, _u3133))) != hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u3133), hAPP(_u3134, skolem69(_u3135, _u3134, _u3133))), hAPP(_u3134, skolem70(_u3135, _u3134, _u3133)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3133), _u3135)) | ( _u3135 = c_Orderings_Obot__class_Obot(tc_fun(_u3133, tc_HOL_Obool))) | ( hAPP(_u3134, c_Big__Operators_Olattice__class_OInf__fin(_u3133, _u3135)) = c_Big__Operators_Olattice__class_OInf__fin(_u3133, hAPP(c_Set_Oimage(_u3133, _u3133, _u3134), _u3135))) )).
% 43.37/43.62 cnf(matrix-2049, plain, ( ~class_Lattices_Olattice(_u3138) | ( hAPP(_u3139, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3138), skolem71(_u3140, _u3139, _u3138)), skolem72(_u3140, _u3139, _u3138))) != hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u3138), hAPP(_u3139, skolem71(_u3140, _u3139, _u3138))), hAPP(_u3139, skolem72(_u3140, _u3139, _u3138)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3138), _u3140)) | ( _u3140 = c_Orderings_Obot__class_Obot(tc_fun(_u3138, tc_HOL_Obool))) | ( hAPP(_u3139, c_Big__Operators_Olattice__class_OSup__fin(_u3138, _u3140)) = c_Big__Operators_Olattice__class_OSup__fin(_u3138, hAPP(c_Set_Oimage(_u3138, _u3138, _u3139), _u3140))) )).
% 43.37/43.62 cnf(matrix-2050, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u3141, _u3142, _u3143) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3141), _u3144)) | ( _u3144 = c_Orderings_Obot__class_Obot(tc_fun(_u3141, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3141), _u3145)) | ( _u3145 = c_Orderings_Obot__class_Obot(tc_fun(_u3141, tc_HOL_Obool))) | ( hAPP(_u3143, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3141, tc_HOL_Obool)), _u3144), _u3145)) = hAPP(hAPP(_u3142, hAPP(_u3143, _u3144)), hAPP(_u3143, _u3145))) )).
% 43.37/43.62 cnf(matrix-2051, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), skolem74(_u3151, _u3150, _u3149, _u3148))) )).
% 43.37/43.62 cnf(matrix-2052, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | hBOOL(hAPP(hAPP(c_member(_u3148), skolem73(_u3151, _u3150, _u3149, _u3148)), _u3150)) )).
% 43.37/43.62 cnf(matrix-2053, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | ~hBOOL(hAPP(hAPP(c_member(_u3148), skolem73(_u3151, _u3150, _u3149, _u3148)), skolem74(_u3151, _u3150, _u3149, _u3148))) )).
% 43.37/43.62 cnf(matrix-2054, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | hBOOL(hAPP(_u3151, skolem74(_u3151, _u3150, _u3149, _u3148))) )).
% 43.37/43.62 cnf(matrix-2055, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3148), _u3149)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3148, tc_HOL_Obool)), _u3149), _u3150)) | ~hBOOL(hAPP(_u3151, c_Orderings_Obot__class_Obot(tc_fun(_u3148, tc_HOL_Obool)))) | hBOOL(hAPP(_u3151, _u3149)) | ~hBOOL(hAPP(_u3151, hAPP(hAPP(c_Set_Oinsert(_u3148), skolem73(_u3151, _u3150, _u3149, _u3148)), skolem74(_u3151, _u3150, _u3149, _u3148)))) )).
% 43.37/43.62 cnf(matrix-2056, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u3152, _u3153, _u3154) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3152), _u3155)) | ( _u3156 = c_Orderings_Obot__class_Obot(tc_fun(_u3152, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3152, tc_HOL_Obool)), _u3156), _u3155)) | ( hAPP(hAPP(_u3153, hAPP(_u3154, _u3156)), hAPP(_u3154, _u3155)) = hAPP(_u3154, _u3155)) )).
% 43.37/43.62 cnf(matrix-2057, plain, ( ~class_Groups_Ocomm__monoid__add(_u3158) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3158) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3159), _u3160)) | ( _u3160 = c_Orderings_Obot__class_Obot(tc_fun(_u3159, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3158), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3159, _u3158), _u3161), _u3160)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3159, _u3158), _u3162), _u3160))) | hBOOL(hAPP(hAPP(c_member(_u3159), skolem75(_u3162, _u3161, _u3160, _u3159, _u3158)), _u3160)) )).
% 43.37/43.62 cnf(matrix-2058, plain, ( ~class_Groups_Ocomm__monoid__add(_u3158) | ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3158) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3159), _u3160)) | ( _u3160 = c_Orderings_Obot__class_Obot(tc_fun(_u3159, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3158), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3159, _u3158), _u3161), _u3160)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3159, _u3158), _u3162), _u3160))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3158), hAPP(_u3161, skolem75(_u3162, _u3161, _u3160, _u3159, _u3158))), hAPP(_u3162, skolem75(_u3162, _u3161, _u3160, _u3159, _u3158)))) )).
% 43.37/43.62 cnf(matrix-2059, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u3163, _u3164, _u3165) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3163), _u3166)) | ( _u3166 = c_Orderings_Obot__class_Obot(tc_fun(_u3163, tc_HOL_Obool))) | ( hAPP(_u3165, hAPP(hAPP(c_Set_Oinsert(_u3163), _u3167), _u3166)) = hAPP(hAPP(_u3164, _u3167), hAPP(_u3165, _u3166))) )).
% 43.37/43.62 cnf(matrix-2060, plain, ( ( hAPP(hAPP(_u3169, _u3171), _u3171) = _u3171) | ~c_Finite__Set_Ofolding__one__idem(_u3168, _u3169, _u3170) )).
% 43.37/43.62 cnf(matrix-2061, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u3172, _u3173, _u3174) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3172), _u3175)) | ~hBOOL(hAPP(hAPP(c_member(_u3172), _u3176), _u3175)) | ( hAPP(hAPP(_u3173, _u3176), hAPP(_u3174, _u3175)) = hAPP(_u3174, _u3175)) )).
% 43.37/43.62 cnf(matrix-2062, plain, ( ~class_Groups_Ocomm__monoid__add(_u3177) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3178), _u3179)) | ~hBOOL(hAPP(hAPP(c_member(_u3178), _u3180), _u3179)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3178, _u3177), _u3181), _u3179) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3177), hAPP(_u3181, _u3180)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3178, _u3177), _u3181), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3178, tc_HOL_Obool)), _u3179), hAPP(hAPP(c_Set_Oinsert(_u3178), _u3180), c_Orderings_Obot__class_Obot(tc_fun(_u3178, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2063, plain, ( ~class_Groups_Ocomm__monoid__add(_u3182) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3183), _u3184)) | ~hBOOL(hAPP(hAPP(c_member(_u3183), _u3185), _u3184)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3183, _u3182), _u3186), _u3184) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3182), hAPP(_u3186, _u3185)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3183, _u3182), _u3186), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3183, tc_HOL_Obool)), _u3184), hAPP(hAPP(c_Set_Oinsert(_u3183), _u3185), c_Orderings_Obot__class_Obot(tc_fun(_u3183, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2064, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3187), _u3188)) | ( hAPP(c_Set_Oimage(_u3187, _u3189, _u3190), _u3188) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_fun(_u3189, tc_HOL_Obool), _u3187, c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3189, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u3187, tc_fun(_u3189, tc_HOL_Obool), tc_fun(_u3189, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u3189, tc_fun(tc_fun(_u3189, tc_HOL_Obool), tc_fun(_u3189, tc_HOL_Obool)), _u3187), c_Set_Oinsert(_u3189)), _u3190)), c_Orderings_Obot__class_Obot(tc_fun(_u3189, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(_u3189, tc_HOL_Obool))), _u3188)) )).
% 43.37/43.62 cnf(matrix-2065, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3191), _u3192)) | ~hBOOL(hAPP(hAPP(c_member(_u3191), _u3193), _u3192)) | ~hBOOL(hAPP(hAPP(c_member(_u3191), _u3194), _u3192)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3191), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3191, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3191, tc_HOL_Obool)), _u3192), hAPP(hAPP(c_Set_Oinsert(_u3191), _u3193), c_Orderings_Obot__class_Obot(tc_fun(_u3191, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u3191), _u3194), c_Orderings_Obot__class_Obot(tc_fun(_u3191, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3191), _u3192))) )).
% 43.37/43.62 cnf(matrix-2066, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3195), _u3196)) | ~hBOOL(hAPP(hAPP(c_member(_u3195), _u3197), _u3196)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3195), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3195, tc_HOL_Obool)), _u3196), hAPP(hAPP(c_Set_Oinsert(_u3195), _u3197), c_Orderings_Obot__class_Obot(tc_fun(_u3195, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3195), _u3196))) )).
% 43.37/43.62 cnf(matrix-2067, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3198), _u3199)) | ~hBOOL(hAPP(hAPP(c_member(_u3198), _u3200), _u3199)) | ( hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3198, tc_HOL_Obool)), _u3199), hAPP(hAPP(c_Set_Oinsert(_u3198), _u3200), c_Orderings_Obot__class_Obot(tc_fun(_u3198, tc_HOL_Obool)))))) = hAPP(c_Finite__Set_Ocard(_u3198), _u3199)) )).
% 43.37/43.62 cnf(matrix-2068, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u3203, _u3204, _u3205) | ( hAPP(_u3206, hAPP(hAPP(_u3204, skolem76(_u3207, _u3206, _u3205, _u3204, _u3203)), skolem77(_u3207, _u3206, _u3205, _u3204, _u3203))) != hAPP(hAPP(_u3204, hAPP(_u3206, skolem76(_u3207, _u3206, _u3205, _u3204, _u3203))), hAPP(_u3206, skolem77(_u3207, _u3206, _u3205, _u3204, _u3203)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3203), _u3207)) | ( _u3207 = c_Orderings_Obot__class_Obot(tc_fun(_u3203, tc_HOL_Obool))) | ( hAPP(_u3206, hAPP(_u3205, _u3207)) = hAPP(_u3205, hAPP(c_Set_Oimage(_u3203, _u3203, _u3206), _u3207))) )).
% 43.37/43.62 cnf(matrix-2069, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u3208, tc_fun(_u3208, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u3208, tc_HOL_Obool), tc_fun(tc_fun(_u3208, tc_HOL_Obool), tc_fun(_u3208, tc_HOL_Obool)), _u3208), hAPP(c_COMBC(tc_fun(_u3208, tc_HOL_Obool), tc_fun(_u3208, tc_HOL_Obool), tc_fun(_u3208, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u3208, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u3208, tc_fun(_u3208, tc_HOL_Obool), tc_fun(_u3208, tc_HOL_Obool)), c_Set_Oinsert(_u3208)), c_Orderings_Obot__class_Obot(tc_fun(_u3208, tc_HOL_Obool))))) )).
% 43.37/43.62 cnf(matrix-2070, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u3210, _u3211, _u3212, _u3213, _u3214, _u3215) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3211), _u3216)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3211), _u3217)) | ( hAPP(_u3215, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3211, tc_HOL_Obool)), _u3216), _u3217)) = hAPP(hAPP(_u3212, hAPP(_u3215, _u3216)), hAPP(_u3215, _u3217))) | hBOOL(hAPP(hAPP(c_member(_u3211), skolem78(_u3217, _u3216, _u3215, _u3214, _u3213, _u3212, _u3211)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3211, tc_HOL_Obool)), _u3216), _u3217))) )).
% 43.37/43.62 cnf(matrix-2071, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u3210, _u3211, _u3212, _u3213, _u3214, _u3215) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3211), _u3216)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3211), _u3217)) | ( hAPP(_u3215, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3211, tc_HOL_Obool)), _u3216), _u3217)) = hAPP(hAPP(_u3212, hAPP(_u3215, _u3216)), hAPP(_u3215, _u3217))) | ( hAPP(_u3214, skolem78(_u3217, _u3216, _u3215, _u3214, _u3213, _u3212, _u3211)) != _u3213) )).
% 43.37/43.62 cnf(matrix-2072, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3218) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3218), _u3219), _u3220) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3218), _u3221), _u3220)) | ( _u3219 = _u3221) )).
% 43.37/43.62 cnf(matrix-2073, plain, ( ~class_Groups_Ocancel__ab__semigroup__add(_u3222) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3222), _u3223), _u3224) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3222), _u3223), _u3225)) | ( _u3224 = _u3225) )).
% 43.37/43.62 cnf(matrix-2074, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3226) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3226), _u3227), _u3228) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3226), _u3227), _u3229)) | ( _u3228 = _u3229) )).
% 43.37/43.62 cnf(matrix-2075, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3230) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3230), _u3231), _u3232) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3230), _u3233), _u3232)) | ( _u3231 = _u3233) )).
% 43.37/43.62 cnf(matrix-2076, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3230) | ( _u3231 != _u3233) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3230), _u3231), _u3232) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3230), _u3233), _u3232)) )).
% 43.37/43.62 cnf(matrix-2077, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3234) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3234), _u3235), _u3236) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3234), _u3235), _u3237)) | ( _u3236 = _u3237) )).
% 43.37/43.62 cnf(matrix-2078, plain, ( ~class_Groups_Ocancel__semigroup__add(_u3234) | ( _u3236 != _u3237) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3234), _u3235), _u3236) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3234), _u3235), _u3237)) )).
% 43.37/43.62 cnf(matrix-2079, plain, ( ~class_Groups_Oab__semigroup__add(_u3238) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3238), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3238), _u3239), _u3240)), _u3241) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3238), _u3239), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3238), _u3240), _u3241))) )).
% 43.37/43.62 cnf(matrix-2080, plain, ( ( hAPP(hAPP(_u3244, _u3245), hAPP(hAPP(_u3244, _u3245), _u3246)) = hAPP(hAPP(_u3244, _u3245), _u3246)) | ~c_Finite__Set_Ofun__left__comm__idem(_u3242, _u3243, _u3244) )).
% 43.37/43.62 cnf(matrix-2081, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u3247, _u3248, _u3249) | c_Finite__Set_Ofun__left__comm__idem(_u3250, _u3248, hAPP(hAPP(c_COMBB(_u3247, tc_fun(_u3248, _u3248), _u3250), _u3249), _u3251)) )).
% 43.37/43.62 cnf(matrix-2082, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3252), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3252), _u3253), _u3254)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3252), _u3253), _u3255))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3252), _u3254), _u3255)) )).
% 43.37/43.62 cnf(matrix-2083, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3256) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3256), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3256), _u3257), _u3258)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3256), _u3259), _u3258))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3256), _u3257), _u3259)) )).
% 43.37/43.62 cnf(matrix-2084, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u3260) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3260), _u3261), _u3262)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3260), _u3263), _u3264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3260), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3260), _u3261), _u3263)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3260), _u3262), _u3264))) )).
% 43.37/43.62 cnf(matrix-2085, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u3265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), _u3266), _u3267)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3265), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3265), _u3268), _u3266)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3265), _u3268), _u3267))) )).
% 43.37/43.62 cnf(matrix-2086, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u3269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3269), _u3270), _u3271)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3269), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3269), _u3270), _u3272)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3269), _u3271), _u3272))) )).
% 43.37/43.62 cnf(matrix-2087, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3273), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3273), _u3274), _u3275)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3273), _u3274), _u3276))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3273), _u3275), _u3276)) )).
% 43.37/43.62 cnf(matrix-2088, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3273) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3273), _u3275), _u3276)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3273), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3273), _u3274), _u3275)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3273), _u3274), _u3276))) )).
% 43.37/43.62 cnf(matrix-2089, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3277), _u3278), _u3279)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3277), _u3280), _u3279))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), _u3278), _u3280)) )).
% 43.37/43.62 cnf(matrix-2090, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3277) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), _u3278), _u3280)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3277), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3277), _u3278), _u3279)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3277), _u3280), _u3279))) )).
% 43.37/43.62 cnf(matrix-2091, plain, ( ~class_Groups_Omonoid__add(_u3281) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3281), c_Groups_Ozero__class_Ozero(_u3281)), _u3282) = _u3282) )).
% 43.37/43.62 cnf(matrix-2092, plain, ( ~class_Groups_Ocomm__monoid__add(_u3283) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3283), c_Groups_Ozero__class_Ozero(_u3283)), _u3284) = _u3284) )).
% 43.37/43.62 cnf(matrix-2093, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3285) | ( c_Groups_Ozero__class_Ozero(_u3285) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3285), _u3286), _u3286)) | ( _u3286 = c_Groups_Ozero__class_Ozero(_u3285)) )).
% 43.37/43.62 cnf(matrix-2094, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3285) | ( _u3286 != c_Groups_Ozero__class_Ozero(_u3285)) | ( c_Groups_Ozero__class_Ozero(_u3285) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3285), _u3286), _u3286)) )).
% 43.37/43.62 cnf(matrix-2095, plain, ( ~class_Groups_Omonoid__add(_u3287) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3287), _u3288), c_Groups_Ozero__class_Ozero(_u3287)) = _u3288) )).
% 43.37/43.62 cnf(matrix-2096, plain, ( ~class_Groups_Ocomm__monoid__add(_u3289) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3289), _u3290), c_Groups_Ozero__class_Ozero(_u3289)) = _u3290) )).
% 43.37/43.62 cnf(matrix-2097, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3291) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3291), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3292), _u3293)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3291), _u3292), _u3294))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3291), _u3293), _u3294)) )).
% 43.37/43.62 cnf(matrix-2098, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3295) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3296), _u3297)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3295), _u3298), _u3297))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3295), _u3296), _u3298)) )).
% 43.37/43.62 cnf(matrix-2099, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3299) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3299), _u3300), _u3301)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3299), _u3302), _u3303)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3299), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3300), _u3302)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3299), _u3301), _u3303))) )).
% 43.37/43.62 cnf(matrix-2100, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3304) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), _u3305), _u3306)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3304), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3304), _u3307), _u3305)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3304), _u3307), _u3306))) )).
% 43.37/43.62 cnf(matrix-2101, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3308) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), _u3309), _u3310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3308), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3308), _u3309), _u3311)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3308), _u3310), _u3311))) )).
% 43.37/43.62 cnf(matrix-2102, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3312), _u3313), _u3314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3312), _u3313), _u3315))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3315)) )).
% 43.37/43.62 cnf(matrix-2103, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3312) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), _u3314), _u3315)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3312), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3312), _u3313), _u3314)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3312), _u3313), _u3315))) )).
% 43.37/43.62 cnf(matrix-2104, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3316), _u3317), _u3318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3316), _u3319), _u3318))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), _u3317), _u3319)) )).
% 43.37/43.62 cnf(matrix-2105, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u3316) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), _u3317), _u3319)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3316), _u3317), _u3318)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3316), _u3319), _u3318))) )).
% 43.37/43.62 cnf(matrix-2106, plain, ( ~class_Groups_Ogroup__add(_u3320) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3320), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3320), _u3321), _u3322)), _u3322) = _u3321) )).
% 43.37/43.62 cnf(matrix-2107, plain, ( ~class_Groups_Ogroup__add(_u3323) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3323), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3323), _u3324), _u3325)), _u3325) = _u3324) )).
% 43.37/43.62 cnf(matrix-2108, plain, ( ( _u3327 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3326), _u3327) != _u3326) )).
% 43.37/43.62 cnf(matrix-2109, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3330), _u3332) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3330 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2110, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3330), _u3332) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3332 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2111, plain, ( ( _u3331 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3333 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3331), _u3333) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2112, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3334), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u3334) )).
% 43.37/43.62 cnf(matrix-2113, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3335) = _u3335) )).
% 43.37/43.62 cnf(matrix-2114, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3336), hAPP(c_Nat_OSuc, _u3337)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3336), _u3337))) )).
% 43.37/43.62 cnf(matrix-2115, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3338)), _u3339) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3338), _u3339))) )).
% 43.37/43.62 cnf(matrix-2116, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3340)), _u3341) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3340), hAPP(c_Nat_OSuc, _u3341))) )).
% 43.37/43.62 cnf(matrix-2117, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3342), _u3343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3342), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3344), _u3343))) )).
% 43.37/43.62 cnf(matrix-2118, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3345), _u3346)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3345), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3346), _u3347))) )).
% 43.37/43.62 cnf(matrix-2119, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3348), _u3349)), _u3350)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3348), _u3350)) )).
% 43.37/43.62 cnf(matrix-2120, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3351), _u3352)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3353), _u3352) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3351), _u3354)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3353), _u3354)) )).
% 43.37/43.62 cnf(matrix-2121, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3355), _u3356)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3357), _u3358)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3355), _u3357)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3356), _u3358))) )).
% 43.37/43.62 cnf(matrix-2122, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3359), _u3360)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3359), _u3361)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3360), _u3361))) )).
% 43.37/43.62 cnf(matrix-2123, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3362), _u3363)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3364), _u3363))) )).
% 43.37/43.62 cnf(matrix-2124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3365), _u3366)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3366), _u3367))) )).
% 43.37/43.62 cnf(matrix-2125, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3373), _u3375)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3371), _u3373)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3371), _u3375))) )).
% 43.37/43.62 cnf(matrix-2126, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3374), _u3376)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3372), _u3374)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3372), _u3376))) )).
% 43.37/43.62 cnf(matrix-2127, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3377), _u3378)), _u3378)) )).
% 43.37/43.62 cnf(matrix-2128, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3379), _u3380)), _u3379)) )).
% 43.37/43.62 cnf(matrix-2129, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3381), _u3382)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3381), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3382), _u3383))) )).
% 43.37/43.62 cnf(matrix-2130, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3384), _u3385)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3384), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3386), _u3385))) )).
% 43.37/43.62 cnf(matrix-2131, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3387), _u3388)), _u3389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3387), _u3389)) )).
% 43.37/43.62 cnf(matrix-2132, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3387), _u3388)), _u3389)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3388), _u3389)) )).
% 43.37/43.62 cnf(matrix-2133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3390), _u3391)), _u3392)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3390), _u3392)) )).
% 43.37/43.62 cnf(matrix-2134, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3394), _u3395)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3393), _u3394)), _u3395)) )).
% 43.37/43.62 cnf(matrix-2135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3396), _u3397)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3398), _u3399)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3396), _u3398)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3397), _u3399))) )).
% 43.37/43.62 cnf(matrix-2136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3400), _u3401)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3400), _u3402)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3401), _u3402))) )).
% 43.37/43.62 cnf(matrix-2137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3403), _u3404)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3403), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3405), _u3404))) )).
% 43.37/43.62 cnf(matrix-2138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3406), _u3407)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3406), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3407), _u3408))) )).
% 43.37/43.62 cnf(matrix-2139, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3414), _u3416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3412), _u3414)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3412), _u3416))) )).
% 43.37/43.62 cnf(matrix-2140, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3415), _u3417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3413), _u3415)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3413), _u3417))) )).
% 43.37/43.62 cnf(matrix-2141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3422), _u3424)) | ( _u3424 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3422), skolem79(_u3424, _u3422))) )).
% 43.37/43.62 cnf(matrix-2142, plain, ( ( _u3425 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3423), _u3419)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3423), _u3425)) )).
% 43.37/43.62 cnf(matrix-2143, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3426), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3426), _u3427))) )).
% 43.37/43.62 cnf(matrix-2144, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3428), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3429), _u3428))) )).
% 43.37/43.62 cnf(matrix-2145, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3430), _u3431)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3432), _u3431)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3430), _u3432)) )).
% 43.37/43.62 cnf(matrix-2146, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3433), _u3434)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3433), _u3435)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3434), _u3435)) )).
% 43.37/43.62 cnf(matrix-2147, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3436), _u3437)), _u3438) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3436), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3437), _u3438))) )).
% 43.37/43.62 cnf(matrix-2148, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3439), _u3440)), _u3439) = _u3440) )).
% 43.37/43.62 cnf(matrix-2149, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3441), _u3442)), _u3442) = _u3441) )).
% 43.37/43.62 cnf(matrix-2150, plain, ( ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3443, _u3444, _u3445), _u3446), _u3447), c_Orderings_Obot__class_Obot(tc_fun(_u3444, tc_HOL_Obool))) = _u3447) )).
% 43.37/43.62 cnf(matrix-2151, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3448), _u3449)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3448), _u3450)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3448), _u3449)), hAPP(c_Finite__Set_Ocard(_u3448), _u3450)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3448), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3448, tc_HOL_Obool)), _u3449), _u3450))), hAPP(c_Finite__Set_Ocard(_u3448), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3448, tc_HOL_Obool)), _u3449), _u3450)))) )).
% 43.37/43.62 cnf(matrix-2152, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3451), _u3452)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3451), _u3453)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3451), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3451, tc_HOL_Obool)), _u3452), _u3453))), hAPP(c_Finite__Set_Ocard(_u3451), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3451, tc_HOL_Obool)), _u3452), _u3453))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3451), _u3452)), hAPP(c_Finite__Set_Ocard(_u3451), _u3453))) )).
% 43.37/43.62 cnf(matrix-2153, plain, ( ~class_Groups_Ocomm__monoid__add(_u3454) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3455), _u3456)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3455, _u3454), _u3457), _u3456) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3454, _u3455, c_Groups_Oplus__class_Oplus(_u3454)), _u3457), c_Groups_Ozero__class_Ozero(_u3454)), _u3456)) )).
% 43.37/43.62 cnf(matrix-2154, plain, ( ~class_Groups_Ocomm__monoid__add(_u3458) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3459), _u3460)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3459, _u3458), _u3461), _u3460) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3458, _u3459, c_Groups_Oplus__class_Oplus(_u3458)), _u3461), c_Groups_Ozero__class_Ozero(_u3458)), _u3460)) )).
% 43.37/43.62 cnf(matrix-2155, plain, ( ~class_Groups_Ocomm__monoid__add(_u3458) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3459), _u3460)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3459, _u3458), _u3461), _u3460) = c_Groups_Ozero__class_Ozero(_u3458)) )).
% 43.37/43.62 cnf(matrix-2156, plain, ( ~class_Groups_Ocomm__monoid__add(_u3462) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3463, _u3462), hAPP(hAPP(c_COMBS(_u3463, _u3462, _u3462), hAPP(hAPP(c_COMBB(_u3462, tc_fun(_u3462, _u3462), _u3463), c_Groups_Oplus__class_Oplus(_u3462)), _u3464)), _u3465)), _u3466) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3462), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3463, _u3462), _u3464), _u3466)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3463, _u3462), _u3465), _u3466))) )).
% 43.37/43.62 cnf(matrix-2157, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3467), _u3468)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3467), _u3469)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3467, tc_HOL_Obool)), _u3468), _u3469) != c_Orderings_Obot__class_Obot(tc_fun(_u3467, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ocard(_u3467), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3467, tc_HOL_Obool)), _u3468), _u3469)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3467), _u3468)), hAPP(c_Finite__Set_Ocard(_u3467), _u3469))) )).
% 43.37/43.62 cnf(matrix-2158, plain, ( c_Finite__Set_Ofun__left__comm__idem(_u3470, tc_fun(_u3470, tc_HOL_Obool), c_Set_Oinsert(_u3470)) )).
% 43.37/43.62 cnf(matrix-2159, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3471), c_Orderings_Obot__class_Obot(tc_fun(_u3471, tc_HOL_Obool))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2160, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3472), _u3473)) | ( hAPP(c_Finite__Set_Ocard(_u3472), _u3473) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2161, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3474), c_Groups_Ozero__class_Ozero(_u3474)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3474), _u3475), _u3475))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3474), c_Groups_Ozero__class_Ozero(_u3474)), _u3475)) )).
% 43.37/43.62 cnf(matrix-2162, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3474), c_Groups_Ozero__class_Ozero(_u3474)), _u3475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3474), c_Groups_Ozero__class_Ozero(_u3474)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3474), _u3475), _u3475))) )).
% 43.37/43.62 cnf(matrix-2163, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3476), _u3477), _u3477)), c_Groups_Ozero__class_Ozero(_u3476))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3476), _u3477), c_Groups_Ozero__class_Ozero(_u3476))) )).
% 43.37/43.62 cnf(matrix-2164, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3476) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3476), _u3477), c_Groups_Ozero__class_Ozero(_u3476))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3476), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3476), _u3477), _u3477)), c_Groups_Ozero__class_Ozero(_u3476))) )).
% 43.37/43.62 cnf(matrix-2165, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3478), c_Groups_Ozero__class_Ozero(_u3478)), _u3479)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3478), c_Groups_Ozero__class_Ozero(_u3478)), _u3480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3478), c_Groups_Ozero__class_Ozero(_u3478)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3478), _u3479), _u3480))) )).
% 43.37/43.62 cnf(matrix-2166, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), _u3482), _u3483) != c_Groups_Ozero__class_Ozero(_u3481)) | ( _u3482 = c_Groups_Ozero__class_Ozero(_u3481)) )).
% 43.37/43.62 cnf(matrix-2167, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3483)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), _u3482), _u3483) != c_Groups_Ozero__class_Ozero(_u3481)) | ( _u3483 = c_Groups_Ozero__class_Ozero(_u3481)) )).
% 43.37/43.62 cnf(matrix-2168, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3482)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3481), c_Groups_Ozero__class_Ozero(_u3481)), _u3483)) | ( _u3482 != c_Groups_Ozero__class_Ozero(_u3481)) | ( _u3483 != c_Groups_Ozero__class_Ozero(_u3481)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3481), _u3482), _u3483) = c_Groups_Ozero__class_Ozero(_u3481)) )).
% 43.37/43.62 cnf(matrix-2169, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3484) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3484), c_Groups_Ozero__class_Ozero(_u3484)), _u3485)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3484), _u3486), _u3487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3484), _u3486), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3484), _u3485), _u3487))) )).
% 43.37/43.62 cnf(matrix-2170, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3488) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3488), c_Groups_Ozero__class_Ozero(_u3488)), _u3489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3488), _u3490), _u3491)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3488), _u3490), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3488), _u3491), _u3489))) )).
% 43.37/43.62 cnf(matrix-2171, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3492) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3492), _u3493), c_Groups_Ozero__class_Ozero(_u3492))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3492), _u3494), c_Groups_Ozero__class_Ozero(_u3492))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3492), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3492), _u3493), _u3494)), c_Groups_Ozero__class_Ozero(_u3492))) )).
% 43.37/43.62 cnf(matrix-2172, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3495) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3495), _u3496), _u3497)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3495), _u3498), _u3499)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3495), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3495), _u3496), _u3498)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3495), _u3497), _u3499))) )).
% 43.37/43.62 cnf(matrix-2173, plain, ( ~class_Groups_Oordered__cancel__ab__semigroup__add(_u3500) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3500), _u3501), _u3502)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3500), _u3503), _u3504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3500), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3500), _u3501), _u3503)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3500), _u3502), _u3504))) )).
% 43.37/43.62 cnf(matrix-2174, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3505), c_Groups_Ozero__class_Ozero(_u3505)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3505), _u3506), _u3506))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3505), c_Groups_Ozero__class_Ozero(_u3505)), _u3506)) )).
% 43.37/43.62 cnf(matrix-2175, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3505) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3505), c_Groups_Ozero__class_Ozero(_u3505)), _u3506)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3505), c_Groups_Ozero__class_Ozero(_u3505)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3505), _u3506), _u3506))) )).
% 43.37/43.62 cnf(matrix-2176, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3507), _u3508), _u3508)), c_Groups_Ozero__class_Ozero(_u3507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3508), c_Groups_Ozero__class_Ozero(_u3507))) )).
% 43.37/43.62 cnf(matrix-2177, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3507) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), _u3508), c_Groups_Ozero__class_Ozero(_u3507))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3507), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3507), _u3508), _u3508)), c_Groups_Ozero__class_Ozero(_u3507))) )).
% 43.37/43.62 cnf(matrix-2178, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3509) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3509), c_Groups_Ozero__class_Ozero(_u3509)), _u3510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3509), c_Groups_Ozero__class_Ozero(_u3509)), _u3511)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3509), c_Groups_Ozero__class_Ozero(_u3509)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3509), _u3510), _u3511))) )).
% 43.37/43.62 cnf(matrix-2179, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3512) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3512), _u3513), c_Groups_Ozero__class_Ozero(_u3512))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3512), _u3514), c_Groups_Ozero__class_Ozero(_u3512))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3512), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3512), _u3513), _u3514)), c_Groups_Ozero__class_Ozero(_u3512))) )).
% 43.37/43.62 cnf(matrix-2180, plain, ( ~class_Lattices_Osemilattice__sup(_u3515) | c_Finite__Set_Ofun__left__comm__idem(_u3515, _u3515, c_Lattices_Osemilattice__sup__class_Osup(_u3515)) )).
% 43.37/43.62 cnf(matrix-2181, plain, ( ~class_Lattices_Osemilattice__inf(_u3516) | c_Finite__Set_Ofun__left__comm__idem(_u3516, _u3516, c_Lattices_Osemilattice__inf__class_Oinf(_u3516)) )).
% 43.37/43.62 cnf(matrix-2182, plain, ( ~c_Fun_Oinj__on(_u3517, _u3518, _u3519, _u3520) | ( hAPP(c_Finite__Set_Ocard(_u3518), hAPP(c_Set_Oimage(_u3517, _u3518, _u3519), _u3520)) = hAPP(c_Finite__Set_Ocard(_u3517), _u3520)) )).
% 43.37/43.62 cnf(matrix-2183, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3523), _u3525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3523 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3523 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2184, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3523), _u3525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3523 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2185, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3523), _u3525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3523 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2186, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3523), _u3525) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3525 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3525 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2187, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3524), _u3526) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3524 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3526 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2188, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3524), _u3526) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3524 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3526 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2189, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3529), _u3531)) | ( _u3529 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2190, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3529), _u3531)) | ( _u3529 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3531 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2191, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3529), _u3531)) | ( _u3531 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3529 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2192, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3529), _u3531)) | ( _u3531 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3531 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2193, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3530), _u3532)) | ( _u3530 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3532 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2194, plain, ( ( hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3530), _u3532)) | ( _u3530 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3532 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2195, 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), _u3535), _u3537))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3537)) )).
% 43.37/43.62 cnf(matrix-2196, 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), _u3536), _u3538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3536)) )).
% 43.37/43.62 cnf(matrix-2197, 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), _u3536), _u3538))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3538)) )).
% 43.37/43.62 cnf(matrix-2198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3543), _u3545)) | ( _u3545 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3543), skolem80(_u3545, _u3543)))) )).
% 43.37/43.62 cnf(matrix-2199, plain, ( ( _u3546 != hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3544), _u3540))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3544), _u3546)) )).
% 43.37/43.62 cnf(matrix-2200, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3547), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3548), _u3547)))) )).
% 43.37/43.62 cnf(matrix-2201, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3549), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3549), _u3550)))) )).
% 43.37/43.62 cnf(matrix-2202, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3551), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3551), _u3552)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2203, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3553), _u3554)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3554), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3553), _u3554)) = _u3553) )).
% 43.37/43.62 cnf(matrix-2204, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3558), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3560), _u3562))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3558), _u3562)), _u3560)) )).
% 43.37/43.62 cnf(matrix-2205, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3559), _u3563)), _u3561)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3559), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3561), _u3563))) )).
% 43.37/43.62 cnf(matrix-2206, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3564), _u3565)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3565), _u3566)), _u3564) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3565), _u3564)), _u3566)) )).
% 43.37/43.62 cnf(matrix-2207, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3567), _u3568)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3568), _u3567)), _u3569) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3568), _u3569)), _u3567)) )).
% 43.37/43.62 cnf(matrix-2208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3570), _u3571)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3572), _u3571)), _u3570) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3572), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3571), _u3570))) )).
% 43.37/43.62 cnf(matrix-2209, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3573), _u3574)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3574), _u3573) != _u3575) | ( _u3574 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3575), _u3573)) )).
% 43.37/43.62 cnf(matrix-2210, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3573), _u3574)) | ( _u3574 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3575), _u3573)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3574), _u3573) = _u3575) )).
% 43.37/43.62 cnf(matrix-2211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3576), _u3577)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3577), _u3576)), _u3576) = _u3577) )).
% 43.37/43.62 cnf(matrix-2212, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3578), _u3579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3580), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3579), _u3578))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3580), _u3578)), _u3579)) )).
% 43.37/43.62 cnf(matrix-2213, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3578), _u3579)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3580), _u3578)), _u3579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3580), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3579), _u3578))) )).
% 43.37/43.62 cnf(matrix-2214, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3581), _u3582)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3583), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3582), _u3581)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3583), _u3582)), _u3581)) )).
% 43.37/43.62 cnf(matrix-2215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3584), _u3585)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3585), _u3584)) = _u3585) )).
% 43.37/43.62 cnf(matrix-2216, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3586), _u3587)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3588), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3587), _u3588)), _u3586))) )).
% 43.37/43.62 cnf(matrix-2217, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3592), _u3594)), _u3596)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3592), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3596), _u3594))) )).
% 43.37/43.62 cnf(matrix-2218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3593), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3597), _u3595))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3593), _u3595)), _u3597)) )).
% 43.37/43.62 cnf(matrix-2219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3598), _u3599)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3600), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3599), _u3598)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3600), _u3598)), _u3599)) )).
% 43.37/43.62 cnf(matrix-2220, 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)), _u3601), _u3602) )).
% 43.37/43.62 cnf(matrix-2221, plain, ( ~class_Groups_Ocomm__monoid__add(_u3603) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3604), _u3605)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3604, _u3603), hAPP(hAPP(c_COMBS(_u3604, _u3603, _u3603), hAPP(hAPP(c_COMBB(_u3603, tc_fun(_u3603, _u3603), _u3604), c_Groups_Oplus__class_Oplus(_u3603)), _u3606)), _u3607)), _u3605) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3603), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3604, _u3603), _u3606), _u3605)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3604, _u3603), _u3607), _u3605))) )).
% 43.37/43.62 cnf(matrix-2222, plain, ( ~c_Finite__Set_Ofolding__image__simple(_u3608, _u3609, _u3610, _u3611, _u3612, _u3613) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3609), _u3614)) | ( hAPP(_u3613, _u3614) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3608, _u3609, _u3610), _u3612), _u3611), _u3614)) )).
% 43.37/43.62 cnf(matrix-2223, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3617), _u3619) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3619 = c_Orderings_Obot__class_Obot(tc_fun(_u3617, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3617), _u3619)) )).
% 43.37/43.62 cnf(matrix-2224, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3618), _u3620) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u3620 != c_Orderings_Obot__class_Obot(tc_fun(_u3618, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-2225, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3618), _u3620) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3618), _u3620)) )).
% 43.37/43.62 cnf(matrix-2226, 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(_u3621), _u3622))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3621), _u3622)) )).
% 43.37/43.62 cnf(matrix-2227, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3623), _u3624)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3623), _u3624)), hAPP(c_Finite__Set_Ocard(_u3623), hAPP(hAPP(c_Set_Oinsert(_u3623), _u3625), _u3624)))) )).
% 43.37/43.62 cnf(matrix-2228, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3626), _u3627)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3626, tc_HOL_Obool)), _u3628), _u3627)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3626), _u3628)), hAPP(c_Finite__Set_Ocard(_u3626), _u3627))) )).
% 43.37/43.62 cnf(matrix-2229, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3629), _u3630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3629, tc_HOL_Obool)), _u3631), _u3630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3629), _u3630)), hAPP(c_Finite__Set_Ocard(_u3629), _u3631))) | ( _u3631 = _u3630) )).
% 43.37/43.62 cnf(matrix-2230, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3632), _u3633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3634), hAPP(c_Set_Oimage(_u3632, _u3634, _u3635), _u3633))), hAPP(c_Finite__Set_Ocard(_u3632), _u3633))) )).
% 43.37/43.62 cnf(matrix-2231, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3636) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3636), c_Groups_Ozero__class_Ozero(_u3636)), _u3637)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3636), c_Groups_Ozero__class_Ozero(_u3636)), _u3638)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3636), c_Groups_Ozero__class_Ozero(_u3636)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3636), _u3637), _u3638))) )).
% 43.37/43.62 cnf(matrix-2232, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3639) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3639), c_Groups_Ozero__class_Ozero(_u3639)), _u3640)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3639), c_Groups_Ozero__class_Ozero(_u3639)), _u3641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3639), c_Groups_Ozero__class_Ozero(_u3639)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3639), _u3640), _u3641))) )).
% 43.37/43.62 cnf(matrix-2233, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3642), c_Groups_Ozero__class_Ozero(_u3642)), _u3643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3642), _u3644), _u3645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3642), _u3644), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3642), _u3643), _u3645))) )).
% 43.37/43.62 cnf(matrix-2234, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3646) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3646), c_Groups_Ozero__class_Ozero(_u3646)), _u3647)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3646), _u3648), _u3649)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3646), _u3648), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3646), _u3647), _u3649))) )).
% 43.37/43.62 cnf(matrix-2235, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3650), _u3651), c_Groups_Ozero__class_Ozero(_u3650))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3650), _u3652), c_Groups_Ozero__class_Ozero(_u3650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3650), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3650), _u3651), _u3652)), c_Groups_Ozero__class_Ozero(_u3650))) )).
% 43.37/43.62 cnf(matrix-2236, plain, ( ~class_Groups_Oordered__comm__monoid__add(_u3653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3653), _u3654), c_Groups_Ozero__class_Ozero(_u3653))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3653), _u3655), c_Groups_Ozero__class_Ozero(_u3653))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3653), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3653), _u3654), _u3655)), c_Groups_Ozero__class_Ozero(_u3653))) )).
% 43.37/43.62 cnf(matrix-2237, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3656), _u3657)) | ( hAPP(c_Finite__Set_Ocard(_u3658), hAPP(c_Set_Oimage(_u3656, _u3658, _u3659), _u3657)) != hAPP(c_Finite__Set_Ocard(_u3656), _u3657)) | c_Fun_Oinj__on(_u3656, _u3658, _u3659, _u3657) )).
% 43.37/43.62 cnf(matrix-2238, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3660), _u3661)) | ~c_Fun_Oinj__on(_u3660, _u3662, _u3663, _u3661) | ( hAPP(c_Finite__Set_Ocard(_u3662), hAPP(c_Set_Oimage(_u3660, _u3662, _u3663), _u3661)) = hAPP(c_Finite__Set_Ocard(_u3660), _u3661)) )).
% 43.37/43.62 cnf(matrix-2239, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3660), _u3661)) | ( hAPP(c_Finite__Set_Ocard(_u3662), hAPP(c_Set_Oimage(_u3660, _u3662, _u3663), _u3661)) != hAPP(c_Finite__Set_Ocard(_u3660), _u3661)) | c_Fun_Oinj__on(_u3660, _u3662, _u3663, _u3661) )).
% 43.37/43.62 cnf(matrix-2240, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3664), hAPP(c_Set_Oimage(_u3665, _u3664, _u3666), _u3667))), hAPP(c_Finite__Set_Ocard(_u3665), _u3667))) | ~c_Fun_Oinj__on(_u3665, _u3664, _u3666, _u3667) )).
% 43.37/43.62 cnf(matrix-2241, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3668), _u3669)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3668, tc_HOL_Obool)), _u3670), _u3669)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3668), _u3670)), hAPP(c_Finite__Set_Ocard(_u3668), _u3669))) )).
% 43.37/43.62 cnf(matrix-2242, plain, ( ~hBOOL(hAPP(_u3676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3678), _u3680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3678), _u3680)) | hBOOL(hAPP(_u3676, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2243, plain, ( ~hBOOL(hAPP(_u3676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3678), _u3680))) | ( _u3678 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3680), _u3671)) | hBOOL(hAPP(_u3676, _u3671)) )).
% 43.37/43.62 cnf(matrix-2244, plain, ( hBOOL(hAPP(_u3677, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3679), _u3681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3679), _u3681)) | ( _u3679 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3681), skolem81(_u3681, _u3679, _u3677))) )).
% 43.37/43.62 cnf(matrix-2245, plain, ( hBOOL(hAPP(_u3677, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3679), _u3681))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3679), _u3681)) | ~hBOOL(hAPP(_u3677, skolem81(_u3681, _u3679, _u3677))) )).
% 43.37/43.62 cnf(matrix-2246, plain, ( hBOOL(hAPP(_u3677, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3679), _u3681))) | ~hBOOL(hAPP(_u3677, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3679 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3681), skolem81(_u3681, _u3679, _u3677))) )).
% 43.37/43.62 cnf(matrix-2247, plain, ( hBOOL(hAPP(_u3677, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3679), _u3681))) | ~hBOOL(hAPP(_u3677, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3677, skolem81(_u3681, _u3679, _u3677))) )).
% 43.37/43.62 cnf(matrix-2248, plain, ( ~hBOOL(hAPP(_u3687, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3691))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3689), _u3691)) | hBOOL(hAPP(_u3687, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2249, plain, ( ~hBOOL(hAPP(_u3687, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3689), _u3691))) | ( _u3689 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3691), _u3682)) | hBOOL(hAPP(_u3687, _u3682)) )).
% 43.37/43.62 cnf(matrix-2250, plain, ( hBOOL(hAPP(_u3688, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3690), _u3692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3690), _u3692)) | ( _u3690 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3692), skolem82(_u3692, _u3690, _u3688))) )).
% 43.37/43.62 cnf(matrix-2251, plain, ( hBOOL(hAPP(_u3688, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3690), _u3692))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3690), _u3692)) | ~hBOOL(hAPP(_u3688, skolem82(_u3692, _u3690, _u3688))) )).
% 43.37/43.62 cnf(matrix-2252, plain, ( hBOOL(hAPP(_u3688, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3690), _u3692))) | ~hBOOL(hAPP(_u3688, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u3690 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3692), skolem82(_u3692, _u3690, _u3688))) )).
% 43.37/43.62 cnf(matrix-2253, plain, ( hBOOL(hAPP(_u3688, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3690), _u3692))) | ~hBOOL(hAPP(_u3688, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u3688, skolem82(_u3692, _u3690, _u3688))) )).
% 43.37/43.62 cnf(matrix-2254, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3693), _u3694)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3695), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3694), _u3693))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3695), _u3693)), hAPP(c_Nat_OSuc, _u3694))) )).
% 43.37/43.62 cnf(matrix-2255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3696), _u3697)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3697), _u3696))), _u3698) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3697)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3696), _u3698))) )).
% 43.37/43.62 cnf(matrix-2256, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3699), _u3700)) | ~hBOOL(hAPP(hAPP(c_member(_u3699), _u3701), _u3700)) | ( hAPP(c_Finite__Set_Ocard(_u3699), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3701), _u3700)) = hAPP(c_Finite__Set_Ocard(_u3699), _u3700)) )).
% 43.37/43.62 cnf(matrix-2257, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3699), _u3700)) | hBOOL(hAPP(hAPP(c_member(_u3699), _u3701), _u3700)) | ( hAPP(c_Finite__Set_Ocard(_u3699), hAPP(hAPP(c_Set_Oinsert(_u3699), _u3701), _u3700)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3699), _u3700))) )).
% 43.37/43.62 cnf(matrix-2258, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3702), _u3703)) | hBOOL(hAPP(hAPP(c_member(_u3702), _u3704), _u3703)) | ( hAPP(c_Finite__Set_Ocard(_u3702), hAPP(hAPP(c_Set_Oinsert(_u3702), _u3704), _u3703)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3702), _u3703))) )).
% 43.37/43.62 cnf(matrix-2259, 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(_u3707), _u3709))) | ( _u3709 != c_Orderings_Obot__class_Obot(tc_fun(_u3707, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-2260, 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(_u3707), _u3709))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3707), _u3709)) )).
% 43.37/43.62 cnf(matrix-2261, plain, ( ( _u3710 = c_Orderings_Obot__class_Obot(tc_fun(_u3708, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3708), _u3710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3708), _u3710))) )).
% 43.37/43.62 cnf(matrix-2262, plain, ( ~c_Fun_Oinj__on(_u3711, _u3712, _u3713, _u3714) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3712, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3711, _u3712, _u3713), _u3714)), _u3715)) | ~c_Fun_Oinj__on(_u3712, _u3711, _u3716, _u3715) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3711, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3712, _u3711, _u3716), _u3715)), _u3714)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3711), _u3714)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3712), _u3715)) | ( hAPP(c_Finite__Set_Ocard(_u3711), _u3714) = hAPP(c_Finite__Set_Ocard(_u3712), _u3715)) )).
% 43.37/43.62 cnf(matrix-2263, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3717), _u3718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3717, tc_HOL_Obool)), _u3718), _u3719)) | ( hAPP(c_Finite__Set_Ocard(_u3717), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3717, tc_HOL_Obool)), _u3719), _u3718)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3717), _u3719)), hAPP(c_Finite__Set_Ocard(_u3717), _u3718))) )).
% 43.37/43.62 cnf(matrix-2264, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3720), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3720, tc_HOL_Obool)), _u3721), _u3722))) | ( hAPP(c_Finite__Set_Ocard(_u3720), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3720, tc_HOL_Obool)), _u3721), _u3722)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3720), _u3721)), hAPP(c_Finite__Set_Ocard(_u3720), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3720, tc_HOL_Obool)), _u3721), _u3722)))) )).
% 43.37/43.62 cnf(matrix-2265, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3723), _u3724)) | 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(_u3723), _u3725)), hAPP(c_Finite__Set_Ocard(_u3723), _u3724))), hAPP(c_Finite__Set_Ocard(_u3723), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3723, tc_HOL_Obool)), _u3725), _u3724)))) )).
% 43.37/43.62 cnf(matrix-2266, plain, ( ~class_Groups_Ocomm__monoid__add(_u3726) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3727), _u3728)) | hBOOL(hAPP(hAPP(c_member(_u3727), _u3729), _u3728)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3727, _u3726), _u3730), hAPP(hAPP(c_Set_Oinsert(_u3727), _u3729), _u3728)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3726), hAPP(_u3730, _u3729)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3727, _u3726), _u3730), _u3728))) )).
% 43.37/43.62 cnf(matrix-2267, plain, ( ~class_Groups_Ocomm__monoid__add(_u3731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3732), _u3733)) | hBOOL(hAPP(hAPP(c_member(_u3732), _u3734), _u3733)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3732, _u3731), _u3735), hAPP(hAPP(c_Set_Oinsert(_u3732), _u3734), _u3733)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3731), hAPP(_u3735, _u3734)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3732, _u3731), _u3735), _u3733))) )).
% 43.37/43.62 cnf(matrix-2268, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3736), _u3737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3736, tc_HOL_Obool)), _u3738), _u3737)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3736), _u3738)), hAPP(c_Finite__Set_Ocard(_u3736), _u3737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u3736, tc_HOL_Obool)), _u3738), _u3737)) )).
% 43.37/43.62 cnf(matrix-2269, plain, ( ~class_Groups_Ocomm__monoid__add(_u3739) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3740), _u3741)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3740), _u3742)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3740, _u3739), _u3743), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3740, tc_HOL_Obool)), _u3741), _u3742))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3740, _u3739), _u3743), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3740, tc_HOL_Obool)), _u3741), _u3742))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3739), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3740, _u3739), _u3743), _u3741)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3740, _u3739), _u3743), _u3742))) )).
% 43.37/43.62 cnf(matrix-2270, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3744), _u3745)) | ( hAPP(c_Finite__Set_Ocard(_u3744), hAPP(hAPP(c_Set_Oinsert(_u3744), _u3746), _u3745)) = hAPP(c_Nat_OSuc, hAPP(c_Finite__Set_Ocard(_u3744), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3744, tc_HOL_Obool)), _u3745), hAPP(hAPP(c_Set_Oinsert(_u3744), _u3746), c_Orderings_Obot__class_Obot(tc_fun(_u3744, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2271, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3747), _u3748)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3747), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3747, tc_HOL_Obool)), _u3748), hAPP(hAPP(c_Set_Oinsert(_u3747), _u3749), c_Orderings_Obot__class_Obot(tc_fun(_u3747, tc_HOL_Obool)))))), hAPP(c_Finite__Set_Ocard(_u3747), _u3748))) )).
% 43.37/43.62 cnf(matrix-2272, plain, ( ~c_Fun_Oinj__on(_u3750, _u3751, _u3752, _u3753) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3751, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3750, _u3751, _u3752), _u3753)), _u3754)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3751), _u3754)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3750), _u3753)), hAPP(c_Finite__Set_Ocard(_u3751), _u3754))) )).
% 43.37/43.62 cnf(matrix-2273, plain, ( ~class_Groups_Ocomm__monoid__add(_u3755) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3756), _u3757)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3756, _u3755), _u3758), hAPP(hAPP(c_Set_Oinsert(_u3756), _u3759), _u3757)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3755), hAPP(_u3758, _u3759)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3756, _u3755), _u3758), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3756, tc_HOL_Obool)), _u3757), hAPP(hAPP(c_Set_Oinsert(_u3756), _u3759), c_Orderings_Obot__class_Obot(tc_fun(_u3756, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2274, plain, ( ~class_Groups_Ocomm__monoid__add(_u3760) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3761), _u3762)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3761), _u3763)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3761, tc_HOL_Obool)), _u3762), _u3763) != c_Orderings_Obot__class_Obot(tc_fun(_u3761, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3761, _u3760), _u3764), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3761, tc_HOL_Obool)), _u3762), _u3763)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3760), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3761, _u3760), _u3764), _u3762)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3761, _u3760), _u3764), _u3763))) )).
% 43.37/43.62 cnf(matrix-2275, plain, ( ~class_Groups_Oab__group__add(_u3765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3766), _u3767)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3766), _u3768)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3766, _u3765), _u3769), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3766, tc_HOL_Obool)), _u3767), _u3768)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u3765), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3765), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3766, _u3765), _u3769), _u3767)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3766, _u3765), _u3769), _u3768))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3766, _u3765), _u3769), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3766, tc_HOL_Obool)), _u3767), _u3768)))) )).
% 43.37/43.62 cnf(matrix-2276, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3770), _u3771)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3770), _u3772)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3770, tc_Nat_Onat), _u3773), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3770, tc_HOL_Obool)), _u3771), _u3772)) = 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(_u3770, tc_Nat_Onat), _u3773), _u3771)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3770, tc_Nat_Onat), _u3773), _u3772))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3770, tc_Nat_Onat), _u3773), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3770, tc_HOL_Obool)), _u3771), _u3772)))) )).
% 43.37/43.62 cnf(matrix-2277, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3776), _u3777)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3778), _u3779)) | ~c_Fun_Oinj__on(_u3776, _u3778, _u3774, _u3777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3778, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3776, _u3778, _u3774), _u3777)), _u3779)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3776), _u3777)), hAPP(c_Finite__Set_Ocard(_u3778), _u3779))) )).
% 43.37/43.62 cnf(matrix-2278, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3776), _u3777)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3778), _u3779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3776), _u3777)), hAPP(c_Finite__Set_Ocard(_u3778), _u3779))) | c_Fun_Oinj__on(_u3776, _u3778, skolem83(_u3779, _u3778, _u3777, _u3776), _u3777) )).
% 43.37/43.62 cnf(matrix-2279, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3776), _u3777)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3778), _u3779)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3776), _u3777)), hAPP(c_Finite__Set_Ocard(_u3778), _u3779))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u3778, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u3776, _u3778, skolem83(_u3779, _u3778, _u3777, _u3776)), _u3777)), _u3779)) )).
% 43.37/43.62 cnf(matrix-2280, plain, ( ~class_Rings_Olinordered__idom(_u3780) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3780), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3780), _u3781), _u3781)), c_Groups_Ozero__class_Ozero(_u3780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3780), _u3781), c_Groups_Ozero__class_Ozero(_u3780))) )).
% 43.37/43.62 cnf(matrix-2281, plain, ( ~class_Rings_Olinordered__idom(_u3780) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3780), _u3781), c_Groups_Ozero__class_Ozero(_u3780))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3780), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3780), _u3781), _u3781)), c_Groups_Ozero__class_Ozero(_u3780))) )).
% 43.37/43.62 cnf(matrix-2282, plain, ( ~class_Rings_Olinordered__semidom(_u3782) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3782), c_Groups_Ozero__class_Ozero(_u3782)), _u3783)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3782), _u3784), _u3785)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3782), _u3784), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3782), _u3783), _u3785))) )).
% 43.37/43.62 cnf(matrix-2283, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u3786, _u3787, _u3788, _u3789, _u3790) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3787), _u3791)) | ( hAPP(hAPP(_u3790, _u3792), _u3791) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u3786, _u3787, _u3788), _u3792), _u3789), _u3791)) )).
% 43.37/43.62 cnf(matrix-2284, plain, ( ~c_Big__Operators_Ocomm__monoid__big(_u3786, _u3787, _u3788, _u3789, _u3790) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u3787), _u3791)) | ( hAPP(hAPP(_u3790, _u3792), _u3791) = _u3789) )).
% 43.37/43.62 cnf(matrix-2285, plain, ( ~class_Groups_Ocomm__monoid__add(_u3794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3795), _u3796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3795), _u3797)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3795, tc_HOL_Obool)), _u3796), _u3797)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3794), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), _u3796)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), _u3797))) | hBOOL(hAPP(hAPP(c_member(_u3795), skolem84(_u3798, _u3797, _u3796, _u3795, _u3794)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3795, tc_HOL_Obool)), _u3796), _u3797))) )).
% 43.37/43.62 cnf(matrix-2286, plain, ( ~class_Groups_Ocomm__monoid__add(_u3794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3795), _u3796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3795), _u3797)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3795, tc_HOL_Obool)), _u3796), _u3797)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3794), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), _u3796)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3795, _u3794), _u3798), _u3797))) | ( hAPP(_u3798, skolem84(_u3798, _u3797, _u3796, _u3795, _u3794)) != c_Groups_Ozero__class_Ozero(_u3794)) )).
% 43.37/43.62 cnf(matrix-2287, plain, ( ~class_Groups_Ocomm__monoid__add(_u3800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3801), _u3802)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3801), _u3803)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3801, tc_HOL_Obool)), _u3802), _u3803)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3800), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), _u3802)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), _u3803))) | hBOOL(hAPP(hAPP(c_member(_u3801), skolem85(_u3804, _u3803, _u3802, _u3801, _u3800)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3801, tc_HOL_Obool)), _u3802), _u3803))) )).
% 43.37/43.62 cnf(matrix-2288, plain, ( ~class_Groups_Ocomm__monoid__add(_u3800) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3801), _u3802)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3801), _u3803)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3801, tc_HOL_Obool)), _u3802), _u3803)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3800), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), _u3802)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3801, _u3800), _u3804), _u3803))) | ( hAPP(_u3804, skolem85(_u3804, _u3803, _u3802, _u3801, _u3800)) != c_Groups_Ozero__class_Ozero(_u3800)) )).
% 43.37/43.62 cnf(matrix-2289, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3812), _u3814) != hAPP(c_Nat_OSuc, _u3816)) | ( _u3814 = hAPP(hAPP(c_Set_Oinsert(_u3812), skolem86(_u3816, _u3814, _u3812)), skolem87(_u3816, _u3814, _u3812))) )).
% 43.37/43.62 cnf(matrix-2290, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3812), _u3814) != hAPP(c_Nat_OSuc, _u3816)) | ~hBOOL(hAPP(hAPP(c_member(_u3812), skolem86(_u3816, _u3814, _u3812)), skolem87(_u3816, _u3814, _u3812))) )).
% 43.37/43.62 cnf(matrix-2291, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3812), _u3814) != hAPP(c_Nat_OSuc, _u3816)) | ( hAPP(c_Finite__Set_Ocard(_u3812), skolem87(_u3816, _u3814, _u3812)) = _u3816) )).
% 43.37/43.62 cnf(matrix-2292, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3812), _u3814) != hAPP(c_Nat_OSuc, _u3816)) | ( _u3816 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem87(_u3816, _u3814, _u3812) = c_Orderings_Obot__class_Obot(tc_fun(_u3812, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-2293, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3813), _u3815) = hAPP(c_Nat_OSuc, _u3817)) | ( _u3815 != hAPP(hAPP(c_Set_Oinsert(_u3813), _u3808), _u3807)) | hBOOL(hAPP(hAPP(c_member(_u3813), _u3808), _u3807)) | ( hAPP(c_Finite__Set_Ocard(_u3813), _u3807) != _u3817) | ( _u3817 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2294, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3813), _u3815) = hAPP(c_Nat_OSuc, _u3817)) | ( _u3815 != hAPP(hAPP(c_Set_Oinsert(_u3813), _u3808), _u3807)) | hBOOL(hAPP(hAPP(c_member(_u3813), _u3808), _u3807)) | ( hAPP(c_Finite__Set_Ocard(_u3813), _u3807) != _u3817) | ( _u3807 != c_Orderings_Obot__class_Obot(tc_fun(_u3813, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-2295, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), _u3819)) | ~hBOOL(hAPP(hAPP(c_member(_u3818), _u3820), _u3819)) | ( hAPP(c_Finite__Set_Ocard(_u3818), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3818, tc_HOL_Obool)), _u3819), hAPP(hAPP(c_Set_Oinsert(_u3818), _u3820), c_Orderings_Obot__class_Obot(tc_fun(_u3818, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3818), _u3819)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2296, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3818), _u3819)) | hBOOL(hAPP(hAPP(c_member(_u3818), _u3820), _u3819)) | ( hAPP(c_Finite__Set_Ocard(_u3818), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3818, tc_HOL_Obool)), _u3819), hAPP(hAPP(c_Set_Oinsert(_u3818), _u3820), c_Orderings_Obot__class_Obot(tc_fun(_u3818, tc_HOL_Obool))))) = hAPP(c_Finite__Set_Ocard(_u3818), _u3819)) )).
% 43.37/43.62 cnf(matrix-2297, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3821), _u3822)) | ~hBOOL(hAPP(hAPP(c_member(_u3821), _u3823), _u3822)) | ( hAPP(c_Finite__Set_Ocard(_u3821), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3821, tc_HOL_Obool)), _u3822), hAPP(hAPP(c_Set_Oinsert(_u3821), _u3823), c_Orderings_Obot__class_Obot(tc_fun(_u3821, tc_HOL_Obool))))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3821), _u3822)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2298, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3827), _u3829) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3831), _u3829)) | ( _u3827 = _u3831) )).
% 43.37/43.62 cnf(matrix-2299, plain, ( ( _u3828 != _u3832) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3828), _u3830) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3832), _u3830)) )).
% 43.37/43.62 cnf(matrix-2300, plain, ( ( _u3838 = _u3840) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3836), _u3838) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3836), _u3840)) )).
% 43.37/43.62 cnf(matrix-2301, plain, ( ( _u3839 != _u3841) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3837), _u3839) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3837), _u3841)) )).
% 43.37/43.62 cnf(matrix-2302, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3842), _u3843)), _u3844) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3842), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3843), _u3844))) )).
% 43.37/43.62 cnf(matrix-2303, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3845), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3846), _u3847)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3846), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3845), _u3847))) )).
% 43.37/43.62 cnf(matrix-2304, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3848), _u3849) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3849), _u3848)) )).
% 43.37/43.62 cnf(matrix-2305, plain, ( ~class_Rings_Ozero__neq__one(_u3850) | ( c_Groups_Oone__class_Oone(_u3850) != c_Groups_Ozero__class_Ozero(_u3850)) )).
% 43.37/43.62 cnf(matrix-2306, plain, ( ~class_Rings_Ozero__neq__one(_u3851) | ( c_Groups_Ozero__class_Ozero(_u3851) != c_Groups_Oone__class_Oone(_u3851)) )).
% 43.37/43.62 cnf(matrix-2307, plain, ( ~class_Groups_Oone(_u3852) | ( c_Groups_Oone__class_Oone(_u3852) != _u3853) | ( _u3853 = c_Groups_Oone__class_Oone(_u3852)) )).
% 43.37/43.62 cnf(matrix-2308, plain, ( ~class_Groups_Oone(_u3852) | ( _u3853 != c_Groups_Oone__class_Oone(_u3852)) | ( c_Groups_Oone__class_Oone(_u3852) = _u3853) )).
% 43.37/43.62 cnf(matrix-2309, plain, ( ( hAPP(c_Nat_OSuc, _u3854) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3854), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2310, plain, ( ( hAPP(c_Nat_OSuc, _u3855) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u3855)) )).
% 43.37/43.62 cnf(matrix-2311, plain, ( ~class_Rings_Olinordered__semidom(_u3856) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3856), c_Groups_Ozero__class_Ozero(_u3856)), c_Groups_Oone__class_Oone(_u3856))) )).
% 43.37/43.62 cnf(matrix-2312, plain, ( ~class_Rings_Olinordered__semidom(_u3857) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u3857), c_Groups_Oone__class_Oone(_u3857)), c_Groups_Ozero__class_Ozero(_u3857))) )).
% 43.37/43.62 cnf(matrix-2313, plain, ( ~class_Rings_Olinordered__semidom(_u3858) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3858), c_Groups_Ozero__class_Ozero(_u3858)), c_Groups_Oone__class_Oone(_u3858))) )).
% 43.37/43.62 cnf(matrix-2314, plain, ( ~class_Rings_Olinordered__semidom(_u3859) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3859), c_Groups_Oone__class_Oone(_u3859)), c_Groups_Ozero__class_Ozero(_u3859))) )).
% 43.37/43.62 cnf(matrix-2315, plain, ( ~class_Rings_Olinordered__semidom(_u3860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3860), _u3861), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3860), _u3861), c_Groups_Oone__class_Oone(_u3860)))) )).
% 43.37/43.62 cnf(matrix-2316, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3864), _u3866)) | ( hAPP(c_Finite__Set_Ocard(_u3864), _u3866) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u3864, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u3864), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3866)) )).
% 43.37/43.62 cnf(matrix-2317, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3865), _u3867)) | ( hAPP(c_Finite__Set_Ocard(_u3865), _u3867) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2318, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3868), _u3869)) | ( hAPP(c_Finite__Set_Ocard(_u3868), _u3869) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(tc_Nat_Onat, _u3868, c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), hAPP(c_COMBK(tc_Nat_Onat, _u3868), c_Groups_Oone__class_Oone(tc_Nat_Onat))), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3869)) )).
% 43.37/43.62 cnf(matrix-2319, plain, ( ~class_Rings_Olinordered__semidom(_u3870) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3870), c_Groups_Ozero__class_Ozero(_u3870)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3870), c_Groups_Oone__class_Oone(_u3870)), c_Groups_Oone__class_Oone(_u3870)))) )).
% 43.37/43.62 cnf(matrix-2320, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2321, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3871), hAPP(c_Nat_OSuc, _u3872)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3871), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3872)) )).
% 43.37/43.62 cnf(matrix-2322, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u3873)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u3873) )).
% 43.37/43.62 cnf(matrix-2323, plain, ( ( hAPP(c_Finite__Set_Ocard(_u3874), _u3875) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3874, tc_Nat_Onat), hAPP(c_COMBK(tc_Nat_Onat, _u3874), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3875)) )).
% 43.37/43.62 cnf(matrix-2324, plain, ( ( _u3878 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3878), _u3880) = _u3880) )).
% 43.37/43.62 cnf(matrix-2325, plain, ( ( _u3879 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u3879), _u3881) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3879), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u3881))) )).
% 43.37/43.62 cnf(matrix-2326, plain, ( ~class_Rings_Olinordered__idom(_u3882) | ( _u3883 = _u3884) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3882), _u3883), _u3884)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u3882), _u3884), _u3883)) )).
% 43.37/43.62 cnf(matrix-2327, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3889), skolem88(_u3891, _u3890, _u3889)), _u3890)) )).
% 43.37/43.62 cnf(matrix-2328, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3891, skolem88(_u3891, _u3890, _u3889)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2329, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3889), _u3885), _u3890)) | ( skolem88(_u3891, _u3890, _u3889) = _u3885) | ( hAPP(_u3891, _u3885) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2330, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3889), _u3888), _u3890)) | ( hAPP(_u3891, _u3888) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u3889), skolem89(_u3891, _u3890, _u3889, _u3888)), _u3890)) )).
% 43.37/43.62 cnf(matrix-2331, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3889), _u3888), _u3890)) | ( hAPP(_u3891, _u3888) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u3888 != skolem89(_u3891, _u3890, _u3889, _u3888)) )).
% 43.37/43.62 cnf(matrix-2332, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3889), _u3890)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u3889, tc_Nat_Onat), _u3891), _u3890) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u3889), _u3888), _u3890)) | ( hAPP(_u3891, _u3888) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u3891, skolem89(_u3891, _u3890, _u3889, _u3888)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2333, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3897)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3892), _u3897)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u3892), skolem90(_u3897))) )).
% 43.37/43.62 cnf(matrix-2334, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3898)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem91(_u3898, _u3895)), _u3898)) )).
% 43.37/43.62 cnf(matrix-2335, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3898)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem91(_u3898, _u3895)), _u3895)) )).
% 43.37/43.62 cnf(matrix-2336, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3904)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u3899), _u3904)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u3899), skolem92(_u3904))) )).
% 43.37/43.62 cnf(matrix-2337, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3905)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem93(_u3905, _u3902)), _u3905)) )).
% 43.37/43.62 cnf(matrix-2338, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u3905)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem93(_u3905, _u3902)), _u3902)) )).
% 43.37/43.62 cnf(matrix-2339, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3906), _u3907)) | hBOOL(hAPP(hAPP(c_member(_u3906), _u3908), _u3907)) | ( hAPP(c_Finite__Set_Ocard(_u3906), hAPP(hAPP(c_Set_Oinsert(_u3906), _u3908), _u3907)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3906), _u3907))) )).
% 43.37/43.62 cnf(matrix-2340, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3909)) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3909), c_Groups_Oone__class_Oone(tc_Nat_Onat))) = _u3909) )).
% 43.37/43.62 cnf(matrix-2341, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u3910)) | ( _u3910 = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u3910), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.37/43.62 cnf(matrix-2342, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u3912), _u3916)) | ( hAPP(hAPP(_u3915, _u3917), _u3916) = _u3914) | ~c_Big__Operators_Ocomm__monoid__big(_u3911, _u3912, _u3913, _u3914, _u3915) )).
% 43.37/43.62 cnf(matrix-2343, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3918), _u3919)) | ( hAPP(c_Finite__Set_Ocard(_u3918), hAPP(hAPP(c_Set_Oinsert(_u3918), _u3920), _u3919)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3918), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3918, tc_HOL_Obool)), _u3919), hAPP(hAPP(c_Set_Oinsert(_u3918), _u3920), c_Orderings_Obot__class_Obot(tc_fun(_u3918, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2344, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3921), _u3922)) | ~hBOOL(hAPP(hAPP(c_member(_u3921), _u3923), _u3922)) | ( hAPP(c_Finite__Set_Ocard(_u3921), _u3922) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(c_Finite__Set_Ocard(_u3921), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3921, tc_HOL_Obool)), _u3922), hAPP(hAPP(c_Set_Oinsert(_u3921), _u3923), c_Orderings_Obot__class_Obot(tc_fun(_u3921, tc_HOL_Obool))))))) )).
% 43.37/43.62 cnf(matrix-2345, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3924), _u3925)) | ~hBOOL(hAPP(hAPP(c_member(_u3924), _u3926), _u3925)) | hBOOL(hAPP(hAPP(c_member(_u3924), _u3926), _u3927)) | ( hAPP(c_Finite__Set_Ocard(_u3924), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3924, tc_HOL_Obool)), _u3925), hAPP(hAPP(c_Set_Oinsert(_u3924), _u3926), _u3927))) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3924), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u3924, tc_HOL_Obool)), _u3925), _u3927))), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2346, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3928) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3928), _u3929), _u3929) != c_Groups_Ozero__class_Ozero(_u3928)) | ( _u3929 = c_Groups_Ozero__class_Ozero(_u3928)) )).
% 43.37/43.62 cnf(matrix-2347, plain, ( ~class_Groups_Olinordered__ab__group__add(_u3928) | ( _u3929 != c_Groups_Ozero__class_Ozero(_u3928)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u3928), _u3929), _u3929) = c_Groups_Ozero__class_Ozero(_u3928)) )).
% 43.37/43.62 cnf(matrix-2348, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3932)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3933)) | ( hAPP(c_Finite__Set_Ocard(_u3931), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3931, tc_HOL_Obool)), _u3932), _u3933)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3931), _u3932)), hAPP(c_Finite__Set_Ocard(_u3931), _u3933))) | hBOOL(hAPP(hAPP(c_member(_u3931), skolem94(_u3933, _u3932, _u3931)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u3931, tc_HOL_Obool)), _u3932), _u3933))) )).
% 43.37/43.62 cnf(matrix-2349, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3932)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u3931), _u3933)) | ( hAPP(c_Finite__Set_Ocard(_u3931), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u3931, tc_HOL_Obool)), _u3932), _u3933)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u3931), _u3932)), hAPP(c_Finite__Set_Ocard(_u3931), _u3933))) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2350, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3940), _u3942), c_SetInterval_Oord_OgreaterThanAtMost(_u3940, _u3944, _u3946, _u3948, _u3950))) | hBOOL(hAPP(hAPP(_u3946, _u3948), _u3942)) )).
% 43.37/43.62 cnf(matrix-2351, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3940), _u3942), c_SetInterval_Oord_OgreaterThanAtMost(_u3940, _u3944, _u3946, _u3948, _u3950))) | hBOOL(hAPP(hAPP(_u3944, _u3942), _u3950)) )).
% 43.37/43.62 cnf(matrix-2352, plain, ( ~hBOOL(hAPP(hAPP(_u3947, _u3949), _u3943)) | ~hBOOL(hAPP(hAPP(_u3945, _u3943), _u3951)) | hBOOL(hAPP(hAPP(c_member(_u3941), _u3943), c_SetInterval_Oord_OgreaterThanAtMost(_u3941, _u3945, _u3947, _u3949, _u3951))) )).
% 43.37/43.62 cnf(matrix-2353, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3958), _u3960), c_SetInterval_Oord_OatLeastLessThan(_u3958, _u3962, _u3964, _u3966, _u3968))) | hBOOL(hAPP(hAPP(_u3962, _u3966), _u3960)) )).
% 43.37/43.62 cnf(matrix-2354, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3958), _u3960), c_SetInterval_Oord_OatLeastLessThan(_u3958, _u3962, _u3964, _u3966, _u3968))) | hBOOL(hAPP(hAPP(_u3964, _u3960), _u3968)) )).
% 43.37/43.62 cnf(matrix-2355, plain, ( ~hBOOL(hAPP(hAPP(_u3963, _u3967), _u3961)) | ~hBOOL(hAPP(hAPP(_u3965, _u3961), _u3969)) | hBOOL(hAPP(hAPP(c_member(_u3959), _u3961), c_SetInterval_Oord_OatLeastLessThan(_u3959, _u3963, _u3965, _u3967, _u3969))) )).
% 43.37/43.62 cnf(matrix-2356, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3975), _u3977), c_SetInterval_Oord_OgreaterThanLessThan(_u3975, _u3979, _u3981, _u3983))) | hBOOL(hAPP(hAPP(_u3979, _u3981), _u3977)) )).
% 43.37/43.62 cnf(matrix-2357, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3975), _u3977), c_SetInterval_Oord_OgreaterThanLessThan(_u3975, _u3979, _u3981, _u3983))) | hBOOL(hAPP(hAPP(_u3979, _u3977), _u3983)) )).
% 43.37/43.62 cnf(matrix-2358, plain, ( ~hBOOL(hAPP(hAPP(_u3980, _u3982), _u3978)) | ~hBOOL(hAPP(hAPP(_u3980, _u3978), _u3984)) | hBOOL(hAPP(hAPP(c_member(_u3976), _u3978), c_SetInterval_Oord_OgreaterThanLessThan(_u3976, _u3980, _u3982, _u3984))) )).
% 43.37/43.62 cnf(matrix-2359, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3990), _u3992), c_SetInterval_Oord_OatLeastAtMost(_u3990, _u3994, _u3996, _u3998))) | hBOOL(hAPP(hAPP(_u3994, _u3996), _u3992)) )).
% 43.37/43.62 cnf(matrix-2360, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u3990), _u3992), c_SetInterval_Oord_OatLeastAtMost(_u3990, _u3994, _u3996, _u3998))) | hBOOL(hAPP(hAPP(_u3994, _u3992), _u3998)) )).
% 43.37/43.62 cnf(matrix-2361, plain, ( ~hBOOL(hAPP(hAPP(_u3995, _u3997), _u3993)) | ~hBOOL(hAPP(hAPP(_u3995, _u3993), _u3999)) | hBOOL(hAPP(hAPP(c_member(_u3991), _u3993), c_SetInterval_Oord_OatLeastAtMost(_u3991, _u3995, _u3997, _u3999))) )).
% 43.37/43.62 cnf(matrix-2362, plain, ( hBOOL(hAPP(hAPP(_u4008, _u4010), _u4006)) | ~hBOOL(hAPP(hAPP(c_member(_u4004), _u4006), c_SetInterval_Oord_OgreaterThan(_u4004, _u4008, _u4010))) )).
% 43.37/43.62 cnf(matrix-2363, plain, ( ~hBOOL(hAPP(hAPP(_u4009, _u4011), _u4007)) | hBOOL(hAPP(hAPP(c_member(_u4005), _u4007), c_SetInterval_Oord_OgreaterThan(_u4005, _u4009, _u4011))) )).
% 43.37/43.62 cnf(matrix-2364, plain, ( hBOOL(hAPP(hAPP(_u4020, _u4018), _u4022)) | ~hBOOL(hAPP(hAPP(c_member(_u4016), _u4018), c_SetInterval_Oord_OlessThan(_u4016, _u4020, _u4022))) )).
% 43.37/43.62 cnf(matrix-2365, plain, ( ~hBOOL(hAPP(hAPP(_u4021, _u4019), _u4023)) | hBOOL(hAPP(hAPP(c_member(_u4017), _u4019), c_SetInterval_Oord_OlessThan(_u4017, _u4021, _u4023))) )).
% 43.37/43.62 cnf(matrix-2366, plain, ( hBOOL(hAPP(hAPP(_u4032, _u4034), _u4030)) | ~hBOOL(hAPP(hAPP(c_member(_u4028), _u4030), c_SetInterval_Oord_OatLeast(_u4028, _u4032, _u4034))) )).
% 43.37/43.62 cnf(matrix-2367, plain, ( ~hBOOL(hAPP(hAPP(_u4033, _u4035), _u4031)) | hBOOL(hAPP(hAPP(c_member(_u4029), _u4031), c_SetInterval_Oord_OatLeast(_u4029, _u4033, _u4035))) )).
% 43.37/43.62 cnf(matrix-2368, plain, ( hBOOL(hAPP(hAPP(_u4044, _u4042), _u4046)) | ~hBOOL(hAPP(hAPP(c_member(_u4040), _u4042), c_SetInterval_Oord_OatMost(_u4040, _u4044, _u4046))) )).
% 43.37/43.62 cnf(matrix-2369, plain, ( ~hBOOL(hAPP(hAPP(_u4045, _u4043), _u4047)) | hBOOL(hAPP(hAPP(c_member(_u4041), _u4043), c_SetInterval_Oord_OatMost(_u4041, _u4045, _u4047))) )).
% 43.37/43.62 cnf(matrix-2370, plain, ( ~class_Rings_Olinordered__idom(_u4048) | ~hBOOL(hAPP(hAPP(c_member(_u4048), _u4049), c_Int_Oring__1__class_OInts(_u4048))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), c_Groups_Oone__class_Oone(_u4048)), _u4049)), _u4049)), c_Groups_Ozero__class_Ozero(_u4048))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), _u4049), c_Groups_Ozero__class_Ozero(_u4048))) )).
% 43.37/43.62 cnf(matrix-2371, plain, ( ~class_Rings_Olinordered__idom(_u4048) | ~hBOOL(hAPP(hAPP(c_member(_u4048), _u4049), c_Int_Oring__1__class_OInts(_u4048))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), _u4049), c_Groups_Ozero__class_Ozero(_u4048))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4048), c_Groups_Oone__class_Oone(_u4048)), _u4049)), _u4049)), c_Groups_Ozero__class_Ozero(_u4048))) )).
% 43.37/43.62 cnf(matrix-2372, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSemi(_u4050, _u4051)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u4050)), c_Com_Ocom_Ocom__size(_u4051))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.62 cnf(matrix-2373, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4052) | ( _u4053 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4052), _u4053), _u4054)) | ( _u4054 = c_Groups_Ozero__class_Ozero(_u4052)) )).
% 43.37/43.62 cnf(matrix-2374, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4052) | ( _u4054 != c_Groups_Ozero__class_Ozero(_u4052)) | ( _u4053 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4052), _u4053), _u4054)) )).
% 43.37/43.62 cnf(matrix-2375, plain, ( ~class_Rings_Ocomm__semiring__1(_u4055) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4055), _u4056), c_Groups_Ozero__class_Ozero(_u4055)) = _u4056) )).
% 43.37/43.62 cnf(matrix-2376, plain, ( ~class_Rings_Ocomm__semiring__1(_u4057) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4057), c_Groups_Ozero__class_Ozero(_u4057)), _u4058) = _u4058) )).
% 43.37/43.62 cnf(matrix-2377, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4063), _u4065)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4067), _u4069)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u4063, _u4067)), c_Sum__Type_OPlus(_u4063, _u4067, _u4065, _u4069)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4063), _u4065)), hAPP(c_Finite__Set_Ocard(_u4067), _u4069))) )).
% 43.37/43.62 cnf(matrix-2378, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u4064, _u4068)), c_Sum__Type_OPlus(_u4064, _u4068, _u4066, _u4070)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4064), _u4066)) )).
% 43.37/43.62 cnf(matrix-2379, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_sum(_u4064, _u4068)), c_Sum__Type_OPlus(_u4064, _u4068, _u4066, _u4070)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4068), _u4070)) )).
% 43.37/43.62 cnf(matrix-2380, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OWhile(_u4071, _u4072)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u4072)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.62 cnf(matrix-2381, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u4074), _u4076)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4073, _u4074)), c_Sum__Type_OPlus(_u4073, _u4074, _u4075, _u4076))) )).
% 43.37/43.62 cnf(matrix-2382, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4077, _u4078)), c_Sum__Type_OPlus(_u4077, _u4078, _u4079, _u4080))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4077), _u4079)) )).
% 43.37/43.62 cnf(matrix-2383, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4081), _u4082)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4083), _u4084)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4081, _u4083)), c_Sum__Type_OPlus(_u4081, _u4083, _u4082, _u4084))) )).
% 43.37/43.62 cnf(matrix-2384, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4089, _u4091)), c_Sum__Type_OPlus(_u4089, _u4091, _u4093, _u4095))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4089), _u4093)) )).
% 43.37/43.62 cnf(matrix-2385, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4089, _u4091)), c_Sum__Type_OPlus(_u4089, _u4091, _u4093, _u4095))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4091), _u4095)) )).
% 43.37/43.62 cnf(matrix-2386, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4090), _u4094)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4092), _u4096)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u4090, _u4092)), c_Sum__Type_OPlus(_u4090, _u4092, _u4094, _u4096))) )).
% 43.37/43.62 cnf(matrix-2387, plain, ( ~class_Rings_Oring__1(_u4097) | hBOOL(hAPP(hAPP(c_member(_u4097), c_Groups_Ozero__class_Ozero(_u4097)), c_Int_Oring__1__class_OInts(_u4097))) )).
% 43.37/43.62 cnf(matrix-2388, plain, ( ~class_Rings_Oring__1(_u4098) | ~hBOOL(hAPP(hAPP(c_member(_u4098), _u4099), c_Int_Oring__1__class_OInts(_u4098))) | ~hBOOL(hAPP(hAPP(c_member(_u4098), _u4100), c_Int_Oring__1__class_OInts(_u4098))) | hBOOL(hAPP(hAPP(c_member(_u4098), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4098), _u4099), _u4100)), c_Int_Oring__1__class_OInts(_u4098))) )).
% 43.37/43.62 cnf(matrix-2389, plain, ( ~class_Rings_Oring__1(_u4101) | ~hBOOL(hAPP(hAPP(c_member(_u4101), _u4102), c_Int_Oring__1__class_OInts(_u4101))) | ~hBOOL(hAPP(hAPP(c_member(_u4101), _u4103), c_Int_Oring__1__class_OInts(_u4101))) | hBOOL(hAPP(hAPP(c_member(_u4101), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4101), _u4102), _u4103)), c_Int_Oring__1__class_OInts(_u4101))) )).
% 43.37/43.62 cnf(matrix-2390, plain, ( ~class_Rings_Oring__1(_u4104) | hBOOL(hAPP(hAPP(c_member(_u4104), c_Groups_Oone__class_Oone(_u4104)), c_Int_Oring__1__class_OInts(_u4104))) )).
% 43.37/43.62 cnf(matrix-2391, plain, ( ~class_Rings_Ocomm__semiring__1(_u4105) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), _u4106), _u4107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), _u4108), _u4109)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), _u4106), _u4108)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4105), _u4107), _u4109))) )).
% 43.37/43.62 cnf(matrix-2392, plain, ( ~class_Rings_Ocomm__semiring__1(_u4110) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4110), _u4111), _u4112)), _u4113) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4110), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4110), _u4111), _u4113)), _u4112)) )).
% 43.37/43.62 cnf(matrix-2393, plain, ( ~class_Rings_Ocomm__semiring__1(_u4114) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4114), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4114), _u4115), _u4116)), _u4117) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4114), _u4115), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4114), _u4116), _u4117))) )).
% 43.37/43.62 cnf(matrix-2394, plain, ( ~class_Rings_Ocomm__semiring__1(_u4118) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4118), _u4119), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4118), _u4120), _u4121)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4118), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4118), _u4119), _u4120)), _u4121)) )).
% 43.37/43.62 cnf(matrix-2395, plain, ( ~class_Rings_Ocomm__semiring__1(_u4122) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4122), _u4123), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4122), _u4124), _u4125)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4122), _u4124), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4122), _u4123), _u4125))) )).
% 43.37/43.62 cnf(matrix-2396, plain, ( ~class_Rings_Ocomm__semiring__1(_u4126) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4126), _u4127), _u4128) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4126), _u4128), _u4127)) )).
% 43.37/43.62 cnf(matrix-2397, plain, ( ( c_Com_Ocom_Ocom__size(hAPP(c_Com_Ocom_OBODY, _u4129)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2398, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2399, plain, ( ~class_Int_Oring__char__0(_u4130) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4131), c_Int_Oring__1__class_OInts(_u4130))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4130), _u4131), _u4131) != c_Groups_Ozero__class_Ozero(_u4130)) | ( _u4131 = c_Groups_Ozero__class_Ozero(_u4130)) )).
% 43.37/43.62 cnf(matrix-2400, plain, ( ~class_Int_Oring__char__0(_u4130) | ~hBOOL(hAPP(hAPP(c_member(_u4130), _u4131), c_Int_Oring__1__class_OInts(_u4130))) | ( _u4131 != c_Groups_Ozero__class_Ozero(_u4130)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4130), _u4131), _u4131) = c_Groups_Ozero__class_Ozero(_u4130)) )).
% 43.37/43.62 cnf(matrix-2401, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4132), _u4133)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4134), _u4135)) | ( hAPP(c_Finite__Set_Ocard(tc_sum(_u4132, _u4134)), c_Sum__Type_OPlus(_u4132, _u4134, _u4133, _u4135)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u4132), _u4133)), hAPP(c_Finite__Set_Ocard(_u4134), _u4135))) )).
% 43.37/43.62 cnf(matrix-2402, plain, ( ~class_Int_Oring__char__0(_u4136) | ~hBOOL(hAPP(hAPP(c_member(_u4136), _u4137), c_Int_Oring__1__class_OInts(_u4136))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4136), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4136), c_Groups_Oone__class_Oone(_u4136)), _u4137)), _u4137) != c_Groups_Ozero__class_Ozero(_u4136)) )).
% 43.37/43.62 cnf(matrix-2403, plain, ( ( c_Sum__Type_OPlus(_u4142, _u4144, _u4146, _u4148) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4142, _u4144), tc_HOL_Obool))) | ( _u4146 = c_Orderings_Obot__class_Obot(tc_fun(_u4142, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-2404, plain, ( ( c_Sum__Type_OPlus(_u4142, _u4144, _u4146, _u4148) != c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4142, _u4144), tc_HOL_Obool))) | ( _u4148 = c_Orderings_Obot__class_Obot(tc_fun(_u4144, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-2405, plain, ( ( _u4147 != c_Orderings_Obot__class_Obot(tc_fun(_u4143, tc_HOL_Obool))) | ( _u4149 != c_Orderings_Obot__class_Obot(tc_fun(_u4145, tc_HOL_Obool))) | ( c_Sum__Type_OPlus(_u4143, _u4145, _u4147, _u4149) = c_Orderings_Obot__class_Obot(tc_fun(tc_sum(_u4143, _u4145), tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-2406, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSemi(_u4150, _u4151)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4150)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4151))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.62 cnf(matrix-2407, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OWhile(_u4152, _u4153)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u4153)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.37/43.62 cnf(matrix-2408, plain, ( hBOOL(hAPP(_u4156, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4156, _u4157)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem95(_u4157, _u4156)), _u4157)) )).
% 43.37/43.62 cnf(matrix-2409, plain, ( hBOOL(hAPP(_u4156, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4156, _u4157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4154), skolem95(_u4157, _u4156))) | ~hBOOL(hAPP(_u4156, _u4154)) )).
% 43.37/43.62 cnf(matrix-2410, plain, ( hBOOL(hAPP(_u4156, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u4156, _u4157)) | hBOOL(hAPP(_u4156, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem95(_u4157, _u4156)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.37/43.62 cnf(matrix-2411, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4158) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4159), _u4160)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4159), _u4161)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4159, tc_HOL_Obool)), _u4160), _u4161) != c_Orderings_Obot__class_Obot(tc_fun(_u4159, tc_HOL_Obool))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4158, _u4159, c_Groups_Otimes__class_Otimes(_u4158)), _u4162), c_Groups_Oone__class_Oone(_u4158)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4159, tc_HOL_Obool)), _u4160), _u4161)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4158), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4158, _u4159, c_Groups_Otimes__class_Otimes(_u4158)), _u4162), c_Groups_Oone__class_Oone(_u4158)), _u4160)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4158, _u4159, c_Groups_Otimes__class_Otimes(_u4158)), _u4162), c_Groups_Oone__class_Oone(_u4158)), _u4161))) )).
% 43.37/43.62 cnf(matrix-2412, 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)), _u4165), _u4164) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem96(_u4165, _u4164)), _u4164)) )).
% 43.37/43.62 cnf(matrix-2413, 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)), _u4165), _u4164) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4165), skolem96(_u4165, _u4164))) )).
% 43.37/43.62 cnf(matrix-2414, plain, ( ~class_Groups_Oab__group__add(_u4166) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4167), _u4168)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4166), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u4166, _u4166), hAPP(hAPP(c_COMBB(_u4166, tc_fun(_u4166, _u4166), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u4166)), _u4169)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u4166, tc_Nat_Onat), _u4169), 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, _u4167, _u4168)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4166), hAPP(_u4169, _u4167)), hAPP(_u4169, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4168), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 43.37/43.62 cnf(matrix-2415, plain, ( ~class_Groups_Oab__group__add(_u4166) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4167), _u4168)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4166), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u4166, _u4166), hAPP(hAPP(c_COMBB(_u4166, tc_fun(_u4166, _u4166), tc_Nat_Onat), c_Groups_Ominus__class_Ominus(_u4166)), _u4169)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u4166, tc_Nat_Onat), _u4169), 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, _u4167, _u4168)) = c_Groups_Ozero__class_Ozero(_u4166)) )).
% 43.37/43.62 cnf(matrix-2416, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4170) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4171), _u4172)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4171), _u4173)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4170), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4170, _u4171, c_Groups_Otimes__class_Otimes(_u4170)), _u4174), c_Groups_Oone__class_Oone(_u4170)), _u4172)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4170, _u4171, c_Groups_Otimes__class_Otimes(_u4170)), _u4174), c_Groups_Oone__class_Oone(_u4170)), _u4173)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4170), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4170, _u4171, c_Groups_Otimes__class_Otimes(_u4170)), _u4174), c_Groups_Oone__class_Oone(_u4170)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4171, tc_HOL_Obool)), _u4172), _u4173))), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4170, _u4171, c_Groups_Otimes__class_Otimes(_u4170)), _u4174), c_Groups_Oone__class_Oone(_u4170)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4171, tc_HOL_Obool)), _u4172), _u4173)))) )).
% 43.37/43.62 cnf(matrix-2417, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4175, _u4176))) )).
% 43.37/43.62 cnf(matrix-2418, plain, ( ~class_Rings_Ocomm__semiring__1(_u4177) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), _u4178), _u4179)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), _u4180), _u4181)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), _u4178), _u4180)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4177), _u4179), _u4181))) )).
% 43.37/43.62 cnf(matrix-2419, plain, ( ~class_Rings_Ocomm__semiring__1(_u4182) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), _u4183), _u4184)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), _u4185), _u4186)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), _u4185), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4182), _u4183), _u4184)), _u4186))) )).
% 43.37/43.62 cnf(matrix-2420, plain, ( ~class_Rings_Ocomm__semiring__1(_u4187) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4188), _u4189)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4190), _u4191)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4189), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4187), _u4190), _u4191)))) )).
% 43.37/43.62 cnf(matrix-2421, plain, ( ~class_Rings_Ocomm__semiring__1(_u4192) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4192), _u4193), _u4194)), _u4195) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4192), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4192), _u4193), _u4195)), _u4194)) )).
% 43.37/43.62 cnf(matrix-2422, plain, ( ~class_Rings_Ocomm__semiring__1(_u4196) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4196), _u4197), _u4198)), _u4199) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4196), _u4197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4196), _u4198), _u4199))) )).
% 43.37/43.62 cnf(matrix-2423, plain, ( ~class_Rings_Ocomm__semiring__1(_u4200) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4200), _u4201), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4200), _u4202), _u4203)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4200), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4200), _u4201), _u4202)), _u4203)) )).
% 43.37/43.62 cnf(matrix-2424, plain, ( ~class_Rings_Ocomm__semiring__1(_u4204) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4204), _u4205), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4204), _u4206), _u4207)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4204), _u4206), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4204), _u4205), _u4207))) )).
% 43.37/43.62 cnf(matrix-2425, plain, ( ~class_Rings_Ocomm__semiring__1(_u4208) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4208), _u4209), _u4210) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4208), _u4210), _u4209)) )).
% 43.37/43.62 cnf(matrix-2426, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4211) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4211), _u4212), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4211), _u4212), _u4213)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4211), _u4212), _u4213)) )).
% 43.37/43.62 cnf(matrix-2427, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4214) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4214), _u4215), _u4215) = _u4215) )).
% 43.37/43.62 cnf(matrix-2428, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4216) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4216), _u4217), _u4217) = _u4217) )).
% 43.37/43.62 cnf(matrix-2429, plain, ( ~class_Groups_Oab__semigroup__mult(_u4218) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4218), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4218), _u4219), _u4220)), _u4221) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4218), _u4219), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4218), _u4220), _u4221))) )).
% 43.37/43.62 cnf(matrix-2430, plain, ( ~class_Rings_Ono__zero__divisors(_u4222) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4222), _u4223), _u4224) != c_Groups_Ozero__class_Ozero(_u4222)) | ( _u4223 = c_Groups_Ozero__class_Ozero(_u4222)) | ( _u4224 = c_Groups_Ozero__class_Ozero(_u4222)) )).
% 43.37/43.62 cnf(matrix-2431, plain, ( ~class_Rings_Ono__zero__divisors(_u4225) | ( _u4226 = c_Groups_Ozero__class_Ozero(_u4225)) | ( _u4227 = c_Groups_Ozero__class_Ozero(_u4225)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4225), _u4226), _u4227) != c_Groups_Ozero__class_Ozero(_u4225)) )).
% 43.37/43.62 cnf(matrix-2432, plain, ( ~class_Rings_Oring__no__zero__divisors(_u4228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4228), _u4229), _u4230) != c_Groups_Ozero__class_Ozero(_u4228)) | ( _u4229 = c_Groups_Ozero__class_Ozero(_u4228)) | ( _u4230 = c_Groups_Ozero__class_Ozero(_u4228)) )).
% 43.37/43.62 cnf(matrix-2433, plain, ( ~class_Rings_Oring__no__zero__divisors(_u4228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4228), _u4229), _u4230) = c_Groups_Ozero__class_Ozero(_u4228)) | ( _u4229 != c_Groups_Ozero__class_Ozero(_u4228)) )).
% 43.37/43.62 cnf(matrix-2434, plain, ( ~class_Rings_Oring__no__zero__divisors(_u4228) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4228), _u4229), _u4230) = c_Groups_Ozero__class_Ozero(_u4228)) | ( _u4230 != c_Groups_Ozero__class_Ozero(_u4228)) )).
% 43.37/43.62 cnf(matrix-2435, plain, ( ~class_Rings_Omult__zero(_u4231) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4231), _u4232), c_Groups_Ozero__class_Ozero(_u4231)) = c_Groups_Ozero__class_Ozero(_u4231)) )).
% 43.37/43.62 cnf(matrix-2436, plain, ( ~class_Rings_Omult__zero(_u4233) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4233), c_Groups_Ozero__class_Ozero(_u4233)), _u4234) = c_Groups_Ozero__class_Ozero(_u4233)) )).
% 43.37/43.62 cnf(matrix-2437, plain, ( ~class_Rings_Ocomm__semiring__1(_u4235) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4235), _u4236), c_Groups_Ozero__class_Ozero(_u4235)) = c_Groups_Ozero__class_Ozero(_u4235)) )).
% 43.37/43.62 cnf(matrix-2438, plain, ( ~class_Rings_Ocomm__semiring__1(_u4237) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4237), c_Groups_Ozero__class_Ozero(_u4237)), _u4238) = c_Groups_Ozero__class_Ozero(_u4237)) )).
% 43.37/43.62 cnf(matrix-2439, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4239, _u4240)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4239), hAPP(c_Nat_OSuc, _u4240))) )).
% 43.37/43.62 cnf(matrix-2440, plain, ( ~class_Rings_Osemiring(_u4241) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4241), _u4242), _u4243)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4241), _u4244), _u4243)), _u4245)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4241), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4241), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4241), _u4242), _u4244)), _u4243)), _u4245)) )).
% 43.37/43.62 cnf(matrix-2441, plain, ( ~class_Rings_Ocomm__semiring(_u4246) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4246), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4246), _u4247), _u4248)), _u4249) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4246), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4246), _u4247), _u4249)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4246), _u4248), _u4249))) )).
% 43.37/43.62 cnf(matrix-2442, plain, ( ~class_Rings_Ocomm__semiring__1(_u4250) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4250), _u4251), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4250), _u4252), _u4253)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4250), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4250), _u4251), _u4252)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4250), _u4251), _u4253))) )).
% 43.37/43.62 cnf(matrix-2443, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4254) | ( _u4255 = _u4256) | ( _u4257 = _u4258) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4258)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4257))) )).
% 43.37/43.62 cnf(matrix-2444, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4254) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4258)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4257))) | ( _u4255 != _u4256) )).
% 43.37/43.62 cnf(matrix-2445, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4254) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4258)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4254), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4255), _u4258)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4254), _u4256), _u4257))) | ( _u4257 != _u4258) )).
% 43.37/43.62 cnf(matrix-2446, plain, ( ~class_Rings_Ocomm__semiring__1(_u4259) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4259), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4259), _u4260), _u4261)), _u4262) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4259), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4259), _u4260), _u4262)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4259), _u4261), _u4262))) )).
% 43.37/43.62 cnf(matrix-2447, plain, ( ~class_Rings_Ocomm__semiring__1(_u4263) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4263), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4263), _u4264), _u4265)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4263), _u4266), _u4265)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4263), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4263), _u4264), _u4266)), _u4265)) )).
% 43.37/43.62 cnf(matrix-2448, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4267) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4269)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4271)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4271)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4269))) | ( _u4268 = _u4270) | ( _u4269 = _u4271) )).
% 43.37/43.62 cnf(matrix-2449, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4267) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4269)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4271)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4271)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4269))) | ( _u4268 != _u4270) )).
% 43.37/43.62 cnf(matrix-2450, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4267) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4269)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4271)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4267), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4268), _u4271)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4267), _u4270), _u4269))) | ( _u4269 != _u4271) )).
% 43.37/43.62 cnf(matrix-2451, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4272) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4272), _u4273), c_Groups_Oone__class_Oone(_u4272)) = _u4273) )).
% 43.37/43.62 cnf(matrix-2452, plain, ( ~class_Groups_Omonoid__mult(_u4274) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4274), _u4275), c_Groups_Oone__class_Oone(_u4274)) = _u4275) )).
% 43.37/43.62 cnf(matrix-2453, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4276) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4276), c_Groups_Oone__class_Oone(_u4276)), _u4277) = _u4277) )).
% 43.37/43.62 cnf(matrix-2454, plain, ( ~class_Groups_Omonoid__mult(_u4278) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4278), c_Groups_Oone__class_Oone(_u4278)), _u4279) = _u4279) )).
% 43.37/43.62 cnf(matrix-2455, plain, ( ~class_Rings_Ocomm__semiring__1(_u4280) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4280), c_Groups_Oone__class_Oone(_u4280)), _u4281) = _u4281) )).
% 43.37/43.62 cnf(matrix-2456, plain, ( ~class_Rings_Ocomm__semiring__1(_u4282) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4282), _u4283), c_Groups_Oone__class_Oone(_u4282)) = _u4283) )).
% 43.37/43.62 cnf(matrix-2457, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4287), _u4289) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4291), _u4289)) | ( _u4287 = _u4291) | ( _u4289 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2458, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4288), _u4290) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4292), _u4290)) | ( _u4288 != _u4292) )).
% 43.37/43.62 cnf(matrix-2459, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4288), _u4290) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4292), _u4290)) | ( _u4290 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2460, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4296), _u4298) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4296), _u4300)) | ( _u4298 = _u4300) | ( _u4296 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2461, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4297), _u4299) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4297), _u4301)) | ( _u4299 != _u4301) )).
% 43.37/43.62 cnf(matrix-2462, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4297), _u4299) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4297), _u4301)) | ( _u4297 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2463, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4304), _u4306) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4304 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4306 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2464, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4305), _u4307) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4305 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2465, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4305), _u4307) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4307 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2466, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4308), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2467, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4309) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2468, plain, ( ( _u4315 = _u4317) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4313)), _u4315) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4313)), _u4317)) )).
% 43.37/43.62 cnf(matrix-2469, plain, ( ( _u4316 != _u4318) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4314)), _u4316) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4314)), _u4318)) )).
% 43.37/43.62 cnf(matrix-2470, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4319), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4320), _u4321)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4319), _u4320)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4319), _u4321))) )).
% 43.37/43.62 cnf(matrix-2471, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4322), _u4323)), _u4324) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4322), _u4324)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4323), _u4324))) )).
% 43.37/43.62 cnf(matrix-2472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4325), _u4326)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4327), _u4328)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4325), _u4327)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4326), _u4328))) )).
% 43.37/43.62 cnf(matrix-2473, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4329), _u4330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4331), _u4329)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4331), _u4330))) )).
% 43.37/43.62 cnf(matrix-2474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4332), _u4333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4332), _u4334)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4333), _u4334))) )).
% 43.37/43.62 cnf(matrix-2475, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4335), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4335), _u4335)))) )).
% 43.37/43.62 cnf(matrix-2476, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4336), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4336), _u4336))) )).
% 43.37/43.62 cnf(matrix-2477, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4337), _u4338)), _u4339) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4337), _u4339)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4338), _u4339))) )).
% 43.37/43.62 cnf(matrix-2478, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4340), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4341), _u4342)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4340), _u4341)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4340), _u4342))) )).
% 43.37/43.62 cnf(matrix-2479, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4345), _u4347) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4345 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2480, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4345), _u4347) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4347 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2481, plain, ( ( _u4346 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4348 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4346), _u4348) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2482, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4349), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u4349) )).
% 43.37/43.62 cnf(matrix-2483, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4352), _u4354)) | ( _u4352 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2484, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4352), _u4354)) | ( _u4354 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2485, plain, ( ( _u4353 != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4355 != 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), _u4353), _u4355)) )).
% 43.37/43.62 cnf(matrix-2486, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u4356) = _u4356) )).
% 43.37/43.62 cnf(matrix-2487, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u4357) | c_Finite__Set_Ofun__left__comm__idem(_u4357, _u4357, c_Groups_Otimes__class_Otimes(_u4357)) )).
% 43.37/43.62 cnf(matrix-2488, plain, ( ~class_Groups_Ocomm__monoid__add(_u4358) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4358), _u4359), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4360), hAPP(c_Nat_OSuc, _u4361))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4358), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u4358, tc_Nat_Onat), _u4359), c_Nat_OSuc)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4360, _u4361))) )).
% 43.37/43.62 cnf(matrix-2489, 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)), _u4362)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4363, _u4364)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4363), _u4362), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4364), _u4362))) )).
% 43.37/43.62 cnf(matrix-2490, plain, ( ~class_Groups_Ocomm__monoid__add(_u4365) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4365), _u4366), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4367), _u4368), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4369), _u4368))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4365), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u4365, tc_Nat_Onat), _u4366), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u4368))), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4367, _u4369))) )).
% 43.37/43.62 cnf(matrix-2491, plain, ( ~class_Rings_Osemiring__0(_u4370) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4370), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4371, _u4370), _u4372), _u4373)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4374, _u4370), _u4375), _u4376)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4371, _u4370), hAPP(hAPP(c_COMBC(_u4371, tc_fun(_u4374, tc_HOL_Obool), _u4370), hAPP(hAPP(c_COMBB(tc_fun(_u4374, _u4370), tc_fun(tc_fun(_u4374, tc_HOL_Obool), _u4370), _u4371), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4374, _u4370)), hAPP(hAPP(c_COMBC(_u4371, tc_fun(_u4374, _u4370), tc_fun(_u4374, _u4370)), hAPP(hAPP(c_COMBB(tc_fun(_u4370, _u4370), tc_fun(tc_fun(_u4374, _u4370), tc_fun(_u4374, _u4370)), _u4371), c_COMBB(_u4370, _u4370, _u4374)), hAPP(hAPP(c_COMBB(_u4370, tc_fun(_u4370, _u4370), _u4371), c_Groups_Otimes__class_Otimes(_u4370)), _u4372))), _u4375))), _u4376)), _u4373)) )).
% 43.37/43.62 cnf(matrix-2492, plain, ( ~class_Rings_Osemiring__0(_u4377) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4377), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4378, _u4377), _u4379), _u4380)), _u4381) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4378, _u4377), hAPP(hAPP(c_COMBC(_u4378, _u4377, _u4377), hAPP(hAPP(c_COMBB(_u4377, tc_fun(_u4377, _u4377), _u4378), c_Groups_Otimes__class_Otimes(_u4377)), _u4379)), _u4381)), _u4380)) )).
% 43.37/43.62 cnf(matrix-2493, plain, ( ~class_Rings_Osemiring__0(_u4382) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4384, _u4382), _u4385), _u4386)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u4384, _u4382), hAPP(hAPP(c_COMBB(_u4382, _u4382, _u4384), hAPP(c_Groups_Otimes__class_Otimes(_u4382), _u4383)), _u4385)), _u4386)) )).
% 43.37/43.62 cnf(matrix-2494, plain, ( ~class_Rings_Olinordered__ring(_u4387) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4387), c_Groups_Ozero__class_Ozero(_u4387)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4387), _u4388), _u4388))) )).
% 43.37/43.62 cnf(matrix-2495, plain, ( ~class_Rings_Olinordered__ring__strict(_u4389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4390), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.37/43.62 cnf(matrix-2496, plain, ( ~class_Rings_Olinordered__ring__strict(_u4389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4391), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.37/43.62 cnf(matrix-2497, plain, ( ~class_Rings_Olinordered__ring__strict(_u4389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4390), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.37/43.62 cnf(matrix-2498, plain, ( ~class_Rings_Olinordered__ring__strict(_u4389) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4391), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.37/43.62 cnf(matrix-2499, plain, ( ~class_Rings_Olinordered__ring__strict(_u4389) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), _u4391)) )).
% 43.37/43.62 cnf(matrix-2500, plain, ( ~class_Rings_Olinordered__ring__strict(_u4389) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), c_Groups_Ozero__class_Ozero(_u4389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4389), _u4390), _u4391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4390), c_Groups_Ozero__class_Ozero(_u4389))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4389), _u4391), c_Groups_Ozero__class_Ozero(_u4389))) )).
% 43.37/43.62 cnf(matrix-2501, plain, ( ~class_Rings_Olinordered__ring__strict(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4393), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 43.37/43.62 cnf(matrix-2502, plain, ( ~class_Rings_Olinordered__ring__strict(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4394)) )).
% 43.37/43.62 cnf(matrix-2503, plain, ( ~class_Rings_Olinordered__ring__strict(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4394), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4393), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 43.37/43.62 cnf(matrix-2504, plain, ( ~class_Rings_Olinordered__ring__strict(_u4392) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4394), c_Groups_Ozero__class_Ozero(_u4392))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4394)) )).
% 43.37/43.62 cnf(matrix-2505, plain, ( ~class_Rings_Olinordered__ring__strict(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4393)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4394), c_Groups_Ozero__class_Ozero(_u4392))) )).
% 43.37/43.62 cnf(matrix-2506, plain, ( ~class_Rings_Olinordered__ring__strict(_u4392) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4392), _u4393), _u4394)), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), _u4393), c_Groups_Ozero__class_Ozero(_u4392))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4392), c_Groups_Ozero__class_Ozero(_u4392)), _u4394)) )).
% 43.37/43.62 cnf(matrix-2507, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4395) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4395), c_Groups_Ozero__class_Ozero(_u4395)), _u4396)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4395), c_Groups_Ozero__class_Ozero(_u4395)), _u4397)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4395), c_Groups_Ozero__class_Ozero(_u4395)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4395), _u4396), _u4397))) )).
% 43.37/43.62 cnf(matrix-2508, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4398) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4398), c_Groups_Ozero__class_Ozero(_u4398)), _u4399)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4398), _u4400), c_Groups_Ozero__class_Ozero(_u4398))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4398), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4398), _u4399), _u4400)), c_Groups_Ozero__class_Ozero(_u4398))) )).
% 43.37/43.62 cnf(matrix-2509, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4401) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4401), c_Groups_Ozero__class_Ozero(_u4401)), _u4402)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4401), _u4403), c_Groups_Ozero__class_Ozero(_u4401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4401), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4401), _u4403), _u4402)), c_Groups_Ozero__class_Ozero(_u4401))) )).
% 43.37/43.62 cnf(matrix-2510, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4404) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4404), _u4405), c_Groups_Ozero__class_Ozero(_u4404))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4404), c_Groups_Ozero__class_Ozero(_u4404)), _u4406)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4404), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4404), _u4405), _u4406)), c_Groups_Ozero__class_Ozero(_u4404))) )).
% 43.37/43.62 cnf(matrix-2511, plain, ( ~class_Rings_Oordered__ring(_u4407) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4407), _u4408), c_Groups_Ozero__class_Ozero(_u4407))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4407), _u4409), c_Groups_Ozero__class_Ozero(_u4407))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4407), c_Groups_Ozero__class_Ozero(_u4407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4407), _u4408), _u4409))) )).
% 43.37/43.62 cnf(matrix-2512, plain, ( ~class_Rings_Oordered__semiring(_u4410) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4410), _u4411), _u4412)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4410), c_Groups_Ozero__class_Ozero(_u4410)), _u4413)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4410), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4410), _u4411), _u4413)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4410), _u4412), _u4413))) )).
% 43.37/43.62 cnf(matrix-2513, plain, ( ~class_Rings_Oordered__semiring(_u4414) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), _u4415), _u4416)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), c_Groups_Ozero__class_Ozero(_u4414)), _u4417)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4414), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4414), _u4417), _u4415)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4414), _u4417), _u4416))) )).
% 43.37/43.62 cnf(matrix-2514, plain, ( ~class_Rings_Oordered__comm__semiring(_u4418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), _u4419), _u4420)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), c_Groups_Ozero__class_Ozero(_u4418)), _u4421)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4418), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4418), _u4421), _u4419)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4418), _u4421), _u4420))) )).
% 43.37/43.62 cnf(matrix-2515, plain, ( ~class_Rings_Oordered__ring(_u4422) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4422), _u4423), _u4424)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4422), _u4425), c_Groups_Ozero__class_Ozero(_u4422))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4422), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4422), _u4424), _u4425)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4422), _u4423), _u4425))) )).
% 43.37/43.62 cnf(matrix-2516, plain, ( ~class_Rings_Oordered__ring(_u4426) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4426), _u4427), _u4428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4426), _u4429), c_Groups_Ozero__class_Ozero(_u4426))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4426), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4426), _u4429), _u4428)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4426), _u4429), _u4427))) )).
% 43.37/43.62 cnf(matrix-2517, plain, ( ~class_Rings_Oordered__semiring(_u4430) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), _u4431), _u4432)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), _u4433), _u4434)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), c_Groups_Ozero__class_Ozero(_u4430)), _u4431)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), c_Groups_Ozero__class_Ozero(_u4430)), _u4433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4430), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4430), _u4431), _u4433)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4430), _u4432), _u4434))) )).
% 43.37/43.62 cnf(matrix-2518, plain, ( ~class_Rings_Oordered__semiring(_u4435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4436), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), _u4438), _u4439)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4437)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), c_Groups_Ozero__class_Ozero(_u4435)), _u4438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4435), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), _u4436), _u4438)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4435), _u4437), _u4439))) )).
% 43.37/43.62 cnf(matrix-2519, plain, ( ~class_Rings_Oordered__ring(_u4440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), c_Groups_Ozero__class_Ozero(_u4440)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4440), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), c_Groups_Ozero__class_Ozero(_u4440)), _u4441)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), c_Groups_Ozero__class_Ozero(_u4440)), _u4442)) )).
% 43.37/43.62 cnf(matrix-2520, plain, ( ~class_Rings_Oordered__ring(_u4440) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), c_Groups_Ozero__class_Ozero(_u4440)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4440), _u4441), _u4442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), _u4441), c_Groups_Ozero__class_Ozero(_u4440))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4440), _u4442), c_Groups_Ozero__class_Ozero(_u4440))) )).
% 43.37/43.62 cnf(matrix-2521, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), _u4445)), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), _u4444)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4445), c_Groups_Ozero__class_Ozero(_u4443))) )).
% 43.37/43.62 cnf(matrix-2522, plain, ( ~class_Rings_Oordered__cancel__semiring(_u4443) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4443), _u4444), _u4445)), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), _u4444), c_Groups_Ozero__class_Ozero(_u4443))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4443), c_Groups_Ozero__class_Ozero(_u4443)), _u4445)) )).
% 43.37/43.62 cnf(matrix-2523, plain, ( ~class_Rings_Olinordered__ring(_u4446) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4446), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4446), _u4447), _u4447)), c_Groups_Ozero__class_Ozero(_u4446))) )).
% 43.37/43.62 cnf(matrix-2524, plain, ( ~class_Rings_Olinordered__ring__strict(_u4448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), c_Groups_Ozero__class_Ozero(_u4448)), _u4450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4450), c_Groups_Ozero__class_Ozero(_u4448))) )).
% 43.37/43.62 cnf(matrix-2525, plain, ( ~class_Rings_Olinordered__ring__strict(_u4448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), c_Groups_Ozero__class_Ozero(_u4448)), _u4450)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4451), _u4449)) )).
% 43.37/43.62 cnf(matrix-2526, plain, ( ~class_Rings_Olinordered__ring__strict(_u4448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4449), _u4451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4450), c_Groups_Ozero__class_Ozero(_u4448))) )).
% 43.37/43.62 cnf(matrix-2527, plain, ( ~class_Rings_Olinordered__ring__strict(_u4448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4449), _u4451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4451), _u4449)) )).
% 43.37/43.62 cnf(matrix-2528, plain, ( ~class_Rings_Olinordered__ring__strict(_u4448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), c_Groups_Ozero__class_Ozero(_u4448)), _u4450)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4449), _u4451)) )).
% 43.37/43.62 cnf(matrix-2529, plain, ( ~class_Rings_Olinordered__ring__strict(_u4448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4449), _u4450)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4448), _u4451), _u4450))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4450), c_Groups_Ozero__class_Ozero(_u4448))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4448), _u4451), _u4449)) )).
% 43.37/43.62 cnf(matrix-2530, plain, ( ~class_Rings_Olinordered__ring__strict(_u4452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), c_Groups_Ozero__class_Ozero(_u4452)), _u4453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4453), c_Groups_Ozero__class_Ozero(_u4452))) )).
% 43.37/43.62 cnf(matrix-2531, plain, ( ~class_Rings_Olinordered__ring__strict(_u4452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), c_Groups_Ozero__class_Ozero(_u4452)), _u4453)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4455), _u4454)) )).
% 43.37/43.62 cnf(matrix-2532, plain, ( ~class_Rings_Olinordered__ring__strict(_u4452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4454), _u4455)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4453), c_Groups_Ozero__class_Ozero(_u4452))) )).
% 43.37/43.62 cnf(matrix-2533, plain, ( ~class_Rings_Olinordered__ring__strict(_u4452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4454), _u4455)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4455), _u4454)) )).
% 43.37/43.62 cnf(matrix-2534, plain, ( ~class_Rings_Olinordered__ring__strict(_u4452) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), c_Groups_Ozero__class_Ozero(_u4452)), _u4453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4454), _u4455)) )).
% 43.37/43.62 cnf(matrix-2535, plain, ( ~class_Rings_Olinordered__ring__strict(_u4452) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4454)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4452), _u4453), _u4455))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4453), c_Groups_Ozero__class_Ozero(_u4452))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4452), _u4455), _u4454)) )).
% 43.37/43.62 cnf(matrix-2536, plain, ( ~class_Rings_Olinordered__ring__strict(_u4456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), c_Groups_Ozero__class_Ozero(_u4456)), _u4457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4456), _u4457), _u4458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4456), _u4457), _u4459))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), _u4458), _u4459)) )).
% 43.37/43.62 cnf(matrix-2537, plain, ( ~class_Rings_Olinordered__ring__strict(_u4456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), c_Groups_Ozero__class_Ozero(_u4456)), _u4457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), _u4458), _u4459)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4456), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4456), _u4457), _u4458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4456), _u4457), _u4459))) )).
% 43.37/43.62 cnf(matrix-2538, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4460), c_Groups_Ozero__class_Ozero(_u4460)), _u4461)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4460), c_Groups_Ozero__class_Ozero(_u4460)), _u4462)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4460), c_Groups_Ozero__class_Ozero(_u4460)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4460), _u4461), _u4462))) )).
% 43.37/43.62 cnf(matrix-2539, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4463), c_Groups_Ozero__class_Ozero(_u4463)), _u4464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4463), _u4465), c_Groups_Ozero__class_Ozero(_u4463))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4463), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4463), _u4464), _u4465)), c_Groups_Ozero__class_Ozero(_u4463))) )).
% 43.37/43.62 cnf(matrix-2540, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), c_Groups_Ozero__class_Ozero(_u4466)), _u4467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), _u4468), c_Groups_Ozero__class_Ozero(_u4466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4466), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4466), _u4468), _u4467)), c_Groups_Ozero__class_Ozero(_u4466))) )).
% 43.37/43.62 cnf(matrix-2541, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4469) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4469), c_Groups_Ozero__class_Ozero(_u4469)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4469), _u4470), _u4471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4469), c_Groups_Ozero__class_Ozero(_u4469)), _u4470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4469), c_Groups_Ozero__class_Ozero(_u4469)), _u4471)) )).
% 43.37/43.62 cnf(matrix-2542, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4472) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4472), c_Groups_Ozero__class_Ozero(_u4472)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4472), _u4473), _u4474))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4472), c_Groups_Ozero__class_Ozero(_u4472)), _u4474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4472), c_Groups_Ozero__class_Ozero(_u4472)), _u4473)) )).
% 43.37/43.62 cnf(matrix-2543, plain, ( ~class_Rings_Olinordered__ring__strict(_u4475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), _u4476), c_Groups_Ozero__class_Ozero(_u4475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4475), _u4476), _u4477)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4475), _u4476), _u4478))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), _u4478), _u4477)) )).
% 43.37/43.62 cnf(matrix-2544, plain, ( ~class_Rings_Olinordered__ring__strict(_u4475) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), _u4476), c_Groups_Ozero__class_Ozero(_u4475))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), _u4478), _u4477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4475), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4475), _u4476), _u4477)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4475), _u4476), _u4478))) )).
% 43.37/43.62 cnf(matrix-2545, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4479) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4479), _u4480), c_Groups_Ozero__class_Ozero(_u4479))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4479), c_Groups_Ozero__class_Ozero(_u4479)), _u4481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4479), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4479), _u4480), _u4481)), c_Groups_Ozero__class_Ozero(_u4479))) )).
% 43.37/43.62 cnf(matrix-2546, plain, ( ~class_Rings_Olinordered__ring__strict(_u4482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4482), _u4483), c_Groups_Ozero__class_Ozero(_u4482))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4482), _u4484), c_Groups_Ozero__class_Ozero(_u4482))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4482), c_Groups_Ozero__class_Ozero(_u4482)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4482), _u4483), _u4484))) )).
% 43.37/43.62 cnf(matrix-2547, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4485) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), _u4486), _u4487)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), c_Groups_Ozero__class_Ozero(_u4485)), _u4488)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4485), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4485), _u4486), _u4488)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4485), _u4487), _u4488))) )).
% 43.37/43.62 cnf(matrix-2548, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4489) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4489), _u4490), _u4491)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4489), c_Groups_Ozero__class_Ozero(_u4489)), _u4492)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4489), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4489), _u4492), _u4490)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4489), _u4492), _u4491))) )).
% 43.37/43.62 cnf(matrix-2549, plain, ( ~class_Rings_Olinordered__comm__semiring__strict(_u4493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4493), _u4494), _u4495)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4493), c_Groups_Ozero__class_Ozero(_u4493)), _u4496)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4493), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4493), _u4496), _u4494)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4493), _u4496), _u4495))) )).
% 43.37/43.62 cnf(matrix-2550, plain, ( ~class_Rings_Olinordered__ring__strict(_u4497) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4497), _u4498), _u4499)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4497), _u4500), c_Groups_Ozero__class_Ozero(_u4497))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4497), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4497), _u4499), _u4500)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4497), _u4498), _u4500))) )).
% 43.37/43.62 cnf(matrix-2551, plain, ( ~class_Rings_Olinordered__ring__strict(_u4501) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4501), _u4502), _u4503)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4501), _u4504), c_Groups_Ozero__class_Ozero(_u4501))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4501), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4501), _u4504), _u4503)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4501), _u4504), _u4502))) )).
% 43.37/43.62 cnf(matrix-2552, plain, ( ~class_Rings_Olinordered__ring__strict(_u4505) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4506), _u4506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4507), _u4507)) != c_Groups_Ozero__class_Ozero(_u4505)) | ( _u4506 = c_Groups_Ozero__class_Ozero(_u4505)) )).
% 43.37/43.62 cnf(matrix-2553, plain, ( ~class_Rings_Olinordered__ring__strict(_u4505) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4506), _u4506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4507), _u4507)) != c_Groups_Ozero__class_Ozero(_u4505)) | ( _u4507 = c_Groups_Ozero__class_Ozero(_u4505)) )).
% 43.37/43.62 cnf(matrix-2554, plain, ( ~class_Rings_Olinordered__ring__strict(_u4505) | ( _u4506 != c_Groups_Ozero__class_Ozero(_u4505)) | ( _u4507 != c_Groups_Ozero__class_Ozero(_u4505)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4505), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4506), _u4506)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4505), _u4507), _u4507)) = c_Groups_Ozero__class_Ozero(_u4505)) )).
% 43.37/43.62 cnf(matrix-2555, plain, ( ~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(_u4508) | ( _u4509 = c_Groups_Ozero__class_Ozero(_u4508)) | ( _u4510 != _u4511) | ( _u4512 = _u4513) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4508), _u4510), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4508), _u4509), _u4512)) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4508), _u4511), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4508), _u4509), _u4513))) )).
% 43.37/43.62 cnf(matrix-2556, plain, ( ( hAPP(_u4514, 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), _u4514), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4515)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u4514), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4515))) )).
% 43.37/43.62 cnf(matrix-2557, plain, ( ~class_Rings_Olinordered__semidom(_u4516) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), _u4517)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), _u4518)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4516), c_Groups_Oone__class_Oone(_u4516)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4516), _u4517), _u4518))) )).
% 43.37/43.62 cnf(matrix-2558, plain, ( ~class_Rings_Oring(_u4519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4520), _u4521)), _u4522) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4523), _u4521)), _u4524)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4519), _u4520), _u4523)), _u4521)), _u4522) = _u4524) )).
% 43.37/43.62 cnf(matrix-2559, plain, ( ~class_Rings_Oring(_u4519) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4519), _u4520), _u4523)), _u4521)), _u4522) != _u4524) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4520), _u4521)), _u4522) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4519), _u4523), _u4521)), _u4524)) )).
% 43.37/43.62 cnf(matrix-2560, plain, ( ~class_Rings_Oring(_u4525) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), _u4526), _u4527)), _u4528) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), _u4529), _u4527)), _u4530)) | ( _u4528 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4525), _u4529), _u4526)), _u4527)), _u4530)) )).
% 43.37/43.62 cnf(matrix-2561, plain, ( ~class_Rings_Oring(_u4525) | ( _u4528 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4525), _u4529), _u4526)), _u4527)), _u4530)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), _u4526), _u4527)), _u4528) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4525), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4525), _u4529), _u4527)), _u4530)) )).
% 43.37/43.62 cnf(matrix-2562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4531), hAPP(c_Nat_OSuc, _u4532))) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4531, hAPP(c_Nat_OSuc, _u4532)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4532)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4531, _u4532))) )).
% 43.37/43.62 cnf(matrix-2563, plain, ( ~class_Rings_Ocomm__semiring__1(_u4533) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4533), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4533), _u4534), _u4535)), _u4535) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4533), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4533), _u4534), c_Groups_Oone__class_Oone(_u4533))), _u4535)) )).
% 43.37/43.62 cnf(matrix-2564, plain, ( ~class_Rings_Ocomm__semiring__1(_u4536) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4536), _u4537), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4536), _u4538), _u4537)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4536), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4536), _u4538), c_Groups_Oone__class_Oone(_u4536))), _u4537)) )).
% 43.37/43.62 cnf(matrix-2565, plain, ( ~class_Rings_Ocomm__semiring__1(_u4539) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4539), _u4540), _u4540) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4539), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4539), c_Groups_Oone__class_Oone(_u4539)), c_Groups_Oone__class_Oone(_u4539))), _u4540)) )).
% 43.37/43.62 cnf(matrix-2566, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4541, _u4542)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4542)), _u4541)) )).
% 43.37/43.62 cnf(matrix-2567, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4545), _u4547) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4545 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2568, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4545), _u4547) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4547 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2569, plain, ( ( _u4546 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u4548 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4546), _u4548) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.62 cnf(matrix-2570, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4549), _u4550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4551)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4551), _u4549)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4551), _u4550))) )).
% 43.37/43.62 cnf(matrix-2571, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4552), _u4553)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4554)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4552), _u4554)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4553), _u4554))) )).
% 43.37/43.62 cnf(matrix-2572, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4558), _u4560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4562), _u4560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4560)) )).
% 43.37/43.62 cnf(matrix-2573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4558), _u4560)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4562), _u4560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4558), _u4562)) )).
% 43.37/43.62 cnf(matrix-2574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4559), _u4563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4559), _u4561)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4563), _u4561))) )).
% 43.37/43.62 cnf(matrix-2575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4567), _u4569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4567), _u4571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4567)) )).
% 43.37/43.62 cnf(matrix-2576, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4567), _u4569)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4567), _u4571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4569), _u4571)) )).
% 43.37/43.62 cnf(matrix-2577, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4568)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4570), _u4572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4568), _u4570)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4568), _u4572))) )).
% 43.37/43.62 cnf(matrix-2578, 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), _u4575), _u4577))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4575)) )).
% 43.37/43.62 cnf(matrix-2579, 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), _u4575), _u4577))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4577)) )).
% 43.37/43.62 cnf(matrix-2580, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4576)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4578)) | 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), _u4576), _u4578))) )).
% 43.37/43.62 cnf(matrix-2581, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4584), _u4586)) | ~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, _u4582)), _u4584)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4582)), _u4586))) )).
% 43.37/43.62 cnf(matrix-2582, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4585), _u4587)) | 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, _u4583)), _u4585)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4583)), _u4587))) )).
% 43.37/43.62 cnf(matrix-2583, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4588), hAPP(c_Nat_OSuc, _u4589)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4588), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4588), _u4589))) )).
% 43.37/43.62 cnf(matrix-2584, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4590)), _u4591) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4591), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4590), _u4591))) )).
% 43.37/43.62 cnf(matrix-2585, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4597), _u4599)) | ~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, _u4595)), _u4597)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4595)), _u4599))) )).
% 43.37/43.62 cnf(matrix-2586, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4598), _u4600)) | 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, _u4596)), _u4598)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4596)), _u4600))) )).
% 43.37/43.62 cnf(matrix-2587, plain, ( ( _u4601 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4601), _u4602)) | ( _u4602 = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( _u4601 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2588, plain, ( ~class_Rings_Oring__1(_u4603) | ~hBOOL(hAPP(hAPP(c_member(_u4603), _u4604), c_Int_Oring__1__class_OInts(_u4603))) | ~hBOOL(hAPP(hAPP(c_member(_u4603), _u4605), c_Int_Oring__1__class_OInts(_u4603))) | hBOOL(hAPP(hAPP(c_member(_u4603), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4603), _u4604), _u4605)), c_Int_Oring__1__class_OInts(_u4603))) )).
% 43.37/43.62 cnf(matrix-2589, plain, ( ~class_Orderings_Oorder(_u4606) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4606, _u4607, _u4608) != c_Orderings_Obot__class_Obot(tc_fun(_u4606, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4606), _u4607), _u4608)) )).
% 43.37/43.62 cnf(matrix-2590, plain, ( ~class_Orderings_Oorder(_u4606) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4606), _u4607), _u4608)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4606, _u4607, _u4608) = c_Orderings_Obot__class_Obot(tc_fun(_u4606, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-2591, plain, ( ~class_Orderings_Oorder(_u4609) | ( c_Orderings_Obot__class_Obot(tc_fun(_u4609, tc_HOL_Obool)) != c_SetInterval_Oord__class_OatLeastAtMost(_u4609, _u4610, _u4611)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), _u4610), _u4611)) )).
% 43.37/43.62 cnf(matrix-2592, plain, ( ~class_Orderings_Oorder(_u4609) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4609), _u4610), _u4611)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u4609, tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(_u4609, _u4610, _u4611)) )).
% 43.37/43.62 cnf(matrix-2593, plain, ( ~class_Orderings_Oorder(_u4612) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4612), _u4613), _u4614)) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4612, _u4614, _u4613) = c_Orderings_Obot__class_Obot(tc_fun(_u4612, tc_HOL_Obool))) )).
% 43.37/43.62 cnf(matrix-2594, plain, ( ~class_Orderings_Oorder(_u4615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4616, _u4617)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4618, _u4619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4616), _u4617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4618), _u4616)) )).
% 43.37/43.62 cnf(matrix-2595, plain, ( ~class_Orderings_Oorder(_u4615) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4616, _u4617)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4618, _u4619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4616), _u4617)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4617), _u4619)) )).
% 43.37/43.62 cnf(matrix-2596, plain, ( ~class_Orderings_Oorder(_u4615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4616, _u4617)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4618, _u4619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4616), _u4617)) )).
% 43.37/43.62 cnf(matrix-2597, plain, ( ~class_Orderings_Oorder(_u4615) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u4615, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4616, _u4617)), c_SetInterval_Oord__class_OatLeastAtMost(_u4615, _u4618, _u4619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4618), _u4616)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4615), _u4617), _u4619)) )).
% 43.37/43.62 cnf(matrix-2598, plain, ( ~class_Orderings_Oorder(_u4620) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4620, _u4621, _u4621) = hAPP(hAPP(c_Set_Oinsert(_u4620), _u4621), c_Orderings_Obot__class_Obot(tc_fun(_u4620, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-2599, plain, ( ~class_Orderings_Oorder(_u4622) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4622, _u4623, _u4624) != hAPP(hAPP(c_Set_Oinsert(_u4622), _u4625), c_Orderings_Obot__class_Obot(tc_fun(_u4622, tc_HOL_Obool)))) | ( _u4623 = _u4624) )).
% 43.37/43.62 cnf(matrix-2600, plain, ( ~class_Orderings_Oorder(_u4622) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4622, _u4623, _u4624) != hAPP(hAPP(c_Set_Oinsert(_u4622), _u4625), c_Orderings_Obot__class_Obot(tc_fun(_u4622, tc_HOL_Obool)))) | ( _u4624 = _u4625) )).
% 43.37/43.62 cnf(matrix-2601, plain, ( ~class_Orderings_Oorder(_u4622) | ( _u4623 != _u4624) | ( _u4624 != _u4625) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4622, _u4623, _u4624) = hAPP(hAPP(c_Set_Oinsert(_u4622), _u4625), c_Orderings_Obot__class_Obot(tc_fun(_u4622, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-2602, plain, ( ~class_Orderings_Oorder(_u4626) | ( _u4627 != _u4628) | ( c_SetInterval_Oord__class_OatLeastAtMost(_u4626, _u4627, _u4628) = hAPP(hAPP(c_Set_Oinsert(_u4626), _u4627), c_Orderings_Obot__class_Obot(tc_fun(_u4626, tc_HOL_Obool)))) )).
% 43.37/43.62 cnf(matrix-2603, plain, ( ~class_Rings_Olinordered__ring__strict(_u4629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4629), c_Groups_Ozero__class_Ozero(_u4629)), _u4630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4629), _u4630), _u4631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4629), _u4630), _u4632))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), _u4631), _u4632)) )).
% 43.37/43.62 cnf(matrix-2604, plain, ( ~class_Rings_Olinordered__ring__strict(_u4629) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4629), c_Groups_Ozero__class_Ozero(_u4629)), _u4630)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), _u4631), _u4632)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4629), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4629), _u4630), _u4631)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4629), _u4630), _u4632))) )).
% 43.37/43.62 cnf(matrix-2605, plain, ( ~class_Rings_Olinordered__ring__strict(_u4633) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4633), _u4634), c_Groups_Ozero__class_Ozero(_u4633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4633), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4633), _u4634), _u4635)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4633), _u4634), _u4636))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4633), _u4636), _u4635)) )).
% 43.37/43.62 cnf(matrix-2606, plain, ( ~class_Rings_Olinordered__ring__strict(_u4633) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4633), _u4634), c_Groups_Ozero__class_Ozero(_u4633))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4633), _u4636), _u4635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4633), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4633), _u4634), _u4635)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4633), _u4634), _u4636))) )).
% 43.37/43.62 cnf(matrix-2607, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4637) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), _u4638), _u4639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), _u4640), _u4641)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), _u4639)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4637), c_Groups_Ozero__class_Ozero(_u4637)), _u4640)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4637), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4637), _u4638), _u4640)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4637), _u4639), _u4641))) )).
% 43.37/43.62 cnf(matrix-2608, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4642), _u4643), _u4644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4642), _u4645), _u4646)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4642), c_Groups_Ozero__class_Ozero(_u4642)), _u4643)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4642), c_Groups_Ozero__class_Ozero(_u4642)), _u4645)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4642), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4642), _u4643), _u4645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4642), _u4644), _u4646))) )).
% 43.37/43.62 cnf(matrix-2609, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4647) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4647), _u4648), _u4649)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4647), _u4650), _u4651)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4647), c_Groups_Ozero__class_Ozero(_u4647)), _u4648)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4647), c_Groups_Ozero__class_Ozero(_u4647)), _u4650)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4647), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4647), _u4648), _u4650)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4647), _u4649), _u4651))) )).
% 43.37/43.62 cnf(matrix-2610, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4652) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4652), _u4653), _u4654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4652), _u4655), _u4656)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4652), c_Groups_Ozero__class_Ozero(_u4652)), _u4653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4652), c_Groups_Ozero__class_Ozero(_u4652)), _u4655)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4652), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4652), _u4653), _u4655)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4652), _u4654), _u4656))) )).
% 43.37/43.62 cnf(matrix-2611, plain, ( ~class_Rings_Olinordered__semiring(_u4657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4658), _u4659)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4657), _u4660), _u4659))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4657), c_Groups_Ozero__class_Ozero(_u4657)), _u4659)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4657), _u4658), _u4660)) )).
% 43.37/43.62 cnf(matrix-2612, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4661), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4662), _u4663)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4661), _u4664), _u4663))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4661), c_Groups_Ozero__class_Ozero(_u4661)), _u4663)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4661), _u4662), _u4664)) )).
% 43.37/43.62 cnf(matrix-2613, plain, ( ~class_Rings_Olinordered__semiring(_u4665) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4665), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), _u4666), _u4667)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4665), _u4666), _u4668))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4665), c_Groups_Ozero__class_Ozero(_u4665)), _u4666)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4665), _u4667), _u4668)) )).
% 43.37/43.62 cnf(matrix-2614, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4669) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4669), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4669), _u4670), _u4671)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4669), _u4670), _u4672))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4669), c_Groups_Ozero__class_Ozero(_u4669)), _u4670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4669), _u4671), _u4672)) )).
% 43.37/43.62 cnf(matrix-2615, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), _u4674), _u4675)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4673), _u4676), _u4675))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4673), c_Groups_Ozero__class_Ozero(_u4673)), _u4675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4673), _u4674), _u4676)) )).
% 43.37/43.62 cnf(matrix-2616, plain, ( ~class_Rings_Olinordered__semiring__strict(_u4677) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4677), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), _u4678), _u4679)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4677), _u4678), _u4680))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4677), c_Groups_Ozero__class_Ozero(_u4677)), _u4678)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4677), _u4679), _u4680)) )).
% 43.37/43.62 cnf(matrix-2617, plain, ( ~class_Rings_Olinordered__ring__strict(_u4681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4682), _u4682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4683), _u4683))), c_Groups_Ozero__class_Ozero(_u4681))) | ( _u4682 = c_Groups_Ozero__class_Ozero(_u4681)) )).
% 43.37/43.62 cnf(matrix-2618, plain, ( ~class_Rings_Olinordered__ring__strict(_u4681) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4682), _u4682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4683), _u4683))), c_Groups_Ozero__class_Ozero(_u4681))) | ( _u4683 = c_Groups_Ozero__class_Ozero(_u4681)) )).
% 43.37/43.62 cnf(matrix-2619, plain, ( ~class_Rings_Olinordered__ring__strict(_u4681) | ( _u4682 != c_Groups_Ozero__class_Ozero(_u4681)) | ( _u4683 != c_Groups_Ozero__class_Ozero(_u4681)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4681), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4681), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4682), _u4682)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4681), _u4683), _u4683))), c_Groups_Ozero__class_Ozero(_u4681))) )).
% 43.37/43.62 cnf(matrix-2620, plain, ( ~class_Rings_Olinordered__ring(_u4684) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4684), c_Groups_Ozero__class_Ozero(_u4684)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4684), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4685), _u4685)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4684), _u4686), _u4686)))) )).
% 43.37/43.62 cnf(matrix-2621, plain, ( ~class_Rings_Olinordered__ring__strict(_u4687) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4687), c_Groups_Ozero__class_Ozero(_u4687)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4688), _u4688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4689), _u4689)))) | ( _u4688 != c_Groups_Ozero__class_Ozero(_u4687)) | ( _u4689 != c_Groups_Ozero__class_Ozero(_u4687)) )).
% 43.37/43.62 cnf(matrix-2622, plain, ( ~class_Rings_Olinordered__ring__strict(_u4687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4687), c_Groups_Ozero__class_Ozero(_u4687)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4688), _u4688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4689), _u4689)))) | ( _u4688 = c_Groups_Ozero__class_Ozero(_u4687)) )).
% 43.37/43.62 cnf(matrix-2623, plain, ( ~class_Rings_Olinordered__ring__strict(_u4687) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4687), c_Groups_Ozero__class_Ozero(_u4687)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4687), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4688), _u4688)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4687), _u4689), _u4689)))) | ( _u4689 = c_Groups_Ozero__class_Ozero(_u4687)) )).
% 43.37/43.62 cnf(matrix-2624, plain, ( ~class_Rings_Olinordered__ring(_u4690) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4690), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4690), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), _u4691), _u4691)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4690), _u4692), _u4692))), c_Groups_Ozero__class_Ozero(_u4690))) )).
% 43.37/43.62 cnf(matrix-2625, plain, ( ~class_Rings_Olinordered__idom(_u4693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4693), c_Groups_Ozero__class_Ozero(_u4693)), _u4694)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4693), c_Groups_Ozero__class_Ozero(_u4693)), _u4695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4693), _u4695), c_Groups_Oone__class_Oone(_u4693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4693), _u4694), _u4695)), _u4694)) )).
% 43.37/43.62 cnf(matrix-2626, plain, ( ~class_Rings_Olinordered__idom(_u4696) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4696), c_Groups_Ozero__class_Ozero(_u4696)), _u4697)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4696), c_Groups_Ozero__class_Ozero(_u4696)), _u4698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4696), _u4698), c_Groups_Oone__class_Oone(_u4696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4696), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4696), _u4698), _u4697)), _u4697)) )).
% 43.37/43.62 cnf(matrix-2627, plain, ( ~class_Rings_Oordered__ring(_u4699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4699), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), _u4700), _u4701)), _u4702)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), _u4703), _u4701)), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4699), _u4702), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4699), _u4703), _u4700)), _u4701)), _u4704))) )).
% 43.37/43.62 cnf(matrix-2628, plain, ( ~class_Rings_Oordered__ring(_u4699) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4699), _u4702), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4699), _u4703), _u4700)), _u4701)), _u4704))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4699), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), _u4700), _u4701)), _u4702)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4699), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4699), _u4703), _u4701)), _u4704))) )).
% 43.37/43.62 cnf(matrix-2629, plain, ( ~class_Rings_Oordered__ring(_u4705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), _u4706), _u4707)), _u4708)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), _u4709), _u4707)), _u4710))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4705), _u4706), _u4709)), _u4707)), _u4708)), _u4710)) )).
% 43.37/43.62 cnf(matrix-2630, plain, ( ~class_Rings_Oordered__ring(_u4705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4705), _u4706), _u4709)), _u4707)), _u4708)), _u4710)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4705), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), _u4706), _u4707)), _u4708)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4705), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4705), _u4709), _u4707)), _u4710))) )).
% 43.37/43.62 cnf(matrix-2631, plain, ( ~class_Rings_Oordered__ring(_u4711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4711), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), _u4712), _u4713)), _u4714)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), _u4715), _u4713)), _u4716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4711), _u4714), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4711), _u4715), _u4712)), _u4713)), _u4716))) )).
% 43.37/43.62 cnf(matrix-2632, plain, ( ~class_Rings_Oordered__ring(_u4711) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4711), _u4714), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4711), _u4715), _u4712)), _u4713)), _u4716))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4711), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), _u4712), _u4713)), _u4714)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4711), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4711), _u4715), _u4713)), _u4716))) )).
% 43.37/43.62 cnf(matrix-2633, plain, ( ~class_Rings_Oordered__ring(_u4717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), _u4718), _u4719)), _u4720)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), _u4721), _u4719)), _u4722))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4717), _u4718), _u4721)), _u4719)), _u4720)), _u4722)) )).
% 43.37/43.62 cnf(matrix-2634, plain, ( ~class_Rings_Oordered__ring(_u4717) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u4717), _u4718), _u4721)), _u4719)), _u4720)), _u4722)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4717), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), _u4718), _u4719)), _u4720)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4717), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4717), _u4721), _u4719)), _u4722))) )).
% 43.37/43.62 cnf(matrix-2635, plain, ( ~class_Groups_Ocomm__monoid__add(_u4723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4724), _u4725)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4723), _u4726), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4724, _u4725)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4723), hAPP(_u4726, _u4724)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4723), _u4726), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u4724), _u4725)))) )).
% 43.37/43.62 cnf(matrix-2636, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4727)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4728)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4727), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4728), _u4727))) )).
% 43.37/43.62 cnf(matrix-2637, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4729), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4729), _u4730))) )).
% 43.37/43.62 cnf(matrix-2638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4732)) | 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), _u4732), _u4731))) )).
% 43.37/43.62 cnf(matrix-2639, 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), _u4735), _u4737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4735)) )).
% 43.37/43.62 cnf(matrix-2640, 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), _u4735), _u4737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4737)) )).
% 43.37/43.62 cnf(matrix-2641, 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))), _u4736)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u4738)) | 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), _u4736), _u4738))) )).
% 43.37/43.62 cnf(matrix-2642, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4742), _u4744)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4746), _u4744))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4742), _u4746)) )).
% 43.37/43.62 cnf(matrix-2643, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4743), _u4745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4747), _u4745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4745)) )).
% 43.37/43.62 cnf(matrix-2644, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4743), _u4745)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4747), _u4745))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4743), _u4747)) )).
% 43.37/43.62 cnf(matrix-2645, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4751), _u4753)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4751), _u4755))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4753), _u4755)) )).
% 43.37/43.62 cnf(matrix-2646, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4752), _u4754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4752), _u4756))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4752)) )).
% 43.37/43.62 cnf(matrix-2647, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4752), _u4754)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4752), _u4756))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4754), _u4756)) )).
% 43.37/43.62 cnf(matrix-2648, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), hAPP(c_Com_Ocom_OBODY, _u4757)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.62 cnf(matrix-2649, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4758) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4759), _u4760)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4758, _u4759, c_Groups_Otimes__class_Otimes(_u4758)), hAPP(hAPP(c_COMBS(_u4759, _u4758, _u4758), hAPP(hAPP(c_COMBB(_u4758, tc_fun(_u4758, _u4758), _u4759), c_Groups_Otimes__class_Otimes(_u4758)), _u4761)), _u4762)), c_Groups_Oone__class_Oone(_u4758)), _u4760) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4758), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4758, _u4759, c_Groups_Otimes__class_Otimes(_u4758)), _u4761), c_Groups_Oone__class_Oone(_u4758)), _u4760)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4758, _u4759, c_Groups_Otimes__class_Otimes(_u4758)), _u4762), c_Groups_Oone__class_Oone(_u4758)), _u4760))) )).
% 43.37/43.63 cnf(matrix-2650, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-2651, plain, ( ~class_Orderings_Oorder(_u4763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4764), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4764)) )).
% 43.37/43.63 cnf(matrix-2652, plain, ( ~class_Orderings_Oorder(_u4763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4764), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4765), _u4767)) )).
% 43.37/43.63 cnf(matrix-2653, plain, ( ~class_Orderings_Oorder(_u4763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4764), _u4765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4763), _u4766), _u4764)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4763), _u4765), _u4767)) )).
% 43.37/43.63 cnf(matrix-2654, plain, ( ~class_Orderings_Oorder(_u4763) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4767)) )).
% 43.37/43.63 cnf(matrix-2655, plain, ( ~class_Orderings_Oorder(_u4763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4767)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4764), _u4765)) )).
% 43.37/43.63 cnf(matrix-2656, plain, ( ~class_Orderings_Oorder(_u4763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4765), _u4767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4763), _u4766), _u4764)) )).
% 43.37/43.63 cnf(matrix-2657, plain, ( ~class_Orderings_Oorder(_u4763) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u4763, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4764, _u4765)), c_SetInterval_Oord__class_OatLeastAtMost(_u4763, _u4766, _u4767))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4766), _u4764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4763), _u4765), _u4767)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4763), _u4765), _u4767)) )).
% 43.37/43.63 cnf(matrix-2658, plain, ( ~class_Groups_Ocomm__monoid__add(_u4768) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4769)), _u4770)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4768), _u4771), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4770, hAPP(c_Nat_OSuc, _u4769))) = c_Groups_Ozero__class_Ozero(_u4768)) )).
% 43.37/43.63 cnf(matrix-2659, plain, ( ~class_Groups_Ocomm__monoid__add(_u4768) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u4769)), _u4770)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4768), _u4771), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4770, hAPP(c_Nat_OSuc, _u4769))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4768), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4768), _u4771), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4770, _u4769))), hAPP(_u4771, hAPP(c_Nat_OSuc, _u4769)))) )).
% 43.37/43.63 cnf(matrix-2660, plain, ( ~class_Rings_Olinordered__semiring__1(_u4772) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), _u4773), _u4774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), _u4775), _u4774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), c_Groups_Ozero__class_Ozero(_u4772)), _u4776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), c_Groups_Ozero__class_Ozero(_u4772)), _u4777)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4772), _u4776), _u4777) != c_Groups_Oone__class_Oone(_u4772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4772), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4772), _u4776), _u4773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4772), _u4777), _u4775))), _u4774)) )).
% 43.37/43.63 cnf(matrix-2661, plain, ( ~class_Groups_Ocomm__monoid__add(_u4778) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4779), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4780), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4778), _u4781), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4779, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4780), _u4782))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4778), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4778), _u4781), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4779, _u4780))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4778), _u4781), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4780), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4780), _u4782))))) )).
% 43.37/43.63 cnf(matrix-2662, plain, ( ~class_Groups_Oab__semigroup__mult(_u4783) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4784), _u4785)) | hBOOL(hAPP(hAPP(c_member(_u4784), _u4786), _u4785)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4783, _u4784, c_Groups_Otimes__class_Otimes(_u4783)), _u4787), _u4788), hAPP(hAPP(c_Set_Oinsert(_u4784), _u4786), _u4785)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4783), hAPP(_u4787, _u4786)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4783, _u4784, c_Groups_Otimes__class_Otimes(_u4783)), _u4787), _u4788), _u4785))) )).
% 43.37/43.63 cnf(matrix-2663, plain, ( ( _u4791 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4791), _u4793) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-2664, plain, ( ( _u4792 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4792), _u4794) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4794), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4792), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4794))) )).
% 43.37/43.63 cnf(matrix-2665, plain, ( ~class_Rings_Olinordered__semiring__1__strict(_u4795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4795), _u4796), _u4797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4795), _u4798), _u4797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4795), c_Groups_Ozero__class_Ozero(_u4795)), _u4799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4795), c_Groups_Ozero__class_Ozero(_u4795)), _u4800)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4795), _u4799), _u4800) != c_Groups_Oone__class_Oone(_u4795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4795), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4795), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4795), _u4799), _u4796)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4795), _u4800), _u4798))), _u4797)) )).
% 43.37/43.63 cnf(matrix-2666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4801), _u4802)) | ~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), _u4802), _u4803)), _u4804)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4801), _u4803)), _u4805))) | 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), _u4802), _u4801)), _u4803)), _u4804)), _u4805)) )).
% 43.37/43.63 cnf(matrix-2667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4801), _u4802)) | ~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), _u4802), _u4801)), _u4803)), _u4804)), _u4805)) | 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), _u4802), _u4803)), _u4804)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4801), _u4803)), _u4805))) )).
% 43.37/43.63 cnf(matrix-2668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4806), _u4807)) | ~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), _u4806), _u4808)), _u4809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4807), _u4808)), _u4810))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4809), 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), _u4807), _u4806)), _u4808)), _u4810))) )).
% 43.37/43.63 cnf(matrix-2669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4806), _u4807)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4809), 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), _u4807), _u4806)), _u4808)), _u4810))) | 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), _u4806), _u4808)), _u4809)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4807), _u4808)), _u4810))) )).
% 43.37/43.63 cnf(matrix-2670, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4811), _u4817)) | ~hBOOL(hAPP(_u4819, _u4811)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem97(_u4819, _u4817)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4817))) )).
% 43.37/43.63 cnf(matrix-2671, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4811), _u4817)) | ~hBOOL(hAPP(_u4819, _u4811)) | hBOOL(hAPP(_u4819, skolem97(_u4819, _u4817))) )).
% 43.37/43.63 cnf(matrix-2672, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4813), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4818))) | ~hBOOL(hAPP(_u4820, _u4813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem98(_u4820, _u4818)), _u4818)) )).
% 43.37/43.63 cnf(matrix-2673, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4813), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4818))) | ~hBOOL(hAPP(_u4820, _u4813)) | hBOOL(hAPP(_u4820, skolem98(_u4820, _u4818))) )).
% 43.37/43.63 cnf(matrix-2674, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4822), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4827))) | hBOOL(hAPP(_u4829, _u4822)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem99(_u4829, _u4827)), _u4827)) )).
% 43.37/43.63 cnf(matrix-2675, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u4822), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4827))) | hBOOL(hAPP(_u4829, _u4822)) | ~hBOOL(hAPP(_u4829, skolem99(_u4829, _u4827))) )).
% 43.37/43.63 cnf(matrix-2676, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4824), _u4828)) | hBOOL(hAPP(_u4830, _u4824)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem100(_u4830, _u4828)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u4828))) )).
% 43.37/43.63 cnf(matrix-2677, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4824), _u4828)) | hBOOL(hAPP(_u4830, _u4824)) | ~hBOOL(hAPP(_u4830, skolem100(_u4830, _u4828))) )).
% 43.37/43.63 cnf(matrix-2678, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4831), _u4832)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4831), _u4833)), _u4834) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4832), _u4833)), _u4835)) | ( _u4834 = 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), _u4832), _u4831)), _u4833)), _u4835)) )).
% 43.37/43.63 cnf(matrix-2679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4831), _u4832)) | ( _u4834 != 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), _u4832), _u4831)), _u4833)), _u4835)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4831), _u4833)), _u4834) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4832), _u4833)), _u4835)) )).
% 43.37/43.63 cnf(matrix-2680, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4836), _u4837)) | ( 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), _u4836), _u4838)), _u4839)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4837), _u4838)), _u4840)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4839), 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), _u4837), _u4836)), _u4838)), _u4840))) )).
% 43.37/43.63 cnf(matrix-2681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4841), _u4842)) | ~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), _u4841), _u4843)), _u4844)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4842), _u4843)), _u4845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4844), 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), _u4842), _u4841)), _u4843)), _u4845))) )).
% 43.37/43.63 cnf(matrix-2682, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4841), _u4842)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4844), 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), _u4842), _u4841)), _u4843)), _u4845))) | 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), _u4841), _u4843)), _u4844)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4842), _u4843)), _u4845))) )).
% 43.37/43.63 cnf(matrix-2683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4846), _u4847)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4847), _u4848)), _u4849) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4846), _u4848)), _u4850)) | ( 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), _u4847), _u4846)), _u4848)), _u4849) = _u4850) )).
% 43.37/43.63 cnf(matrix-2684, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4846), _u4847)) | ( 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), _u4847), _u4846)), _u4848)), _u4849) != _u4850) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4847), _u4848)), _u4849) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4846), _u4848)), _u4850)) )).
% 43.37/43.63 cnf(matrix-2685, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4851), _u4852)), _u4853) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4851), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4852), _u4853))) )).
% 43.37/43.63 cnf(matrix-2686, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4854), _u4855) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4855), _u4854)) )).
% 43.37/43.63 cnf(matrix-2687, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4859), _u4861) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4859), _u4863)) | ( _u4859 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u4861 = _u4863) )).
% 43.37/43.63 cnf(matrix-2688, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4860), _u4862) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4860), _u4864)) | ( _u4860 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-2689, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4860), _u4862) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4860), _u4864)) | ( _u4862 != _u4864) )).
% 43.37/43.63 cnf(matrix-2690, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4865), _u4866)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4867), _u4866)), _u4868)) = 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), _u4865), _u4867)), _u4866)), _u4868)) )).
% 43.37/43.63 cnf(matrix-2691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4869)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4869), _u4870) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4869), _u4871)) | ( _u4870 = _u4871) )).
% 43.37/43.63 cnf(matrix-2692, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4869)) | ( _u4870 != _u4871) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4869), _u4870) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4869), _u4871)) )).
% 43.37/43.63 cnf(matrix-2693, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4872), _u4873)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4872), _u4874))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4873), _u4874)) )).
% 43.37/43.63 cnf(matrix-2694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4872)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4873), _u4874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4872), _u4873)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4872), _u4874))) )).
% 43.37/43.63 cnf(matrix-2695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4875), _u4876)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4875), _u4877))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4876), _u4877)) )).
% 43.37/43.63 cnf(matrix-2696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4875)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4876), _u4877)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4875), _u4876)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4875), _u4877))) )).
% 43.37/43.63 cnf(matrix-2697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4878), _u4879)) | ~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), _u4879), _u4880)), _u4881)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4878), _u4880)), _u4882))) | 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), _u4879), _u4878)), _u4880)), _u4881)), _u4882)) )).
% 43.37/43.63 cnf(matrix-2698, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4878), _u4879)) | ~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), _u4879), _u4878)), _u4880)), _u4881)), _u4882)) | 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), _u4879), _u4880)), _u4881)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4878), _u4880)), _u4882))) )).
% 43.37/43.63 cnf(matrix-2699, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4883), _u4884)) | ( 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), _u4884), _u4885)), _u4886)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4883), _u4885)), _u4887)) = 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), _u4884), _u4883)), _u4885)), _u4886)), _u4887)) )).
% 43.37/43.63 cnf(matrix-2700, 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), _u4888)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Otimes__class_Otimes(tc_Nat_Onat)), _u4889))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4890))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4890), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4888), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4888), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u4890), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u4889))))) )).
% 43.37/43.63 cnf(matrix-2701, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4892) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4893), _u4894)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4893), _u4895)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4893, tc_HOL_Obool)), _u4894), _u4895)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4892), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), _u4894)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), _u4895))) | hBOOL(hAPP(hAPP(c_member(_u4893), skolem101(_u4896, _u4895, _u4894, _u4893, _u4892)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4893, tc_HOL_Obool)), _u4894), _u4895))) )).
% 43.37/43.63 cnf(matrix-2702, plain, ( ~class_Groups_Ocomm__monoid__mult(_u4892) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4893), _u4894)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u4893), _u4895)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4893, tc_HOL_Obool)), _u4894), _u4895)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4892), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), _u4894)), hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u4892, _u4893, c_Groups_Otimes__class_Otimes(_u4892)), _u4896), c_Groups_Oone__class_Oone(_u4892)), _u4895))) | ( hAPP(_u4896, skolem101(_u4896, _u4895, _u4894, _u4893, _u4892)) != c_Groups_Oone__class_Oone(_u4892)) )).
% 43.37/43.63 cnf(matrix-2703, plain, ( ~class_Rings_Ocomm__semiring__1(_u4897) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4897), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4897), c_Groups_Oone__class_Oone(_u4897)), c_Groups_Oone__class_Oone(_u4897))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4897), c_Nat_Osemiring__1__class_Oof__nat(_u4897)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u4898))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u4897), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4897), _u4898)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4897), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4897), _u4898)), c_Groups_Oone__class_Oone(_u4897)))) )).
% 43.37/43.63 cnf(matrix-2704, plain, ( ~class_Orderings_Olinorder(_u4899) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4899), _u4900), _u4901)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4899, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u4899), _u4900), c_Orderings_Obot__class_Obot(tc_fun(_u4899, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanAtMost(_u4899, _u4900, _u4901)) = c_SetInterval_Oord__class_OatLeastAtMost(_u4899, _u4900, _u4901)) )).
% 43.37/43.63 cnf(matrix-2705, plain, ( ~class_Groups_Ocomm__monoid__add(_u4902) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4903), _u4904)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4902), _u4905), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u4903, _u4904)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u4902), hAPP(_u4905, _u4903)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u4902), _u4905), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u4903, _u4904)))) )).
% 43.37/43.63 cnf(matrix-2706, plain, ( ~class_Orderings_Olinorder(_u4906) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4906), _u4907), _u4908)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4906, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4906, _u4907), _u4908)), hAPP(hAPP(c_Set_Oinsert(_u4906), _u4908), c_Orderings_Obot__class_Obot(tc_fun(_u4906, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(_u4906, _u4907, _u4908)) )).
% 43.37/43.63 cnf(matrix-2707, plain, ( ~class_Groups_Oab__semigroup__mult(_u4909) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4909, _u4909, c_Groups_Otimes__class_Otimes(_u4909), _u4910, _u4911), _u4912)) | ~hBOOL(hAPP(hAPP(c_member(_u4909), _u4913), _u4911)) | hBOOL(hAPP(hAPP(c_member(_u4909), _u4910), _u4911)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4909, _u4909, c_Groups_Otimes__class_Otimes(_u4909), _u4913, hAPP(hAPP(c_Set_Oinsert(_u4909), _u4910), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u4909, tc_HOL_Obool)), _u4911), hAPP(hAPP(c_Set_Oinsert(_u4909), _u4913), c_Orderings_Obot__class_Obot(tc_fun(_u4909, tc_HOL_Obool)))))), _u4912)) )).
% 43.37/43.63 cnf(matrix-2708, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4914), _u4915))) )).
% 43.37/43.63 cnf(matrix-2709, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4916))) )).
% 43.37/43.63 cnf(matrix-2710, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u4917, _u4918))) )).
% 43.37/43.63 cnf(matrix-2711, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u4919) = hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u4919)) )).
% 43.37/43.63 cnf(matrix-2712, plain, ( ~class_Orderings_Olinorder(_u4920) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u4920), _u4921) != hAPP(c_SetInterval_Oord__class_OlessThan(_u4920), _u4922)) | ( _u4921 = _u4922) )).
% 43.37/43.63 cnf(matrix-2713, plain, ( ~class_Orderings_Olinorder(_u4920) | ( _u4921 != _u4922) | ( hAPP(c_SetInterval_Oord__class_OlessThan(_u4920), _u4921) = hAPP(c_SetInterval_Oord__class_OlessThan(_u4920), _u4922)) )).
% 43.37/43.63 cnf(matrix-2714, plain, ( ~class_Nat_Osemiring__char__0(_u4923) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4923), _u4924) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4923), _u4925)) | ( _u4924 = _u4925) )).
% 43.37/43.63 cnf(matrix-2715, plain, ( ~class_Nat_Osemiring__char__0(_u4923) | ( _u4924 != _u4925) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4923), _u4924) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u4923), _u4925)) )).
% 43.37/43.63 cnf(matrix-2716, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u4926), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2717, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4928)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u4928 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-2718, plain, ( ( _u4929 != 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), _u4929)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2719, 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)) )).
% 43.37/43.63 cnf(matrix-2720, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4931) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u4931 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-2721, plain, ( ( _u4932 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4932) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-2722, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u4933)) = 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), _u4933))) )).
% 43.37/43.63 cnf(matrix-2723, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4938), _u4940)) | ( _u4940 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4938), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem102(_u4940, _u4938))))) )).
% 43.37/43.63 cnf(matrix-2724, plain, ( ( _u4941 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u4939), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, _u4935)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u4939), _u4941)) )).
% 43.37/43.63 cnf(matrix-2725, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4944)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4946))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4944), _u4946)) )).
% 43.37/43.63 cnf(matrix-2726, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u4945), _u4947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4945)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4947))) )).
% 43.37/43.63 cnf(matrix-2727, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4948)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4949)), _u4950)) = 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), _u4948), _u4949))), _u4950)) )).
% 43.37/43.63 cnf(matrix-2728, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4951)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4952)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u4951), _u4952))) )).
% 43.37/43.63 cnf(matrix-2729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4955)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4957))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4955), _u4957)) )).
% 43.37/43.63 cnf(matrix-2730, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u4956), _u4958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4956)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4958))) )).
% 43.37/43.63 cnf(matrix-2731, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4959), _u4960)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4959)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4960))) )).
% 43.37/43.63 cnf(matrix-2732, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4961)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u4962)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u4961), _u4962))) )).
% 43.37/43.63 cnf(matrix-2733, 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)) )).
% 43.37/43.63 cnf(matrix-2734, plain, ( ~class_Orderings_Olinorder(_u4963) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u4963), _u4964), _u4965)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u4963, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u4963), _u4964)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4963, _u4964), _u4965)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u4963), _u4965)) )).
% 43.37/43.63 cnf(matrix-2735, plain, ( ~class_Orderings_Oorder(_u4966) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u4966, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u4966), _u4967)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4966, _u4967), _u4968)) = c_Orderings_Obot__class_Obot(tc_fun(_u4966, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2736, plain, ( ~class_Orderings_Olinorder(_u4969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4970), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4972), _u4973)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4970), _u4971) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4972), _u4973)) | ( _u4970 = _u4972) )).
% 43.37/43.63 cnf(matrix-2737, plain, ( ~class_Orderings_Olinorder(_u4969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4970), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4972), _u4973)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4970), _u4971) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4972), _u4973)) | ( _u4971 = _u4973) )).
% 43.37/43.63 cnf(matrix-2738, plain, ( ~class_Orderings_Olinorder(_u4969) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4970), _u4971)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4969), _u4972), _u4973)) | ( _u4970 != _u4972) | ( _u4971 != _u4973) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4970), _u4971) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4969, _u4972), _u4973)) )).
% 43.37/43.63 cnf(matrix-2739, plain, ( ~class_Orderings_Olinorder(_u4974) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4974, _u4975), _u4976) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4974, _u4977), _u4978)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4974), _u4975), _u4976)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4974), _u4977), _u4978)) | ( _u4975 = _u4977) )).
% 43.37/43.63 cnf(matrix-2740, plain, ( ~class_Orderings_Olinorder(_u4979) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4979, _u4980), _u4981) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u4979, _u4982), _u4983)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4979), _u4980), _u4981)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u4979), _u4982), _u4983)) | ( _u4981 = _u4983) )).
% 43.37/43.63 cnf(matrix-2741, 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))) )).
% 43.37/43.63 cnf(matrix-2742, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4984, _u4985, _u4986, _u4987, c_Orderings_Obot__class_Obot(tc_fun(_u4984, tc_HOL_Obool))), _u4987)) )).
% 43.37/43.63 cnf(matrix-2743, plain, ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4988, _u4989, _u4990, _u4991, c_Orderings_Obot__class_Obot(tc_fun(_u4988, tc_HOL_Obool))), _u4991)) )).
% 43.37/43.63 cnf(matrix-2744, plain, ( ( _u4996 = _u4995) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4992, _u4993, _u4994, _u4995, c_Orderings_Obot__class_Obot(tc_fun(_u4992, tc_HOL_Obool))), _u4996)) )).
% 43.37/43.63 cnf(matrix-2745, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u4997, _u4998, _u4999, _u5000, _u5001), _u5002)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u4997), _u5001)) )).
% 43.37/43.63 cnf(matrix-2746, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5003, tc_Nat_Onat), _u5004), _u5005)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5003, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u5003), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5004)), _u5005)) )).
% 43.37/43.63 cnf(matrix-2747, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5006)) = _u5006) )).
% 43.37/43.63 cnf(matrix-2748, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5008), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5013))) | hBOOL(hAPP(_u5015, _u5008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem103(_u5015, _u5013)), _u5013)) )).
% 43.37/43.63 cnf(matrix-2749, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5008), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5013))) | hBOOL(hAPP(_u5015, _u5008)) | ~hBOOL(hAPP(_u5015, skolem103(_u5015, _u5013))) )).
% 43.37/43.63 cnf(matrix-2750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5010), _u5014)) | hBOOL(hAPP(_u5016, _u5010)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem104(_u5016, _u5014)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5014))) )).
% 43.37/43.63 cnf(matrix-2751, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5010), _u5014)) | hBOOL(hAPP(_u5016, _u5010)) | ~hBOOL(hAPP(_u5016, skolem104(_u5016, _u5014))) )).
% 43.37/43.63 cnf(matrix-2752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5017), _u5023)) | ~hBOOL(hAPP(_u5025, _u5017)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem105(_u5025, _u5023)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5023))) )).
% 43.37/43.63 cnf(matrix-2753, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5017), _u5023)) | ~hBOOL(hAPP(_u5025, _u5017)) | hBOOL(hAPP(_u5025, skolem105(_u5025, _u5023))) )).
% 43.37/43.63 cnf(matrix-2754, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5019), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5024))) | ~hBOOL(hAPP(_u5026, _u5019)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem106(_u5026, _u5024)), _u5024)) )).
% 43.37/43.63 cnf(matrix-2755, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5019), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5024))) | ~hBOOL(hAPP(_u5026, _u5019)) | hBOOL(hAPP(_u5026, skolem106(_u5026, _u5024))) )).
% 43.37/43.63 cnf(matrix-2756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5027), _u5028)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5027), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5028), _u5029)) = 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, _u5027), _u5028)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5028), _u5029)))) )).
% 43.37/43.63 cnf(matrix-2757, 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)) )).
% 43.37/43.63 cnf(matrix-2758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5030), _u5031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5032)) | 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), _u5032)), _u5030)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5032)), _u5031))) )).
% 43.37/43.63 cnf(matrix-2759, 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), _u5034))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5034)) )).
% 43.37/43.63 cnf(matrix-2760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5035)) | 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), _u5035))) )).
% 43.37/43.63 cnf(matrix-2761, plain, ( ~class_Rings_Olinordered__semidom(_u5036) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5036), c_Groups_Ozero__class_Ozero(_u5036)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5036), _u5037))) )).
% 43.37/43.63 cnf(matrix-2762, plain, ( ~class_Rings_Olinordered__semidom(_u5038) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5038), c_Groups_Ozero__class_Ozero(_u5038)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5038), _u5039))) )).
% 43.37/43.63 cnf(matrix-2763, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5040), _u5041)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5041)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5040)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5041), _u5040))) )).
% 43.37/43.63 cnf(matrix-2764, plain, ( ~class_Rings_Olinordered__semidom(_u5042) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5042), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5042), _u5043)), c_Groups_Ozero__class_Ozero(_u5042))) )).
% 43.37/43.63 cnf(matrix-2765, plain, ( ~class_Rings_Osemiring__1(_u5044) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5044), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(_u5044)) )).
% 43.37/43.63 cnf(matrix-2766, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5045), hAPP(c_Nat_OSuc, _u5046)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5045, _u5046)) )).
% 43.37/43.63 cnf(matrix-2767, plain, ( ~class_Rings_Olinordered__semidom(_u5047) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5047), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5047), _u5048)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5047), _u5049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5048), _u5049)) )).
% 43.37/43.63 cnf(matrix-2768, plain, ( ~class_Rings_Olinordered__semidom(_u5050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5051), _u5052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5050), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5050), _u5051)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5050), _u5052))) )).
% 43.37/43.63 cnf(matrix-2769, plain, ( ~class_Rings_Olinordered__semidom(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), _u5054)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), _u5055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5054), _u5055)) )).
% 43.37/43.63 cnf(matrix-2770, plain, ( ~class_Rings_Olinordered__semidom(_u5053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5054), _u5055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5053), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), _u5054)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5053), _u5055))) )).
% 43.37/43.63 cnf(matrix-2771, plain, ( ~class_Rings_Olinordered__semidom(_u5056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5056), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5056), _u5057)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5056), _u5058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5057), _u5058)) )).
% 43.37/43.63 cnf(matrix-2772, plain, ( ~class_Rings_Olinordered__semidom(_u5056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5057), _u5058)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5056), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5056), _u5057)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5056), _u5058))) )).
% 43.37/43.63 cnf(matrix-2773, plain, ( ~class_Rings_Osemiring__1(_u5059) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5059), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5060), _u5061)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5059), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5059), _u5060)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5059), _u5061))) )).
% 43.37/43.63 cnf(matrix-2774, plain, ( ~class_Rings_Osemiring__1(_u5062) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5062), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5063), _u5064)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5062), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5062), _u5063)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5062), _u5064))) )).
% 43.37/43.63 cnf(matrix-2775, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5065), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5066), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5066), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u5065))))) | ( _u5065 = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5066), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5066), hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u5065)))) )).
% 43.37/43.63 cnf(matrix-2776, plain, ( ~class_Rings_Osemiring__1(_u5067) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5067), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u5067)) )).
% 43.37/43.63 cnf(matrix-2777, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5068), hAPP(c_Nat_OSuc, _u5068)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u5068), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.37/43.63 cnf(matrix-2778, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5069), _u5070)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5070), _u5069)) )).
% 43.37/43.63 cnf(matrix-2779, plain, ( ~class_Rings_Oring__1(_u5071) | hBOOL(hAPP(hAPP(c_member(_u5071), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5071), _u5072)), c_Int_Oring__1__class_OInts(_u5071))) )).
% 43.37/43.63 cnf(matrix-2780, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Nat_Onat, c_Nat_OSuc), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5073), _u5074)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5073)), hAPP(c_Nat_OSuc, _u5074))) )).
% 43.37/43.63 cnf(matrix-2781, plain, ( ~class_Orderings_Oorder(_u5075) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5075), _u5076), _u5077)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5075, _u5077), _u5076) = c_Orderings_Obot__class_Obot(tc_fun(_u5075, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2782, plain, ( ~class_Orderings_Oorder(_u5078) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5078, _u5079), _u5080) != c_Orderings_Obot__class_Obot(tc_fun(_u5078, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5078), _u5079), _u5080)) )).
% 43.37/43.63 cnf(matrix-2783, plain, ( ~class_Orderings_Oorder(_u5078) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5078), _u5079), _u5080)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5078, _u5079), _u5080) = c_Orderings_Obot__class_Obot(tc_fun(_u5078, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2784, plain, ( ~class_Orderings_Oorder(_u5081) | ( c_Orderings_Obot__class_Obot(tc_fun(_u5081, tc_HOL_Obool)) != hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5081, _u5082), _u5083)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5081), _u5082), _u5083)) )).
% 43.37/43.63 cnf(matrix-2785, plain, ( ~class_Orderings_Oorder(_u5081) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5081), _u5082), _u5083)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u5081, tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5081, _u5082), _u5083)) )).
% 43.37/43.63 cnf(matrix-2786, plain, ( ~class_Orderings_Olinorder(_u5084) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5084, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5084, _u5085), _u5086)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5084, _u5087), _u5088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5084), _u5086), _u5085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5084), _u5087), _u5085)) )).
% 43.37/43.63 cnf(matrix-2787, plain, ( ~class_Orderings_Olinorder(_u5084) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5084, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5084, _u5085), _u5086)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5084, _u5087), _u5088))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5084), _u5086), _u5085)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5084), _u5086), _u5088)) )).
% 43.37/43.63 cnf(matrix-2788, plain, ( ~class_Groups_Ocomm__monoid__add(_u5089) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5089), _u5090), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5091)), hAPP(c_Nat_OSuc, _u5092))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5089), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5089, tc_Nat_Onat), _u5090), c_Nat_OSuc)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5091), _u5092))) )).
% 43.37/43.63 cnf(matrix-2789, plain, ( ~class_Orderings_Olinorder(_u5093) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5093), _u5094), _u5095)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5093), _u5095), _u5096)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5093, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5093, _u5094), _u5095)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5093, _u5095), _u5096)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5093, _u5094), _u5096)) )).
% 43.37/43.63 cnf(matrix-2790, plain, ( hBOOL(hAPP(hAPP(c_member(_u5097), _u5098), _u5099)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5097, _u5100, _u5101, _u5102, _u5099), _u5103)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5097, _u5100, _u5101, _u5102, hAPP(hAPP(c_Set_Oinsert(_u5097), _u5098), _u5099)), hAPP(hAPP(_u5101, _u5098), _u5103))) )).
% 43.37/43.63 cnf(matrix-2791, plain, ( ~class_Groups_Ocomm__monoid__add(_u5104) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5104), _u5105), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5106), _u5107)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5108), _u5107))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5104), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5104, tc_Nat_Onat), _u5105), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u5107))), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5106), _u5108))) )).
% 43.37/43.63 cnf(matrix-2792, plain, ( ~class_Orderings_Olinorder(_u5109) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5109), _u5110), _u5111)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5109, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5109, _u5110), _u5112)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5109, _u5110), _u5111)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5109, _u5111), _u5112)) )).
% 43.37/43.63 cnf(matrix-2793, plain, ( ~class_Orderings_Oorder(_u5113) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5113, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5113, _u5114), _u5115)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5113, _u5115), _u5116)) = c_Orderings_Obot__class_Obot(tc_fun(_u5113, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2794, plain, ( ~class_Orderings_Oorder(_u5117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5117), _u5118), _u5119)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u5117, _u5119, _u5118) = c_Orderings_Obot__class_Obot(tc_fun(_u5117, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2795, plain, ( ~class_Rings_Osemiring__1(_u5120) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5120), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5121, tc_Nat_Onat), _u5122), _u5123)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5121, _u5120), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5120, _u5121), c_Nat_Osemiring__1__class_Oof__nat(_u5120)), _u5122)), _u5123)) )).
% 43.37/43.63 cnf(matrix-2796, plain, ( ~class_Orderings_Oorder(_u5124) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u5124, _u5125, _u5126) != c_Orderings_Obot__class_Obot(tc_fun(_u5124, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5124), _u5125), _u5126)) )).
% 43.37/43.63 cnf(matrix-2797, plain, ( ~class_Orderings_Oorder(_u5124) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5124), _u5125), _u5126)) | ( c_SetInterval_Oord__class_OgreaterThanAtMost(_u5124, _u5125, _u5126) = c_Orderings_Obot__class_Obot(tc_fun(_u5124, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2798, plain, ( ~class_Orderings_Oorder(_u5127) | ( c_Orderings_Obot__class_Obot(tc_fun(_u5127, tc_HOL_Obool)) != c_SetInterval_Oord__class_OgreaterThanAtMost(_u5127, _u5128, _u5129)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5127), _u5128), _u5129)) )).
% 43.37/43.63 cnf(matrix-2799, plain, ( ~class_Orderings_Oorder(_u5127) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5127), _u5128), _u5129)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u5127, tc_HOL_Obool)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u5127, _u5128, _u5129)) )).
% 43.37/43.63 cnf(matrix-2800, 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)), _u5130)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5131), _u5132)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5131), _u5130)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5132), _u5130))) )).
% 43.37/43.63 cnf(matrix-2801, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5133)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u5133), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5133))) )).
% 43.37/43.63 cnf(matrix-2802, plain, ( ~class_Orderings_Olinorder(_u5134) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), _u5135), _u5136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5134), _u5136), _u5137)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5134, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5134, _u5135, _u5136)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5134, _u5136, _u5137)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u5134, _u5135, _u5137)) )).
% 43.37/43.63 cnf(matrix-2803, plain, ( ~class_Orderings_Oorder(_u5138) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5138, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5138, _u5139, _u5140)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5138, _u5140, _u5141)) = c_Orderings_Obot__class_Obot(tc_fun(_u5138, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2804, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5142), _u5143) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u5142, _u5143)) )).
% 43.37/43.63 cnf(matrix-2805, plain, ( ~class_Orderings_Oord(_u5144) | ~hBOOL(hAPP(hAPP(c_member(_u5144), _u5145), hAPP(c_SetInterval_Oord__class_OlessThan(_u5144), _u5146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5144), _u5145), _u5146)) )).
% 43.37/43.63 cnf(matrix-2806, plain, ( ~class_Orderings_Oord(_u5144) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5144), _u5145), _u5146)) | hBOOL(hAPP(hAPP(c_member(_u5144), _u5145), hAPP(c_SetInterval_Oord__class_OlessThan(_u5144), _u5146))) )).
% 43.37/43.63 cnf(matrix-2807, plain, ( ~class_Orderings_Olinorder(_u5147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5147, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5147), _u5148)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5147), _u5149))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5147), _u5148), _u5149)) )).
% 43.37/43.63 cnf(matrix-2808, plain, ( ~class_Orderings_Olinorder(_u5147) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5147), _u5148), _u5149)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5147, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5147), _u5148)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5147), _u5149))) )).
% 43.37/43.63 cnf(matrix-2809, plain, ( ~class_Groups_Ocomm__monoid__add(_u5150) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5151), _u5152)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5152), _u5153)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5150), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5150), _u5154), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5151), _u5152))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5150), _u5154), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5152), _u5153))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5150), _u5154), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5151), _u5153))) )).
% 43.37/43.63 cnf(matrix-2810, plain, ( ~class_Groups_Oab__group__add(_u5155) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5156), _u5157)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5157), _u5158)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5155), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5155), _u5159), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5156), _u5158))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5155), _u5159), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5156), _u5157))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5155), _u5159), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5157), _u5158))) )).
% 43.37/43.63 cnf(matrix-2811, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u5160, _u5161)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5161), _u5160)) )).
% 43.37/43.63 cnf(matrix-2812, plain, ( ~class_Rings_Osemiring__1(_u5162) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5162), hAPP(c_Nat_OSuc, _u5163)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5162), c_Groups_Oone__class_Oone(_u5162)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5162), _u5163))) )).
% 43.37/43.63 cnf(matrix-2813, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5166), _u5168)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5166), hAPP(c_Nat_OSuc, _u5168)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u5168), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5166), _u5168))) )).
% 43.37/43.63 cnf(matrix-2814, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5167), _u5169)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5167), hAPP(c_Nat_OSuc, _u5169)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2815, plain, ( ~class_Rings_Oring__1(_u5170) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5171), _u5172)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5170), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5172), _u5171)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5170), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5170), _u5172)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5170), _u5171))) )).
% 43.37/43.63 cnf(matrix-2816, plain, ( ~class_Orderings_Olinorder(_u5173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5173, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5173), _u5174)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5173), _u5175))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), _u5174), _u5175)) )).
% 43.37/43.63 cnf(matrix-2817, plain, ( ~class_Orderings_Olinorder(_u5173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5173), _u5174), _u5175)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u5173, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5173), _u5174)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5173), _u5175))) )).
% 43.37/43.63 cnf(matrix-2818, plain, ( ~class_Rings_Ocomm__semiring__1(_u5176) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5176), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5176), c_Groups_Oone__class_Oone(_u5176)), c_Groups_Oone__class_Oone(_u5176))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5176), hAPP(hAPP(c_COMBB(_u5176, _u5176, tc_Nat_Onat), hAPP(c_Groups_Oplus__class_Oplus(_u5176), _u5177)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u5176, _u5176), hAPP(hAPP(c_COMBB(_u5176, tc_fun(_u5176, _u5176), tc_Nat_Onat), c_Groups_Otimes__class_Otimes(_u5176)), c_Nat_Osemiring__1__class_Oof__nat(_u5176))), _u5178))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5179))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5176), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5176), _u5179)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5176), _u5177), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5176), _u5177), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5176), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5176), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5179), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u5178))))) )).
% 43.37/43.63 cnf(matrix-2819, plain, ( ~class_Groups_Oab__semigroup__mult(_u5180) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5180, _u5180, c_Groups_Otimes__class_Otimes(_u5180), _u5181, _u5182), _u5183)) | hBOOL(hAPP(hAPP(c_member(_u5180), _u5181), _u5182)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5180, _u5180, c_Groups_Otimes__class_Otimes(_u5180), _u5184, hAPP(hAPP(c_Set_Oinsert(_u5180), _u5181), _u5182)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5180), _u5184), _u5183))) )).
% 43.37/43.63 cnf(matrix-2820, plain, ( ~class_Rings_Osemiring__1(_u5185) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5186, _u5185), hAPP(c_COMBK(_u5185, _u5186), _u5187)), _u5188) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5185), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5185), hAPP(c_Finite__Set_Ocard(_u5186), _u5188))), _u5187)) )).
% 43.37/43.63 cnf(matrix-2821, plain, ( ~class_Orderings_Olinorder(_u5189) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5189), _u5190), _u5191)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5189), _u5191), _u5192)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5189, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5189, _u5190), _u5191)), c_SetInterval_Oord__class_OatLeastAtMost(_u5189, _u5191, _u5192)) = c_SetInterval_Oord__class_OatLeastAtMost(_u5189, _u5190, _u5192)) )).
% 43.37/43.63 cnf(matrix-2822, plain, ( ~class_Orderings_Oorder(_u5193) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5193, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5193, _u5194), _u5195)), c_SetInterval_Oord__class_OatLeastAtMost(_u5193, _u5195, _u5196)) = c_Orderings_Obot__class_Obot(tc_fun(_u5193, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2823, plain, ( ~class_Groups_Ocomm__monoid__add(_u5197) | ( hAPP(_u5198, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) != c_Groups_Ozero__class_Ozero(_u5197)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5197), _u5198), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u5199)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5197), _u5198), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5199))) )).
% 43.37/43.63 cnf(matrix-2824, plain, ( ~class_Groups_Ocomm__monoid__add(_u5200) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5201), _u5202)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5200), _u5203), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5201), _u5202)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5200), hAPP(_u5203, _u5201)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5200), _u5203), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5201)), _u5202)))) )).
% 43.37/43.63 cnf(matrix-2825, plain, ( ~class_Rings_Olinordered__semidom(_u5204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5204), c_Groups_Ozero__class_Ozero(_u5204)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5204), _u5205))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5205)) )).
% 43.37/43.63 cnf(matrix-2826, plain, ( ~class_Rings_Olinordered__semidom(_u5204) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u5205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5204), c_Groups_Ozero__class_Ozero(_u5204)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5204), _u5205))) )).
% 43.37/43.63 cnf(matrix-2827, plain, ( ~class_Groups_Ocomm__monoid__add(_u5206) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5206), _u5207), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5208))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5206), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5206), _u5207), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5208))), hAPP(_u5207, _u5208))) )).
% 43.37/43.63 cnf(matrix-2828, plain, ( ~class_Orderings_Olinorder(_u5209) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5209), _u5210), _u5211)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5209), _u5211), _u5212)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5209, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u5209, _u5210, _u5211)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5209, _u5211, _u5212)) = c_SetInterval_Oord__class_OatLeastAtMost(_u5209, _u5210, _u5212)) )).
% 43.37/43.63 cnf(matrix-2829, plain, ( ~class_Orderings_Oorder(_u5213) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5213, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u5213, _u5214, _u5215)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5213, _u5215, _u5216)) = c_Orderings_Obot__class_Obot(tc_fun(_u5213, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2830, plain, ( ~class_Orderings_Oorder(_u5217) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5217, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u5217), _u5218), c_Orderings_Obot__class_Obot(tc_fun(_u5217, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OlessThan(_u5217), _u5218)) = hAPP(hAPP(c_Set_Oinsert(_u5217), _u5218), c_Orderings_Obot__class_Obot(tc_fun(_u5217, tc_HOL_Obool)))) )).
% 43.37/43.63 cnf(matrix-2831, plain, ( ~class_Orderings_Oorder(_u5219) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5219, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5219), _u5220)), c_SetInterval_Oord__class_OatLeastAtMost(_u5219, _u5220, _u5221)) = c_Orderings_Obot__class_Obot(tc_fun(_u5219, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2832, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5222, _u5223, _u5224, _u5225, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u5222, tc_HOL_Obool)), _u5226), hAPP(hAPP(c_Set_Oinsert(_u5222), _u5227), c_Orderings_Obot__class_Obot(tc_fun(_u5222, tc_HOL_Obool))))), _u5228)) | ~hBOOL(hAPP(hAPP(c_member(_u5222), _u5227), _u5226)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5222, _u5223, _u5224, _u5225, _u5226), hAPP(hAPP(_u5224, _u5227), _u5228))) )).
% 43.37/43.63 cnf(matrix-2833, plain, ( ~class_Groups_Ocomm__monoid__add(_u5229) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5230), _u5231)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5229), _u5232), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5231), hAPP(c_Nat_OSuc, _u5230))) = c_Groups_Ozero__class_Ozero(_u5229)) )).
% 43.37/43.63 cnf(matrix-2834, plain, ( ~class_Groups_Ocomm__monoid__add(_u5229) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5230), _u5231)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5229), _u5232), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5231), hAPP(c_Nat_OSuc, _u5230))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5229), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5229), _u5232), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5231), _u5230))), hAPP(_u5232, _u5230))) )).
% 43.37/43.63 cnf(matrix-2835, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5233)) = 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), _u5233)))) )).
% 43.37/43.63 cnf(matrix-2836, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5237), _u5239)) | ( 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)), _u5237)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5241), _u5239)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5241), _u5237)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5239), _u5237))) )).
% 43.37/43.63 cnf(matrix-2837, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5238), _u5240)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5242), _u5240)) | ( 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)), _u5238)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5242), _u5240)) = 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)))) )).
% 43.37/43.63 cnf(matrix-2838, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5238), _u5240)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5242), _u5240)) | ( 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)), _u5238)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u5242), _u5240)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2839, plain, ( ~class_Rings_Osemiring__1(_u5243) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5243), _u5244) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5243, hAPP(hAPP(c_COMBC(_u5243, _u5243, _u5243), c_Groups_Oplus__class_Oplus(_u5243)), c_Groups_Oone__class_Oone(_u5243)), _u5244, c_Groups_Ozero__class_Ozero(_u5243))) )).
% 43.37/43.63 cnf(matrix-2840, plain, ( ~hBOOL(hAPP(_u5248, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5250), _u5252)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5252), _u5250)) | hBOOL(hAPP(_u5248, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5250)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5252)))) )).
% 43.37/43.63 cnf(matrix-2841, plain, ( ~hBOOL(hAPP(_u5248, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5250), _u5252)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5250), _u5252)) | hBOOL(hAPP(_u5248, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2842, plain, ( hBOOL(hAPP(_u5249, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5251), _u5253)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5253), _u5251)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5251), _u5253)) )).
% 43.37/43.63 cnf(matrix-2843, plain, ( hBOOL(hAPP(_u5249, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5251), _u5253)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5253), _u5251)) | ~hBOOL(hAPP(_u5249, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2844, plain, ( hBOOL(hAPP(_u5249, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5251), _u5253)))) | ~hBOOL(hAPP(_u5249, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5251)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5253)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5251), _u5253)) )).
% 43.37/43.63 cnf(matrix-2845, plain, ( hBOOL(hAPP(_u5249, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5251), _u5253)))) | ~hBOOL(hAPP(_u5249, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5251)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5253)))) | ~hBOOL(hAPP(_u5249, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2846, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u5254, _u5254, _u5255, _u5256, _u5257), _u5258)) | hBOOL(hAPP(hAPP(c_member(_u5254), _u5256), _u5257)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5254, _u5255, hAPP(hAPP(c_Set_Oinsert(_u5254), _u5256), _u5257)), _u5258)) )).
% 43.37/43.63 cnf(matrix-2847, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5260) | ~class_Rings_Osemiring__1(_u5260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5260), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5261, _u5260), _u5263), _u5262)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5260), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5260), hAPP(c_Finite__Set_Ocard(_u5261), _u5262))), _u5264))) | hBOOL(hAPP(hAPP(c_member(_u5261), skolem107(_u5264, _u5263, _u5262, _u5261, _u5260)), _u5262)) )).
% 43.37/43.63 cnf(matrix-2848, plain, ( ~class_Groups_Oordered__ab__semigroup__add(_u5260) | ~class_Rings_Osemiring__1(_u5260) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5260), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5261, _u5260), _u5263), _u5262)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5260), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5260), hAPP(c_Finite__Set_Ocard(_u5261), _u5262))), _u5264))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5260), hAPP(_u5263, skolem107(_u5264, _u5263, _u5262, _u5261, _u5260))), _u5264)) )).
% 43.37/43.63 cnf(matrix-2849, plain, ( ~class_Orderings_Olinorder(_u5265) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5265), _u5266), _u5267)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5265), _u5267), _u5268)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5265, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5265, _u5266, _u5267)), c_SetInterval_Oord__class_OatLeastAtMost(_u5265, _u5267, _u5268)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u5265, _u5266, _u5268)) )).
% 43.37/43.63 cnf(matrix-2850, plain, ( ~class_Orderings_Olinorder(_u5269) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5269), _u5270), _u5271)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5269, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5269, _u5270, _u5271)), hAPP(hAPP(c_Set_Oinsert(_u5269), _u5271), c_Orderings_Obot__class_Obot(tc_fun(_u5269, tc_HOL_Obool)))) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u5269, _u5270, _u5271)) )).
% 43.37/43.63 cnf(matrix-2851, plain, ( ~class_Orderings_Olinorder(_u5272) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5272), _u5273), _u5274)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5272), _u5274), _u5275)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5272, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u5272, _u5273, _u5274)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5272, _u5274, _u5275)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5272, _u5273), _u5275)) )).
% 43.37/43.63 cnf(matrix-2852, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u5276, _u5277))) )).
% 43.37/43.63 cnf(matrix-2853, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5278), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5279) = c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u5278, _u5279)) )).
% 43.37/43.63 cnf(matrix-2854, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5280), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5281), c_Groups_Oone__class_Oone(tc_Int_Oint))) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5280, _u5281)) )).
% 43.37/43.63 cnf(matrix-2855, 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)), _u5282)), 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), _u5283), _u5282))) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5282), _u5283)) )).
% 43.37/43.63 cnf(matrix-2856, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5288), _u5290)) | ( _u5290 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5288), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem108(_u5290, _u5288)))) )).
% 43.37/43.63 cnf(matrix-2857, plain, ( ( _u5291 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5289), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5285))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5289), _u5291)) )).
% 43.37/43.63 cnf(matrix-2858, 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), _u5292))) )).
% 43.37/43.63 cnf(matrix-2859, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5295) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5297)) | ( _u5295 = _u5297) )).
% 43.37/43.63 cnf(matrix-2860, plain, ( ( _u5296 != _u5298) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5296) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5298)) )).
% 43.37/43.63 cnf(matrix-2861, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5299)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2862, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5300), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5301) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u5300, _u5301)) )).
% 43.37/43.63 cnf(matrix-2863, 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)), _u5302))) )).
% 43.37/43.63 cnf(matrix-2864, 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)), _u5304)), _u5304)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5304), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2865, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5305), 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)), _u5305)), _u5305)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2866, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5306)) | 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)), _u5306))) )).
% 43.37/43.63 cnf(matrix-2867, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5309), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5311), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5309), _u5311)) | ( _u5309 = _u5311) )).
% 43.37/43.63 cnf(matrix-2868, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5310), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5312), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5310), _u5312)) )).
% 43.37/43.63 cnf(matrix-2869, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5310), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5312), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | ( _u5310 != _u5312) )).
% 43.37/43.63 cnf(matrix-2870, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5315), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5317), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5315), _u5317)) )).
% 43.37/43.63 cnf(matrix-2871, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5316), _u5318)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5316), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5318), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.37/43.63 cnf(matrix-2872, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5321), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5323)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5321), _u5323)) )).
% 43.37/43.63 cnf(matrix-2873, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5322), _u5324)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5322), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5324)) )).
% 43.37/43.63 cnf(matrix-2874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5325), _u5326)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5325), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5326)) )).
% 43.37/43.63 cnf(matrix-2875, 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)), _u5327)), _u5327) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-2876, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-2877, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5329)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5329)) )).
% 43.37/43.63 cnf(matrix-2878, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5330)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5330)) )).
% 43.37/43.63 cnf(matrix-2879, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5333), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5335), c_Groups_Oone__class_Oone(tc_Int_Oint)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5333), _u5335)) )).
% 43.37/43.63 cnf(matrix-2880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5334), _u5336)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5334), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5336), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.37/43.63 cnf(matrix-2881, 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))) )).
% 43.37/43.63 cnf(matrix-2882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5339), _u5341)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5339), _u5341)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2883, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5340), _u5342)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5340), _u5342)) )).
% 43.37/43.63 cnf(matrix-2884, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5343), _u5344)) | ( _u5343 = _u5344) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5344), _u5343)) )).
% 43.37/43.63 cnf(matrix-2885, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5347), _u5349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5347), _u5349)) )).
% 43.37/43.63 cnf(matrix-2886, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5347), _u5349)) | ( _u5347 != _u5349) )).
% 43.37/43.63 cnf(matrix-2887, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5348), _u5350)) | ( _u5348 = _u5350) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5348), _u5350)) )).
% 43.37/43.63 cnf(matrix-2888, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5351), _u5352)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5352), _u5351)) | ( _u5351 = _u5352) )).
% 43.37/43.63 cnf(matrix-2889, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5353), _u5354)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5354), _u5355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5353), _u5355)) )).
% 43.37/43.63 cnf(matrix-2890, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5356), _u5357)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5357), _u5356)) )).
% 43.37/43.63 cnf(matrix-2891, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5358), _u5358)) )).
% 43.37/43.63 cnf(matrix-2892, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5359), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u5359) )).
% 43.37/43.63 cnf(matrix-2893, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5360) = _u5360) )).
% 43.37/43.63 cnf(matrix-2894, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5361), _u5362)), _u5363) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5361), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5362), _u5363))) )).
% 43.37/43.63 cnf(matrix-2895, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5364), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5365), _u5366)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5365), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5364), _u5366))) )).
% 43.37/43.63 cnf(matrix-2896, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5367), _u5368) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5368), _u5367)) )).
% 43.37/43.63 cnf(matrix-2897, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5369), _u5370)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5371), _u5369)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5371), _u5370))) )).
% 43.37/43.63 cnf(matrix-2898, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5372), _u5373)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5374), _u5375)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5372), _u5374)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5373), _u5375))) )).
% 43.37/43.63 cnf(matrix-2899, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5376), _u5377)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5376), _u5378)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5377), _u5378))) )).
% 43.37/43.63 cnf(matrix-2900, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5381), _u5383)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5383, _u5381) = c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2901, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5382), _u5384)) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5384, _u5382) = hAPP(hAPP(c_Set_Oinsert(tc_Int_Oint), _u5384), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5384), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5382))) )).
% 43.37/43.63 cnf(matrix-2902, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5385), c_Groups_Oone__class_Oone(tc_Int_Oint)) = _u5385) )).
% 43.37/43.63 cnf(matrix-2903, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5386) = _u5386) )).
% 43.37/43.63 cnf(matrix-2904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5387)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5387), _u5388) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5387 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-2905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5387)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5387), _u5388) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5388 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-2906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5387)) | ( _u5387 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u5388 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5387), _u5388) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-2907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5389), _u5390)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5391), _u5389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5391), _u5390))) )).
% 43.37/43.63 cnf(matrix-2908, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5392), _u5393)), _u5394) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5392), _u5394)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5393), _u5394))) )).
% 43.37/43.63 cnf(matrix-2909, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5395), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5396), _u5397)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5395), _u5396)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5395), _u5397))) )).
% 43.37/43.63 cnf(matrix-2910, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5398), _u5399) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5399), _u5398)) )).
% 43.37/43.63 cnf(matrix-2911, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5400), _u5401)), _u5402) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5401), _u5402))) )).
% 43.37/43.63 cnf(matrix-2912, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5403), _u5404)), _u5405) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5403), _u5405)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5404), _u5405))) )).
% 43.37/43.63 cnf(matrix-2913, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5406), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5407), _u5408)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5406), _u5407)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5406), _u5408))) )).
% 43.37/43.63 cnf(matrix-2914, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u5409)), _u5410) = c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u5409, _u5410)) )).
% 43.37/43.63 cnf(matrix-2915, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5411, _u5412, _u5413), _u5414)) | ( _u5413 != c_Orderings_Obot__class_Obot(tc_fun(_u5411, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2916, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5415, _u5416, c_Orderings_Obot__class_Obot(tc_fun(_u5415, tc_HOL_Obool))), _u5417)) )).
% 43.37/43.63 cnf(matrix-2917, plain, ( ~class_Orderings_Oorder(_u5418) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5418), _u5419), _u5420)) | ( c_SetInterval_Oord__class_OgreaterThanLessThan(_u5418, _u5420, _u5419) = c_Orderings_Obot__class_Obot(tc_fun(_u5418, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2918, plain, ( ~class_Rings_Osemiring__1(_u5421) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u5421, _u5422, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5423) = _u5423) )).
% 43.37/43.63 cnf(matrix-2919, plain, ( ~class_Rings_Osemiring__1(_u5424) | ( c_Nat_Osemiring__1__class_Oof__nat__aux(_u5424, _u5425, hAPP(c_Nat_OSuc, _u5426), _u5427) = c_Nat_Osemiring__1__class_Oof__nat__aux(_u5424, _u5425, _u5426, hAPP(_u5425, _u5427))) )).
% 43.37/43.63 cnf(matrix-2920, plain, ( ( _u5436 = _u5438) | ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5432, _u5434, hAPP(hAPP(c_Set_Oinsert(_u5432), _u5436), c_Orderings_Obot__class_Obot(tc_fun(_u5432, tc_HOL_Obool)))), _u5438)) )).
% 43.37/43.63 cnf(matrix-2921, plain, ( ( _u5437 != _u5439) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u5433, _u5435, hAPP(hAPP(c_Set_Oinsert(_u5433), _u5437), c_Orderings_Obot__class_Obot(tc_fun(_u5433, tc_HOL_Obool)))), _u5439)) )).
% 43.37/43.63 cnf(matrix-2922, plain, ( ~class_Orderings_Oorder(_u5440) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5440, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u5440, _u5441, _u5442)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5440, _u5442, _u5443)) = c_Orderings_Obot__class_Obot(tc_fun(_u5440, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2923, plain, ( ~class_Orderings_Oorder(_u5444) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5444, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5444, _u5445, _u5446)), c_SetInterval_Oord__class_OatLeastAtMost(_u5444, _u5446, _u5447)) = c_Orderings_Obot__class_Obot(tc_fun(_u5444, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2924, plain, ( ~class_Orderings_Oorder(_u5448) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5448, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5448, _u5449, _u5450)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5448, _u5450), _u5451)) = c_Orderings_Obot__class_Obot(tc_fun(_u5448, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2925, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u5452, _u5453)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5453), hAPP(c_Nat_OSuc, _u5452))) )).
% 43.37/43.63 cnf(matrix-2926, plain, ( ~class_Orderings_Oorder(_u5454) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5454, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5454, _u5455, _u5456)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5454, _u5456, _u5457)) = c_Orderings_Obot__class_Obot(tc_fun(_u5454, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-2927, plain, ( ~class_Orderings_Olinorder(_u5458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5458), _u5459), _u5460)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5458), _u5460), _u5461)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5458, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5458, _u5459, _u5460)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5458, _u5460), _u5461)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u5458, _u5459, _u5461)) )).
% 43.37/43.63 cnf(matrix-2928, plain, ( ~class_Orderings_Olinorder(_u5462) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5462), _u5463), _u5464)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5462), _u5464), _u5465)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5462, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5462, _u5463, _u5464)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5462, _u5464, _u5465)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u5462, _u5463, _u5465)) )).
% 43.37/43.63 cnf(matrix-2929, plain, ( ~class_Orderings_Olinorder(_u5466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5466), _u5467), _u5468)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5466, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u5466), _u5467), c_Orderings_Obot__class_Obot(tc_fun(_u5466, tc_HOL_Obool)))), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5466, _u5467, _u5468)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u5466, _u5467), _u5468)) )).
% 43.37/43.63 cnf(matrix-2930, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5469)) | ( _u5469 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5470), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5469), _u5471))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5470), _u5469)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5471)) )).
% 43.37/43.63 cnf(matrix-2931, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5472)) | ( _u5472 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5473), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5472), _u5474))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5473)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5474), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2932, 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), _u5475), _u5476)), _u5477))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5477), _u5475)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5475)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5476)) )).
% 43.37/43.63 cnf(matrix-2933, 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), _u5478), _u5479)), _u5480)), 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)), _u5480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5479), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-2934, 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), _u5481), _u5482)), _u5483)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5481), _u5484)), _u5485))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5483)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5483), _u5481)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5485), _u5481)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5482), _u5484)) )).
% 43.37/43.63 cnf(matrix-2935, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5486), _u5487)), _u5488) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5489), _u5490)), _u5491)) | ~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), _u5489), _u5490)), _u5491))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5491), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5488)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5489), _u5486)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5487), _u5490)) )).
% 43.37/43.63 cnf(matrix-2936, 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), _u5492), _u5493)), _u5494)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5492), _u5495)), _u5496))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5496), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5492), _u5496)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5492), _u5494)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5495), _u5493)) )).
% 43.37/43.63 cnf(matrix-2937, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5497, _u5498))) )).
% 43.37/43.63 cnf(matrix-2938, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5499), _u5500))) )).
% 43.37/43.63 cnf(matrix-2939, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u5501, _u5502))) )).
% 43.37/43.63 cnf(matrix-2940, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u5503, _u5504))) )).
% 43.37/43.63 cnf(matrix-2941, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5505), _u5506)), _u5507) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5508), _u5509)), _u5510)) | ~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), _u5508), _u5509)), _u5510)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5507), _u5505)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5510)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5508)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5508), _u5505)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5509), _u5506)) )).
% 43.37/43.63 cnf(matrix-2942, 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)))) )).
% 43.37/43.63 cnf(matrix-2943, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5512)) | 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)), _u5512))) )).
% 43.37/43.63 cnf(matrix-2944, 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)), _u5513))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), _u5513)) )).
% 43.37/43.63 cnf(matrix-2945, 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))) )).
% 43.37/43.63 cnf(matrix-2946, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5514)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5515)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u5514), _u5515))) )).
% 43.37/43.63 cnf(matrix-2947, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5516)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5517)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u5516), _u5517))) )).
% 43.37/43.63 cnf(matrix-2948, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5520)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5522))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5520), _u5522)) )).
% 43.37/43.63 cnf(matrix-2949, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u5521), _u5523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5521)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5523))) )).
% 43.37/43.63 cnf(matrix-2950, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5526)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5528))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5526), _u5528)) )).
% 43.37/43.63 cnf(matrix-2951, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5527), _u5529)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5527)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5529))) )).
% 43.37/43.63 cnf(matrix-2952, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5532), _u5534)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5532)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5534))) )).
% 43.37/43.63 cnf(matrix-2953, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5533)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5535))) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u5533), _u5535)) )).
% 43.37/43.63 cnf(matrix-2954, plain, ( ( _u5538 != _u5540) | ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5538) = hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5540)) )).
% 43.37/43.63 cnf(matrix-2955, plain, ( ( hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5539) != hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5541)) | ( _u5539 = _u5541) )).
% 43.37/43.63 cnf(matrix-2956, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5544), _u5546)) | 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)), _u5544)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5546))) )).
% 43.37/43.63 cnf(matrix-2957, 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)), _u5545)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5547))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5545), _u5547)) )).
% 43.37/43.63 cnf(matrix-2958, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5550) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5552)) | ( _u5550 = _u5552) )).
% 43.37/43.63 cnf(matrix-2959, plain, ( ( _u5551 != _u5553) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5551) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5553)) )).
% 43.37/43.63 cnf(matrix-2960, 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))) )).
% 43.37/43.63 cnf(matrix-2961, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), _u5554) = 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)), _u5554))) )).
% 43.37/43.63 cnf(matrix-2962, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5557), _u5559)) | 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)), _u5557)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5559))) )).
% 43.37/43.63 cnf(matrix-2963, 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)), _u5558)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5560))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5558), _u5560)) )).
% 43.37/43.63 cnf(matrix-2964, 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))) )).
% 43.37/43.63 cnf(matrix-2965, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5561)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5562)) | 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), _u5561), _u5562))) )).
% 43.37/43.63 cnf(matrix-2966, 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), _u5563))) )).
% 43.37/43.63 cnf(matrix-2967, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5564)) | ~hBOOL(hAPP(_u5569, _u5564)) | hBOOL(hAPP(_u5569, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem109(_u5569)))) )).
% 43.37/43.63 cnf(matrix-2968, plain, ( ~hBOOL(hAPP(_u5570, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5566))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem110(_u5570))) )).
% 43.37/43.63 cnf(matrix-2969, plain, ( ~hBOOL(hAPP(_u5570, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5566))) | hBOOL(hAPP(_u5570, skolem110(_u5570))) )).
% 43.37/43.63 cnf(matrix-2970, plain, ( hBOOL(hAPP(_u5576, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5572))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem111(_u5576))) )).
% 43.37/43.63 cnf(matrix-2971, plain, ( hBOOL(hAPP(_u5576, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5572))) | ~hBOOL(hAPP(_u5576, skolem111(_u5576))) )).
% 43.37/43.63 cnf(matrix-2972, plain, ( ~hBOOL(hAPP(_u5577, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem112(_u5577)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5574)) | hBOOL(hAPP(_u5577, _u5574)) )).
% 43.37/43.63 cnf(matrix-2973, 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))) )).
% 43.37/43.63 cnf(matrix-2974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5578)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5578), _u5579))) )).
% 43.37/43.63 cnf(matrix-2975, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5583)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5584), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5582), _u5583))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem113(_u5585, _u5584, _u5583, _u5582)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5583))) )).
% 43.37/43.63 cnf(matrix-2976, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5583)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5584), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5582), _u5583))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem114(_u5585, _u5584, _u5583, _u5582)), _u5585)) )).
% 43.37/43.63 cnf(matrix-2977, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5583)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5584), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5585)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), _u5582)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5584), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5582), _u5583))) | ( _u5582 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem114(_u5585, _u5584, _u5583, _u5582)), skolem113(_u5585, _u5584, _u5583, _u5582))) )).
% 43.37/43.63 cnf(matrix-2978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5589)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5590), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5588), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5588), _u5589)), _u5590)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem115(_u5591, _u5590, _u5589, _u5588)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5589))) )).
% 43.37/43.63 cnf(matrix-2979, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5589)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5590), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5588), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5588), _u5589)), _u5590)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem116(_u5591, _u5590, _u5589, _u5588)), _u5591)) )).
% 43.37/43.63 cnf(matrix-2980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5589)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5590), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5591)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5588), _u5590)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5588), _u5589)), _u5590)) | ( _u5588 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem116(_u5591, _u5590, _u5589, _u5588)), skolem115(_u5591, _u5590, _u5589, _u5588))) )).
% 43.37/43.63 cnf(matrix-2981, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5594), _u5597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5594), _u5595)), _u5597)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem117(_u5597, _u5596, _u5595, _u5594)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5595))) )).
% 43.37/43.63 cnf(matrix-2982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5594), _u5597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5594), _u5595)), _u5597)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem118(_u5597, _u5596, _u5595, _u5594)), _u5596)) )).
% 43.37/43.63 cnf(matrix-2983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5595)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5594), _u5597)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5594), _u5595)), _u5597)) | ( _u5594 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem118(_u5597, _u5596, _u5595, _u5594)), skolem117(_u5597, _u5596, _u5595, _u5594))) )).
% 43.37/43.63 cnf(matrix-2984, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5600), _u5601))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem119(_u5603, _u5602, _u5601, _u5600)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5601))) )).
% 43.37/43.63 cnf(matrix-2985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5600), _u5601))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem120(_u5603, _u5602, _u5601, _u5600)), _u5602)) )).
% 43.37/43.63 cnf(matrix-2986, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5601)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), _u5600)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5603), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5600), _u5601))) | ( _u5600 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem120(_u5603, _u5602, _u5601, _u5600)), skolem119(_u5603, _u5602, _u5601, _u5600))) )).
% 43.37/43.63 cnf(matrix-2987, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u5611, _u5610)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.37/43.63 cnf(matrix-2988, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u5611, _u5610)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.37/43.63 cnf(matrix-2989, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(_u5611, skolem125(_u5611, _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.37/43.63 cnf(matrix-2990, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(_u5611, skolem125(_u5611, _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.37/43.63 cnf(matrix-2991, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u5611, _u5610)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.37/43.63 cnf(matrix-2992, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem125(_u5611, _u5610)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.37/43.63 cnf(matrix-2993, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(_u5611, skolem125(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.37/43.63 cnf(matrix-2994, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(_u5611, _u5606)) | hBOOL(hAPP(_u5611, skolem125(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.37/43.63 cnf(matrix-2995, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5608), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, _u5608)) | hBOOL(hAPP(_u5611, skolem126(_u5611, _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.37/43.63 cnf(matrix-2996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5608), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, _u5608)) | hBOOL(hAPP(_u5611, skolem126(_u5611, _u5610))) | hBOOL(hAPP(_u5611, skolem121(_u5611, _u5610))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.37/43.63 cnf(matrix-2997, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5608), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, _u5608)) | hBOOL(hAPP(_u5611, skolem126(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | ~hBOOL(hAPP(_u5611, skolem123(_u5611, _u5610))) )).
% 43.37/43.63 cnf(matrix-2998, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5610)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5608), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5610))) | ~hBOOL(hAPP(_u5611, _u5608)) | hBOOL(hAPP(_u5611, skolem126(_u5611, _u5610))) | ~hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem121(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem122(_u5611, _u5610)), _u5610)))) | hBOOL(hAPP(_u5611, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem123(_u5611, _u5610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), skolem124(_u5611, _u5610)), _u5610)))) )).
% 43.37/43.63 cnf(matrix-2999, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5618)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5620)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), _u5618) = _u5619) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem127(_u5620, _u5619, _u5618)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5618))) )).
% 43.37/43.63 cnf(matrix-3000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5618)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5620)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), _u5618) = _u5619) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem128(_u5620, _u5619, _u5618)), _u5620)) )).
% 43.37/43.63 cnf(matrix-3001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5618)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5620)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5619), _u5618) = _u5619) | ( _u5619 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem128(_u5620, _u5619, _u5618)), skolem127(_u5620, _u5619, _u5618))) )).
% 43.37/43.63 cnf(matrix-3002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5624)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5625), _u5626)) | ( _u5623 = _u5625) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5623), _u5624) != _u5625) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem129(_u5626, _u5625, _u5624, _u5623)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5624))) )).
% 43.37/43.63 cnf(matrix-3003, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5624)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5625), _u5626)) | ( _u5623 = _u5625) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5623), _u5624) != _u5625) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem130(_u5626, _u5625, _u5624, _u5623)), _u5626)) )).
% 43.37/43.63 cnf(matrix-3004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5624)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5625), _u5626)) | ( _u5623 = _u5625) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5623), _u5624) != _u5625) | ( _u5623 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem130(_u5626, _u5625, _u5624, _u5623)), skolem129(_u5626, _u5625, _u5624, _u5623))) )).
% 43.37/43.63 cnf(matrix-3005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5630)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5631), _u5632)) | ( _u5629 = _u5631) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5629), _u5630) != _u5631) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem131(_u5632, _u5631, _u5630, _u5629)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5630))) )).
% 43.37/43.63 cnf(matrix-3006, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5630)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5631), _u5632)) | ( _u5629 = _u5631) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5629), _u5630) != _u5631) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem132(_u5632, _u5631, _u5630, _u5629)), _u5632)) )).
% 43.37/43.63 cnf(matrix-3007, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5630)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5631), _u5632)) | ( _u5629 = _u5631) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5629), _u5630) != _u5631) | ( _u5629 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem132(_u5632, _u5631, _u5630, _u5629)), skolem131(_u5632, _u5631, _u5630, _u5629))) )).
% 43.37/43.63 cnf(matrix-3008, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5636)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5637), _u5638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), _u5635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5635), _u5636))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem133(_u5638, _u5637, _u5636, _u5635)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5636))) )).
% 43.37/43.63 cnf(matrix-3009, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5636)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5637), _u5638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), _u5635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5635), _u5636))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem134(_u5638, _u5637, _u5636, _u5635)), _u5638)) )).
% 43.37/43.63 cnf(matrix-3010, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5636)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5637), _u5638)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), _u5635)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5637), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5635), _u5636))) | ( _u5635 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem134(_u5638, _u5637, _u5636, _u5635)), skolem133(_u5638, _u5637, _u5636, _u5635))) )).
% 43.37/43.63 cnf(matrix-3011, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5642)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5643), _u5644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5641), _u5643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5641), _u5642)), _u5643)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem135(_u5644, _u5643, _u5642, _u5641)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5642))) )).
% 43.37/43.63 cnf(matrix-3012, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5642)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5643), _u5644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5641), _u5643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5641), _u5642)), _u5643)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem136(_u5644, _u5643, _u5642, _u5641)), _u5644)) )).
% 43.37/43.63 cnf(matrix-3013, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5642)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5643), _u5644)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5641), _u5643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5641), _u5642)), _u5643)) | ( _u5641 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem136(_u5644, _u5643, _u5642, _u5641)), skolem135(_u5644, _u5643, _u5642, _u5641))) )).
% 43.37/43.63 cnf(matrix-3014, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5647)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5649)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), _u5647) = _u5648) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem137(_u5649, _u5648, _u5647)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5647))) )).
% 43.37/43.63 cnf(matrix-3015, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5647)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5649)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), _u5647) = _u5648) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem138(_u5649, _u5648, _u5647)), _u5649)) )).
% 43.37/43.63 cnf(matrix-3016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5647)) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5649)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5648), _u5647) = _u5648) | ( _u5648 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem138(_u5649, _u5648, _u5647)), skolem137(_u5649, _u5648, _u5647))) )).
% 43.37/43.63 cnf(matrix-3017, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), _u5652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5652), _u5653))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem139(_u5655, _u5654, _u5653, _u5652)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5653))) )).
% 43.37/43.63 cnf(matrix-3018, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), _u5652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5652), _u5653))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem140(_u5655, _u5654, _u5653, _u5652)), _u5654)) )).
% 43.37/43.63 cnf(matrix-3019, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5653)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), _u5652)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5655), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5652), _u5653))) | ( _u5652 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem140(_u5655, _u5654, _u5653, _u5652)), skolem139(_u5655, _u5654, _u5653, _u5652))) )).
% 43.37/43.63 cnf(matrix-3020, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5658), _u5661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5658), _u5659)), _u5661)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem141(_u5661, _u5660, _u5659, _u5658)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, c_Groups_Oone__class_Oone(tc_Int_Oint), _u5659))) )).
% 43.37/43.63 cnf(matrix-3021, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5658), _u5661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5658), _u5659)), _u5661)) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem142(_u5661, _u5660, _u5659, _u5658)), _u5660)) )).
% 43.37/43.63 cnf(matrix-3022, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5659)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5658), _u5661)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5658), _u5659)), _u5661)) | ( _u5658 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem142(_u5661, _u5660, _u5659, _u5658)), skolem141(_u5661, _u5660, _u5659, _u5658))) )).
% 43.37/43.63 cnf(matrix-3023, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5664), _u5666)) | ( c_Nat__Transfer_Otsub(_u5666, _u5664) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5666), _u5664)) )).
% 43.37/43.63 cnf(matrix-3024, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5665), _u5667)) | ( c_Nat__Transfer_Otsub(_u5667, _u5665) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-3025, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5668)) | ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5668) = 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, _u5668)))) )).
% 43.37/43.63 cnf(matrix-3026, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u5670, skolem143(_u5672, _u5671, _u5670))), hAPP(_u5671, skolem143(_u5672, _u5671, _u5670)))) | ( 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), _u5671), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5672))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, tc_Nat_Onat), _u5670), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5672))) = 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)), _u5671)), _u5670)), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u5672))) )).
% 43.37/43.63 cnf(matrix-3027, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5677)) | ~hBOOL(hAPP(_u5676, _u5674)) | hBOOL(hAPP(_u5676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5677), _u5675)))) | hBOOL(hAPP(_u5676, skolem144(_u5677, _u5676, _u5675))) )).
% 43.37/43.63 cnf(matrix-3028, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5675)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5677)) | ~hBOOL(hAPP(_u5676, _u5674)) | hBOOL(hAPP(_u5676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5674), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5677), _u5675)))) | ~hBOOL(hAPP(_u5676, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), skolem144(_u5677, _u5676, _u5675)), _u5675))) )).
% 43.37/43.63 cnf(matrix-3029, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5680)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5682)) | ~hBOOL(hAPP(_u5681, _u5679)) | hBOOL(hAPP(_u5681, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5682), _u5680)))) | hBOOL(hAPP(_u5681, skolem145(_u5682, _u5681, _u5680))) )).
% 43.37/43.63 cnf(matrix-3030, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5680)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5682)) | ~hBOOL(hAPP(_u5681, _u5679)) | hBOOL(hAPP(_u5681, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5679), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5682), _u5680)))) | ~hBOOL(hAPP(_u5681, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem145(_u5682, _u5681, _u5680)), _u5680))) )).
% 43.37/43.63 cnf(matrix-3031, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5683)) = _u5683) )).
% 43.37/43.63 cnf(matrix-3032, plain, ( ( hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-3033, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-3034, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5684)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5685)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5684)), hAPP(c_Int_Onat, _u5685)) = hAPP(c_Int_Onat, c_Nat__Transfer_Otsub(_u5684, _u5685))) )).
% 43.37/43.63 cnf(matrix-3035, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5687)) | ( hAPP(c_Int_Onat, _u5686) != hAPP(c_Int_Onat, _u5687)) | ( _u5686 = _u5687) )).
% 43.37/43.63 cnf(matrix-3036, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5686)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5687)) | ( _u5686 != _u5687) | ( hAPP(c_Int_Onat, _u5686) = hAPP(c_Int_Onat, _u5687)) )).
% 43.37/43.63 cnf(matrix-3037, plain, ( ~hBOOL(hAPP(_u5693, _u5688)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem146(_u5693))) )).
% 43.37/43.63 cnf(matrix-3038, plain, ( ~hBOOL(hAPP(_u5693, _u5688)) | hBOOL(hAPP(_u5693, hAPP(c_Int_Onat, skolem146(_u5693)))) )).
% 43.37/43.63 cnf(matrix-3039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5690)) | ~hBOOL(hAPP(_u5694, hAPP(c_Int_Onat, _u5690))) | hBOOL(hAPP(_u5694, skolem147(_u5694))) )).
% 43.37/43.63 cnf(matrix-3040, plain, ( ~hBOOL(hAPP(_u5700, skolem148(_u5700))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5696)) | hBOOL(hAPP(_u5700, hAPP(c_Int_Onat, _u5696))) )).
% 43.37/43.63 cnf(matrix-3041, plain, ( hBOOL(hAPP(_u5701, _u5698)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem149(_u5701))) )).
% 43.37/43.63 cnf(matrix-3042, plain, ( hBOOL(hAPP(_u5701, _u5698)) | ~hBOOL(hAPP(_u5701, hAPP(c_Int_Onat, skolem149(_u5701)))) )).
% 43.37/43.63 cnf(matrix-3043, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5703)) | ( hAPP(c_Int_Onat, _u5702) != hAPP(c_Int_Onat, _u5703)) | ( _u5702 = _u5703) )).
% 43.37/43.63 cnf(matrix-3044, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5703)) | ( _u5702 != _u5703) | ( hAPP(c_Int_Onat, _u5702) = hAPP(c_Int_Onat, _u5703)) )).
% 43.37/43.63 cnf(matrix-3045, plain, ( ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-3046, 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)), _u5704)) = _u5704) )).
% 43.37/43.63 cnf(matrix-3047, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5705), _u5706) = 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)), _u5705)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5706)))) )).
% 43.37/43.63 cnf(matrix-3048, 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)))) )).
% 43.37/43.63 cnf(matrix-3049, plain, ( ( hAPP(c_Int_Onat, _u5708) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5708), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-3050, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5709), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u5709) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-3051, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5710), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, _u5710) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-3052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5712)), hAPP(c_Int_Onat, _u5711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5712), _u5711)) )).
% 43.37/43.63 cnf(matrix-3053, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5711)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5712), _u5711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5712)), hAPP(c_Int_Onat, _u5711))) )).
% 43.37/43.63 cnf(matrix-3054, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5715)), hAPP(c_Int_Onat, _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5717)) )).
% 43.37/43.63 cnf(matrix-3055, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5715)), hAPP(c_Int_Onat, _u5717))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5715), _u5717)) )).
% 43.37/43.63 cnf(matrix-3056, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5716), _u5718)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5716)), hAPP(c_Int_Onat, _u5718))) )).
% 43.37/43.63 cnf(matrix-3057, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5719)), hAPP(c_Int_Onat, _u5720))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5719), _u5720)) )).
% 43.37/43.63 cnf(matrix-3058, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5719)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5720)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5719), _u5720)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5719)), hAPP(c_Int_Onat, _u5720))) )).
% 43.37/43.63 cnf(matrix-3059, 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))) )).
% 43.37/43.63 cnf(matrix-3060, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5722)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u5722)) = _u5722) )).
% 43.37/43.63 cnf(matrix-3061, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5723)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u5723)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-3062, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5726) != _u5728) | ( _u5726 = hAPP(c_Int_Onat, _u5728)) )).
% 43.37/43.63 cnf(matrix-3063, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5726) != _u5728) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5728)) )).
% 43.37/43.63 cnf(matrix-3064, plain, ( ( _u5727 != hAPP(c_Int_Onat, _u5729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5729)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5727) = _u5729) )).
% 43.37/43.63 cnf(matrix-3065, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5730)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u5730)) = _u5730) )).
% 43.37/43.63 cnf(matrix-3066, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5733), hAPP(c_Int_Onat, _u5735))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5733)), _u5735)) )).
% 43.37/43.63 cnf(matrix-3067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5734)), _u5736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u5734), hAPP(c_Int_Onat, _u5736))) )).
% 43.37/43.63 cnf(matrix-3068, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u5737, _u5738) = 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), _u5737), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5738)))) )).
% 43.37/43.63 cnf(matrix-3069, plain, ( ~class_Groups_Ocomm__monoid__add(_u5739) | ~class_Groups_Ocomm__monoid__mult(_u5739) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5739), _u5740), _u5741) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5739), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u5739, tc_Int_Oint), _u5740), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5741))) )).
% 43.37/43.63 cnf(matrix-3070, 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)), _u5742)) = hAPP(c_Int_Onat, _u5742)) )).
% 43.37/43.63 cnf(matrix-3071, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u5743), _u5744)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5744), _u5743))) )).
% 43.37/43.63 cnf(matrix-3072, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u5746))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5746)) )).
% 43.37/43.63 cnf(matrix-3073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5747)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(c_Int_Onat, _u5747))) )).
% 43.37/43.63 cnf(matrix-3074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5748)), hAPP(c_Int_Onat, _u5749))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5748), _u5749)) )).
% 43.37/43.63 cnf(matrix-3075, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5748)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5748), _u5749)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5748)), hAPP(c_Int_Onat, _u5749))) )).
% 43.37/43.63 cnf(matrix-3076, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5750)), hAPP(c_Int_Onat, _u5751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5750), _u5751)) )).
% 43.37/43.63 cnf(matrix-3077, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5750)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5751)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5750), _u5751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5750)), hAPP(c_Int_Onat, _u5751))) )).
% 43.37/43.63 cnf(matrix-3078, plain, ( ( hAPP(c_Int_Onat, _u5754) != _u5756) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5754)) | ( _u5754 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5756)) )).
% 43.37/43.63 cnf(matrix-3079, plain, ( ( hAPP(c_Int_Onat, _u5754) != _u5756) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5754)) | ( _u5756 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-3080, plain, ( ( hAPP(c_Int_Onat, _u5755) = _u5757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5755)) | ( _u5757 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-3081, plain, ( ( hAPP(c_Int_Onat, _u5755) = _u5757) | ( _u5755 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5757)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5755)) )).
% 43.37/43.63 cnf(matrix-3082, plain, ( ( hAPP(c_Int_Onat, _u5755) = _u5757) | ( _u5755 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5757)) | ( _u5757 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-3083, plain, ( ( _u5760 != hAPP(c_Int_Onat, _u5762)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5762)) | ( _u5762 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5760)) )).
% 43.37/43.63 cnf(matrix-3084, plain, ( ( _u5760 != hAPP(c_Int_Onat, _u5762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5762)) | ( _u5760 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-3085, plain, ( ( _u5761 = hAPP(c_Int_Onat, _u5763)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5763)) | ( _u5761 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-3086, plain, ( ( _u5761 = hAPP(c_Int_Onat, _u5763)) | ( _u5763 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5763)) )).
% 43.37/43.63 cnf(matrix-3087, plain, ( ( _u5761 = hAPP(c_Int_Onat, _u5763)) | ( _u5763 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5761)) | ( _u5761 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.37/43.63 cnf(matrix-3088, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5764)), hAPP(c_Int_Onat, _u5765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5764), _u5765)) )).
% 43.37/43.63 cnf(matrix-3089, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5764)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5764), _u5765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5764)), hAPP(c_Int_Onat, _u5765))) )).
% 43.37/43.63 cnf(matrix-3090, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5764)), hAPP(c_Int_Onat, _u5765))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5764), _u5765)) )).
% 43.37/43.63 cnf(matrix-3091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5765)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5764), _u5765)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onat, _u5764)), hAPP(c_Int_Onat, _u5765))) )).
% 43.37/43.63 cnf(matrix-3092, plain, ( ~hBOOL(hAPP(_u5770, hAPP(c_Int_Onat, _u5772))) | ( _u5772 != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5766)) | hBOOL(hAPP(_u5770, _u5766)) )).
% 43.37/43.63 cnf(matrix-3093, plain, ( ~hBOOL(hAPP(_u5770, hAPP(c_Int_Onat, _u5772))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5772), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(_u5770, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.63 cnf(matrix-3094, plain, ( hBOOL(hAPP(_u5771, hAPP(c_Int_Onat, _u5773))) | ( _u5773 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem150(_u5773, _u5771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5773), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-3095, plain, ( hBOOL(hAPP(_u5771, hAPP(c_Int_Onat, _u5773))) | ( _u5773 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem150(_u5773, _u5771))) | ~hBOOL(hAPP(_u5771, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.63 cnf(matrix-3096, plain, ( hBOOL(hAPP(_u5771, hAPP(c_Int_Onat, _u5773))) | ~hBOOL(hAPP(_u5771, skolem150(_u5773, _u5771))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5773), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.37/43.63 cnf(matrix-3097, plain, ( hBOOL(hAPP(_u5771, hAPP(c_Int_Onat, _u5773))) | ~hBOOL(hAPP(_u5771, skolem150(_u5773, _u5771))) | ~hBOOL(hAPP(_u5771, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.37/43.63 cnf(matrix-3098, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5774)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5775)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5774), _u5775)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5774)), hAPP(c_Int_Onat, _u5775))) )).
% 43.37/43.63 cnf(matrix-3099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5776)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5777)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5776)), hAPP(c_Int_Onat, _u5777)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5776), _u5777))) )).
% 43.37/43.63 cnf(matrix-3100, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5778)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5778), _u5779)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u5778)), hAPP(c_Int_Onat, _u5779))) )).
% 43.37/43.63 cnf(matrix-3101, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5780)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5781)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, _u5780)), hAPP(c_Int_Onat, _u5781)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5780), _u5781))) )).
% 43.37/43.63 cnf(matrix-3102, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u5782), _u5783) = 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)), _u5782)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5783)))) )).
% 43.37/43.63 cnf(matrix-3103, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5784)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5784), _u5785)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5785), _u5784)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5785)), hAPP(c_Int_Onat, _u5784))) )).
% 43.37/43.63 cnf(matrix-3104, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5786, tc_Nat_Onat), _u5787), _u5788) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5786, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u5786), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u5787)), _u5788))) )).
% 43.37/43.63 cnf(matrix-3105, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u5789, _u5790)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5790), _u5789))) )).
% 43.37/43.63 cnf(matrix-3106, 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, _u5792))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5792)) )).
% 43.37/43.63 cnf(matrix-3107, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5793)) | 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, _u5793))) )).
% 43.37/43.63 cnf(matrix-3108, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5794)), _u5795)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5794), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5795))) )).
% 43.37/43.63 cnf(matrix-3109, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5794), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5795))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onat, _u5794)), _u5795)) )).
% 43.37/43.63 cnf(matrix-3110, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5796)) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onat, _u5796)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u5796))) )).
% 43.37/43.63 cnf(matrix-3111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5797)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5798)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), c_Nat__Transfer_Otsub(_u5797, _u5798))) )).
% 43.37/43.63 cnf(matrix-3112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u5799), _u5800)) | ( c_Nat__Transfer_Otsub(_u5800, _u5799) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5800), _u5799)) )).
% 43.37/43.63 cnf(matrix-3113, plain, ( ( c_Nat__Transfer_Otsub(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5801), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5802)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u5801), _u5802))) )).
% 43.37/43.63 cnf(matrix-3114, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5803, _u5804)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5804), _u5803)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.37/43.63 cnf(matrix-3115, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u5805, _u5806)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5806), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5805), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.37/43.63 cnf(matrix-3116, plain, ( ( c_Int_Onat__aux(_u5807, _u5808) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onat, _u5807)), _u5808)) )).
% 43.37/43.63 cnf(matrix-3117, 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))) )).
% 43.37/43.63 cnf(matrix-3118, plain, ( ~c_Nat__Transfer_Ois__nat(_u5809) | ~c_Nat__Transfer_Ois__nat(_u5810) | ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5809, _u5810) = 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, _u5809), hAPP(c_Int_Onat, _u5810)))) )).
% 43.37/43.63 cnf(matrix-3119, plain, ( ~c_Nat__Transfer_Onat__set(_u5811) | ~c_Nat__Transfer_Onat__set(_u5812) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5811), _u5812) = 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), _u5811)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5812)))) )).
% 43.37/43.63 cnf(matrix-3120, plain, ( ~c_Nat__Transfer_Onat__set(_u5813) | ~c_Nat__Transfer_Onat__set(_u5814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5813), _u5814)) | 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), _u5813)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5814))) )).
% 43.37/43.63 cnf(matrix-3121, plain, ( ~c_Nat__Transfer_Onat__set(_u5813) | ~c_Nat__Transfer_Onat__set(_u5814) | ~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), _u5813)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5813), _u5814)) )).
% 43.37/43.63 cnf(matrix-3122, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem151(_u5816))) )).
% 43.37/43.63 cnf(matrix-3123, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5816)) | ( _u5816 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), skolem151(_u5816))) )).
% 43.37/43.63 cnf(matrix-3124, plain, ( ~c_Nat__Transfer_Onat__set(_u5817) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5818), _u5817)) | c_Nat__Transfer_Ois__nat(_u5818) )).
% 43.37/43.63 cnf(matrix-3125, plain, ( ~c_Nat__Transfer_Ois__nat(_u5819) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5819, _u5820)) )).
% 43.37/43.63 cnf(matrix-3126, plain, ( ~c_Nat__Transfer_Onat__set(_u5821) | ~c_Nat__Transfer_Onat__set(_u5822) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5821), _u5822)) )).
% 43.37/43.63 cnf(matrix-3127, plain, ( ~c_Nat__Transfer_Onat__set(_u5823) | ~c_Nat__Transfer_Onat__set(_u5824) | c_Nat__Transfer_Onat__set(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5823), _u5824)) )).
% 43.37/43.63 cnf(matrix-3128, plain, ( ~c_Nat__Transfer_Onat__set(_u5825) | ~c_Nat__Transfer_Onat__set(_u5826) | ( _u5825 != _u5826) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5825) = hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5826)) )).
% 43.37/43.63 cnf(matrix-3129, plain, ( ~c_Nat__Transfer_Onat__set(_u5825) | ~c_Nat__Transfer_Onat__set(_u5826) | ( hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5825) != hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5826)) | ( _u5825 = _u5826) )).
% 43.37/43.63 cnf(matrix-3130, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-3131, plain, ( ~c_Nat__Transfer_Ois__nat(_u5827) | ~c_Nat__Transfer_Ois__nat(_u5828) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5827), _u5828)) )).
% 43.37/43.63 cnf(matrix-3132, plain, ( c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5829)) )).
% 43.37/43.63 cnf(matrix-3133, plain, ( c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-3134, plain, ( ~c_Nat__Transfer_Ois__nat(_u5830) | ~c_Nat__Transfer_Ois__nat(_u5831) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5830), _u5831)) )).
% 43.37/43.63 cnf(matrix-3135, plain, ( ~c_Nat__Transfer_Ois__nat(_u5832) | ~c_Nat__Transfer_Ois__nat(_u5833) | c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(_u5832, _u5833)) )).
% 43.37/43.63 cnf(matrix-3136, plain, ( ~c_Nat__Transfer_Ois__nat(_u5834) | ~c_Nat__Transfer_Onat__set(_u5835) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5834), _u5835)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u5834)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5835))) )).
% 43.37/43.63 cnf(matrix-3137, plain, ( ~c_Nat__Transfer_Ois__nat(_u5834) | ~c_Nat__Transfer_Onat__set(_u5835) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Int_Onat, _u5834)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5835))) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5834), _u5835)) )).
% 43.37/43.63 cnf(matrix-3138, plain, ( c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint, tc_HOL_Obool))) )).
% 43.37/43.63 cnf(matrix-3139, plain, ( ~c_Nat__Transfer_Onat__set(_u5839) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5836), _u5839)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5836)) )).
% 43.37/43.63 cnf(matrix-3140, plain, ( c_Nat__Transfer_Onat__set(_u5840) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem152(_u5840)), _u5840)) )).
% 43.37/43.63 cnf(matrix-3141, plain, ( c_Nat__Transfer_Onat__set(_u5840) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem152(_u5840))) )).
% 43.37/43.63 cnf(matrix-3142, plain, ( ~c_Nat__Transfer_Ois__nat(_u5842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5842)) )).
% 43.37/43.63 cnf(matrix-3143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5843)) | c_Nat__Transfer_Ois__nat(_u5843) )).
% 43.37/43.63 cnf(matrix-3144, 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)), _u5844)) )).
% 43.37/43.63 cnf(matrix-3145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5845)) | c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u5845, _u5846)) )).
% 43.37/43.63 cnf(matrix-3146, plain, ( ~c_Nat__Transfer_Onat__set(_u5847) | ~c_Nat__Transfer_Onat__set(_u5848) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5847), _u5848) = 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), _u5847)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5848)))) )).
% 43.37/43.63 cnf(matrix-3147, plain, ( ~c_Nat__Transfer_Onat__set(_u5849) | ( 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), _u5849)) = _u5849) )).
% 43.37/43.63 cnf(matrix-3148, plain, ( ~c_Nat__Transfer_Onat__set(_u5850) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u5851), _u5850)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5851)) )).
% 43.37/43.63 cnf(matrix-3149, plain, ( ~class_Groups_Ocomm__monoid__add(_u5852) | ~class_Groups_Ocomm__monoid__mult(_u5852) | ~c_Nat__Transfer_Onat__set(_u5853) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5852), _u5854), _u5853) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5852), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u5852, tc_Nat_Onat), _u5854), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5853))) )).
% 43.37/43.63 cnf(matrix-3150, plain, ( ~c_Nat__Transfer_Onat__set(_u5855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u5855)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5855))) )).
% 43.37/43.63 cnf(matrix-3151, plain, ( ~c_Nat__Transfer_Onat__set(_u5855) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5855))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), _u5855)) )).
% 43.37/43.63 cnf(matrix-3152, plain, ( ~c_Nat__Transfer_Onat__set(_u5856) | ( hAPP(c_Finite__Set_Ocard(tc_Int_Oint), _u5856) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5856))) )).
% 43.37/43.63 cnf(matrix-3153, plain, ( ~c_Nat__Transfer_Onat__set(_u5857) | ~c_Nat__Transfer_Onat__set(_u5858) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5857), _u5858)) | 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), _u5857)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5858))) )).
% 43.37/43.63 cnf(matrix-3154, plain, ( ~c_Nat__Transfer_Onat__set(_u5857) | ~c_Nat__Transfer_Onat__set(_u5858) | ~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), _u5857)), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u5858))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint, tc_HOL_Obool)), _u5857), _u5858)) )).
% 43.37/43.63 cnf(matrix-3155, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5860, tc_Int_Oint), _u5862), _u5861) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5860, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u5860), c_Int_Onat), _u5862)), _u5861))) | hBOOL(hAPP(hAPP(c_member(_u5860), skolem153(_u5862, _u5861, _u5860)), _u5861)) )).
% 43.37/43.63 cnf(matrix-3156, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5860, tc_Int_Oint), _u5862), _u5861) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5860, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u5860), c_Int_Onat), _u5862)), _u5861))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u5862, skolem153(_u5862, _u5861, _u5860))) )).
% 43.37/43.63 cnf(matrix-3157, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5863) = 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), _u5863)))) )).
% 43.37/43.63 cnf(matrix-3158, plain, ( ~class_Orderings_Olinorder(_u5864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5864), _u5865), _u5866)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5864, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5864), _u5865)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5864, _u5865, _u5866)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u5864), _u5866)) )).
% 43.37/43.63 cnf(matrix-3159, plain, ( ~class_Orderings_Olinorder(_u5867) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5867), _u5868), _u5869)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5867, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5867), _u5868)), c_SetInterval_Oord__class_OatLeastAtMost(_u5867, _u5868, _u5869)) = hAPP(c_SetInterval_Oord__class_OatMost(_u5867), _u5869)) )).
% 43.37/43.63 cnf(matrix-3160, plain, ( ~class_Orderings_Olinorder(_u5870) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5870, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u5870), _u5871)), hAPP(hAPP(c_Set_Oinsert(_u5870), _u5871), c_Orderings_Obot__class_Obot(tc_fun(_u5870, tc_HOL_Obool)))) = hAPP(c_SetInterval_Oord__class_OatMost(_u5870), _u5871)) )).
% 43.37/43.63 cnf(matrix-3161, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u5873), 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), _u5873), _u5874))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5872))), _u5874)) )).
% 43.37/43.63 cnf(matrix-3162, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5875))) )).
% 43.37/43.63 cnf(matrix-3163, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5876) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5876), hAPP(c_Groups_Oabs__class_Oabs(_u5876), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5877, _u5876), _u5878), _u5879))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5877, _u5876), hAPP(hAPP(c_COMBB(_u5876, _u5876, _u5877), c_Groups_Oabs__class_Oabs(_u5876)), _u5878)), _u5879))) )).
% 43.37/43.63 cnf(matrix-3164, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5880) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5880), c_Groups_Ozero__class_Ozero(_u5880)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5881, _u5880), hAPP(hAPP(c_COMBB(_u5880, _u5880, _u5881), c_Groups_Oabs__class_Oabs(_u5880)), _u5882)), _u5883))) )).
% 43.37/43.63 cnf(matrix-3165, plain, ( ~class_Orderings_Olinorder(_u5884) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u5884), _u5885) != hAPP(c_SetInterval_Oord__class_OatMost(_u5884), _u5886)) | ( _u5885 = _u5886) )).
% 43.37/43.63 cnf(matrix-3166, plain, ( ~class_Orderings_Olinorder(_u5884) | ( _u5885 != _u5886) | ( hAPP(c_SetInterval_Oord__class_OatMost(_u5884), _u5885) = hAPP(c_SetInterval_Oord__class_OatMost(_u5884), _u5886)) )).
% 43.37/43.63 cnf(matrix-3167, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5887) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5887), hAPP(c_Groups_Oabs__class_Oabs(_u5887), _u5888)) = hAPP(c_Groups_Oabs__class_Oabs(_u5887), _u5888)) )).
% 43.37/43.63 cnf(matrix-3168, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5889) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5889), hAPP(c_Groups_Oabs__class_Oabs(_u5889), _u5890)), _u5891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5889), _u5890), _u5891)) )).
% 43.37/43.63 cnf(matrix-3169, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5892) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5892), _u5893), hAPP(c_Groups_Oabs__class_Oabs(_u5892), _u5893))) )).
% 43.37/43.63 cnf(matrix-3170, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5894) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5894), c_Groups_Ozero__class_Ozero(_u5894)) = c_Groups_Ozero__class_Ozero(_u5894)) )).
% 43.37/43.63 cnf(matrix-3171, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5895) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5895), _u5896) != c_Groups_Ozero__class_Ozero(_u5895)) | ( _u5896 = c_Groups_Ozero__class_Ozero(_u5895)) )).
% 43.37/43.63 cnf(matrix-3172, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5895) | ( _u5896 != c_Groups_Ozero__class_Ozero(_u5895)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5895), _u5896) = c_Groups_Ozero__class_Ozero(_u5895)) )).
% 43.37/43.63 cnf(matrix-3173, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5897) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5897), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5897), hAPP(c_Groups_Oabs__class_Oabs(_u5897), _u5898)), hAPP(c_Groups_Oabs__class_Oabs(_u5897), _u5899))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5897), hAPP(c_Groups_Oabs__class_Oabs(_u5897), _u5898)), hAPP(c_Groups_Oabs__class_Oabs(_u5897), _u5899))) )).
% 43.37/43.63 cnf(matrix-3174, plain, ( ~class_Rings_Olinordered__idom(_u5900) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5900), hAPP(c_Groups_Oabs__class_Oabs(_u5900), _u5901)), hAPP(c_Groups_Oabs__class_Oabs(_u5900), _u5901)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5900), _u5901), _u5901)) )).
% 43.37/43.63 cnf(matrix-3175, plain, ( ~class_Rings_Olinordered__idom(_u5902) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5902), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5902), _u5903), _u5904)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5902), hAPP(c_Groups_Oabs__class_Oabs(_u5902), _u5903)), hAPP(c_Groups_Oabs__class_Oabs(_u5902), _u5904))) )).
% 43.37/43.63 cnf(matrix-3176, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5905) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5905), _u5906), _u5907)) = hAPP(c_Groups_Oabs__class_Oabs(_u5905), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5905), _u5907), _u5906))) )).
% 43.37/43.63 cnf(matrix-3177, plain, ( ~class_Rings_Olinordered__idom(_u5908) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5908), c_Groups_Oone__class_Oone(_u5908)) = c_Groups_Oone__class_Oone(_u5908)) )).
% 43.37/43.63 cnf(matrix-3178, plain, ( ~class_Rings_Olinordered__idom(_u5909) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5909), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5909), _u5910)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u5909), _u5910)) )).
% 43.37/43.63 cnf(matrix-3179, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5911)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u5911)) )).
% 43.37/43.63 cnf(matrix-3180, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5912) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5912), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5913, _u5912), hAPP(hAPP(c_COMBB(_u5912, _u5912, _u5913), c_Groups_Oabs__class_Oabs(_u5912)), _u5914)), _u5915)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u5913, _u5912), hAPP(hAPP(c_COMBB(_u5912, _u5912, _u5913), c_Groups_Oabs__class_Oabs(_u5912)), _u5914)), _u5915)) )).
% 43.37/43.63 cnf(matrix-3181, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5916) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5916), c_Groups_Ozero__class_Ozero(_u5916)), hAPP(c_Groups_Oabs__class_Oabs(_u5916), _u5917))) )).
% 43.37/43.63 cnf(matrix-3182, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5918) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5918), hAPP(c_Groups_Oabs__class_Oabs(_u5918), _u5919)), c_Groups_Ozero__class_Ozero(_u5918))) | ( _u5919 = c_Groups_Ozero__class_Ozero(_u5918)) )).
% 43.37/43.63 cnf(matrix-3183, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5918) | ( _u5919 != c_Groups_Ozero__class_Ozero(_u5918)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5918), hAPP(c_Groups_Oabs__class_Oabs(_u5918), _u5919)), c_Groups_Ozero__class_Ozero(_u5918))) )).
% 43.37/43.63 cnf(matrix-3184, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5920) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5920), c_Groups_Ozero__class_Ozero(_u5920)), _u5921)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5920), _u5921) = _u5921) )).
% 43.37/43.63 cnf(matrix-3185, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5922) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5922), hAPP(c_Groups_Oabs__class_Oabs(_u5922), _u5923)), c_Groups_Ozero__class_Ozero(_u5922))) )).
% 43.37/43.63 cnf(matrix-3186, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5924) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5924), c_Groups_Ozero__class_Ozero(_u5924)), hAPP(c_Groups_Oabs__class_Oabs(_u5924), _u5925))) | ( _u5925 != c_Groups_Ozero__class_Ozero(_u5924)) )).
% 43.37/43.63 cnf(matrix-3187, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5924) | ( _u5925 = c_Groups_Ozero__class_Ozero(_u5924)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5924), c_Groups_Ozero__class_Ozero(_u5924)), hAPP(c_Groups_Oabs__class_Oabs(_u5924), _u5925))) )).
% 43.37/43.63 cnf(matrix-3188, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5926) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5926), c_Groups_Ozero__class_Ozero(_u5926)), _u5927)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5926), _u5927) = _u5927) )).
% 43.37/43.63 cnf(matrix-3189, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5928) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5928), hAPP(c_Groups_Oabs__class_Oabs(_u5928), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5928), _u5929), _u5930))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5928), hAPP(c_Groups_Oabs__class_Oabs(_u5928), _u5929)), hAPP(c_Groups_Oabs__class_Oabs(_u5928), _u5930)))) )).
% 43.37/43.63 cnf(matrix-3190, plain, ( ~class_Rings_Olinordered__idom(_u5931) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5931), hAPP(c_Groups_Oabs__class_Oabs(_u5931), _u5932)), _u5933)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5931), hAPP(c_Groups_Oabs__class_Oabs(_u5931), _u5934)), _u5935)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u5931), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5931), hAPP(c_Groups_Oabs__class_Oabs(_u5931), _u5932)), hAPP(c_Groups_Oabs__class_Oabs(_u5931), _u5934))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5931), _u5933), _u5935))) )).
% 43.37/43.63 cnf(matrix-3191, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5936) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5936), hAPP(c_Groups_Oabs__class_Oabs(_u5936), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5936), hAPP(c_Groups_Oabs__class_Oabs(_u5936), _u5937)), hAPP(c_Groups_Oabs__class_Oabs(_u5936), _u5938)))), hAPP(c_Groups_Oabs__class_Oabs(_u5936), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5936), _u5937), _u5938)))) )).
% 43.37/43.63 cnf(matrix-3192, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5939) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5939), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5939), hAPP(c_Groups_Oabs__class_Oabs(_u5939), _u5940)), hAPP(c_Groups_Oabs__class_Oabs(_u5939), _u5941))), hAPP(c_Groups_Oabs__class_Oabs(_u5939), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5939), _u5940), _u5941)))) )).
% 43.37/43.63 cnf(matrix-3193, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5942) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5942), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5942), hAPP(c_Groups_Oabs__class_Oabs(_u5942), _u5943)), hAPP(c_Groups_Oabs__class_Oabs(_u5942), _u5944))), hAPP(c_Groups_Oabs__class_Oabs(_u5942), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5942), _u5944), _u5943)))) )).
% 43.37/43.63 cnf(matrix-3194, plain, ( ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5945), _u5946)) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5945) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.37/43.63 cnf(matrix-3195, plain, ( ~class_Rings_Oordered__ring__abs(_u5947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), _u5948), _u5949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), c_Groups_Ozero__class_Ozero(_u5947)), _u5948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), c_Groups_Ozero__class_Ozero(_u5947)), _u5949)) )).
% 43.37/43.63 cnf(matrix-3196, plain, ( ~class_Rings_Oordered__ring__abs(_u5947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), _u5948), _u5949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), c_Groups_Ozero__class_Ozero(_u5947)), _u5948)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), _u5949), c_Groups_Ozero__class_Ozero(_u5947))) )).
% 43.37/43.63 cnf(matrix-3197, plain, ( ~class_Rings_Oordered__ring__abs(_u5947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), _u5948), _u5949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), _u5948), c_Groups_Ozero__class_Ozero(_u5947))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), c_Groups_Ozero__class_Ozero(_u5947)), _u5949)) )).
% 43.37/43.63 cnf(matrix-3198, plain, ( ~class_Rings_Oordered__ring__abs(_u5947) | ( hAPP(c_Groups_Oabs__class_Oabs(_u5947), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), _u5948), _u5949)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5947), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5948)), hAPP(c_Groups_Oabs__class_Oabs(_u5947), _u5949))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), _u5948), c_Groups_Ozero__class_Ozero(_u5947))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5947), _u5949), c_Groups_Ozero__class_Ozero(_u5947))) )).
% 43.37/43.63 cnf(matrix-3199, plain, ( ~class_Rings_Olinordered__idom(_u5950) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5950), c_Groups_Ozero__class_Ozero(_u5950)), _u5951)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), hAPP(c_Groups_Oabs__class_Oabs(_u5950), _u5952)), _u5951) = hAPP(c_Groups_Oabs__class_Oabs(_u5950), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u5950), _u5952), _u5951))) )).
% 43.37/43.63 cnf(matrix-3200, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5953) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5953), _u5954), _u5955))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5953), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5954)), hAPP(c_Groups_Oabs__class_Oabs(_u5953), _u5955)))) )).
% 43.37/43.63 cnf(matrix-3201, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u5956) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5956), hAPP(c_Groups_Oabs__class_Oabs(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), _u5957), _u5958)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), _u5959), _u5960)))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5956), hAPP(c_Groups_Oabs__class_Oabs(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), _u5957), _u5959))), hAPP(c_Groups_Oabs__class_Oabs(_u5956), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u5956), _u5958), _u5960))))) )).
% 43.37/43.63 cnf(matrix-3202, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u5961) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5961)) )).
% 43.37/43.63 cnf(matrix-3203, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5962)) = hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5962)) )).
% 43.37/43.63 cnf(matrix-3204, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_Nat_Onat), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5963)) = hAPP(c_Nat_OSuc, _u5963)) )).
% 43.37/43.63 cnf(matrix-3205, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5964)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5964)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5964))) )).
% 43.37/43.63 cnf(matrix-3206, plain, ( ~class_Orderings_Oord(_u5965) | ~hBOOL(hAPP(hAPP(c_member(_u5965), _u5966), hAPP(c_SetInterval_Oord__class_OatMost(_u5965), _u5967))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5965), _u5966), _u5967)) )).
% 43.37/43.63 cnf(matrix-3207, plain, ( ~class_Orderings_Oord(_u5965) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5965), _u5966), _u5967)) | hBOOL(hAPP(hAPP(c_member(_u5965), _u5966), hAPP(c_SetInterval_Oord__class_OatMost(_u5965), _u5967))) )).
% 43.38/43.63 cnf(matrix-3208, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5969)), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ( _u5969 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-3209, plain, ( ( _u5970 != 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), _u5970)), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-3210, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u5971), _u5972))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5971))), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5972)))) )).
% 43.38/43.63 cnf(matrix-3211, plain, ( ~class_Orderings_Oorder(_u5973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5973, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5973), _u5974)), hAPP(c_SetInterval_Oord__class_OatMost(_u5973), _u5975))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5973), _u5974), _u5975)) )).
% 43.38/43.63 cnf(matrix-3212, plain, ( ~class_Orderings_Oorder(_u5973) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5973), _u5974), _u5975)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u5973, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5973), _u5974)), hAPP(c_SetInterval_Oord__class_OatMost(_u5973), _u5975))) )).
% 43.38/43.63 cnf(matrix-3213, plain, ( ~class_Groups_Ocomm__monoid__add(_u5976) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5976), _u5977), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u5978))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u5976), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u5976), _u5977), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u5978))), hAPP(_u5977, hAPP(c_Nat_OSuc, _u5978)))) )).
% 43.38/43.63 cnf(matrix-3214, 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)))) )).
% 43.38/43.63 cnf(matrix-3215, plain, ( ~class_Orderings_Olinorder(_u5979) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u5979), _u5980), _u5981)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u5979, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5979), _u5980)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5979, _u5980, _u5981)) = hAPP(c_SetInterval_Oord__class_OatMost(_u5979), _u5981)) )).
% 43.38/43.63 cnf(matrix-3216, plain, ( ~class_Orderings_Oorder(_u5982) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5982, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5982), _u5983)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u5982, _u5983, _u5984)) = c_Orderings_Obot__class_Obot(tc_fun(_u5982, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3217, plain, ( ~class_Orderings_Oorder(_u5985) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5985, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5985), _u5986)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u5985, _u5986, _u5987)) = c_Orderings_Obot__class_Obot(tc_fun(_u5985, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3218, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u5988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u5989), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u5990), 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), _u5990), _u5989))), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u5988)))) )).
% 43.38/43.63 cnf(matrix-3219, plain, ( ( c_Nitpick_Oint__lcm(_u5991, _u5992) = 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), _u5991)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u5992))))) )).
% 43.38/43.63 cnf(matrix-3220, plain, ( ~class_Orderings_Oorder(_u5993) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u5993, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u5993), _u5994)), hAPP(c_SetInterval_Oord__class_OatLeast(_u5993), _u5994)) = hAPP(hAPP(c_Set_Oinsert(_u5993), _u5994), c_Orderings_Obot__class_Obot(tc_fun(_u5993, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3221, plain, ( ~class_Groups_Ocomm__monoid__add(_u5996) | ~class_Groups_Ocomm__monoid__mult(_u5996) | ( _u5997 != _u5998) | ~c_Nat__Transfer_Onat__set(_u5998) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5996), _u5999), _u5997) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5996), _u6000), _u5998)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem154(_u6000, _u5999, _u5998, _u5997, _u5996))) )).
% 43.38/43.63 cnf(matrix-3222, plain, ( ~class_Groups_Ocomm__monoid__add(_u5996) | ~class_Groups_Ocomm__monoid__mult(_u5996) | ( _u5997 != _u5998) | ~c_Nat__Transfer_Onat__set(_u5998) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5996), _u5999), _u5997) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u5996), _u6000), _u5998)) | ( hAPP(_u5999, skolem154(_u6000, _u5999, _u5998, _u5997, _u5996)) != hAPP(_u6000, skolem154(_u6000, _u5999, _u5998, _u5997, _u5996))) )).
% 43.38/43.63 cnf(matrix-3223, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6010, _u6012, hAPP(hAPP(c_Set_Oinsert(_u6010), _u6014), _u6016)), _u6018)) | ( hAPP(hAPP(c_Set_Oinsert(_u6010), _u6014), _u6016) = hAPP(hAPP(c_Set_Oinsert(_u6010), skolem155(_u6018, _u6016, _u6014, _u6012, _u6010)), skolem156(_u6018, _u6016, _u6014, _u6012, _u6010))) )).
% 43.38/43.63 cnf(matrix-3224, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6010, _u6012, hAPP(hAPP(c_Set_Oinsert(_u6010), _u6014), _u6016)), _u6018)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u6010, _u6010, _u6012, skolem155(_u6018, _u6016, _u6014, _u6012, _u6010), skolem156(_u6018, _u6016, _u6014, _u6012, _u6010)), _u6018)) )).
% 43.38/43.63 cnf(matrix-3225, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6010, _u6012, hAPP(hAPP(c_Set_Oinsert(_u6010), _u6014), _u6016)), _u6018)) | ~hBOOL(hAPP(hAPP(c_member(_u6010), skolem155(_u6018, _u6016, _u6014, _u6012, _u6010)), skolem156(_u6018, _u6016, _u6014, _u6012, _u6010))) )).
% 43.38/43.63 cnf(matrix-3226, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u6011), _u6015), _u6017) != hAPP(hAPP(c_Set_Oinsert(_u6011), _u6004), _u6003)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u6011, _u6011, _u6013, _u6004, _u6003), _u6019)) | hBOOL(hAPP(hAPP(c_member(_u6011), _u6004), _u6003)) | hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6011, _u6013, hAPP(hAPP(c_Set_Oinsert(_u6011), _u6015), _u6017)), _u6019)) )).
% 43.38/43.63 cnf(matrix-3227, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6022, _u6023, hAPP(hAPP(c_Set_Oinsert(_u6022), _u6024), _u6025)), _u6026)) | ( hAPP(hAPP(c_Set_Oinsert(_u6022), _u6024), _u6025) = hAPP(hAPP(c_Set_Oinsert(_u6022), skolem157(_u6026, _u6025, _u6024, _u6023, _u6022)), skolem158(_u6026, _u6025, _u6024, _u6023, _u6022))) )).
% 43.38/43.63 cnf(matrix-3228, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6022, _u6023, hAPP(hAPP(c_Set_Oinsert(_u6022), _u6024), _u6025)), _u6026)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u6022, _u6022, _u6023, skolem157(_u6026, _u6025, _u6024, _u6023, _u6022), skolem158(_u6026, _u6025, _u6024, _u6023, _u6022)), _u6026)) )).
% 43.38/43.63 cnf(matrix-3229, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofold1Set(_u6022, _u6023, hAPP(hAPP(c_Set_Oinsert(_u6022), _u6024), _u6025)), _u6026)) | ~hBOOL(hAPP(hAPP(c_member(_u6022), skolem157(_u6026, _u6025, _u6024, _u6023, _u6022)), skolem158(_u6026, _u6025, _u6024, _u6023, _u6022))) )).
% 43.38/43.63 cnf(matrix-3230, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem159(_u6031, _u6030, _u6029)), _u6029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6031), hAPP(_u6030, _u6029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem160(_u6031, _u6030, _u6029)), _u6029)) )).
% 43.38/43.63 cnf(matrix-3231, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem159(_u6031, _u6030, _u6029)), _u6029)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6031), hAPP(_u6030, _u6029))) | ( hAPP(_u6030, skolem160(_u6031, _u6030, _u6029)) = _u6031) )).
% 43.38/43.63 cnf(matrix-3232, 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(_u6030, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem159(_u6031, _u6030, _u6029)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u6030, skolem159(_u6031, _u6030, _u6029))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6031), hAPP(_u6030, _u6029))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem160(_u6031, _u6030, _u6029)), _u6029)) )).
% 43.38/43.63 cnf(matrix-3233, 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(_u6030, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem159(_u6031, _u6030, _u6029)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u6030, skolem159(_u6031, _u6030, _u6029))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6030, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6031)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6031), hAPP(_u6030, _u6029))) | ( hAPP(_u6030, skolem160(_u6031, _u6030, _u6029)) = _u6031) )).
% 43.38/43.63 cnf(matrix-3234, plain, ( ~class_Orderings_Olinorder(_u6032) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u6032), _u6033) != hAPP(c_SetInterval_Oord__class_OatLeast(_u6032), _u6034)) | ( _u6033 = _u6034) )).
% 43.38/43.63 cnf(matrix-3235, plain, ( ~class_Orderings_Olinorder(_u6032) | ( _u6033 != _u6034) | ( hAPP(c_SetInterval_Oord__class_OatLeast(_u6032), _u6033) = hAPP(c_SetInterval_Oord__class_OatLeast(_u6032), _u6034)) )).
% 43.38/43.63 cnf(matrix-3236, plain, ( ~class_Orderings_Oord(_u6035) | ~hBOOL(hAPP(hAPP(c_member(_u6035), _u6036), hAPP(c_SetInterval_Oord__class_OatLeast(_u6035), _u6037))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6035), _u6037), _u6036)) )).
% 43.38/43.63 cnf(matrix-3237, plain, ( ~class_Orderings_Oord(_u6035) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6035), _u6037), _u6036)) | hBOOL(hAPP(hAPP(c_member(_u6035), _u6036), hAPP(c_SetInterval_Oord__class_OatLeast(_u6035), _u6037))) )).
% 43.38/43.63 cnf(matrix-3238, plain, ( ~class_Orderings_Oorder(_u6038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6038, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6038), _u6039)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6038), _u6040))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6038), _u6040), _u6039)) )).
% 43.38/43.63 cnf(matrix-3239, plain, ( ~class_Orderings_Oorder(_u6038) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6038), _u6040), _u6039)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6038, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6038), _u6039)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6038), _u6040))) )).
% 43.38/43.63 cnf(matrix-3240, plain, ( ~class_Orderings_Olinorder(_u6041) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6041), _u6042), _u6043)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6041, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u6041, _u6042), _u6043)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6041), _u6043)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u6041), _u6042)) )).
% 43.38/43.63 cnf(matrix-3241, plain, ( ~class_Orderings_Oorder(_u6044) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6044, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u6044, _u6045), _u6046)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6044), _u6046)) = c_Orderings_Obot__class_Obot(tc_fun(_u6044, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3242, plain, ( ~class_Orderings_Oorder(_u6047) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6047, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u6047, _u6048, _u6049)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6047), _u6049)) = c_Orderings_Obot__class_Obot(tc_fun(_u6047, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3243, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6050)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), _u6050)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), _u6050), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3244, plain, ( ~class_Orderings_Olinorder(_u6051) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6051), _u6052), _u6053)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6051, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u6051, _u6052, _u6053)), hAPP(c_SetInterval_Oord__class_OatLeast(_u6051), _u6053)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6051), _u6052)) )).
% 43.38/43.63 cnf(matrix-3245, plain, ( ~class_Orderings_Olinorder(_u6054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6054), _u6055), _u6056)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6054, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u6054, _u6055, _u6056)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6054), _u6056)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u6054), _u6055)) )).
% 43.38/43.63 cnf(matrix-3246, plain, ( ~class_Orderings_Olinorder(_u6057) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6057, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u6057), _u6058), c_Orderings_Obot__class_Obot(tc_fun(_u6057, tc_HOL_Obool)))), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6057), _u6058)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u6057), _u6058)) )).
% 43.38/43.63 cnf(matrix-3247, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem161(_u6063, _u6062, _u6061)), _u6061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), hAPP(_u6062, _u6061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem162(_u6063, _u6062, _u6061)), _u6061)) )).
% 43.38/43.63 cnf(matrix-3248, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem161(_u6063, _u6062, _u6061)), _u6061)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), hAPP(_u6062, _u6061))) | ( hAPP(_u6062, skolem162(_u6063, _u6062, _u6061)) = _u6063) )).
% 43.38/43.63 cnf(matrix-3249, 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(_u6062, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem161(_u6063, _u6062, _u6061)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u6062, skolem161(_u6063, _u6062, _u6061))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), hAPP(_u6062, _u6061))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem162(_u6063, _u6062, _u6061)), _u6061)) )).
% 43.38/43.63 cnf(matrix-3250, 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(_u6062, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem161(_u6063, _u6062, _u6061)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u6062, skolem161(_u6063, _u6062, _u6061))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u6062, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u6063)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u6063), hAPP(_u6062, _u6061))) | ( hAPP(_u6062, skolem162(_u6063, _u6062, _u6061)) = _u6063) )).
% 43.38/43.63 cnf(matrix-3251, plain, ( ~class_Groups_Oab__semigroup__mult(_u6064) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6064), _u6065)) | ( _u6065 = c_Orderings_Obot__class_Obot(tc_fun(_u6064, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6064), _u6066)) | ( _u6066 = c_Orderings_Obot__class_Obot(tc_fun(_u6064, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6064, tc_HOL_Obool)), _u6065), _u6066) != c_Orderings_Obot__class_Obot(tc_fun(_u6064, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u6064, c_Groups_Otimes__class_Otimes(_u6064)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6064, tc_HOL_Obool)), _u6065), _u6066)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6064), hAPP(c_Finite__Set_Ofold1(_u6064, c_Groups_Otimes__class_Otimes(_u6064)), _u6065)), hAPP(c_Finite__Set_Ofold1(_u6064, c_Groups_Otimes__class_Otimes(_u6064)), _u6066))) )).
% 43.38/43.63 cnf(matrix-3252, plain, ( ~class_Groups_Oab__semigroup__mult(_u6067) | ( _u6068 = c_Orderings_Obot__class_Obot(tc_fun(_u6067, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6067), _u6068)) | hBOOL(hAPP(hAPP(c_member(_u6067), _u6069), _u6068)) | ( hAPP(c_Finite__Set_Ofold1(_u6067, c_Groups_Otimes__class_Otimes(_u6067)), hAPP(hAPP(c_Set_Oinsert(_u6067), _u6069), _u6068)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6067), _u6069), hAPP(c_Finite__Set_Ofold1(_u6067, c_Groups_Otimes__class_Otimes(_u6067)), _u6068))) )).
% 43.38/43.63 cnf(matrix-3253, plain, ( ~class_Orderings_Olinorder(_u6070) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6070), _u6071) != hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6070), _u6072)) | ( _u6071 = _u6072) )).
% 43.38/43.63 cnf(matrix-3254, plain, ( ~class_Orderings_Olinorder(_u6070) | ( _u6071 != _u6072) | ( hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6070), _u6071) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6070), _u6072)) )).
% 43.38/43.63 cnf(matrix-3255, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6073)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u6073)) )).
% 43.38/43.63 cnf(matrix-3256, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u6074, _u6075), hAPP(hAPP(c_Set_Oinsert(_u6074), _u6076), c_Orderings_Obot__class_Obot(tc_fun(_u6074, tc_HOL_Obool)))) = _u6076) )).
% 43.38/43.63 cnf(matrix-3257, plain, ( ( _u6077 != c_Finite__Set_Ofold1(_u6078, _u6079)) | ( hAPP(_u6077, hAPP(hAPP(c_Set_Oinsert(_u6078), _u6080), c_Orderings_Obot__class_Obot(tc_fun(_u6078, tc_HOL_Obool)))) = _u6080) )).
% 43.38/43.63 cnf(matrix-3258, plain, ( ~c_Finite__Set_Ofolding__one(_u6081, _u6082, _u6083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6081), _u6084)) | ( hAPP(_u6083, _u6084) = hAPP(c_Finite__Set_Ofold1(_u6081, _u6082), _u6084)) )).
% 43.38/43.63 cnf(matrix-3259, plain, ( ~class_Orderings_Oord(_u6085) | ~hBOOL(hAPP(hAPP(c_member(_u6085), _u6086), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6085), _u6087))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6085), _u6087), _u6086)) )).
% 43.38/43.63 cnf(matrix-3260, plain, ( ~class_Orderings_Oord(_u6085) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6085), _u6087), _u6086)) | hBOOL(hAPP(hAPP(c_member(_u6085), _u6086), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6085), _u6087))) )).
% 43.38/43.63 cnf(matrix-3261, plain, ( ~class_Orderings_Olinorder(_u6088) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6088, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6088), _u6089)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6088), _u6090))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6088), _u6090), _u6089)) )).
% 43.38/43.63 cnf(matrix-3262, plain, ( ~class_Orderings_Olinorder(_u6088) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6088), _u6090), _u6089)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6088, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6088), _u6089)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6088), _u6090))) )).
% 43.38/43.63 cnf(matrix-3263, plain, ( ( hAPP(c_Finite__Set_Ofold1(_u6091, _u6092), _u6093) = c_HOL_OThe(_u6091, c_Finite__Set_Ofold1Set(_u6091, _u6092, _u6093))) )).
% 43.38/43.63 cnf(matrix-3264, plain, ( ~class_Lattices_Olattice(_u6094) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6094), _u6095)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u6094, _u6095) = hAPP(c_Finite__Set_Ofold1(_u6094, c_Lattices_Osemilattice__sup__class_Osup(_u6094)), _u6095)) )).
% 43.38/43.63 cnf(matrix-3265, plain, ( ~class_Lattices_Olattice(_u6096) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6096), _u6097)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u6096, _u6097) = hAPP(c_Finite__Set_Ofold1(_u6096, c_Lattices_Osemilattice__inf__class_Oinf(_u6096)), _u6097)) )).
% 43.38/43.63 cnf(matrix-3266, plain, ( ~class_Lattices_Osemilattice__inf(_u6098) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6098), _u6099)) | ~hBOOL(hAPP(hAPP(c_member(_u6098), _u6100), _u6099)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6098), hAPP(c_Finite__Set_Ofold1(_u6098, c_Lattices_Osemilattice__inf__class_Oinf(_u6098)), _u6099)), _u6100)) )).
% 43.38/43.63 cnf(matrix-3267, plain, ( ~class_Lattices_Osemilattice__inf(_u6103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6103), _u6104)) | ( _u6104 = c_Orderings_Obot__class_Obot(tc_fun(_u6103, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), hAPP(c_Finite__Set_Ofold1(_u6103, c_Lattices_Osemilattice__inf__class_Oinf(_u6103)), _u6104))) | ~hBOOL(hAPP(hAPP(c_member(_u6103), _u6101), _u6104)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), _u6101)) )).
% 43.38/43.63 cnf(matrix-3268, plain, ( ~class_Lattices_Osemilattice__inf(_u6103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6103), _u6104)) | ( _u6104 = c_Orderings_Obot__class_Obot(tc_fun(_u6103, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), hAPP(c_Finite__Set_Ofold1(_u6103, c_Lattices_Osemilattice__inf__class_Oinf(_u6103)), _u6104))) | hBOOL(hAPP(hAPP(c_member(_u6103), skolem163(_u6105, _u6104, _u6103)), _u6104)) )).
% 43.38/43.63 cnf(matrix-3269, plain, ( ~class_Lattices_Osemilattice__inf(_u6103) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6103), _u6104)) | ( _u6104 = c_Orderings_Obot__class_Obot(tc_fun(_u6103, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), hAPP(c_Finite__Set_Ofold1(_u6103, c_Lattices_Osemilattice__inf__class_Oinf(_u6103)), _u6104))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6103), _u6105), skolem163(_u6105, _u6104, _u6103))) )).
% 43.38/43.63 cnf(matrix-3270, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6106) | ( _u6107 = c_Orderings_Obot__class_Obot(tc_fun(_u6106, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6106), _u6107)) | ( hAPP(c_Finite__Set_Ofold1(_u6106, c_Groups_Otimes__class_Otimes(_u6106)), hAPP(hAPP(c_Set_Oinsert(_u6106), _u6108), _u6107)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6106), _u6108), hAPP(c_Finite__Set_Ofold1(_u6106, c_Groups_Otimes__class_Otimes(_u6106)), _u6107))) )).
% 43.38/43.63 cnf(matrix-3271, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6109) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6109), _u6110)) | ( _u6110 = c_Orderings_Obot__class_Obot(tc_fun(_u6109, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6109), _u6111)) | ( _u6111 = c_Orderings_Obot__class_Obot(tc_fun(_u6109, tc_HOL_Obool))) | ( hAPP(c_Finite__Set_Ofold1(_u6109, c_Groups_Otimes__class_Otimes(_u6109)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6109, tc_HOL_Obool)), _u6110), _u6111)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6109), hAPP(c_Finite__Set_Ofold1(_u6109, c_Groups_Otimes__class_Otimes(_u6109)), _u6110)), hAPP(c_Finite__Set_Ofold1(_u6109, c_Groups_Otimes__class_Otimes(_u6109)), _u6111))) )).
% 43.38/43.63 cnf(matrix-3272, plain, ( ~class_Orderings_Oorder(_u6112) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6112, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u6112, _u6113, _u6114)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6112), _u6114)) = c_Orderings_Obot__class_Obot(tc_fun(_u6112, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3273, plain, ( ~class_Orderings_Olinorder(_u6115) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6115), _u6116), _u6117)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6115, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u6115, _u6116, _u6117)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6115), _u6117)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6115), _u6116)) )).
% 43.38/43.63 cnf(matrix-3274, plain, ( ~class_Orderings_Oorder(_u6118) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6118, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u6118, _u6119, _u6120)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u6118), _u6120)) = c_Orderings_Obot__class_Obot(tc_fun(_u6118, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3275, plain, ( ( hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6121)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat), _u6121)), hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u6121)), c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3276, plain, ( ~c_Big__Operators_Osemilattice__big(_u6122, _u6123, _u6124) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6122), _u6125)) | ( hAPP(_u6124, _u6125) = hAPP(c_Finite__Set_Ofold1(_u6122, _u6123), _u6125)) )).
% 43.38/43.63 cnf(matrix-3277, plain, ( ~class_Groups_Oab__semigroup__mult(_u6128) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6128), _u6129)) | ( _u6129 = c_Orderings_Obot__class_Obot(tc_fun(_u6128, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6128), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6128), skolem164(_u6129, _u6128)), skolem165(_u6129, _u6128))), hAPP(hAPP(c_Set_Oinsert(_u6128), skolem164(_u6129, _u6128)), hAPP(hAPP(c_Set_Oinsert(_u6128), skolem165(_u6129, _u6128)), c_Orderings_Obot__class_Obot(tc_fun(_u6128, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u6128), hAPP(c_Finite__Set_Ofold1(_u6128, c_Groups_Otimes__class_Otimes(_u6128)), _u6129)), _u6129)) )).
% 43.38/43.63 cnf(matrix-3278, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u6132) | ( hAPP(_u6133, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6132), skolem166(_u6134, _u6133, _u6132)), skolem167(_u6134, _u6133, _u6132))) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u6132), hAPP(_u6133, skolem166(_u6134, _u6133, _u6132))), hAPP(_u6133, skolem167(_u6134, _u6133, _u6132)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6132), _u6134)) | ( _u6134 = c_Orderings_Obot__class_Obot(tc_fun(_u6132, tc_HOL_Obool))) | ( hAPP(_u6133, hAPP(c_Finite__Set_Ofold1(_u6132, c_Groups_Otimes__class_Otimes(_u6132)), _u6134)) = hAPP(c_Finite__Set_Ofold1(_u6132, c_Groups_Otimes__class_Otimes(_u6132)), hAPP(c_Set_Oimage(_u6132, _u6132, _u6133), _u6134))) )).
% 43.38/43.63 cnf(matrix-3279, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6135)) | ( 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)), _u6135))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6136)))) = 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)), _u6135))), 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, _u6136)))))) )).
% 43.38/43.63 cnf(matrix-3280, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6137)) | ( 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)), _u6137))), 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, _u6138))))) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-3281, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u6139)) | ( 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)), _u6139))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6140))))) = 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)), _u6139))), 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, _u6140)))))) )).
% 43.38/43.63 cnf(matrix-3282, plain, ( ~hBOOL(hAPP(_u6141, _u6142)) | hBOOL(hAPP(hAPP(c_member(_u6143), _u6142), hAPP(c_Set_OCollect(_u6143), _u6141))) )).
% 43.38/43.63 cnf(matrix-3283, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6144), hAPP(c_Set_OCollect(_u6144), hAPP(hAPP(c_COMBS(_u6144, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6144), c_fconj), _u6145)), _u6146)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6144), hAPP(c_Set_OCollect(_u6144), _u6145))) )).
% 43.38/43.63 cnf(matrix-3284, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6144), hAPP(c_Set_OCollect(_u6144), hAPP(hAPP(c_COMBS(_u6144, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6144), c_fconj), _u6145)), _u6146)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6144), hAPP(c_Set_OCollect(_u6144), _u6146))) )).
% 43.38/43.63 cnf(matrix-3285, 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)), _u6147)))) )).
% 43.38/43.63 cnf(matrix-3286, 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)), _u6148)))) )).
% 43.38/43.63 cnf(matrix-3287, plain, ( ( hAPP(c_Set_OCollect(_u6149), _u6150) = _u6150) )).
% 43.38/43.63 cnf(matrix-3288, plain, ( ~hBOOL(hAPP(_u6157, _u6151)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u6155, tc_HOL_Obool)) != hAPP(c_Set_OCollect(_u6155), _u6157)) )).
% 43.38/43.63 cnf(matrix-3289, plain, ( hBOOL(hAPP(_u6158, skolem168(_u6158))) | ( c_Orderings_Obot__class_Obot(tc_fun(_u6156, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u6156), _u6158)) )).
% 43.38/43.63 cnf(matrix-3290, plain, ( ~hBOOL(hAPP(_u6165, _u6159)) | ( hAPP(c_Set_OCollect(_u6163), _u6165) != c_Orderings_Obot__class_Obot(tc_fun(_u6163, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3291, plain, ( hBOOL(hAPP(_u6166, skolem169(_u6166))) | ( hAPP(c_Set_OCollect(_u6164), _u6166) = c_Orderings_Obot__class_Obot(tc_fun(_u6164, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3292, plain, ( ( hAPP(c_Set_OCollect(_u6167), hAPP(hAPP(c_COMBC(_u6167, tc_fun(_u6167, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6167)), _u6168)) = _u6168) )).
% 43.38/43.63 cnf(matrix-3293, plain, ( hBOOL(hAPP(_u6176, _u6174)) | ~hBOOL(hAPP(hAPP(c_member(_u6172), _u6174), hAPP(c_Set_OCollect(_u6172), _u6176))) )).
% 43.38/43.63 cnf(matrix-3294, plain, ( ~hBOOL(hAPP(_u6177, _u6175)) | hBOOL(hAPP(hAPP(c_member(_u6173), _u6175), hAPP(c_Set_OCollect(_u6173), _u6177))) )).
% 43.38/43.63 cnf(matrix-3295, plain, ( hBOOL(hAPP(_u6180, _u6179)) | ~hBOOL(hAPP(hAPP(c_member(_u6178), _u6179), hAPP(c_Set_OCollect(_u6178), _u6180))) )).
% 43.38/43.63 cnf(matrix-3296, plain, ( hBOOL(hAPP(_u6183, _u6182)) | ~hBOOL(hAPP(hAPP(c_member(_u6181), _u6182), hAPP(c_Set_OCollect(_u6181), _u6183))) )).
% 43.38/43.63 cnf(matrix-3297, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u6184, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u6184), hAPP(c_COMBK(tc_HOL_Obool, _u6184), c_fFalse))) )).
% 43.38/43.63 cnf(matrix-3298, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6188), hAPP(c_Set_OCollect(_u6188), hAPP(hAPP(c_COMBS(_u6188, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6188), c_fdisj), _u6190)), _u6192)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6188), hAPP(c_Set_OCollect(_u6188), _u6190))) )).
% 43.38/43.63 cnf(matrix-3299, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6188), hAPP(c_Set_OCollect(_u6188), hAPP(hAPP(c_COMBS(_u6188, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6188), c_fdisj), _u6190)), _u6192)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6188), hAPP(c_Set_OCollect(_u6188), _u6192))) )).
% 43.38/43.63 cnf(matrix-3300, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6189), hAPP(c_Set_OCollect(_u6189), _u6191))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6189), hAPP(c_Set_OCollect(_u6189), _u6193))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6189), hAPP(c_Set_OCollect(_u6189), hAPP(hAPP(c_COMBS(_u6189, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6189), c_fdisj), _u6191)), _u6193)))) )).
% 43.38/43.63 cnf(matrix-3301, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u6194), _u6195), hAPP(c_Set_OCollect(_u6194), _u6196)) = hAPP(c_Set_OCollect(_u6194), hAPP(hAPP(c_COMBS(_u6194, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6194), c_fimplies), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6194), c_fNot), hAPP(hAPP(c_COMBC(_u6194, _u6194, tc_HOL_Obool), c_fequal), _u6195)))), _u6196))) )).
% 43.38/43.63 cnf(matrix-3302, plain, ( ( hAPP(c_Set_OCollect(_u6197), hAPP(hAPP(c_COMBS(_u6197, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6197), c_fdisj), _u6198)), _u6199)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6197, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u6197), _u6198)), hAPP(c_Set_OCollect(_u6197), _u6199))) )).
% 43.38/43.63 cnf(matrix-3303, plain, ( ( hAPP(c_Set_OCollect(_u6200), hAPP(hAPP(c_COMBS(_u6200, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6200), c_fconj), _u6201)), _u6202)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6200, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u6200), _u6201)), hAPP(c_Set_OCollect(_u6200), _u6202))) )).
% 43.38/43.63 cnf(matrix-3304, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u6203), _u6204), _u6205) = hAPP(c_Set_OCollect(_u6203), hAPP(hAPP(c_COMBS(_u6203, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6203), c_fdisj), hAPP(hAPP(c_COMBC(_u6203, _u6203, tc_HOL_Obool), c_fequal), _u6204))), hAPP(hAPP(c_COMBC(_u6203, tc_fun(_u6203, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6203)), _u6205)))) )).
% 43.38/43.63 cnf(matrix-3305, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u6206), _u6207), _u6208) = hAPP(c_Set_OCollect(_u6206), hAPP(hAPP(c_COMBS(_u6206, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6206), c_fdisj), hAPP(hAPP(c_COMBC(_u6206, _u6206, tc_HOL_Obool), c_fequal), _u6207))), hAPP(hAPP(c_COMBC(_u6206, tc_fun(_u6206, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6206)), _u6208)))) )).
% 43.38/43.63 cnf(matrix-3306, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6209, tc_HOL_Obool)), _u6210), _u6211) = hAPP(c_Set_OCollect(_u6209), hAPP(hAPP(c_COMBS(_u6209, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6209), c_fdisj), hAPP(hAPP(c_COMBC(_u6209, tc_fun(_u6209, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6209)), _u6210))), hAPP(hAPP(c_COMBC(_u6209, tc_fun(_u6209, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6209)), _u6211)))) )).
% 43.38/43.63 cnf(matrix-3307, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6212, tc_HOL_Obool)), _u6213), _u6214) = hAPP(c_Set_OCollect(_u6212), hAPP(hAPP(c_COMBS(_u6212, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6212), c_fconj), hAPP(hAPP(c_COMBC(_u6212, tc_fun(_u6212, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6212)), _u6213))), hAPP(hAPP(c_COMBC(_u6212, tc_fun(_u6212, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6212)), _u6214)))) )).
% 43.38/43.63 cnf(matrix-3308, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6219), _u6221), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6219, tc_HOL_Obool)), _u6223), hAPP(c_Set_OCollect(_u6219), _u6225)))) | hBOOL(hAPP(hAPP(c_member(_u6219), _u6221), _u6223)) )).
% 43.38/43.63 cnf(matrix-3309, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6219), _u6221), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6219, tc_HOL_Obool)), _u6223), hAPP(c_Set_OCollect(_u6219), _u6225)))) | hBOOL(hAPP(_u6225, _u6221)) )).
% 43.38/43.63 cnf(matrix-3310, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6220), _u6222), _u6224)) | ~hBOOL(hAPP(_u6226, _u6222)) | hBOOL(hAPP(hAPP(c_member(_u6220), _u6222), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6220, tc_HOL_Obool)), _u6224), hAPP(c_Set_OCollect(_u6220), _u6226)))) )).
% 43.38/43.63 cnf(matrix-3311, plain, ( ( hAPP(c_Set_OCollect(_u6227), hAPP(c_fequal, _u6228)) = hAPP(hAPP(c_Set_Oinsert(_u6227), _u6228), c_Orderings_Obot__class_Obot(tc_fun(_u6227, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3312, plain, ( ( hAPP(c_Set_OCollect(_u6229), hAPP(hAPP(c_COMBC(_u6229, _u6229, tc_HOL_Obool), c_fequal), _u6230)) = hAPP(hAPP(c_Set_Oinsert(_u6229), _u6230), c_Orderings_Obot__class_Obot(tc_fun(_u6229, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3313, plain, ( ~hBOOL(hAPP(_u6234, _u6236)) | ( hAPP(c_Set_OCollect(_u6238), hAPP(hAPP(c_COMBS(_u6238, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6238), c_fconj), hAPP(c_fequal, _u6236))), _u6234)) = hAPP(hAPP(c_Set_Oinsert(_u6238), _u6236), c_Orderings_Obot__class_Obot(tc_fun(_u6238, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3314, plain, ( hBOOL(hAPP(_u6235, _u6237)) | ( hAPP(c_Set_OCollect(_u6239), hAPP(hAPP(c_COMBS(_u6239, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6239), c_fconj), hAPP(c_fequal, _u6237))), _u6235)) = c_Orderings_Obot__class_Obot(tc_fun(_u6239, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3315, plain, ( ~hBOOL(hAPP(_u6243, _u6245)) | ( hAPP(c_Set_OCollect(_u6247), hAPP(hAPP(c_COMBS(_u6247, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6247), c_fconj), hAPP(hAPP(c_COMBC(_u6247, _u6247, tc_HOL_Obool), c_fequal), _u6245))), _u6243)) = hAPP(hAPP(c_Set_Oinsert(_u6247), _u6245), c_Orderings_Obot__class_Obot(tc_fun(_u6247, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3316, plain, ( hBOOL(hAPP(_u6244, _u6246)) | ( hAPP(c_Set_OCollect(_u6248), hAPP(hAPP(c_COMBS(_u6248, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6248), c_fconj), hAPP(hAPP(c_COMBC(_u6248, _u6248, tc_HOL_Obool), c_fequal), _u6246))), _u6244)) = c_Orderings_Obot__class_Obot(tc_fun(_u6248, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3317, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6249, tc_HOL_Obool)), _u6250), _u6251) = hAPP(c_Set_OCollect(_u6249), hAPP(hAPP(c_COMBS(_u6249, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6249), c_fconj), hAPP(hAPP(c_COMBC(_u6249, tc_fun(_u6249, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6249)), _u6250))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6249), c_fNot), hAPP(hAPP(c_COMBC(_u6249, tc_fun(_u6249, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6249)), _u6251))))) )).
% 43.38/43.63 cnf(matrix-3318, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u6252), _u6253), _u6254) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6252, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u6252), hAPP(hAPP(c_COMBC(_u6252, _u6252, tc_HOL_Obool), c_fequal), _u6253))), _u6254)) )).
% 43.38/43.63 cnf(matrix-3319, 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), _u6255)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_HOL_Obool), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), _u6256))))) )).
% 43.38/43.63 cnf(matrix-3320, plain, ( ~class_Groups_Ocomm__monoid__add(_u6257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6258), _u6259)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6260), _u6261)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6258, _u6257), hAPP(hAPP(c_COMBS(_u6258, tc_fun(_u6260, tc_HOL_Obool), _u6257), hAPP(hAPP(c_COMBB(tc_fun(_u6260, _u6257), tc_fun(tc_fun(_u6260, tc_HOL_Obool), _u6257), _u6258), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6260, _u6257)), _u6262)), hAPP(hAPP(c_COMBB(tc_fun(_u6260, tc_HOL_Obool), tc_fun(_u6260, tc_HOL_Obool), _u6258), c_Set_OCollect(_u6260)), hAPP(hAPP(c_COMBB(tc_fun(_u6260, tc_HOL_Obool), tc_fun(_u6260, tc_HOL_Obool), _u6258), hAPP(c_COMBS(_u6260, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6260), c_fconj), hAPP(hAPP(c_COMBC(_u6260, tc_fun(_u6260, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6260)), _u6261)))), _u6263)))), _u6259) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6260, _u6257), hAPP(hAPP(c_COMBS(_u6260, tc_fun(_u6258, tc_HOL_Obool), _u6257), hAPP(hAPP(c_COMBB(tc_fun(_u6258, _u6257), tc_fun(tc_fun(_u6258, tc_HOL_Obool), _u6257), _u6260), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6258, _u6257)), hAPP(c_COMBC(_u6258, _u6260, _u6257), _u6262))), hAPP(hAPP(c_COMBB(tc_fun(_u6258, tc_HOL_Obool), tc_fun(_u6258, tc_HOL_Obool), _u6260), c_Set_OCollect(_u6258)), hAPP(hAPP(c_COMBB(tc_fun(_u6258, tc_HOL_Obool), tc_fun(_u6258, tc_HOL_Obool), _u6260), hAPP(c_COMBS(_u6258, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6258), c_fconj), hAPP(hAPP(c_COMBC(_u6258, tc_fun(_u6258, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6258)), _u6259)))), hAPP(c_COMBC(_u6258, _u6260, tc_HOL_Obool), _u6263))))), _u6261)) )).
% 43.38/43.63 cnf(matrix-3321, plain, ( ( hAPP(c_Set_Oimage(_u6264, _u6265, hAPP(hAPP(c_COMBS(_u6264, _u6265, _u6265), hAPP(hAPP(c_COMBS(_u6264, _u6265, tc_fun(_u6265, _u6265)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6265, tc_fun(_u6265, _u6265)), _u6264), c_If(_u6265)), _u6266)), _u6267)), _u6268)), _u6269) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6265, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6264, _u6265, _u6267), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6264, tc_HOL_Obool)), _u6269), hAPP(c_Set_OCollect(_u6264), _u6266)))), hAPP(c_Set_Oimage(_u6264, _u6265, _u6268), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6264, tc_HOL_Obool)), _u6269), hAPP(c_Set_OCollect(_u6264), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6264), c_fNot), _u6266)))))) )).
% 43.38/43.63 cnf(matrix-3322, plain, ( ( _u6270 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u6271, _u6272), 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)), _u6273)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6271), _u6270)) )).
% 43.38/43.63 cnf(matrix-3323, plain, ( ~class_Groups_Ocomm__monoid__add(_u6274) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6275), _u6276)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6275, _u6274), _u6277), hAPP(c_Set_OCollect(_u6275), hAPP(hAPP(c_COMBS(_u6275, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6275), c_fconj), hAPP(hAPP(c_COMBC(_u6275, tc_fun(_u6275, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6275)), _u6276))), hAPP(hAPP(c_COMBC(_u6275, tc_fun(_u6275, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6275)), _u6278)))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6275, _u6274), hAPP(hAPP(c_COMBC(_u6275, _u6274, _u6274), hAPP(hAPP(c_COMBS(_u6275, _u6274, tc_fun(_u6274, _u6274)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u6274, tc_fun(_u6274, _u6274)), _u6275), c_If(_u6274)), hAPP(hAPP(c_COMBC(_u6275, tc_fun(_u6275, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6275)), _u6278))), _u6277)), c_Groups_Ozero__class_Ozero(_u6274))), _u6276)) )).
% 43.38/43.63 cnf(matrix-3324, plain, ( ~class_Groups_Ocomm__monoid__add(_u6279) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6280), _u6281)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6280, _u6279), _u6282), _u6281) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6283, _u6279), hAPP(hAPP(c_COMBB(tc_fun(_u6280, tc_HOL_Obool), _u6279, _u6283), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6280, _u6279), _u6282)), hAPP(hAPP(c_COMBB(tc_fun(_u6280, tc_HOL_Obool), tc_fun(_u6280, tc_HOL_Obool), _u6283), c_Set_OCollect(_u6280)), hAPP(hAPP(c_COMBB(tc_fun(_u6280, tc_HOL_Obool), tc_fun(_u6280, tc_HOL_Obool), _u6283), hAPP(c_COMBS(_u6280, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6280), c_fconj), hAPP(hAPP(c_COMBC(_u6280, tc_fun(_u6280, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6280)), _u6281)))), hAPP(c_COMBC(_u6280, _u6283, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6283, tc_fun(_u6283, tc_HOL_Obool), _u6280), c_fequal), _u6284)))))), hAPP(c_Set_Oimage(_u6280, _u6283, _u6284), _u6281))) )).
% 43.38/43.63 cnf(matrix-3325, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6286), _u6287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6288), _u6289)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6286, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_Nat_Onat, _u6286), c_Finite__Set_Ocard(_u6288)), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_fun(_u6288, tc_HOL_Obool), _u6286), c_Set_OCollect(_u6288)), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_fun(_u6288, tc_HOL_Obool), _u6286), hAPP(c_COMBS(_u6288, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6288), c_fconj), hAPP(hAPP(c_COMBC(_u6288, tc_fun(_u6288, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6288)), _u6289)))), _u6290)))), _u6287) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6291), hAPP(c_Finite__Set_Ocard(_u6288), _u6289))) | hBOOL(hAPP(hAPP(c_member(_u6288), skolem170(_u6291, _u6290, _u6289, _u6288, _u6287, _u6286)), _u6289)) )).
% 43.38/43.63 cnf(matrix-3326, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6286), _u6287)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6288), _u6289)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6286, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_Nat_Onat, _u6286), c_Finite__Set_Ocard(_u6288)), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_fun(_u6288, tc_HOL_Obool), _u6286), c_Set_OCollect(_u6288)), hAPP(hAPP(c_COMBB(tc_fun(_u6288, tc_HOL_Obool), tc_fun(_u6288, tc_HOL_Obool), _u6286), hAPP(c_COMBS(_u6288, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6288), c_fconj), hAPP(hAPP(c_COMBC(_u6288, tc_fun(_u6288, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6288)), _u6289)))), _u6290)))), _u6287) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u6291), hAPP(c_Finite__Set_Ocard(_u6288), _u6289))) | ( hAPP(c_Finite__Set_Ocard(_u6286), hAPP(c_Set_OCollect(_u6286), hAPP(hAPP(c_COMBS(_u6286, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6286), c_fconj), hAPP(hAPP(c_COMBC(_u6286, tc_fun(_u6286, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6286)), _u6287))), hAPP(hAPP(c_COMBC(_u6286, _u6288, tc_HOL_Obool), _u6290), skolem170(_u6291, _u6290, _u6289, _u6288, _u6287, _u6286))))) != _u6291) )).
% 43.38/43.63 cnf(matrix-3327, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6293), _u6294), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6293, tc_HOL_Obool), _u6295))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6293, tc_HOL_Obool), tc_fun(_u6293, tc_HOL_Obool), _u6295) | hBOOL(hAPP(_u6296, _u6294)) | hBOOL(hAPP(hAPP(c_member(_u6293), skolem171(_u6296, _u6295, _u6294, _u6293)), hAPP(_u6295, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6293, tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6293, tc_HOL_Obool), _u6295)), hAPP(c_Set_OCollect(_u6293), _u6296))))) )).
% 43.38/43.63 cnf(matrix-3328, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6293), _u6294), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6293, tc_HOL_Obool), _u6295))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6293, tc_HOL_Obool), tc_fun(_u6293, tc_HOL_Obool), _u6295) | hBOOL(hAPP(_u6296, _u6294)) | ~hBOOL(hAPP(_u6296, skolem171(_u6296, _u6295, _u6294, _u6293))) )).
% 43.38/43.63 cnf(matrix-3329, plain, ( ( _u6298 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6299, tc_HOL_Obool), _u6300)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6299, tc_HOL_Obool), tc_fun(_u6299, tc_HOL_Obool), _u6300) | ~hBOOL(hAPP(hAPP(c_member(_u6299), _u6301), _u6298)) | hBOOL(hAPP(_u6302, _u6301)) | hBOOL(hAPP(hAPP(c_member(_u6299), skolem172(_u6302, _u6301, _u6300, _u6299, _u6298)), hAPP(_u6300, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6299, tc_HOL_Obool)), _u6298), hAPP(c_Set_OCollect(_u6299), _u6302))))) )).
% 43.38/43.63 cnf(matrix-3330, plain, ( ( _u6298 != c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(_u6299, tc_HOL_Obool), _u6300)) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6299, tc_HOL_Obool), tc_fun(_u6299, tc_HOL_Obool), _u6300) | ~hBOOL(hAPP(hAPP(c_member(_u6299), _u6301), _u6298)) | hBOOL(hAPP(_u6302, _u6301)) | ~hBOOL(hAPP(_u6302, skolem172(_u6302, _u6301, _u6300, _u6299, _u6298))) )).
% 43.38/43.63 cnf(matrix-3331, plain, ( ( _u6304 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u6305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool)), c_Set_OCollect(_u6305)), _u6306))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool)), c_Set_OCollect(_u6305)), _u6306)) | ~hBOOL(hAPP(hAPP(c_member(_u6305), _u6307), _u6308)) | hBOOL(hAPP(hAPP(c_member(_u6305), _u6307), _u6304)) | hBOOL(hAPP(hAPP(c_member(_u6305), skolem173(_u6308, _u6307, _u6306, _u6305, _u6304)), _u6308)) )).
% 43.38/43.63 cnf(matrix-3332, plain, ( ( _u6304 != c_Inductive_Ocomplete__lattice__class_Ogfp(tc_fun(_u6305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool)), c_Set_OCollect(_u6305)), _u6306))) | ~c_Orderings_Oorder__class_Omono(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool), tc_fun(_u6305, tc_HOL_Obool)), c_Set_OCollect(_u6305)), _u6306)) | ~hBOOL(hAPP(hAPP(c_member(_u6305), _u6307), _u6308)) | hBOOL(hAPP(hAPP(c_member(_u6305), _u6307), _u6304)) | ~hBOOL(hAPP(hAPP(_u6306, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6305, tc_HOL_Obool)), _u6308), _u6304)), skolem173(_u6308, _u6307, _u6306, _u6305, _u6304))) )).
% 43.38/43.63 cnf(matrix-3333, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6310), _u6311)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6312), _u6313)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6310, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_Nat_Onat, _u6310), c_Finite__Set_Ocard(_u6312)), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_fun(_u6312, tc_HOL_Obool), _u6310), c_Set_OCollect(_u6312)), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_fun(_u6312, tc_HOL_Obool), _u6310), hAPP(c_COMBS(_u6312, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6312), c_fconj), hAPP(hAPP(c_COMBC(_u6312, tc_fun(_u6312, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6312)), _u6313)))), _u6314)))), _u6311) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6312, tc_Nat_Onat), _u6315), _u6313)) | hBOOL(hAPP(hAPP(c_member(_u6312), skolem174(_u6315, _u6314, _u6313, _u6312, _u6311, _u6310)), _u6313)) )).
% 43.38/43.63 cnf(matrix-3334, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6310), _u6311)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6312), _u6313)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6310, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_Nat_Onat, _u6310), c_Finite__Set_Ocard(_u6312)), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_fun(_u6312, tc_HOL_Obool), _u6310), c_Set_OCollect(_u6312)), hAPP(hAPP(c_COMBB(tc_fun(_u6312, tc_HOL_Obool), tc_fun(_u6312, tc_HOL_Obool), _u6310), hAPP(c_COMBS(_u6312, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6312), c_fconj), hAPP(hAPP(c_COMBC(_u6312, tc_fun(_u6312, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6312)), _u6313)))), _u6314)))), _u6311) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u6312, tc_Nat_Onat), _u6315), _u6313)) | ( hAPP(c_Finite__Set_Ocard(_u6310), hAPP(c_Set_OCollect(_u6310), hAPP(hAPP(c_COMBS(_u6310, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6310), c_fconj), hAPP(hAPP(c_COMBC(_u6310, tc_fun(_u6310, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6310)), _u6311))), hAPP(hAPP(c_COMBC(_u6310, _u6312, tc_HOL_Obool), _u6314), skolem174(_u6315, _u6314, _u6313, _u6312, _u6311, _u6310))))) != hAPP(_u6315, skolem174(_u6315, _u6314, _u6313, _u6312, _u6311, _u6310))) )).
% 43.38/43.63 cnf(matrix-3335, plain, ( ~class_Lattices_Odistrib__lattice(_u6316) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6316), _u6317)) | ( _u6317 = c_Orderings_Obot__class_Obot(tc_fun(_u6316, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6316), _u6318), c_Big__Operators_Olattice__class_OSup__fin(_u6316, _u6317)) = c_Big__Operators_Olattice__class_OSup__fin(_u6316, hAPP(c_Set_OCollect(_u6316), hAPP(hAPP(c_COMBB(tc_fun(_u6316, tc_HOL_Obool), tc_HOL_Obool, _u6316), c_HOL_OEx(_u6316)), hAPP(hAPP(c_COMBC(_u6316, tc_fun(_u6316, tc_HOL_Obool), tc_fun(_u6316, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6316, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6316, tc_HOL_Obool), tc_fun(_u6316, tc_HOL_Obool)), _u6316), c_COMBS(_u6316, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6316, tc_HOL_Obool), tc_fun(_u6316, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6316), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6316), c_fconj)), hAPP(hAPP(c_COMBC(_u6316, tc_fun(_u6316, _u6316), tc_fun(_u6316, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6316, tc_HOL_Obool), tc_fun(tc_fun(_u6316, _u6316), tc_fun(_u6316, tc_HOL_Obool)), _u6316), c_COMBB(_u6316, tc_HOL_Obool, _u6316)), c_fequal)), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6316), _u6318))))), hAPP(hAPP(c_COMBC(_u6316, tc_fun(_u6316, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6316)), _u6317)))))) )).
% 43.38/43.63 cnf(matrix-3336, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6319), _u6320)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6319, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_fun(_u6319, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u6319, tc_HOL_Obool), tc_fun(_u6319, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u6319, tc_HOL_Obool))), _u6320)))) )).
% 43.38/43.63 cnf(matrix-3337, plain, ( ( hAPP(c_Set_OPow(_u6321), _u6322) = hAPP(c_Set_OCollect(tc_fun(_u6321, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_fun(_u6321, tc_HOL_Obool), tc_fun(_u6321, tc_HOL_Obool), tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(tc_fun(_u6321, tc_HOL_Obool))), _u6322))) )).
% 43.38/43.63 cnf(matrix-3338, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6325), hAPP(c_Set_OCollect(_u6325), _u6326))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_HOL_Obool, _u6327), c_HOL_OEx(_u6325)), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_fun(_u6325, tc_HOL_Obool), _u6327), hAPP(c_COMBS(_u6325, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6325), c_fconj), _u6326))), _u6328))))) | ~hBOOL(hAPP(_u6326, _u6323)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBC(_u6327, _u6325, tc_HOL_Obool), _u6328), _u6323)))) )).
% 43.38/43.63 cnf(matrix-3339, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6325), hAPP(c_Set_OCollect(_u6325), _u6326))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_HOL_Obool, _u6327), c_HOL_OEx(_u6325)), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_fun(_u6325, tc_HOL_Obool), _u6327), hAPP(c_COMBS(_u6325, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6325), c_fconj), _u6326))), _u6328))))) | hBOOL(hAPP(_u6326, skolem175(_u6328, _u6327, _u6326, _u6325))) )).
% 43.38/43.63 cnf(matrix-3340, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6325), hAPP(c_Set_OCollect(_u6325), _u6326))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_HOL_Obool, _u6327), c_HOL_OEx(_u6325)), hAPP(hAPP(c_COMBB(tc_fun(_u6325, tc_HOL_Obool), tc_fun(_u6325, tc_HOL_Obool), _u6327), hAPP(c_COMBS(_u6325, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6325), c_fconj), _u6326))), _u6328))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6327), hAPP(c_Set_OCollect(_u6327), hAPP(hAPP(c_COMBC(_u6327, _u6325, tc_HOL_Obool), _u6328), skolem175(_u6328, _u6327, _u6326, _u6325))))) )).
% 43.38/43.63 cnf(matrix-3341, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6329), hAPP(c_Set_OCollect(_u6329), _u6330))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6331), hAPP(c_Set_OCollect(_u6331), hAPP(hAPP(c_COMBB(tc_fun(_u6329, tc_HOL_Obool), tc_HOL_Obool, _u6331), c_HOL_OEx(_u6329)), hAPP(hAPP(c_COMBC(_u6331, tc_fun(_u6329, tc_HOL_Obool), tc_fun(_u6329, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6329, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6329, tc_HOL_Obool), tc_fun(_u6329, tc_HOL_Obool)), _u6331), c_COMBS(_u6329, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6329, tc_HOL_Obool), tc_fun(_u6329, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6331), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6329), c_fconj)), hAPP(hAPP(c_COMBC(_u6331, tc_fun(_u6329, _u6331), tc_fun(_u6329, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6331, tc_HOL_Obool), tc_fun(tc_fun(_u6329, _u6331), tc_fun(_u6329, tc_HOL_Obool)), _u6331), c_COMBB(_u6331, tc_HOL_Obool, _u6329)), c_fequal)), _u6332)))), _u6330))))) )).
% 43.38/43.63 cnf(matrix-3342, 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)))), _u6333))) )).
% 43.38/43.63 cnf(matrix-3343, 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)))), _u6334)) = 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), _u6334), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))))) )).
% 43.38/43.63 cnf(matrix-3344, plain, ( ( hAPP(c_Set_OCollect(tc_Nat_Onat), _u6335) = 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), _u6335), c_Int_Onat))))) )).
% 43.38/43.63 cnf(matrix-3345, plain, ( ~class_Lattices_Odistrib__lattice(_u6336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6336), _u6337)) | ( _u6337 = c_Orderings_Obot__class_Obot(tc_fun(_u6336, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6336), _u6338)) | ( _u6338 = c_Orderings_Obot__class_Obot(tc_fun(_u6336, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6336), c_Big__Operators_Olattice__class_OInf__fin(_u6336, _u6337)), c_Big__Operators_Olattice__class_OInf__fin(_u6336, _u6338)) = c_Big__Operators_Olattice__class_OInf__fin(_u6336, hAPP(c_Set_OCollect(_u6336), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_HOL_Obool), tc_HOL_Obool, _u6336), c_HOL_OEx(_u6336)), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool)), tc_fun(_u6336, tc_HOL_Obool), _u6336), hAPP(c_COMBB(tc_fun(_u6336, tc_HOL_Obool), tc_HOL_Obool, _u6336), c_HOL_OEx(_u6336))), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool)), tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_fun(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool))), tc_fun(tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool)), tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool))), _u6336), c_COMBS(_u6336, tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_fun(_u6336, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u6336, tc_fun(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool))), _u6336), hAPP(c_COMBB(tc_fun(_u6336, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool)), _u6336), c_COMBS(_u6336, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool)), tc_fun(_u6336, tc_fun(_u6336, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u6336), hAPP(c_COMBB(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6336), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6336), c_fconj))), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_fun(_u6336, _u6336)), tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u6336, _u6336), tc_fun(_u6336, tc_HOL_Obool)), tc_fun(tc_fun(_u6336, tc_fun(_u6336, _u6336)), tc_fun(_u6336, tc_fun(_u6336, tc_HOL_Obool))), _u6336), c_COMBB(tc_fun(_u6336, _u6336), tc_fun(_u6336, tc_HOL_Obool), _u6336)), hAPP(hAPP(c_COMBB(tc_fun(_u6336, tc_HOL_Obool), tc_fun(tc_fun(_u6336, _u6336), tc_fun(_u6336, tc_HOL_Obool)), _u6336), c_COMBB(_u6336, tc_HOL_Obool, _u6336)), c_fequal))), c_Lattices_Osemilattice__sup__class_Osup(_u6336)))))), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u6336, tc_HOL_Obool), tc_fun(_u6336, tc_HOL_Obool)), _u6336), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6336)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6336), c_fconj), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6336)), _u6337)))), hAPP(hAPP(c_COMBC(_u6336, tc_fun(_u6336, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6336)), _u6338)))))))) )).
% 43.38/43.63 cnf(matrix-3346, plain, ( ~class_Lattices_Odistrib__lattice(_u6339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6339), _u6340)) | ( _u6340 = c_Orderings_Obot__class_Obot(tc_fun(_u6339, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6339), _u6341), c_Big__Operators_Olattice__class_OInf__fin(_u6339, _u6340)) = c_Big__Operators_Olattice__class_OInf__fin(_u6339, hAPP(c_Set_OCollect(_u6339), hAPP(hAPP(c_COMBB(tc_fun(_u6339, tc_HOL_Obool), tc_HOL_Obool, _u6339), c_HOL_OEx(_u6339)), hAPP(hAPP(c_COMBC(_u6339, tc_fun(_u6339, tc_HOL_Obool), tc_fun(_u6339, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6339, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6339, tc_HOL_Obool), tc_fun(_u6339, tc_HOL_Obool)), _u6339), c_COMBS(_u6339, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6339, tc_HOL_Obool), tc_fun(_u6339, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6339), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6339), c_fconj)), hAPP(hAPP(c_COMBC(_u6339, tc_fun(_u6339, _u6339), tc_fun(_u6339, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6339, tc_HOL_Obool), tc_fun(tc_fun(_u6339, _u6339), tc_fun(_u6339, tc_HOL_Obool)), _u6339), c_COMBB(_u6339, tc_HOL_Obool, _u6339)), c_fequal)), hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6339), _u6341))))), hAPP(hAPP(c_COMBC(_u6339, tc_fun(_u6339, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6339)), _u6340)))))) )).
% 43.38/43.63 cnf(matrix-3347, plain, ( ~class_Lattices_Odistrib__lattice(_u6342) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6342), _u6343)) | ( _u6343 = c_Orderings_Obot__class_Obot(tc_fun(_u6342, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6342), _u6344)) | ( _u6344 = c_Orderings_Obot__class_Obot(tc_fun(_u6342, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6342), c_Big__Operators_Olattice__class_OSup__fin(_u6342, _u6343)), c_Big__Operators_Olattice__class_OSup__fin(_u6342, _u6344)) = c_Big__Operators_Olattice__class_OSup__fin(_u6342, hAPP(c_Set_OCollect(_u6342), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_HOL_Obool), tc_HOL_Obool, _u6342), c_HOL_OEx(_u6342)), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool)), tc_fun(_u6342, tc_HOL_Obool), _u6342), hAPP(c_COMBB(tc_fun(_u6342, tc_HOL_Obool), tc_HOL_Obool, _u6342), c_HOL_OEx(_u6342))), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool)), tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_fun(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool))), tc_fun(tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool)), tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool))), _u6342), c_COMBS(_u6342, tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_fun(_u6342, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u6342, tc_fun(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool))), _u6342), hAPP(c_COMBB(tc_fun(_u6342, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool)), _u6342), c_COMBS(_u6342, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool)), tc_fun(_u6342, tc_fun(_u6342, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u6342), hAPP(c_COMBB(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6342), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6342), c_fconj))), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_fun(_u6342, _u6342)), tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u6342, _u6342), tc_fun(_u6342, tc_HOL_Obool)), tc_fun(tc_fun(_u6342, tc_fun(_u6342, _u6342)), tc_fun(_u6342, tc_fun(_u6342, tc_HOL_Obool))), _u6342), c_COMBB(tc_fun(_u6342, _u6342), tc_fun(_u6342, tc_HOL_Obool), _u6342)), hAPP(hAPP(c_COMBB(tc_fun(_u6342, tc_HOL_Obool), tc_fun(tc_fun(_u6342, _u6342), tc_fun(_u6342, tc_HOL_Obool)), _u6342), c_COMBB(_u6342, tc_HOL_Obool, _u6342)), c_fequal))), c_Lattices_Osemilattice__inf__class_Oinf(_u6342)))))), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u6342, tc_HOL_Obool), tc_fun(_u6342, tc_HOL_Obool)), _u6342), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6342)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6342), c_fconj), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6342)), _u6343)))), hAPP(hAPP(c_COMBC(_u6342, tc_fun(_u6342, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6342)), _u6344)))))))) )).
% 43.38/43.63 cnf(matrix-3348, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6345) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6345), _u6346)) | ( _u6346 = c_Orderings_Obot__class_Obot(tc_fun(_u6345, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6345), _u6347), c_Big__Operators_Olinorder__class_OMin(_u6345, _u6346)) = c_Big__Operators_Olinorder__class_OMin(_u6345, hAPP(c_Set_OCollect(_u6345), hAPP(hAPP(c_COMBB(tc_fun(_u6345, tc_HOL_Obool), tc_HOL_Obool, _u6345), c_HOL_OEx(_u6345)), hAPP(hAPP(c_COMBC(_u6345, tc_fun(_u6345, tc_HOL_Obool), tc_fun(_u6345, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6345, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6345, tc_HOL_Obool), tc_fun(_u6345, tc_HOL_Obool)), _u6345), c_COMBS(_u6345, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6345, tc_HOL_Obool), tc_fun(_u6345, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6345), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6345), c_fconj)), hAPP(hAPP(c_COMBC(_u6345, tc_fun(_u6345, _u6345), tc_fun(_u6345, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6345, tc_HOL_Obool), tc_fun(tc_fun(_u6345, _u6345), tc_fun(_u6345, tc_HOL_Obool)), _u6345), c_COMBB(_u6345, tc_HOL_Obool, _u6345)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6345), _u6347))))), hAPP(hAPP(c_COMBC(_u6345, tc_fun(_u6345, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6345)), _u6346)))))) )).
% 43.38/43.63 cnf(matrix-3349, plain, ( ~class_Groups_Olinordered__ab__semigroup__add(_u6348) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6348), _u6349)) | ( _u6349 = c_Orderings_Obot__class_Obot(tc_fun(_u6348, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u6348), _u6350), c_Big__Operators_Olinorder__class_OMax(_u6348, _u6349)) = c_Big__Operators_Olinorder__class_OMax(_u6348, hAPP(c_Set_OCollect(_u6348), hAPP(hAPP(c_COMBB(tc_fun(_u6348, tc_HOL_Obool), tc_HOL_Obool, _u6348), c_HOL_OEx(_u6348)), hAPP(hAPP(c_COMBC(_u6348, tc_fun(_u6348, tc_HOL_Obool), tc_fun(_u6348, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6348, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u6348, tc_HOL_Obool), tc_fun(_u6348, tc_HOL_Obool)), _u6348), c_COMBS(_u6348, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6348, tc_HOL_Obool), tc_fun(_u6348, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u6348), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6348), c_fconj)), hAPP(hAPP(c_COMBC(_u6348, tc_fun(_u6348, _u6348), tc_fun(_u6348, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6348, tc_HOL_Obool), tc_fun(tc_fun(_u6348, _u6348), tc_fun(_u6348, tc_HOL_Obool)), _u6348), c_COMBB(_u6348, tc_HOL_Obool, _u6348)), c_fequal)), hAPP(c_Groups_Oplus__class_Oplus(_u6348), _u6350))))), hAPP(hAPP(c_COMBC(_u6348, tc_fun(_u6348, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6348)), _u6349)))))) )).
% 43.38/43.63 cnf(matrix-3350, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6357), _u6359)) | ( _u6359 = hAPP(c_Set_Oimage(tc_Nat_Onat, _u6357, skolem177(_u6359, _u6357)), 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)), skolem176(_u6359, _u6357))))) )).
% 43.38/43.63 cnf(matrix-3351, plain, ( ( _u6360 != hAPP(c_Set_Oimage(tc_Nat_Onat, _u6358, _u6353), 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)), _u6354)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6358), _u6360)) )).
% 43.38/43.63 cnf(matrix-3352, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6362), _u6363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6364), hAPP(c_Set_Oimage(_u6362, _u6364, _u6365), _u6363))) | hBOOL(hAPP(hAPP(c_member(_u6362), skolem178(_u6365, _u6364, _u6363, _u6362)), _u6363)) )).
% 43.38/43.63 cnf(matrix-3353, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6362), _u6363)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6364), hAPP(c_Set_Oimage(_u6362, _u6364, _u6365), _u6363))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6362), hAPP(c_Set_OCollect(_u6362), hAPP(hAPP(c_COMBS(_u6362, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u6362), c_fconj), hAPP(hAPP(c_COMBC(_u6362, tc_fun(_u6362, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6362)), _u6363))), hAPP(hAPP(c_COMBC(_u6362, _u6364, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6364, tc_fun(_u6364, tc_HOL_Obool), _u6362), c_fequal), _u6365)), hAPP(_u6365, skolem178(_u6365, _u6364, _u6363, _u6362))))))) )).
% 43.38/43.63 cnf(matrix-3354, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6366, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u6367)), _u6368) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6366, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6366, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, c_Groups_Oone__class_Oone(tc_Nat_Onat), _u6367)), _u6368)), hAPP(_u6368, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.63 cnf(matrix-3355, 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)))) )).
% 43.38/43.63 cnf(matrix-3356, plain, ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u6369, tc_HOL_Obool)), _u6370)) )).
% 43.38/43.63 cnf(matrix-3357, plain, ( hBOOL(hAPP(hAPP(c_member(_u6371), _u6372), c_Orderings_Otop__class_Otop(tc_fun(_u6371, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3358, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6373), _u6374), _u6375)) | ~hBOOL(hAPP(hAPP(_u6376, _u6374), _u6377)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6373, tc_fun(_u6378, tc_HOL_Obool)), _u6375), _u6376), _u6377)) )).
% 43.38/43.63 cnf(matrix-3359, 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))) )).
% 43.38/43.63 cnf(matrix-3360, 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))) )).
% 43.38/43.63 cnf(matrix-3361, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6383, tc_fun(_u6385, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6383, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6385, tc_HOL_Obool), tc_fun(_u6385, tc_HOL_Obool), _u6383), hAPP(c_COMBC(_u6385, tc_fun(_u6385, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6385))), _u6387)), _u6389)) | hBOOL(hAPP(hAPP(c_member(_u6385), _u6389), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6383, tc_fun(_u6385, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6383, tc_HOL_Obool))), _u6387))) )).
% 43.38/43.63 cnf(matrix-3362, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6386), _u6390), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6384, tc_fun(_u6386, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6384, tc_HOL_Obool))), _u6388))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6384, tc_fun(_u6386, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6384, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u6386, tc_HOL_Obool), tc_fun(_u6386, tc_HOL_Obool), _u6384), hAPP(c_COMBC(_u6386, tc_fun(_u6386, tc_HOL_Obool), tc_HOL_Obool), c_member(_u6386))), _u6388)), _u6390)) )).
% 43.38/43.63 cnf(matrix-3363, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6391), c_Orderings_Otop__class_Otop(tc_fun(_u6391, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6392), c_Orderings_Otop__class_Otop(tc_fun(_u6392, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u6391, _u6392)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u6391, _u6392), tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3364, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u6394)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u6394), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6394), c_Orderings_Otop__class_Otop(tc_fun(_u6394, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3365, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6395), c_Orderings_Otop__class_Otop(tc_fun(_u6395, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Option_Ooption(_u6395)), c_Orderings_Otop__class_Otop(tc_fun(tc_Option_Ooption(_u6395), tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3366, plain, ( ( c_Sum__Type_OPlus(_u6396, _u6397, c_Orderings_Otop__class_Otop(tc_fun(_u6396, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6397, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6396, _u6397), tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3367, plain, ( ( hAPP(c_Set_OPow(_u6398), c_Orderings_Otop__class_Otop(tc_fun(_u6398, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u6398, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3368, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6406, tc_fun(_u6408, tc_HOL_Obool)), _u6410), _u6412), _u6414)) | hBOOL(hAPP(hAPP(c_member(_u6406), skolem179(_u6414, _u6412, _u6410, _u6408, _u6406)), _u6410)) )).
% 43.38/43.63 cnf(matrix-3369, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6406, tc_fun(_u6408, tc_HOL_Obool)), _u6410), _u6412), _u6414)) | hBOOL(hAPP(hAPP(_u6412, skolem179(_u6414, _u6412, _u6410, _u6408, _u6406)), _u6414)) )).
% 43.38/43.63 cnf(matrix-3370, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6407), _u6400), _u6411)) | ~hBOOL(hAPP(hAPP(_u6413, _u6400), _u6415)) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6407, tc_fun(_u6409, tc_HOL_Obool)), _u6411), _u6413), _u6415)) )).
% 43.38/43.63 cnf(matrix-3371, plain, ( ~class_Orderings_Otop(_u6416) | ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(_u6417, _u6416)), _u6418) = c_Orderings_Otop__class_Otop(_u6416)) )).
% 43.38/43.63 cnf(matrix-3372, 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))) )).
% 43.38/43.63 cnf(matrix-3373, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6421), _u6422)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6421, tc_fun(_u6423, tc_HOL_Obool)), _u6422), _u6424))) | ~hBOOL(hAPP(hAPP(c_member(_u6421), _u6419), _u6422)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(_u6424, _u6419))) )).
% 43.38/43.63 cnf(matrix-3374, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6421), _u6422)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6421, tc_fun(_u6423, tc_HOL_Obool)), _u6422), _u6424))) | hBOOL(hAPP(hAPP(c_member(_u6421), skolem180(_u6424, _u6423, _u6422, _u6421)), _u6422)) )).
% 43.38/43.63 cnf(matrix-3375, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6421), _u6422)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6421, tc_fun(_u6423, tc_HOL_Obool)), _u6422), _u6424))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6423), hAPP(_u6424, skolem180(_u6424, _u6423, _u6422, _u6421)))) )).
% 43.38/43.63 cnf(matrix-3376, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u6426), c_Orderings_Otop__class_Otop(tc_fun(_u6426, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6425, _u6426)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u6425, _u6426), tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3377, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6427, 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(_u6427, tc_HOL_Obool)), tc_fun(_u6427, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_fun(_u6427, tc_HOL_Obool)), tc_fun(_u6427, tc_HOL_Obool)), tc_Nat_Onat), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6427, tc_HOL_Obool))), c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), _u6428)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6427, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6428)) )).
% 43.38/43.63 cnf(matrix-3378, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u6429, tc_HOL_Obool)) != c_Orderings_Obot__class_Obot(tc_fun(_u6429, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3379, plain, ( ~class_Finite__Set_Ofinite(_u6430) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6430), c_Orderings_Otop__class_Otop(tc_fun(_u6430, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3380, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6431, tc_HOL_Obool)), _u6432), c_Orderings_Otop__class_Otop(tc_fun(_u6431, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3381, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6433, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6433, tc_HOL_Obool))), _u6434) = c_Orderings_Otop__class_Otop(tc_fun(_u6433, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3382, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6435, tc_HOL_Obool)), _u6436), c_Orderings_Otop__class_Otop(tc_fun(_u6435, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u6435, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3383, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6437, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u6437, tc_HOL_Obool))), _u6438) = _u6438) )).
% 43.38/43.63 cnf(matrix-3384, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6439, tc_HOL_Obool)), _u6440), c_Orderings_Otop__class_Otop(tc_fun(_u6439, tc_HOL_Obool))) = _u6440) )).
% 43.38/43.63 cnf(matrix-3385, plain, ( ~c_Fun_Oinj__on(_u6441, _u6442, _u6443, c_Orderings_Otop__class_Otop(tc_fun(_u6441, tc_HOL_Obool))) | ( hAPP(_u6443, _u6444) != hAPP(_u6443, _u6445)) | ( _u6444 = _u6445) )).
% 43.38/43.63 cnf(matrix-3386, plain, ( ~c_Fun_Oinj__on(_u6441, _u6442, _u6443, c_Orderings_Otop__class_Otop(tc_fun(_u6441, tc_HOL_Obool))) | ( _u6444 != _u6445) | ( hAPP(_u6443, _u6444) = hAPP(_u6443, _u6445)) )).
% 43.38/43.63 cnf(matrix-3387, plain, ( ( hAPP(_u6448, _u6449) != hAPP(_u6448, _u6450)) | ( _u6449 = _u6450) | ~c_Fun_Oinj__on(_u6446, _u6447, _u6448, c_Orderings_Otop__class_Otop(tc_fun(_u6446, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3388, 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))) )).
% 43.38/43.63 cnf(matrix-3389, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6453, _u6455)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6453, _u6455), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6453), c_Orderings_Otop__class_Otop(tc_fun(_u6453, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3390, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6453, _u6455)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6453, _u6455), tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6455), c_Orderings_Otop__class_Otop(tc_fun(_u6455, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3391, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6454), c_Orderings_Otop__class_Otop(tc_fun(_u6454, tc_HOL_Obool)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6456), c_Orderings_Otop__class_Otop(tc_fun(_u6456, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_sum(_u6454, _u6456)), c_Orderings_Otop__class_Otop(tc_fun(tc_sum(_u6454, _u6456), tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3392, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3393, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u6457, tc_HOL_Obool)) = hAPP(c_Set_OCollect(_u6457), hAPP(c_COMBK(tc_HOL_Obool, _u6457), c_fTrue))) )).
% 43.38/43.63 cnf(matrix-3394, plain, ( ( hAPP(c_Set_Oimage(_u6458, _u6459, hAPP(hAPP(c_COMBB(_u6460, _u6459, _u6458), _u6461), _u6462)), c_Orderings_Otop__class_Otop(tc_fun(_u6458, tc_HOL_Obool))) = hAPP(c_Set_Oimage(_u6460, _u6459, _u6461), hAPP(c_Set_Oimage(_u6458, _u6460, _u6462), c_Orderings_Otop__class_Otop(tc_fun(_u6458, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3395, plain, ( ~c_Fun_Oinj__on(_u6463, _u6464, _u6465, c_Orderings_Otop__class_Otop(tc_fun(_u6463, tc_HOL_Obool))) | c_Fun_Oinj__on(_u6463, tc_fun(_u6466, _u6464), hAPP(hAPP(c_COMBB(_u6464, tc_fun(_u6466, _u6464), _u6463), c_COMBK(_u6464, _u6466)), _u6465), c_Orderings_Otop__class_Otop(tc_fun(_u6463, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3396, plain, ( ~class_Orderings_Otop(_u6467) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6467), _u6468), c_Orderings_Otop__class_Otop(_u6467))) )).
% 43.38/43.63 cnf(matrix-3397, plain, ( ~class_Lattices_Obounded__lattice__top(_u6469) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6469), c_Orderings_Otop__class_Otop(_u6469)), _u6470) = c_Orderings_Otop__class_Otop(_u6469)) )).
% 43.38/43.63 cnf(matrix-3398, plain, ( ~class_Lattices_Obounded__lattice__top(_u6471) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u6471), _u6472), c_Orderings_Otop__class_Otop(_u6471)) = c_Orderings_Otop__class_Otop(_u6471)) )).
% 43.38/43.63 cnf(matrix-3399, plain, ( ~class_Lattices_Obounded__lattice__top(_u6473) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6473), c_Orderings_Otop__class_Otop(_u6473)), _u6474) = _u6474) )).
% 43.38/43.63 cnf(matrix-3400, plain, ( ~class_Lattices_Obounded__lattice__top(_u6475) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6475), _u6476), c_Orderings_Otop__class_Otop(_u6475)) = _u6476) )).
% 43.38/43.63 cnf(matrix-3401, plain, ( ~class_Lattices_Obounded__lattice__top(_u6477) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6477), _u6478), _u6479) != c_Orderings_Otop__class_Otop(_u6477)) | ( _u6478 = c_Orderings_Otop__class_Otop(_u6477)) )).
% 43.38/43.63 cnf(matrix-3402, plain, ( ~class_Lattices_Obounded__lattice__top(_u6477) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6477), _u6478), _u6479) != c_Orderings_Otop__class_Otop(_u6477)) | ( _u6479 = c_Orderings_Otop__class_Otop(_u6477)) )).
% 43.38/43.63 cnf(matrix-3403, plain, ( ~class_Lattices_Obounded__lattice__top(_u6477) | ( _u6478 != c_Orderings_Otop__class_Otop(_u6477)) | ( _u6479 != c_Orderings_Otop__class_Otop(_u6477)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u6477), _u6478), _u6479) = c_Orderings_Otop__class_Otop(_u6477)) )).
% 43.38/43.63 cnf(matrix-3404, plain, ( ( _u6480 != hAPP(_u6481, _u6482)) | hBOOL(hAPP(hAPP(c_member(_u6483), _u6480), hAPP(c_Set_Oimage(_u6484, _u6483, _u6481), c_Orderings_Otop__class_Otop(tc_fun(_u6484, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3405, plain, ( hBOOL(hAPP(hAPP(c_member(_u6485), hAPP(_u6486, _u6487)), hAPP(c_Set_Oimage(_u6488, _u6485, _u6486), c_Orderings_Otop__class_Otop(tc_fun(_u6488, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3406, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6489, tc_HOL_Obool)), _u6490), c_Orderings_Otop__class_Otop(tc_fun(_u6489, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u6489, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3407, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6491), c_Orderings_Otop__class_Otop(tc_fun(_u6491, tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u6491), _u6492) != hAPP(c_Finite__Set_Ocard(_u6491), c_Orderings_Otop__class_Otop(tc_fun(_u6491, tc_HOL_Obool)))) | ( _u6492 = c_Orderings_Otop__class_Otop(tc_fun(_u6491, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3408, plain, ( ~c_Fun_Oinj__on(_u6493, _u6494, _u6495, c_Orderings_Otop__class_Otop(tc_fun(_u6493, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6493, _u6494, _u6495), _u6496) != hAPP(c_Set_Oimage(_u6493, _u6494, _u6495), _u6497)) | ( _u6496 = _u6497) )).
% 43.38/43.63 cnf(matrix-3409, plain, ( ~c_Fun_Oinj__on(_u6493, _u6494, _u6495, c_Orderings_Otop__class_Otop(tc_fun(_u6493, tc_HOL_Obool))) | ( _u6496 != _u6497) | ( hAPP(c_Set_Oimage(_u6493, _u6494, _u6495), _u6496) = hAPP(c_Set_Oimage(_u6493, _u6494, _u6495), _u6497)) )).
% 43.38/43.63 cnf(matrix-3410, plain, ( ~class_Orderings_Olinorder(_u6498) | ( c_Big__Operators_Olinorder__class_OMin(_u6498, hAPP(hAPP(c_Set_Oinsert(_u6498), _u6499), c_Orderings_Obot__class_Obot(tc_fun(_u6498, tc_HOL_Obool)))) = _u6499) )).
% 43.38/43.63 cnf(matrix-3411, plain, ( ~class_Orderings_Olinorder(_u6500) | ( c_Big__Operators_Olinorder__class_OMax(_u6500, hAPP(hAPP(c_Set_Oinsert(_u6500), _u6501), c_Orderings_Obot__class_Obot(tc_fun(_u6500, tc_HOL_Obool)))) = _u6501) )).
% 43.38/43.63 cnf(matrix-3412, plain, ( c_Fun_Oinj__on(_u6502, tc_fun(_u6502, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u6502, tc_fun(_u6502, tc_HOL_Obool), tc_fun(_u6502, tc_HOL_Obool)), c_Set_Oinsert(_u6502)), c_Orderings_Obot__class_Obot(tc_fun(_u6502, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u6502, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3413, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), hAPP(c_Set_OCollect(_u6503), _u6504))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), hAPP(c_Set_OCollect(_u6503), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6503), c_fNot), _u6504)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), c_Orderings_Otop__class_Otop(tc_fun(_u6503, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3414, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), hAPP(c_Set_OCollect(_u6503), _u6504))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), c_Orderings_Otop__class_Otop(tc_fun(_u6503, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6503), hAPP(c_Set_OCollect(_u6503), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u6503), c_fNot), _u6504)))) )).
% 43.38/43.63 cnf(matrix-3415, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6505), hAPP(c_Set_Oimage(_u6506, _u6505, _u6507), c_Orderings_Otop__class_Otop(tc_fun(_u6506, tc_HOL_Obool))))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6508), hAPP(c_Set_Oimage(_u6506, _u6508, hAPP(hAPP(c_COMBB(_u6505, _u6508, _u6506), _u6509), _u6507)), c_Orderings_Otop__class_Otop(tc_fun(_u6506, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3416, plain, ( ~c_Fun_Oinj__on(_u6510, _u6511, _u6512, c_Orderings_Otop__class_Otop(tc_fun(_u6510, tc_HOL_Obool))) | ( hAPP(c_Fun_Othe__inv__into(_u6510, _u6511, c_Orderings_Otop__class_Otop(tc_fun(_u6510, tc_HOL_Obool)), _u6512), hAPP(_u6512, _u6513)) = _u6513) )).
% 43.38/43.63 cnf(matrix-3417, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u6514, _u6515)), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u6514, _u6515), tc_HOL_Obool)))) | ( hAPP(c_Finite__Set_Ocard(_u6515), c_Orderings_Otop__class_Otop(tc_fun(_u6515, tc_HOL_Obool))) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u6514), c_Orderings_Otop__class_Otop(tc_fun(_u6514, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3418, plain, ( ~class_Nat_Osemiring__char__0(_u6516) | c_Fun_Oinj__on(tc_Nat_Onat, _u6516, c_Nat_Osemiring__1__class_Oof__nat(_u6516), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3419, 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))) )).
% 43.38/43.63 cnf(matrix-3420, plain, ( ~c_Fun_Oinj__on(_u6521, _u6522, _u6523, c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6522), _u6524), hAPP(c_Set_Oimage(_u6521, _u6522, _u6523), c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))))) | ( _u6524 = hAPP(_u6523, skolem181(_u6524, _u6523, _u6522, _u6521))) )).
% 43.38/43.63 cnf(matrix-3421, plain, ( ~c_Fun_Oinj__on(_u6521, _u6522, _u6523, c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6522), _u6524), hAPP(c_Set_Oimage(_u6521, _u6522, _u6523), c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))))) | ( _u6524 != hAPP(_u6523, _u6517)) | ( _u6517 = skolem181(_u6524, _u6523, _u6522, _u6521)) )).
% 43.38/43.63 cnf(matrix-3422, plain, ( ~c_Fun_Oinj__on(_u6521, _u6522, _u6523, c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6522), _u6524), hAPP(c_Set_Oimage(_u6521, _u6522, _u6523), c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))))) | ( _u6524 != hAPP(_u6523, _u6520)) | ( _u6524 = hAPP(_u6523, skolem182(_u6524, _u6523, _u6522, _u6521, _u6520))) )).
% 43.38/43.63 cnf(matrix-3423, plain, ( ~c_Fun_Oinj__on(_u6521, _u6522, _u6523, c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6522), _u6524), hAPP(c_Set_Oimage(_u6521, _u6522, _u6523), c_Orderings_Otop__class_Otop(tc_fun(_u6521, tc_HOL_Obool))))) | ( _u6524 != hAPP(_u6523, _u6520)) | ( skolem182(_u6524, _u6523, _u6522, _u6521, _u6520) != _u6520) )).
% 43.38/43.63 cnf(matrix-3424, plain, ( ~c_Fun_Oinj__on(_u6525, _u6526, _u6527, c_Orderings_Otop__class_Otop(tc_fun(_u6525, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6526), hAPP(_u6527, _u6528)), hAPP(c_Set_Oimage(_u6525, _u6526, _u6527), _u6529))) | hBOOL(hAPP(hAPP(c_member(_u6525), _u6528), _u6529)) )).
% 43.38/43.63 cnf(matrix-3425, plain, ( ~c_Fun_Oinj__on(_u6525, _u6526, _u6527, c_Orderings_Otop__class_Otop(tc_fun(_u6525, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6525), _u6528), _u6529)) | hBOOL(hAPP(hAPP(c_member(_u6526), hAPP(_u6527, _u6528)), hAPP(c_Set_Oimage(_u6525, _u6526, _u6527), _u6529))) )).
% 43.38/43.63 cnf(matrix-3426, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6530), c_Orderings_Otop__class_Otop(tc_fun(_u6530, tc_HOL_Obool)))) | ~c_Fun_Oinj__on(_u6530, _u6530, _u6531, c_Orderings_Otop__class_Otop(tc_fun(_u6530, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6530, _u6530, _u6531), c_Orderings_Otop__class_Otop(tc_fun(_u6530, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u6530, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3427, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6532), c_Orderings_Otop__class_Otop(tc_fun(_u6532, tc_HOL_Obool)))) | ( hAPP(c_Set_Oimage(_u6532, _u6532, _u6533), c_Orderings_Otop__class_Otop(tc_fun(_u6532, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u6532, tc_HOL_Obool))) | c_Fun_Oinj__on(_u6532, _u6532, _u6533, c_Orderings_Otop__class_Otop(tc_fun(_u6532, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3428, plain, ( ~c_Fun_Oinj__on(_u6534, _u6535, _u6536, c_Orderings_Otop__class_Otop(tc_fun(_u6534, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6535, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6534, _u6535, _u6536), _u6537)), hAPP(c_Set_Oimage(_u6534, _u6535, _u6536), _u6538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6534, tc_HOL_Obool)), _u6537), _u6538)) )).
% 43.38/43.63 cnf(matrix-3429, plain, ( ~c_Fun_Oinj__on(_u6534, _u6535, _u6536, c_Orderings_Otop__class_Otop(tc_fun(_u6534, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6534, tc_HOL_Obool)), _u6537), _u6538)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6535, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6534, _u6535, _u6536), _u6537)), hAPP(c_Set_Oimage(_u6534, _u6535, _u6536), _u6538))) )).
% 43.38/43.63 cnf(matrix-3430, plain, ( ~c_Fun_Oinj__on(_u6539, _u6540, _u6541, c_Orderings_Otop__class_Otop(tc_fun(_u6539, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6539, _u6540, _u6541), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6539, tc_HOL_Obool)), _u6542), _u6543)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6540, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6539, _u6540, _u6541), _u6542)), hAPP(c_Set_Oimage(_u6539, _u6540, _u6541), _u6543))) )).
% 43.38/43.63 cnf(matrix-3431, plain, ( ~c_Fun_Oinj__on(_u6544, _u6545, _u6546, c_Orderings_Otop__class_Otop(tc_fun(_u6544, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u6544, _u6545, _u6546), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6544, tc_HOL_Obool)), _u6547), _u6548)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6545, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6544, _u6545, _u6546), _u6547)), hAPP(c_Set_Oimage(_u6544, _u6545, _u6546), _u6548))) )).
% 43.38/43.63 cnf(matrix-3432, plain, ( ~class_Orderings_Olinorder(_u6549) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6549), _u6550)) | ~hBOOL(hAPP(hAPP(c_member(_u6549), _u6551), _u6550)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6549), _u6551), c_Big__Operators_Olinorder__class_OMax(_u6549, _u6550))) )).
% 43.38/43.63 cnf(matrix-3433, plain, ( ~class_Orderings_Olinorder(_u6552) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6552), _u6553)) | ~hBOOL(hAPP(hAPP(c_member(_u6552), _u6554), _u6553)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6552), c_Big__Operators_Olinorder__class_OMin(_u6552, _u6553)), _u6554)) )).
% 43.38/43.63 cnf(matrix-3434, plain, ( ~class_Orderings_Olinorder(_u6555) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6555), _u6556)) | ( _u6556 = c_Orderings_Obot__class_Obot(tc_fun(_u6555, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6555), c_Big__Operators_Olinorder__class_OMin(_u6555, _u6556)), _u6556)) )).
% 43.38/43.63 cnf(matrix-3435, plain, ( ~class_Orderings_Olinorder(_u6557) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6557), _u6558)) | ( _u6558 = c_Orderings_Obot__class_Obot(tc_fun(_u6557, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6557), c_Big__Operators_Olinorder__class_OMax(_u6557, _u6558)), _u6558)) )).
% 43.38/43.63 cnf(matrix-3436, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6559, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u6560)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u6559, tc_HOL_Obool), tc_Nat_Onat), _u6561), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u6562))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6559, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u6562, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u6560), _u6562))), _u6561)) )).
% 43.38/43.63 cnf(matrix-3437, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6563), c_Orderings_Otop__class_Otop(tc_fun(_u6563, 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(_u6563), c_Orderings_Otop__class_Otop(tc_fun(_u6563, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3438, plain, ( ~class_Orderings_Olinorder(_u6564) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6564, tc_HOL_Obool)), _u6565), _u6566)) | ( _u6565 = c_Orderings_Obot__class_Obot(tc_fun(_u6564, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6564), _u6566)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6564), c_Big__Operators_Olinorder__class_OMax(_u6564, _u6565)), c_Big__Operators_Olinorder__class_OMax(_u6564, _u6566))) )).
% 43.38/43.63 cnf(matrix-3439, plain, ( ~class_Orderings_Olinorder(_u6567) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6567, tc_HOL_Obool)), _u6568), _u6569)) | ( _u6568 = c_Orderings_Obot__class_Obot(tc_fun(_u6567, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6567), _u6569)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6567), c_Big__Operators_Olinorder__class_OMin(_u6567, _u6569)), c_Big__Operators_Olinorder__class_OMin(_u6567, _u6568))) )).
% 43.38/43.63 cnf(matrix-3440, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6570), _u6571), _u6572)) | ~hBOOL(hAPP(hAPP(c_member(_u6573), _u6574), hAPP(_u6575, _u6571))) | hBOOL(hAPP(hAPP(c_member(_u6573), _u6574), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6570, tc_fun(_u6573, tc_HOL_Obool)), _u6572), _u6575))) )).
% 43.38/43.63 cnf(matrix-3441, plain, ( ( hAPP(c_Set_Oimage(_u6576, _u6577, _u6578), _u6579) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6576, tc_fun(_u6577, tc_HOL_Obool)), _u6579), hAPP(hAPP(c_COMBC(_u6576, tc_fun(_u6577, tc_HOL_Obool), tc_fun(_u6577, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(_u6577, tc_fun(tc_fun(_u6577, tc_HOL_Obool), tc_fun(_u6577, tc_HOL_Obool)), _u6576), c_Set_Oinsert(_u6577)), _u6578)), c_Orderings_Obot__class_Obot(tc_fun(_u6577, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3442, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u6580, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6581, tc_fun(tc_fun(_u6580, tc_HOL_Obool), tc_HOL_Obool)), _u6582), hAPP(hAPP(c_COMBB(tc_fun(_u6580, tc_HOL_Obool), tc_fun(tc_fun(_u6580, tc_HOL_Obool), tc_HOL_Obool), _u6581), c_Set_OPow(_u6580)), _u6583))), hAPP(c_Set_OPow(_u6580), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6581, tc_fun(_u6580, tc_HOL_Obool)), _u6582), _u6583)))) )).
% 43.38/43.63 cnf(matrix-3443, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6584, tc_fun(_u6585, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u6584), _u6586), _u6587)), _u6588) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6585, tc_HOL_Obool)), hAPP(_u6588, _u6586)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6584, tc_fun(_u6585, tc_HOL_Obool)), _u6587), _u6588))) )).
% 43.38/43.63 cnf(matrix-3444, plain, ( ( _u6594 != c_Orderings_Obot__class_Obot(tc_fun(_u6596, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6596, tc_fun(_u6598, tc_HOL_Obool)), _u6594), hAPP(hAPP(c_COMBB(tc_fun(_u6598, tc_HOL_Obool), tc_fun(_u6598, tc_HOL_Obool), _u6596), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6598, tc_HOL_Obool)), _u6600)), _u6602)) = c_Orderings_Obot__class_Obot(tc_fun(_u6598, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3445, plain, ( ( _u6595 = c_Orderings_Obot__class_Obot(tc_fun(_u6597, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6597, tc_fun(_u6599, tc_HOL_Obool)), _u6595), hAPP(hAPP(c_COMBB(tc_fun(_u6599, tc_HOL_Obool), tc_fun(_u6599, tc_HOL_Obool), _u6597), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6599, tc_HOL_Obool)), _u6601)), _u6603)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6599, tc_HOL_Obool)), _u6601), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6597, tc_fun(_u6599, tc_HOL_Obool)), _u6595), _u6603))) )).
% 43.38/43.63 cnf(matrix-3446, plain, ( ( _u6609 != c_Orderings_Obot__class_Obot(tc_fun(_u6611, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6611, tc_fun(_u6613, tc_HOL_Obool)), _u6609), hAPP(hAPP(c_COMBC(_u6611, tc_fun(_u6613, tc_HOL_Obool), tc_fun(_u6613, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6613, tc_HOL_Obool), tc_fun(tc_fun(_u6613, tc_HOL_Obool), tc_fun(_u6613, tc_HOL_Obool)), _u6611), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6613, tc_HOL_Obool))), _u6615)), _u6617)) = c_Orderings_Obot__class_Obot(tc_fun(_u6613, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3447, plain, ( ( _u6610 = c_Orderings_Obot__class_Obot(tc_fun(_u6612, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6612, tc_fun(_u6614, tc_HOL_Obool)), _u6610), hAPP(hAPP(c_COMBC(_u6612, tc_fun(_u6614, tc_HOL_Obool), tc_fun(_u6614, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6614, tc_HOL_Obool), tc_fun(tc_fun(_u6614, tc_HOL_Obool), tc_fun(_u6614, tc_HOL_Obool)), _u6612), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6614, tc_HOL_Obool))), _u6616)), _u6618)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6614, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6612, tc_fun(_u6614, tc_HOL_Obool)), _u6610), _u6616)), _u6618)) )).
% 43.38/43.63 cnf(matrix-3448, 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)) )).
% 43.38/43.63 cnf(matrix-3449, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint), c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3450, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6632), _u6621), _u6634)) | ~hBOOL(hAPP(hAPP(c_member(_u6630), _u6620), hAPP(_u6636, _u6621))) | hBOOL(hAPP(_u6638, _u6620)) | hBOOL(hAPP(hAPP(c_member(_u6630), skolem183(_u6638, _u6636, _u6634, _u6632, _u6630)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6632, tc_fun(_u6630, tc_HOL_Obool)), _u6634), _u6636))) )).
% 43.38/43.63 cnf(matrix-3451, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6632), _u6621), _u6634)) | ~hBOOL(hAPP(hAPP(c_member(_u6630), _u6620), hAPP(_u6636, _u6621))) | hBOOL(hAPP(_u6638, _u6620)) | ~hBOOL(hAPP(_u6638, skolem183(_u6638, _u6636, _u6634, _u6632, _u6630))) )).
% 43.38/43.63 cnf(matrix-3452, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6631), _u6624), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6633, tc_fun(_u6631, tc_HOL_Obool)), _u6635), _u6637))) | hBOOL(hAPP(_u6639, _u6624)) | hBOOL(hAPP(hAPP(c_member(_u6633), skolem184(_u6639, _u6637, _u6635, _u6633, _u6631)), _u6635)) )).
% 43.38/43.63 cnf(matrix-3453, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6631), _u6624), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6633, tc_fun(_u6631, tc_HOL_Obool)), _u6635), _u6637))) | hBOOL(hAPP(_u6639, _u6624)) | hBOOL(hAPP(hAPP(c_member(_u6631), skolem185(_u6639, _u6637, _u6635, _u6633, _u6631)), hAPP(_u6637, skolem184(_u6639, _u6637, _u6635, _u6633, _u6631)))) )).
% 43.38/43.63 cnf(matrix-3454, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6631), _u6624), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6633, tc_fun(_u6631, tc_HOL_Obool)), _u6635), _u6637))) | hBOOL(hAPP(_u6639, _u6624)) | ~hBOOL(hAPP(_u6639, skolem185(_u6639, _u6637, _u6635, _u6633, _u6631))) )).
% 43.38/43.63 cnf(matrix-3455, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6640) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6641, _u6640), _u6642), hAPP(hAPP(c_COMBB(tc_fun(_u6643, _u6640), _u6640, _u6641), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6643, _u6640), _u6644)), _u6645)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6643, _u6640), _u6644), hAPP(hAPP(c_COMBB(tc_fun(_u6641, _u6640), _u6640, _u6643), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6641, _u6640), _u6642)), hAPP(c_COMBC(_u6641, _u6643, _u6640), _u6645)))) )).
% 43.38/43.63 cnf(matrix-3456, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6646, tc_fun(_u6647, tc_HOL_Obool)), _u6648), hAPP(hAPP(c_COMBC(_u6646, tc_fun(_u6649, tc_fun(_u6647, tc_HOL_Obool)), tc_fun(_u6647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6649, tc_HOL_Obool), tc_fun(tc_fun(_u6649, tc_fun(_u6647, tc_HOL_Obool)), tc_fun(_u6647, tc_HOL_Obool)), _u6646), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6649, tc_fun(_u6647, tc_HOL_Obool))), _u6650)), _u6651)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6649, tc_fun(_u6647, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6646, tc_fun(_u6649, tc_HOL_Obool)), _u6648), _u6650)), _u6651)) )).
% 43.38/43.63 cnf(matrix-3457, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6652, tc_fun(_u6653, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6654, tc_fun(_u6652, tc_HOL_Obool)), _u6655), _u6656)), _u6657) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6654, tc_fun(_u6653, tc_HOL_Obool)), _u6655), hAPP(hAPP(c_COMBC(_u6654, tc_fun(_u6652, tc_fun(_u6653, tc_HOL_Obool)), tc_fun(_u6653, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6652, tc_HOL_Obool), tc_fun(tc_fun(_u6652, tc_fun(_u6653, tc_HOL_Obool)), tc_fun(_u6653, tc_HOL_Obool)), _u6654), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6652, tc_fun(_u6653, tc_HOL_Obool))), _u6656)), _u6657))) )).
% 43.38/43.63 cnf(matrix-3458, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6658, tc_fun(_u6659, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6660, tc_fun(_u6658, tc_HOL_Obool)), _u6661), _u6662)), _u6663) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6660, tc_fun(_u6659, tc_HOL_Obool)), _u6661), hAPP(hAPP(c_COMBC(_u6660, tc_fun(_u6658, tc_fun(_u6659, tc_HOL_Obool)), tc_fun(_u6659, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6658, tc_HOL_Obool), tc_fun(tc_fun(_u6658, tc_fun(_u6659, tc_HOL_Obool)), tc_fun(_u6659, tc_HOL_Obool)), _u6660), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6658, tc_fun(_u6659, tc_HOL_Obool))), _u6662)), _u6663))) )).
% 43.38/43.63 cnf(matrix-3459, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6666) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6667, _u6666), _u6668), _u6669)), _u6670)) | ~hBOOL(hAPP(hAPP(c_member(_u6667), _u6664), _u6668)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(_u6669, _u6664)), _u6670)) )).
% 43.38/43.63 cnf(matrix-3460, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6666) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6667, _u6666), _u6668), _u6669)), _u6670)) | hBOOL(hAPP(hAPP(c_member(_u6667), skolem186(_u6670, _u6669, _u6668, _u6667, _u6666)), _u6668)) )).
% 43.38/43.63 cnf(matrix-3461, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6666) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6667, _u6666), _u6668), _u6669)), _u6670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6666), hAPP(_u6669, skolem186(_u6670, _u6669, _u6668, _u6667, _u6666))), _u6670)) )).
% 43.38/43.63 cnf(matrix-3462, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6673) | ~class_Orderings_Olinorder(_u6673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6675, _u6673), _u6676), _u6677))) | hBOOL(hAPP(hAPP(c_member(_u6675), skolem187(_u6677, _u6676, _u6675, _u6674, _u6673)), _u6676)) )).
% 43.38/43.63 cnf(matrix-3463, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6673) | ~class_Orderings_Olinorder(_u6673) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6675, _u6673), _u6676), _u6677))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(_u6677, skolem187(_u6677, _u6676, _u6675, _u6674, _u6673)))) )).
% 43.38/43.63 cnf(matrix-3464, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6673) | ~class_Orderings_Olinorder(_u6673) | ~hBOOL(hAPP(hAPP(c_member(_u6675), _u6672), _u6676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(_u6677, _u6672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u6673), _u6674), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6675, _u6673), _u6676), _u6677))) )).
% 43.38/43.63 cnf(matrix-3465, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6685), _u6687), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6689, tc_fun(_u6685, tc_HOL_Obool)), _u6691), _u6693))) | hBOOL(hAPP(hAPP(c_member(_u6689), skolem188(_u6693, _u6691, _u6689, _u6687, _u6685)), _u6691)) )).
% 43.38/43.63 cnf(matrix-3466, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6685), _u6687), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6689, tc_fun(_u6685, tc_HOL_Obool)), _u6691), _u6693))) | hBOOL(hAPP(hAPP(c_member(_u6685), _u6687), hAPP(_u6693, skolem188(_u6693, _u6691, _u6689, _u6687, _u6685)))) )).
% 43.38/43.63 cnf(matrix-3467, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6690), _u6679), _u6692)) | ~hBOOL(hAPP(hAPP(c_member(_u6686), _u6688), hAPP(_u6694, _u6679))) | hBOOL(hAPP(hAPP(c_member(_u6686), _u6688), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6690, tc_fun(_u6686, tc_HOL_Obool)), _u6692), _u6694))) )).
% 43.38/43.63 cnf(matrix-3468, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6695) | ( _u6696 = c_Orderings_Obot__class_Obot(tc_fun(_u6697, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6697, _u6695), _u6696), hAPP(c_COMBK(_u6695, _u6697), _u6698)) = _u6698) )).
% 43.38/43.63 cnf(matrix-3469, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6705, tc_fun(_u6707, tc_HOL_Obool)), _u6709), _u6711) != c_Orderings_Obot__class_Obot(tc_fun(_u6707, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u6705), _u6699), _u6709)) | ( hAPP(_u6711, _u6699) = c_Orderings_Obot__class_Obot(tc_fun(_u6707, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3470, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6706, tc_fun(_u6708, tc_HOL_Obool)), _u6710), _u6712) = c_Orderings_Obot__class_Obot(tc_fun(_u6708, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u6706), skolem189(_u6712, _u6710, _u6708, _u6706)), _u6710)) )).
% 43.38/43.63 cnf(matrix-3471, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6706, tc_fun(_u6708, tc_HOL_Obool)), _u6710), _u6712) = c_Orderings_Obot__class_Obot(tc_fun(_u6708, tc_HOL_Obool))) | ( hAPP(_u6712, skolem189(_u6712, _u6710, _u6708, _u6706)) != c_Orderings_Obot__class_Obot(tc_fun(_u6708, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3472, plain, ( ( _u6717 != c_Orderings_Obot__class_Obot(tc_fun(_u6719, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6719, tc_fun(_u6721, tc_HOL_Obool)), _u6717), hAPP(c_COMBK(tc_fun(_u6721, tc_HOL_Obool), _u6719), _u6723)) = c_Orderings_Obot__class_Obot(tc_fun(_u6721, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3473, plain, ( ( _u6718 = c_Orderings_Obot__class_Obot(tc_fun(_u6720, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6720, tc_fun(_u6722, tc_HOL_Obool)), _u6718), hAPP(c_COMBK(tc_fun(_u6722, tc_HOL_Obool), _u6720), _u6724)) = _u6724) )).
% 43.38/43.63 cnf(matrix-3474, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6725, tc_fun(_u6726, tc_HOL_Obool)), _u6727), hAPP(c_COMBK(tc_fun(_u6726, tc_HOL_Obool), _u6725), c_Orderings_Obot__class_Obot(tc_fun(_u6726, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u6726, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3475, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u6734, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6736, tc_fun(_u6734, tc_HOL_Obool)), _u6738), _u6740)) | ~hBOOL(hAPP(hAPP(c_member(_u6736), _u6728), _u6738)) | ( hAPP(_u6740, _u6728) = c_Orderings_Obot__class_Obot(tc_fun(_u6734, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3476, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u6735, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6737, tc_fun(_u6735, tc_HOL_Obool)), _u6739), _u6741)) | hBOOL(hAPP(hAPP(c_member(_u6737), skolem190(_u6741, _u6739, _u6737, _u6735)), _u6739)) )).
% 43.38/43.63 cnf(matrix-3477, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u6735, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6737, tc_fun(_u6735, tc_HOL_Obool)), _u6739), _u6741)) | ( hAPP(_u6741, skolem190(_u6741, _u6739, _u6737, _u6735)) != c_Orderings_Obot__class_Obot(tc_fun(_u6735, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3478, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6749, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6751, tc_fun(_u6749, tc_HOL_Obool)), _u6753), _u6755)), _u6757)) | ~hBOOL(hAPP(hAPP(c_member(_u6751), _u6742), _u6753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6749, tc_HOL_Obool)), hAPP(_u6755, _u6742)), _u6757)) )).
% 43.38/43.63 cnf(matrix-3479, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6750, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6752, tc_fun(_u6750, tc_HOL_Obool)), _u6754), _u6756)), _u6758)) | hBOOL(hAPP(hAPP(c_member(_u6752), skolem191(_u6758, _u6756, _u6754, _u6752, _u6750)), _u6754)) )).
% 43.38/43.63 cnf(matrix-3480, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6750, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6752, tc_fun(_u6750, tc_HOL_Obool)), _u6754), _u6756)), _u6758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6750, tc_HOL_Obool)), hAPP(_u6756, skolem191(_u6758, _u6756, _u6754, _u6752, _u6750))), _u6758)) )).
% 43.38/43.63 cnf(matrix-3481, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6759, tc_fun(_u6760, tc_HOL_Obool)), _u6761), hAPP(hAPP(c_COMBB(_u6762, tc_fun(_u6760, tc_HOL_Obool), _u6759), _u6763), _u6764)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6762, tc_fun(_u6760, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6759, _u6762, _u6764), _u6761)), _u6763)) )).
% 43.38/43.63 cnf(matrix-3482, plain, ( ( hAPP(c_Set_Oimage(_u6765, _u6766, _u6767), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6768, tc_fun(_u6765, tc_HOL_Obool)), _u6769), _u6770)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6768, tc_fun(_u6766, tc_HOL_Obool)), _u6769), hAPP(hAPP(c_COMBB(tc_fun(_u6765, tc_HOL_Obool), tc_fun(_u6766, tc_HOL_Obool), _u6768), c_Set_Oimage(_u6765, _u6766, _u6767)), _u6770))) )).
% 43.38/43.63 cnf(matrix-3483, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6771, tc_fun(_u6772, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u6773, _u6771, _u6774), _u6775)), _u6776) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6773, tc_fun(_u6772, tc_HOL_Obool)), _u6775), hAPP(hAPP(c_COMBB(_u6771, tc_fun(_u6772, tc_HOL_Obool), _u6773), _u6776), _u6774))) )).
% 43.38/43.63 cnf(matrix-3484, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6777, tc_fun(_u6778, tc_HOL_Obool)), _u6779), hAPP(hAPP(c_COMBS(_u6777, tc_fun(_u6778, tc_HOL_Obool), tc_fun(_u6778, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6778, tc_HOL_Obool), tc_fun(tc_fun(_u6778, tc_HOL_Obool), tc_fun(_u6778, tc_HOL_Obool)), _u6777), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6778, tc_HOL_Obool))), _u6780)), _u6781)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6778, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6777, tc_fun(_u6778, tc_HOL_Obool)), _u6779), _u6780)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6777, tc_fun(_u6778, tc_HOL_Obool)), _u6779), _u6781))) )).
% 43.38/43.63 cnf(matrix-3485, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6782, tc_fun(_u6783, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6782, tc_HOL_Obool)), _u6784), _u6785)), _u6786) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6783, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6782, tc_fun(_u6783, tc_HOL_Obool)), _u6784), _u6786)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6782, tc_fun(_u6783, tc_HOL_Obool)), _u6785), _u6786))) )).
% 43.38/43.63 cnf(matrix-3486, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6787, tc_fun(_u6788, tc_HOL_Obool)), _u6789), hAPP(hAPP(c_COMBB(tc_fun(_u6788, tc_HOL_Obool), tc_fun(_u6788, tc_HOL_Obool), _u6787), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6788, tc_HOL_Obool)), _u6790)), _u6791)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6788, tc_HOL_Obool)), _u6790), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6787, tc_fun(_u6788, tc_HOL_Obool)), _u6789), _u6791))) )).
% 43.38/43.63 cnf(matrix-3487, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6792, tc_fun(_u6793, tc_HOL_Obool)), _u6794), hAPP(hAPP(c_COMBC(_u6792, tc_fun(_u6793, tc_HOL_Obool), tc_fun(_u6793, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6793, tc_HOL_Obool), tc_fun(tc_fun(_u6793, tc_HOL_Obool), tc_fun(_u6793, tc_HOL_Obool)), _u6792), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6793, tc_HOL_Obool))), _u6795)), _u6796)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6793, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6792, tc_fun(_u6793, tc_HOL_Obool)), _u6794), _u6795)), _u6796)) )).
% 43.38/43.63 cnf(matrix-3488, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6797, tc_HOL_Obool)), _u6798), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6799, tc_fun(_u6797, tc_HOL_Obool)), _u6800), _u6801)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6799, tc_fun(_u6797, tc_HOL_Obool)), _u6800), hAPP(hAPP(c_COMBB(tc_fun(_u6797, tc_HOL_Obool), tc_fun(_u6797, tc_HOL_Obool), _u6799), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6797, tc_HOL_Obool)), _u6798)), _u6801))) )).
% 43.38/43.63 cnf(matrix-3489, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6802, tc_HOL_Obool)), _u6803), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6804, tc_fun(_u6802, tc_HOL_Obool)), _u6805), _u6806)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6804, tc_fun(_u6802, tc_HOL_Obool)), _u6805), hAPP(hAPP(c_COMBB(tc_fun(_u6802, tc_HOL_Obool), tc_fun(_u6802, tc_HOL_Obool), _u6804), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6802, tc_HOL_Obool)), _u6803)), _u6806))) )).
% 43.38/43.63 cnf(matrix-3490, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6807, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6808, tc_fun(_u6807, tc_HOL_Obool)), _u6809), _u6810)), _u6811) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6808, tc_fun(_u6807, tc_HOL_Obool)), _u6809), hAPP(hAPP(c_COMBC(_u6808, tc_fun(_u6807, tc_HOL_Obool), tc_fun(_u6807, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6807, tc_HOL_Obool), tc_fun(tc_fun(_u6807, tc_HOL_Obool), tc_fun(_u6807, tc_HOL_Obool)), _u6808), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6807, tc_HOL_Obool))), _u6810)), _u6811))) )).
% 43.38/43.63 cnf(matrix-3491, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6812, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6813, tc_fun(_u6812, tc_HOL_Obool)), _u6814), _u6815)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6816, tc_fun(_u6812, tc_HOL_Obool)), _u6817), _u6818)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6813, tc_fun(_u6812, tc_HOL_Obool)), _u6814), hAPP(hAPP(c_COMBB(tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool)), tc_fun(_u6812, tc_HOL_Obool), _u6813), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6816, tc_fun(_u6812, tc_HOL_Obool)), _u6817)), hAPP(hAPP(c_COMBC(_u6813, tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool)), tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u6812, tc_HOL_Obool), tc_fun(_u6812, tc_HOL_Obool)), tc_fun(tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool)), tc_fun(_u6816, tc_fun(_u6812, tc_HOL_Obool))), _u6813), c_COMBB(tc_fun(_u6812, tc_HOL_Obool), tc_fun(_u6812, tc_HOL_Obool), _u6816)), hAPP(hAPP(c_COMBB(tc_fun(_u6812, tc_HOL_Obool), tc_fun(tc_fun(_u6812, tc_HOL_Obool), tc_fun(_u6812, tc_HOL_Obool)), _u6813), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u6812, tc_HOL_Obool))), _u6815))), _u6818)))) )).
% 43.38/43.63 cnf(matrix-3492, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6819) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6820, tc_fun(_u6821, _u6819)), _u6822), _u6823), _u6824) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6820, _u6819), _u6822), hAPP(hAPP(c_COMBC(_u6820, _u6821, _u6819), _u6823), _u6824))) )).
% 43.38/43.63 cnf(matrix-3493, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6825, tc_fun(_u6826, tc_HOL_Obool)), _u6827), hAPP(hAPP(c_COMBC(_u6825, tc_fun(_u6826, tc_HOL_Obool), tc_fun(_u6826, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6826, tc_HOL_Obool), tc_fun(tc_fun(_u6826, tc_HOL_Obool), tc_fun(_u6826, tc_HOL_Obool)), _u6825), c_Groups_Ominus__class_Ominus(tc_fun(_u6826, tc_HOL_Obool))), _u6828)), _u6829)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6826, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6825, tc_fun(_u6826, tc_HOL_Obool)), _u6827), _u6828)), _u6829)) )).
% 43.38/43.63 cnf(matrix-3494, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6830, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6831, tc_fun(_u6830, tc_HOL_Obool)), _u6832), _u6833)), _u6834) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6831, tc_fun(_u6830, tc_HOL_Obool)), _u6832), hAPP(hAPP(c_COMBC(_u6831, tc_fun(_u6830, tc_HOL_Obool), tc_fun(_u6830, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6830, tc_HOL_Obool), tc_fun(tc_fun(_u6830, tc_HOL_Obool), tc_fun(_u6830, tc_HOL_Obool)), _u6831), c_Groups_Ominus__class_Ominus(tc_fun(_u6830, tc_HOL_Obool))), _u6833)), _u6834))) )).
% 43.38/43.63 cnf(matrix-3495, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6835) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6836, tc_HOL_Obool)), _u6837), _u6838)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6835), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6836, _u6835), _u6837), _u6839)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6836, _u6835), _u6838), _u6839))) )).
% 43.38/43.63 cnf(matrix-3496, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u6840) | ~hBOOL(hAPP(hAPP(c_member(_u6841), _u6842), _u6843)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u6840), hAPP(_u6844, _u6842)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6841, _u6840), _u6843), _u6844))) )).
% 43.38/43.63 cnf(matrix-3497, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6845), _u6846), _u6847)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6845, tc_fun(_u6848, tc_HOL_Obool)), _u6847), hAPP(hAPP(c_COMBB(tc_fun(_u6848, tc_HOL_Obool), tc_fun(_u6848, tc_HOL_Obool), _u6845), hAPP(c_Set_Oinsert(_u6848), _u6849)), _u6850)) = hAPP(hAPP(c_Set_Oinsert(_u6848), _u6849), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6845, tc_fun(_u6848, tc_HOL_Obool)), _u6847), _u6850))) )).
% 43.38/43.63 cnf(matrix-3498, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6851), _u6852), _u6853)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6854, tc_HOL_Obool)), hAPP(_u6855, _u6852)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6851, tc_fun(_u6854, tc_HOL_Obool)), _u6853), _u6855))) )).
% 43.38/43.63 cnf(matrix-3499, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6856), _u6857), _u6858)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6859, tc_HOL_Obool)), hAPP(_u6860, _u6857)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6856, tc_fun(_u6859, tc_HOL_Obool)), _u6858), _u6860)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6856, tc_fun(_u6859, tc_HOL_Obool)), _u6858), _u6860)) )).
% 43.38/43.63 cnf(matrix-3500, plain, ( ( _u6866 != c_Orderings_Obot__class_Obot(tc_fun(_u6868, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6868, tc_fun(_u6870, tc_HOL_Obool)), _u6866), hAPP(hAPP(c_COMBB(tc_fun(_u6870, tc_HOL_Obool), tc_fun(_u6870, tc_HOL_Obool), _u6868), hAPP(c_Set_Oinsert(_u6870), _u6872)), _u6874)) = c_Orderings_Obot__class_Obot(tc_fun(_u6870, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3501, plain, ( ( _u6867 = c_Orderings_Obot__class_Obot(tc_fun(_u6869, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6869, tc_fun(_u6871, tc_HOL_Obool)), _u6867), hAPP(hAPP(c_COMBB(tc_fun(_u6871, tc_HOL_Obool), tc_fun(_u6871, tc_HOL_Obool), _u6869), hAPP(c_Set_Oinsert(_u6871), _u6873)), _u6875)) = hAPP(hAPP(c_Set_Oinsert(_u6871), _u6873), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6869, tc_fun(_u6871, tc_HOL_Obool)), _u6867), _u6875))) )).
% 43.38/43.63 cnf(matrix-3502, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6876, tc_fun(_u6876, tc_HOL_Obool)), _u6877), hAPP(hAPP(c_COMBC(_u6876, tc_fun(_u6876, tc_HOL_Obool), tc_fun(_u6876, tc_HOL_Obool)), c_Set_Oinsert(_u6876)), c_Orderings_Obot__class_Obot(tc_fun(_u6876, tc_HOL_Obool)))) = _u6877) )).
% 43.38/43.63 cnf(matrix-3503, plain, ( ( _u6883 != c_Orderings_Obot__class_Obot(tc_fun(_u6885, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u6887), _u6889), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6885, tc_fun(_u6887, tc_HOL_Obool)), _u6883), _u6891)) = hAPP(hAPP(c_Set_Oinsert(_u6887), _u6889), c_Orderings_Obot__class_Obot(tc_fun(_u6887, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3504, plain, ( ( _u6884 = c_Orderings_Obot__class_Obot(tc_fun(_u6886, tc_HOL_Obool))) | ( hAPP(hAPP(c_Set_Oinsert(_u6888), _u6890), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6886, tc_fun(_u6888, tc_HOL_Obool)), _u6884), _u6892)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6886, tc_fun(_u6888, tc_HOL_Obool)), _u6884), hAPP(hAPP(c_COMBB(tc_fun(_u6888, tc_HOL_Obool), tc_fun(_u6888, tc_HOL_Obool), _u6886), hAPP(c_Set_Oinsert(_u6888), _u6890)), _u6892))) )).
% 43.38/43.63 cnf(matrix-3505, plain, ( ( _u6898 != c_Orderings_Obot__class_Obot(tc_fun(_u6900, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6902, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6900, tc_fun(_u6902, tc_HOL_Obool)), _u6898), _u6904)), _u6906) = _u6906) )).
% 43.38/43.63 cnf(matrix-3506, plain, ( ( _u6899 = c_Orderings_Obot__class_Obot(tc_fun(_u6901, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6903, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6901, tc_fun(_u6903, tc_HOL_Obool)), _u6899), _u6905)), _u6907) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6901, tc_fun(_u6903, tc_HOL_Obool)), _u6899), hAPP(hAPP(c_COMBC(_u6901, tc_fun(_u6903, tc_HOL_Obool), tc_fun(_u6903, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u6903, tc_HOL_Obool), tc_fun(tc_fun(_u6903, tc_HOL_Obool), tc_fun(_u6903, tc_HOL_Obool)), _u6901), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6903, tc_HOL_Obool))), _u6905)), _u6907))) )).
% 43.38/43.63 cnf(matrix-3507, plain, ( ( _u6913 != c_Orderings_Obot__class_Obot(tc_fun(_u6915, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6917, tc_HOL_Obool)), _u6919), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6915, tc_fun(_u6917, tc_HOL_Obool)), _u6913), _u6921)) = _u6919) )).
% 43.38/43.63 cnf(matrix-3508, plain, ( ( _u6914 = c_Orderings_Obot__class_Obot(tc_fun(_u6916, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6918, tc_HOL_Obool)), _u6920), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6916, tc_fun(_u6918, tc_HOL_Obool)), _u6914), _u6922)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6916, tc_fun(_u6918, tc_HOL_Obool)), _u6914), hAPP(hAPP(c_COMBB(tc_fun(_u6918, tc_HOL_Obool), tc_fun(_u6918, tc_HOL_Obool), _u6916), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u6918, tc_HOL_Obool)), _u6920)), _u6922))) )).
% 43.38/43.63 cnf(matrix-3509, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6924, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6924, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem192(_u6927, _u6926, _u6925, _u6924))), _u6925)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6924, 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), skolem192(_u6927, _u6926, _u6925, _u6924)), _u6926))), _u6927))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6924, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6924, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6925)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6924, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6927))) )).
% 43.38/43.63 cnf(matrix-3510, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6929, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem193(_u6932, _u6931, _u6930, _u6929))), _u6930) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6929, 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), skolem193(_u6932, _u6931, _u6930, _u6929)), _u6931))), _u6932)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6929, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6930) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6929, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6932)) )).
% 43.38/43.63 cnf(matrix-3511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6934, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6934, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem194(_u6936, _u6935, _u6934))), _u6935)), _u6936)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6934, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(_u6934, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), _u6935)), _u6936)) )).
% 43.38/43.63 cnf(matrix-3512, plain, ( hBOOL(hAPP(hAPP(c_member(_u6937), _u6938), c_Orderings_Otop__class_Otop(tc_fun(_u6937, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3513, plain, ( ~c_Fun_Oinj__on(_u6939, _u6940, _u6941, c_Orderings_Otop__class_Otop(tc_fun(_u6939, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u6939, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u6939, _u6940, _u6941), hAPP(hAPP(c_Set_Oinsert(_u6940), _u6942), c_Orderings_Obot__class_Obot(tc_fun(_u6940, tc_HOL_Obool))))), hAPP(hAPP(c_Set_Oinsert(_u6939), c_HOL_OThe(_u6939, hAPP(hAPP(c_COMBC(_u6939, _u6940, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u6940, tc_fun(_u6940, tc_HOL_Obool), _u6939), c_fequal), _u6941)), _u6942))), c_Orderings_Obot__class_Obot(tc_fun(_u6939, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3514, plain, ( ~class_Orderings_Olinorder(_u6943) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6943), _u6944)) | ~hBOOL(hAPP(hAPP(c_member(_u6943), _u6945), _u6944)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6943, tc_HOL_Obool)), _u6944), hAPP(hAPP(c_Set_Oinsert(_u6943), _u6945), c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u6943, _u6944) = _u6945) )).
% 43.38/43.63 cnf(matrix-3515, plain, ( ~class_Orderings_Olinorder(_u6943) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u6943), _u6944)) | ~hBOOL(hAPP(hAPP(c_member(_u6943), _u6945), _u6944)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6943, tc_HOL_Obool)), _u6944), hAPP(hAPP(c_Set_Oinsert(_u6943), _u6945), c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u6943, _u6944) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6943), _u6945), c_Big__Operators_Olinorder__class_OMin(_u6943, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u6943, tc_HOL_Obool)), _u6944), hAPP(hAPP(c_Set_Oinsert(_u6943), _u6945), c_Orderings_Obot__class_Obot(tc_fun(_u6943, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-3516, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u6946), _u6947), _u6948)) | ~hBOOL(hAPP(hAPP(hAPP(_u6949, _u6947), _u6950), _u6951)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u6946, tc_fun(_u6952, tc_fun(_u6953, tc_HOL_Obool))), _u6948), _u6949), _u6950), _u6951)) )).
% 43.38/43.63 cnf(matrix-3517, plain, ( ( hAPP(_u6954, _u6955) != _u6956) | ~hBOOL(hAPP(hAPP(c_member(_u6957), _u6956), _u6958)) | hBOOL(hAPP(hAPP(c_member(_u6959), _u6955), hAPP(c_Set_Ovimage(_u6959, _u6957, _u6954), _u6958))) )).
% 43.38/43.63 cnf(matrix-3518, plain, ( ~class_Orderings_Olinorder(_u6960) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6960), _u6961), _u6961) = _u6961) )).
% 43.38/43.63 cnf(matrix-3519, plain, ( ~class_Orderings_Olinorder(_u6962) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6962), _u6963), _u6964) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6962), _u6964), _u6963)) )).
% 43.38/43.63 cnf(matrix-3520, plain, ( ~class_Orderings_Olinorder(_u6965) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6965), _u6966), _u6967) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6965), _u6967), _u6966)) )).
% 43.38/43.63 cnf(matrix-3521, plain, ( ~class_Orderings_Olinorder(_u6968) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6968), _u6969), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6968), _u6969), _u6970)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6968), _u6969), _u6970)) )).
% 43.38/43.63 cnf(matrix-3522, plain, ( ~class_Orderings_Olinorder(_u6971) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6971), _u6972), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6971), _u6972), _u6973)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6971), _u6972), _u6973)) )).
% 43.38/43.63 cnf(matrix-3523, plain, ( ~class_Orderings_Olinorder(_u6974) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6974), _u6975), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6974), _u6976), _u6977)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6974), _u6976), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6974), _u6975), _u6977))) )).
% 43.38/43.63 cnf(matrix-3524, plain, ( ~class_Orderings_Olinorder(_u6978) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6978), _u6979), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6978), _u6980), _u6981)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6978), _u6980), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6978), _u6979), _u6981))) )).
% 43.38/43.63 cnf(matrix-3525, plain, ( ~class_Orderings_Olinorder(_u6982) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6982), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6982), _u6983), _u6984)), _u6985) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6982), _u6983), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6982), _u6984), _u6985))) )).
% 43.38/43.63 cnf(matrix-3526, plain, ( ~class_Orderings_Olinorder(_u6986) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), _u6988)), _u6989) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6987), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u6986), _u6988), _u6989))) )).
% 43.38/43.63 cnf(matrix-3527, plain, ( hBOOL(hAPP(_u7001, hAPP(_u6999, _u7003))) | ~hBOOL(hAPP(hAPP(c_Set_Ovimage(_u6995, _u6997, _u6999), _u7001), _u7003)) )).
% 43.38/43.63 cnf(matrix-3528, plain, ( ~hBOOL(hAPP(_u7002, hAPP(_u7000, _u7004))) | hBOOL(hAPP(hAPP(c_Set_Ovimage(_u6996, _u6998, _u7000), _u7002), _u7004)) )).
% 43.38/43.63 cnf(matrix-3529, plain, ( ~class_Orderings_Olinorder(_u7005) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7005), _u7006), _u7006) = _u7006) )).
% 43.38/43.63 cnf(matrix-3530, plain, ( ( hAPP(c_Set_Ovimage(_u7007, _u7007, c_COMBI(_u7007)), _u7008) = _u7008) )).
% 43.38/43.63 cnf(matrix-3531, plain, ( ~class_Orderings_Olinorder(_u7009) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7009), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7009), _u7010), _u7011)), _u7010)) )).
% 43.38/43.63 cnf(matrix-3532, plain, ( ~class_Orderings_Olinorder(_u7012) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7012), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7012), _u7013), _u7014)), _u7014)) )).
% 43.38/43.63 cnf(matrix-3533, plain, ( ~class_Orderings_Olinorder(_u7015) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7015), _u7016), _u7017)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7015), _u7016), _u7017) = _u7016) )).
% 43.38/43.63 cnf(matrix-3534, plain, ( ~class_Orderings_Olinorder(_u7015) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7015), _u7016), _u7017) != _u7016) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7015), _u7016), _u7017)) )).
% 43.38/43.63 cnf(matrix-3535, plain, ( ~class_Orderings_Olinorder(_u7018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7018), _u7020), _u7021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), _u7020)) )).
% 43.38/43.63 cnf(matrix-3536, plain, ( ~class_Orderings_Olinorder(_u7018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7018), _u7020), _u7021))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), _u7021)) )).
% 43.38/43.63 cnf(matrix-3537, plain, ( ~class_Orderings_Olinorder(_u7018) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), _u7020)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), _u7021)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7018), _u7019), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7018), _u7020), _u7021))) )).
% 43.38/43.63 cnf(matrix-3538, plain, ( ~class_Orderings_Olinorder(_u7022) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7023), _u7024)), _u7025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), _u7023), _u7025)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), _u7024), _u7025)) )).
% 43.38/43.63 cnf(matrix-3539, plain, ( ~class_Orderings_Olinorder(_u7022) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7023), _u7024)), _u7025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), _u7023), _u7025)) )).
% 43.38/43.63 cnf(matrix-3540, plain, ( ~class_Orderings_Olinorder(_u7022) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7022), _u7023), _u7024)), _u7025)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7022), _u7024), _u7025)) )).
% 43.38/43.63 cnf(matrix-3541, plain, ( ~class_Orderings_Olinorder(_u7026) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7026), _u7027), _u7028)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7026), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7026), _u7027), _u7029)), _u7028)) )).
% 43.38/43.63 cnf(matrix-3542, plain, ( ~class_Orderings_Olinorder(_u7030) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7030), _u7031), _u7032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7030), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7030), _u7033), _u7031)), _u7032)) )).
% 43.38/43.63 cnf(matrix-3543, plain, ( ~class_Orderings_Olinorder(_u7034) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7034), _u7035), _u7036)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7034), _u7035), _u7036) = _u7035) )).
% 43.38/43.63 cnf(matrix-3544, plain, ( ~class_Orderings_Olinorder(_u7037) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7037), _u7038), _u7039)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7037), _u7039), _u7038) = _u7038) )).
% 43.38/43.63 cnf(matrix-3545, plain, ( ~class_Orderings_Olinorder(_u7040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7040), _u7041), _u7042)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7040), _u7041), _u7043)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7040), _u7041), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7040), _u7042), _u7043))) )).
% 43.38/43.63 cnf(matrix-3546, plain, ( ~class_Orderings_Olinorder(_u7044) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), _u7045), _u7046)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), _u7045), _u7047)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7044), _u7045), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7044), _u7046), _u7047))) )).
% 43.38/43.63 cnf(matrix-3547, plain, ( ~class_Orderings_Olinorder(_u7048) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), _u7049), _u7050)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), _u7051), _u7052)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7048), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7048), _u7049), _u7051)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7048), _u7050), _u7052))) )).
% 43.38/43.63 cnf(matrix-3548, plain, ( ~class_Orderings_Olinorder(_u7053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7053), _u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7053), _u7055), _u7056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7053), _u7054), _u7055)) )).
% 43.38/43.63 cnf(matrix-3549, plain, ( ~class_Orderings_Olinorder(_u7053) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7053), _u7054), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7053), _u7055), _u7056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7053), _u7054), _u7056)) )).
% 43.38/43.63 cnf(matrix-3550, plain, ( ~class_Orderings_Olinorder(_u7057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7057), _u7059), _u7060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), _u7059)) )).
% 43.38/43.63 cnf(matrix-3551, plain, ( ~class_Orderings_Olinorder(_u7057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7057), _u7059), _u7060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), _u7060)) )).
% 43.38/43.63 cnf(matrix-3552, plain, ( ~class_Orderings_Olinorder(_u7057) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), _u7059)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), _u7060)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7057), _u7058), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7057), _u7059), _u7060))) )).
% 43.38/43.63 cnf(matrix-3553, plain, ( ~class_Orderings_Olinorder(_u7061) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7061), _u7062), _u7063)), _u7064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), _u7062), _u7064)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), _u7063), _u7064)) )).
% 43.38/43.63 cnf(matrix-3554, plain, ( ~class_Orderings_Olinorder(_u7061) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7061), _u7062), _u7063)), _u7064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), _u7062), _u7064)) )).
% 43.38/43.63 cnf(matrix-3555, plain, ( ~class_Orderings_Olinorder(_u7061) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7061), _u7062), _u7063)), _u7064)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7061), _u7063), _u7064)) )).
% 43.38/43.63 cnf(matrix-3556, plain, ( ~class_Orderings_Olinorder(_u7065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7065), _u7066), _u7067)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7065), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7065), _u7066), _u7068)), _u7067)) )).
% 43.38/43.63 cnf(matrix-3557, plain, ( ~class_Orderings_Olinorder(_u7069) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7069), _u7070), _u7071)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7069), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7069), _u7072), _u7070)), _u7071)) )).
% 43.38/43.63 cnf(matrix-3558, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u7073) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7073), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7073), _u7074), _u7075)), _u7076) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7073), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7073), _u7074), _u7076)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7073), _u7075), _u7076))) )).
% 43.38/43.63 cnf(matrix-3559, plain, ( ~class_Groups_Oordered__ab__group__add(_u7077) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7077), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7077), _u7078), _u7079)), _u7080) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7077), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7077), _u7078), _u7080)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7077), _u7079), _u7080))) )).
% 43.38/43.63 cnf(matrix-3560, plain, ( hBOOL(hAPP(hAPP(c_member(_u7090), hAPP(_u7092, _u7088)), _u7094)) | ~hBOOL(hAPP(hAPP(c_member(_u7086), _u7088), hAPP(c_Set_Ovimage(_u7086, _u7090, _u7092), _u7094))) )).
% 43.38/43.63 cnf(matrix-3561, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7091), hAPP(_u7093, _u7089)), _u7095)) | hBOOL(hAPP(hAPP(c_member(_u7087), _u7089), hAPP(c_Set_Ovimage(_u7087, _u7091, _u7093), _u7095))) )).
% 43.38/43.63 cnf(matrix-3562, plain, ( hBOOL(hAPP(hAPP(c_member(_u7098), hAPP(_u7099, _u7097)), _u7100)) | ~hBOOL(hAPP(hAPP(c_member(_u7096), _u7097), hAPP(c_Set_Ovimage(_u7096, _u7098, _u7099), _u7100))) )).
% 43.38/43.63 cnf(matrix-3563, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7101), hAPP(_u7102, _u7103)), _u7104)) | hBOOL(hAPP(hAPP(c_member(_u7105), _u7103), hAPP(c_Set_Ovimage(_u7105, _u7101, _u7102), _u7104))) )).
% 43.38/43.63 cnf(matrix-3564, plain, ( ~class_Lattices_Osemilattice__inf(_u7106) | ~class_Orderings_Olinorder(_u7106) | ( c_Lattices_Osemilattice__inf__class_Oinf(_u7106) = c_Orderings_Oord__class_Omin(_u7106)) )).
% 43.38/43.63 cnf(matrix-3565, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7107) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-3566, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7108), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-3567, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7109)), hAPP(c_Nat_OSuc, _u7110)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7109), _u7110))) )).
% 43.38/43.63 cnf(matrix-3568, plain, ( ( hAPP(c_Set_Ovimage(_u7111, _u7112, _u7113), c_Orderings_Obot__class_Obot(tc_fun(_u7112, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u7111, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3569, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7114), _u7115)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7116), _u7115)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7114), _u7116)), _u7115)) )).
% 43.38/43.63 cnf(matrix-3570, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7117, tc_HOL_Obool)), _u7118), _u7119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7120, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7120, _u7117, _u7121), _u7118)), hAPP(c_Set_Ovimage(_u7120, _u7117, _u7121), _u7119))) )).
% 43.38/43.63 cnf(matrix-3571, plain, ( ( hAPP(c_Set_Ovimage(_u7122, _u7123, _u7124), c_Orderings_Otop__class_Otop(tc_fun(_u7123, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u7122, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3572, plain, ( ( hAPP(c_Set_Ovimage(_u7125, _u7126, _u7127), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7126, tc_HOL_Obool)), _u7128), _u7129)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7125, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7125, _u7126, _u7127), _u7128)), hAPP(c_Set_Ovimage(_u7125, _u7126, _u7127), _u7129))) )).
% 43.38/43.63 cnf(matrix-3573, plain, ( ( hAPP(c_Set_Ovimage(_u7130, _u7131, _u7132), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7131, tc_HOL_Obool)), _u7133), _u7134)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7130, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7130, _u7131, _u7132), _u7133)), hAPP(c_Set_Ovimage(_u7130, _u7131, _u7132), _u7134))) )).
% 43.38/43.63 cnf(matrix-3574, plain, ( ( hAPP(c_Set_Ovimage(_u7135, _u7136, _u7137), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7136, tc_HOL_Obool)), _u7138), _u7139)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7135, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7135, _u7136, _u7137), _u7138)), hAPP(c_Set_Ovimage(_u7135, _u7136, _u7137), _u7139))) )).
% 43.38/43.63 cnf(matrix-3575, plain, ( ~class_Orderings_Olinorder(_u7140) | ~class_Orderings_Olinorder(_u7141) | ~c_Orderings_Oorder__class_Omono(_u7141, _u7140, _u7142) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7140), hAPP(_u7142, _u7143)), hAPP(_u7142, _u7144)) = hAPP(_u7142, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7141), _u7143), _u7144))) )).
% 43.38/43.63 cnf(matrix-3576, plain, ( ~class_Orderings_Olinorder(_u7145) | c_Finite__Set_Ofun__left__comm__idem(_u7145, _u7145, c_Orderings_Oord__class_Omin(_u7145)) )).
% 43.38/43.63 cnf(matrix-3577, plain, ( ( hAPP(c_Set_Ovimage(_u7146, _u7147, _u7148), hAPP(c_Set_OCollect(_u7147), _u7149)) = hAPP(c_Set_OCollect(_u7146), hAPP(hAPP(c_COMBB(_u7147, tc_HOL_Obool, _u7146), _u7149), _u7148))) )).
% 43.38/43.63 cnf(matrix-3578, plain, ( ( hAPP(c_Set_Ovimage(_u7150, _u7151, _u7152), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7153, tc_fun(_u7151, tc_HOL_Obool)), _u7154), _u7155)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7153, tc_fun(_u7150, tc_HOL_Obool)), _u7154), hAPP(hAPP(c_COMBB(tc_fun(_u7151, tc_HOL_Obool), tc_fun(_u7150, tc_HOL_Obool), _u7153), c_Set_Ovimage(_u7150, _u7151, _u7152)), _u7155))) )).
% 43.38/43.63 cnf(matrix-3579, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7156, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u7157, _u7156, _u7158), hAPP(c_Set_Ovimage(_u7157, _u7156, _u7158), _u7159))), _u7159)) )).
% 43.38/43.63 cnf(matrix-3580, plain, ( ( hAPP(c_Set_Oimage(_u7160, _u7161, _u7162), c_Orderings_Otop__class_Otop(tc_fun(_u7160, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u7161, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u7160, _u7161, _u7162), hAPP(c_Set_Ovimage(_u7160, _u7161, _u7162), _u7163)) = _u7163) )).
% 43.38/43.63 cnf(matrix-3581, plain, ( ( hAPP(c_Set_Ovimage(_u7164, _u7165, _u7166), _u7167) = hAPP(c_Set_OCollect(_u7164), hAPP(hAPP(c_COMBC(_u7164, tc_fun(_u7165, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u7165, tc_fun(tc_fun(_u7165, tc_HOL_Obool), tc_HOL_Obool), _u7164), c_member(_u7165)), _u7166)), _u7167))) )).
% 43.38/43.63 cnf(matrix-3582, plain, ( ( hAPP(_u7179, _u7175) = _u7181) | ~hBOOL(hAPP(hAPP(c_member(_u7173), _u7175), hAPP(c_Set_Ovimage(_u7173, _u7177, _u7179), hAPP(hAPP(c_Set_Oinsert(_u7177), _u7181), c_Orderings_Obot__class_Obot(tc_fun(_u7177, tc_HOL_Obool)))))) )).
% 43.38/43.63 cnf(matrix-3583, plain, ( ( hAPP(_u7180, _u7176) != _u7182) | hBOOL(hAPP(hAPP(c_member(_u7174), _u7176), hAPP(c_Set_Ovimage(_u7174, _u7178, _u7180), hAPP(hAPP(c_Set_Oinsert(_u7178), _u7182), c_Orderings_Obot__class_Obot(tc_fun(_u7178, tc_HOL_Obool)))))) )).
% 43.38/43.63 cnf(matrix-3584, plain, ( ( hAPP(c_Set_Ovimage(_u7183, _u7184, _u7185), hAPP(hAPP(c_Set_Oinsert(_u7184), _u7186), _u7187)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7183, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7183, _u7184, _u7185), hAPP(hAPP(c_Set_Oinsert(_u7184), _u7186), c_Orderings_Obot__class_Obot(tc_fun(_u7184, tc_HOL_Obool))))), hAPP(c_Set_Ovimage(_u7183, _u7184, _u7185), _u7187))) )).
% 43.38/43.63 cnf(matrix-3585, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7188), hAPP(c_Set_Ovimage(_u7188, _u7189, _u7190), _u7191))) | ( hAPP(c_Set_Oimage(_u7188, _u7189, _u7190), c_Orderings_Otop__class_Otop(tc_fun(_u7188, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u7189, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7189), _u7191)) )).
% 43.38/43.63 cnf(matrix-3586, plain, ( ~class_Orderings_Olinorder(_u7192) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7192), _u7193)) | ~hBOOL(hAPP(hAPP(c_member(_u7192), _u7194), _u7193)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7192), _u7194), c_Big__Operators_Olinorder__class_OMin(_u7192, _u7193)) = c_Big__Operators_Olinorder__class_OMin(_u7192, _u7193)) )).
% 43.38/43.63 cnf(matrix-3587, plain, ( ~class_Lattices_Osemilattice__inf(_u7195) | ~class_Orderings_Olinorder(_u7196) | ~c_Orderings_Oorder__class_Omono(_u7196, _u7195, _u7197) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7195), hAPP(_u7197, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7196), _u7198), _u7199))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u7195), hAPP(_u7197, _u7198)), hAPP(_u7197, _u7199)))) )).
% 43.38/43.63 cnf(matrix-3588, plain, ( ( hAPP(c_Set_Oimage(_u7200, _u7201, _u7202), c_Orderings_Otop__class_Otop(tc_fun(_u7200, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u7201, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7200, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7200, _u7201, _u7202), _u7203)), _u7204)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7201, tc_HOL_Obool)), _u7203), hAPP(c_Set_Oimage(_u7200, _u7201, _u7202), _u7204))) )).
% 43.38/43.63 cnf(matrix-3589, plain, ( ( hAPP(c_Set_Oimage(_u7205, _u7206, _u7207), hAPP(c_Set_Ovimage(_u7205, _u7206, _u7207), _u7208)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7206, tc_HOL_Obool)), _u7208), hAPP(c_Set_Oimage(_u7205, _u7206, _u7207), c_Orderings_Otop__class_Otop(tc_fun(_u7205, tc_HOL_Obool))))) )).
% 43.38/43.63 cnf(matrix-3590, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7209), _u7210)) | ~c_Fun_Oinj__on(_u7211, _u7209, _u7212, c_Orderings_Otop__class_Otop(tc_fun(_u7211, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7211), hAPP(c_Set_Ovimage(_u7211, _u7209, _u7212), _u7210))) )).
% 43.38/43.63 cnf(matrix-3591, plain, ( ~c_Fun_Oinj__on(_u7213, _u7214, _u7215, c_Orderings_Otop__class_Otop(tc_fun(_u7213, tc_HOL_Obool))) | ( hAPP(c_Set_Ovimage(_u7213, _u7214, _u7215), hAPP(c_Set_Oimage(_u7213, _u7214, _u7215), _u7216)) = _u7216) )).
% 43.38/43.63 cnf(matrix-3592, plain, ( ~class_Orderings_Olinorder(_u7217) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7217, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u7217), _u7218)), c_SetInterval_Oord__class_OatLeastAtMost(_u7217, _u7219, _u7220)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7217, _u7219, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7217), _u7218), _u7220))) )).
% 43.38/43.63 cnf(matrix-3593, plain, ( ~class_Orderings_Olinorder(_u7221) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7221, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7221, _u7222, _u7223)), hAPP(c_SetInterval_Oord__class_OatMost(_u7221), _u7224)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7221, _u7222, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7221), _u7223), _u7224))) )).
% 43.38/43.63 cnf(matrix-3594, plain, ( ~class_Orderings_Olinorder(_u7225) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7225), _u7226)) | ( c_Big__Operators_Olinorder__class_OMin(_u7225, _u7226) = hAPP(c_Finite__Set_Ofold1(_u7225, c_Orderings_Oord__class_Omin(_u7225)), _u7226)) )).
% 43.38/43.63 cnf(matrix-3595, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7231), _u7233), _u7235)) | ( hAPP(c_Set_Ovimage(_u7237, _u7231, hAPP(c_COMBK(_u7231, _u7237), _u7233)), _u7235) = c_Orderings_Otop__class_Otop(tc_fun(_u7237, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3596, plain, ( hBOOL(hAPP(hAPP(c_member(_u7232), _u7234), _u7236)) | ( hAPP(c_Set_Ovimage(_u7238, _u7232, hAPP(c_COMBK(_u7232, _u7238), _u7234)), _u7236) = c_Orderings_Obot__class_Obot(tc_fun(_u7238, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3597, plain, ( ( hAPP(c_Set_Ovimage(_u7239, _u7240, _u7241), _u7242) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7240, tc_fun(_u7239, tc_HOL_Obool)), _u7242), hAPP(hAPP(c_COMBB(tc_fun(_u7240, tc_HOL_Obool), tc_fun(_u7239, tc_HOL_Obool), _u7240), c_Set_Ovimage(_u7239, _u7240, _u7241)), hAPP(hAPP(c_COMBC(_u7240, tc_fun(_u7240, tc_HOL_Obool), tc_fun(_u7240, tc_HOL_Obool)), c_Set_Oinsert(_u7240)), c_Orderings_Obot__class_Obot(tc_fun(_u7240, tc_HOL_Obool)))))) )).
% 43.38/43.63 cnf(matrix-3598, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u7243), hAPP(c_Nat_OSuc, _u7244)) = 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)), _u7244)), _u7243)) )).
% 43.38/43.63 cnf(matrix-3599, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7245)), _u7246) = 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), _u7245)), _u7246)) )).
% 43.38/43.63 cnf(matrix-3600, plain, ( ~class_Orderings_Olinorder(_u7247) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7247), _u7248)) | ~hBOOL(hAPP(hAPP(c_member(_u7247), _u7249), _u7248)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7247), hAPP(c_Finite__Set_Ofold1(_u7247, c_Orderings_Oord__class_Omin(_u7247)), _u7248)), _u7249)) )).
% 43.38/43.63 cnf(matrix-3601, plain, ( ~class_Orderings_Olinorder(_u7252) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7252), _u7253)) | ( _u7253 = c_Orderings_Obot__class_Obot(tc_fun(_u7252, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), hAPP(c_Finite__Set_Ofold1(_u7252, c_Orderings_Oord__class_Omin(_u7252)), _u7253))) | ~hBOOL(hAPP(hAPP(c_member(_u7252), _u7250), _u7253)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), _u7250)) )).
% 43.38/43.63 cnf(matrix-3602, plain, ( ~class_Orderings_Olinorder(_u7252) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7252), _u7253)) | ( _u7253 = c_Orderings_Obot__class_Obot(tc_fun(_u7252, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), hAPP(c_Finite__Set_Ofold1(_u7252, c_Orderings_Oord__class_Omin(_u7252)), _u7253))) | hBOOL(hAPP(hAPP(c_member(_u7252), skolem195(_u7254, _u7253, _u7252)), _u7253)) )).
% 43.38/43.63 cnf(matrix-3603, plain, ( ~class_Orderings_Olinorder(_u7252) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7252), _u7253)) | ( _u7253 = c_Orderings_Obot__class_Obot(tc_fun(_u7252, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), hAPP(c_Finite__Set_Ofold1(_u7252, c_Orderings_Oord__class_Omin(_u7252)), _u7253))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7252), _u7254), skolem195(_u7254, _u7253, _u7252))) )).
% 43.38/43.63 cnf(matrix-3604, plain, ( ~class_Orderings_Olinorder(_u7257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7257), _u7258)) | ( _u7258 = c_Orderings_Obot__class_Obot(tc_fun(_u7257, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), hAPP(c_Finite__Set_Ofold1(_u7257, c_Orderings_Oord__class_Omin(_u7257)), _u7258)), _u7259)) | hBOOL(hAPP(hAPP(c_member(_u7257), skolem196(_u7259, _u7258, _u7257)), _u7258)) )).
% 43.38/43.63 cnf(matrix-3605, plain, ( ~class_Orderings_Olinorder(_u7257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7257), _u7258)) | ( _u7258 = c_Orderings_Obot__class_Obot(tc_fun(_u7257, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), hAPP(c_Finite__Set_Ofold1(_u7257, c_Orderings_Oord__class_Omin(_u7257)), _u7258)), _u7259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), skolem196(_u7259, _u7258, _u7257)), _u7259)) )).
% 43.38/43.63 cnf(matrix-3606, plain, ( ~class_Orderings_Olinorder(_u7257) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7257), _u7258)) | ( _u7258 = c_Orderings_Obot__class_Obot(tc_fun(_u7257, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7257), _u7256), _u7258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), _u7256), _u7259)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7257), hAPP(c_Finite__Set_Ofold1(_u7257, c_Orderings_Oord__class_Omin(_u7257)), _u7258)), _u7259)) )).
% 43.38/43.63 cnf(matrix-3607, plain, ( ~class_Orderings_Olinorder(_u7262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7262), _u7263)) | ( _u7263 = c_Orderings_Obot__class_Obot(tc_fun(_u7262, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), hAPP(c_Finite__Set_Ofold1(_u7262, c_Orderings_Oord__class_Omin(_u7262)), _u7263))) | ~hBOOL(hAPP(hAPP(c_member(_u7262), _u7260), _u7263)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), _u7260)) )).
% 43.38/43.63 cnf(matrix-3608, plain, ( ~class_Orderings_Olinorder(_u7262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7262), _u7263)) | ( _u7263 = c_Orderings_Obot__class_Obot(tc_fun(_u7262, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), hAPP(c_Finite__Set_Ofold1(_u7262, c_Orderings_Oord__class_Omin(_u7262)), _u7263))) | hBOOL(hAPP(hAPP(c_member(_u7262), skolem197(_u7264, _u7263, _u7262)), _u7263)) )).
% 43.38/43.63 cnf(matrix-3609, plain, ( ~class_Orderings_Olinorder(_u7262) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7262), _u7263)) | ( _u7263 = c_Orderings_Obot__class_Obot(tc_fun(_u7262, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), hAPP(c_Finite__Set_Ofold1(_u7262, c_Orderings_Oord__class_Omin(_u7262)), _u7263))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7262), _u7264), skolem197(_u7264, _u7263, _u7262))) )).
% 43.38/43.63 cnf(matrix-3610, plain, ( ~class_Orderings_Olinorder(_u7267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7267), _u7268)) | ( _u7268 = c_Orderings_Obot__class_Obot(tc_fun(_u7267, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), hAPP(c_Finite__Set_Ofold1(_u7267, c_Orderings_Oord__class_Omin(_u7267)), _u7268)), _u7269)) | hBOOL(hAPP(hAPP(c_member(_u7267), skolem198(_u7269, _u7268, _u7267)), _u7268)) )).
% 43.38/43.63 cnf(matrix-3611, plain, ( ~class_Orderings_Olinorder(_u7267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7267), _u7268)) | ( _u7268 = c_Orderings_Obot__class_Obot(tc_fun(_u7267, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), hAPP(c_Finite__Set_Ofold1(_u7267, c_Orderings_Oord__class_Omin(_u7267)), _u7268)), _u7269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), skolem198(_u7269, _u7268, _u7267)), _u7269)) )).
% 43.38/43.63 cnf(matrix-3612, plain, ( ~class_Orderings_Olinorder(_u7267) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7267), _u7268)) | ( _u7268 = c_Orderings_Obot__class_Obot(tc_fun(_u7267, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7267), _u7266), _u7268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), _u7266), _u7269)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7267), hAPP(c_Finite__Set_Ofold1(_u7267, c_Orderings_Oord__class_Omin(_u7267)), _u7268)), _u7269)) )).
% 43.38/43.63 cnf(matrix-3613, plain, ( ~class_Orderings_Olinorder(_u7270) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7270), _u7271)) | ( _u7271 = c_Orderings_Obot__class_Obot(tc_fun(_u7270, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7270, hAPP(hAPP(c_Set_Oinsert(_u7270), _u7272), _u7271)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7270), _u7272), c_Big__Operators_Olinorder__class_OMin(_u7270, _u7271))) )).
% 43.38/43.63 cnf(matrix-3614, plain, ( ~class_Orderings_Olinorder(_u7273) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7273), _u7274)) | ( _u7275 = c_Orderings_Obot__class_Obot(tc_fun(_u7273, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7273, tc_HOL_Obool)), _u7275), _u7274)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7273), c_Big__Operators_Olinorder__class_OMin(_u7273, _u7275)), c_Big__Operators_Olinorder__class_OMin(_u7273, _u7274)) = c_Big__Operators_Olinorder__class_OMin(_u7273, _u7274)) )).
% 43.38/43.63 cnf(matrix-3615, plain, ( ~class_Orderings_Olinorder(_u7276) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7276), _u7277)) | ( _u7277 = c_Orderings_Obot__class_Obot(tc_fun(_u7276, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7276), _u7278)) | ( _u7278 = c_Orderings_Obot__class_Obot(tc_fun(_u7276, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7276, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7276, tc_HOL_Obool)), _u7277), _u7278)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7276), c_Big__Operators_Olinorder__class_OMin(_u7276, _u7277)), c_Big__Operators_Olinorder__class_OMin(_u7276, _u7278))) )).
% 43.38/43.63 cnf(matrix-3616, plain, ( ~c_Fun_Oinj__on(_u7279, _u7280, _u7281, c_Orderings_Otop__class_Otop(tc_fun(_u7279, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7280, tc_HOL_Obool)), _u7282), hAPP(c_Set_Oimage(_u7279, _u7280, _u7281), _u7283))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7279, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7279, _u7280, _u7281), _u7282)), _u7283)) )).
% 43.38/43.63 cnf(matrix-3617, plain, ( ~class_Orderings_Olinorder(_u7284) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7284), _u7285)) | hBOOL(hAPP(hAPP(c_member(_u7284), _u7286), _u7285)) | ( _u7285 = c_Orderings_Obot__class_Obot(tc_fun(_u7284, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7284, hAPP(hAPP(c_Set_Oinsert(_u7284), _u7286), _u7285)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7284), _u7286), c_Big__Operators_Olinorder__class_OMin(_u7284, _u7285))) )).
% 43.38/43.63 cnf(matrix-3618, plain, ( ~class_Orderings_Olinorder(_u7287) | ( _u7288 = c_Orderings_Obot__class_Obot(tc_fun(_u7287, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7287, tc_HOL_Obool)), _u7288), _u7289)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7287), _u7289)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7287), hAPP(c_Finite__Set_Ofold1(_u7287, c_Orderings_Oord__class_Omin(_u7287)), _u7289)), hAPP(c_Finite__Set_Ofold1(_u7287, c_Orderings_Oord__class_Omin(_u7287)), _u7288))) )).
% 43.38/43.63 cnf(matrix-3619, plain, ( ~class_Orderings_Olinorder(_u7290) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7290), _u7291)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7290, tc_HOL_Obool)), _u7291), hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7290, hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), _u7291)) = _u7292) )).
% 43.38/43.63 cnf(matrix-3620, plain, ( ~class_Orderings_Olinorder(_u7290) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7290), _u7291)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7290, tc_HOL_Obool)), _u7291), hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7290, hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), _u7291)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7290), _u7292), c_Big__Operators_Olinorder__class_OMin(_u7290, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7290, tc_HOL_Obool)), _u7291), hAPP(hAPP(c_Set_Oinsert(_u7290), _u7292), c_Orderings_Obot__class_Obot(tc_fun(_u7290, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-3621, plain, ( ~class_Orderings_Olinorder(_u7293) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7293), _u7294)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7293), _u7295)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7293, tc_HOL_Obool)), _u7294), _u7295) = c_Orderings_Obot__class_Obot(tc_fun(_u7293, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7293), c_Big__Operators_Olinorder__class_OMin(_u7293, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7293, tc_HOL_Obool)), _u7294), _u7295))), c_Big__Operators_Olinorder__class_OMin(_u7293, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7293, tc_HOL_Obool)), _u7294), _u7295))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7293), c_Big__Operators_Olinorder__class_OMin(_u7293, _u7294)), c_Big__Operators_Olinorder__class_OMin(_u7293, _u7295))) )).
% 43.38/43.63 cnf(matrix-3622, plain, ( ~class_Orderings_Olinorder(_u7296) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7296), _u7297)) | ( _u7297 = c_Orderings_Obot__class_Obot(tc_fun(_u7296, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7296), _u7298)) | ( _u7298 = c_Orderings_Obot__class_Obot(tc_fun(_u7296, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7296, tc_HOL_Obool)), _u7297), _u7298) != c_Orderings_Obot__class_Obot(tc_fun(_u7296, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMin(_u7296, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7296, tc_HOL_Obool)), _u7297), _u7298)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7296), c_Big__Operators_Olinorder__class_OMin(_u7296, _u7297)), c_Big__Operators_Olinorder__class_OMin(_u7296, _u7298))) )).
% 43.38/43.63 cnf(matrix-3623, plain, ( ~class_Orderings_Olinorder(_u7299) | ( c_Orderings_Oord_Omax(_u7299, hAPP(c_COMBC(_u7299, _u7299, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7299))) = c_Orderings_Oord__class_Omin(_u7299)) )).
% 43.38/43.63 cnf(matrix-3624, plain, ( ~class_Orderings_Oord(_u7300) | ( c_Orderings_Oord__class_Omin(_u7300) = c_Orderings_Oord_Omin(_u7300, c_Orderings_Oord__class_Oless__eq(_u7300))) )).
% 43.38/43.63 cnf(matrix-3625, plain, ( ~class_Orderings_Olinorder(_u7303) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7303), _u7304)) | ( _u7304 = c_Orderings_Obot__class_Obot(tc_fun(_u7303, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7303), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7303), skolem199(_u7304, _u7303)), skolem200(_u7304, _u7303))), hAPP(hAPP(c_Set_Oinsert(_u7303), skolem199(_u7304, _u7303)), hAPP(hAPP(c_Set_Oinsert(_u7303), skolem200(_u7304, _u7303)), c_Orderings_Obot__class_Obot(tc_fun(_u7303, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7303), c_Big__Operators_Olinorder__class_OMin(_u7303, _u7304)), _u7304)) )).
% 43.38/43.63 cnf(matrix-3626, plain, ( ~class_Orderings_Olinorder(_u7305) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7305), _u7306)) | ~hBOOL(hAPP(hAPP(c_member(_u7305), _u7307), _u7306)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7305, tc_HOL_Obool)), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7305), _u7307), c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7305, c_Orderings_Oord__class_Omin(_u7305), _u7306) = _u7307) )).
% 43.38/43.63 cnf(matrix-3627, plain, ( ~class_Orderings_Olinorder(_u7305) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7305), _u7306)) | ~hBOOL(hAPP(hAPP(c_member(_u7305), _u7307), _u7306)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7305, tc_HOL_Obool)), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7305), _u7307), c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7305, c_Orderings_Oord__class_Omin(_u7305), _u7306) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7305), _u7307), c_Big__Operators_Olattice_OInf__fin(_u7305, c_Orderings_Oord__class_Omin(_u7305), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7305, tc_HOL_Obool)), _u7306), hAPP(hAPP(c_Set_Oinsert(_u7305), _u7307), c_Orderings_Obot__class_Obot(tc_fun(_u7305, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-3628, plain, ( ~class_Orderings_Olinorder(_u7310) | ( hAPP(_u7311, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7310), skolem201(_u7312, _u7311, _u7310)), skolem202(_u7312, _u7311, _u7310))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7310), hAPP(_u7311, skolem201(_u7312, _u7311, _u7310))), hAPP(_u7311, skolem202(_u7312, _u7311, _u7310)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7310), _u7312)) | ( _u7312 = c_Orderings_Obot__class_Obot(tc_fun(_u7310, tc_HOL_Obool))) | ( hAPP(_u7311, c_Big__Operators_Olinorder__class_OMin(_u7310, _u7312)) = c_Big__Operators_Olinorder__class_OMin(_u7310, hAPP(c_Set_Oimage(_u7310, _u7310, _u7311), _u7312))) )).
% 43.38/43.63 cnf(matrix-3629, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7322, tc_fun(_u7324, tc_fun(_u7326, tc_HOL_Obool))), _u7328), _u7330), _u7332), _u7334)) | hBOOL(hAPP(hAPP(c_member(_u7322), skolem203(_u7334, _u7332, _u7330, _u7328, _u7326, _u7324, _u7322)), _u7328)) )).
% 43.38/43.63 cnf(matrix-3630, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7322, tc_fun(_u7324, tc_fun(_u7326, tc_HOL_Obool))), _u7328), _u7330), _u7332), _u7334)) | hBOOL(hAPP(hAPP(hAPP(_u7330, skolem203(_u7334, _u7332, _u7330, _u7328, _u7326, _u7324, _u7322)), _u7332), _u7334)) )).
% 43.38/43.63 cnf(matrix-3631, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7323), _u7314), _u7329)) | ~hBOOL(hAPP(hAPP(hAPP(_u7331, _u7314), _u7333), _u7335)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7323, tc_fun(_u7325, tc_fun(_u7327, tc_HOL_Obool))), _u7329), _u7331), _u7333), _u7335)) )).
% 43.38/43.63 cnf(matrix-3632, plain, ( ( c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-3633, plain, ( ~class_Orderings_Olinorder(_u7336) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7336), _u7337)) | ~hBOOL(hAPP(hAPP(c_member(_u7336), _u7338), _u7337)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7336), _u7338), c_Big__Operators_Olattice_OInf__fin(_u7336, c_Orderings_Oord__class_Omin(_u7336), _u7337)) = c_Big__Operators_Olattice_OInf__fin(_u7336, c_Orderings_Oord__class_Omin(_u7336), _u7337)) )).
% 43.38/43.63 cnf(matrix-3634, plain, ( ~class_Orderings_Olinorder(_u7339) | ( c_Big__Operators_Olattice_OInf__fin(_u7339, c_Orderings_Oord__class_Omin(_u7339), hAPP(hAPP(c_Set_Oinsert(_u7339), _u7340), c_Orderings_Obot__class_Obot(tc_fun(_u7339, tc_HOL_Obool)))) = _u7340) )).
% 43.38/43.63 cnf(matrix-3635, plain, ( ~class_Orderings_Olinorder(_u7341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7341), _u7342)) | ( c_Big__Operators_Olattice_OInf__fin(_u7341, c_Orderings_Oord__class_Omin(_u7341), _u7342) = hAPP(c_Finite__Set_Ofold1(_u7341, c_Orderings_Oord__class_Omin(_u7341)), _u7342)) )).
% 43.38/43.63 cnf(matrix-3636, plain, ( ~class_Orderings_Olinorder(_u7343) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7343), _u7344)) | ( _u7344 = c_Orderings_Obot__class_Obot(tc_fun(_u7343, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7343, c_Orderings_Oord__class_Omin(_u7343), hAPP(hAPP(c_Set_Oinsert(_u7343), _u7345), _u7344)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7343), _u7345), c_Big__Operators_Olattice_OInf__fin(_u7343, c_Orderings_Oord__class_Omin(_u7343), _u7344))) )).
% 43.38/43.63 cnf(matrix-3637, plain, ( ~class_Orderings_Olinorder(_u7346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7346), _u7347)) | ( _u7348 = c_Orderings_Obot__class_Obot(tc_fun(_u7346, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7346, tc_HOL_Obool)), _u7348), _u7347)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7346), c_Big__Operators_Olattice_OInf__fin(_u7346, c_Orderings_Oord__class_Omin(_u7346), _u7348)), c_Big__Operators_Olattice_OInf__fin(_u7346, c_Orderings_Oord__class_Omin(_u7346), _u7347)) = c_Big__Operators_Olattice_OInf__fin(_u7346, c_Orderings_Oord__class_Omin(_u7346), _u7347)) )).
% 43.38/43.63 cnf(matrix-3638, plain, ( ~class_Orderings_Olinorder(_u7349) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7349), _u7350)) | ( _u7350 = c_Orderings_Obot__class_Obot(tc_fun(_u7349, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7349), _u7351)) | ( _u7351 = c_Orderings_Obot__class_Obot(tc_fun(_u7349, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7349, c_Orderings_Oord__class_Omin(_u7349), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7349, tc_HOL_Obool)), _u7350), _u7351)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7349), c_Big__Operators_Olattice_OInf__fin(_u7349, c_Orderings_Oord__class_Omin(_u7349), _u7350)), c_Big__Operators_Olattice_OInf__fin(_u7349, c_Orderings_Oord__class_Omin(_u7349), _u7351))) )).
% 43.38/43.63 cnf(matrix-3639, plain, ( ~class_Orderings_Olinorder(_u7352) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7352), _u7353)) | hBOOL(hAPP(hAPP(c_member(_u7352), _u7354), _u7353)) | ( _u7353 = c_Orderings_Obot__class_Obot(tc_fun(_u7352, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7352, c_Orderings_Oord__class_Omin(_u7352), hAPP(hAPP(c_Set_Oinsert(_u7352), _u7354), _u7353)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7352), _u7354), c_Big__Operators_Olattice_OInf__fin(_u7352, c_Orderings_Oord__class_Omin(_u7352), _u7353))) )).
% 43.38/43.63 cnf(matrix-3640, plain, ( ~class_Orderings_Olinorder(_u7355) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7355), _u7356)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7355, tc_HOL_Obool)), _u7356), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7355, c_Orderings_Oord__class_Omin(_u7355), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), _u7356)) = _u7357) )).
% 43.38/43.63 cnf(matrix-3641, plain, ( ~class_Orderings_Olinorder(_u7355) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7355), _u7356)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7355, tc_HOL_Obool)), _u7356), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7355, c_Orderings_Oord__class_Omin(_u7355), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), _u7356)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7355), _u7357), c_Big__Operators_Olattice_OInf__fin(_u7355, c_Orderings_Oord__class_Omin(_u7355), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7355, tc_HOL_Obool)), _u7356), hAPP(hAPP(c_Set_Oinsert(_u7355), _u7357), c_Orderings_Obot__class_Obot(tc_fun(_u7355, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-3642, plain, ( ~class_Orderings_Olinorder(_u7358) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7358), _u7359)) | ( _u7359 = c_Orderings_Obot__class_Obot(tc_fun(_u7358, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7358), _u7360)) | ( _u7360 = c_Orderings_Obot__class_Obot(tc_fun(_u7358, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7358, tc_HOL_Obool)), _u7359), _u7360) != c_Orderings_Obot__class_Obot(tc_fun(_u7358, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OInf__fin(_u7358, c_Orderings_Oord__class_Omin(_u7358), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7358, tc_HOL_Obool)), _u7359), _u7360)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7358), c_Big__Operators_Olattice_OInf__fin(_u7358, c_Orderings_Oord__class_Omin(_u7358), _u7359)), c_Big__Operators_Olattice_OInf__fin(_u7358, c_Orderings_Oord__class_Omin(_u7358), _u7360))) )).
% 43.38/43.63 cnf(matrix-3643, plain, ( ~class_Orderings_Olinorder(_u7361) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7361), _u7362)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7361), _u7363)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7361, tc_HOL_Obool)), _u7362), _u7363) = c_Orderings_Obot__class_Obot(tc_fun(_u7361, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7361), c_Big__Operators_Olattice_OInf__fin(_u7361, c_Orderings_Oord__class_Omin(_u7361), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7361, tc_HOL_Obool)), _u7362), _u7363))), c_Big__Operators_Olattice_OInf__fin(_u7361, c_Orderings_Oord__class_Omin(_u7361), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7361, tc_HOL_Obool)), _u7362), _u7363))) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7361), c_Big__Operators_Olattice_OInf__fin(_u7361, c_Orderings_Oord__class_Omin(_u7361), _u7362)), c_Big__Operators_Olattice_OInf__fin(_u7361, c_Orderings_Oord__class_Omin(_u7361), _u7363))) )).
% 43.38/43.63 cnf(matrix-3644, plain, ( ~class_Orderings_Olinorder(_u7366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7366), _u7367)) | ( _u7367 = c_Orderings_Obot__class_Obot(tc_fun(_u7366, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7366), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7366), skolem204(_u7367, _u7366)), skolem205(_u7367, _u7366))), hAPP(hAPP(c_Set_Oinsert(_u7366), skolem204(_u7367, _u7366)), hAPP(hAPP(c_Set_Oinsert(_u7366), skolem205(_u7367, _u7366)), c_Orderings_Obot__class_Obot(tc_fun(_u7366, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7366), c_Big__Operators_Olattice_OInf__fin(_u7366, c_Orderings_Oord__class_Omin(_u7366), _u7367)), _u7367)) )).
% 43.38/43.63 cnf(matrix-3645, plain, ( ~class_Orderings_Olinorder(_u7368) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7368), _u7369)) | ( _u7369 = c_Orderings_Obot__class_Obot(tc_fun(_u7368, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7368), _u7370)) | ( _u7370 = c_Orderings_Obot__class_Obot(tc_fun(_u7368, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7368), c_Big__Operators_Olattice_OInf__fin(_u7368, c_Orderings_Oord__class_Omin(_u7368), _u7369)), c_Big__Operators_Olattice_OInf__fin(_u7368, c_Orderings_Oord__class_Omin(_u7368), _u7370)) = c_Big__Operators_Olattice_OInf__fin(_u7368, c_Orderings_Oord__class_Omin(_u7368), hAPP(c_Set_OCollect(_u7368), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_HOL_Obool), tc_HOL_Obool, _u7368), c_HOL_OEx(_u7368)), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool)), tc_fun(_u7368, tc_HOL_Obool), _u7368), hAPP(c_COMBB(tc_fun(_u7368, tc_HOL_Obool), tc_HOL_Obool, _u7368), c_HOL_OEx(_u7368))), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool)), tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_fun(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool))), tc_fun(tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool)), tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool))), _u7368), c_COMBS(_u7368, tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_fun(_u7368, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u7368, tc_fun(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool))), _u7368), hAPP(c_COMBB(tc_fun(_u7368, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool)), _u7368), c_COMBS(_u7368, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool)), tc_fun(_u7368, tc_fun(_u7368, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u7368), hAPP(c_COMBB(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7368), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7368), c_fconj))), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_fun(_u7368, _u7368)), tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7368, _u7368), tc_fun(_u7368, tc_HOL_Obool)), tc_fun(tc_fun(_u7368, tc_fun(_u7368, _u7368)), tc_fun(_u7368, tc_fun(_u7368, tc_HOL_Obool))), _u7368), c_COMBB(tc_fun(_u7368, _u7368), tc_fun(_u7368, tc_HOL_Obool), _u7368)), hAPP(hAPP(c_COMBB(tc_fun(_u7368, tc_HOL_Obool), tc_fun(tc_fun(_u7368, _u7368), tc_fun(_u7368, tc_HOL_Obool)), _u7368), c_COMBB(_u7368, tc_HOL_Obool, _u7368)), c_fequal))), c_Orderings_Oord__class_Omax(_u7368)))))), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u7368, tc_HOL_Obool), tc_fun(_u7368, tc_HOL_Obool)), _u7368), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7368)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7368), c_fconj), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7368)), _u7369)))), hAPP(hAPP(c_COMBC(_u7368, tc_fun(_u7368, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7368)), _u7370)))))))) )).
% 43.38/43.63 cnf(matrix-3646, plain, ( ~class_Orderings_Olinorder(_u7371) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7371), _u7372)) | ( _u7372 = c_Orderings_Obot__class_Obot(tc_fun(_u7371, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7371), _u7373), c_Big__Operators_Olattice_OInf__fin(_u7371, c_Orderings_Oord__class_Omin(_u7371), _u7372)) = c_Big__Operators_Olattice_OInf__fin(_u7371, c_Orderings_Oord__class_Omin(_u7371), hAPP(c_Set_OCollect(_u7371), hAPP(hAPP(c_COMBB(tc_fun(_u7371, tc_HOL_Obool), tc_HOL_Obool, _u7371), c_HOL_OEx(_u7371)), hAPP(hAPP(c_COMBC(_u7371, tc_fun(_u7371, tc_HOL_Obool), tc_fun(_u7371, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7371, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u7371, tc_HOL_Obool), tc_fun(_u7371, tc_HOL_Obool)), _u7371), c_COMBS(_u7371, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7371, tc_HOL_Obool), tc_fun(_u7371, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7371), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7371), c_fconj)), hAPP(hAPP(c_COMBC(_u7371, tc_fun(_u7371, _u7371), tc_fun(_u7371, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7371, tc_HOL_Obool), tc_fun(tc_fun(_u7371, _u7371), tc_fun(_u7371, tc_HOL_Obool)), _u7371), c_COMBB(_u7371, tc_HOL_Obool, _u7371)), c_fequal)), hAPP(c_Orderings_Oord__class_Omax(_u7371), _u7373))))), hAPP(hAPP(c_COMBC(_u7371, tc_fun(_u7371, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7371)), _u7372)))))) )).
% 43.38/43.63 cnf(matrix-3647, plain, ( ~class_Orderings_Olinorder(_u7376) | ( hAPP(_u7377, hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7376), skolem206(_u7378, _u7377, _u7376)), skolem207(_u7378, _u7377, _u7376))) != hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7376), hAPP(_u7377, skolem206(_u7378, _u7377, _u7376))), hAPP(_u7377, skolem207(_u7378, _u7377, _u7376)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7376), _u7378)) | ( _u7378 = c_Orderings_Obot__class_Obot(tc_fun(_u7376, tc_HOL_Obool))) | ( hAPP(_u7377, c_Big__Operators_Olattice_OInf__fin(_u7376, c_Orderings_Oord__class_Omin(_u7376), _u7378)) = c_Big__Operators_Olattice_OInf__fin(_u7376, c_Orderings_Oord__class_Omin(_u7376), hAPP(c_Set_Oimage(_u7376, _u7376, _u7377), _u7378))) )).
% 43.38/43.63 cnf(matrix-3648, plain, ( ~class_Orderings_Olinorder(_u7379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7379), _u7380)) | ~hBOOL(hAPP(hAPP(c_member(_u7379), _u7381), _u7380)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7379, tc_HOL_Obool)), _u7380), hAPP(hAPP(c_Set_Oinsert(_u7379), _u7381), c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7379, _u7380) = _u7381) )).
% 43.38/43.63 cnf(matrix-3649, plain, ( ~class_Orderings_Olinorder(_u7379) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7379), _u7380)) | ~hBOOL(hAPP(hAPP(c_member(_u7379), _u7381), _u7380)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7379, tc_HOL_Obool)), _u7380), hAPP(hAPP(c_Set_Oinsert(_u7379), _u7381), c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7379, _u7380) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7379), _u7381), c_Big__Operators_Olinorder__class_OMax(_u7379, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7379, tc_HOL_Obool)), _u7380), hAPP(hAPP(c_Set_Oinsert(_u7379), _u7381), c_Orderings_Obot__class_Obot(tc_fun(_u7379, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-3650, plain, ( ~class_Groups_Oordered__ab__semigroup__add__imp__le(_u7382) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7382), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7382), _u7383), _u7384)), _u7385) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7382), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7382), _u7383), _u7385)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7382), _u7384), _u7385))) )).
% 43.38/43.63 cnf(matrix-3651, plain, ( ~class_Groups_Oordered__ab__group__add(_u7386) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7386), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7386), _u7387), _u7388)), _u7389) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7386), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7386), _u7387), _u7389)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7386), _u7388), _u7389))) )).
% 43.38/43.63 cnf(matrix-3652, plain, ( ~class_Lattices_Osemilattice__sup(_u7390) | ~class_Orderings_Olinorder(_u7390) | ( c_Lattices_Osemilattice__sup__class_Osup(_u7390) = c_Orderings_Oord__class_Omax(_u7390)) )).
% 43.38/43.63 cnf(matrix-3653, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7391), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u7391) )).
% 43.38/43.63 cnf(matrix-3654, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u7392) = _u7392) )).
% 43.38/43.63 cnf(matrix-3655, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7393)), hAPP(c_Nat_OSuc, _u7394)) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7393), _u7394))) )).
% 43.38/43.63 cnf(matrix-3656, plain, ( ~class_Orderings_Olinorder(_u7395) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7395), _u7396), _u7396) = _u7396) )).
% 43.38/43.63 cnf(matrix-3657, plain, ( ~class_Orderings_Olinorder(_u7397) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7397), _u7398), _u7399) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7397), _u7399), _u7398)) )).
% 43.38/43.63 cnf(matrix-3658, plain, ( ~class_Orderings_Olinorder(_u7400) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7400), _u7401), _u7402) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7400), _u7402), _u7401)) )).
% 43.38/43.63 cnf(matrix-3659, plain, ( ~class_Orderings_Olinorder(_u7403) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7403), _u7404), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7403), _u7404), _u7405)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7403), _u7404), _u7405)) )).
% 43.38/43.63 cnf(matrix-3660, plain, ( ~class_Orderings_Olinorder(_u7406) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7406), _u7407), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7406), _u7407), _u7408)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7406), _u7407), _u7408)) )).
% 43.38/43.63 cnf(matrix-3661, plain, ( ~class_Orderings_Olinorder(_u7409) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7409), _u7410), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7409), _u7411), _u7412)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7409), _u7411), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7409), _u7410), _u7412))) )).
% 43.38/43.63 cnf(matrix-3662, plain, ( ~class_Orderings_Olinorder(_u7413) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7413), _u7414), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7413), _u7415), _u7416)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7413), _u7415), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7413), _u7414), _u7416))) )).
% 43.38/43.63 cnf(matrix-3663, plain, ( ~class_Orderings_Olinorder(_u7417) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7417), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7417), _u7418), _u7419)), _u7420) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7417), _u7418), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7417), _u7419), _u7420))) )).
% 43.38/43.63 cnf(matrix-3664, plain, ( ~class_Orderings_Olinorder(_u7421) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7421), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7421), _u7422), _u7423)), _u7424) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7421), _u7422), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7421), _u7423), _u7424))) )).
% 43.38/43.63 cnf(matrix-3665, plain, ( ~class_Orderings_Olinorder(_u7425) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7425), _u7426), _u7426) = _u7426) )).
% 43.38/43.63 cnf(matrix-3666, plain, ( ~class_Orderings_Olinorder(_u7427) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7427), _u7428), _u7429)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7427), _u7428), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7427), _u7430), _u7429))) )).
% 43.38/43.63 cnf(matrix-3667, plain, ( ~class_Orderings_Olinorder(_u7431) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7431), _u7432), _u7433)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7431), _u7432), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7431), _u7433), _u7434))) )).
% 43.38/43.63 cnf(matrix-3668, plain, ( ~class_Orderings_Olinorder(_u7435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7435), _u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), _u7436), _u7438)) )).
% 43.38/43.63 cnf(matrix-3669, plain, ( ~class_Orderings_Olinorder(_u7435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7435), _u7436), _u7437)), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), _u7437), _u7438)) )).
% 43.38/43.63 cnf(matrix-3670, plain, ( ~class_Orderings_Olinorder(_u7435) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), _u7436), _u7438)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), _u7437), _u7438)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7435), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7435), _u7436), _u7437)), _u7438)) )).
% 43.38/43.63 cnf(matrix-3671, plain, ( ~class_Orderings_Olinorder(_u7439) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7439), _u7441), _u7442))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), _u7441)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), _u7442)) )).
% 43.38/43.63 cnf(matrix-3672, plain, ( ~class_Orderings_Olinorder(_u7439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7439), _u7441), _u7442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), _u7441)) )).
% 43.38/43.63 cnf(matrix-3673, plain, ( ~class_Orderings_Olinorder(_u7439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7439), _u7441), _u7442))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7439), _u7440), _u7442)) )).
% 43.38/43.63 cnf(matrix-3674, plain, ( ~class_Orderings_Olinorder(_u7443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7443), _u7444), _u7445)), _u7446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), _u7444), _u7446)) )).
% 43.38/43.63 cnf(matrix-3675, plain, ( ~class_Orderings_Olinorder(_u7443) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7443), _u7444), _u7445)), _u7446)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7443), _u7445), _u7446)) )).
% 43.38/43.63 cnf(matrix-3676, plain, ( ~class_Orderings_Olinorder(_u7447) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7447), _u7448), _u7449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7447), _u7450), _u7451)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7447), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7447), _u7448), _u7450)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7447), _u7449), _u7451))) )).
% 43.38/43.63 cnf(matrix-3677, plain, ( ~class_Orderings_Olinorder(_u7452) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7452), _u7453), _u7454)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7452), _u7455), _u7454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7452), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7452), _u7453), _u7455)), _u7454)) )).
% 43.38/43.63 cnf(matrix-3678, plain, ( ~class_Orderings_Olinorder(_u7456) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7456), _u7457), _u7458)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7456), _u7459), _u7458)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7456), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7456), _u7457), _u7459)), _u7458)) )).
% 43.38/43.63 cnf(matrix-3679, plain, ( ~class_Orderings_Olinorder(_u7460) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7460), _u7461), _u7462)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7460), _u7462), _u7461) = _u7462) )).
% 43.38/43.63 cnf(matrix-3680, plain, ( ~class_Orderings_Olinorder(_u7463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7463), _u7464), _u7465)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7463), _u7464), _u7465) = _u7465) )).
% 43.38/43.63 cnf(matrix-3681, plain, ( ~class_Orderings_Olinorder(_u7466) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7466), _u7467), _u7468)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7466), _u7467), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7466), _u7469), _u7468))) )).
% 43.38/43.63 cnf(matrix-3682, plain, ( ~class_Orderings_Olinorder(_u7470) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7470), _u7471), _u7472)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7470), _u7471), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7470), _u7472), _u7473))) )).
% 43.38/43.63 cnf(matrix-3683, plain, ( ~class_Orderings_Olinorder(_u7474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7474), _u7475), _u7476)), _u7477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), _u7475), _u7477)) )).
% 43.38/43.63 cnf(matrix-3684, plain, ( ~class_Orderings_Olinorder(_u7474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7474), _u7475), _u7476)), _u7477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), _u7476), _u7477)) )).
% 43.38/43.63 cnf(matrix-3685, plain, ( ~class_Orderings_Olinorder(_u7474) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), _u7475), _u7477)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), _u7476), _u7477)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7474), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7474), _u7475), _u7476)), _u7477)) )).
% 43.38/43.63 cnf(matrix-3686, plain, ( ~class_Orderings_Olinorder(_u7478) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7478), _u7480), _u7481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), _u7480)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), _u7481)) )).
% 43.38/43.63 cnf(matrix-3687, plain, ( ~class_Orderings_Olinorder(_u7478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7478), _u7480), _u7481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), _u7480)) )).
% 43.38/43.63 cnf(matrix-3688, plain, ( ~class_Orderings_Olinorder(_u7478) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7478), _u7480), _u7481))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7478), _u7479), _u7481)) )).
% 43.38/43.63 cnf(matrix-3689, plain, ( ~class_Orderings_Olinorder(_u7482) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7482), _u7483), _u7484)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7482), _u7483), _u7484) = _u7484) )).
% 43.38/43.63 cnf(matrix-3690, plain, ( ~class_Orderings_Olinorder(_u7482) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7482), _u7483), _u7484) != _u7484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7482), _u7483), _u7484)) )).
% 43.38/43.63 cnf(matrix-3691, plain, ( ~class_Orderings_Olinorder(_u7485) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7485), _u7486), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7485), _u7487), _u7486))) )).
% 43.38/43.63 cnf(matrix-3692, plain, ( ~class_Orderings_Olinorder(_u7488) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7488), _u7489), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7488), _u7489), _u7490))) )).
% 43.38/43.63 cnf(matrix-3693, plain, ( ~class_Orderings_Olinorder(_u7491) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7491), _u7492), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7491), _u7492), _u7493)) = _u7492) )).
% 43.38/43.63 cnf(matrix-3694, plain, ( ~class_Orderings_Olinorder(_u7494) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7494), _u7495), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7494), _u7495), _u7496)) = _u7495) )).
% 43.38/43.63 cnf(matrix-3695, plain, ( ~class_Orderings_Olinorder(_u7497) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7497), _u7498), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7497), _u7499), _u7500)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7497), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7497), _u7498), _u7499)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7497), _u7498), _u7500))) )).
% 43.38/43.63 cnf(matrix-3696, plain, ( ~class_Orderings_Olinorder(_u7501) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7501), _u7502), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7501), _u7503), _u7504)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7501), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7501), _u7502), _u7503)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7501), _u7502), _u7504))) )).
% 43.38/43.63 cnf(matrix-3697, plain, ( ~class_Orderings_Olinorder(_u7505) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7505), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7505), _u7506), _u7507)), _u7508) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7505), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7505), _u7506), _u7508)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7505), _u7507), _u7508))) )).
% 43.38/43.63 cnf(matrix-3698, plain, ( ~class_Orderings_Olinorder(_u7509) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7509), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7509), _u7510), _u7511)), _u7512) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7509), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7509), _u7510), _u7512)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7509), _u7511), _u7512))) )).
% 43.38/43.63 cnf(matrix-3699, plain, ( ~class_Orderings_Olinorder(_u7513) | ~class_Orderings_Olinorder(_u7514) | ~c_Orderings_Oorder__class_Omono(_u7514, _u7513, _u7515) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7513), hAPP(_u7515, _u7516)), hAPP(_u7515, _u7517)) = hAPP(_u7515, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7514), _u7516), _u7517))) )).
% 43.38/43.63 cnf(matrix-3700, plain, ( ~class_Orderings_Olinorder(_u7518) | c_Finite__Set_Ofun__left__comm__idem(_u7518, _u7518, c_Orderings_Oord__class_Omax(_u7518)) )).
% 43.38/43.63 cnf(matrix-3701, plain, ( ~class_Orderings_Olinorder(_u7519) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7519), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7519), _u7520), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7519), _u7521), _u7522))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7519), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7519), _u7520), _u7521)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7519), _u7520), _u7522)))) )).
% 43.38/43.63 cnf(matrix-3702, plain, ( ~class_Orderings_Olinorder(_u7523) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7523), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7523), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7523), _u7524), _u7525)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7523), _u7524), _u7526))), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7523), _u7524), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7523), _u7525), _u7526)))) )).
% 43.38/43.63 cnf(matrix-3703, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u7527), _u7528)), _u7528) = hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7527), _u7528)) )).
% 43.38/43.63 cnf(matrix-3704, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u7529)), _u7530) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7529), 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), _u7529)), _u7530)) )).
% 43.38/43.63 cnf(matrix-3705, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), _u7531), hAPP(c_Nat_OSuc, _u7532)) = c_Nat_Onat_Onat__case(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u7532), 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)), _u7532)), _u7531)) )).
% 43.38/43.63 cnf(matrix-3706, plain, ( ~class_Orderings_Oord(_u7533) | ( c_Orderings_Oord__class_Omax(_u7533) = c_Orderings_Oord_Omax(_u7533, c_Orderings_Oord__class_Oless__eq(_u7533))) )).
% 43.38/43.63 cnf(matrix-3707, plain, ( ~class_Orderings_Olinorder(_u7534) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7534), _u7535)) | ~hBOOL(hAPP(hAPP(c_member(_u7534), _u7536), _u7535)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7534), _u7536), c_Big__Operators_Olinorder__class_OMax(_u7534, _u7535)) = c_Big__Operators_Olinorder__class_OMax(_u7534, _u7535)) )).
% 43.38/43.63 cnf(matrix-3708, plain, ( ~class_Lattices_Osemilattice__sup(_u7537) | ~class_Orderings_Olinorder(_u7538) | ~c_Orderings_Oorder__class_Omono(_u7538, _u7537, _u7539) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7537), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u7537), hAPP(_u7539, _u7540)), hAPP(_u7539, _u7541))), hAPP(_u7539, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7538), _u7540), _u7541)))) )).
% 43.38/43.63 cnf(matrix-3709, plain, ( ~class_Orderings_Olinorder(_u7542) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7542, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7542, _u7543, _u7544)), c_SetInterval_Oord__class_OatLeastAtMost(_u7542, _u7545, _u7546)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7542, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7542), _u7543), _u7545), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7542), _u7544), _u7546))) )).
% 43.38/43.63 cnf(matrix-3710, plain, ( ~class_Orderings_Olinorder(_u7547) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7547, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7547, _u7548), _u7549)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7547, _u7550), _u7551)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u7547, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7547), _u7548), _u7550)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7547), _u7549), _u7551))) )).
% 43.38/43.63 cnf(matrix-3711, plain, ( ~class_Orderings_Olinorder(_u7552) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7552, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7552, _u7553, _u7554)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u7552, _u7555, _u7556)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u7552, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7552), _u7553), _u7555), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7552), _u7554), _u7556))) )).
% 43.38/43.63 cnf(matrix-3712, plain, ( ~class_Orderings_Olinorder(_u7557) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7557, tc_HOL_Obool)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7557, _u7558, _u7559)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u7557, _u7560, _u7561)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u7557, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7557), _u7558), _u7560), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7557), _u7559), _u7561))) )).
% 43.38/43.63 cnf(matrix-3713, plain, ( ~class_Orderings_Olinorder(_u7562) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7562, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u7562), _u7563)), c_SetInterval_Oord__class_OatLeastAtMost(_u7562, _u7564, _u7565)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7562, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7562), _u7563), _u7564), _u7565)) )).
% 43.38/43.63 cnf(matrix-3714, plain, ( ~class_Orderings_Olinorder(_u7566) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7566, tc_HOL_Obool)), c_SetInterval_Oord__class_OatLeastAtMost(_u7566, _u7567, _u7568)), hAPP(c_SetInterval_Oord__class_OatLeast(_u7566), _u7569)) = c_SetInterval_Oord__class_OatLeastAtMost(_u7566, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7566), _u7567), _u7569), _u7568)) )).
% 43.38/43.63 cnf(matrix-3715, plain, ( ~class_Orderings_Olinorder(_u7570) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7570), _u7571)) | ( c_Big__Operators_Olinorder__class_OMax(_u7570, _u7571) = hAPP(c_Finite__Set_Ofold1(_u7570, c_Orderings_Oord__class_Omax(_u7570)), _u7571)) )).
% 43.38/43.63 cnf(matrix-3716, plain, ( ~class_Orderings_Olinorder(_u7572) | ( c_Orderings_Oord_Omin(_u7572, hAPP(c_COMBC(_u7572, _u7572, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u7572))) = c_Orderings_Oord__class_Omax(_u7572)) )).
% 43.38/43.63 cnf(matrix-3717, plain, ( ~class_Orderings_Olinorder(_u7573) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7573), _u7574)) | ( _u7574 = c_Orderings_Obot__class_Obot(tc_fun(_u7573, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7573, hAPP(hAPP(c_Set_Oinsert(_u7573), _u7575), _u7574)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7573), _u7575), c_Big__Operators_Olinorder__class_OMax(_u7573, _u7574))) )).
% 43.38/43.63 cnf(matrix-3718, plain, ( ~class_Orderings_Olinorder(_u7576) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7576), _u7577)) | ( _u7578 = c_Orderings_Obot__class_Obot(tc_fun(_u7576, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7576, tc_HOL_Obool)), _u7578), _u7577)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7576), c_Big__Operators_Olinorder__class_OMax(_u7576, _u7578)), c_Big__Operators_Olinorder__class_OMax(_u7576, _u7577)) = c_Big__Operators_Olinorder__class_OMax(_u7576, _u7577)) )).
% 43.38/43.63 cnf(matrix-3719, plain, ( ~class_Orderings_Olinorder(_u7579) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7579), _u7580)) | ~hBOOL(hAPP(hAPP(c_member(_u7579), _u7581), _u7580)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7579), _u7581), c_Big__Operators_Olattice_OInf__fin(_u7579, c_Orderings_Oord__class_Omin(_u7579), _u7580)) = _u7581) )).
% 43.38/43.63 cnf(matrix-3720, plain, ( ~class_Orderings_Olinorder(_u7582) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7582), _u7583)) | ( _u7583 = c_Orderings_Obot__class_Obot(tc_fun(_u7582, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7582), _u7584)) | ( _u7584 = c_Orderings_Obot__class_Obot(tc_fun(_u7582, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7582, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7582, tc_HOL_Obool)), _u7583), _u7584)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7582), c_Big__Operators_Olinorder__class_OMax(_u7582, _u7583)), c_Big__Operators_Olinorder__class_OMax(_u7582, _u7584))) )).
% 43.38/43.63 cnf(matrix-3721, plain, ( ~class_Orderings_Olinorder(_u7585) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7585), _u7586)) | hBOOL(hAPP(hAPP(c_member(_u7585), _u7587), _u7586)) | ( _u7586 = c_Orderings_Obot__class_Obot(tc_fun(_u7585, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7585, hAPP(hAPP(c_Set_Oinsert(_u7585), _u7587), _u7586)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7585), _u7587), c_Big__Operators_Olinorder__class_OMax(_u7585, _u7586))) )).
% 43.38/43.63 cnf(matrix-3722, plain, ( ~class_Orderings_Olinorder(_u7588) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7588), _u7589)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7588, tc_HOL_Obool)), _u7589), hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7588, hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), _u7589)) = _u7590) )).
% 43.38/43.63 cnf(matrix-3723, plain, ( ~class_Orderings_Olinorder(_u7588) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7588), _u7589)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7588, tc_HOL_Obool)), _u7589), hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7588, hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), _u7589)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7588), _u7590), c_Big__Operators_Olinorder__class_OMax(_u7588, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7588, tc_HOL_Obool)), _u7589), hAPP(hAPP(c_Set_Oinsert(_u7588), _u7590), c_Orderings_Obot__class_Obot(tc_fun(_u7588, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-3724, plain, ( ~class_Orderings_Olinorder(_u7591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7591), _u7592)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7591), _u7593)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7591, tc_HOL_Obool)), _u7592), _u7593) = c_Orderings_Obot__class_Obot(tc_fun(_u7591, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7591), c_Big__Operators_Olinorder__class_OMax(_u7591, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7591, tc_HOL_Obool)), _u7592), _u7593))), c_Big__Operators_Olinorder__class_OMax(_u7591, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7591, tc_HOL_Obool)), _u7592), _u7593))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7591), c_Big__Operators_Olinorder__class_OMax(_u7591, _u7592)), c_Big__Operators_Olinorder__class_OMax(_u7591, _u7593))) )).
% 43.38/43.63 cnf(matrix-3725, plain, ( ~class_Orderings_Olinorder(_u7594) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7594), _u7595)) | ( _u7595 = c_Orderings_Obot__class_Obot(tc_fun(_u7594, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7594), _u7596)) | ( _u7596 = c_Orderings_Obot__class_Obot(tc_fun(_u7594, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7594, tc_HOL_Obool)), _u7595), _u7596) != c_Orderings_Obot__class_Obot(tc_fun(_u7594, tc_HOL_Obool))) | ( c_Big__Operators_Olinorder__class_OMax(_u7594, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7594, tc_HOL_Obool)), _u7595), _u7596)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7594), c_Big__Operators_Olinorder__class_OMax(_u7594, _u7595)), c_Big__Operators_Olinorder__class_OMax(_u7594, _u7596))) )).
% 43.38/43.63 cnf(matrix-3726, plain, ( ~class_Orderings_Olinorder(_u7597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7597), _u7598)) | ( _u7598 = c_Orderings_Obot__class_Obot(tc_fun(_u7597, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7597), _u7599), c_Big__Operators_Olattice_OSup__fin(_u7597, c_Orderings_Oord__class_Omax(_u7597), _u7598)) = c_Big__Operators_Olattice_OSup__fin(_u7597, c_Orderings_Oord__class_Omax(_u7597), hAPP(c_Set_OCollect(_u7597), hAPP(hAPP(c_COMBB(tc_fun(_u7597, tc_HOL_Obool), tc_HOL_Obool, _u7597), c_HOL_OEx(_u7597)), hAPP(hAPP(c_COMBC(_u7597, tc_fun(_u7597, tc_HOL_Obool), tc_fun(_u7597, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7597, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u7597, tc_HOL_Obool), tc_fun(_u7597, tc_HOL_Obool)), _u7597), c_COMBS(_u7597, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7597, tc_HOL_Obool), tc_fun(_u7597, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7597), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7597), c_fconj)), hAPP(hAPP(c_COMBC(_u7597, tc_fun(_u7597, _u7597), tc_fun(_u7597, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u7597, tc_HOL_Obool), tc_fun(tc_fun(_u7597, _u7597), tc_fun(_u7597, tc_HOL_Obool)), _u7597), c_COMBB(_u7597, tc_HOL_Obool, _u7597)), c_fequal)), hAPP(c_Orderings_Oord__class_Omin(_u7597), _u7599))))), hAPP(hAPP(c_COMBC(_u7597, tc_fun(_u7597, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7597)), _u7598)))))) )).
% 43.38/43.63 cnf(matrix-3727, plain, ( ~class_Orderings_Olinorder(_u7600) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7600), _u7601)) | ( _u7601 = c_Orderings_Obot__class_Obot(tc_fun(_u7600, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7600), _u7602)) | ( _u7602 = c_Orderings_Obot__class_Obot(tc_fun(_u7600, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7600), c_Big__Operators_Olattice_OSup__fin(_u7600, c_Orderings_Oord__class_Omax(_u7600), _u7601)), c_Big__Operators_Olattice_OSup__fin(_u7600, c_Orderings_Oord__class_Omax(_u7600), _u7602)) = c_Big__Operators_Olattice_OSup__fin(_u7600, c_Orderings_Oord__class_Omax(_u7600), hAPP(c_Set_OCollect(_u7600), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_HOL_Obool), tc_HOL_Obool, _u7600), c_HOL_OEx(_u7600)), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool)), tc_fun(_u7600, tc_HOL_Obool), _u7600), hAPP(c_COMBB(tc_fun(_u7600, tc_HOL_Obool), tc_HOL_Obool, _u7600), c_HOL_OEx(_u7600))), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool)), tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_fun(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool))), tc_fun(tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool)), tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool))), _u7600), c_COMBS(_u7600, tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_fun(_u7600, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u7600, tc_fun(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool))), _u7600), hAPP(c_COMBB(tc_fun(_u7600, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool)), _u7600), c_COMBS(_u7600, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool)), tc_fun(_u7600, tc_fun(_u7600, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u7600), hAPP(c_COMBB(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u7600), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7600), c_fconj))), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_fun(_u7600, _u7600)), tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u7600, _u7600), tc_fun(_u7600, tc_HOL_Obool)), tc_fun(tc_fun(_u7600, tc_fun(_u7600, _u7600)), tc_fun(_u7600, tc_fun(_u7600, tc_HOL_Obool))), _u7600), c_COMBB(tc_fun(_u7600, _u7600), tc_fun(_u7600, tc_HOL_Obool), _u7600)), hAPP(hAPP(c_COMBB(tc_fun(_u7600, tc_HOL_Obool), tc_fun(tc_fun(_u7600, _u7600), tc_fun(_u7600, tc_HOL_Obool)), _u7600), c_COMBB(_u7600, tc_HOL_Obool, _u7600)), c_fequal))), c_Orderings_Oord__class_Omin(_u7600)))))), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u7600, tc_HOL_Obool), tc_fun(_u7600, tc_HOL_Obool)), _u7600), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7600)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u7600), c_fconj), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7600)), _u7601)))), hAPP(hAPP(c_COMBC(_u7600, tc_fun(_u7600, tc_HOL_Obool), tc_HOL_Obool), c_member(_u7600)), _u7602)))))))) )).
% 43.38/43.63 cnf(matrix-3728, plain, ( ~class_Orderings_Olinorder(_u7605) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7605), _u7606)) | ( _u7606 = c_Orderings_Obot__class_Obot(tc_fun(_u7605, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7605), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7605), skolem208(_u7606, _u7605)), skolem209(_u7606, _u7605))), hAPP(hAPP(c_Set_Oinsert(_u7605), skolem208(_u7606, _u7605)), hAPP(hAPP(c_Set_Oinsert(_u7605), skolem209(_u7606, _u7605)), c_Orderings_Obot__class_Obot(tc_fun(_u7605, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7605), c_Big__Operators_Olinorder__class_OMax(_u7605, _u7606)), _u7606)) )).
% 43.38/43.63 cnf(matrix-3729, plain, ( ~class_Orderings_Olinorder(_u7607) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7607), _u7608)) | ( _u7608 = c_Orderings_Obot__class_Obot(tc_fun(_u7607, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7607), c_Big__Operators_Olattice_OInf__fin(_u7607, c_Orderings_Oord__class_Omin(_u7607), _u7608)), c_Big__Operators_Olattice_OSup__fin(_u7607, c_Orderings_Oord__class_Omax(_u7607), _u7608))) )).
% 43.38/43.63 cnf(matrix-3730, plain, ( ~class_Orderings_Olinorder(_u7609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ~hBOOL(hAPP(hAPP(c_member(_u7609), _u7611), _u7610)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7609, tc_HOL_Obool)), _u7610), hAPP(hAPP(c_Set_Oinsert(_u7609), _u7611), c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7609, c_Orderings_Oord__class_Omax(_u7609), _u7610) = _u7611) )).
% 43.38/43.63 cnf(matrix-3731, plain, ( ~class_Orderings_Olinorder(_u7609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7609), _u7610)) | ~hBOOL(hAPP(hAPP(c_member(_u7609), _u7611), _u7610)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7609, tc_HOL_Obool)), _u7610), hAPP(hAPP(c_Set_Oinsert(_u7609), _u7611), c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7609, c_Orderings_Oord__class_Omax(_u7609), _u7610) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7609), _u7611), c_Big__Operators_Olattice_OSup__fin(_u7609, c_Orderings_Oord__class_Omax(_u7609), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7609, tc_HOL_Obool)), _u7610), hAPP(hAPP(c_Set_Oinsert(_u7609), _u7611), c_Orderings_Obot__class_Obot(tc_fun(_u7609, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-3732, plain, ( ( c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-3733, plain, ( ~class_Orderings_Olinorder(_u7612) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7612), _u7613)) | ~hBOOL(hAPP(hAPP(c_member(_u7612), _u7614), _u7613)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7612), _u7614), c_Big__Operators_Olattice_OSup__fin(_u7612, c_Orderings_Oord__class_Omax(_u7612), _u7613)) = c_Big__Operators_Olattice_OSup__fin(_u7612, c_Orderings_Oord__class_Omax(_u7612), _u7613)) )).
% 43.38/43.63 cnf(matrix-3734, plain, ( ~class_Orderings_Olinorder(_u7615) | ( c_Big__Operators_Olattice_OSup__fin(_u7615, c_Orderings_Oord__class_Omax(_u7615), hAPP(hAPP(c_Set_Oinsert(_u7615), _u7616), c_Orderings_Obot__class_Obot(tc_fun(_u7615, tc_HOL_Obool)))) = _u7616) )).
% 43.38/43.63 cnf(matrix-3735, plain, ( ~class_Orderings_Olinorder(_u7617) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7617), _u7618)) | ( c_Big__Operators_Olattice_OSup__fin(_u7617, c_Orderings_Oord__class_Omax(_u7617), _u7618) = hAPP(c_Finite__Set_Ofold1(_u7617, c_Orderings_Oord__class_Omax(_u7617)), _u7618)) )).
% 43.38/43.63 cnf(matrix-3736, plain, ( ~class_Orderings_Olinorder(_u7619) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7619), _u7620)) | ( _u7620 = c_Orderings_Obot__class_Obot(tc_fun(_u7619, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7619, c_Orderings_Oord__class_Omax(_u7619), hAPP(hAPP(c_Set_Oinsert(_u7619), _u7621), _u7620)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7619), _u7621), c_Big__Operators_Olattice_OSup__fin(_u7619, c_Orderings_Oord__class_Omax(_u7619), _u7620))) )).
% 43.38/43.63 cnf(matrix-3737, plain, ( ~class_Orderings_Olinorder(_u7622) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7622), _u7623)) | ( _u7624 = c_Orderings_Obot__class_Obot(tc_fun(_u7622, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7622, tc_HOL_Obool)), _u7624), _u7623)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7622), c_Big__Operators_Olattice_OSup__fin(_u7622, c_Orderings_Oord__class_Omax(_u7622), _u7624)), c_Big__Operators_Olattice_OSup__fin(_u7622, c_Orderings_Oord__class_Omax(_u7622), _u7623)) = c_Big__Operators_Olattice_OSup__fin(_u7622, c_Orderings_Oord__class_Omax(_u7622), _u7623)) )).
% 43.38/43.63 cnf(matrix-3738, plain, ( ~class_Orderings_Olinorder(_u7625) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7625), _u7626)) | ~hBOOL(hAPP(hAPP(c_member(_u7625), _u7627), _u7626)) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u7625), _u7627), c_Big__Operators_Olattice_OSup__fin(_u7625, c_Orderings_Oord__class_Omax(_u7625), _u7626)) = _u7627) )).
% 43.38/43.63 cnf(matrix-3739, plain, ( ~class_Orderings_Olinorder(_u7628) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7628), _u7629)) | ( _u7629 = c_Orderings_Obot__class_Obot(tc_fun(_u7628, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7628), _u7630)) | ( _u7630 = c_Orderings_Obot__class_Obot(tc_fun(_u7628, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7628, c_Orderings_Oord__class_Omax(_u7628), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7628, tc_HOL_Obool)), _u7629), _u7630)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7628), c_Big__Operators_Olattice_OSup__fin(_u7628, c_Orderings_Oord__class_Omax(_u7628), _u7629)), c_Big__Operators_Olattice_OSup__fin(_u7628, c_Orderings_Oord__class_Omax(_u7628), _u7630))) )).
% 43.38/43.63 cnf(matrix-3740, plain, ( ~class_Orderings_Olinorder(_u7631) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7631), _u7632)) | hBOOL(hAPP(hAPP(c_member(_u7631), _u7633), _u7632)) | ( _u7632 = c_Orderings_Obot__class_Obot(tc_fun(_u7631, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7631, c_Orderings_Oord__class_Omax(_u7631), hAPP(hAPP(c_Set_Oinsert(_u7631), _u7633), _u7632)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7631), _u7633), c_Big__Operators_Olattice_OSup__fin(_u7631, c_Orderings_Oord__class_Omax(_u7631), _u7632))) )).
% 43.38/43.63 cnf(matrix-3741, plain, ( ~class_Orderings_Olinorder(_u7634) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7634), _u7635)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7634, tc_HOL_Obool)), _u7635), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7634, c_Orderings_Oord__class_Omax(_u7634), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), _u7635)) = _u7636) )).
% 43.38/43.63 cnf(matrix-3742, plain, ( ~class_Orderings_Olinorder(_u7634) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7634), _u7635)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7634, tc_HOL_Obool)), _u7635), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7634, c_Orderings_Oord__class_Omax(_u7634), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), _u7635)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7634), _u7636), c_Big__Operators_Olattice_OSup__fin(_u7634, c_Orderings_Oord__class_Omax(_u7634), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7634, tc_HOL_Obool)), _u7635), hAPP(hAPP(c_Set_Oinsert(_u7634), _u7636), c_Orderings_Obot__class_Obot(tc_fun(_u7634, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-3743, plain, ( ~class_Orderings_Olinorder(_u7637) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7637), _u7638)) | ( _u7638 = c_Orderings_Obot__class_Obot(tc_fun(_u7637, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7637), _u7639)) | ( _u7639 = c_Orderings_Obot__class_Obot(tc_fun(_u7637, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7637, tc_HOL_Obool)), _u7638), _u7639) != c_Orderings_Obot__class_Obot(tc_fun(_u7637, tc_HOL_Obool))) | ( c_Big__Operators_Olattice_OSup__fin(_u7637, c_Orderings_Oord__class_Omax(_u7637), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7637, tc_HOL_Obool)), _u7638), _u7639)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7637), c_Big__Operators_Olattice_OSup__fin(_u7637, c_Orderings_Oord__class_Omax(_u7637), _u7638)), c_Big__Operators_Olattice_OSup__fin(_u7637, c_Orderings_Oord__class_Omax(_u7637), _u7639))) )).
% 43.38/43.63 cnf(matrix-3744, plain, ( ~class_Orderings_Olinorder(_u7640) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7640), _u7641)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7640), _u7642)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7640, tc_HOL_Obool)), _u7641), _u7642) = c_Orderings_Obot__class_Obot(tc_fun(_u7640, tc_HOL_Obool))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7640), c_Big__Operators_Olattice_OSup__fin(_u7640, c_Orderings_Oord__class_Omax(_u7640), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u7640, tc_HOL_Obool)), _u7641), _u7642))), c_Big__Operators_Olattice_OSup__fin(_u7640, c_Orderings_Oord__class_Omax(_u7640), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7640, tc_HOL_Obool)), _u7641), _u7642))) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7640), c_Big__Operators_Olattice_OSup__fin(_u7640, c_Orderings_Oord__class_Omax(_u7640), _u7641)), c_Big__Operators_Olattice_OSup__fin(_u7640, c_Orderings_Oord__class_Omax(_u7640), _u7642))) )).
% 43.38/43.63 cnf(matrix-3745, plain, ( ~class_Orderings_Olinorder(_u7645) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7645), _u7646)) | ( _u7646 = c_Orderings_Obot__class_Obot(tc_fun(_u7645, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u7645), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7645), skolem210(_u7646, _u7645)), skolem211(_u7646, _u7645))), hAPP(hAPP(c_Set_Oinsert(_u7645), skolem210(_u7646, _u7645)), hAPP(hAPP(c_Set_Oinsert(_u7645), skolem211(_u7646, _u7645)), c_Orderings_Obot__class_Obot(tc_fun(_u7645, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(_u7645), c_Big__Operators_Olattice_OSup__fin(_u7645, c_Orderings_Oord__class_Omax(_u7645), _u7646)), _u7646)) )).
% 43.38/43.63 cnf(matrix-3746, plain, ( ~class_Orderings_Olinorder(_u7649) | ( hAPP(_u7650, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7649), skolem212(_u7651, _u7650, _u7649)), skolem213(_u7651, _u7650, _u7649))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7649), hAPP(_u7650, skolem212(_u7651, _u7650, _u7649))), hAPP(_u7650, skolem213(_u7651, _u7650, _u7649)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7649), _u7651)) | ( _u7651 = c_Orderings_Obot__class_Obot(tc_fun(_u7649, tc_HOL_Obool))) | ( hAPP(_u7650, c_Big__Operators_Olattice_OSup__fin(_u7649, c_Orderings_Oord__class_Omax(_u7649), _u7651)) = c_Big__Operators_Olattice_OSup__fin(_u7649, c_Orderings_Oord__class_Omax(_u7649), hAPP(c_Set_Oimage(_u7649, _u7649, _u7650), _u7651))) )).
% 43.38/43.63 cnf(matrix-3747, plain, ( ~class_Orderings_Olinorder(_u7654) | ( hAPP(_u7655, hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7654), skolem214(_u7656, _u7655, _u7654)), skolem215(_u7656, _u7655, _u7654))) != hAPP(hAPP(c_Orderings_Oord__class_Omax(_u7654), hAPP(_u7655, skolem214(_u7656, _u7655, _u7654))), hAPP(_u7655, skolem215(_u7656, _u7655, _u7654)))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7654), _u7656)) | ( _u7656 = c_Orderings_Obot__class_Obot(tc_fun(_u7654, tc_HOL_Obool))) | ( hAPP(_u7655, c_Big__Operators_Olinorder__class_OMax(_u7654, _u7656)) = c_Big__Operators_Olinorder__class_OMax(_u7654, hAPP(c_Set_Oimage(_u7654, _u7654, _u7655), _u7656))) )).
% 43.38/43.63 cnf(matrix-3748, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7658), _u7659)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7658, tc_fun(_u7660, tc_HOL_Obool)), _u7659), _u7661))) | hBOOL(hAPP(hAPP(c_member(_u7658), skolem216(_u7661, _u7660, _u7659, _u7658)), _u7659)) )).
% 43.38/43.63 cnf(matrix-3749, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7658), _u7659)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u7660), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u7658, tc_fun(_u7660, tc_HOL_Obool)), _u7659), _u7661))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7660), hAPP(_u7661, skolem216(_u7661, _u7660, _u7659, _u7658)))) )).
% 43.38/43.63 cnf(matrix-3750, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7664)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7666)), hAPP(c_Int_Onat, _u7664)) = hAPP(c_Int_Onat, _u7666)) )).
% 43.38/43.63 cnf(matrix-3751, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7665)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onat, _u7667)), hAPP(c_Int_Onat, _u7665)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u7667), _u7665)), 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))) )).
% 43.38/43.63 cnf(matrix-3752, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-3753, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u7668))) )).
% 43.38/43.63 cnf(matrix-3754, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-3755, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7670)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7670)) )).
% 43.38/43.63 cnf(matrix-3756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u7671)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7671)) )).
% 43.38/43.63 cnf(matrix-3757, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7673)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7673), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-3758, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u7674), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7674)) )).
% 43.38/43.63 cnf(matrix-3759, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7675)) | ( hAPP(c_Int_Onat, _u7675) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-3760, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, _u7676)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onat, _u7676)) = _u7676) )).
% 43.38/43.63 cnf(matrix-3761, plain, ( ~class_Groups_Ocomm__monoid__add(_u7677) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7678), _u7679)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, _u7677), hAPP(hAPP(c_COMBS(_u7678, _u7677, _u7677), hAPP(hAPP(c_COMBS(_u7678, _u7677, tc_fun(_u7677, _u7677)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u7677, tc_fun(_u7677, _u7677)), _u7678), c_If(_u7677)), _u7680)), _u7681)), _u7682)), _u7679) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7677), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, _u7677), _u7681), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7678, tc_HOL_Obool)), _u7679), hAPP(c_Set_OCollect(_u7678), _u7680)))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7678, _u7677), _u7682), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u7678, tc_HOL_Obool)), _u7679), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7678, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u7678), _u7680)))))) )).
% 43.38/43.63 cnf(matrix-3762, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7683) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7684), _u7685)) | ~hBOOL(hAPP(hAPP(c_member(_u7684), _u7686), _u7685)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7684, _u7683), _u7687), _u7685) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7683), hAPP(_u7687, _u7686)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7684, _u7683), _u7687), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u7684, tc_HOL_Obool)), _u7685), hAPP(hAPP(c_Set_Oinsert(_u7684), _u7686), c_Orderings_Obot__class_Obot(tc_fun(_u7684, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-3763, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OCond(_u7688, _u7689, _u7690)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u7689)), c_Com_Ocom_Ocom__size(_u7690))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.63 cnf(matrix-3764, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OCond(_u7691, _u7692, _u7693)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7692)), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u7693))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.63 cnf(matrix-3765, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7695) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7696), _u7697)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7695, _u7696, c_Groups_Otimes__class_Otimes(_u7695)), _u7698), c_Groups_Oone__class_Oone(_u7695)), _u7697) = c_Groups_Oone__class_Oone(_u7695)) | hBOOL(hAPP(hAPP(c_member(_u7696), skolem217(_u7698, _u7697, _u7696, _u7695)), _u7697)) )).
% 43.38/43.63 cnf(matrix-3766, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7695) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u7696), _u7697)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u7695, _u7696, c_Groups_Otimes__class_Otimes(_u7695)), _u7698), c_Groups_Oone__class_Oone(_u7695)), _u7697) = c_Groups_Oone__class_Oone(_u7695)) | ( hAPP(_u7698, skolem217(_u7698, _u7697, _u7696, _u7695)) != c_Groups_Oone__class_Oone(_u7695)) )).
% 43.38/43.63 cnf(matrix-3767, plain, ( ~class_Groups_Oordered__ab__group__add(_u7699) | c_Fun_Oinj__on(_u7699, _u7699, c_Groups_Ouminus__class_Ouminus(_u7699), _u7700) )).
% 43.38/43.63 cnf(matrix-3768, plain, ( hBOOL(hAPP(hAPP(c_member(_u7701), _u7702), _u7703)) | hBOOL(hAPP(hAPP(c_member(_u7701), _u7702), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7701, tc_HOL_Obool)), _u7703))) )).
% 43.38/43.63 cnf(matrix-3769, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7704, _u7705, _u7706), _u7707, _u7708, _u7709) | hBOOL(hAPP(_u7704, _u7707)) | c_Natural_Oevaln(_u7706, _u7707, _u7708, _u7709) )).
% 43.38/43.63 cnf(matrix-3770, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7704, _u7705, _u7706), _u7707, _u7708, _u7709) | c_Natural_Oevaln(_u7705, _u7707, _u7708, _u7709) | ~hBOOL(hAPP(_u7704, _u7707)) )).
% 43.38/43.63 cnf(matrix-3771, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7704, _u7705, _u7706), _u7707, _u7708, _u7709) | c_Natural_Oevaln(_u7705, _u7707, _u7708, _u7709) | c_Natural_Oevaln(_u7706, _u7707, _u7708, _u7709) )).
% 43.38/43.63 cnf(matrix-3772, plain, ( ~hBOOL(hAPP(_u7710, _u7711)) | ~c_Natural_Oevaln(_u7712, _u7711, _u7713, _u7714) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u7710, _u7712, _u7715), _u7711, _u7713, _u7714) )).
% 43.38/43.63 cnf(matrix-3773, plain, ( hBOOL(hAPP(_u7716, _u7717)) | ~c_Natural_Oevaln(_u7718, _u7717, _u7719, _u7720) | c_Natural_Oevaln(c_Com_Ocom_OCond(_u7716, _u7721, _u7718), _u7717, _u7719, _u7720) )).
% 43.38/43.63 cnf(matrix-3774, plain, ( hBOOL(hAPP(_u7722, _u7723)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7724), _u7723), _u7725)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7722, _u7726, _u7724)), _u7723), _u7725)) )).
% 43.38/43.63 cnf(matrix-3775, plain, ( ~hBOOL(hAPP(_u7727, _u7728)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7729), _u7728), _u7730)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7727, _u7729, _u7731)), _u7728), _u7730)) )).
% 43.38/43.63 cnf(matrix-3776, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7732, _u7733, _u7734)), _u7735), _u7736)) | hBOOL(hAPP(_u7732, _u7735)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7734), _u7735), _u7736)) )).
% 43.38/43.63 cnf(matrix-3777, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7732, _u7733, _u7734)), _u7735), _u7736)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7733), _u7735), _u7736)) | ~hBOOL(hAPP(_u7732, _u7735)) )).
% 43.38/43.63 cnf(matrix-3778, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7732, _u7733, _u7734)), _u7735), _u7736)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7733), _u7735), _u7736)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7734), _u7735), _u7736)) )).
% 43.38/43.63 cnf(matrix-3779, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7737, tc_Nat_Onat), _u7738), _u7739) = hAPP(c_Int_Onat, hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7737, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7737), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7738)), _u7739))) )).
% 43.38/43.63 cnf(matrix-3780, plain, ( ~class_Lattices_Oboolean__algebra(_u7740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7740), hAPP(c_Groups_Ouminus__class_Ouminus(_u7740), _u7741)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7740), _u7742))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7740), _u7742), _u7741)) )).
% 43.38/43.63 cnf(matrix-3781, plain, ( ~class_Lattices_Oboolean__algebra(_u7740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7740), _u7742), _u7741)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7740), hAPP(c_Groups_Ouminus__class_Ouminus(_u7740), _u7741)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7740), _u7742))) )).
% 43.38/43.63 cnf(matrix-3782, plain, ( ~class_Lattices_Oboolean__algebra(_u7743) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7743), _u7744), _u7745)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7743), hAPP(c_Groups_Ouminus__class_Ouminus(_u7743), _u7745)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7743), _u7744))) )).
% 43.38/43.63 cnf(matrix-3783, plain, ( ~class_Groups_Oordered__ab__group__add(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7746), _u7747), hAPP(c_Groups_Ouminus__class_Ouminus(_u7746), _u7748))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7746), _u7748), hAPP(c_Groups_Ouminus__class_Ouminus(_u7746), _u7747))) )).
% 43.38/43.63 cnf(matrix-3784, plain, ( ~class_Groups_Oordered__ab__group__add(_u7746) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7746), _u7748), hAPP(c_Groups_Ouminus__class_Ouminus(_u7746), _u7747))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7746), _u7747), hAPP(c_Groups_Ouminus__class_Ouminus(_u7746), _u7748))) )).
% 43.38/43.63 cnf(matrix-3785, plain, ( ~class_Groups_Oordered__ab__group__add(_u7749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7749), hAPP(c_Groups_Ouminus__class_Ouminus(_u7749), _u7750)), _u7751)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7749), hAPP(c_Groups_Ouminus__class_Ouminus(_u7749), _u7751)), _u7750)) )).
% 43.38/43.63 cnf(matrix-3786, plain, ( ~class_Groups_Oordered__ab__group__add(_u7749) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7749), hAPP(c_Groups_Ouminus__class_Ouminus(_u7749), _u7751)), _u7750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7749), hAPP(c_Groups_Ouminus__class_Ouminus(_u7749), _u7750)), _u7751)) )).
% 43.38/43.63 cnf(matrix-3787, plain, ( ~class_Groups_Oordered__ab__group__add(_u7752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7752), hAPP(c_Groups_Ouminus__class_Ouminus(_u7752), _u7753)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7752), _u7754))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7752), _u7754), _u7753)) )).
% 43.38/43.63 cnf(matrix-3788, plain, ( ~class_Groups_Oordered__ab__group__add(_u7752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7752), _u7754), _u7753)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7752), hAPP(c_Groups_Ouminus__class_Ouminus(_u7752), _u7753)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7752), _u7754))) )).
% 43.38/43.63 cnf(matrix-3789, plain, ( ~class_Groups_Oordered__ab__group__add(_u7755) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7755), _u7756), _u7757)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u7755), hAPP(c_Groups_Ouminus__class_Ouminus(_u7755), _u7757)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7755), _u7756))) )).
% 43.38/43.63 cnf(matrix-3790, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7758) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7758), _u7759) != _u7759) | ( _u7759 = c_Groups_Ozero__class_Ozero(_u7758)) )).
% 43.38/43.63 cnf(matrix-3791, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7758) | ( _u7759 != c_Groups_Ozero__class_Ozero(_u7758)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7758), _u7759) = _u7759) )).
% 43.38/43.63 cnf(matrix-3792, plain, ( ~class_Groups_Ogroup__add(_u7760) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7760), _u7761) != c_Groups_Ozero__class_Ozero(_u7760)) | ( _u7761 = c_Groups_Ozero__class_Ozero(_u7760)) )).
% 43.38/43.63 cnf(matrix-3793, plain, ( ~class_Groups_Ogroup__add(_u7760) | ( _u7761 != c_Groups_Ozero__class_Ozero(_u7760)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7760), _u7761) = c_Groups_Ozero__class_Ozero(_u7760)) )).
% 43.38/43.63 cnf(matrix-3794, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7762) | ( _u7763 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7762), _u7763)) | ( _u7763 = c_Groups_Ozero__class_Ozero(_u7762)) )).
% 43.38/43.63 cnf(matrix-3795, plain, ( ~class_Groups_Olinordered__ab__group__add(_u7762) | ( _u7763 != c_Groups_Ozero__class_Ozero(_u7762)) | ( _u7763 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7762), _u7763)) )).
% 43.38/43.63 cnf(matrix-3796, plain, ( ~class_Groups_Ogroup__add(_u7764) | ( c_Groups_Ozero__class_Ozero(_u7764) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7764), _u7765)) | ( c_Groups_Ozero__class_Ozero(_u7764) = _u7765) )).
% 43.38/43.63 cnf(matrix-3797, plain, ( ~class_Groups_Ogroup__add(_u7764) | ( c_Groups_Ozero__class_Ozero(_u7764) != _u7765) | ( c_Groups_Ozero__class_Ozero(_u7764) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7764), _u7765)) )).
% 43.38/43.63 cnf(matrix-3798, plain, ( ~class_Groups_Ogroup__add(_u7766) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7766), c_Groups_Ozero__class_Ozero(_u7766)) = c_Groups_Ozero__class_Ozero(_u7766)) )).
% 43.38/43.63 cnf(matrix-3799, plain, ( ~class_Groups_Oordered__ab__group__add(_u7767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7767), _u7768), hAPP(c_Groups_Ouminus__class_Ouminus(_u7767), _u7769))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7767), _u7769), hAPP(c_Groups_Ouminus__class_Ouminus(_u7767), _u7768))) )).
% 43.38/43.63 cnf(matrix-3800, plain, ( ~class_Groups_Oordered__ab__group__add(_u7767) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7767), _u7769), hAPP(c_Groups_Ouminus__class_Ouminus(_u7767), _u7768))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7767), _u7768), hAPP(c_Groups_Ouminus__class_Ouminus(_u7767), _u7769))) )).
% 43.38/43.63 cnf(matrix-3801, plain, ( ~class_Groups_Oordered__ab__group__add(_u7770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7770), hAPP(c_Groups_Ouminus__class_Ouminus(_u7770), _u7771)), _u7772)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7770), hAPP(c_Groups_Ouminus__class_Ouminus(_u7770), _u7772)), _u7771)) )).
% 43.38/43.63 cnf(matrix-3802, plain, ( ~class_Groups_Oordered__ab__group__add(_u7770) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7770), hAPP(c_Groups_Ouminus__class_Ouminus(_u7770), _u7772)), _u7771)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7770), hAPP(c_Groups_Ouminus__class_Ouminus(_u7770), _u7771)), _u7772)) )).
% 43.38/43.63 cnf(matrix-3803, plain, ( ~class_Groups_Oordered__ab__group__add(_u7773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7773), hAPP(c_Groups_Ouminus__class_Ouminus(_u7773), _u7774)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7773), _u7775))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7773), _u7775), _u7774)) )).
% 43.38/43.63 cnf(matrix-3804, plain, ( ~class_Groups_Oordered__ab__group__add(_u7773) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7773), _u7775), _u7774)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u7773), hAPP(c_Groups_Ouminus__class_Ouminus(_u7773), _u7774)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7773), _u7775))) )).
% 43.38/43.63 cnf(matrix-3805, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7776, tc_Nat_Onat), _u7777), _u7778)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7776, tc_Int_Oint), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Int_Oint, _u7776), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u7777)), _u7778)) )).
% 43.38/43.63 cnf(matrix-3806, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7779) | ~class_Rings_Osemiring__1(_u7779) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u7779), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7780, tc_Nat_Onat), _u7781), _u7782)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7780, _u7779), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u7779, _u7780), c_Nat_Osemiring__1__class_Oof__nat(_u7779)), _u7781)), _u7782)) )).
% 43.38/43.63 cnf(matrix-3807, plain, ( ( c_Com_Ocom_OCond(_u7789, _u7791, _u7793) != c_Com_Ocom_OCond(_u7795, _u7797, _u7799)) | ( _u7789 = _u7795) )).
% 43.38/43.63 cnf(matrix-3808, plain, ( ( c_Com_Ocom_OCond(_u7789, _u7791, _u7793) != c_Com_Ocom_OCond(_u7795, _u7797, _u7799)) | ( _u7791 = _u7797) )).
% 43.38/43.63 cnf(matrix-3809, plain, ( ( c_Com_Ocom_OCond(_u7789, _u7791, _u7793) != c_Com_Ocom_OCond(_u7795, _u7797, _u7799)) | ( _u7793 = _u7799) )).
% 43.38/43.63 cnf(matrix-3810, plain, ( ( _u7790 != _u7796) | ( _u7792 != _u7798) | ( _u7794 != _u7800) | ( c_Com_Ocom_OCond(_u7790, _u7792, _u7794) = c_Com_Ocom_OCond(_u7796, _u7798, _u7800)) )).
% 43.38/43.63 cnf(matrix-3811, plain, ( ~class_Lattices_Oboolean__algebra(_u7801) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7801), _u7802) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7801), _u7803)) | ( _u7802 = _u7803) )).
% 43.38/43.63 cnf(matrix-3812, plain, ( ~class_Lattices_Oboolean__algebra(_u7801) | ( _u7802 != _u7803) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7801), _u7802) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7801), _u7803)) )).
% 43.38/43.63 cnf(matrix-3813, plain, ( ( _u7809 = _u7811) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7807, tc_HOL_Obool)), _u7809) != hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7807, tc_HOL_Obool)), _u7811)) )).
% 43.38/43.63 cnf(matrix-3814, plain, ( ( _u7810 != _u7812) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7808, tc_HOL_Obool)), _u7810) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7808, tc_HOL_Obool)), _u7812)) )).
% 43.38/43.63 cnf(matrix-3815, plain, ( ~class_Groups_Ouminus(_u7813) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7814, _u7813)), _u7815), _u7816) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7813), hAPP(_u7815, _u7816))) )).
% 43.38/43.63 cnf(matrix-3816, plain, ( ~class_Lattices_Oboolean__algebra(_u7817) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7817), hAPP(c_Groups_Ouminus__class_Ouminus(_u7817), _u7818)) = _u7818) )).
% 43.38/43.63 cnf(matrix-3817, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7819, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7819, tc_HOL_Obool)), _u7820)) = _u7820) )).
% 43.38/43.63 cnf(matrix-3818, plain, ( ~class_Groups_Ouminus(_u7821) | ( hAPP(hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7822, _u7821)), _u7823), _u7824) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7821), hAPP(_u7823, _u7824))) )).
% 43.38/43.63 cnf(matrix-3819, plain, ( ~class_Groups_Ogroup__add(_u7825) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7825), _u7826) != hAPP(c_Groups_Ouminus__class_Ouminus(_u7825), _u7827)) | ( _u7826 = _u7827) )).
% 43.38/43.63 cnf(matrix-3820, plain, ( ~class_Groups_Ogroup__add(_u7825) | ( _u7826 != _u7827) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7825), _u7826) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7825), _u7827)) )).
% 43.38/43.63 cnf(matrix-3821, plain, ( ~class_Groups_Ogroup__add(_u7828) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7828), _u7829) != _u7830) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7828), _u7830) = _u7829) )).
% 43.38/43.63 cnf(matrix-3822, plain, ( ~class_Groups_Ogroup__add(_u7828) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7828), _u7830) != _u7829) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7828), _u7829) = _u7830) )).
% 43.38/43.63 cnf(matrix-3823, plain, ( ~class_Groups_Ogroup__add(_u7831) | ( _u7832 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7831), _u7833)) | ( _u7833 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7831), _u7832)) )).
% 43.38/43.63 cnf(matrix-3824, plain, ( ~class_Groups_Ogroup__add(_u7831) | ( _u7833 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7831), _u7832)) | ( _u7832 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7831), _u7833)) )).
% 43.38/43.63 cnf(matrix-3825, plain, ( ~class_Groups_Ogroup__add(_u7834) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7834), hAPP(c_Groups_Ouminus__class_Ouminus(_u7834), _u7835)) = _u7835) )).
% 43.38/43.63 cnf(matrix-3826, plain, ( ~class_Groups_Oab__group__add(_u7836) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7836), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7836), _u7837), _u7838)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u7836), _u7838), _u7837)) )).
% 43.38/43.63 cnf(matrix-3827, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7842), _u7844), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7842, tc_HOL_Obool)), _u7846))) | ~hBOOL(hAPP(hAPP(c_member(_u7842), _u7844), _u7846)) )).
% 43.38/43.63 cnf(matrix-3828, plain, ( hBOOL(hAPP(hAPP(c_member(_u7843), _u7845), _u7847)) | hBOOL(hAPP(hAPP(c_member(_u7843), _u7845), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7843, tc_HOL_Obool)), _u7847))) )).
% 43.38/43.63 cnf(matrix-3829, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7848), _u7849), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7848, tc_HOL_Obool)), _u7850))) | ~hBOOL(hAPP(hAPP(c_member(_u7848), _u7849), _u7850)) )).
% 43.38/43.63 cnf(matrix-3830, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u7851), _u7852), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7851, tc_HOL_Obool)), _u7853))) | ~hBOOL(hAPP(hAPP(c_member(_u7851), _u7852), _u7853)) )).
% 43.38/43.63 cnf(matrix-3831, plain, ( ~class_Rings_Oring(_u7854) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7854), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7854), _u7855), _u7856)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7854), _u7855), hAPP(c_Groups_Ouminus__class_Ouminus(_u7854), _u7856))) )).
% 43.38/43.63 cnf(matrix-3832, plain, ( ~class_Rings_Oring(_u7857) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7857), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7857), _u7858), _u7859)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7857), hAPP(c_Groups_Ouminus__class_Ouminus(_u7857), _u7858)), _u7859)) )).
% 43.38/43.63 cnf(matrix-3833, plain, ( ~class_Rings_Oring(_u7860) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7860), hAPP(c_Groups_Ouminus__class_Ouminus(_u7860), _u7861)), _u7862) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7860), _u7861), hAPP(c_Groups_Ouminus__class_Ouminus(_u7860), _u7862))) )).
% 43.38/43.63 cnf(matrix-3834, plain, ( ~class_Rings_Oring(_u7863) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7863), hAPP(c_Groups_Ouminus__class_Ouminus(_u7863), _u7864)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7863), _u7865)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7863), _u7864), _u7865)) )).
% 43.38/43.63 cnf(matrix-3835, plain, ( ~class_Rings_Oidom(_u7866) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7867), _u7867) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7868), _u7868)) | ( _u7867 = _u7868) | ( _u7867 = hAPP(c_Groups_Ouminus__class_Ouminus(_u7866), _u7868)) )).
% 43.38/43.63 cnf(matrix-3836, plain, ( ~class_Rings_Oidom(_u7866) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7867), _u7867) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7868), _u7868)) | ( _u7867 != _u7868) )).
% 43.38/43.63 cnf(matrix-3837, plain, ( ~class_Rings_Oidom(_u7866) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7867), _u7867) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7866), _u7868), _u7868)) | ( _u7867 != hAPP(c_Groups_Ouminus__class_Ouminus(_u7866), _u7868)) )).
% 43.38/43.63 cnf(matrix-3838, plain, ( ~class_Groups_Oab__group__add(_u7869) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7869), _u7870), _u7871)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7869), hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7870)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7869), _u7871))) )).
% 43.38/43.63 cnf(matrix-3839, plain, ( ~class_Groups_Ogroup__add(_u7872) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u7872), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7872), _u7873), _u7874)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7872), hAPP(c_Groups_Ouminus__class_Ouminus(_u7872), _u7874)), hAPP(c_Groups_Ouminus__class_Ouminus(_u7872), _u7873))) )).
% 43.38/43.63 cnf(matrix-3840, plain, ( ~class_Groups_Ogroup__add(_u7875) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7875), _u7876), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7875), hAPP(c_Groups_Ouminus__class_Ouminus(_u7875), _u7876)), _u7877)) = _u7877) )).
% 43.38/43.63 cnf(matrix-3841, plain, ( ~class_Groups_Ogroup__add(_u7878) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7878), hAPP(c_Groups_Ouminus__class_Ouminus(_u7878), _u7879)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u7878), _u7879), _u7880)) = _u7880) )).
% 43.38/43.63 cnf(matrix-3842, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u7881) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7881), hAPP(c_Groups_Ouminus__class_Ouminus(_u7881), _u7882)) = hAPP(c_Groups_Oabs__class_Oabs(_u7881), _u7882)) )).
% 43.38/43.63 cnf(matrix-3843, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7886, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7886, tc_HOL_Obool)), _u7888)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7886, tc_HOL_Obool)), _u7890))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7886, tc_HOL_Obool)), _u7890), _u7888)) )).
% 43.38/43.63 cnf(matrix-3844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7887, tc_HOL_Obool)), _u7891), _u7889)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7887, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7887, tc_HOL_Obool)), _u7889)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7887, tc_HOL_Obool)), _u7891))) )).
% 43.38/43.63 cnf(matrix-3845, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7892, tc_HOL_Obool)), _u7893), _u7894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u7892, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7892, tc_HOL_Obool)), _u7894)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7892, tc_HOL_Obool)), _u7893))) )).
% 43.38/43.63 cnf(matrix-3846, plain, ( ( hAPP(c_Set_Ovimage(_u7895, _u7896, _u7897), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7896, tc_HOL_Obool)), _u7898)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7895, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u7895, _u7896, _u7897), _u7898))) )).
% 43.38/43.63 cnf(matrix-3847, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7899) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7900, _u7899), hAPP(hAPP(c_COMBS(_u7900, _u7899, _u7899), hAPP(hAPP(c_COMBB(_u7899, tc_fun(_u7899, _u7899), _u7900), c_Groups_Otimes__class_Otimes(_u7899)), _u7901)), _u7902)), _u7903) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u7899), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7900, _u7899), _u7901), _u7903)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7900, _u7899), _u7902), _u7903))) )).
% 43.38/43.63 cnf(matrix-3848, plain, ( ~class_Groups_Ocomm__monoid__mult(_u7904) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7905, _u7904), hAPP(c_COMBK(_u7904, _u7905), c_Groups_Oone__class_Oone(_u7904))), _u7906) = c_Groups_Oone__class_Oone(_u7904)) )).
% 43.38/43.63 cnf(matrix-3849, plain, ( ~class_Fields_Olinordered__field(_u7907) | ( hAPP(c_Groups_Oabs__class_Oabs(_u7907), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7908, _u7907), _u7909), _u7910)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u7908, _u7907), hAPP(hAPP(c_COMBB(_u7907, _u7907, _u7908), c_Groups_Oabs__class_Oabs(_u7907)), _u7909)), _u7910)) )).
% 43.38/43.63 cnf(matrix-3850, plain, ( ~class_Groups_Oab__group__add(_u7911) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7912, _u7911), hAPP(hAPP(c_COMBB(_u7911, _u7911, _u7912), c_Groups_Ouminus__class_Ouminus(_u7911)), _u7913)), _u7914) = hAPP(c_Groups_Ouminus__class_Ouminus(_u7911), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u7912, _u7911), _u7913), _u7914))) )).
% 43.38/43.63 cnf(matrix-3851, plain, ( ( hAPP(c_Set_OCollect(_u7915), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u7915), c_fNot), _u7916)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u7915, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u7915), _u7916))) )).
% 43.38/43.63 cnf(matrix-3852, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7923, _u7925, _u7927), _u7929, _u7931, _u7933) | hBOOL(hAPP(_u7923, _u7929)) | c_Natural_Oevaln(_u7927, _u7929, _u7931, _u7933) )).
% 43.38/43.63 cnf(matrix-3853, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7923, _u7925, _u7927), _u7929, _u7931, _u7933) | c_Natural_Oevaln(_u7925, _u7929, _u7931, _u7933) | ~hBOOL(hAPP(_u7923, _u7929)) )).
% 43.38/43.63 cnf(matrix-3854, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7923, _u7925, _u7927), _u7929, _u7931, _u7933) | c_Natural_Oevaln(_u7925, _u7929, _u7931, _u7933) | c_Natural_Oevaln(_u7927, _u7929, _u7931, _u7933) )).
% 43.38/43.63 cnf(matrix-3855, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u7924, _u7926, _u7928), _u7930, _u7932, _u7934) | ~hBOOL(hAPP(_u7924, _u7930)) | ~c_Natural_Oevaln(_u7926, _u7930, _u7932, _u7934) )).
% 43.38/43.63 cnf(matrix-3856, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u7924, _u7926, _u7928), _u7930, _u7932, _u7934) | hBOOL(hAPP(_u7924, _u7930)) | ~c_Natural_Oevaln(_u7928, _u7930, _u7932, _u7934) )).
% 43.38/43.63 cnf(matrix-3857, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7941, _u7943, _u7945), _u7947, _u7949, _u7951) | hBOOL(hAPP(_u7941, _u7947)) | c_Natural_Oevaln(_u7945, _u7947, _u7949, _u7951) )).
% 43.38/43.63 cnf(matrix-3858, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7941, _u7943, _u7945), _u7947, _u7949, _u7951) | c_Natural_Oevaln(_u7943, _u7947, _u7949, _u7951) | ~hBOOL(hAPP(_u7941, _u7947)) )).
% 43.38/43.63 cnf(matrix-3859, plain, ( ~c_Natural_Oevaln(c_Com_Ocom_OCond(_u7941, _u7943, _u7945), _u7947, _u7949, _u7951) | c_Natural_Oevaln(_u7943, _u7947, _u7949, _u7951) | c_Natural_Oevaln(_u7945, _u7947, _u7949, _u7951) )).
% 43.38/43.63 cnf(matrix-3860, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u7942, _u7944, _u7946), _u7948, _u7950, _u7952) | ~hBOOL(hAPP(_u7942, _u7948)) | ~c_Natural_Oevaln(_u7944, _u7948, _u7950, _u7952) )).
% 43.38/43.63 cnf(matrix-3861, plain, ( c_Natural_Oevaln(c_Com_Ocom_OCond(_u7942, _u7944, _u7946), _u7948, _u7950, _u7952) | hBOOL(hAPP(_u7942, _u7948)) | ~c_Natural_Oevaln(_u7946, _u7948, _u7950, _u7952) )).
% 43.38/43.63 cnf(matrix-3862, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7958, _u7960, _u7962)), _u7964), _u7966)) | hBOOL(hAPP(_u7958, _u7964)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7962), _u7964), _u7966)) )).
% 43.38/43.63 cnf(matrix-3863, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7958, _u7960, _u7962)), _u7964), _u7966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7960), _u7964), _u7966)) | ~hBOOL(hAPP(_u7958, _u7964)) )).
% 43.38/43.63 cnf(matrix-3864, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7958, _u7960, _u7962)), _u7964), _u7966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7960), _u7964), _u7966)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7962), _u7964), _u7966)) )).
% 43.38/43.63 cnf(matrix-3865, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7959, _u7961, _u7963)), _u7965), _u7967)) | ~hBOOL(hAPP(_u7959, _u7965)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7961), _u7965), _u7967)) )).
% 43.38/43.63 cnf(matrix-3866, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7959, _u7961, _u7963)), _u7965), _u7967)) | hBOOL(hAPP(_u7959, _u7965)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7963), _u7965), _u7967)) )).
% 43.38/43.63 cnf(matrix-3867, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7973, _u7975, _u7977)), _u7979), _u7981)) | hBOOL(hAPP(_u7973, _u7979)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7977), _u7979), _u7981)) )).
% 43.38/43.63 cnf(matrix-3868, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7973, _u7975, _u7977)), _u7979), _u7981)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7975), _u7979), _u7981)) | ~hBOOL(hAPP(_u7973, _u7979)) )).
% 43.38/43.63 cnf(matrix-3869, plain, ( ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7973, _u7975, _u7977)), _u7979), _u7981)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7975), _u7979), _u7981)) | hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7977), _u7979), _u7981)) )).
% 43.38/43.63 cnf(matrix-3870, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7974, _u7976, _u7978)), _u7980), _u7982)) | ~hBOOL(hAPP(_u7974, _u7980)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7976), _u7980), _u7982)) )).
% 43.38/43.63 cnf(matrix-3871, plain, ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(_u7974, _u7976, _u7978)), _u7980), _u7982)) | hBOOL(hAPP(_u7974, _u7980)) | ~hBOOL(hAPP(hAPP(c_Natural_Oevalc(_u7978), _u7980), _u7982)) )).
% 43.38/43.63 cnf(matrix-3872, plain, ( ( c_Com_Ocom_OCond(_u7983, _u7984, _u7985) != hAPP(c_Com_Ocom_OBODY, _u7986)) )).
% 43.38/43.63 cnf(matrix-3873, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u7987) != c_Com_Ocom_OCond(_u7988, _u7989, _u7990)) )).
% 43.38/43.63 cnf(matrix-3874, plain, ( ( c_Com_Ocom_OCond(_u7991, _u7992, _u7993) != c_Com_Ocom_OWhile(_u7994, _u7995)) )).
% 43.38/43.63 cnf(matrix-3875, plain, ( ( c_Com_Ocom_OWhile(_u7996, _u7997) != c_Com_Ocom_OCond(_u7998, _u7999, _u8000)) )).
% 43.38/43.63 cnf(matrix-3876, plain, ( ~class_Groups_Ocomm__monoid__add(_u8001) | ~class_Groups_Ocomm__monoid__mult(_u8001) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8001), _u8002), _u8003) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8001), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u8001, tc_Int_Oint), _u8002), c_Int_Onat)), hAPP(c_Set_Oimage(tc_Nat_Onat, tc_Int_Oint, c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u8003))) )).
% 43.38/43.63 cnf(matrix-3877, plain, ( ( c_Com_Ocom_OCond(_u8004, _u8005, _u8006) != c_Com_Ocom_OSemi(_u8007, _u8008)) )).
% 43.38/43.63 cnf(matrix-3878, plain, ( ( c_Com_Ocom_OSemi(_u8009, _u8010) != c_Com_Ocom_OCond(_u8011, _u8012, _u8013)) )).
% 43.38/43.63 cnf(matrix-3879, plain, ( ( c_Com_Ocom_OCond(_u8014, _u8015, _u8016) != c_Com_Ocom_OSKIP) )).
% 43.38/43.63 cnf(matrix-3880, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OCond(_u8017, _u8018, _u8019)) )).
% 43.38/43.63 cnf(matrix-3881, plain, ( ~class_Rings_Ocomm__semiring__1(_u8021) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8022), _u8023)) | ~hBOOL(hAPP(hAPP(c_member(_u8022), _u8020), _u8023)) | ( hAPP(_u8024, _u8020) != c_Groups_Ozero__class_Ozero(_u8021)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8022, _u8021), _u8024), _u8023) = c_Groups_Ozero__class_Ozero(_u8021)) )).
% 43.38/43.63 cnf(matrix-3882, plain, ( ~class_Rings_Ocomm__semiring__1(_u8027) | ~class_Rings_Ono__zero__divisors(_u8027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8028), _u8029)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8028, _u8027), _u8030), _u8029) != c_Groups_Ozero__class_Ozero(_u8027)) | hBOOL(hAPP(hAPP(c_member(_u8028), skolem218(_u8030, _u8029, _u8028, _u8027)), _u8029)) )).
% 43.38/43.63 cnf(matrix-3883, plain, ( ~class_Rings_Ocomm__semiring__1(_u8027) | ~class_Rings_Ono__zero__divisors(_u8027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8028), _u8029)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8028, _u8027), _u8030), _u8029) != c_Groups_Ozero__class_Ozero(_u8027)) | ( hAPP(_u8030, skolem218(_u8030, _u8029, _u8028, _u8027)) = c_Groups_Ozero__class_Ozero(_u8027)) )).
% 43.38/43.63 cnf(matrix-3884, plain, ( ~class_Rings_Ocomm__semiring__1(_u8027) | ~class_Rings_Ono__zero__divisors(_u8027) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8028), _u8029)) | ~hBOOL(hAPP(hAPP(c_member(_u8028), _u8026), _u8029)) | ( hAPP(_u8030, _u8026) != c_Groups_Ozero__class_Ozero(_u8027)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8028, _u8027), _u8030), _u8029) = c_Groups_Ozero__class_Ozero(_u8027)) )).
% 43.38/43.63 cnf(matrix-3885, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8031) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8032, _u8031), _u8033), c_Orderings_Obot__class_Obot(tc_fun(_u8032, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u8031)) )).
% 43.38/43.63 cnf(matrix-3886, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8034) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8035, _u8034), _u8036), c_Orderings_Obot__class_Obot(tc_fun(_u8035, tc_HOL_Obool))) = c_Groups_Oone__class_Oone(_u8034)) )).
% 43.38/43.63 cnf(matrix-3887, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8037) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8038), _u8039)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8038, _u8037), _u8040), _u8039) = c_Groups_Oone__class_Oone(_u8037)) )).
% 43.38/43.63 cnf(matrix-3888, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8041) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8042), _u8043)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8042, _u8041), _u8044), _u8043) = c_Groups_Oone__class_Oone(_u8041)) )).
% 43.38/43.63 cnf(matrix-3889, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8047), _u8048)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8047, tc_Nat_Onat), _u8049), _u8048) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(_u8047), _u8045), _u8048)) | ( hAPP(_u8049, _u8045) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-3890, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8047), _u8048)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8047, tc_Nat_Onat), _u8049), _u8048) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u8047), skolem219(_u8049, _u8048, _u8047)), _u8048)) )).
% 43.38/43.63 cnf(matrix-3891, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8047), _u8048)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8047, tc_Nat_Onat), _u8049), _u8048) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) | ( hAPP(_u8049, skolem219(_u8049, _u8048, _u8047)) != c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-3892, plain, ( ~class_Groups_Oordered__ab__group__add(_u8050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), c_Groups_Ozero__class_Ozero(_u8050)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8050), _u8051))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), _u8051), c_Groups_Ozero__class_Ozero(_u8050))) )).
% 43.38/43.63 cnf(matrix-3893, plain, ( ~class_Groups_Oordered__ab__group__add(_u8050) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), _u8051), c_Groups_Ozero__class_Ozero(_u8050))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8050), c_Groups_Ozero__class_Ozero(_u8050)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8050), _u8051))) )).
% 43.38/43.63 cnf(matrix-3894, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8052), _u8053), hAPP(c_Groups_Ouminus__class_Ouminus(_u8052), _u8053))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8052), _u8053), c_Groups_Ozero__class_Ozero(_u8052))) )).
% 43.38/43.63 cnf(matrix-3895, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8052) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8052), _u8053), c_Groups_Ozero__class_Ozero(_u8052))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8052), _u8053), hAPP(c_Groups_Ouminus__class_Ouminus(_u8052), _u8053))) )).
% 43.38/43.63 cnf(matrix-3896, plain, ( ~class_Groups_Oordered__ab__group__add(_u8054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8054), hAPP(c_Groups_Ouminus__class_Ouminus(_u8054), _u8055)), c_Groups_Ozero__class_Ozero(_u8054))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8054), c_Groups_Ozero__class_Ozero(_u8054)), _u8055)) )).
% 43.38/43.63 cnf(matrix-3897, plain, ( ~class_Groups_Oordered__ab__group__add(_u8054) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8054), c_Groups_Ozero__class_Ozero(_u8054)), _u8055)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8054), hAPP(c_Groups_Ouminus__class_Ouminus(_u8054), _u8055)), c_Groups_Ozero__class_Ozero(_u8054))) )).
% 43.38/43.63 cnf(matrix-3898, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8056), hAPP(c_Groups_Ouminus__class_Ouminus(_u8056), _u8057)), _u8057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8056), c_Groups_Ozero__class_Ozero(_u8056)), _u8057)) )).
% 43.38/43.63 cnf(matrix-3899, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8056) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8056), c_Groups_Ozero__class_Ozero(_u8056)), _u8057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8056), hAPP(c_Groups_Ouminus__class_Ouminus(_u8056), _u8057)), _u8057)) )).
% 43.38/43.63 cnf(matrix-3900, plain, ( ~class_Groups_Oordered__ab__group__add(_u8058) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8058), c_Groups_Ozero__class_Ozero(_u8058)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8058), _u8059))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8058), _u8059), c_Groups_Ozero__class_Ozero(_u8058))) )).
% 43.38/43.63 cnf(matrix-3901, plain, ( ~class_Groups_Oordered__ab__group__add(_u8058) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8058), _u8059), c_Groups_Ozero__class_Ozero(_u8058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8058), c_Groups_Ozero__class_Ozero(_u8058)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8058), _u8059))) )).
% 43.38/43.63 cnf(matrix-3902, plain, ( ~class_Groups_Oordered__ab__group__add(_u8060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8060), hAPP(c_Groups_Ouminus__class_Ouminus(_u8060), _u8061)), c_Groups_Ozero__class_Ozero(_u8060))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8060), c_Groups_Ozero__class_Ozero(_u8060)), _u8061)) )).
% 43.38/43.63 cnf(matrix-3903, plain, ( ~class_Groups_Oordered__ab__group__add(_u8060) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8060), c_Groups_Ozero__class_Ozero(_u8060)), _u8061)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8060), hAPP(c_Groups_Ouminus__class_Ouminus(_u8060), _u8061)), c_Groups_Ozero__class_Ozero(_u8060))) )).
% 43.38/43.63 cnf(matrix-3904, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8062) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8062), hAPP(c_Groups_Ouminus__class_Ouminus(_u8062), _u8063)), _u8063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8062), c_Groups_Ozero__class_Ozero(_u8062)), _u8063)) )).
% 43.38/43.63 cnf(matrix-3905, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8062) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8062), c_Groups_Ozero__class_Ozero(_u8062)), _u8063)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8062), hAPP(c_Groups_Ouminus__class_Ouminus(_u8062), _u8063)), _u8063)) )).
% 43.38/43.63 cnf(matrix-3906, plain, ( ~class_Rings_Olinordered__idom(_u8064) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8064), _u8065), hAPP(c_Groups_Ouminus__class_Ouminus(_u8064), _u8065))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8064), _u8065), c_Groups_Ozero__class_Ozero(_u8064))) )).
% 43.38/43.63 cnf(matrix-3907, plain, ( ~class_Rings_Olinordered__idom(_u8064) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8064), _u8065), c_Groups_Ozero__class_Ozero(_u8064))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8064), _u8065), hAPP(c_Groups_Ouminus__class_Ouminus(_u8064), _u8065))) )).
% 43.38/43.63 cnf(matrix-3908, plain, ( ~class_Groups_Ogroup__add(_u8066) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8066), _u8067), hAPP(c_Groups_Ouminus__class_Ouminus(_u8066), _u8067)) = c_Groups_Ozero__class_Ozero(_u8066)) )).
% 43.38/43.63 cnf(matrix-3909, plain, ( ~class_Groups_Ogroup__add(_u8068) | ( _u8069 != hAPP(c_Groups_Ouminus__class_Ouminus(_u8068), _u8070)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8068), _u8069), _u8070) = c_Groups_Ozero__class_Ozero(_u8068)) )).
% 43.38/43.63 cnf(matrix-3910, plain, ( ~class_Groups_Ogroup__add(_u8068) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8068), _u8069), _u8070) != c_Groups_Ozero__class_Ozero(_u8068)) | ( _u8069 = hAPP(c_Groups_Ouminus__class_Ouminus(_u8068), _u8070)) )).
% 43.38/43.63 cnf(matrix-3911, plain, ( ~class_Groups_Ogroup__add(_u8071) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8071), hAPP(c_Groups_Ouminus__class_Ouminus(_u8071), _u8072)), _u8072) = c_Groups_Ozero__class_Ozero(_u8071)) )).
% 43.38/43.63 cnf(matrix-3912, plain, ( ~class_Groups_Oab__group__add(_u8073) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8073), hAPP(c_Groups_Ouminus__class_Ouminus(_u8073), _u8074)), _u8074) = c_Groups_Ozero__class_Ozero(_u8073)) )).
% 43.38/43.63 cnf(matrix-3913, plain, ( ~class_Groups_Ogroup__add(_u8075) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8075), _u8076), _u8077) != c_Groups_Ozero__class_Ozero(_u8075)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8075), _u8076) = _u8077) )).
% 43.38/43.63 cnf(matrix-3914, plain, ( ~class_Groups_Ogroup__add(_u8078) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8078), c_Groups_Ozero__class_Ozero(_u8078)), _u8079) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8078), _u8079)) )).
% 43.38/43.63 cnf(matrix-3915, plain, ( ~class_Groups_Ogroup__add(_u8080) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8080), _u8081), hAPP(c_Groups_Ouminus__class_Ouminus(_u8080), _u8082)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8080), _u8081), _u8082)) )).
% 43.38/43.63 cnf(matrix-3916, plain, ( ~class_Groups_Oab__group__add(_u8083) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8083), _u8084), _u8085) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8083), _u8084), hAPP(c_Groups_Ouminus__class_Ouminus(_u8083), _u8085))) )).
% 43.38/43.63 cnf(matrix-3917, plain, ( ~class_Groups_Ogroup__add(_u8086) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8086), _u8087), _u8088) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8086), _u8087), hAPP(c_Groups_Ouminus__class_Ouminus(_u8086), _u8088))) )).
% 43.38/43.63 cnf(matrix-3918, plain, ( ~class_Rings_Ocomm__ring__1(_u8089) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8089), _u8090), _u8091) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8089), _u8090), hAPP(c_Groups_Ouminus__class_Ouminus(_u8089), _u8091))) )).
% 43.38/43.63 cnf(matrix-3919, plain, ( ~class_Rings_Ocomm__ring__1(_u8092) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8092), _u8093) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8092), hAPP(c_Groups_Ouminus__class_Ouminus(_u8092), c_Groups_Oone__class_Oone(_u8092))), _u8093)) )).
% 43.38/43.63 cnf(matrix-3920, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u8094) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), _u8095), _u8095) != c_Groups_Oone__class_Oone(_u8094)) | ( _u8095 = c_Groups_Oone__class_Oone(_u8094)) | ( _u8095 = hAPP(c_Groups_Ouminus__class_Ouminus(_u8094), c_Groups_Oone__class_Oone(_u8094))) )).
% 43.38/43.63 cnf(matrix-3921, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u8094) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), _u8095), _u8095) = c_Groups_Oone__class_Oone(_u8094)) | ( _u8095 != c_Groups_Oone__class_Oone(_u8094)) )).
% 43.38/43.63 cnf(matrix-3922, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u8094) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8094), _u8095), _u8095) = c_Groups_Oone__class_Oone(_u8094)) | ( _u8095 != hAPP(c_Groups_Ouminus__class_Ouminus(_u8094), c_Groups_Oone__class_Oone(_u8094))) )).
% 43.38/43.63 cnf(matrix-3923, plain, ( ~class_Lattices_Oboolean__algebra(_u8096) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8096), hAPP(c_Groups_Ouminus__class_Ouminus(_u8096), _u8097)), _u8097) = c_Orderings_Obot__class_Obot(_u8096)) )).
% 43.38/43.63 cnf(matrix-3924, plain, ( ~class_Lattices_Oboolean__algebra(_u8098) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8098), _u8099), hAPP(c_Groups_Ouminus__class_Ouminus(_u8098), _u8099)) = c_Orderings_Obot__class_Obot(_u8098)) )).
% 43.38/43.63 cnf(matrix-3925, plain, ( ~class_Lattices_Oboolean__algebra(_u8100) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8100), _u8101), _u8102) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8100), _u8101), hAPP(c_Groups_Ouminus__class_Ouminus(_u8100), _u8102))) )).
% 43.38/43.63 cnf(matrix-3926, plain, ( ~class_Lattices_Oboolean__algebra(_u8103) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8103), c_Orderings_Otop__class_Otop(_u8103)) = c_Orderings_Obot__class_Obot(_u8103)) )).
% 43.38/43.63 cnf(matrix-3927, plain, ( ~class_Lattices_Oboolean__algebra(_u8104) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8104), c_Orderings_Obot__class_Obot(_u8104)) = c_Orderings_Otop__class_Otop(_u8104)) )).
% 43.38/43.63 cnf(matrix-3928, plain, ( ~class_Lattices_Oboolean__algebra(_u8105) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8105), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8105), _u8106), _u8107)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8105), hAPP(c_Groups_Ouminus__class_Ouminus(_u8105), _u8106)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8105), _u8107))) )).
% 43.38/43.63 cnf(matrix-3929, plain, ( ~class_Lattices_Oboolean__algebra(_u8108) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8108), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8108), _u8109), _u8110)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8108), hAPP(c_Groups_Ouminus__class_Ouminus(_u8108), _u8109)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8108), _u8110))) )).
% 43.38/43.63 cnf(matrix-3930, plain, ( ~class_Lattices_Oboolean__algebra(_u8111) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8111), hAPP(c_Groups_Ouminus__class_Ouminus(_u8111), _u8112)), _u8112) = c_Orderings_Otop__class_Otop(_u8111)) )).
% 43.38/43.63 cnf(matrix-3931, plain, ( ~class_Lattices_Oboolean__algebra(_u8113) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8113), _u8114), hAPP(c_Groups_Ouminus__class_Ouminus(_u8113), _u8114)) = c_Orderings_Otop__class_Otop(_u8113)) )).
% 43.38/43.63 cnf(matrix-3932, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8115) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8115), hAPP(c_Groups_Ouminus__class_Ouminus(_u8115), _u8116)), hAPP(c_Groups_Oabs__class_Oabs(_u8115), _u8116))) )).
% 43.38/43.63 cnf(matrix-3933, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8118)), _u8119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), _u8118), _u8119)) )).
% 43.38/43.63 cnf(matrix-3934, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8118)), _u8119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Ouminus__class_Ouminus(_u8117), _u8118)), _u8119)) )).
% 43.38/43.63 cnf(matrix-3935, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8117) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), _u8118), _u8119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Ouminus__class_Ouminus(_u8117), _u8118)), _u8119)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8117), hAPP(c_Groups_Oabs__class_Oabs(_u8117), _u8118)), _u8119)) )).
% 43.38/43.63 cnf(matrix-3936, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8120) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8120), _u8121), _u8122)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8120), hAPP(c_Groups_Ouminus__class_Ouminus(_u8120), _u8121)), _u8122)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8120), hAPP(c_Groups_Oabs__class_Oabs(_u8120), _u8121)), _u8122)) )).
% 43.38/43.63 cnf(matrix-3937, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8123), hAPP(c_Groups_Oabs__class_Oabs(_u8123), _u8124)), _u8125)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8123), hAPP(c_Groups_Ouminus__class_Ouminus(_u8123), _u8124)), _u8125)) )).
% 43.38/43.63 cnf(matrix-3938, plain, ( ~class_Rings_Olinordered__idom(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Oabs__class_Oabs(_u8126), _u8127)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), _u8127), _u8128)) )).
% 43.38/43.63 cnf(matrix-3939, plain, ( ~class_Rings_Olinordered__idom(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Oabs__class_Oabs(_u8126), _u8127)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Ouminus__class_Ouminus(_u8126), _u8127)), _u8128)) )).
% 43.38/43.63 cnf(matrix-3940, plain, ( ~class_Rings_Olinordered__idom(_u8126) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), _u8127), _u8128)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Ouminus__class_Ouminus(_u8126), _u8127)), _u8128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8126), hAPP(c_Groups_Oabs__class_Oabs(_u8126), _u8127)), _u8128)) )).
% 43.38/43.63 cnf(matrix-3941, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8131, tc_HOL_Obool)), _u8133), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8131, tc_HOL_Obool)), _u8133))) | ( _u8133 = c_Orderings_Obot__class_Obot(tc_fun(_u8131, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3942, plain, ( ( _u8134 != c_Orderings_Obot__class_Obot(tc_fun(_u8132, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8132, tc_HOL_Obool)), _u8134), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8132, tc_HOL_Obool)), _u8134))) )).
% 43.38/43.63 cnf(matrix-3943, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8135, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8135, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u8135, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3944, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8136, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u8136, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u8136, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3945, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), _u8138)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8137, tc_HOL_Obool)), _u8138))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), c_Orderings_Otop__class_Otop(tc_fun(_u8137, tc_HOL_Obool)))) )).
% 43.38/43.63 cnf(matrix-3946, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), _u8138)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), c_Orderings_Otop__class_Otop(tc_fun(_u8137, tc_HOL_Obool)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8137), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8137, tc_HOL_Obool)), _u8138))) )).
% 43.38/43.63 cnf(matrix-3947, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8139, tc_HOL_Obool)), _u8140), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8139, tc_HOL_Obool)), _u8140)) = c_Orderings_Obot__class_Obot(tc_fun(_u8139, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3948, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8141, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8141, tc_HOL_Obool)), _u8142)), _u8142) = c_Orderings_Obot__class_Obot(tc_fun(_u8141, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3949, plain, ( ~class_Groups_Ocomm__monoid__add(_u8143) | ~class_Groups_Ocomm__monoid__mult(_u8143) | ~c_Nat__Transfer_Onat__set(_u8144) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u8143), _u8145), _u8144) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Nat_Onat, _u8143), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u8143, tc_Nat_Onat), _u8145), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint))), hAPP(c_Set_Oimage(tc_Int_Oint, tc_Nat_Onat, c_Int_Onat), _u8144))) )).
% 43.38/43.63 cnf(matrix-3950, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8146, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8146, tc_HOL_Obool)), _u8147)), _u8147) = c_Orderings_Otop__class_Otop(tc_fun(_u8146, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3951, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8148, tc_HOL_Obool)), _u8149), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8148, tc_HOL_Obool)), _u8149)) = c_Orderings_Otop__class_Otop(tc_fun(_u8148, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3952, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8150, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8150, tc_HOL_Obool)), _u8151), _u8152)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8150, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8150, tc_HOL_Obool)), _u8151)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8150, tc_HOL_Obool)), _u8152))) )).
% 43.38/43.63 cnf(matrix-3953, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8153, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8153, tc_HOL_Obool)), _u8154), _u8155)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8153, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8153, tc_HOL_Obool)), _u8154)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8153, tc_HOL_Obool)), _u8155))) )).
% 43.38/43.63 cnf(matrix-3954, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8156) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8156), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8156), _u8157), _u8158)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8156), hAPP(c_Groups_Ouminus__class_Ouminus(_u8156), _u8157)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8156), _u8158))) )).
% 43.38/43.63 cnf(matrix-3955, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8159) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8159), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u8159), _u8160), _u8161)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u8159), hAPP(c_Groups_Ouminus__class_Ouminus(_u8159), _u8160)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8159), _u8161))) )).
% 43.38/43.63 cnf(matrix-3956, plain, ( ~class_Groups_Oordered__ab__group__add(_u8162) | ( hAPP(c_Set_Oimage(_u8162, _u8162, c_Groups_Ouminus__class_Ouminus(_u8162)), c_SetInterval_Oord__class_OatLeastAtMost(_u8162, _u8163, _u8164)) = c_SetInterval_Oord__class_OatLeastAtMost(_u8162, hAPP(c_Groups_Ouminus__class_Ouminus(_u8162), _u8164), hAPP(c_Groups_Ouminus__class_Ouminus(_u8162), _u8163))) )).
% 43.38/43.63 cnf(matrix-3957, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8165, tc_HOL_Obool)), _u8166) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8165, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u8165, tc_HOL_Obool))), _u8166)) )).
% 43.38/43.63 cnf(matrix-3958, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8167, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8167, tc_HOL_Obool)), _u8168), _u8169)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8167, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8167, tc_HOL_Obool)), _u8168)), _u8169)) )).
% 43.38/43.63 cnf(matrix-3959, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8170, tc_HOL_Obool)), _u8171), _u8172) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8170, tc_HOL_Obool)), _u8171), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8170, tc_HOL_Obool)), _u8172))) )).
% 43.38/43.63 cnf(matrix-3960, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8173, tc_HOL_Obool)), _u8174), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8173, tc_HOL_Obool)), _u8175)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8173, tc_HOL_Obool)), _u8174), _u8175)) )).
% 43.38/43.63 cnf(matrix-3961, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8176) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8177), _u8178)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8177, _u8176), hAPP(hAPP(c_COMBS(_u8177, _u8176, _u8176), hAPP(hAPP(c_COMBB(_u8176, tc_fun(_u8176, _u8176), _u8177), c_Groups_Otimes__class_Otimes(_u8176)), _u8179)), _u8180)), _u8178) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8176), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8177, _u8176), _u8179), _u8178)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8177, _u8176), _u8180), _u8178))) )).
% 43.38/43.63 cnf(matrix-3962, plain, ( ~class_Rings_Oring__1(_u8181) | ~hBOOL(hAPP(hAPP(c_member(_u8181), _u8182), c_Int_Oring__1__class_OInts(_u8181))) | hBOOL(hAPP(hAPP(c_member(_u8181), hAPP(c_Groups_Ouminus__class_Ouminus(_u8181), _u8182)), c_Int_Oring__1__class_OInts(_u8181))) )).
% 43.38/43.63 cnf(matrix-3963, plain, ( ~class_Groups_Oordered__ab__group__add(_u8183) | ( hAPP(c_Set_Oimage(_u8183, _u8183, c_Groups_Ouminus__class_Ouminus(_u8183)), c_SetInterval_Oord__class_OgreaterThanLessThan(_u8183, _u8184, _u8185)) = c_SetInterval_Oord__class_OgreaterThanLessThan(_u8183, hAPP(c_Groups_Ouminus__class_Ouminus(_u8183), _u8185), hAPP(c_Groups_Ouminus__class_Ouminus(_u8183), _u8184))) )).
% 43.38/43.63 cnf(matrix-3964, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8186, tc_HOL_Obool)), _u8187) = hAPP(c_Set_OCollect(_u8186), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u8186), c_fNot), hAPP(hAPP(c_COMBC(_u8186, tc_fun(_u8186, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8186)), _u8187)))) )).
% 43.38/43.63 cnf(matrix-3965, plain, ( ~class_Orderings_Olinorder(_u8188) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8188, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8188), _u8189)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8188), _u8189)) )).
% 43.38/43.63 cnf(matrix-3966, plain, ( ~class_Orderings_Olinorder(_u8190) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8190, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8190), _u8191)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8190), _u8191)) )).
% 43.38/43.63 cnf(matrix-3967, plain, ( ( hAPP(c_Set_OCollect(_u8192), hAPP(hAPP(c_COMBS(_u8192, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u8192), c_fimplies), _u8193)), _u8194)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8192, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8192, tc_HOL_Obool)), hAPP(c_Set_OCollect(_u8192), _u8193))), hAPP(c_Set_OCollect(_u8192), _u8194))) )).
% 43.38/43.63 cnf(matrix-3968, plain, ( ~class_Orderings_Olinorder(_u8195) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8195, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OatMost(_u8195), _u8196)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8195), _u8196)) )).
% 43.38/43.63 cnf(matrix-3969, plain, ( ~class_Orderings_Olinorder(_u8197) | ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8197, tc_HOL_Obool)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8197), _u8198)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8197), _u8198)) )).
% 43.38/43.63 cnf(matrix-3970, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8201), _u8202)) | ~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(_u8201, tc_Nat_Onat), _u8203), _u8202))) | ~hBOOL(hAPP(hAPP(c_member(_u8201), _u8199), _u8202)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8203, _u8199))) )).
% 43.38/43.63 cnf(matrix-3971, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8201), _u8202)) | 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(_u8201, tc_Nat_Onat), _u8203), _u8202))) | hBOOL(hAPP(hAPP(c_member(_u8201), skolem220(_u8203, _u8202, _u8201)), _u8202)) )).
% 43.38/43.63 cnf(matrix-3972, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8201), _u8202)) | 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(_u8201, tc_Nat_Onat), _u8203), _u8202))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u8203, skolem220(_u8203, _u8202, _u8201)))) )).
% 43.38/43.63 cnf(matrix-3973, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8204) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8204), hAPP(c_Groups_Ouminus__class_Ouminus(_u8204), hAPP(c_Groups_Oabs__class_Oabs(_u8204), _u8205))), c_Groups_Ozero__class_Ozero(_u8204))) )).
% 43.38/43.63 cnf(matrix-3974, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8206) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8206), _u8207), c_Groups_Ozero__class_Ozero(_u8206))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8206), _u8207) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8206), _u8207)) )).
% 43.38/43.63 cnf(matrix-3975, plain, ( ~class_Groups_Oabs__if(_u8208) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), _u8209), c_Groups_Ozero__class_Ozero(_u8208))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8208), _u8209) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8208), _u8209)) )).
% 43.38/43.63 cnf(matrix-3976, plain, ( ~class_Groups_Oabs__if(_u8208) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8208), _u8209), c_Groups_Ozero__class_Ozero(_u8208))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8208), _u8209) = _u8209) )).
% 43.38/43.63 cnf(matrix-3977, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u8210) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8210), _u8211), c_Groups_Ozero__class_Ozero(_u8210))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8210), _u8211) = hAPP(c_Groups_Ouminus__class_Ouminus(_u8210), _u8211)) )).
% 43.38/43.63 cnf(matrix-3978, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8212) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8213), _u8214)) | ~hBOOL(hAPP(hAPP(c_member(_u8213), _u8215), _u8214)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8213, _u8212), hAPP(hAPP(c_COMBC(_u8213, _u8212, _u8212), hAPP(hAPP(c_COMBS(_u8213, _u8212, tc_fun(_u8212, _u8212)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8212, tc_fun(_u8212, _u8212)), _u8213), c_If(_u8212)), hAPP(hAPP(c_COMBC(_u8213, _u8213, tc_HOL_Obool), c_fequal), _u8215))), _u8216)), c_Groups_Oone__class_Oone(_u8212))), _u8214) = hAPP(_u8216, _u8215)) )).
% 43.38/43.63 cnf(matrix-3979, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8212) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8213), _u8214)) | hBOOL(hAPP(hAPP(c_member(_u8213), _u8215), _u8214)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8213, _u8212), hAPP(hAPP(c_COMBC(_u8213, _u8212, _u8212), hAPP(hAPP(c_COMBS(_u8213, _u8212, tc_fun(_u8212, _u8212)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8212, tc_fun(_u8212, _u8212)), _u8213), c_If(_u8212)), hAPP(hAPP(c_COMBC(_u8213, _u8213, tc_HOL_Obool), c_fequal), _u8215))), _u8216)), c_Groups_Oone__class_Oone(_u8212))), _u8214) = c_Groups_Oone__class_Oone(_u8212)) )).
% 43.38/43.63 cnf(matrix-3980, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8217) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8218), _u8219)) | ~hBOOL(hAPP(hAPP(c_member(_u8218), _u8220), _u8219)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8218, _u8217), hAPP(hAPP(c_COMBC(_u8218, _u8217, _u8217), hAPP(hAPP(c_COMBS(_u8218, _u8217, tc_fun(_u8217, _u8217)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8217, tc_fun(_u8217, _u8217)), _u8218), c_If(_u8217)), hAPP(c_fequal, _u8220))), _u8221)), c_Groups_Oone__class_Oone(_u8217))), _u8219) = hAPP(_u8221, _u8220)) )).
% 43.38/43.63 cnf(matrix-3981, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8217) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8218), _u8219)) | hBOOL(hAPP(hAPP(c_member(_u8218), _u8220), _u8219)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8218, _u8217), hAPP(hAPP(c_COMBC(_u8218, _u8217, _u8217), hAPP(hAPP(c_COMBS(_u8218, _u8217, tc_fun(_u8217, _u8217)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8217, tc_fun(_u8217, _u8217)), _u8218), c_If(_u8217)), hAPP(c_fequal, _u8220))), _u8221)), c_Groups_Oone__class_Oone(_u8217))), _u8219) = c_Groups_Oone__class_Oone(_u8217)) )).
% 43.38/43.63 cnf(matrix-3982, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8225, tc_HOL_Obool)), _u8227), _u8229) != c_Orderings_Obot__class_Obot(tc_fun(_u8225, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8225, tc_HOL_Obool)), _u8227), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8225, tc_HOL_Obool)), _u8229))) )).
% 43.38/43.63 cnf(matrix-3983, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8226, tc_HOL_Obool)), _u8228), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8226, tc_HOL_Obool)), _u8230))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8226, tc_HOL_Obool)), _u8228), _u8230) = c_Orderings_Obot__class_Obot(tc_fun(_u8226, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-3984, plain, ( ( hAPP(c_Set_Oimage(_u8231, _u8232, _u8233), c_Orderings_Otop__class_Otop(tc_fun(_u8231, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u8232, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8232, tc_HOL_Obool)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8232, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8231, _u8232, _u8233), _u8234))), hAPP(c_Set_Oimage(_u8231, _u8232, _u8233), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8231, tc_HOL_Obool)), _u8234)))) )).
% 43.38/43.63 cnf(matrix-3985, plain, ( ~class_Groups_Oordered__ab__group__add(_u8235) | ( hAPP(c_Set_Oimage(_u8235, _u8235, c_Groups_Ouminus__class_Ouminus(_u8235)), c_SetInterval_Oord__class_OgreaterThanAtMost(_u8235, _u8236, _u8237)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8235, hAPP(c_Groups_Ouminus__class_Ouminus(_u8235), _u8237)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8235), _u8236))) )).
% 43.38/43.63 cnf(matrix-3986, plain, ( ~class_Groups_Oordered__ab__group__add(_u8238) | ( hAPP(c_Set_Oimage(_u8238, _u8238, c_Groups_Ouminus__class_Ouminus(_u8238)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u8238, _u8239), _u8240)) = c_SetInterval_Oord__class_OgreaterThanAtMost(_u8238, hAPP(c_Groups_Ouminus__class_Ouminus(_u8238), _u8240), hAPP(c_Groups_Ouminus__class_Ouminus(_u8238), _u8239))) )).
% 43.38/43.63 cnf(matrix-3987, plain, ( ~class_Groups_Oordered__ab__group__add(_u8241) | ( hAPP(c_Set_Oimage(_u8241, _u8241, c_Groups_Ouminus__class_Ouminus(_u8241)), hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8241), _u8242)) = hAPP(c_SetInterval_Oord__class_OlessThan(_u8241), hAPP(c_Groups_Ouminus__class_Ouminus(_u8241), _u8242))) )).
% 43.38/43.63 cnf(matrix-3988, plain, ( ~class_Groups_Oordered__ab__group__add(_u8243) | ( hAPP(c_Set_Oimage(_u8243, _u8243, c_Groups_Ouminus__class_Ouminus(_u8243)), hAPP(c_SetInterval_Oord__class_OlessThan(_u8243), _u8244)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(_u8243), hAPP(c_Groups_Ouminus__class_Ouminus(_u8243), _u8244))) )).
% 43.38/43.63 cnf(matrix-3989, plain, ( ~class_Groups_Oordered__ab__group__add(_u8245) | ( hAPP(c_Set_Oimage(_u8245, _u8245, c_Groups_Ouminus__class_Ouminus(_u8245)), hAPP(c_SetInterval_Oord__class_OatMost(_u8245), _u8246)) = hAPP(c_SetInterval_Oord__class_OatLeast(_u8245), hAPP(c_Groups_Ouminus__class_Ouminus(_u8245), _u8246))) )).
% 43.38/43.63 cnf(matrix-3990, plain, ( ~class_Groups_Oordered__ab__group__add(_u8247) | ( hAPP(c_Set_Oimage(_u8247, _u8247, c_Groups_Ouminus__class_Ouminus(_u8247)), hAPP(c_SetInterval_Oord__class_OatLeast(_u8247), _u8248)) = hAPP(c_SetInterval_Oord__class_OatMost(_u8247), hAPP(c_Groups_Ouminus__class_Ouminus(_u8247), _u8248))) )).
% 43.38/43.63 cnf(matrix-3991, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8249) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8250), _u8251)) | hBOOL(hAPP(hAPP(c_member(_u8250), _u8252), _u8251)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8250, _u8249), _u8253), hAPP(hAPP(c_Set_Oinsert(_u8250), _u8252), _u8251)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8249), hAPP(_u8253, _u8252)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8250, _u8249), _u8253), _u8251))) )).
% 43.38/43.63 cnf(matrix-3992, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8254) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8255), _u8256)) | hBOOL(hAPP(hAPP(c_member(_u8255), _u8257), _u8256)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8255, _u8254), _u8258), hAPP(hAPP(c_Set_Oinsert(_u8255), _u8257), _u8256)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8254), hAPP(_u8258, _u8257)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8255, _u8254), _u8258), _u8256))) )).
% 43.38/43.63 cnf(matrix-3993, plain, ( ( hAPP(c_Set_OPow(_u8259), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8259, tc_HOL_Obool)), _u8260)) = hAPP(c_Set_OCollect(tc_fun(_u8259, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8259, tc_HOL_Obool)), c_HOL_OEx(tc_fun(_u8259, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(tc_fun(_u8259, tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8259, tc_HOL_Obool)), c_COMBS(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u8259, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u8259, tc_HOL_Obool)), c_fconj)), hAPP(hAPP(c_COMBC(tc_fun(_u8259, tc_HOL_Obool), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_fun(_u8259, tc_HOL_Obool)), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_fun(_u8259, tc_HOL_Obool)), tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u8259, tc_HOL_Obool)), c_COMBB(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8259, tc_HOL_Obool))), c_fequal)), c_Groups_Ouminus__class_Ouminus(tc_fun(_u8259, tc_HOL_Obool)))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u8259, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u8259, tc_HOL_Obool)), hAPP(c_member(tc_fun(_u8259, tc_HOL_Obool)), _u8260)), c_Set_OPow(_u8259)))))) )).
% 43.38/43.63 cnf(matrix-3994, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8261) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8262), _u8263)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8262), _u8264)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8261), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8262, _u8261), _u8265), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8262, tc_HOL_Obool)), _u8263), _u8264))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8262, _u8261), _u8265), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8262, tc_HOL_Obool)), _u8263), _u8264))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8261), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8262, _u8261), _u8265), _u8263)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8262, _u8261), _u8265), _u8264))) )).
% 43.38/43.63 cnf(matrix-3995, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8266) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8267), _u8268)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8267), _u8269)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8266), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8267, _u8266), _u8270), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8267, tc_HOL_Obool)), _u8268), _u8269))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8267, _u8266), _u8270), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8267, tc_HOL_Obool)), _u8268), _u8269))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8266), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8267, _u8266), _u8270), _u8268)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8267, _u8266), _u8270), _u8269))) )).
% 43.38/43.63 cnf(matrix-3996, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8271) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8272), _u8273)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8272, _u8271), _u8274), _u8273) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8271, _u8272, c_Groups_Otimes__class_Otimes(_u8271)), _u8274), c_Groups_Oone__class_Oone(_u8271)), _u8273)) )).
% 43.38/43.63 cnf(matrix-3997, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8271) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u8272), _u8273)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8272, _u8271), _u8274), _u8273) = c_Groups_Oone__class_Oone(_u8271)) )).
% 43.38/43.63 cnf(matrix-3998, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8275) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8276), _u8277)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8276, _u8275), _u8278), _u8277) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u8275, _u8276, c_Groups_Otimes__class_Otimes(_u8275)), _u8278), c_Groups_Oone__class_Oone(_u8275)), _u8277)) )).
% 43.38/43.63 cnf(matrix-3999, plain, ( ~class_Lattices_Oboolean__algebra(_u8279) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u8279), _u8280), _u8281) != c_Orderings_Obot__class_Obot(_u8279)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u8279), _u8280), _u8281) != c_Orderings_Otop__class_Otop(_u8279)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8279), _u8280) = _u8281) )).
% 43.38/43.63 cnf(matrix-4000, plain, ( ~c_Fun_Oinj__on(_u8282, _u8283, _u8284, c_Orderings_Otop__class_Otop(tc_fun(_u8282, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8283, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8282, _u8283, _u8284), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8282, tc_HOL_Obool)), _u8285))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8283, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u8282, _u8283, _u8284), _u8285)))) )).
% 43.38/43.63 cnf(matrix-4001, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8292), _u8294), _u8296)) | ~hBOOL(hAPP(hAPP(c_member(_u8292), _u8298), _u8296)) | ( hAPP(c_Set_Ovimage(_u8300, _u8292, hAPP(hAPP(c_COMBC(_u8300, _u8292, _u8292), hAPP(hAPP(c_COMBC(_u8300, _u8292, tc_fun(_u8292, _u8292)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8292, tc_fun(_u8292, _u8292)), _u8300), c_If(_u8292)), hAPP(hAPP(c_COMBC(_u8300, tc_fun(_u8300, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8300)), _u8302))), _u8294)), _u8298)), _u8296) = c_Orderings_Otop__class_Otop(tc_fun(_u8300, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-4002, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u8292), _u8294), _u8296)) | hBOOL(hAPP(hAPP(c_member(_u8292), _u8298), _u8296)) | ( hAPP(c_Set_Ovimage(_u8300, _u8292, hAPP(hAPP(c_COMBC(_u8300, _u8292, _u8292), hAPP(hAPP(c_COMBC(_u8300, _u8292, tc_fun(_u8292, _u8292)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8292, tc_fun(_u8292, _u8292)), _u8300), c_If(_u8292)), hAPP(hAPP(c_COMBC(_u8300, tc_fun(_u8300, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8300)), _u8302))), _u8294)), _u8298)), _u8296) = _u8302) )).
% 43.38/43.63 cnf(matrix-4003, plain, ( hBOOL(hAPP(hAPP(c_member(_u8293), _u8295), _u8297)) | ~hBOOL(hAPP(hAPP(c_member(_u8293), _u8299), _u8297)) | ( hAPP(c_Set_Ovimage(_u8301, _u8293, hAPP(hAPP(c_COMBC(_u8301, _u8293, _u8293), hAPP(hAPP(c_COMBC(_u8301, _u8293, tc_fun(_u8293, _u8293)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8293, tc_fun(_u8293, _u8293)), _u8301), c_If(_u8293)), hAPP(hAPP(c_COMBC(_u8301, tc_fun(_u8301, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8301)), _u8303))), _u8295)), _u8299)), _u8297) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u8301, tc_HOL_Obool)), _u8303)) )).
% 43.38/43.63 cnf(matrix-4004, plain, ( hBOOL(hAPP(hAPP(c_member(_u8293), _u8295), _u8297)) | hBOOL(hAPP(hAPP(c_member(_u8293), _u8299), _u8297)) | ( hAPP(c_Set_Ovimage(_u8301, _u8293, hAPP(hAPP(c_COMBC(_u8301, _u8293, _u8293), hAPP(hAPP(c_COMBC(_u8301, _u8293, tc_fun(_u8293, _u8293)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8293, tc_fun(_u8293, _u8293)), _u8301), c_If(_u8293)), hAPP(hAPP(c_COMBC(_u8301, tc_fun(_u8301, tc_HOL_Obool), tc_HOL_Obool), c_member(_u8301)), _u8303))), _u8295)), _u8299)), _u8297) = c_Orderings_Obot__class_Obot(tc_fun(_u8301, tc_HOL_Obool))) )).
% 43.38/43.63 cnf(matrix-4005, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8304) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8305), _u8306)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8305, _u8304), _u8307), hAPP(hAPP(c_Set_Oinsert(_u8305), _u8308), _u8306)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8304), hAPP(_u8307, _u8308)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8305, _u8304), _u8307), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8305, tc_HOL_Obool)), _u8306), hAPP(hAPP(c_Set_Oinsert(_u8305), _u8308), c_Orderings_Obot__class_Obot(tc_fun(_u8305, tc_HOL_Obool))))))) )).
% 43.38/43.63 cnf(matrix-4006, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8309) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8310), _u8311)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8310), _u8312)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8310, tc_HOL_Obool)), _u8311), _u8312) != c_Orderings_Obot__class_Obot(tc_fun(_u8310, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8310, _u8309), _u8313), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8310, tc_HOL_Obool)), _u8311), _u8312)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8309), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8310, _u8309), _u8313), _u8311)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8310, _u8309), _u8313), _u8312))) )).
% 43.38/43.63 cnf(matrix-4007, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8314) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8315), _u8316)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8315), _u8317)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8315, tc_HOL_Obool)), _u8316), _u8317) != c_Orderings_Obot__class_Obot(tc_fun(_u8315, tc_HOL_Obool))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8315, _u8314), _u8318), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8315, tc_HOL_Obool)), _u8316), _u8317)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8314), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8315, _u8314), _u8318), _u8316)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8315, _u8314), _u8318), _u8317))) )).
% 43.38/43.63 cnf(matrix-4008, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8319) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8319), _u8320)) | ( _u8320 = c_Orderings_Obot__class_Obot(tc_fun(_u8319, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8319), c_Big__Operators_Olinorder__class_OMin(_u8319, _u8320)) = c_Big__Operators_Olinorder__class_OMax(_u8319, hAPP(c_Set_Oimage(_u8319, _u8319, c_Groups_Ouminus__class_Ouminus(_u8319)), _u8320))) )).
% 43.38/43.63 cnf(matrix-4009, plain, ( ~class_Groups_Olinordered__ab__group__add(_u8321) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8321), _u8322)) | ( _u8322 = c_Orderings_Obot__class_Obot(tc_fun(_u8321, tc_HOL_Obool))) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8321), c_Big__Operators_Olinorder__class_OMax(_u8321, _u8322)) = c_Big__Operators_Olinorder__class_OMin(_u8321, hAPP(c_Set_Oimage(_u8321, _u8321, c_Groups_Ouminus__class_Ouminus(_u8321)), _u8322))) )).
% 43.38/43.63 cnf(matrix-4010, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8324) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8325), _u8326)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8325), _u8327)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8325, tc_HOL_Obool)), _u8326), _u8327)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8324), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), _u8326)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), _u8327))) | hBOOL(hAPP(hAPP(c_member(_u8325), skolem221(_u8328, _u8327, _u8326, _u8325, _u8324)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8325, tc_HOL_Obool)), _u8326), _u8327))) )).
% 43.38/43.63 cnf(matrix-4011, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8324) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8325), _u8326)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8325), _u8327)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8325, tc_HOL_Obool)), _u8326), _u8327)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8324), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), _u8326)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8325, _u8324), _u8328), _u8327))) | ( hAPP(_u8328, skolem221(_u8328, _u8327, _u8326, _u8325, _u8324)) != c_Groups_Oone__class_Oone(_u8324)) )).
% 43.38/43.63 cnf(matrix-4012, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8330) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8332)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8331, tc_HOL_Obool)), _u8332), _u8333)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8330), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), _u8332)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), _u8333))) | hBOOL(hAPP(hAPP(c_member(_u8331), skolem222(_u8334, _u8333, _u8332, _u8331, _u8330)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8331, tc_HOL_Obool)), _u8332), _u8333))) )).
% 43.38/43.63 cnf(matrix-4013, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8330) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8332)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8331), _u8333)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8331, tc_HOL_Obool)), _u8332), _u8333)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8330), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), _u8332)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8331, _u8330), _u8334), _u8333))) | ( hAPP(_u8334, skolem222(_u8334, _u8333, _u8332, _u8331, _u8330)) != c_Groups_Oone__class_Oone(_u8330)) )).
% 43.38/43.63 cnf(matrix-4014, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8336), _u8337)) | ~hBOOL(hAPP(hAPP(c_member(_u8336), _u8338), _u8337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8336, _u8335), hAPP(hAPP(c_COMBC(_u8336, _u8335, _u8335), hAPP(hAPP(c_COMBS(_u8336, _u8335, tc_fun(_u8335, _u8335)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8335, tc_fun(_u8335, _u8335)), _u8336), c_If(_u8335)), hAPP(hAPP(c_COMBC(_u8336, _u8336, tc_HOL_Obool), c_fequal), _u8338))), _u8339)), _u8340)), _u8337) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8335), hAPP(_u8339, _u8338)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8335), _u8340), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u8336), _u8337)), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 43.38/43.63 cnf(matrix-4015, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8335) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8336), _u8337)) | hBOOL(hAPP(hAPP(c_member(_u8336), _u8338), _u8337)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8336, _u8335), hAPP(hAPP(c_COMBC(_u8336, _u8335, _u8335), hAPP(hAPP(c_COMBS(_u8336, _u8335, tc_fun(_u8335, _u8335)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u8335, tc_fun(_u8335, _u8335)), _u8336), c_If(_u8335)), hAPP(hAPP(c_COMBC(_u8336, _u8336, tc_HOL_Obool), c_fequal), _u8338))), _u8339)), _u8340)), _u8337) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8335), _u8340), hAPP(c_Finite__Set_Ocard(_u8336), _u8337))) )).
% 43.38/43.63 cnf(matrix-4016, plain, ( ~class_Fields_Ofield(_u8341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8342), _u8343)) | ( hAPP(_u8344, _u8345) = c_Groups_Ozero__class_Ozero(_u8341)) | ~hBOOL(hAPP(hAPP(c_member(_u8342), _u8345), _u8343)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8342, _u8341), _u8344), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8342, tc_HOL_Obool)), _u8343), hAPP(hAPP(c_Set_Oinsert(_u8342), _u8345), c_Orderings_Obot__class_Obot(tc_fun(_u8342, tc_HOL_Obool))))) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8341), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8342, _u8341), _u8344), _u8343)), hAPP(_u8344, _u8345))) )).
% 43.38/43.63 cnf(matrix-4017, plain, ( ~class_Fields_Ofield(_u8341) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8342), _u8343)) | ( hAPP(_u8344, _u8345) = c_Groups_Ozero__class_Ozero(_u8341)) | hBOOL(hAPP(hAPP(c_member(_u8342), _u8345), _u8343)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8342, _u8341), _u8344), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8342, tc_HOL_Obool)), _u8343), hAPP(hAPP(c_Set_Oinsert(_u8342), _u8345), c_Orderings_Obot__class_Obot(tc_fun(_u8342, tc_HOL_Obool))))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8342, _u8341), _u8344), _u8343)) )).
% 43.38/43.63 cnf(matrix-4018, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8348), _u8349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8348, tc_HOL_Obool)), _u8350), _u8349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8348, _u8347), _u8351), _u8349) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8348, _u8347), _u8351), _u8350)) | hBOOL(hAPP(hAPP(c_member(_u8348), skolem223(_u8351, _u8350, _u8349, _u8348, _u8347)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u8348, tc_HOL_Obool)), _u8349), _u8350))) )).
% 43.38/43.63 cnf(matrix-4019, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8347) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8348), _u8349)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u8348, tc_HOL_Obool)), _u8350), _u8349)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8348, _u8347), _u8351), _u8349) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8348, _u8347), _u8351), _u8350)) | ( hAPP(_u8351, skolem223(_u8351, _u8350, _u8349, _u8348, _u8347)) != c_Groups_Oone__class_Oone(_u8347)) )).
% 43.38/43.63 cnf(matrix-4020, 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), _u8352))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8353))) )).
% 43.38/43.63 cnf(matrix-4021, 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, _u8354)))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8355))) )).
% 43.38/43.63 cnf(matrix-4022, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8356), _u8357)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8356)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8357))) )).
% 43.38/43.63 cnf(matrix-4023, plain, ( ~class_Rings_Odivision__ring(_u8358) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8358), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8358), _u8359), _u8360)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8358), hAPP(c_Groups_Ouminus__class_Ouminus(_u8358), _u8359)), _u8360)) )).
% 43.38/43.63 cnf(matrix-4024, 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)) )).
% 43.38/43.63 cnf(matrix-4025, plain, ( ~class_Rings_Ocomm__semiring__1(_u8361) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8361), _u8362), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u8362) )).
% 43.38/43.63 cnf(matrix-4026, plain, ( ~class_Rings_Ocomm__semiring__1(_u8363) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8363), hAPP(hAPP(c_Power_Opower__class_Opower(_u8363), _u8364), _u8365)), _u8366) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8363), _u8364), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8365), _u8366))) )).
% 43.38/43.63 cnf(matrix-4027, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8367), _u8368)), _u8369) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8367), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8368), _u8369))) )).
% 43.38/43.63 cnf(matrix-4028, plain, ( ~class_Rings_Odivision__ring(_u8370) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8370), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8370), _u8371), _u8372)), _u8373) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8370), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8370), _u8371), _u8373)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8370), _u8372), _u8373))) )).
% 43.38/43.63 cnf(matrix-4029, plain, ( ~class_Rings_Ocomm__semiring__1(_u8374) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8374), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8374), _u8375), _u8376)), _u8377) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8374), hAPP(hAPP(c_Power_Opower__class_Opower(_u8374), _u8375), _u8377)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8374), _u8376), _u8377))) )).
% 43.38/43.63 cnf(matrix-4030, plain, ( ~class_Rings_Odivision__ring(_u8378) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8378), _u8379), c_Groups_Oone__class_Oone(_u8378)) = _u8379) )).
% 43.38/43.63 cnf(matrix-4031, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8380), _u8381)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8380)), _u8381)) )).
% 43.38/43.63 cnf(matrix-4032, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8382)), _u8383) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8382), _u8383))) )).
% 43.38/43.63 cnf(matrix-4033, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8384)), _u8385) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8384), _u8385))) )).
% 43.38/43.63 cnf(matrix-4034, plain, ( ~class_Rings_Odivision__ring(_u8386) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8386), _u8387), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8386), _u8388), _u8389)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8386), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8386), _u8387), _u8388)), _u8389)) )).
% 43.38/43.63 cnf(matrix-4035, plain, ( ~class_Rings_Odivision__ring(_u8390) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8390), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8390), _u8391), _u8392)), _u8393) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8390), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8390), _u8391), _u8393)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8390), _u8392), _u8393))) )).
% 43.38/43.63 cnf(matrix-4036, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u8394) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8394), _u8395), c_Groups_Ozero__class_Ozero(_u8394)) = c_Groups_Ozero__class_Ozero(_u8394)) )).
% 43.38/43.63 cnf(matrix-4037, plain, ( ~class_Rings_Odivision__ring(_u8396) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8396), c_Groups_Ozero__class_Ozero(_u8396)), _u8397) = c_Groups_Ozero__class_Ozero(_u8396)) )).
% 43.38/43.63 cnf(matrix-4038, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8398)), _u8399) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8398), _u8399))) )).
% 43.38/43.63 cnf(matrix-4039, plain, ( ~c_Nat__Transfer_Ois__nat(_u8400) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8400), _u8401)) )).
% 43.38/43.63 cnf(matrix-4040, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8402)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u8402)), _u8403) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8402), _u8403))) )).
% 43.38/43.63 cnf(matrix-4041, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8404)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8404), _u8405)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onat, _u8404)), _u8405)) )).
% 43.38/43.63 cnf(matrix-4042, plain, ( ~class_Fields_Ofield(_u8406) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8406), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8407, _u8406), _u8408), _u8409)), _u8410) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u8407, _u8406), hAPP(hAPP(c_COMBC(_u8407, _u8406, _u8406), hAPP(hAPP(c_COMBB(_u8406, tc_fun(_u8406, _u8406), _u8407), c_Rings_Oinverse__class_Odivide(_u8406)), _u8408)), _u8410)), _u8409)) )).
% 43.38/43.63 cnf(matrix-4043, plain, ( ~class_Rings_Odivision__ring(_u8411) | ( _u8412 = c_Groups_Ozero__class_Ozero(_u8411)) | ( _u8413 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8411), _u8414), _u8412)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8411), _u8413), _u8412) = _u8414) )).
% 43.38/43.63 cnf(matrix-4044, plain, ( ~class_Rings_Odivision__ring(_u8411) | ( _u8412 = c_Groups_Ozero__class_Ozero(_u8411)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8411), _u8413), _u8412) != _u8414) | ( _u8413 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8411), _u8414), _u8412)) )).
% 43.38/43.63 cnf(matrix-4045, plain, ( ~class_Rings_Odivision__ring(_u8415) | ( _u8416 = c_Groups_Ozero__class_Ozero(_u8415)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8415), _u8417), _u8416) != _u8418) | ( _u8417 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8415), _u8418), _u8416)) )).
% 43.38/43.63 cnf(matrix-4046, plain, ( ~class_Rings_Odivision__ring(_u8415) | ( _u8416 = c_Groups_Ozero__class_Ozero(_u8415)) | ( _u8417 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8415), _u8418), _u8416)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8415), _u8417), _u8416) = _u8418) )).
% 43.38/43.63 cnf(matrix-4047, plain, ( ~class_Rings_Odivision__ring(_u8419) | ( _u8420 = c_Groups_Ozero__class_Ozero(_u8419)) | ( _u8421 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8419), _u8422), _u8420)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8419), _u8421), _u8420) = _u8422) )).
% 43.38/43.63 cnf(matrix-4048, plain, ( ~class_Rings_Odivision__ring(_u8423) | ( _u8424 = c_Groups_Ozero__class_Ozero(_u8423)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8423), _u8425), _u8424) != _u8426) | ( _u8425 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8423), _u8426), _u8424)) )).
% 43.38/43.63 cnf(matrix-4049, plain, ( ~class_Rings_Odivision__ring(_u8427) | ( _u8428 = c_Groups_Ozero__class_Ozero(_u8427)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8427), _u8429), _u8428) != c_Groups_Oone__class_Oone(_u8427)) | ( _u8429 = _u8428) )).
% 43.38/43.63 cnf(matrix-4050, plain, ( ~class_Rings_Odivision__ring(_u8427) | ( _u8428 = c_Groups_Ozero__class_Ozero(_u8427)) | ( _u8429 != _u8428) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8427), _u8429), _u8428) = c_Groups_Oone__class_Oone(_u8427)) )).
% 43.38/43.63 cnf(matrix-4051, plain, ( ~class_Rings_Odivision__ring(_u8430) | ( _u8431 = c_Groups_Ozero__class_Ozero(_u8430)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8430), _u8431), _u8431) = c_Groups_Oone__class_Oone(_u8430)) )).
% 43.38/43.63 cnf(matrix-4052, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u8432) | ( _u8433 != c_Groups_Ozero__class_Ozero(_u8432)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8432), _u8433), _u8433) = c_Groups_Ozero__class_Ozero(_u8432)) )).
% 43.38/43.63 cnf(matrix-4053, plain, ( ~class_Rings_Odivision__ring__inverse__zero(_u8432) | ( _u8433 = c_Groups_Ozero__class_Ozero(_u8432)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8432), _u8433), _u8433) = c_Groups_Oone__class_Oone(_u8432)) )).
% 43.38/43.63 cnf(matrix-4054, plain, ( ~class_Rings_Odivision__ring(_u8434) | ( _u8435 = c_Groups_Ozero__class_Ozero(_u8434)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8434), hAPP(c_Groups_Ouminus__class_Ouminus(_u8434), _u8436)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8434), _u8435)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8434), _u8436), _u8435)) )).
% 43.38/43.63 cnf(matrix-4055, plain, ( ~class_Rings_Odivision__ring(_u8437) | ( _u8438 = c_Groups_Ozero__class_Ozero(_u8437)) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8437), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8437), _u8439), _u8438)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8437), _u8439), hAPP(c_Groups_Ouminus__class_Ouminus(_u8437), _u8438))) )).
% 43.38/43.63 cnf(matrix-4056, plain, ( ~class_Rings_Ocomm__semiring__1(_u8440) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8440), hAPP(hAPP(c_Power_Opower__class_Opower(_u8440), _u8441), _u8442)), _u8441) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8440), _u8441), hAPP(c_Nat_OSuc, _u8442))) )).
% 43.38/43.63 cnf(matrix-4057, plain, ( ~class_Rings_Ocomm__semiring__1(_u8443) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8443), _u8444), hAPP(hAPP(c_Power_Opower__class_Opower(_u8443), _u8444), _u8445)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8443), _u8444), hAPP(c_Nat_OSuc, _u8445))) )).
% 43.38/43.63 cnf(matrix-4058, plain, ( ~class_Rings_Ocomm__semiring__1(_u8446) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8446), _u8447), hAPP(c_Nat_OSuc, _u8448)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8446), _u8447), hAPP(hAPP(c_Power_Opower__class_Opower(_u8446), _u8447), _u8448))) )).
% 43.38/43.63 cnf(matrix-4059, plain, ( ~class_Rings_Ocomm__semiring__1(_u8449) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8449), _u8450), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8449)) )).
% 43.38/43.63 cnf(matrix-4060, plain, ( ~class_Rings_Ocomm__semiring__1(_u8451) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8451), hAPP(hAPP(c_Power_Opower__class_Opower(_u8451), _u8452), _u8453)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8451), _u8452), _u8454)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8451), _u8452), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8453), _u8454))) )).
% 43.38/43.63 cnf(matrix-4061, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8455)) | 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), _u8455), _u8456))) )).
% 43.38/43.63 cnf(matrix-4062, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8457), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8458), _u8459)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8457), _u8458)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8457), _u8459))) )).
% 43.38/43.63 cnf(matrix-4063, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8460)), _u8460) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-4064, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8463)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8465)) | ( _u8463 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4065, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8463)) != hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8465)) | ( _u8465 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4066, plain, ( ( _u8464 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8466 != 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), _u8464)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8466)) )).
% 43.38/43.63 cnf(matrix-4067, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8467)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8468)))) )).
% 43.38/43.63 cnf(matrix-4068, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8469), _u8470) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8469), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8470))) )).
% 43.38/43.63 cnf(matrix-4069, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u8471), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8472)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u8471), _u8472)) )).
% 43.38/43.63 cnf(matrix-4070, plain, ( ~class_Rings_Oring__1(_u8473) | ~hBOOL(hAPP(hAPP(c_member(_u8473), _u8474), c_Int_Oring__1__class_OInts(_u8473))) | hBOOL(hAPP(hAPP(c_member(_u8473), hAPP(hAPP(c_Power_Opower__class_Opower(_u8473), _u8474), _u8475)), c_Int_Oring__1__class_OInts(_u8473))) )).
% 43.38/43.63 cnf(matrix-4071, plain, ( ~class_Fields_Ofield__inverse__zero(_u8476) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8477), _u8478)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8477, _u8476), hAPP(hAPP(c_COMBS(_u8477, _u8476, _u8476), hAPP(hAPP(c_COMBB(_u8476, tc_fun(_u8476, _u8476), _u8477), c_Rings_Oinverse__class_Odivide(_u8476)), _u8479)), _u8480)), _u8478) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8476), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8477, _u8476), _u8479), _u8478)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8477, _u8476), _u8480), _u8478))) )).
% 43.38/43.63 cnf(matrix-4072, plain, ( ~class_Fields_Ofield(_u8481) | ( _u8482 = c_Groups_Oone__class_Oone(_u8481)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u8481), hAPP(c_Power_Opower__class_Opower(_u8481), _u8482)), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8483)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8481), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8481), hAPP(hAPP(c_Power_Opower__class_Opower(_u8481), _u8482), _u8483)), c_Groups_Oone__class_Oone(_u8481))), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8481), _u8482), c_Groups_Oone__class_Oone(_u8481)))) )).
% 43.38/43.63 cnf(matrix-4073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8486)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8488)))) | ( _u8486 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4074, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8486)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8488)))) | ( _u8488 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4075, plain, ( ( _u8487 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8489 != 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), _u8487)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u8489)))) )).
% 43.38/43.63 cnf(matrix-4076, 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), _u8490))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4077, 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), _u8491))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4078, 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), _u8492)), _u8493))) )).
% 43.38/43.63 cnf(matrix-4079, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8495), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8495) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8495)) )).
% 43.38/43.63 cnf(matrix-4080, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8496), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u8496) = _u8496) )).
% 43.38/43.63 cnf(matrix-4081, 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, _u8497))))) )).
% 43.38/43.63 cnf(matrix-4082, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8498) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8499), _u8500)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8499, _u8498), hAPP(c_COMBK(_u8498, _u8499), _u8501)), _u8500) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8498), _u8501), hAPP(c_Finite__Set_Ocard(_u8499), _u8500))) )).
% 43.38/43.63 cnf(matrix-4083, 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, _u8502))))) )).
% 43.38/43.63 cnf(matrix-4084, 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, _u8503)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4085, plain, ( ( _u8506 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8508), _u8506) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4086, plain, ( ( _u8507 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8509), _u8507) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8509), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8509), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8507), c_Groups_Oone__class_Oone(tc_Nat_Onat))))) )).
% 43.38/43.63 cnf(matrix-4087, 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), _u8512)), _u8514))) | ( _u8512 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u8514 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4088, 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), _u8513)), _u8515))) | ( _u8513 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-4089, 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), _u8513)), _u8515))) | ( _u8515 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4090, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8516), _u8517)) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u8516, tc_HOL_Obool)), hAPP(c_Set_OPow(_u8516), _u8517)) = 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(_u8516), _u8517))) )).
% 43.38/43.63 cnf(matrix-4091, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8518), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u8518), _u8519)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8518))), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8519)))) )).
% 43.38/43.63 cnf(matrix-4092, plain, ( ~class_Rings_Olinordered__semidom(_u8520) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8520), _u8521), _u8522)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8520), c_Groups_Ozero__class_Ozero(_u8520)), _u8521)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8523)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8520), hAPP(hAPP(c_Power_Opower__class_Opower(_u8520), _u8521), _u8523)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8520), _u8522), _u8523))) )).
% 43.38/43.63 cnf(matrix-4093, plain, ( ~class_Fields_Ofield(_u8524) | ( _u8525 = c_Groups_Ozero__class_Ozero(_u8524)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8526), _u8527)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8524), _u8525), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8527), _u8526)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8524), hAPP(hAPP(c_Power_Opower__class_Opower(_u8524), _u8525), _u8527)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8524), _u8525), _u8526))) )).
% 43.38/43.63 cnf(matrix-4094, plain, ( ~class_Rings_Olinordered__semidom(_u8528) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8528), c_Groups_Oone__class_Oone(_u8528)), _u8529)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8530)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8528), c_Groups_Oone__class_Oone(_u8528)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8528), _u8529), _u8530))) )).
% 43.38/43.63 cnf(matrix-4095, plain, ( ~class_Rings_Olinordered__semidom(_u8531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8531), c_Groups_Oone__class_Oone(_u8531)), _u8532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8531), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), _u8532), _u8533)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), _u8532), _u8534))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8533), _u8534)) )).
% 43.38/43.63 cnf(matrix-4096, plain, ( ~class_Rings_Olinordered__semidom(_u8531) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8531), c_Groups_Oone__class_Oone(_u8531)), _u8532)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8533), _u8534)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8531), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), _u8532), _u8533)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8531), _u8532), _u8534))) )).
% 43.38/43.63 cnf(matrix-4097, plain, ( ~class_Rings_Olinordered__semidom(_u8535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8535), c_Groups_Oone__class_Oone(_u8535)), _u8536)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8535), hAPP(hAPP(c_Power_Opower__class_Opower(_u8535), _u8536), _u8537)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8535), _u8536), _u8538))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8537), _u8538)) )).
% 43.38/43.63 cnf(matrix-4098, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8539)) = _u8539) )).
% 43.38/43.63 cnf(matrix-4099, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u8540) | ( _u8541 = c_Groups_Ozero__class_Ozero(_u8540)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8540), _u8541), _u8542) != c_Groups_Ozero__class_Ozero(_u8540)) )).
% 43.38/43.63 cnf(matrix-4100, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8545), _u8547) != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8547 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u8545 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.63 cnf(matrix-4101, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8546), _u8548) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8548 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4102, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8546), _u8548) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u8546 != hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.63 cnf(matrix-4103, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u8549) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.63 cnf(matrix-4104, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8550)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8550), _u8551)), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8550), _u8552))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8551), _u8552)) )).
% 43.38/43.63 cnf(matrix-4105, 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), _u8555), _u8557))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8555)) | ( _u8557 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4106, 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), _u8556), _u8558))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8556)) )).
% 43.38/43.63 cnf(matrix-4107, 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), _u8556), _u8558))) | ( _u8558 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4108, plain, ( ~class_Groups_Ocomm__monoid__mult(_u8559) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8559), _u8560), _u8561)), _u8562) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8559), hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), _u8560), _u8562)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8559), _u8561), _u8562))) )).
% 43.38/43.63 cnf(matrix-4109, plain, ( ~class_Groups_Omonoid__mult(_u8563) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8563), hAPP(hAPP(c_Power_Opower__class_Opower(_u8563), _u8564), _u8565)), _u8564) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8563), _u8564), hAPP(hAPP(c_Power_Opower__class_Opower(_u8563), _u8564), _u8565))) )).
% 43.38/43.63 cnf(matrix-4110, plain, ( ~class_Groups_Omonoid__mult(_u8566) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8566), c_Groups_Oone__class_Oone(_u8566)), _u8567) = c_Groups_Oone__class_Oone(_u8566)) )).
% 43.38/43.63 cnf(matrix-4111, plain, ( ~class_Rings_Osemiring__1(_u8568) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8568), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), _u8569), _u8570)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8568), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u8568), _u8569)), _u8570)) )).
% 43.38/43.63 cnf(matrix-4112, plain, ( ~class_Groups_Omonoid__mult(_u8571) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8571), _u8572), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u8573), _u8574)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8571), hAPP(hAPP(c_Power_Opower__class_Opower(_u8571), _u8572), _u8573)), _u8574)) )).
% 43.38/43.63 cnf(matrix-4113, plain, ( ~class_Fields_Ofield__inverse__zero(_u8575) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8575), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8575), _u8576), _u8577)), _u8578) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8575), hAPP(hAPP(c_Power_Opower__class_Opower(_u8575), _u8576), _u8578)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8575), _u8577), _u8578))) )).
% 43.38/43.63 cnf(matrix-4114, plain, ( ~class_Rings_Olinordered__idom(_u8579) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8579), hAPP(hAPP(c_Power_Opower__class_Opower(_u8579), _u8580), _u8581)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8579), hAPP(c_Groups_Oabs__class_Oabs(_u8579), _u8580)), _u8581)) )).
% 43.38/43.63 cnf(matrix-4115, plain, ( ~class_Groups_Omonoid__mult(_u8582) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8582), _u8583), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = _u8583) )).
% 43.38/43.63 cnf(matrix-4116, plain, ( ~class_Rings_Olinordered__semidom(_u8584) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8584), c_Groups_Ozero__class_Ozero(_u8584)), _u8585)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8584), c_Groups_Ozero__class_Ozero(_u8584)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8584), _u8585), _u8586))) )).
% 43.38/43.63 cnf(matrix-4117, plain, ( ~class_Rings_Olinordered__semidom(_u8587) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8587), _u8588), _u8589)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8587), c_Groups_Ozero__class_Ozero(_u8587)), _u8588)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8587), hAPP(hAPP(c_Power_Opower__class_Opower(_u8587), _u8588), _u8590)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8587), _u8589), _u8590))) )).
% 43.38/43.63 cnf(matrix-4118, plain, ( ~class_Rings_Olinordered__semidom(_u8591) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8591), c_Groups_Ozero__class_Ozero(_u8591)), _u8592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8591), c_Groups_Ozero__class_Ozero(_u8591)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8591), _u8592), _u8593))) )).
% 43.38/43.63 cnf(matrix-4119, plain, ( ~class_Power_Opower(_u8594) | ~class_Rings_Omult__zero(_u8594) | ~class_Rings_Ono__zero__divisors(_u8594) | ~class_Rings_Ozero__neq__one(_u8594) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8594), _u8595), _u8596) != c_Groups_Ozero__class_Ozero(_u8594)) | ( _u8595 = c_Groups_Ozero__class_Ozero(_u8594)) )).
% 43.38/43.63 cnf(matrix-4120, plain, ( ~class_Power_Opower(_u8594) | ~class_Rings_Omult__zero(_u8594) | ~class_Rings_Ono__zero__divisors(_u8594) | ~class_Rings_Ozero__neq__one(_u8594) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8594), _u8595), _u8596) != c_Groups_Ozero__class_Ozero(_u8594)) | ( _u8596 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4121, plain, ( ~class_Power_Opower(_u8594) | ~class_Rings_Omult__zero(_u8594) | ~class_Rings_Ono__zero__divisors(_u8594) | ~class_Rings_Ozero__neq__one(_u8594) | ( _u8595 != c_Groups_Ozero__class_Ozero(_u8594)) | ( _u8596 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8594), _u8595), _u8596) = c_Groups_Ozero__class_Ozero(_u8594)) )).
% 43.38/43.63 cnf(matrix-4122, plain, ( ~class_Rings_Olinordered__semidom(_u8597) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), c_Groups_Oone__class_Oone(_u8597)), _u8598)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8597), c_Groups_Oone__class_Oone(_u8597)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8597), _u8598), _u8599))) )).
% 43.38/43.63 cnf(matrix-4123, plain, ( ~class_Power_Opower(_u8600) | ~class_Rings_Osemiring__0(_u8600) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8600), c_Groups_Ozero__class_Ozero(_u8600)), hAPP(c_Nat_OSuc, _u8601)) = c_Groups_Ozero__class_Ozero(_u8600)) )).
% 43.38/43.63 cnf(matrix-4124, plain, ( ~class_Rings_Olinordered__semidom(_u8602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8602), c_Groups_Oone__class_Oone(_u8602)), _u8603)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8602), _u8603), _u8604) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8602), _u8603), _u8605)) | ( _u8604 = _u8605) )).
% 43.38/43.63 cnf(matrix-4125, plain, ( ~class_Rings_Olinordered__semidom(_u8602) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8602), c_Groups_Oone__class_Oone(_u8602)), _u8603)) | ( _u8604 != _u8605) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8602), _u8603), _u8604) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8602), _u8603), _u8605)) )).
% 43.38/43.63 cnf(matrix-4126, plain, ( ~class_Groups_Omonoid__mult(_u8606) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8606), _u8607), hAPP(c_Nat_OSuc, _u8608)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8606), hAPP(hAPP(c_Power_Opower__class_Opower(_u8606), _u8607), _u8608)), _u8607)) )).
% 43.38/43.63 cnf(matrix-4127, plain, ( ~class_Power_Opower(_u8609) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8609), _u8610), hAPP(c_Nat_OSuc, _u8611)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8609), _u8610), hAPP(hAPP(c_Power_Opower__class_Opower(_u8609), _u8610), _u8611))) )).
% 43.38/43.63 cnf(matrix-4128, 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))), _u8612)) | 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), _u8612), _u8613))) )).
% 43.38/43.63 cnf(matrix-4129, plain, ( ~class_Power_Opower(_u8614) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8614), _u8615), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(_u8614)) )).
% 43.38/43.63 cnf(matrix-4130, plain, ( ~class_Groups_Omonoid__mult(_u8616) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8616), _u8617), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u8618), _u8619)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8616), hAPP(hAPP(c_Power_Opower__class_Opower(_u8616), _u8617), _u8618)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8616), _u8617), _u8619))) )).
% 43.38/43.63 cnf(matrix-4131, plain, ( ~class_Fields_Ofield(_u8620) | ( _u8621 = c_Groups_Ozero__class_Ozero(_u8620)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8620), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8620), _u8622), _u8621)), _u8623) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8620), hAPP(hAPP(c_Power_Opower__class_Opower(_u8620), _u8622), _u8623)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8620), _u8621), _u8623))) )).
% 43.38/43.63 cnf(matrix-4132, plain, ( ~class_Fields_Ofield__inverse__zero(_u8624) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8624), c_Groups_Oone__class_Oone(_u8624)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8624), _u8625), _u8626)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u8624), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8624), c_Groups_Oone__class_Oone(_u8624)), _u8625)), _u8626)) )).
% 43.38/43.63 cnf(matrix-4133, plain, ( ~class_Rings_Olinordered__idom(_u8627) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8627), hAPP(hAPP(c_Power_Opower__class_Opower(_u8627), hAPP(c_Groups_Ouminus__class_Ouminus(_u8627), _u8628)), _u8629)) = hAPP(c_Groups_Oabs__class_Oabs(_u8627), hAPP(hAPP(c_Power_Opower__class_Opower(_u8627), _u8628), _u8629))) )).
% 43.38/43.63 cnf(matrix-4134, plain, ( ~class_Rings_Olinordered__semidom(_u8630) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8630), hAPP(hAPP(c_Power_Opower__class_Opower(_u8630), _u8631), _u8632)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8630), _u8633), _u8632))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8630), c_Groups_Ozero__class_Ozero(_u8630)), _u8633)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8630), _u8631), _u8633)) )).
% 43.38/43.63 cnf(matrix-4135, plain, ( ~class_Rings_Olinordered__semidom(_u8634) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8634), _u8635), hAPP(c_Nat_OSuc, _u8636)) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8634), _u8637), hAPP(c_Nat_OSuc, _u8636))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8634), c_Groups_Ozero__class_Ozero(_u8634)), _u8635)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8634), c_Groups_Ozero__class_Ozero(_u8634)), _u8637)) | ( _u8635 = _u8637) )).
% 43.38/43.63 cnf(matrix-4136, plain, ( ~class_Rings_Olinordered__semidom(_u8638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8638), hAPP(hAPP(c_Power_Opower__class_Opower(_u8638), _u8639), hAPP(c_Nat_OSuc, _u8640))), hAPP(hAPP(c_Power_Opower__class_Opower(_u8638), _u8641), hAPP(c_Nat_OSuc, _u8640)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8638), c_Groups_Ozero__class_Ozero(_u8638)), _u8641)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8638), _u8639), _u8641)) )).
% 43.38/43.63 cnf(matrix-4137, plain, ( ~class_Rings_Olinordered__semidom(_u8642) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8642), c_Groups_Oone__class_Oone(_u8642)), _u8643)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8642), hAPP(hAPP(c_Power_Opower__class_Opower(_u8642), _u8643), _u8644)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8642), _u8643), hAPP(hAPP(c_Power_Opower__class_Opower(_u8642), _u8643), _u8644)))) )).
% 43.38/43.63 cnf(matrix-4138, plain, ( ~class_Rings_Olinordered__semidom(_u8645) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8645), c_Groups_Oone__class_Oone(_u8645)), _u8646)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8645), c_Groups_Oone__class_Oone(_u8645)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8645), _u8646), hAPP(hAPP(c_Power_Opower__class_Opower(_u8645), _u8646), _u8647)))) )).
% 43.38/43.63 cnf(matrix-4139, plain, ( ~class_Power_Opower(_u8648) | ~class_Rings_Osemiring__0(_u8648) | ( _u8649 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8648), c_Groups_Ozero__class_Ozero(_u8648)), _u8649) = c_Groups_Oone__class_Oone(_u8648)) )).
% 43.38/43.63 cnf(matrix-4140, plain, ( ~class_Power_Opower(_u8648) | ~class_Rings_Osemiring__0(_u8648) | ( _u8649 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8648), c_Groups_Ozero__class_Ozero(_u8648)), _u8649) = c_Groups_Ozero__class_Ozero(_u8648)) )).
% 43.38/43.63 cnf(matrix-4141, plain, ( ~class_Rings_Olinordered__semidom(_u8650) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8650), c_Groups_Oone__class_Oone(_u8650)), _u8651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8650), c_Groups_Oone__class_Oone(_u8650)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8650), _u8651), hAPP(c_Nat_OSuc, _u8652)))) )).
% 43.38/43.63 cnf(matrix-4142, plain, ( ~class_Rings_Olinordered__semidom(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), c_Groups_Oone__class_Oone(_u8653)), _u8654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Power_Opower__class_Opower(_u8653), _u8654), _u8655)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8653), _u8654), _u8656))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8655), _u8656)) )).
% 43.38/43.63 cnf(matrix-4143, plain, ( ~class_Rings_Olinordered__semidom(_u8653) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), c_Groups_Oone__class_Oone(_u8653)), _u8654)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8655), _u8656)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8653), hAPP(hAPP(c_Power_Opower__class_Opower(_u8653), _u8654), _u8655)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8653), _u8654), _u8656))) )).
% 43.38/43.63 cnf(matrix-4144, plain, ( ~class_Rings_Olinordered__semidom(_u8657) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), c_Groups_Oone__class_Oone(_u8657)), _u8658)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8657), hAPP(hAPP(c_Power_Opower__class_Opower(_u8657), _u8658), _u8659)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8657), _u8658), _u8660))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8659), _u8660)) )).
% 43.38/43.63 cnf(matrix-4145, plain, ( ~class_Rings_Olinordered__semidom(_u8661) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8662), _u8663)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8661), c_Groups_Oone__class_Oone(_u8661)), _u8664)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8661), hAPP(hAPP(c_Power_Opower__class_Opower(_u8661), _u8664), _u8662)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8661), _u8664), _u8663))) )).
% 43.38/43.63 cnf(matrix-4146, plain, ( ~class_Rings_Olinordered__idom(_u8665) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8665), c_Groups_Ozero__class_Ozero(_u8665)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8665), hAPP(c_Groups_Oabs__class_Oabs(_u8665), _u8666)), _u8667))) )).
% 43.38/43.63 cnf(matrix-4147, plain, ( ~class_Rings_Olinordered__semidom(_u8668) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8669), _u8670)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8668), c_Groups_Oone__class_Oone(_u8668)), _u8671)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8668), hAPP(hAPP(c_Power_Opower__class_Opower(_u8668), _u8671), _u8669)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8668), _u8671), _u8670))) )).
% 43.38/43.63 cnf(matrix-4148, plain, ( ~class_Rings_Oring__1(_u8672) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8672), hAPP(c_Groups_Ouminus__class_Ouminus(_u8672), _u8673)), _u8674) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8672), hAPP(hAPP(c_Power_Opower__class_Opower(_u8672), hAPP(c_Groups_Ouminus__class_Ouminus(_u8672), c_Groups_Oone__class_Oone(_u8672))), _u8674)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8672), _u8673), _u8674))) )).
% 43.38/43.63 cnf(matrix-4149, plain, ( ~class_Rings_Olinordered__semidom(_u8675) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8675), c_Groups_Ozero__class_Ozero(_u8675)), _u8676)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8675), _u8676), c_Groups_Oone__class_Oone(_u8675))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8675), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8675), _u8676), hAPP(hAPP(c_Power_Opower__class_Opower(_u8675), _u8676), _u8677))), hAPP(hAPP(c_Power_Opower__class_Opower(_u8675), _u8676), _u8677))) )).
% 43.38/43.63 cnf(matrix-4150, plain, ( ~class_Rings_Olinordered__semidom(_u8678) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u8678), _u8679), _u8680) != hAPP(hAPP(c_Power_Opower__class_Opower(_u8678), _u8681), _u8680)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8678), c_Groups_Ozero__class_Ozero(_u8678)), _u8679)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8678), c_Groups_Ozero__class_Ozero(_u8678)), _u8681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8680)) | ( _u8679 = _u8681) )).
% 43.38/43.63 cnf(matrix-4151, plain, ( ~class_Rings_Olinordered__semidom(_u8682) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), c_Groups_Ozero__class_Ozero(_u8682)), _u8683)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), _u8683), c_Groups_Oone__class_Oone(_u8682))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8682), hAPP(hAPP(c_Power_Opower__class_Opower(_u8682), _u8683), hAPP(c_Nat_OSuc, _u8684))), c_Groups_Oone__class_Oone(_u8682))) )).
% 43.38/43.63 cnf(matrix-4152, plain, ( ~class_Rings_Olinordered__semidom(_u8685) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u8686), _u8687)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8685), c_Groups_Ozero__class_Ozero(_u8685)), _u8688)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8685), _u8688), c_Groups_Oone__class_Oone(_u8685))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8685), hAPP(hAPP(c_Power_Opower__class_Opower(_u8685), _u8688), _u8687)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8685), _u8688), _u8686))) )).
% 43.38/43.63 cnf(matrix-4153, plain, ( ~class_Rings_Olinordered__semidom(_u8689) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u8690), _u8691)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8689), c_Groups_Ozero__class_Ozero(_u8689)), _u8692)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8689), _u8692), c_Groups_Oone__class_Oone(_u8689))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8689), hAPP(hAPP(c_Power_Opower__class_Opower(_u8689), _u8692), _u8691)), hAPP(hAPP(c_Power_Opower__class_Opower(_u8689), _u8692), _u8690))) )).
% 43.38/43.63 cnf(matrix-4154, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) )).
% 43.38/43.63 cnf(matrix-4155, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) )).
% 43.38/43.63 cnf(matrix-4156, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.38/43.63 cnf(matrix-4157, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.38/43.63 cnf(matrix-4158, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.38/43.63 cnf(matrix-4159, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.38/43.63 cnf(matrix-4160, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), c_Groups_Ozero__class_Ozero(_u8693)), _u8696)) )).
% 43.38/43.63 cnf(matrix-4161, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.38/43.63 cnf(matrix-4162, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8693), _u8696), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.38/43.63 cnf(matrix-4163, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8693) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8693), _u8695), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696)), _u8695)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8695), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8693), _u8694), _u8696))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8693), _u8694), c_Groups_Ozero__class_Ozero(_u8693))) )).
% 43.38/43.63 cnf(matrix-4164, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699))) )).
% 43.38/43.63 cnf(matrix-4165, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) )).
% 43.38/43.63 cnf(matrix-4166, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.38/43.63 cnf(matrix-4167, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.38/43.63 cnf(matrix-4168, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) )).
% 43.38/43.63 cnf(matrix-4169, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _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__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.38/43.63 cnf(matrix-4170, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _u8700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8699)) )).
% 43.38/43.63 cnf(matrix-4171, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _u8700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_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__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.38/43.63 cnf(matrix-4172, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _u8700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8697), _u8699), c_Groups_Ozero__class_Ozero(_u8697))) )).
% 43.38/43.63 cnf(matrix-4173, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8697) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8697), _u8698), _u8699)), _u8700)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), _u8698), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8697), _u8700), _u8699)), _u8698)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8697), c_Groups_Ozero__class_Ozero(_u8697)), _u8700)) )).
% 43.38/43.63 cnf(matrix-4174, plain, ( ~class_Fields_Olinordered__field(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8701), _u8703), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8704), _u8702))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), _u8703), _u8702)), _u8704)) )).
% 43.38/43.63 cnf(matrix-4175, plain, ( ~class_Fields_Olinordered__field(_u8701) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8701), c_Groups_Ozero__class_Ozero(_u8701)), _u8702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8701), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8701), _u8703), _u8702)), _u8704)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8701), _u8703), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8701), _u8704), _u8702))) )).
% 43.38/43.63 cnf(matrix-4176, plain, ( ~class_Fields_Olinordered__field(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), _u8706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), _u8706)), _u8708)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8708), _u8706))) )).
% 43.38/43.63 cnf(matrix-4177, plain, ( ~class_Fields_Olinordered__field(_u8705) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8705), c_Groups_Ozero__class_Ozero(_u8705)), _u8706)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), _u8707), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8705), _u8708), _u8706))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8705), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8705), _u8707), _u8706)), _u8708)) )).
% 43.38/43.63 cnf(matrix-4178, plain, ( ~class_Fields_Ofield__inverse__zero(_u8709) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8709), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8709), _u8710), _u8711)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8709), _u8712), _u8713)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8709), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8709), _u8710), _u8712)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8709), _u8711), _u8713))) )).
% 43.38/43.63 cnf(matrix-4179, plain, ( ~class_Fields_Ofield__inverse__zero(_u8714) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u8714), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8714), _u8715), _u8716)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8714), _u8715), hAPP(c_Groups_Ouminus__class_Ouminus(_u8714), _u8716))) )).
% 43.38/43.63 cnf(matrix-4180, plain, ( ~class_Fields_Ofield__inverse__zero(_u8717) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), hAPP(c_Groups_Ouminus__class_Ouminus(_u8717), _u8718)), hAPP(c_Groups_Ouminus__class_Ouminus(_u8717), _u8719)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8717), _u8718), _u8719)) )).
% 43.38/43.63 cnf(matrix-4181, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8720) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8720), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8720), _u8721), _u8722)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8720), hAPP(c_Groups_Oabs__class_Oabs(_u8720), _u8721)), hAPP(c_Groups_Oabs__class_Oabs(_u8720), _u8722))) )).
% 43.38/43.63 cnf(matrix-4182, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8723) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8723), _u8724), _u8725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8723), _u8726), c_Groups_Ozero__class_Ozero(_u8723))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8723), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8723), _u8725), _u8726)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8723), _u8724), _u8726))) )).
% 43.38/43.63 cnf(matrix-4183, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8727) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), _u8728), _u8729)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), c_Groups_Ozero__class_Ozero(_u8727)), _u8730)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8727), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8727), _u8728), _u8730)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8727), _u8729), _u8730))) )).
% 43.38/43.63 cnf(matrix-4184, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8732), c_Groups_Ozero__class_Ozero(_u8731))) )).
% 43.38/43.63 cnf(matrix-4185, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8732)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8733)) )).
% 43.38/43.63 cnf(matrix-4186, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8733), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8732), c_Groups_Ozero__class_Ozero(_u8731))) )).
% 43.38/43.63 cnf(matrix-4187, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8733), c_Groups_Ozero__class_Ozero(_u8731))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8733)) )).
% 43.38/43.63 cnf(matrix-4188, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8732)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8733), c_Groups_Ozero__class_Ozero(_u8731))) )).
% 43.38/43.63 cnf(matrix-4189, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8731) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8731), _u8732), _u8733)), c_Groups_Ozero__class_Ozero(_u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), _u8732), c_Groups_Ozero__class_Ozero(_u8731))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8731), c_Groups_Ozero__class_Ozero(_u8731)), _u8733)) )).
% 43.38/43.63 cnf(matrix-4190, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8735), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.38/43.63 cnf(matrix-4191, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8735)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8736), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.38/43.63 cnf(matrix-4192, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8735), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.38/43.63 cnf(matrix-4193, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8736)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8736), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.38/43.63 cnf(matrix-4194, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8735)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), _u8736)) )).
% 43.38/43.63 cnf(matrix-4195, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8734) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), c_Groups_Ozero__class_Ozero(_u8734)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8734), _u8735), _u8736))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8735), c_Groups_Ozero__class_Ozero(_u8734))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8734), _u8736), c_Groups_Ozero__class_Ozero(_u8734))) )).
% 43.38/43.63 cnf(matrix-4196, plain, ( ~class_Fields_Olinordered__field(_u8737) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8737), _u8738), _u8739)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8737), _u8740), c_Groups_Ozero__class_Ozero(_u8737))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8737), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8737), _u8739), _u8740)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8737), _u8738), _u8740))) )).
% 43.38/43.63 cnf(matrix-4197, plain, ( ~class_Fields_Olinordered__field(_u8741) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8741), _u8742), _u8743)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8741), c_Groups_Ozero__class_Ozero(_u8741)), _u8744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8741), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8741), _u8742), _u8744)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8741), _u8743), _u8744))) )).
% 43.38/43.63 cnf(matrix-4198, plain, ( ~class_Fields_Olinordered__field(_u8745) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8745), _u8746), c_Groups_Ozero__class_Ozero(_u8745))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8745), _u8747), c_Groups_Ozero__class_Ozero(_u8745))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8745), c_Groups_Ozero__class_Ozero(_u8745)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8745), _u8746), _u8747))) )).
% 43.38/43.63 cnf(matrix-4199, plain, ( ~class_Fields_Olinordered__field(_u8748) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8748), _u8749), c_Groups_Ozero__class_Ozero(_u8748))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8748), c_Groups_Ozero__class_Ozero(_u8748)), _u8750)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8748), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8748), _u8749), _u8750)), c_Groups_Ozero__class_Ozero(_u8748))) )).
% 43.38/43.63 cnf(matrix-4200, plain, ( ~class_Fields_Olinordered__field(_u8751) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8751), c_Groups_Ozero__class_Ozero(_u8751)), _u8752)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8751), _u8753), c_Groups_Ozero__class_Ozero(_u8751))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8751), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8751), _u8752), _u8753)), c_Groups_Ozero__class_Ozero(_u8751))) )).
% 43.38/43.63 cnf(matrix-4201, plain, ( ~class_Fields_Olinordered__field(_u8754) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8754), c_Groups_Ozero__class_Ozero(_u8754)), _u8755)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8754), c_Groups_Ozero__class_Ozero(_u8754)), _u8756)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8754), c_Groups_Ozero__class_Ozero(_u8754)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8754), _u8755), _u8756))) )).
% 43.38/43.63 cnf(matrix-4202, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8758), c_Groups_Ozero__class_Ozero(_u8757))) )).
% 43.38/43.63 cnf(matrix-4203, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8758)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8759)) )).
% 43.38/43.63 cnf(matrix-4204, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8759), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8758), c_Groups_Ozero__class_Ozero(_u8757))) )).
% 43.38/43.63 cnf(matrix-4205, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8759), c_Groups_Ozero__class_Ozero(_u8757))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8759)) )).
% 43.38/43.63 cnf(matrix-4206, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8758)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8759), c_Groups_Ozero__class_Ozero(_u8757))) )).
% 43.38/43.63 cnf(matrix-4207, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8757) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8757), _u8758), _u8759)), c_Groups_Ozero__class_Ozero(_u8757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), _u8758), c_Groups_Ozero__class_Ozero(_u8757))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8757), c_Groups_Ozero__class_Ozero(_u8757)), _u8759)) )).
% 43.38/43.63 cnf(matrix-4208, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8761), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.38/43.63 cnf(matrix-4209, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8761)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8762), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.38/43.63 cnf(matrix-4210, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8761), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.38/43.63 cnf(matrix-4211, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8762)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8762), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.38/43.63 cnf(matrix-4212, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8761)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), _u8762)) )).
% 43.38/43.63 cnf(matrix-4213, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8760) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), c_Groups_Ozero__class_Ozero(_u8760)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8760), _u8761), _u8762))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8761), c_Groups_Ozero__class_Ozero(_u8760))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8760), _u8762), c_Groups_Ozero__class_Ozero(_u8760))) )).
% 43.38/43.63 cnf(matrix-4214, plain, ( ~class_Fields_Ofield(_u8763) | ( _u8764 = c_Groups_Ozero__class_Ozero(_u8763)) | ( _u8765 = c_Groups_Ozero__class_Ozero(_u8763)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8763), _u8766), _u8764) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8763), _u8767), _u8765)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8763), _u8766), _u8765) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8763), _u8767), _u8764)) )).
% 43.38/43.63 cnf(matrix-4215, plain, ( ~class_Fields_Ofield(_u8763) | ( _u8764 = c_Groups_Ozero__class_Ozero(_u8763)) | ( _u8765 = c_Groups_Ozero__class_Ozero(_u8763)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8763), _u8766), _u8765) != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8763), _u8767), _u8764)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8763), _u8766), _u8764) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8763), _u8767), _u8765)) )).
% 43.38/43.63 cnf(matrix-4216, plain, ( ~class_Fields_Ofield__inverse__zero(_u8768) | ( _u8769 = c_Groups_Ozero__class_Ozero(_u8768)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8768), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8768), _u8769), _u8770)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8768), _u8769), _u8771)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8768), _u8770), _u8771)) )).
% 43.38/43.63 cnf(matrix-4217, plain, ( ~class_Fields_Ofield__inverse__zero(_u8772) | ( _u8773 = c_Groups_Ozero__class_Ozero(_u8772)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8772), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8772), _u8774), _u8773)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8772), _u8775), _u8773)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8772), _u8774), _u8775)) )).
% 43.38/43.63 cnf(matrix-4218, plain, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) != _u8779) | ( _u8778 = c_Groups_Ozero__class_Ozero(_u8776)) | ( _u8777 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8776), _u8779), _u8778)) )).
% 43.38/43.63 cnf(matrix-4219, plain, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) != _u8779) | ( _u8778 != c_Groups_Ozero__class_Ozero(_u8776)) | ( _u8779 = c_Groups_Ozero__class_Ozero(_u8776)) )).
% 43.38/43.63 cnf(matrix-4220, plain, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) = _u8779) | ( _u8778 != c_Groups_Ozero__class_Ozero(_u8776)) | ( _u8779 != c_Groups_Ozero__class_Ozero(_u8776)) )).
% 43.38/43.63 cnf(matrix-4221, plain, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) = _u8779) | ( _u8777 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8776), _u8779), _u8778)) | ( _u8778 = c_Groups_Ozero__class_Ozero(_u8776)) )).
% 43.38/43.63 cnf(matrix-4222, plain, ( ~class_Fields_Ofield__inverse__zero(_u8776) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8776), _u8777), _u8778) = _u8779) | ( _u8777 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8776), _u8779), _u8778)) | ( _u8779 != c_Groups_Ozero__class_Ozero(_u8776)) )).
% 43.38/43.63 cnf(matrix-4223, plain, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( _u8783 = c_Groups_Ozero__class_Ozero(_u8780)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8780), _u8781), _u8783) = _u8782) )).
% 43.38/43.63 cnf(matrix-4224, plain, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( _u8783 != c_Groups_Ozero__class_Ozero(_u8780)) | ( _u8781 = c_Groups_Ozero__class_Ozero(_u8780)) )).
% 43.38/43.63 cnf(matrix-4225, plain, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( _u8783 != c_Groups_Ozero__class_Ozero(_u8780)) | ( _u8781 != c_Groups_Ozero__class_Ozero(_u8780)) )).
% 43.38/43.63 cnf(matrix-4226, plain, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8780), _u8781), _u8783) != _u8782) | ( _u8783 = c_Groups_Ozero__class_Ozero(_u8780)) )).
% 43.38/43.63 cnf(matrix-4227, plain, ( ~class_Fields_Ofield__inverse__zero(_u8780) | ( _u8781 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8780), _u8782), _u8783)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8780), _u8781), _u8783) != _u8782) | ( _u8781 != c_Groups_Ozero__class_Ozero(_u8780)) )).
% 43.38/43.63 cnf(matrix-4228, plain, ( ~class_Fields_Olinordered__field(_u8784) | ( _u8785 = c_Groups_Ozero__class_Ozero(_u8784)) | ( hAPP(c_Groups_Oabs__class_Oabs(_u8784), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8784), _u8786), _u8785)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8784), hAPP(c_Groups_Oabs__class_Oabs(_u8784), _u8786)), hAPP(c_Groups_Oabs__class_Oabs(_u8784), _u8785))) )).
% 43.38/43.63 cnf(matrix-4229, plain, ( ~class_Fields_Olinordered__field(_u8787) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8787), _u8788), c_Groups_Ozero__class_Ozero(_u8787))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8787), _u8789), c_Groups_Ozero__class_Ozero(_u8787))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8787), c_Groups_Ozero__class_Ozero(_u8787)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8787), _u8788), _u8789))) )).
% 43.38/43.63 cnf(matrix-4230, plain, ( ~class_Fields_Olinordered__field(_u8790) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8790), _u8791), c_Groups_Ozero__class_Ozero(_u8790))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8790), c_Groups_Ozero__class_Ozero(_u8790)), _u8792)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8790), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8790), _u8791), _u8792)), c_Groups_Ozero__class_Ozero(_u8790))) )).
% 43.38/43.63 cnf(matrix-4231, plain, ( ~class_Fields_Olinordered__field(_u8793) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8793), c_Groups_Ozero__class_Ozero(_u8793)), _u8794)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8793), _u8794), _u8795)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8793), c_Groups_Ozero__class_Ozero(_u8793)), _u8796)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8793), _u8796), _u8797)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8793), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8793), _u8794), _u8797)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8793), _u8795), _u8796))) )).
% 43.38/43.63 cnf(matrix-4232, plain, ( ~class_Fields_Olinordered__field(_u8798) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8798), c_Groups_Ozero__class_Ozero(_u8798)), _u8799)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8798), _u8799), _u8800)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8798), c_Groups_Ozero__class_Ozero(_u8798)), _u8801)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8798), _u8801), _u8802)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8798), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8798), _u8799), _u8802)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8798), _u8800), _u8801))) )).
% 43.38/43.63 cnf(matrix-4233, plain, ( ~class_Fields_Olinordered__field(_u8803) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8803), c_Groups_Ozero__class_Ozero(_u8803)), _u8804)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8803), _u8804), _u8805)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8803), c_Groups_Ozero__class_Ozero(_u8803)), _u8806)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8803), _u8806), _u8807)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8803), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8803), _u8804), _u8807)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8803), _u8805), _u8806))) )).
% 43.38/43.63 cnf(matrix-4234, plain, ( ~class_Fields_Olinordered__field(_u8808) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8808), c_Groups_Ozero__class_Ozero(_u8808)), _u8809)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8808), _u8810), c_Groups_Ozero__class_Ozero(_u8808))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8808), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8808), _u8809), _u8810)), c_Groups_Ozero__class_Ozero(_u8808))) )).
% 43.38/43.63 cnf(matrix-4235, plain, ( ~class_Fields_Olinordered__field(_u8811) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8811), c_Groups_Ozero__class_Ozero(_u8811)), _u8812)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8811), c_Groups_Ozero__class_Ozero(_u8811)), _u8813)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8811), c_Groups_Ozero__class_Ozero(_u8811)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8811), _u8812), _u8813))) )).
% 43.38/43.63 cnf(matrix-4236, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) )).
% 43.38/43.63 cnf(matrix-4237, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) )).
% 43.38/43.63 cnf(matrix-4238, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.38/43.63 cnf(matrix-4239, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.38/43.63 cnf(matrix-4240, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.38/43.63 cnf(matrix-4241, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.38/43.63 cnf(matrix-4242, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), c_Groups_Ozero__class_Ozero(_u8814)), _u8817)) )).
% 43.38/43.63 cnf(matrix-4243, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.38/43.63 cnf(matrix-4244, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8817), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.38/43.63 cnf(matrix-4245, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8814) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8814), _u8816), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817)), _u8816)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8816), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8814), _u8815), _u8817))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8814), _u8815), c_Groups_Ozero__class_Ozero(_u8814))) )).
% 43.38/43.63 cnf(matrix-4246, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) )).
% 43.38/43.63 cnf(matrix-4247, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) )).
% 43.38/43.63 cnf(matrix-4248, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.38/43.63 cnf(matrix-4249, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.38/43.63 cnf(matrix-4250, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) )).
% 43.38/43.63 cnf(matrix-4251, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.38/43.63 cnf(matrix-4252, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8820)) )).
% 43.38/43.63 cnf(matrix-4253, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.38/43.63 cnf(matrix-4254, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8820), c_Groups_Ozero__class_Ozero(_u8818))) )).
% 43.38/43.63 cnf(matrix-4255, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8818) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8818), _u8819), _u8820)), _u8821)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), _u8819), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8818), _u8821), _u8820)), _u8819)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8818), c_Groups_Ozero__class_Ozero(_u8818)), _u8821)) )).
% 43.38/43.63 cnf(matrix-4256, plain, ( ~class_Fields_Olinordered__field(_u8822) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), c_Groups_Ozero__class_Ozero(_u8822)), _u8823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), _u8824), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8825), _u8823))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8824), _u8823)), _u8825)) )).
% 43.38/43.63 cnf(matrix-4257, plain, ( ~class_Fields_Olinordered__field(_u8822) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), c_Groups_Ozero__class_Ozero(_u8822)), _u8823)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8822), _u8824), _u8823)), _u8825)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8822), _u8824), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8822), _u8825), _u8823))) )).
% 43.38/43.63 cnf(matrix-4258, plain, ( ~class_Fields_Olinordered__field(_u8826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), c_Groups_Ozero__class_Ozero(_u8826)), _u8827)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8826), _u8828), _u8827)), _u8829)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), _u8828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8826), _u8829), _u8827))) )).
% 43.38/43.63 cnf(matrix-4259, plain, ( ~class_Fields_Olinordered__field(_u8826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), c_Groups_Ozero__class_Ozero(_u8826)), _u8827)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), _u8828), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8826), _u8829), _u8827))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8826), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8826), _u8828), _u8827)), _u8829)) )).
% 43.38/43.63 cnf(matrix-4260, plain, ( ~class_Fields_Olinordered__field(_u8830) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), c_Groups_Ozero__class_Ozero(_u8830)), _u8831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), _u8832), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8830), _u8833), _u8831))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8830), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8830), _u8832), _u8831)), _u8833)) )).
% 43.38/43.63 cnf(matrix-4261, plain, ( ~class_Fields_Olinordered__field(_u8834) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8834), c_Groups_Ozero__class_Ozero(_u8834)), _u8835)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8834), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8834), _u8836), _u8835)), _u8837)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8834), _u8836), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8834), _u8837), _u8835))) )).
% 43.38/43.63 cnf(matrix-4262, plain, ( ~class_Fields_Olinordered__field(_u8838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8839), c_Groups_Ozero__class_Ozero(_u8838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8840), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8838), _u8841), _u8839))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8838), _u8840), _u8839))) )).
% 43.38/43.63 cnf(matrix-4263, plain, ( ~class_Fields_Olinordered__field(_u8838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8839), c_Groups_Ozero__class_Ozero(_u8838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8841), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8838), _u8840), _u8839))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8838), _u8840), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8838), _u8841), _u8839))) )).
% 43.38/43.63 cnf(matrix-4264, plain, ( ~class_Fields_Olinordered__field(_u8842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), _u8843), c_Groups_Ozero__class_Ozero(_u8842))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8842), _u8844), _u8843)), _u8845)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8842), _u8845), _u8843)), _u8844)) )).
% 43.38/43.63 cnf(matrix-4265, plain, ( ~class_Fields_Olinordered__field(_u8842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), _u8843), c_Groups_Ozero__class_Ozero(_u8842))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8842), _u8845), _u8843)), _u8844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8842), _u8844), _u8843)), _u8845)) )).
% 43.38/43.63 cnf(matrix-4266, plain, ( ~class_Fields_Olinordered__field(_u8846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8846), _u8847), _u8848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8846), c_Groups_Ozero__class_Ozero(_u8846)), _u8849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8846), c_Groups_Ozero__class_Ozero(_u8846)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8846), _u8848), _u8847))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8846), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8846), _u8849), _u8848)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8846), _u8849), _u8847))) )).
% 43.38/43.63 cnf(matrix-4267, plain, ( ~class_Fields_Olinordered__field(_u8850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), _u8851), _u8852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), _u8853), c_Groups_Ozero__class_Ozero(_u8850))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), c_Groups_Ozero__class_Ozero(_u8850)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8850), _u8851), _u8852))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8850), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8850), _u8853), _u8851)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8850), _u8853), _u8852))) )).
% 43.38/43.63 cnf(matrix-4268, plain, ( ~class_Fields_Ofield(_u8854) | ( _u8855 = c_Groups_Ozero__class_Ozero(_u8854)) | ( _u8856 = c_Groups_Ozero__class_Ozero(_u8854)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8854), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8854), _u8857), _u8855)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8854), _u8858), _u8856)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8854), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8854), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8854), _u8857), _u8856)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8854), _u8858), _u8855))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8854), _u8855), _u8856))) )).
% 43.38/43.63 cnf(matrix-4269, plain, ( ~class_Fields_Ofield(_u8859) | ( _u8860 = c_Groups_Ozero__class_Ozero(_u8859)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8859), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8859), _u8861), _u8860)), _u8862) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8859), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8859), _u8861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8859), _u8860), _u8862))), _u8860)) )).
% 43.38/43.63 cnf(matrix-4270, plain, ( ~class_Fields_Ofield__inverse__zero(_u8863) | ( _u8864 = c_Groups_Ozero__class_Ozero(_u8863)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8863), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8863), _u8865), _u8864)), _u8866) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8863), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8863), _u8865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8863), _u8866), _u8864))), _u8864)) )).
% 43.38/43.63 cnf(matrix-4271, plain, ( ~class_Fields_Ofield(_u8867) | ( _u8868 = c_Groups_Ozero__class_Ozero(_u8867)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8867), _u8869), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8867), _u8870), _u8868)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8867), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8867), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8867), _u8868), _u8869)), _u8870)), _u8868)) )).
% 43.38/43.63 cnf(matrix-4272, plain, ( ~class_Fields_Ofield__inverse__zero(_u8871) | ( _u8872 = c_Groups_Ozero__class_Ozero(_u8871)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8871), _u8873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8871), _u8874), _u8872)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8871), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8871), _u8874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8871), _u8873), _u8872))), _u8872)) )).
% 43.38/43.63 cnf(matrix-4273, plain, ( ~class_Fields_Ofield(_u8875) | ( _u8876 = c_Groups_Ozero__class_Ozero(_u8875)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8875), _u8877), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8875), _u8878), _u8876)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8875), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8875), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8875), _u8876), _u8877)), _u8878)), _u8876)) )).
% 43.38/43.63 cnf(matrix-4274, plain, ( ~class_Fields_Ofield(_u8879) | ( _u8880 = c_Groups_Ozero__class_Ozero(_u8879)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8879), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8879), _u8881), _u8880)), _u8882) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8879), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8879), _u8881), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8879), _u8880), _u8882))), _u8880)) )).
% 43.38/43.63 cnf(matrix-4275, plain, ( ~class_Fields_Ofield(_u8883) | ( _u8884 = c_Groups_Ozero__class_Ozero(_u8883)) | ( _u8885 = c_Groups_Ozero__class_Ozero(_u8883)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8883), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8883), _u8886), _u8884)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8883), _u8887), _u8885)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8883), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u8883), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8883), _u8886), _u8885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8883), _u8887), _u8884))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8883), _u8884), _u8885))) )).
% 43.38/43.63 cnf(matrix-4276, plain, ( ~class_Fields_Olinordered__field(_u8888) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8888), _u8889), _u8890)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8888), _u8889), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8888), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8888), _u8889), _u8890)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8888), c_Groups_Oone__class_Oone(_u8888)), c_Groups_Oone__class_Oone(_u8888))))) )).
% 43.38/43.63 cnf(matrix-4277, plain, ( ~class_Fields_Olinordered__field(_u8891) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8891), _u8892), _u8893)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8891), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8891), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8891), _u8892), _u8893)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u8891), c_Groups_Oone__class_Oone(_u8891)), c_Groups_Oone__class_Oone(_u8891)))), _u8893)) )).
% 43.38/43.63 cnf(matrix-4278, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8894) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8894), c_Groups_Ozero__class_Ozero(_u8894)), _u8895)) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8894), hAPP(c_Groups_Oabs__class_Oabs(_u8894), _u8896)), _u8895) = hAPP(c_Groups_Oabs__class_Oabs(_u8894), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8894), _u8896), _u8895))) )).
% 43.38/43.63 cnf(matrix-4279, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u8897) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8897), _u8898), _u8899)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8897), _u8900), c_Groups_Ozero__class_Ozero(_u8897))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8897), c_Groups_Ozero__class_Ozero(_u8897)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8897), _u8898), _u8899))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8897), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8897), _u8900), _u8898)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8897), _u8900), _u8899))) )).
% 43.38/43.63 cnf(matrix-4280, plain, ( ~class_Fields_Olinordered__field(_u8901) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8901), _u8902), _u8903)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8901), c_Groups_Ozero__class_Ozero(_u8901)), _u8904)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8901), c_Groups_Ozero__class_Ozero(_u8901)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8901), _u8903), _u8902))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8901), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8901), _u8904), _u8903)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8901), _u8904), _u8902))) )).
% 43.38/43.63 cnf(matrix-4281, plain, ( ~class_Fields_Olinordered__field(_u8905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8905), _u8906), c_Groups_Ozero__class_Ozero(_u8905))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8905), _u8907), _u8906)), _u8908)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8905), _u8908), _u8906)), _u8907)) )).
% 43.38/43.63 cnf(matrix-4282, plain, ( ~class_Fields_Olinordered__field(_u8905) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8905), _u8906), c_Groups_Ozero__class_Ozero(_u8905))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8905), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8905), _u8908), _u8906)), _u8907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8905), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8905), _u8907), _u8906)), _u8908)) )).
% 43.38/43.63 cnf(matrix-4283, plain, ( ~class_Fields_Olinordered__field(_u8909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8909), _u8910), c_Groups_Ozero__class_Ozero(_u8909))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8909), _u8911), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8909), _u8912), _u8910))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8909), _u8912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8909), _u8911), _u8910))) )).
% 43.38/43.63 cnf(matrix-4284, plain, ( ~class_Fields_Olinordered__field(_u8909) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8909), _u8910), c_Groups_Ozero__class_Ozero(_u8909))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8909), _u8912), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8909), _u8911), _u8910))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8909), _u8911), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8909), _u8912), _u8910))) )).
% 43.38/43.63 cnf(matrix-4285, plain, ( ~class_Fields_Olinordered__field(_u8913) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8913), c_Groups_Ozero__class_Ozero(_u8913)), _u8914)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8913), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8913), _u8915), _u8914)), _u8916)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8913), _u8915), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8913), _u8916), _u8914))) )).
% 43.38/43.63 cnf(matrix-4286, plain, ( ~class_Fields_Olinordered__field(_u8917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u8917), c_Groups_Ozero__class_Ozero(_u8917)), _u8918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8917), _u8919), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8917), _u8920), _u8918))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u8917), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8917), _u8919), _u8918)), _u8920)) )).
% 43.38/43.63 cnf(matrix-4287, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8922, tc_Int_Oint), _u8924), _u8923) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8922, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8922), c_Int_Onat), _u8924)), _u8923))) | hBOOL(hAPP(hAPP(c_member(_u8922), skolem224(_u8924, _u8923, _u8922)), _u8923)) )).
% 43.38/43.63 cnf(matrix-4288, plain, ( ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8922, tc_Int_Oint), _u8924), _u8923) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8922, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_Nat_Onat, _u8922), c_Int_Onat), _u8924)), _u8923))) | ~c_Nat__Transfer_Ois__nat(hAPP(_u8924, skolem224(_u8924, _u8923, _u8922))) )).
% 43.38/43.63 cnf(matrix-4289, plain, ( ~class_Fields_Ofield(_u8926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8928)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8926), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), _u8928)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), _u8929))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929)))) | hBOOL(hAPP(hAPP(c_member(_u8927), skolem225(_u8930, _u8929, _u8928, _u8927, _u8926)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929))) )).
% 43.38/43.63 cnf(matrix-4290, plain, ( ~class_Fields_Ofield(_u8926) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8928)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u8927), _u8929)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u8926), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8926), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), _u8928)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), _u8929))), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u8927, _u8926), _u8930), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u8927, tc_HOL_Obool)), _u8928), _u8929)))) | ( hAPP(_u8930, skolem225(_u8930, _u8929, _u8928, _u8927, _u8926)) = c_Groups_Ozero__class_Ozero(_u8926)) )).
% 43.38/43.63 cnf(matrix-4291, plain, ( ~class_Power_Opower(_u8931) | ( c_Power_Opower__class_Opower(_u8931) = c_Power_Opower_Opower(_u8931, c_Groups_Oone__class_Oone(_u8931), c_Groups_Otimes__class_Otimes(_u8931))) )).
% 43.38/43.63 cnf(matrix-4292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u8932)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8933)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8933), _u8932)), _u8933) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u8933), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u8932), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 43.38/43.63 cnf(matrix-4293, plain, ( ~class_Divides_Osemiring__div(_u8934) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8934), _u8935), c_Groups_Ozero__class_Ozero(_u8934)) = c_Groups_Ozero__class_Ozero(_u8934)) )).
% 43.38/43.63 cnf(matrix-4294, plain, ( ~class_Divides_Osemiring__div(_u8936) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8936), c_Groups_Ozero__class_Ozero(_u8936)), _u8937) = c_Groups_Ozero__class_Ozero(_u8936)) )).
% 43.38/43.63 cnf(matrix-4295, plain, ( ~class_Divides_Osemiring__div(_u8938) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8938), _u8939), c_Groups_Oone__class_Oone(_u8938)) = _u8939) )).
% 43.38/43.63 cnf(matrix-4296, plain, ( ~c_Nat__Transfer_Ois__nat(_u8940) | ~c_Nat__Transfer_Ois__nat(_u8941) | c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8940), _u8941)) )).
% 43.38/43.63 cnf(matrix-4297, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8942) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-4298, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8943), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8944)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8943)), _u8944)) )).
% 43.38/43.63 cnf(matrix-4299, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8945)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u8946)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8945), _u8946)) )).
% 43.38/43.63 cnf(matrix-4300, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8947)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8948)) | 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), _u8947), _u8948))) )).
% 43.38/43.63 cnf(matrix-4301, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8949), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8950)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8949), _u8950)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4302, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8951), 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), _u8952), _u8951)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8952)) )).
% 43.38/43.63 cnf(matrix-4303, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8951), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8952), _u8951)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8954), _u8953)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8954), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8953)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8954), 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), _u8954), _u8953)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4306, plain, ( ( _u8955 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8955), _u8955) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-4307, plain, ( ~class_Divides_Osemiring__div(_u8956) | ( _u8957 != c_Groups_Ozero__class_Ozero(_u8956)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8956), _u8957), _u8958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8956), _u8957), _u8959)) = c_Groups_Ozero__class_Ozero(_u8956)) )).
% 43.38/43.63 cnf(matrix-4308, plain, ( ~class_Divides_Osemiring__div(_u8956) | ( _u8957 = c_Groups_Ozero__class_Ozero(_u8956)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8956), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8956), _u8957), _u8958)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8956), _u8957), _u8959)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8956), _u8958), _u8959)) )).
% 43.38/43.63 cnf(matrix-4309, plain, ( ~class_Divides_Osemiring__div(_u8960) | ( _u8961 = c_Groups_Ozero__class_Ozero(_u8960)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8960), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8960), _u8962), _u8961)), _u8961) = _u8962) )).
% 43.38/43.63 cnf(matrix-4310, plain, ( ~class_Divides_Osemiring__div(_u8963) | ( _u8964 = c_Groups_Ozero__class_Ozero(_u8963)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8963), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8963), _u8964), _u8965)), _u8964) = _u8965) )).
% 43.38/43.63 cnf(matrix-4311, plain, ( ~class_Divides_Osemiring__div(_u8966) | ( _u8967 = c_Groups_Ozero__class_Ozero(_u8966)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8966), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8966), _u8968), _u8967)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8966), _u8969), _u8967)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8966), _u8968), _u8969)) )).
% 43.38/43.63 cnf(matrix-4312, plain, ( ~class_Divides_Osemiring__div(_u8970) | ( _u8971 = c_Groups_Ozero__class_Ozero(_u8970)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8970), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8970), _u8971), _u8972)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u8970), _u8971), _u8973)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8970), _u8972), _u8973)) )).
% 43.38/43.63 cnf(matrix-4313, plain, ( ~class_Divides_Osemiring__div(_u8974) | ( _u8975 = c_Groups_Ozero__class_Ozero(_u8974)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u8974), _u8975), _u8975) = c_Groups_Oone__class_Oone(_u8974)) )).
% 43.38/43.63 cnf(matrix-4314, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8976), _u8977)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8978), 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), _u8977), _u8978)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8976), _u8978))) )).
% 43.38/43.63 cnf(matrix-4315, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8979), _u8980)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8981)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8979), _u8981)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8980), _u8981))) )).
% 43.38/43.63 cnf(matrix-4316, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8982), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8983), _u8982)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8982), _u8983) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-4317, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8984), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8985)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8985), _u8986)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8984), _u8985)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8984), _u8986))) )).
% 43.38/43.63 cnf(matrix-4318, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8987), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8988)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8987), _u8988)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4319, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8989), 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), _u8990), _u8989))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8990), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4320, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8989), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8990), 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), _u8990), _u8989))) )).
% 43.38/43.63 cnf(matrix-4321, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8991)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8991), _u8992)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8991), _u8992) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-4322, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8993)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u8994), 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), _u8993), _u8994)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4323, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8995)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8996)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8996), _u8997)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8995), _u8997)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u8995), _u8996))) )).
% 43.38/43.63 cnf(matrix-4324, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8998)) | ~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), _u8998), _u8999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8999), _u8998)) )).
% 43.38/43.63 cnf(matrix-4325, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8998)) | ~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), _u8998), _u8999))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8999)) )).
% 43.38/43.63 cnf(matrix-4326, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8998)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u8999), _u8998)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u8999)) | 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), _u8998), _u8999))) )).
% 43.38/43.63 cnf(matrix-4327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9000)) | ~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), _u9001), _u9000))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9000), _u9001)) )).
% 43.38/43.63 cnf(matrix-4328, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9000)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9000), _u9001)) | 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), _u9001), _u9000))) )).
% 43.38/43.63 cnf(matrix-4329, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9002)) | ~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), _u9003), _u9002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9003)) )).
% 43.38/43.63 cnf(matrix-4330, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9003)) | 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), _u9003), _u9002))) )).
% 43.38/43.63 cnf(matrix-4331, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9006), _u9008) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9008 = 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)), _u9006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9006), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4332, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9006), _u9008) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9008 = 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)), _u9006)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9008), _u9006)) )).
% 43.38/43.63 cnf(matrix-4333, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9006), _u9008) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9008 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9006), _u9008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9006), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4334, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9006), _u9008) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9008 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9006), _u9008)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9008), _u9006)) )).
% 43.38/43.63 cnf(matrix-4335, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9007), _u9009) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9009 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-4336, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9007), _u9009) = 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)), _u9007)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9007), _u9009)) )).
% 43.38/43.63 cnf(matrix-4337, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9007), _u9009) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9007), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9009), _u9007)) )).
% 43.38/43.63 cnf(matrix-4338, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9010)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u9011)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9010), _u9011)), _u9010)) )).
% 43.38/43.63 cnf(matrix-4339, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9012)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9013), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9014), _u9012)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9013), _u9014)), _u9012)) )).
% 43.38/43.63 cnf(matrix-4340, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u9015, _u9016, _u9017), _u9018), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u9016) )).
% 43.38/43.63 cnf(matrix-4341, plain, ( ( hAPP(hAPP(c_Power_Opower_Opower(_u9019, _u9020, _u9021), _u9022), hAPP(c_Nat_OSuc, _u9023)) = hAPP(hAPP(_u9021, _u9022), hAPP(hAPP(c_Power_Opower_Opower(_u9019, _u9020, _u9021), _u9022), _u9023))) )).
% 43.38/43.63 cnf(matrix-4342, plain, ( ~class_Divides_Osemiring__div(_u9024) | ( _u9025 = c_Groups_Ozero__class_Ozero(_u9024)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9024), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9024), _u9026), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9024), _u9027), _u9025))), _u9025) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9024), _u9027), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9024), _u9026), _u9025))) )).
% 43.38/43.63 cnf(matrix-4343, plain, ( ~class_Divides_Osemiring__div(_u9028) | ( _u9029 = c_Groups_Ozero__class_Ozero(_u9028)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9028), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9028), _u9030), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9028), _u9029), _u9031))), _u9029) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9028), _u9031), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9028), _u9030), _u9029))) )).
% 43.38/43.63 cnf(matrix-4344, plain, ( ~class_Divides_Osemiring__div(_u9032) | ( _u9033 = c_Groups_Ozero__class_Ozero(_u9032)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9032), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9032), _u9034), _u9033)), _u9033) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9032), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9032), _u9034), _u9033)), c_Groups_Oone__class_Oone(_u9032))) )).
% 43.38/43.63 cnf(matrix-4345, plain, ( ~class_Divides_Osemiring__div(_u9035) | ( _u9036 = c_Groups_Ozero__class_Ozero(_u9035)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9035), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9035), _u9036), _u9037)), _u9036) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9035), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9035), _u9037), _u9036)), c_Groups_Oone__class_Oone(_u9035))) )).
% 43.38/43.63 cnf(matrix-4346, plain, ( ( _u9038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9039), _u9040)), _u9041)) | ( _u9039 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9038), _u9039) = _u9040) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9039), _u9041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4347, plain, ( ( _u9038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9039), _u9040)), _u9041)) | ( _u9039 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9038), _u9039) = _u9040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9041), _u9039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9039)) )).
% 43.38/43.63 cnf(matrix-4348, plain, ( ( _u9038 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9039), _u9040)), _u9041)) | ( _u9039 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9038), _u9039) = _u9040) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9041), _u9039)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9039), _u9041)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9041), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4349, plain, ( ~hBOOL(hAPP(_u9053, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9055), _u9057))) | ( _u9057 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9053, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4350, plain, ( ~hBOOL(hAPP(_u9053, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9055), _u9057))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9057)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9042)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9042), _u9057)) | ( _u9055 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9057), _u9043)), _u9042)) | hBOOL(hAPP(_u9053, _u9043)) )).
% 43.38/43.63 cnf(matrix-4351, plain, ( ~hBOOL(hAPP(_u9053, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9055), _u9057))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9057), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9057), _u9044)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9044), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9055 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9057), _u9045)), _u9044)) | hBOOL(hAPP(_u9053, _u9045)) )).
% 43.38/43.63 cnf(matrix-4352, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4353, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4354, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4355, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4356, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4357, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4358, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4359, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4360, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4361, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4362, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4363, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4364, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4365, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4366, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4367, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4368, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4369, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4370, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4371, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4372, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4373, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4374, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4375, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4376, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4377, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4378, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4379, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4380, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4381, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ( _u9058 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4382, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4383, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4384, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4385, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4386, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9058), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4387, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4388, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4389, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4390, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4391, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem229(_u9058, _u9056, _u9054)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4392, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4393, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4394, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4395, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4396, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem228(_u9058, _u9056, _u9054))), skolem229(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4397, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4398, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, 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)), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4399, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem227(_u9058, _u9056, _u9054)), _u9058)) )).
% 43.38/43.63 cnf(matrix-4400, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9056 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9058), skolem226(_u9058, _u9056, _u9054))), skolem227(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4401, plain, ( hBOOL(hAPP(_u9054, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9056), _u9058))) | ~hBOOL(hAPP(_u9054, skolem228(_u9058, _u9056, _u9054))) | ~hBOOL(hAPP(_u9054, c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9054, skolem226(_u9058, _u9056, _u9054))) )).
% 43.38/43.63 cnf(matrix-4402, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9061)) | ( c_SMT_Oz3div(_u9063, _u9061) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9063), _u9061)) )).
% 43.38/43.63 cnf(matrix-4403, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9062)) | ( c_SMT_Oz3div(_u9064, _u9062) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9064), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9062)))) )).
% 43.38/43.63 cnf(matrix-4404, plain, ( ~class_Rings_Oring__1(_u9065) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9066), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9065), _u9066) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9065), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9065), hAPP(c_Int_Onat, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9066))))) )).
% 43.38/43.63 cnf(matrix-4405, plain, ( ~class_Rings_Oring__1(_u9065) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9066), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9065), _u9066) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9065), hAPP(c_Int_Onat, _u9066))) )).
% 43.38/43.63 cnf(matrix-4406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9068), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9068 = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Nat_OSuc, skolem230(_u9068))))) )).
% 43.38/43.63 cnf(matrix-4407, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9070) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9071), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9073), _u9072)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9071, _u9070), _u9074), _u9073) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9071, _u9070), _u9074), _u9072)) | hBOOL(hAPP(hAPP(c_member(_u9071), skolem231(_u9074, _u9073, _u9072, _u9071, _u9070)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9071, tc_HOL_Obool)), _u9072), _u9073))) )).
% 43.38/43.63 cnf(matrix-4408, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9070) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9071), _u9072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9071, tc_HOL_Obool)), _u9073), _u9072)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9071, _u9070), _u9074), _u9073) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9071, _u9070), _u9074), _u9072)) | ( hAPP(_u9074, skolem231(_u9074, _u9073, _u9072, _u9071, _u9070)) != c_Groups_Oone__class_Oone(_u9070)) )).
% 43.38/43.63 cnf(matrix-4409, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9075), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9076), _u9077)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9075), _u9076)), _u9077)) )).
% 43.38/43.63 cnf(matrix-4410, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9078), _u9079)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9078), _u9080)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9079), _u9080))) )).
% 43.38/43.63 cnf(matrix-4411, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9081), _u9082)), _u9081)) )).
% 43.38/43.63 cnf(matrix-4412, plain, ( ~class_Int_Oring__char__0(_u9083) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9083), _u9084) != hAPP(c_Int_Oring__1__class_Oof__int(_u9083), _u9085)) | ( _u9084 = _u9085) )).
% 43.38/43.63 cnf(matrix-4413, plain, ( ~class_Int_Oring__char__0(_u9083) | ( _u9084 != _u9085) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9083), _u9084) = hAPP(c_Int_Oring__1__class_Oof__int(_u9083), _u9085)) )).
% 43.38/43.63 cnf(matrix-4414, plain, ( ( hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9086)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9086)) )).
% 43.38/43.63 cnf(matrix-4415, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9087), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = _u9087) )).
% 43.38/43.63 cnf(matrix-4416, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9088), _u9089)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9088), _u9089) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4417, plain, ( ( _u9093 != 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), _u9093), _u9095)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9093), _u9097)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4418, plain, ( ( _u9094 = 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), _u9094), _u9096)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9094), _u9098)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9096), _u9098)) )).
% 43.38/43.63 cnf(matrix-4419, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9099), _u9100)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9099)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9100))) )).
% 43.38/43.63 cnf(matrix-4420, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9101)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9102)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9101), _u9102))) )).
% 43.38/43.63 cnf(matrix-4421, plain, ( ~class_Rings_Oring__1(_u9103) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9103), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(_u9103)) )).
% 43.38/43.63 cnf(matrix-4422, plain, ( ~class_Int_Oring__char__0(_u9104) | ( c_Groups_Ozero__class_Ozero(_u9104) != hAPP(c_Int_Oring__1__class_Oof__int(_u9104), _u9105)) | ( _u9105 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-4423, plain, ( ~class_Int_Oring__char__0(_u9104) | ( _u9105 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Ozero__class_Ozero(_u9104) = hAPP(c_Int_Oring__1__class_Oof__int(_u9104), _u9105)) )).
% 43.38/43.63 cnf(matrix-4424, plain, ( ~class_Int_Oring__char__0(_u9106) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9106), _u9107) != c_Groups_Ozero__class_Ozero(_u9106)) | ( _u9107 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.63 cnf(matrix-4425, plain, ( ~class_Int_Oring__char__0(_u9106) | ( _u9107 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9106), _u9107) = c_Groups_Ozero__class_Ozero(_u9106)) )).
% 43.38/43.63 cnf(matrix-4426, plain, ( ~class_Rings_Olinordered__idom(_u9108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9108), hAPP(c_Int_Oring__1__class_Oof__int(_u9108), _u9109)), hAPP(c_Int_Oring__1__class_Oof__int(_u9108), _u9110))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9109), _u9110)) )).
% 43.38/43.63 cnf(matrix-4427, plain, ( ~class_Rings_Olinordered__idom(_u9108) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9109), _u9110)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9108), hAPP(c_Int_Oring__1__class_Oof__int(_u9108), _u9109)), hAPP(c_Int_Oring__1__class_Oof__int(_u9108), _u9110))) )).
% 43.38/43.63 cnf(matrix-4428, plain, ( ~class_Rings_Olinordered__idom(_u9111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9111), hAPP(c_Int_Oring__1__class_Oof__int(_u9111), _u9112)), hAPP(c_Int_Oring__1__class_Oof__int(_u9111), _u9113))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9112), _u9113)) )).
% 43.38/43.63 cnf(matrix-4429, plain, ( ~class_Rings_Olinordered__idom(_u9111) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9112), _u9113)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9111), hAPP(c_Int_Oring__1__class_Oof__int(_u9111), _u9112)), hAPP(c_Int_Oring__1__class_Oof__int(_u9111), _u9113))) )).
% 43.38/43.63 cnf(matrix-4430, plain, ( ~class_Rings_Oring__1(_u9114) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9114), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9115), _u9116)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9114), hAPP(c_Int_Oring__1__class_Oof__int(_u9114), _u9115)), hAPP(c_Int_Oring__1__class_Oof__int(_u9114), _u9116))) )).
% 43.38/43.63 cnf(matrix-4431, plain, ( ~class_Rings_Oring__1(_u9117) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9117), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9118), _u9119)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9117), hAPP(c_Int_Oring__1__class_Oof__int(_u9117), _u9118)), hAPP(c_Int_Oring__1__class_Oof__int(_u9117), _u9119))) )).
% 43.38/43.63 cnf(matrix-4432, plain, ( ~class_Rings_Oring__1(_u9120) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9120), c_Groups_Oone__class_Oone(tc_Int_Oint)) = c_Groups_Oone__class_Oone(_u9120)) )).
% 43.38/43.63 cnf(matrix-4433, plain, ( ~class_Rings_Oring__1(_u9121) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9121), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9122), _u9123)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9121), hAPP(c_Int_Oring__1__class_Oof__int(_u9121), _u9122)), hAPP(c_Int_Oring__1__class_Oof__int(_u9121), _u9123))) )).
% 43.38/43.63 cnf(matrix-4434, plain, ( ~class_Rings_Oring__1(_u9124) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9124), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9125)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9124), _u9125)) )).
% 43.38/43.63 cnf(matrix-4435, plain, ( ~class_Rings_Oring__1(_u9126) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9126), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9127)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9126), hAPP(c_Int_Oring__1__class_Oof__int(_u9126), _u9127))) )).
% 43.38/43.63 cnf(matrix-4436, plain, ( ~class_Rings_Oring__1(_u9128) | hBOOL(hAPP(hAPP(c_member(_u9128), hAPP(c_Int_Oring__1__class_Oof__int(_u9128), _u9129)), c_Int_Oring__1__class_OInts(_u9128))) )).
% 43.38/43.63 cnf(matrix-4437, plain, ( ~class_Rings_Oring__1(_u9130) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9130), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9131), _u9132)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u9130), hAPP(c_Int_Oring__1__class_Oof__int(_u9130), _u9131)), _u9132)) )).
% 43.38/43.63 cnf(matrix-4438, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9133)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9133), _u9134)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9135), _u9134)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9135), _u9133))) )).
% 43.38/43.63 cnf(matrix-4439, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9136)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9136), _u9137)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9136), _u9138)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9137), _u9138)) )).
% 43.38/43.63 cnf(matrix-4440, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9139)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9140), _u9139)), _u9139) = _u9140) )).
% 43.38/43.63 cnf(matrix-4441, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9141)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9141), _u9142)), _u9141) = _u9142) )).
% 43.38/43.63 cnf(matrix-4442, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u9143)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9144)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9144), _u9143)), _u9144)) )).
% 43.38/43.63 cnf(matrix-4443, plain, ( ~class_Rings_Oring__1(_u9145) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9145), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9146, tc_Int_Oint), _u9147), _u9148)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u9146, _u9145), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9145, _u9146), c_Int_Oring__1__class_Oof__int(_u9145)), _u9147)), _u9148)) )).
% 43.38/43.63 cnf(matrix-4444, plain, ( ~class_Groups_Ocomm__monoid__mult(_u9149) | ~class_Rings_Oring__1(_u9149) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u9149), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9150, tc_Int_Oint), _u9151), _u9152)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u9150, _u9149), hAPP(hAPP(c_COMBB(tc_Int_Oint, _u9149, _u9150), c_Int_Oring__1__class_Oof__int(_u9149)), _u9151)), _u9152)) )).
% 43.38/43.63 cnf(matrix-4445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9153)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9154), _u9153)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9154), _u9153) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9154), _u9153)), _u9153))) )).
% 43.38/43.63 cnf(matrix-4446, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9155)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9156), _u9155)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9156), _u9155) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4447, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9155)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9156), _u9155)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9156), _u9155) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9156), _u9155)), _u9155))) )).
% 43.38/43.63 cnf(matrix-4448, plain, ( ~hBOOL(hAPP(_u9164, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9166), _u9168))) | ( _u9168 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9164, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.63 cnf(matrix-4449, plain, ( ~hBOOL(hAPP(_u9164, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9166), _u9168))) | ( _u9168 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9157), _u9168)) | ( _u9166 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9168), _u9158)), _u9157)) | hBOOL(hAPP(_u9164, _u9158)) )).
% 43.38/43.63 cnf(matrix-4450, plain, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ( _u9169 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem233(_u9169, _u9167, _u9165)), _u9169)) )).
% 43.38/43.63 cnf(matrix-4451, plain, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ( _u9169 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9167 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9169), skolem232(_u9169, _u9167, _u9165))), skolem233(_u9169, _u9167, _u9165))) )).
% 43.38/43.63 cnf(matrix-4452, plain, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ( _u9169 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9165, skolem232(_u9169, _u9167, _u9165))) )).
% 43.38/43.63 cnf(matrix-4453, plain, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ~hBOOL(hAPP(_u9165, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9169 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.63 cnf(matrix-4454, plain, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ~hBOOL(hAPP(_u9165, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem233(_u9169, _u9167, _u9165)), _u9169)) )).
% 43.38/43.63 cnf(matrix-4455, plain, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ~hBOOL(hAPP(_u9165, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ( _u9167 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9169), skolem232(_u9169, _u9167, _u9165))), skolem233(_u9169, _u9167, _u9165))) )).
% 43.38/43.63 cnf(matrix-4456, plain, ( hBOOL(hAPP(_u9165, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9167), _u9169))) | ~hBOOL(hAPP(_u9165, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u9165, skolem232(_u9169, _u9167, _u9165))) )).
% 43.38/43.63 cnf(matrix-4457, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9170)) | ( hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9170), _u9171)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9170)), hAPP(c_Int_Onat, _u9171))) )).
% 43.38/43.63 cnf(matrix-4458, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9172)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9173)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onat, _u9172)), hAPP(c_Int_Onat, _u9173)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9172), _u9173))) )).
% 43.38/43.63 cnf(matrix-4459, plain, ( ~class_Rings_Olinordered__idom(_u9174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9174), hAPP(c_Int_Oring__1__class_Oof__int(_u9174), _u9175)), c_Groups_Ozero__class_Ozero(_u9174))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9175), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4460, plain, ( ~class_Rings_Olinordered__idom(_u9174) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9175), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9174), hAPP(c_Int_Oring__1__class_Oof__int(_u9174), _u9175)), c_Groups_Ozero__class_Ozero(_u9174))) )).
% 43.38/43.63 cnf(matrix-4461, plain, ( ~class_Rings_Olinordered__idom(_u9176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9176), c_Groups_Ozero__class_Ozero(_u9176)), hAPP(c_Int_Oring__1__class_Oof__int(_u9176), _u9177))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9177)) )).
% 43.38/43.63 cnf(matrix-4462, plain, ( ~class_Rings_Olinordered__idom(_u9176) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9177)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9176), c_Groups_Ozero__class_Ozero(_u9176)), hAPP(c_Int_Oring__1__class_Oof__int(_u9176), _u9177))) )).
% 43.38/43.63 cnf(matrix-4463, plain, ( ~class_Rings_Olinordered__idom(_u9178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9178), hAPP(c_Int_Oring__1__class_Oof__int(_u9178), _u9179)), c_Groups_Ozero__class_Ozero(_u9178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9179), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.63 cnf(matrix-4464, plain, ( ~class_Rings_Olinordered__idom(_u9178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9179), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9178), hAPP(c_Int_Oring__1__class_Oof__int(_u9178), _u9179)), c_Groups_Ozero__class_Ozero(_u9178))) )).
% 43.38/43.63 cnf(matrix-4465, plain, ( ~class_Rings_Olinordered__idom(_u9180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9180), c_Groups_Ozero__class_Ozero(_u9180)), hAPP(c_Int_Oring__1__class_Oof__int(_u9180), _u9181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9181)) )).
% 43.38/43.63 cnf(matrix-4466, plain, ( ~class_Rings_Olinordered__idom(_u9180) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9181)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9180), c_Groups_Ozero__class_Ozero(_u9180)), hAPP(c_Int_Oring__1__class_Oof__int(_u9180), _u9181))) )).
% 43.38/43.63 cnf(matrix-4467, plain, ( ~class_Rings_Oring__1(_u9182) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9183)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9182), hAPP(c_Int_Onat, _u9183)) = hAPP(c_Int_Oring__1__class_Oof__int(_u9182), _u9183)) )).
% 43.38/43.63 cnf(matrix-4468, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9184)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9184), _u9185)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9185), _u9184) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9185), _u9184)), _u9184))) )).
% 43.38/43.63 cnf(matrix-4469, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9186)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9186), _u9187)), _u9188)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9186), hAPP(c_Nat_OSuc, _u9187)))) | ( _u9187 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9188), _u9186)) )).
% 43.38/43.63 cnf(matrix-4470, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9186)) | ( _u9187 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9188), _u9186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9186), _u9187)), _u9188)) )).
% 43.38/43.63 cnf(matrix-4471, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9186)) | ( _u9187 != hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9188), _u9186)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9188), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9186), hAPP(c_Nat_OSuc, _u9187)))) )).
% 43.38/43.63 cnf(matrix-4472, plain, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | ( _u9198 = 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), _u9198), skolem234(_u9198, _u9196, _u9194))), _u9196)) )).
% 43.38/43.63 cnf(matrix-4473, plain, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | ( _u9198 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9198), hAPP(c_Nat_OSuc, skolem234(_u9198, _u9196, _u9194))))) )).
% 43.38/43.63 cnf(matrix-4474, plain, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | ( _u9198 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9194, skolem234(_u9198, _u9196, _u9194))) )).
% 43.38/43.63 cnf(matrix-4475, plain, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | hBOOL(hAPP(_u9194, 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), _u9198), skolem234(_u9198, _u9196, _u9194))), _u9196)) )).
% 43.38/43.63 cnf(matrix-4476, plain, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | hBOOL(hAPP(_u9194, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9196), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9198), hAPP(c_Nat_OSuc, skolem234(_u9198, _u9196, _u9194))))) )).
% 43.38/43.63 cnf(matrix-4477, plain, ( ~hBOOL(hAPP(_u9194, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9196), _u9198))) | hBOOL(hAPP(_u9194, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u9194, skolem234(_u9198, _u9196, _u9194))) )).
% 43.38/43.63 cnf(matrix-4478, plain, ( hBOOL(hAPP(_u9195, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9197), _u9199))) | ( _u9199 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9195, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.63 cnf(matrix-4479, plain, ( hBOOL(hAPP(_u9195, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9197), _u9199))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9199), _u9190)), _u9197)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9197), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9199), hAPP(c_Nat_OSuc, _u9190)))) | ~hBOOL(hAPP(_u9195, _u9190)) )).
% 43.38/43.63 cnf(matrix-4480, plain, ( ( c_Nitpick_Onat__lcm(_u9200, _u9201) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9200), _u9201)), c_Nitpick_Onat__gcd(_u9200, _u9201))) )).
% 43.38/43.63 cnf(matrix-4481, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9203), _u9204), _u9205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9203), c_Groups_Ozero__class_Ozero(_u9203)), skolem235(_u9205, _u9204, _u9203))) )).
% 43.38/43.63 cnf(matrix-4482, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9203), _u9204), _u9205)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9203), skolem235(_u9205, _u9204, _u9203)), c_Groups_Oone__class_Oone(_u9203))) )).
% 43.38/43.63 cnf(matrix-4483, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9203) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9203), _u9204), _u9205)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9203), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9203), skolem235(_u9205, _u9204, _u9203)), _u9204)), _u9205)) )).
% 43.38/43.64 cnf(matrix-4484, plain, ( ~class_Groups_Ocomm__monoid__add(_u9207) | ~class_Groups_Ocomm__monoid__mult(_u9207) | ( _u9208 != _u9209) | ~c_Nat__Transfer_Onat__set(_u9209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9207), _u9210), _u9208) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9207), _u9211), _u9209)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem236(_u9211, _u9210, _u9209, _u9208, _u9207))) )).
% 43.38/43.64 cnf(matrix-4485, plain, ( ~class_Groups_Ocomm__monoid__add(_u9207) | ~class_Groups_Ocomm__monoid__mult(_u9207) | ( _u9208 != _u9209) | ~c_Nat__Transfer_Onat__set(_u9209) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9207), _u9210), _u9208) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint, _u9207), _u9211), _u9209)) | ( hAPP(_u9210, skolem236(_u9211, _u9210, _u9209, _u9208, _u9207)) != hAPP(_u9211, skolem236(_u9211, _u9210, _u9209, _u9208, _u9207))) )).
% 43.38/43.64 cnf(matrix-4486, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9216)) | ~hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9212)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9212), _u9216)) | ( _u9218 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9216), _u9213)), _u9212)) | hBOOL(hAPP(hAPP(_u9217, _u9213), _u9212)) )).
% 43.38/43.64 cnf(matrix-4487, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9216)) | hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem238(_u9218, _u9217, _u9216))) )).
% 43.38/43.64 cnf(matrix-4488, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9216)) | hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem238(_u9218, _u9217, _u9216)), _u9216)) )).
% 43.38/43.64 cnf(matrix-4489, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9216)) | hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | ( _u9218 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9216), skolem237(_u9218, _u9217, _u9216))), skolem238(_u9218, _u9217, _u9216))) )).
% 43.38/43.64 cnf(matrix-4490, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9216)) | hBOOL(hAPP(hAPP(_u9217, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9218), _u9216)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9218, _u9216))) | ~hBOOL(hAPP(hAPP(_u9217, skolem237(_u9218, _u9217, _u9216)), skolem238(_u9218, _u9217, _u9216))) )).
% 43.38/43.64 cnf(matrix-4491, 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, _u9219, _u9220)), _u9221), _u9220) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9219), _u9221), _u9220)) )).
% 43.38/43.64 cnf(matrix-4492, plain, ( ~class_Divides_Osemiring__div(_u9222) | ( c_Divides_Odiv__class_Omod(_u9222, c_Divides_Odiv__class_Omod(_u9222, _u9223, _u9224), _u9224) = c_Divides_Odiv__class_Omod(_u9222, _u9223, _u9224)) )).
% 43.38/43.64 cnf(matrix-4493, plain, ( ~class_Divides_Oring__div(_u9225) | ( c_Divides_Odiv__class_Omod(_u9225, _u9226, _u9227) != c_Divides_Odiv__class_Omod(_u9225, _u9228, _u9227)) | ( c_Divides_Odiv__class_Omod(_u9225, _u9229, _u9227) != c_Divides_Odiv__class_Omod(_u9225, _u9230, _u9227)) | ( c_Divides_Odiv__class_Omod(_u9225, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9225), _u9226), _u9229), _u9227) = c_Divides_Odiv__class_Omod(_u9225, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9225), _u9228), _u9230), _u9227)) )).
% 43.38/43.64 cnf(matrix-4494, plain, ( ~class_Divides_Oring__div(_u9231) | ( c_Divides_Odiv__class_Omod(_u9231, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9231), _u9232), _u9233), _u9234) = c_Divides_Odiv__class_Omod(_u9231, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9231), c_Divides_Odiv__class_Omod(_u9231, _u9232, _u9234)), c_Divides_Odiv__class_Omod(_u9231, _u9233, _u9234)), _u9234)) )).
% 43.38/43.64 cnf(matrix-4495, plain, ( ~class_Divides_Oring__div(_u9235) | ( c_Divides_Odiv__class_Omod(_u9235, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9235), _u9236), _u9237), _u9238) = c_Divides_Odiv__class_Omod(_u9235, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9235), c_Divides_Odiv__class_Omod(_u9235, _u9236, _u9238)), _u9237), _u9238)) )).
% 43.38/43.64 cnf(matrix-4496, plain, ( ~class_Divides_Oring__div(_u9239) | ( c_Divides_Odiv__class_Omod(_u9239, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9239), _u9240), _u9241), _u9242) = c_Divides_Odiv__class_Omod(_u9239, hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9239), _u9240), c_Divides_Odiv__class_Omod(_u9239, _u9241, _u9242)), _u9242)) )).
% 43.38/43.64 cnf(matrix-4497, plain, ( ~class_Divides_Osemiring__div(_u9243) | ( c_Divides_Odiv__class_Omod(_u9243, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9243), _u9244), _u9245), _u9246) = c_Divides_Odiv__class_Omod(_u9243, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9243), _u9244), c_Divides_Odiv__class_Omod(_u9243, _u9245, _u9246)), _u9246)) )).
% 43.38/43.64 cnf(matrix-4498, plain, ( ~class_Divides_Osemiring__div(_u9247) | ( c_Divides_Odiv__class_Omod(_u9247, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9247), _u9248), _u9249), _u9250) = c_Divides_Odiv__class_Omod(_u9247, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9247), c_Divides_Odiv__class_Omod(_u9247, _u9248, _u9250)), _u9249), _u9250)) )).
% 43.38/43.64 cnf(matrix-4499, plain, ( ~class_Divides_Osemiring__div(_u9251) | ( c_Divides_Odiv__class_Omod(_u9251, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9251), _u9252), _u9253), _u9254) = c_Divides_Odiv__class_Omod(_u9251, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9251), c_Divides_Odiv__class_Omod(_u9251, _u9252, _u9254)), c_Divides_Odiv__class_Omod(_u9251, _u9253, _u9254)), _u9254)) )).
% 43.38/43.64 cnf(matrix-4500, plain, ( ~class_Divides_Osemiring__div(_u9255) | ( c_Divides_Odiv__class_Omod(_u9255, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9255), _u9256), _u9257), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9255), _u9256), _u9258)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9255), _u9256), c_Divides_Odiv__class_Omod(_u9255, _u9257, _u9258))) )).
% 43.38/43.64 cnf(matrix-4501, plain, ( ~class_Divides_Osemiring__div(_u9259) | ( c_Divides_Odiv__class_Omod(_u9259, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9259), _u9260), _u9261), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9259), _u9262), _u9261)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9259), c_Divides_Odiv__class_Omod(_u9259, _u9260, _u9262)), _u9261)) )).
% 43.38/43.64 cnf(matrix-4502, plain, ( ~class_Divides_Osemiring__div(_u9263) | ( c_Divides_Odiv__class_Omod(_u9263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9263), c_Divides_Odiv__class_Omod(_u9263, _u9264, _u9265)), _u9266), _u9265) = c_Divides_Odiv__class_Omod(_u9263, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9263), _u9264), _u9266), _u9265)) )).
% 43.38/43.64 cnf(matrix-4503, plain, ( ~class_Divides_Osemiring__div(_u9267) | ( c_Divides_Odiv__class_Omod(_u9267, _u9268, _u9269) != c_Divides_Odiv__class_Omod(_u9267, _u9270, _u9269)) | ( c_Divides_Odiv__class_Omod(_u9267, _u9271, _u9269) != c_Divides_Odiv__class_Omod(_u9267, _u9272, _u9269)) | ( c_Divides_Odiv__class_Omod(_u9267, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9267), _u9268), _u9271), _u9269) = c_Divides_Odiv__class_Omod(_u9267, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9267), _u9270), _u9272), _u9269)) )).
% 43.38/43.64 cnf(matrix-4504, plain, ( ~class_Divides_Osemiring__div(_u9273) | ( c_Divides_Odiv__class_Omod(_u9273, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9273), _u9274), _u9275), _u9275) = c_Divides_Odiv__class_Omod(_u9273, _u9274, _u9275)) )).
% 43.38/43.64 cnf(matrix-4505, plain, ( ~class_Divides_Osemiring__div(_u9276) | ( c_Divides_Odiv__class_Omod(_u9276, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9276), _u9277), _u9278), _u9277) = c_Divides_Odiv__class_Omod(_u9276, _u9278, _u9277)) )).
% 43.38/43.64 cnf(matrix-4506, plain, ( ~class_Divides_Osemiring__div(_u9279) | ( c_Divides_Odiv__class_Omod(_u9279, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9279), _u9280), _u9281), _u9282) = c_Divides_Odiv__class_Omod(_u9279, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9279), _u9280), c_Divides_Odiv__class_Omod(_u9279, _u9281, _u9282)), _u9282)) )).
% 43.38/43.64 cnf(matrix-4507, plain, ( ~class_Divides_Osemiring__div(_u9283) | ( c_Divides_Odiv__class_Omod(_u9283, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9283), _u9284), _u9285), _u9286) = c_Divides_Odiv__class_Omod(_u9283, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9283), c_Divides_Odiv__class_Omod(_u9283, _u9284, _u9286)), _u9285), _u9286)) )).
% 43.38/43.64 cnf(matrix-4508, plain, ( ~class_Divides_Osemiring__div(_u9287) | ( c_Divides_Odiv__class_Omod(_u9287, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9287), _u9288), _u9289), _u9290) = c_Divides_Odiv__class_Omod(_u9287, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9287), c_Divides_Odiv__class_Omod(_u9287, _u9288, _u9290)), c_Divides_Odiv__class_Omod(_u9287, _u9289, _u9290)), _u9290)) )).
% 43.38/43.64 cnf(matrix-4509, plain, ( ~class_Divides_Osemiring__div(_u9291) | ( c_Divides_Odiv__class_Omod(_u9291, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9291), _u9292), c_Divides_Odiv__class_Omod(_u9291, _u9293, _u9294)), _u9294) = c_Divides_Odiv__class_Omod(_u9291, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9291), _u9292), _u9293), _u9294)) )).
% 43.38/43.64 cnf(matrix-4510, plain, ( ~class_Divides_Osemiring__div(_u9295) | ( c_Divides_Odiv__class_Omod(_u9295, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9295), c_Divides_Odiv__class_Omod(_u9295, _u9296, _u9297)), _u9298), _u9297) = c_Divides_Odiv__class_Omod(_u9295, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9295), _u9296), _u9298), _u9297)) )).
% 43.38/43.64 cnf(matrix-4511, plain, ( ~class_Divides_Osemiring__div(_u9299) | ( c_Divides_Odiv__class_Omod(_u9299, _u9300, _u9301) != c_Divides_Odiv__class_Omod(_u9299, _u9302, _u9301)) | ( c_Divides_Odiv__class_Omod(_u9299, _u9303, _u9301) != c_Divides_Odiv__class_Omod(_u9299, _u9304, _u9301)) | ( c_Divides_Odiv__class_Omod(_u9299, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9299), _u9300), _u9303), _u9301) = c_Divides_Odiv__class_Omod(_u9299, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9299), _u9302), _u9304), _u9301)) )).
% 43.38/43.64 cnf(matrix-4512, plain, ( ~class_Divides_Osemiring__div(_u9305) | ( c_Divides_Odiv__class_Omod(_u9305, _u9306, _u9306) = c_Groups_Ozero__class_Ozero(_u9305)) )).
% 43.38/43.64 cnf(matrix-4513, plain, ( ~class_Divides_Osemiring__div(_u9307) | ( c_Divides_Odiv__class_Omod(_u9307, _u9308, c_Groups_Ozero__class_Ozero(_u9307)) = _u9308) )).
% 43.38/43.64 cnf(matrix-4514, plain, ( ~class_Divides_Osemiring__div(_u9309) | ( c_Divides_Odiv__class_Omod(_u9309, c_Groups_Ozero__class_Ozero(_u9309), _u9310) = c_Groups_Ozero__class_Ozero(_u9309)) )).
% 43.38/43.64 cnf(matrix-4515, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u9311) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4516, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9312, _u9312) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4517, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9313), _u9314), _u9315) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9313), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9314, _u9315)), _u9315)) )).
% 43.38/43.64 cnf(matrix-4518, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9316), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9317, _u9318)), _u9318) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9316), _u9317), _u9318)) )).
% 43.38/43.64 cnf(matrix-4519, 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, _u9319, _u9320)), _u9321), _u9320) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9319), _u9321), _u9320)) )).
% 43.38/43.64 cnf(matrix-4520, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9322), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9323, _u9324)), _u9324) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9322), _u9323), _u9324)) )).
% 43.38/43.64 cnf(matrix-4521, plain, ( ~c_Nat__Transfer_Ois__nat(_u9325) | ~c_Nat__Transfer_Ois__nat(_u9326) | c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9325, _u9326)) )).
% 43.38/43.64 cnf(matrix-4522, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9327, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9328)) = 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), _u9327), _u9328))) )).
% 43.38/43.64 cnf(matrix-4523, plain, ( ~class_Divides_Oring__div(_u9329) | ( c_Divides_Odiv__class_Omod(_u9329, hAPP(c_Groups_Ouminus__class_Ouminus(_u9329), _u9330), _u9331) = c_Divides_Odiv__class_Omod(_u9329, hAPP(c_Groups_Ouminus__class_Ouminus(_u9329), c_Divides_Odiv__class_Omod(_u9329, _u9330, _u9331)), _u9331)) )).
% 43.38/43.64 cnf(matrix-4524, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9332), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9333)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9332, _u9333))) )).
% 43.38/43.64 cnf(matrix-4525, 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, _u9334, _u9335)), _u9335) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9334), _u9335)) )).
% 43.38/43.64 cnf(matrix-4526, plain, ( ~class_Divides_Oring__div(_u9336) | ( c_Divides_Odiv__class_Omod(_u9336, _u9337, _u9338) != c_Divides_Odiv__class_Omod(_u9336, _u9339, _u9338)) | ( c_Divides_Odiv__class_Omod(_u9336, hAPP(c_Groups_Ouminus__class_Ouminus(_u9336), _u9337), _u9338) = c_Divides_Odiv__class_Omod(_u9336, hAPP(c_Groups_Ouminus__class_Ouminus(_u9336), _u9339), _u9338)) )).
% 43.38/43.64 cnf(matrix-4527, plain, ( ~class_Divides_Osemiring__div(_u9340) | ( c_Divides_Odiv__class_Omod(_u9340, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9340), _u9341), _u9342), _u9342) = c_Groups_Ozero__class_Ozero(_u9340)) )).
% 43.38/43.64 cnf(matrix-4528, plain, ( ~class_Divides_Osemiring__div(_u9343) | ( c_Divides_Odiv__class_Omod(_u9343, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9343), _u9344), _u9345), _u9344) = c_Groups_Ozero__class_Ozero(_u9343)) )).
% 43.38/43.64 cnf(matrix-4529, plain, ( ~class_Divides_Osemiring__div(_u9346) | ( c_Divides_Odiv__class_Omod(_u9346, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9346), _u9347), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9346), _u9348), _u9349)), _u9348) = c_Divides_Odiv__class_Omod(_u9346, _u9347, _u9348)) )).
% 43.38/43.64 cnf(matrix-4530, plain, ( ~class_Divides_Osemiring__div(_u9350) | ( c_Divides_Odiv__class_Omod(_u9350, hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9350), _u9351), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9350), _u9352), _u9353)), _u9353) = c_Divides_Odiv__class_Omod(_u9350, _u9351, _u9353)) )).
% 43.38/43.64 cnf(matrix-4531, plain, ( ~class_Divides_Osemiring__div(_u9354) | ( c_Divides_Odiv__class_Omod(_u9354, _u9355, c_Groups_Oone__class_Oone(_u9354)) = c_Groups_Ozero__class_Ozero(_u9354)) )).
% 43.38/43.64 cnf(matrix-4532, plain, ( ~class_Divides_Osemiring__div(_u9356) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9356), c_Divides_Odiv__class_Omod(_u9356, _u9357, _u9358)), _u9358) = c_Groups_Ozero__class_Ozero(_u9356)) )).
% 43.38/43.64 cnf(matrix-4533, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9359)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9359, _u9360)), _u9359)) )).
% 43.38/43.64 cnf(matrix-4534, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9361)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9362)) | 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, _u9361, _u9362))) )).
% 43.38/43.64 cnf(matrix-4535, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9363), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9363), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9364, _u9363))) )).
% 43.38/43.64 cnf(matrix-4536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9366, _u9365)), _u9365)) )).
% 43.38/43.64 cnf(matrix-4537, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9371, _u9373) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9371 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9373), skolem239(_u9373, _u9371))) )).
% 43.38/43.64 cnf(matrix-4538, plain, ( ( _u9372 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9374), _u9368)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9372, _u9374) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4539, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9375, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9376)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9375, _u9376) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4540, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9377), _u9378) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9377, _u9378) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4541, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9380), c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4542, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9381, c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = _u9381) )).
% 43.38/43.64 cnf(matrix-4543, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9382, _u9383)), _u9383) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4544, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9384), _u9385)), _u9386) = 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), _u9384), _u9386)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9385), _u9386))), 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, _u9384, _u9386)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9385, _u9386))), _u9386))) )).
% 43.38/43.64 cnf(matrix-4545, plain, ( ~class_Divides_Osemiring__div(_u9387) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9387), c_Divides_Odiv__class_Omod(_u9387, _u9388, _u9389)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9387), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9387), _u9388), _u9389)), _u9389)) = _u9388) )).
% 43.38/43.64 cnf(matrix-4546, plain, ( ~class_Divides_Osemiring__div(_u9390) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9390), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9390), _u9391), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9390), _u9392), _u9391))), c_Divides_Odiv__class_Omod(_u9390, _u9392, _u9391)) = _u9392) )).
% 43.38/43.64 cnf(matrix-4547, plain, ( ~class_Divides_Osemiring__div(_u9393) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9393), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9393), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9393), _u9394), _u9395)), _u9395)), c_Divides_Odiv__class_Omod(_u9393, _u9394, _u9395)) = _u9394) )).
% 43.38/43.64 cnf(matrix-4548, plain, ( ~class_Divides_Osemiring__div(_u9396) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9396), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9396), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9396), _u9397), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9396), _u9398), _u9397))), c_Divides_Odiv__class_Omod(_u9396, _u9398, _u9397))), _u9399) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9396), _u9398), _u9399)) )).
% 43.38/43.64 cnf(matrix-4549, plain, ( ~class_Divides_Osemiring__div(_u9400) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9400), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9400), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9400), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u9400), _u9401), _u9402)), _u9402)), c_Divides_Odiv__class_Omod(_u9400, _u9401, _u9402))), _u9403) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9400), _u9401), _u9403)) )).
% 43.38/43.64 cnf(matrix-4550, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9404), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9405), _u9404)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9404, _u9405) = _u9404) )).
% 43.38/43.64 cnf(matrix-4551, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9406), 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, _u9407, _u9406)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4552, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9406), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9406), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9407, _u9406))) )).
% 43.38/43.64 cnf(matrix-4553, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9408), 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, _u9409, _u9408)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4554, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9410)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9410), _u9411)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9410, _u9411) = _u9410) )).
% 43.38/43.64 cnf(matrix-4555, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9412)) | 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, _u9413, _u9412))) )).
% 43.38/43.64 cnf(matrix-4556, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9412)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9413, _u9412)), _u9412)) )).
% 43.38/43.64 cnf(matrix-4557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9414)) | 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, _u9415, _u9414))) )).
% 43.38/43.64 cnf(matrix-4558, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9418, _u9420) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9418, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9420)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4559, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9419, _u9421) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9419, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9421)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9419, _u9421)), _u9421)) )).
% 43.38/43.64 cnf(matrix-4560, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9424, _u9426) != 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), _u9424), _u9426) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4561, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9425, _u9427) = 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), _u9425), _u9427) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9427), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9425, _u9427))) )).
% 43.38/43.64 cnf(matrix-4562, plain, ( ( _u9428 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9429), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9428), _u9429))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9428, _u9429))) )).
% 43.38/43.64 cnf(matrix-4563, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9430), _u9431)), _u9432) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9430), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9431), _u9432))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9430), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9431, _u9432))), _u9432))) )).
% 43.38/43.64 cnf(matrix-4564, 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), _u9433), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9434), _u9433))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9434, _u9433))), _u9435) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9434), _u9435)) )).
% 43.38/43.64 cnf(matrix-4565, 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), _u9436), _u9437)), _u9437)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9436, _u9437))), _u9438) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9436), _u9438)) )).
% 43.38/43.64 cnf(matrix-4566, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9439), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9440), _u9439)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9440), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9440, _u9439))) )).
% 43.38/43.64 cnf(matrix-4567, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9441, _u9442) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9441), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9441), _u9442)), _u9442))) )).
% 43.38/43.64 cnf(matrix-4568, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9443)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9443), _u9444)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9443, _u9444) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9443), _u9444)) )).
% 43.38/43.64 cnf(matrix-4569, plain, ( ( _u9445 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9446), _u9447)), _u9448)) | ( _u9446 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9445, _u9446) = _u9448) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9446), _u9448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4570, plain, ( ( _u9445 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9446), _u9447)), _u9448)) | ( _u9446 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9445, _u9446) = _u9448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9448), _u9446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9446)) )).
% 43.38/43.64 cnf(matrix-4571, plain, ( ( _u9445 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9446), _u9447)), _u9448)) | ( _u9446 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9445, _u9446) = _u9448) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9448), _u9446)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9446), _u9448)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9448), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4572, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9449)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9450), _u9451)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9451), 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), _u9450), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9452, _u9449))), _u9451)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4573, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9453)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9454), _u9455)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9455), 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), _u9454), _u9453)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9454), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9456, _u9453))), _u9455))) )).
% 43.38/43.64 cnf(matrix-4574, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9457)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9458)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9458), _u9459)) | 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), _u9459), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9460, _u9457))), _u9458)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9459), _u9457))) )).
% 43.38/43.64 cnf(matrix-4575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9461)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9462), _u9463)) | 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), _u9463), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9464, _u9461))), _u9462))) )).
% 43.38/43.64 cnf(matrix-4576, plain, ( ~hBOOL(hAPP(_u9476, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9478, _u9480))) | ( _u9480 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(_u9476, _u9478)) )).
% 43.38/43.64 cnf(matrix-4577, plain, ( ~hBOOL(hAPP(_u9476, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9478, _u9480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9480)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9465)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9465), _u9480)) | ( _u9478 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9480), _u9466)), _u9465)) | hBOOL(hAPP(_u9476, _u9465)) )).
% 43.38/43.64 cnf(matrix-4578, plain, ( ~hBOOL(hAPP(_u9476, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9478, _u9480))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9480), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9480), _u9467)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9467), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9478 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9480), _u9468)), _u9467)) | hBOOL(hAPP(_u9476, _u9467)) )).
% 43.38/43.64 cnf(matrix-4579, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4580, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4581, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4582, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4583, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4584, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4585, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4586, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4587, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4588, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4589, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4590, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4591, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4592, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4593, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4594, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4595, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4596, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4597, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4598, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4599, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4600, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4601, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4602, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4603, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4604, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4605, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = 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)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4606, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4607, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4608, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ( _u9481 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4609, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4610, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4611, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4612, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4613, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9481), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4614, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4615, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4616, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4617, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4618, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem243(_u9481, _u9479, _u9477)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4619, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4620, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4621, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4622, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4623, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem242(_u9481, _u9479, _u9477))), skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4624, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4625, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4626, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem241(_u9481, _u9479, _u9477)), _u9481)) )).
% 43.38/43.64 cnf(matrix-4627, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ( _u9479 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9481), skolem240(_u9481, _u9479, _u9477))), skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4628, plain, ( hBOOL(hAPP(_u9477, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9479, _u9481))) | ~hBOOL(hAPP(_u9477, skolem243(_u9481, _u9479, _u9477))) | ~hBOOL(hAPP(_u9477, _u9479)) | ~hBOOL(hAPP(_u9477, skolem241(_u9481, _u9479, _u9477))) )).
% 43.38/43.64 cnf(matrix-4629, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9482)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9483, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9484), _u9482)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9484), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9483), _u9484), _u9482))), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9483, _u9484))) )).
% 43.38/43.64 cnf(matrix-4630, plain, ( ( _u9485 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9486, _u9485) != 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), _u9486)), _u9485) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9486), _u9485))) )).
% 43.38/43.64 cnf(matrix-4631, plain, ( ( _u9485 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9486, _u9485) = 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), _u9486)), _u9485) = 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), _u9486), _u9485))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4632, plain, ( ( _u9487 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9488, _u9487) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9488), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9487)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9488), _u9487))) )).
% 43.38/43.64 cnf(matrix-4633, plain, ( ( _u9487 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9488, _u9487) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9488), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9487)) = 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), _u9488), _u9487))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4634, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), _u9489)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9489), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u9495 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9493), _u9490)), _u9489)) | hBOOL(hAPP(hAPP(_u9494, _u9490), _u9489)) )).
% 43.38/43.64 cnf(matrix-4635, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), skolem245(_u9495, _u9494, _u9493))) )).
% 43.38/43.64 cnf(matrix-4636, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem245(_u9495, _u9494, _u9493)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4637, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | ( _u9495 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9493), skolem244(_u9495, _u9494, _u9493))), skolem245(_u9495, _u9494, _u9493))) )).
% 43.38/43.64 cnf(matrix-4638, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9493), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u9494, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u9495), _u9493)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9495, _u9493))) | ~hBOOL(hAPP(hAPP(_u9494, skolem244(_u9495, _u9494, _u9493)), skolem245(_u9495, _u9494, _u9493))) )).
% 43.38/43.64 cnf(matrix-4639, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9498)) | ( c_SMT_Oz3mod(_u9500, _u9498) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9500, _u9498)) )).
% 43.38/43.64 cnf(matrix-4640, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9499)) | ( c_SMT_Oz3mod(_u9501, _u9499) = c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9501, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9499))) )).
% 43.38/43.64 cnf(matrix-4641, plain, ( ( hAPP(hAPP(c_Nitpick_Oint__gcd, _u9502), _u9503) = 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), _u9502)), hAPP(c_Int_Onat, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u9503))))) )).
% 43.38/43.64 cnf(matrix-4642, plain, ( ~class_Groups_Osgn__if(_u9504) | ( _u9505 != c_Groups_Ozero__class_Ozero(_u9504)) | ( c_Groups_Osgn__class_Osgn(_u9504, _u9505) = c_Groups_Ozero__class_Ozero(_u9504)) )).
% 43.38/43.64 cnf(matrix-4643, plain, ( ~class_Groups_Osgn__if(_u9504) | ( _u9505 = c_Groups_Ozero__class_Ozero(_u9504)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9504), c_Groups_Ozero__class_Ozero(_u9504)), _u9505)) | ( c_Groups_Osgn__class_Osgn(_u9504, _u9505) = c_Groups_Oone__class_Oone(_u9504)) )).
% 43.38/43.64 cnf(matrix-4644, plain, ( ~class_Groups_Osgn__if(_u9504) | ( _u9505 = c_Groups_Ozero__class_Ozero(_u9504)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9504), c_Groups_Ozero__class_Ozero(_u9504)), _u9505)) | ( c_Groups_Osgn__class_Osgn(_u9504, _u9505) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9504), c_Groups_Oone__class_Oone(_u9504))) )).
% 43.38/43.64 cnf(matrix-4645, plain, ( ~class_Rings_Olinordered__idom(_u9506) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9506), _u9507), c_Groups_Ozero__class_Ozero(_u9506))) | ( c_Groups_Osgn__class_Osgn(_u9506, _u9507) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9506), c_Groups_Oone__class_Oone(_u9506))) )).
% 43.38/43.64 cnf(matrix-4646, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9508, _u9509)), _u9508)) )).
% 43.38/43.64 cnf(matrix-4647, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9510), _u9511)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9510, _u9511) = _u9510) )).
% 43.38/43.64 cnf(matrix-4648, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9512), _u9513) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9512, _u9513)), _u9513)) )).
% 43.38/43.64 cnf(matrix-4649, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9514), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9515, _u9516)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9514), _u9515), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9514), _u9516))) )).
% 43.38/43.64 cnf(matrix-4650, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9517, _u9518)), _u9519) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9517), _u9519), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9518), _u9519))) )).
% 43.38/43.64 cnf(matrix-4651, plain, ( ~class_Rings_Olinordered__idom(_u9520) | ( c_Groups_Osgn__class_Osgn(_u9520, c_Groups_Osgn__class_Osgn(_u9520, _u9521)) = c_Groups_Osgn__class_Osgn(_u9520, _u9521)) )).
% 43.38/43.64 cnf(matrix-4652, plain, ( ~class_Rings_Olinordered__idom(_u9522) | ( c_Groups_Osgn__class_Osgn(_u9522, _u9523) != c_Groups_Ozero__class_Ozero(_u9522)) | ( _u9523 = c_Groups_Ozero__class_Ozero(_u9522)) )).
% 43.38/43.64 cnf(matrix-4653, plain, ( ~class_Rings_Olinordered__idom(_u9522) | ( _u9523 != c_Groups_Ozero__class_Ozero(_u9522)) | ( c_Groups_Osgn__class_Osgn(_u9522, _u9523) = c_Groups_Ozero__class_Ozero(_u9522)) )).
% 43.38/43.64 cnf(matrix-4654, plain, ( ~class_Groups_Osgn__if(_u9524) | ( c_Groups_Osgn__class_Osgn(_u9524, c_Groups_Ozero__class_Ozero(_u9524)) = c_Groups_Ozero__class_Ozero(_u9524)) )).
% 43.38/43.64 cnf(matrix-4655, plain, ( ~class_Rings_Olinordered__idom(_u9525) | ( c_Groups_Osgn__class_Osgn(_u9525, hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9525), _u9526), _u9527)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9525), c_Groups_Osgn__class_Osgn(_u9525, _u9526)), c_Groups_Osgn__class_Osgn(_u9525, _u9527))) )).
% 43.38/43.64 cnf(matrix-4656, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9528, hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4657, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9531, _u9533)) != _u9533) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9531), _u9533) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4658, plain, ( ( hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9532, _u9534)) = _u9534) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9532), _u9534) = hAPP(c_Nat_OSuc, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9532, _u9534))) )).
% 43.38/43.64 cnf(matrix-4659, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9535)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9536, _u9535)), _u9535)) )).
% 43.38/43.64 cnf(matrix-4660, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9541, _u9543) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9541 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9543), skolem246(_u9543, _u9541))) )).
% 43.38/43.64 cnf(matrix-4661, plain, ( ( _u9542 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9544), _u9538)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9542, _u9544) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4662, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9547), _u9549)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9547, _u9549) = _u9547) )).
% 43.38/43.64 cnf(matrix-4663, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9548), _u9550)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9548, _u9550) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9548), _u9550), _u9550)) )).
% 43.38/43.64 cnf(matrix-4664, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9551), _u9552)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9551, _u9552) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9551), _u9552), _u9552)) )).
% 43.38/43.64 cnf(matrix-4665, 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), _u9553), _u9554)), _u9555), _u9554) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9555, _u9554)) )).
% 43.38/43.64 cnf(matrix-4666, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9556), _u9557)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9557, _u9556) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9557), _u9556), _u9556)) )).
% 43.38/43.64 cnf(matrix-4667, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9558, _u9559)) = c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9558), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9559))) )).
% 43.38/43.64 cnf(matrix-4668, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9560), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9561)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9560, _u9561))) )).
% 43.38/43.64 cnf(matrix-4669, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9562), _u9563)), _u9564) = 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), _u9562), _u9564)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9563), _u9564))), 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, _u9562, _u9564)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9563, _u9564))), _u9564))) )).
% 43.38/43.64 cnf(matrix-4670, plain, ( ( _u9567 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u9569, _u9567) = _u9569) )).
% 43.38/43.64 cnf(matrix-4671, plain, ( ( _u9568 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u9570, _u9568) = c_Nitpick_Onat__gcd(_u9568, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9570, _u9568))) )).
% 43.38/43.64 cnf(matrix-4672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9571)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9572, _u9571)), _u9571)) )).
% 43.38/43.64 cnf(matrix-4673, 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), _u9573), _u9574)), _u9575)), _u9574) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, _u9575), _u9574)) )).
% 43.38/43.64 cnf(matrix-4674, plain, ( ~class_Rings_Olinordered__idom(_u9576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), c_Groups_Osgn__class_Osgn(_u9576, _u9577)), c_Groups_Ozero__class_Ozero(_u9576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), _u9577), c_Groups_Ozero__class_Ozero(_u9576))) )).
% 43.38/43.64 cnf(matrix-4675, plain, ( ~class_Rings_Olinordered__idom(_u9576) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), _u9577), c_Groups_Ozero__class_Ozero(_u9576))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9576), c_Groups_Osgn__class_Osgn(_u9576, _u9577)), c_Groups_Ozero__class_Ozero(_u9576))) )).
% 43.38/43.64 cnf(matrix-4676, plain, ( ~class_Rings_Olinordered__idom(_u9578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), c_Groups_Osgn__class_Osgn(_u9578, _u9579))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), _u9579)) )).
% 43.38/43.64 cnf(matrix-4677, plain, ( ~class_Rings_Olinordered__idom(_u9578) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), _u9579)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9578), c_Groups_Ozero__class_Ozero(_u9578)), c_Groups_Osgn__class_Osgn(_u9578, _u9579))) )).
% 43.38/43.64 cnf(matrix-4678, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9580, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9581), _u9582)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9581), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9580), _u9581), _u9582))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9580, _u9581))) )).
% 43.38/43.64 cnf(matrix-4679, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9583), _u9584)), _u9585) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9583), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9584), _u9585))), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9583), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9584, _u9585))), _u9585))) )).
% 43.38/43.64 cnf(matrix-4680, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9586, _u9587) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9586), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9586), _u9587)), _u9587))) )).
% 43.38/43.64 cnf(matrix-4681, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9588), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9589), _u9588)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9589), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9589, _u9588))) )).
% 43.38/43.64 cnf(matrix-4682, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u9590), _u9591)), _u9591) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u9590), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9590, _u9591))) )).
% 43.38/43.64 cnf(matrix-4683, plain, ( ~class_Rings_Olinordered__idom(_u9592) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9592), c_Groups_Osgn__class_Osgn(_u9592, _u9593)), hAPP(c_Groups_Oabs__class_Oabs(_u9592), _u9593)) = _u9593) )).
% 43.38/43.64 cnf(matrix-4684, plain, ( ~class_Rings_Olinordered__idom(_u9594) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9594), _u9595) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9594), _u9595), c_Groups_Osgn__class_Osgn(_u9594, _u9595))) )).
% 43.38/43.64 cnf(matrix-4685, plain, ( ~hBOOL(hAPP(_u9603, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9605, _u9607))) | ( _u9607 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u9603, _u9605)) )).
% 43.38/43.64 cnf(matrix-4686, plain, ( ~hBOOL(hAPP(_u9603, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9605, _u9607))) | ( _u9607 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9596), _u9607)) | ( _u9605 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9607), _u9597)), _u9596)) | hBOOL(hAPP(_u9603, _u9596)) )).
% 43.38/43.64 cnf(matrix-4687, plain, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ( _u9608 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem248(_u9608, _u9606, _u9604)), _u9608)) )).
% 43.38/43.64 cnf(matrix-4688, plain, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ( _u9608 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u9606 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9608), skolem247(_u9608, _u9606, _u9604))), skolem248(_u9608, _u9606, _u9604))) )).
% 43.38/43.64 cnf(matrix-4689, plain, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ( _u9608 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u9604, skolem248(_u9608, _u9606, _u9604))) )).
% 43.38/43.64 cnf(matrix-4690, plain, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ~hBOOL(hAPP(_u9604, _u9606)) | ( _u9608 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4691, plain, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ~hBOOL(hAPP(_u9604, _u9606)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem248(_u9608, _u9606, _u9604)), _u9608)) )).
% 43.38/43.64 cnf(matrix-4692, plain, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ~hBOOL(hAPP(_u9604, _u9606)) | ( _u9606 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9608), skolem247(_u9608, _u9606, _u9604))), skolem248(_u9608, _u9606, _u9604))) )).
% 43.38/43.64 cnf(matrix-4693, plain, ( hBOOL(hAPP(_u9604, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9606, _u9608))) | ~hBOOL(hAPP(_u9604, _u9606)) | ~hBOOL(hAPP(_u9604, skolem248(_u9608, _u9606, _u9604))) )).
% 43.38/43.64 cnf(matrix-4694, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u9609)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9610), _u9611)) | 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), _u9611), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9612, _u9609))), _u9610)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9611), _u9609))) )).
% 43.38/43.64 cnf(matrix-4695, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u9613)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9613), _u9614)), _u9613) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9615)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9616)) | ( hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9615, _u9616)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9615), hAPP(c_Int_Onat, _u9616))) )).
% 43.38/43.64 cnf(matrix-4697, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9617)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9618)) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onat, _u9617), hAPP(c_Int_Onat, _u9618)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, _u9617, _u9618))) )).
% 43.38/43.64 cnf(matrix-4698, plain, ( ~class_Rings_Olinordered__idom(_u9619) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9619), c_Groups_Ozero__class_Ozero(_u9619)), _u9620)) | ( c_Groups_Osgn__class_Osgn(_u9619, _u9620) = c_Groups_Oone__class_Oone(_u9619)) )).
% 43.38/43.64 cnf(matrix-4699, plain, ( ~class_Rings_Olinordered__idom(_u9621) | ( c_Groups_Osgn__class_Osgn(_u9621, _u9622) != c_Groups_Oone__class_Oone(_u9621)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9621), c_Groups_Ozero__class_Ozero(_u9621)), _u9622)) )).
% 43.38/43.64 cnf(matrix-4700, plain, ( ~class_Rings_Olinordered__idom(_u9621) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9621), c_Groups_Ozero__class_Ozero(_u9621)), _u9622)) | ( c_Groups_Osgn__class_Osgn(_u9621, _u9622) = c_Groups_Oone__class_Oone(_u9621)) )).
% 43.38/43.64 cnf(matrix-4701, plain, ( ( _u9624 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9624) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4702, plain, ( ( _u9625 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9625)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9625) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4703, plain, ( ( _u9625 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u9625)) | ( c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u9625) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4704, plain, ( ~class_Rings_Olinordered__idom(_u9626) | ( c_Groups_Osgn__class_Osgn(_u9626, _u9627) != hAPP(c_Groups_Ouminus__class_Ouminus(_u9626), c_Groups_Oone__class_Oone(_u9626))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9626), _u9627), c_Groups_Ozero__class_Ozero(_u9626))) )).
% 43.38/43.64 cnf(matrix-4705, plain, ( ~class_Rings_Olinordered__idom(_u9626) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9626), _u9627), c_Groups_Ozero__class_Ozero(_u9626))) | ( c_Groups_Osgn__class_Osgn(_u9626, _u9627) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9626), c_Groups_Oone__class_Oone(_u9626))) )).
% 43.38/43.64 cnf(matrix-4706, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9629), _u9630)) | 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(_u9629, tc_Nat_Onat), _u9631), _u9630))) | hBOOL(hAPP(hAPP(c_member(_u9629), skolem249(_u9631, _u9630, _u9629)), _u9630)) )).
% 43.38/43.64 cnf(matrix-4707, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9629), _u9630)) | 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(_u9629, tc_Nat_Onat), _u9631), _u9630))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), hAPP(_u9631, skolem249(_u9631, _u9630, _u9629)))) )).
% 43.38/43.64 cnf(matrix-4708, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9632), _u9633)) | ~c_Fun_Oinj__on(_u9632, tc_fun(tc_fun(_u9632, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u9632, tc_fun(tc_prod(_u9632, _u9632), tc_HOL_Obool), tc_fun(tc_fun(_u9632, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9632, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u9632, _u9632), tc_HOL_Obool), tc_fun(tc_fun(_u9632, tc_HOL_Obool), tc_HOL_Obool)), _u9632), c_Equiv__Relations_Oquotient(_u9632)), hAPP(hAPP(c_COMBC(_u9632, tc_fun(_u9632, tc_HOL_Obool), tc_fun(_u9632, tc_HOL_Obool)), c_Set_Oinsert(_u9632)), c_Orderings_Obot__class_Obot(tc_fun(_u9632, tc_HOL_Obool))))), _u9634), _u9633) | ( hAPP(c_Finite__Set_Ocard(tc_fun(_u9632, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9632), _u9633), _u9634)) = hAPP(c_Finite__Set_Ocard(_u9632), _u9633)) )).
% 43.38/43.64 cnf(matrix-4709, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), _u9637)) | ( hAPP(c_Finite__Set_Ocard(_u9636), _u9637) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u9636), skolem250(_u9637, _u9636)), _u9637)) )).
% 43.38/43.64 cnf(matrix-4710, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9636), _u9637)) | ( hAPP(c_Finite__Set_Ocard(_u9636), _u9637) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Groups_Oone__class_Oone(tc_Nat_Onat) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4711, plain, ( ~class_Groups_Oab__semigroup__mult(_u9639) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9640), _u9641)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9639, _u9640, c_Groups_Otimes__class_Otimes(_u9639)), _u9642), _u9644), _u9641) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9639, _u9640, c_Groups_Otimes__class_Otimes(_u9639)), _u9643), _u9644), _u9641)) | hBOOL(hAPP(hAPP(c_member(_u9640), skolem251(_u9644, _u9643, _u9642, _u9641, _u9640, _u9639)), _u9641)) )).
% 43.38/43.64 cnf(matrix-4712, plain, ( ~class_Groups_Oab__semigroup__mult(_u9639) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9640), _u9641)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9639, _u9640, c_Groups_Otimes__class_Otimes(_u9639)), _u9642), _u9644), _u9641) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u9639, _u9640, c_Groups_Otimes__class_Otimes(_u9639)), _u9643), _u9644), _u9641)) | ( hAPP(_u9642, skolem251(_u9644, _u9643, _u9642, _u9641, _u9640, _u9639)) != hAPP(_u9643, skolem251(_u9644, _u9643, _u9642, _u9641, _u9640, _u9639))) )).
% 43.38/43.64 cnf(matrix-4713, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9645), c_Orderings_Obot__class_Obot(tc_fun(_u9645, tc_HOL_Obool))), _u9646) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9645, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-4714, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9650, tc_HOL_Obool), tc_HOL_Obool)) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9650), _u9652), _u9654)) | ( _u9652 = c_Orderings_Obot__class_Obot(tc_fun(_u9650, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-4715, plain, ( ( _u9653 != c_Orderings_Obot__class_Obot(tc_fun(_u9651, tc_HOL_Obool))) | ( c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9651, tc_HOL_Obool), tc_HOL_Obool)) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9651), _u9653), _u9655)) )).
% 43.38/43.64 cnf(matrix-4716, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9659), _u9661), _u9663) != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9659, tc_HOL_Obool), tc_HOL_Obool))) | ( _u9661 = c_Orderings_Obot__class_Obot(tc_fun(_u9659, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-4717, plain, ( ( _u9662 != c_Orderings_Obot__class_Obot(tc_fun(_u9660, tc_HOL_Obool))) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9660), _u9662), _u9664) = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9660, tc_HOL_Obool), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-4718, plain, ( ~c_Fun_Oinj__on(_u9665, tc_fun(tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u9665, tc_fun(tc_prod(_u9665, _u9665), tc_HOL_Obool), tc_fun(tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9665, tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u9665, _u9665), tc_HOL_Obool), tc_fun(tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool)), _u9665), c_Equiv__Relations_Oquotient(_u9665)), hAPP(hAPP(c_COMBC(_u9665, tc_fun(_u9665, tc_HOL_Obool), tc_fun(_u9665, tc_HOL_Obool)), c_Set_Oinsert(_u9665)), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))))), _u9666), _u9667) | ~hBOOL(hAPP(hAPP(c_member(_u9665), _u9668), _u9667)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9665), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u9665, tc_HOL_Obool)), _u9667), hAPP(hAPP(c_Set_Oinsert(_u9665), _u9668), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool))))), _u9666) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_fun(_u9665, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9665), _u9667), _u9666)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9665), hAPP(hAPP(c_Set_Oinsert(_u9665), _u9668), c_Orderings_Obot__class_Obot(tc_fun(_u9665, tc_HOL_Obool)))), _u9666))) )).
% 43.38/43.64 cnf(matrix-4719, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9669), _u9670), _u9671) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9669, tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool)), _u9670), hAPP(hAPP(c_COMBC(_u9669, tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u9669, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool)), _u9669), c_Set_Oinsert(tc_fun(_u9669, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u9669, tc_HOL_Obool), tc_fun(_u9669, tc_HOL_Obool), _u9669), c_Relation_OImage(_u9669, _u9669, _u9671)), hAPP(hAPP(c_COMBC(_u9669, tc_fun(_u9669, tc_HOL_Obool), tc_fun(_u9669, tc_HOL_Obool)), c_Set_Oinsert(_u9669)), c_Orderings_Obot__class_Obot(tc_fun(_u9669, tc_HOL_Obool)))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9669, tc_HOL_Obool), tc_HOL_Obool))))) )).
% 43.38/43.64 cnf(matrix-4720, plain, ( ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9672), hAPP(hAPP(c_Set_Oinsert(_u9672), _u9673), c_Orderings_Obot__class_Obot(tc_fun(_u9672, tc_HOL_Obool)))), _u9674) = hAPP(hAPP(c_Set_Oinsert(tc_fun(_u9672, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9672, _u9672, _u9674), hAPP(hAPP(c_Set_Oinsert(_u9672), _u9673), c_Orderings_Obot__class_Obot(tc_fun(_u9672, tc_HOL_Obool))))), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u9672, tc_HOL_Obool), tc_HOL_Obool)))) )).
% 43.38/43.64 cnf(matrix-4721, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u9675), _u9676), _u9677)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u9675, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9675, _u9675, _u9678), hAPP(hAPP(c_Set_Oinsert(_u9675), _u9676), c_Orderings_Obot__class_Obot(tc_fun(_u9675, tc_HOL_Obool))))), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9675), _u9677), _u9678))) )).
% 43.38/43.64 cnf(matrix-4722, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9680, _u9681) != c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u9682, _u9681)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u9682), _u9680)) | ( _u9680 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u9682), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u9681), skolem252(_u9682, _u9681, _u9680)))) )).
% 43.38/43.64 cnf(matrix-4723, plain, ( ( hAPP(c_Relation_OImage(_u9683, _u9684, _u9685), _u9686) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9683, tc_fun(_u9684, tc_HOL_Obool)), _u9686), hAPP(hAPP(c_COMBB(tc_fun(_u9683, tc_HOL_Obool), tc_fun(_u9684, tc_HOL_Obool), _u9683), c_Relation_OImage(_u9683, _u9684, _u9685)), hAPP(hAPP(c_COMBC(_u9683, tc_fun(_u9683, tc_HOL_Obool), tc_fun(_u9683, tc_HOL_Obool)), c_Set_Oinsert(_u9683)), c_Orderings_Obot__class_Obot(tc_fun(_u9683, tc_HOL_Obool)))))) )).
% 43.38/43.64 cnf(matrix-4724, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9687, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9688, _u9687, _u9689), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9688, tc_HOL_Obool)), _u9690), _u9691))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u9687, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9688, _u9687, _u9689), _u9690)), hAPP(c_Relation_OImage(_u9688, _u9687, _u9689), _u9691)))) )).
% 43.38/43.64 cnf(matrix-4725, plain, ( ( hAPP(c_Relation_OImage(_u9692, _u9693, _u9694), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9692, tc_HOL_Obool)), _u9696), _u9697)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u9695, tc_fun(_u9693, tc_HOL_Obool)), _u9696), hAPP(hAPP(c_COMBB(tc_fun(_u9692, tc_HOL_Obool), tc_fun(_u9693, tc_HOL_Obool), _u9695), c_Relation_OImage(_u9692, _u9693, _u9694)), _u9697))) )).
% 43.38/43.64 cnf(matrix-4726, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9699, tc_HOL_Obool)), _u9700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9699), _u9701), _u9702))) | ( _u9700 = hAPP(c_Relation_OImage(_u9699, _u9699, _u9702), hAPP(hAPP(c_Set_Oinsert(_u9699), skolem253(_u9702, _u9701, _u9700, _u9699)), c_Orderings_Obot__class_Obot(tc_fun(_u9699, tc_HOL_Obool))))) )).
% 43.38/43.64 cnf(matrix-4727, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u9699, tc_HOL_Obool)), _u9700), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u9699), _u9701), _u9702))) | hBOOL(hAPP(hAPP(c_member(_u9699), skolem253(_u9702, _u9701, _u9700, _u9699)), _u9701)) )).
% 43.38/43.64 cnf(matrix-4728, plain, ( ( hAPP(c_Relation_OImage(_u9703, _u9704, _u9705), c_Orderings_Obot__class_Obot(tc_fun(_u9703, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u9704, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-4729, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9706, _u9707), tc_HOL_Obool)), _u9708), _u9709)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9706, tc_HOL_Obool)), _u9710), _u9711)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u9707, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9706, _u9707, _u9708), _u9710)), hAPP(c_Relation_OImage(_u9706, _u9707, _u9709), _u9711))) )).
% 43.38/43.64 cnf(matrix-4730, plain, ( ( hAPP(c_Relation_OImage(_u9712, _u9713, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u9712, _u9713), tc_HOL_Obool)), _u9714), _u9715)), _u9716) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9713, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9712, _u9713, _u9714), _u9716)), hAPP(c_Relation_OImage(_u9712, _u9713, _u9715), _u9716))) )).
% 43.38/43.64 cnf(matrix-4731, plain, ( ( hAPP(c_Relation_OImage(_u9717, _u9718, _u9719), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9717, tc_HOL_Obool)), _u9720), _u9721)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u9718, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u9717, _u9718, _u9719), _u9720)), hAPP(c_Relation_OImage(_u9717, _u9718, _u9719), _u9721))) )).
% 43.38/43.64 cnf(matrix-4732, plain, ( ~hBOOL(hAPP(_u9724, _u9725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9725), _u9723)) | hBOOL(hAPP(_u9724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem254(_u9725, _u9724, _u9723)), _u9723)) )).
% 43.38/43.64 cnf(matrix-4733, plain, ( ~hBOOL(hAPP(_u9724, _u9725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9725), _u9723)) | hBOOL(hAPP(_u9724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | hBOOL(hAPP(_u9724, skolem254(_u9725, _u9724, _u9723))) )).
% 43.38/43.64 cnf(matrix-4734, plain, ( ~hBOOL(hAPP(_u9724, _u9725)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u9725), _u9723)) | hBOOL(hAPP(_u9724, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) | ~hBOOL(hAPP(_u9724, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, skolem254(_u9725, _u9724, _u9723)), _u9723))) )).
% 43.38/43.64 cnf(matrix-4735, plain, ( ~class_Orderings_Olinorder(_u9727) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), _u9728)) | ~hBOOL(hAPP(hAPP(c_member(_u9727), _u9729), _u9728)) | ( c_Big__Operators_Olinorder__class_OMax(_u9727, _u9728) = _u9729) | hBOOL(hAPP(hAPP(c_member(_u9727), skolem255(_u9729, _u9728, _u9727)), _u9728)) )).
% 43.38/43.64 cnf(matrix-4736, plain, ( ~class_Orderings_Olinorder(_u9727) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9727), _u9728)) | ~hBOOL(hAPP(hAPP(c_member(_u9727), _u9729), _u9728)) | ( c_Big__Operators_Olinorder__class_OMax(_u9727, _u9728) = _u9729) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9727), skolem255(_u9729, _u9728, _u9727)), _u9729)) )).
% 43.38/43.64 cnf(matrix-4737, plain, ( ~class_Orderings_Olinorder(_u9731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9731), _u9732)) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9733), _u9732)) | ( c_Big__Operators_Olinorder__class_OMin(_u9731, _u9732) = _u9733) | hBOOL(hAPP(hAPP(c_member(_u9731), skolem256(_u9733, _u9732, _u9731)), _u9732)) )).
% 43.38/43.64 cnf(matrix-4738, plain, ( ~class_Orderings_Olinorder(_u9731) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u9731), _u9732)) | ~hBOOL(hAPP(hAPP(c_member(_u9731), _u9733), _u9732)) | ( c_Big__Operators_Olinorder__class_OMin(_u9731, _u9732) = _u9733) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9731), _u9733), skolem256(_u9733, _u9732, _u9731))) )).
% 43.38/43.64 cnf(matrix-4739, 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), _u9734))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9734) = hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9734)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.38/43.64 cnf(matrix-4740, plain, ( ~class_Int_Onumber__ring(_u9735) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9735), _u9736) = hAPP(c_Int_Oring__1__class_Oof__int(_u9735), _u9736)) )).
% 43.38/43.64 cnf(matrix-4741, 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)) )).
% 43.38/43.64 cnf(matrix-4742, plain, ( ( _u9739 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u9740, _u9740), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u9740, _u9740), tc_HOL_Obool)), _u9739), _u9741)) )).
% 43.38/43.64 cnf(matrix-4743, plain, ( ~class_Int_Onumber(_u9742) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9742), _u9743) != _u9744) | ( _u9744 = hAPP(c_Int_Onumber__class_Onumber__of(_u9742), _u9743)) )).
% 43.38/43.64 cnf(matrix-4744, plain, ( ~class_Int_Onumber(_u9742) | ( _u9744 != hAPP(c_Int_Onumber__class_Onumber__of(_u9742), _u9743)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9742), _u9743) = _u9744) )).
% 43.38/43.64 cnf(matrix-4745, plain, ( ~class_Int_Onumber__ring(_u9745) | ~class_Int_Oring__char__0(_u9745) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9745), _u9746) != hAPP(c_Int_Onumber__class_Onumber__of(_u9745), _u9747)) | ( _u9746 = _u9747) )).
% 43.38/43.64 cnf(matrix-4746, plain, ( ~class_Int_Onumber__ring(_u9745) | ~class_Int_Oring__char__0(_u9745) | ( _u9746 != _u9747) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9745), _u9746) = hAPP(c_Int_Onumber__class_Onumber__of(_u9745), _u9747)) )).
% 43.38/43.64 cnf(matrix-4747, plain, ( ~class_Int_Onumber__ring(_u9748) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9749))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9748), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9749)) = c_Groups_Ozero__class_Ozero(_u9748)) )).
% 43.38/43.64 cnf(matrix-4748, plain, ( ~class_Int_Onumber__ring(_u9748) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9749))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9748), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9749)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9748), _u9749)) )).
% 43.38/43.64 cnf(matrix-4749, plain, ( ~class_Int_Onumber__ring(_u9750) | ~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), _u9751))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9750), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9751)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9750), _u9751)) )).
% 43.38/43.64 cnf(matrix-4750, plain, ( ~class_Int_Onumber__ring(_u9750) | 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), _u9751))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u9750), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9751)) = c_Groups_Ozero__class_Ozero(_u9750)) )).
% 43.38/43.64 cnf(matrix-4751, plain, ( ~class_Int_Onumber(_u9752) | ~class_Orderings_Olinorder(_u9752) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9752), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9753)), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9754))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9752), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9754)), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9753))) )).
% 43.38/43.64 cnf(matrix-4752, plain, ( ~class_Int_Onumber(_u9752) | ~class_Orderings_Olinorder(_u9752) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9752), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9754)), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9753))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9752), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9753)), hAPP(c_Int_Onumber__class_Onumber__of(_u9752), _u9754))) )).
% 43.38/43.64 cnf(matrix-4753, plain, ( ~class_Int_Onumber(_u9755) | ~class_Rings_Osemiring(_u9755) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9755), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9755), _u9756), _u9757)), hAPP(c_Int_Onumber__class_Onumber__of(_u9755), _u9758)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9755), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9755), _u9756), hAPP(c_Int_Onumber__class_Onumber__of(_u9755), _u9758))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9755), _u9757), hAPP(c_Int_Onumber__class_Onumber__of(_u9755), _u9758)))) )).
% 43.38/43.64 cnf(matrix-4754, plain, ( ~class_Int_Onumber(_u9759) | ~class_Rings_Osemiring(_u9759) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9759), hAPP(c_Int_Onumber__class_Onumber__of(_u9759), _u9760)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9759), _u9761), _u9762)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9759), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9759), hAPP(c_Int_Onumber__class_Onumber__of(_u9759), _u9760)), _u9761)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9759), hAPP(c_Int_Onumber__class_Onumber__of(_u9759), _u9760)), _u9762))) )).
% 43.38/43.64 cnf(matrix-4755, plain, ( ~class_Int_Onumber(_u9763) | ~class_Rings_Oring(_u9763) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9763), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9763), _u9764), _u9765)), hAPP(c_Int_Onumber__class_Onumber__of(_u9763), _u9766)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9763), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9763), _u9764), hAPP(c_Int_Onumber__class_Onumber__of(_u9763), _u9766))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9763), _u9765), hAPP(c_Int_Onumber__class_Onumber__of(_u9763), _u9766)))) )).
% 43.38/43.64 cnf(matrix-4756, plain, ( ~class_Int_Onumber(_u9767) | ~class_Rings_Oring(_u9767) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9767), hAPP(c_Int_Onumber__class_Onumber__of(_u9767), _u9768)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9767), _u9769), _u9770)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9767), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9767), hAPP(c_Int_Onumber__class_Onumber__of(_u9767), _u9768)), _u9769)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9767), hAPP(c_Int_Onumber__class_Onumber__of(_u9767), _u9768)), _u9770))) )).
% 43.38/43.64 cnf(matrix-4757, plain, ( ~class_Int_Onumber__ring(_u9771) | ~class_Rings_Olinordered__idom(_u9771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9771), hAPP(c_Int_Onumber__class_Onumber__of(_u9771), _u9772)), hAPP(c_Int_Onumber__class_Onumber__of(_u9771), _u9773))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9772), _u9773)) )).
% 43.38/43.64 cnf(matrix-4758, plain, ( ~class_Int_Onumber__ring(_u9771) | ~class_Rings_Olinordered__idom(_u9771) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9772), _u9773)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9771), hAPP(c_Int_Onumber__class_Onumber__of(_u9771), _u9772)), hAPP(c_Int_Onumber__class_Onumber__of(_u9771), _u9773))) )).
% 43.38/43.64 cnf(matrix-4759, plain, ( ~class_Int_Onumber__ring(_u9774) | ~class_Rings_Olinordered__idom(_u9774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9774), hAPP(c_Int_Onumber__class_Onumber__of(_u9774), _u9775)), hAPP(c_Int_Onumber__class_Onumber__of(_u9774), _u9776))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9775), _u9776)) )).
% 43.38/43.64 cnf(matrix-4760, plain, ( ~class_Int_Onumber__ring(_u9774) | ~class_Rings_Olinordered__idom(_u9774) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9775), _u9776)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9774), hAPP(c_Int_Onumber__class_Onumber__of(_u9774), _u9775)), hAPP(c_Int_Onumber__class_Onumber__of(_u9774), _u9776))) )).
% 43.38/43.64 cnf(matrix-4761, plain, ( ~class_Int_Onumber(_u9777) | ~class_Orderings_Oord(_u9777) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9777), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9777), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)) )).
% 43.38/43.64 cnf(matrix-4762, plain, ( ~class_Int_Onumber(_u9777) | ~class_Orderings_Oord(_u9777) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9777), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omin(_u9777), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9778)), hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9777), _u9779)) )).
% 43.38/43.64 cnf(matrix-4763, plain, ( ~class_Int_Onumber(_u9780) | ~class_Orderings_Oord(_u9780) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9780), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9780), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782)) )).
% 43.38/43.64 cnf(matrix-4764, plain, ( ~class_Int_Onumber(_u9780) | ~class_Orderings_Oord(_u9780) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9780), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782))) | ( hAPP(hAPP(c_Orderings_Oord__class_Omax(_u9780), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)), hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9782)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9780), _u9781)) )).
% 43.38/43.64 cnf(matrix-4765, plain, ( ~class_Int_Onumber__ring(_u9783) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9783), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9784), _u9785)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9783), hAPP(c_Int_Onumber__class_Onumber__of(_u9783), _u9784)), hAPP(c_Int_Onumber__class_Onumber__of(_u9783), _u9785))) )).
% 43.38/43.64 cnf(matrix-4766, plain, ( ~class_Int_Onumber__ring(_u9786) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9786), hAPP(c_Int_Onumber__class_Onumber__of(_u9786), _u9787)), hAPP(c_Int_Onumber__class_Onumber__of(_u9786), _u9788)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9786), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9787), _u9788))) )).
% 43.38/43.64 cnf(matrix-4767, plain, ( ~class_Int_Onumber__ring(_u9789) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9789), hAPP(c_Int_Onumber__class_Onumber__of(_u9789), _u9790)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9789), hAPP(c_Int_Onumber__class_Onumber__of(_u9789), _u9791)), _u9792)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9789), hAPP(c_Int_Onumber__class_Onumber__of(_u9789), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9790), _u9791))), _u9792)) )).
% 43.38/43.64 cnf(matrix-4768, plain, ( ~class_Int_Onumber__ring(_u9793) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9793), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9794), _u9795)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9793), hAPP(c_Int_Onumber__class_Onumber__of(_u9793), _u9794)), hAPP(c_Int_Onumber__class_Onumber__of(_u9793), _u9795))) )).
% 43.38/43.64 cnf(matrix-4769, plain, ( ~class_Int_Onumber__ring(_u9796) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9796), hAPP(c_Int_Onumber__class_Onumber__of(_u9796), _u9797)), hAPP(c_Int_Onumber__class_Onumber__of(_u9796), _u9798)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9796), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9797), _u9798))) )).
% 43.38/43.64 cnf(matrix-4770, plain, ( ~class_Int_Onumber__ring(_u9799) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9799), hAPP(c_Int_Onumber__class_Onumber__of(_u9799), _u9800)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9799), hAPP(c_Int_Onumber__class_Onumber__of(_u9799), _u9801)), _u9802)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9799), hAPP(c_Int_Onumber__class_Onumber__of(_u9799), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9800), _u9801))), _u9802)) )).
% 43.38/43.64 cnf(matrix-4771, plain, ( ~class_Int_Onumber__ring(_u9803) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9803), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u9804), _u9805)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9803), hAPP(c_Int_Onumber__class_Onumber__of(_u9803), _u9804)), hAPP(c_Int_Onumber__class_Onumber__of(_u9803), _u9805))) )).
% 43.38/43.64 cnf(matrix-4772, plain, ( ~class_Int_Onumber__ring(_u9806) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u9806), hAPP(c_Int_Onumber__class_Onumber__of(_u9806), _u9807)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9806), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9807))) )).
% 43.38/43.64 cnf(matrix-4773, plain, ( ~class_Int_Onumber__ring(_u9808) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9808), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9809)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9808), hAPP(c_Int_Onumber__class_Onumber__of(_u9808), _u9809))) )).
% 43.38/43.64 cnf(matrix-4774, plain, ( ~class_Int_Onumber__ring(_u9810) | hBOOL(hAPP(hAPP(c_member(_u9810), hAPP(c_Int_Onumber__class_Onumber__of(_u9810), _u9811)), c_Int_Oring__1__class_OInts(_u9810))) )).
% 43.38/43.64 cnf(matrix-4775, plain, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) != _u9815) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814) = c_Groups_Ozero__class_Ozero(_u9812)) | ( _u9813 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9812), _u9815), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814))) )).
% 43.38/43.64 cnf(matrix-4776, plain, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) != _u9815) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814) != c_Groups_Ozero__class_Ozero(_u9812)) | ( _u9815 = c_Groups_Ozero__class_Ozero(_u9812)) )).
% 43.38/43.64 cnf(matrix-4777, plain, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) = _u9815) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814) != c_Groups_Ozero__class_Ozero(_u9812)) | ( _u9815 != c_Groups_Ozero__class_Ozero(_u9812)) )).
% 43.38/43.64 cnf(matrix-4778, plain, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) = _u9815) | ( _u9813 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9812), _u9815), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814) = c_Groups_Ozero__class_Ozero(_u9812)) )).
% 43.38/43.64 cnf(matrix-4779, plain, ( ~class_Fields_Ofield__inverse__zero(_u9812) | ~class_Int_Onumber(_u9812) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9812), _u9813), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814)) = _u9815) | ( _u9813 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9812), _u9815), hAPP(c_Int_Onumber__class_Onumber__of(_u9812), _u9814))) | ( _u9815 != c_Groups_Ozero__class_Ozero(_u9812)) )).
% 43.38/43.64 cnf(matrix-4780, plain, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) != hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9818 = c_Groups_Ozero__class_Ozero(_u9816)) | ( _u9817 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9816), hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)), _u9818)) )).
% 43.38/43.64 cnf(matrix-4781, plain, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) != hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9818 != c_Groups_Ozero__class_Ozero(_u9816)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819) = c_Groups_Ozero__class_Ozero(_u9816)) )).
% 43.38/43.64 cnf(matrix-4782, plain, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) = hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9818 != c_Groups_Ozero__class_Ozero(_u9816)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819) != c_Groups_Ozero__class_Ozero(_u9816)) )).
% 43.38/43.64 cnf(matrix-4783, plain, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) = hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9817 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9816), hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)), _u9818)) | ( _u9818 = c_Groups_Ozero__class_Ozero(_u9816)) )).
% 43.38/43.64 cnf(matrix-4784, plain, ( ~class_Fields_Ofield__inverse__zero(_u9816) | ~class_Int_Onumber(_u9816) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9816), _u9817), _u9818) = hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)) | ( _u9817 != hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9816), hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819)), _u9818)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9816), _u9819) != c_Groups_Ozero__class_Ozero(_u9816)) )).
% 43.38/43.64 cnf(matrix-4785, plain, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( _u9823 = c_Groups_Ozero__class_Ozero(_u9820)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9820), hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821)), _u9823) = _u9822) )).
% 43.38/43.64 cnf(matrix-4786, plain, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( _u9823 != c_Groups_Ozero__class_Ozero(_u9820)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) = c_Groups_Ozero__class_Ozero(_u9820)) )).
% 43.38/43.64 cnf(matrix-4787, plain, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( _u9823 != c_Groups_Ozero__class_Ozero(_u9820)) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) != c_Groups_Ozero__class_Ozero(_u9820)) )).
% 43.38/43.64 cnf(matrix-4788, plain, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9820), hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821)), _u9823) != _u9822) | ( _u9823 = c_Groups_Ozero__class_Ozero(_u9820)) )).
% 43.38/43.64 cnf(matrix-4789, plain, ( ~class_Fields_Ofield__inverse__zero(_u9820) | ~class_Int_Onumber(_u9820) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9820), _u9822), _u9823)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9820), hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821)), _u9823) != _u9822) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9820), _u9821) != c_Groups_Ozero__class_Ozero(_u9820)) )).
% 43.38/43.64 cnf(matrix-4790, plain, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827) = c_Groups_Ozero__class_Ozero(_u9824)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9824), _u9825), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827)) = _u9826) )).
% 43.38/43.64 cnf(matrix-4791, plain, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 != hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827) != c_Groups_Ozero__class_Ozero(_u9824)) | ( _u9825 = c_Groups_Ozero__class_Ozero(_u9824)) )).
% 43.38/43.64 cnf(matrix-4792, plain, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827) != c_Groups_Ozero__class_Ozero(_u9824)) | ( _u9825 != c_Groups_Ozero__class_Ozero(_u9824)) )).
% 43.38/43.64 cnf(matrix-4793, plain, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9824), _u9825), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827)) != _u9826) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827) = c_Groups_Ozero__class_Ozero(_u9824)) )).
% 43.38/43.64 cnf(matrix-4794, plain, ( ~class_Fields_Ofield__inverse__zero(_u9824) | ~class_Int_Onumber(_u9824) | ( _u9825 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9824), _u9826), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9824), _u9825), hAPP(c_Int_Onumber__class_Onumber__of(_u9824), _u9827)) != _u9826) | ( _u9825 != c_Groups_Ozero__class_Ozero(_u9824)) )).
% 43.38/43.64 cnf(matrix-4795, plain, ( ~class_Int_Onumber__ring(_u9828) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9828), hAPP(c_Int_Onumber__class_Onumber__of(_u9828), _u9829)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9828), hAPP(c_Int_Onumber__class_Onumber__of(_u9828), _u9830)), _u9831)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9828), hAPP(c_Int_Onumber__class_Onumber__of(_u9828), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9829), _u9830))), _u9831)) )).
% 43.38/43.64 cnf(matrix-4796, plain, ( ~class_Int_Onumber__ring(_u9832) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9832), hAPP(c_Groups_Ouminus__class_Ouminus(_u9832), hAPP(c_Int_Onumber__class_Onumber__of(_u9832), _u9833))), _u9834) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9832), hAPP(c_Int_Onumber__class_Onumber__of(_u9832), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9833))), _u9834)) )).
% 43.38/43.64 cnf(matrix-4797, plain, ( ~class_Int_Onumber__ring(_u9835) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9835), hAPP(c_Int_Onumber__class_Onumber__of(_u9835), _u9836)), hAPP(c_Int_Onumber__class_Onumber__of(_u9835), _u9837)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9835), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9836), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9837)))) )).
% 43.38/43.64 cnf(matrix-4798, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) )).
% 43.38/43.64 cnf(matrix-4799, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) )).
% 43.38/43.64 cnf(matrix-4800, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.38/43.64 cnf(matrix-4801, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.38/43.64 cnf(matrix-4802, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) )).
% 43.38/43.64 cnf(matrix-4803, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.38/43.64 cnf(matrix-4804, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))) )).
% 43.38/43.64 cnf(matrix-4805, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.38/43.64 cnf(matrix-4806, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)), c_Groups_Ozero__class_Ozero(_u9838))) )).
% 43.38/43.64 cnf(matrix-4807, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9838) | ~class_Int_Onumber(_u9838) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9838), _u9839), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9841)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), _u9839), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9838), _u9841), hAPP(c_Int_Onumber__class_Onumber__of(_u9838), _u9840))), _u9839)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9838), c_Groups_Ozero__class_Ozero(_u9838)), _u9841)) )).
% 43.38/43.64 cnf(matrix-4808, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) )).
% 43.38/43.64 cnf(matrix-4809, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) )).
% 43.38/43.64 cnf(matrix-4810, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.38/43.64 cnf(matrix-4811, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.38/43.64 cnf(matrix-4812, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) )).
% 43.38/43.64 cnf(matrix-4813, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.38/43.64 cnf(matrix-4814, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), _u9844)) )).
% 43.38/43.64 cnf(matrix-4815, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.38/43.64 cnf(matrix-4816, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9844), c_Groups_Ozero__class_Ozero(_u9842))) )).
% 43.38/43.64 cnf(matrix-4817, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9842) | ~class_Int_Onumber(_u9842) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9842), _u9843), _u9844)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), _u9843), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9842), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845)), _u9844)), _u9843)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9842), c_Groups_Ozero__class_Ozero(_u9842)), hAPP(c_Int_Onumber__class_Onumber__of(_u9842), _u9845))) )).
% 43.38/43.64 cnf(matrix-4818, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) )).
% 43.38/43.64 cnf(matrix-4819, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) )).
% 43.38/43.64 cnf(matrix-4820, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.38/43.64 cnf(matrix-4821, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.38/43.64 cnf(matrix-4822, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.38/43.64 cnf(matrix-4823, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.38/43.64 cnf(matrix-4824, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), c_Groups_Ozero__class_Ozero(_u9846)), _u9849)) )).
% 43.38/43.64 cnf(matrix-4825, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.38/43.64 cnf(matrix-4826, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9849), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.38/43.64 cnf(matrix-4827, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9846) | ~class_Int_Onumber(_u9846) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9846), _u9848), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849)), _u9848)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), _u9848), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), _u9849))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9846), hAPP(c_Int_Onumber__class_Onumber__of(_u9846), _u9847)), c_Groups_Ozero__class_Ozero(_u9846))) )).
% 43.38/43.64 cnf(matrix-4828, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) )).
% 43.38/43.64 cnf(matrix-4829, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) )).
% 43.38/43.64 cnf(matrix-4830, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.38/43.64 cnf(matrix-4831, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.38/43.64 cnf(matrix-4832, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.38/43.64 cnf(matrix-4833, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.38/43.64 cnf(matrix-4834, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), c_Groups_Ozero__class_Ozero(_u9850)), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))) )).
% 43.38/43.64 cnf(matrix-4835, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.38/43.64 cnf(matrix-4836, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.38/43.64 cnf(matrix-4837, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9850) | ~class_Int_Onumber(_u9850) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9850), _u9852), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853))), _u9852)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9852), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9850), _u9851), hAPP(c_Int_Onumber__class_Onumber__of(_u9850), _u9853)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9850), _u9851), c_Groups_Ozero__class_Ozero(_u9850))) )).
% 43.38/43.64 cnf(matrix-4838, plain, ( ~class_Int_Onumber__ring(_u9854) | ~class_Rings_Olinordered__idom(_u9854) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)), c_Groups_Ozero__class_Ozero(_u9854))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855))) )).
% 43.38/43.64 cnf(matrix-4839, plain, ( ~class_Int_Onumber__ring(_u9854) | ~class_Rings_Olinordered__idom(_u9854) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)), c_Groups_Ozero__class_Ozero(_u9854))) | ( hAPP(c_Groups_Oabs__class_Oabs(_u9854), hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)) = hAPP(c_Int_Onumber__class_Onumber__of(_u9854), _u9855)) )).
% 43.38/43.64 cnf(matrix-4840, plain, ( ~class_Int_Onumber__ring(_u9856) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9856), hAPP(c_Int_Onumber__class_Onumber__of(_u9856), _u9857)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u9856), _u9858), hAPP(c_Int_Onumber__class_Onumber__of(_u9856), _u9859))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9856), hAPP(c_Int_Onumber__class_Onumber__of(_u9856), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9857), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9859)))), _u9858)) )).
% 43.38/43.64 cnf(matrix-4841, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) )).
% 43.38/43.64 cnf(matrix-4842, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) )).
% 43.38/43.64 cnf(matrix-4843, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.38/43.64 cnf(matrix-4844, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.38/43.64 cnf(matrix-4845, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) )).
% 43.38/43.64 cnf(matrix-4846, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.38/43.64 cnf(matrix-4847, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))) )).
% 43.38/43.64 cnf(matrix-4848, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.38/43.64 cnf(matrix-4849, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9860), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)), c_Groups_Ozero__class_Ozero(_u9860))) )).
% 43.38/43.64 cnf(matrix-4850, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9860) | ~class_Int_Onumber(_u9860) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9860), _u9861), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9863)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), _u9861), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9860), _u9863), hAPP(c_Int_Onumber__class_Onumber__of(_u9860), _u9862))), _u9861)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9860), c_Groups_Ozero__class_Ozero(_u9860)), _u9863)) )).
% 43.38/43.64 cnf(matrix-4851, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) )).
% 43.38/43.64 cnf(matrix-4852, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) )).
% 43.38/43.64 cnf(matrix-4853, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.38/43.64 cnf(matrix-4854, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.38/43.64 cnf(matrix-4855, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) )).
% 43.38/43.64 cnf(matrix-4856, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.38/43.64 cnf(matrix-4857, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), _u9866)) )).
% 43.38/43.64 cnf(matrix-4858, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.38/43.64 cnf(matrix-4859, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9864), _u9866), c_Groups_Ozero__class_Ozero(_u9864))) )).
% 43.38/43.64 cnf(matrix-4860, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9864) | ~class_Int_Onumber(_u9864) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9864), _u9865), _u9866)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), _u9865), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9864), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867)), _u9866)), _u9865)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9864), c_Groups_Ozero__class_Ozero(_u9864)), hAPP(c_Int_Onumber__class_Onumber__of(_u9864), _u9867))) )).
% 43.38/43.64 cnf(matrix-4861, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) )).
% 43.38/43.64 cnf(matrix-4862, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) )).
% 43.38/43.64 cnf(matrix-4863, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.38/43.64 cnf(matrix-4864, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.38/43.64 cnf(matrix-4865, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.38/43.64 cnf(matrix-4866, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.38/43.64 cnf(matrix-4867, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), c_Groups_Ozero__class_Ozero(_u9868)), _u9871)) )).
% 43.38/43.64 cnf(matrix-4868, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.38/43.64 cnf(matrix-4869, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9868), _u9871), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.38/43.64 cnf(matrix-4870, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9868) | ~class_Int_Onumber(_u9868) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9868), _u9870), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871)), _u9870)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), _u9870), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), _u9871))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9868), hAPP(c_Int_Onumber__class_Onumber__of(_u9868), _u9869)), c_Groups_Ozero__class_Ozero(_u9868))) )).
% 43.38/43.64 cnf(matrix-4871, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) )).
% 43.38/43.64 cnf(matrix-4872, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) )).
% 43.38/43.64 cnf(matrix-4873, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.38/43.64 cnf(matrix-4874, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.38/43.64 cnf(matrix-4875, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.38/43.64 cnf(matrix-4876, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.38/43.64 cnf(matrix-4877, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), c_Groups_Ozero__class_Ozero(_u9872)), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))) )).
% 43.38/43.64 cnf(matrix-4878, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.38/43.64 cnf(matrix-4879, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u9872), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.38/43.64 cnf(matrix-4880, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u9872) | ~class_Int_Onumber(_u9872) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u9872), _u9874), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875))), _u9874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9874), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u9872), _u9873), hAPP(c_Int_Onumber__class_Onumber__of(_u9872), _u9875)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u9872), _u9873), c_Groups_Ozero__class_Ozero(_u9872))) )).
% 43.38/43.64 cnf(matrix-4881, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9877))) | ( 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), _u9877)) = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.64 cnf(matrix-4882, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9878))) | ( 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), _u9878)) = 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), _u9878)))) )).
% 43.38/43.64 cnf(matrix-4883, 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), _u9879)) = 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), _u9879)))) )).
% 43.38/43.64 cnf(matrix-4884, plain, ( ~class_Int_Onumber__ring(_u9880) | ~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), _u9881))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9880), hAPP(c_Int_Onumber__class_Onumber__of(_u9880), _u9882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9881))) = hAPP(hAPP(c_HOL_OLet(_u9880, _u9880), hAPP(hAPP(c_Power_Opower__class_Opower(_u9880), hAPP(c_Int_Onumber__class_Onumber__of(_u9880), _u9882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9881))), hAPP(hAPP(c_COMBS(_u9880, _u9880, _u9880), hAPP(hAPP(c_COMBB(_u9880, tc_fun(_u9880, _u9880), _u9880), c_Groups_Otimes__class_Otimes(_u9880)), hAPP(c_Groups_Otimes__class_Otimes(_u9880), hAPP(c_Int_Onumber__class_Onumber__of(_u9880), _u9882)))), c_COMBI(_u9880)))) )).
% 43.38/43.64 cnf(matrix-4885, plain, ( ~class_Int_Onumber__ring(_u9880) | 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), _u9881))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9880), hAPP(c_Int_Onumber__class_Onumber__of(_u9880), _u9882)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9881))) = c_Groups_Oone__class_Oone(_u9880)) )).
% 43.38/43.64 cnf(matrix-4886, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9885))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9885)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9887)) = 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), _u9887))) )).
% 43.38/43.64 cnf(matrix-4887, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9886))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9886)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9888)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9886)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9888)))) )).
% 43.38/43.64 cnf(matrix-4888, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9889)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9889))) )).
% 43.38/43.64 cnf(matrix-4889, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9892)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9894))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9892), _u9894)) )).
% 43.38/43.64 cnf(matrix-4890, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9893), _u9895)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9893)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9895))) )).
% 43.38/43.64 cnf(matrix-4891, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9898)), c_Int_OBit1(_u9900))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9898), _u9900)) )).
% 43.38/43.64 cnf(matrix-4892, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9899), _u9901)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9899)), c_Int_OBit1(_u9901))) )).
% 43.38/43.64 cnf(matrix-4893, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9904)), c_Int_OBit1(_u9906))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9904), _u9906)) )).
% 43.38/43.64 cnf(matrix-4894, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9905), _u9907)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u9905)), c_Int_OBit1(_u9907))) )).
% 43.38/43.64 cnf(matrix-4895, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9908) = _u9908) )).
% 43.38/43.64 cnf(matrix-4896, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9911)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9913))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9911), _u9913)) )).
% 43.38/43.64 cnf(matrix-4897, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u9912), _u9914)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9912)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9914))) )).
% 43.38/43.64 cnf(matrix-4898, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9916)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9916))) )).
% 43.38/43.64 cnf(matrix-4899, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9917))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u9917)))) )).
% 43.38/43.64 cnf(matrix-4900, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9918)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9919)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u9918), _u9919))) )).
% 43.38/43.64 cnf(matrix-4901, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9920)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9921)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9920), _u9921))) )).
% 43.38/43.64 cnf(matrix-4902, plain, ( ( c_Int_OBit1(_u9924) != c_Int_OBit1(_u9926)) | ( _u9924 = _u9926) )).
% 43.38/43.64 cnf(matrix-4903, plain, ( ( _u9925 != _u9927) | ( c_Int_OBit1(_u9925) = c_Int_OBit1(_u9927)) )).
% 43.38/43.64 cnf(matrix-4904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9930)), c_Int_OBit1(_u9932))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9930), _u9932)) )).
% 43.38/43.64 cnf(matrix-4905, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9931), _u9933)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9931)), c_Int_OBit1(_u9933))) )).
% 43.38/43.64 cnf(matrix-4906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9936)), c_Int_OBit1(_u9938))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9936), _u9938)) )).
% 43.38/43.64 cnf(matrix-4907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9937), _u9939)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9937)), c_Int_OBit1(_u9939))) )).
% 43.38/43.64 cnf(matrix-4908, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9940) = hAPP(c_Int_Oring__1__class_Oof__int(tc_Int_Oint), _u9940)) )).
% 43.38/43.64 cnf(matrix-4909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9942)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9942), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4910, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u9943), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u9943)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4911, plain, ( ( c_Int_OBit1(_u9944) = 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)), _u9944)), _u9944)) )).
% 43.38/43.64 cnf(matrix-4912, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9945) = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9945))) )).
% 43.38/43.64 cnf(matrix-4913, plain, ( ( hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9946)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9946)) )).
% 43.38/43.64 cnf(matrix-4914, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9948))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9948)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4915, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9949))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9949)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9949)), 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))))) )).
% 43.38/43.64 cnf(matrix-4916, plain, ( ~class_Int_Onumber__ring(_u9950) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u9950), c_Int_OBit1(_u9951)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9950), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u9950), c_Groups_Oone__class_Oone(_u9950)), hAPP(c_Int_Onumber__class_Onumber__of(_u9950), _u9951))), hAPP(c_Int_Onumber__class_Onumber__of(_u9950), _u9951))) )).
% 43.38/43.64 cnf(matrix-4917, plain, ( ~class_Int_Onumber__ring(_u9952) | ~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), _u9953))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9952), _u9954), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9953))) = hAPP(hAPP(c_HOL_OLet(_u9952, _u9952), hAPP(hAPP(c_Power_Opower__class_Opower(_u9952), _u9954), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9953))), hAPP(hAPP(c_COMBS(_u9952, _u9952, _u9952), hAPP(hAPP(c_COMBB(_u9952, tc_fun(_u9952, _u9952), _u9952), c_Groups_Otimes__class_Otimes(_u9952)), hAPP(c_Groups_Otimes__class_Otimes(_u9952), _u9954))), c_COMBI(_u9952)))) )).
% 43.38/43.64 cnf(matrix-4918, plain, ( ~class_Int_Onumber__ring(_u9952) | 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), _u9953))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u9952), _u9954), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9953))) = c_Groups_Oone__class_Oone(_u9952)) )).
% 43.38/43.64 cnf(matrix-4919, 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), _u9957))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9959), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9957))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9959), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9957))), 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), _u9959))), c_COMBI(tc_Int_Oint)))) )).
% 43.38/43.64 cnf(matrix-4920, 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), _u9958))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u9960), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(_u9958))) = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4921, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9961)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9962)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u9961), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u9962)))) )).
% 43.38/43.64 cnf(matrix-4922, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9963))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9963) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4923, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9966) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9968)) | ( _u9966 = hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9968))) )).
% 43.38/43.64 cnf(matrix-4924, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9966) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9968)) | 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), _u9968))) )).
% 43.38/43.64 cnf(matrix-4925, plain, ( ( _u9967 != hAPP(c_Int_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9969))) | ~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), _u9969))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u9967) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9969)) )).
% 43.38/43.64 cnf(matrix-4926, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9972) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9974)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9972))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9974)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4927, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9972) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9974)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9972))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9974))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9972) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4928, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9972) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9974)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9972))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9974))) | ( _u9972 = _u9974) )).
% 43.38/43.64 cnf(matrix-4929, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975))) | ( _u9973 != _u9975) )).
% 43.38/43.64 cnf(matrix-4930, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975))) )).
% 43.38/43.64 cnf(matrix-4931, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9973 != _u9975) )).
% 43.38/43.64 cnf(matrix-4932, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973))) )).
% 43.38/43.64 cnf(matrix-4933, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975))) | ( _u9973 != _u9975) )).
% 43.38/43.64 cnf(matrix-4934, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975))) )).
% 43.38/43.64 cnf(matrix-4935, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9973) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9975)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9975)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9973) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u9973 != _u9975) )).
% 43.38/43.64 cnf(matrix-4936, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9979))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9979)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9981)), _u9983)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9981)), _u9983)) )).
% 43.38/43.64 cnf(matrix-4937, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9980))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9982))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9980)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9982)), _u9984)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9980)), _u9984)) )).
% 43.38/43.64 cnf(matrix-4938, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9980))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9982))) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9980)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9982)), _u9984)) = 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), _u9980), _u9982))), _u9984)) )).
% 43.38/43.64 cnf(matrix-4939, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9986))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9986)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4940, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9987))) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9987)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9987)) )).
% 43.38/43.64 cnf(matrix-4941, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9990))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9990), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9992)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4942, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9991))) | ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9993))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9991), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9993)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9991)) )).
% 43.38/43.64 cnf(matrix-4943, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9991))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9993))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9991), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9993)) = hAPP(c_Int_Onat, c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9991), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9993)))) )).
% 43.38/43.64 cnf(matrix-4944, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9996))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9996)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9998)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4945, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9997))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9997)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u9999)) = hAPP(c_Int_Onat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9997)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u9999)))) )).
% 43.38/43.64 cnf(matrix-4946, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10002))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10002)), _u10004) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10004)) )).
% 43.38/43.64 cnf(matrix-4947, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10003))) | ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10003)), _u10005) = hAPP(c_Int_Onat, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10003)), _u10005))) )).
% 43.38/43.64 cnf(matrix-4948, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10008))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10008)), _u10010)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10010)) )).
% 43.38/43.64 cnf(matrix-4949, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10009))) | ( hAPP(c_Nat_OSuc, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10009)), _u10011)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10009))), _u10011)) )).
% 43.38/43.64 cnf(matrix-4950, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10014), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10016)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10014)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10016)) )).
% 43.38/43.64 cnf(matrix-4951, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10015), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10017)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10015)) = 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), _u10017), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10015)))), 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))) )).
% 43.38/43.64 cnf(matrix-4952, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10018)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10019)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10019))), 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), _u10018)), c_Int_Onat))))) )).
% 43.38/43.64 cnf(matrix-4953, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10020)), hAPP(c_Nat_OSuc, _u10021)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10020))), 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)), _u10021))))) )).
% 43.38/43.64 cnf(matrix-4954, plain, ( ( c_Int_OBit1(_u10022) != c_Int_OPls) )).
% 43.38/43.64 cnf(matrix-4955, plain, ( ( c_Int_OPls != c_Int_OBit1(_u10023)) )).
% 43.38/43.64 cnf(matrix-4956, plain, ( ( c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4957, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls) = c_Int_OPls) )).
% 43.38/43.64 cnf(matrix-4958, plain, ( ( c_Int_Osucc(c_Int_Opred(_u10024)) = _u10024) )).
% 43.38/43.64 cnf(matrix-4959, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OPls), _u10025) = c_Int_OPls) )).
% 43.38/43.64 cnf(matrix-4960, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), _u10026) = _u10026) )).
% 43.38/43.64 cnf(matrix-4961, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10027), c_Int_OPls) = _u10027) )).
% 43.38/43.64 cnf(matrix-4962, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4963, plain, ( ( c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-4964, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10028), c_Int_OPls) = _u10028) )).
% 43.38/43.64 cnf(matrix-4965, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4966, plain, ( ~class_Int_Onumber__ring(_u10029) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10029), c_Int_OPls) = c_Groups_Ozero__class_Ozero(_u10029)) )).
% 43.38/43.64 cnf(matrix-4967, plain, ( ~class_Int_Onumber__ring(_u10030) | ( c_Groups_Ozero__class_Ozero(_u10030) = hAPP(c_Int_Onumber__class_Onumber__of(_u10030), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4968, plain, ( ~class_Int_Onumber__ring(_u10031) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10031), _u10032), hAPP(c_Int_Onumber__class_Onumber__of(_u10031), c_Int_OPls)) = _u10032) )).
% 43.38/43.64 cnf(matrix-4969, plain, ( ~class_Int_Onumber__ring(_u10033) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10033), hAPP(c_Int_Onumber__class_Onumber__of(_u10033), c_Int_OPls)), _u10034) = _u10034) )).
% 43.38/43.64 cnf(matrix-4970, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4971, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4972, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4973, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4974, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10036))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10036)) )).
% 43.38/43.64 cnf(matrix-4975, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10037)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10037))) )).
% 43.38/43.64 cnf(matrix-4976, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10039)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10039), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4977, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10040), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10040)), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4978, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10041)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10042)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10041)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10042), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10041)))) )).
% 43.38/43.64 cnf(matrix-4979, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OPls))) )).
% 43.38/43.64 cnf(matrix-4980, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10044), 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), _u10044)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4981, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10045), 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), _u10045)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10045))) )).
% 43.38/43.64 cnf(matrix-4982, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10047), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10047)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4983, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10048), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10048)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10048))) )).
% 43.38/43.64 cnf(matrix-4984, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10051), _u10053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10051)), _u10053)) )).
% 43.38/43.64 cnf(matrix-4985, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_Opred(_u10052)), _u10054)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10052), _u10054)) )).
% 43.38/43.64 cnf(matrix-4986, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(_u10055)) = c_Int_OBit1(c_Int_Opred(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10055)))) )).
% 43.38/43.64 cnf(matrix-4987, plain, ( ( c_Int_Opred(_u10056) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10056), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-4988, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10058), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10058)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4989, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10059), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10059)), c_Groups_Oone__class_Oone(tc_Nat_Onat)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Opred(_u10059))) )).
% 43.38/43.64 cnf(matrix-4990, plain, ( ~class_Int_Onumber__ring(_u10060) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10060), _u10061), hAPP(c_Int_Onumber__class_Onumber__of(_u10060), c_Int_OBit1(c_Int_OPls))) = _u10061) )).
% 43.38/43.64 cnf(matrix-4991, plain, ( ~class_Int_Onumber__ring(_u10062) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10062), hAPP(c_Int_Onumber__class_Onumber__of(_u10062), c_Int_OBit1(c_Int_OPls))), _u10063) = _u10063) )).
% 43.38/43.64 cnf(matrix-4992, plain, ( ~class_Fields_Ofield__inverse__zero(_u10064) | ~class_Int_Onumber__ring(_u10064) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10064), _u10065), hAPP(c_Int_Onumber__class_Onumber__of(_u10064), c_Int_OPls)) = c_Groups_Ozero__class_Ozero(_u10064)) )).
% 43.38/43.64 cnf(matrix-4993, plain, ( ~class_Int_Onumber__ring(_u10066) | ( c_Groups_Oone__class_Oone(_u10066) = hAPP(c_Int_Onumber__class_Onumber__of(_u10066), c_Int_OBit1(c_Int_OPls))) )).
% 43.38/43.64 cnf(matrix-4994, plain, ( ~class_Int_Onumber__ring(_u10067) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10067), c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(_u10067)) )).
% 43.38/43.64 cnf(matrix-4995, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10069)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10069), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4996, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10070), c_Int_OPls)) | ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10070)) )).
% 43.38/43.64 cnf(matrix-4997, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10072) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10072), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-4998, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10073), c_Int_OPls)) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10073) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-4999, 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))) )).
% 43.38/43.64 cnf(matrix-5000, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10075))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10075)) )).
% 43.38/43.64 cnf(matrix-5001, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10076)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10076))) )).
% 43.38/43.64 cnf(matrix-5002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10078)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10078), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5003, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10079), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10079)), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5004, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10082)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10084))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10082), _u10084)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10084)) )).
% 43.38/43.64 cnf(matrix-5005, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10082)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10084))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10082), _u10084)) )).
% 43.38/43.64 cnf(matrix-5006, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10083)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10085))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10083), _u10085)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10085)) )).
% 43.38/43.64 cnf(matrix-5007, plain, ( ~class_Fields_Ofield(_u10086) | ~class_Int_Onumber__ring(_u10086) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10086), _u10087), hAPP(c_Int_Onumber__class_Onumber__of(_u10086), c_Int_OBit1(c_Int_OPls))) = _u10087) )).
% 43.38/43.64 cnf(matrix-5008, plain, ( ~class_Fields_Ofield(_u10088) | ~class_Int_Onumber__ring(_u10088) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10088), _u10089), hAPP(c_Int_Onumber__class_Onumber__of(_u10088), c_Int_OBit1(c_Int_OPls))) = _u10089) )).
% 43.38/43.64 cnf(matrix-5009, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10092)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10094))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10092), _u10094)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10092), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5010, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10093)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10095))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10093), _u10095)) )).
% 43.38/43.64 cnf(matrix-5011, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10093)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10095))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10093), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5012, 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))) )).
% 43.38/43.64 cnf(matrix-5013, 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))) )).
% 43.38/43.64 cnf(matrix-5014, 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)) )).
% 43.38/43.64 cnf(matrix-5015, 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)))) )).
% 43.38/43.64 cnf(matrix-5016, plain, ( ( c_Int_Osucc(_u10096) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10096), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5017, plain, ( ~class_Int_Onumber__ring(_u10097) | ~class_Rings_Olinordered__idom(_u10097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10097), c_Groups_Ozero__class_Ozero(_u10097)), hAPP(c_Int_Onumber__class_Onumber__of(_u10097), _u10098))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10098)) )).
% 43.38/43.64 cnf(matrix-5018, plain, ( ~class_Int_Onumber__ring(_u10097) | ~class_Rings_Olinordered__idom(_u10097) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10098)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10097), c_Groups_Ozero__class_Ozero(_u10097)), hAPP(c_Int_Onumber__class_Onumber__of(_u10097), _u10098))) )).
% 43.38/43.64 cnf(matrix-5019, plain, ( ~class_Int_Onumber__ring(_u10099) | ~class_Rings_Olinordered__idom(_u10099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10099), hAPP(c_Int_Onumber__class_Onumber__of(_u10099), _u10100)), c_Groups_Ozero__class_Ozero(_u10099))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10100), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5020, plain, ( ~class_Int_Onumber__ring(_u10099) | ~class_Rings_Olinordered__idom(_u10099) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10100), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10099), hAPP(c_Int_Onumber__class_Onumber__of(_u10099), _u10100)), c_Groups_Ozero__class_Ozero(_u10099))) )).
% 43.38/43.64 cnf(matrix-5021, plain, ( ~class_Int_Onumber__ring(_u10101) | ~class_Rings_Olinordered__idom(_u10101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10101), c_Groups_Ozero__class_Ozero(_u10101)), hAPP(c_Int_Onumber__class_Onumber__of(_u10101), _u10102))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10102)) )).
% 43.38/43.64 cnf(matrix-5022, plain, ( ~class_Int_Onumber__ring(_u10101) | ~class_Rings_Olinordered__idom(_u10101) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10101), c_Groups_Ozero__class_Ozero(_u10101)), hAPP(c_Int_Onumber__class_Onumber__of(_u10101), _u10102))) )).
% 43.38/43.64 cnf(matrix-5023, plain, ( ~class_Int_Onumber__ring(_u10103) | ~class_Rings_Olinordered__idom(_u10103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10103), hAPP(c_Int_Onumber__class_Onumber__of(_u10103), _u10104)), c_Groups_Ozero__class_Ozero(_u10103))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10104), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5024, plain, ( ~class_Int_Onumber__ring(_u10103) | ~class_Rings_Olinordered__idom(_u10103) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10104), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10103), hAPP(c_Int_Onumber__class_Onumber__of(_u10103), _u10104)), c_Groups_Ozero__class_Ozero(_u10103))) )).
% 43.38/43.64 cnf(matrix-5025, 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), _u10106))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10106)) )).
% 43.38/43.64 cnf(matrix-5026, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10107)) | 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), _u10107))) )).
% 43.38/43.64 cnf(matrix-5027, 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))) )).
% 43.38/43.64 cnf(matrix-5028, 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))))) )).
% 43.38/43.64 cnf(matrix-5029, plain, ( ~class_Groups_Omonoid__mult(_u10108) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10108), _u10109), 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(_u10108), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10108), _u10109), _u10109)), _u10109)) )).
% 43.38/43.64 cnf(matrix-5030, 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))))) )).
% 43.38/43.64 cnf(matrix-5031, plain, ( ( hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10110))) = 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)))), _u10110)) )).
% 43.38/43.64 cnf(matrix-5032, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10113), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10113)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10115)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10115)) )).
% 43.38/43.64 cnf(matrix-5033, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10114), c_Int_OPls)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10116), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10114)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10116)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10114)) )).
% 43.38/43.64 cnf(matrix-5034, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10114), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10116), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10114)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10116)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10114), _u10116))) )).
% 43.38/43.64 cnf(matrix-5035, 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))))) )).
% 43.38/43.64 cnf(matrix-5036, 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))))) )).
% 43.38/43.64 cnf(matrix-5037, plain, ( ~class_Int_Onumber__ring(_u10117) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10117), c_Int_Osucc(_u10118)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10117), c_Groups_Oone__class_Oone(_u10117)), hAPP(c_Int_Onumber__class_Onumber__of(_u10117), _u10118))) )).
% 43.38/43.64 cnf(matrix-5038, plain, ( ~class_Int_Onumber__ring(_u10119) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10119), c_Int_Opred(_u10120)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10119), hAPP(c_Groups_Ouminus__class_Ouminus(_u10119), c_Groups_Oone__class_Oone(_u10119))), hAPP(c_Int_Onumber__class_Onumber__of(_u10119), _u10120))) )).
% 43.38/43.64 cnf(matrix-5039, plain, ( ~class_Int_Onumber__ring(_u10121) | ~class_Rings_Olinordered__idom(_u10121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), hAPP(c_Int_Onumber__class_Onumber__of(_u10121), _u10122)), c_Groups_Oone__class_Oone(_u10121))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10122), c_Int_OBit1(c_Int_OPls))) )).
% 43.38/43.64 cnf(matrix-5040, plain, ( ~class_Int_Onumber__ring(_u10121) | ~class_Rings_Olinordered__idom(_u10121) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10122), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10121), hAPP(c_Int_Onumber__class_Onumber__of(_u10121), _u10122)), c_Groups_Oone__class_Oone(_u10121))) )).
% 43.38/43.64 cnf(matrix-5041, plain, ( ~class_Int_Onumber__ring(_u10123) | ~class_Rings_Olinordered__idom(_u10123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10123), c_Groups_Oone__class_Oone(_u10123)), hAPP(c_Int_Onumber__class_Onumber__of(_u10123), _u10124))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10124)) )).
% 43.38/43.64 cnf(matrix-5042, plain, ( ~class_Int_Onumber__ring(_u10123) | ~class_Rings_Olinordered__idom(_u10123) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10124)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10123), c_Groups_Oone__class_Oone(_u10123)), hAPP(c_Int_Onumber__class_Onumber__of(_u10123), _u10124))) )).
% 43.38/43.64 cnf(matrix-5043, plain, ( ~class_Int_Onumber__ring(_u10125) | ~class_Rings_Olinordered__idom(_u10125) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10125), hAPP(c_Int_Onumber__class_Onumber__of(_u10125), _u10126)), c_Groups_Oone__class_Oone(_u10125))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10126), c_Int_OBit1(c_Int_OPls))) )).
% 43.38/43.64 cnf(matrix-5044, plain, ( ~class_Int_Onumber__ring(_u10125) | ~class_Rings_Olinordered__idom(_u10125) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10126), c_Int_OBit1(c_Int_OPls))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10125), hAPP(c_Int_Onumber__class_Onumber__of(_u10125), _u10126)), c_Groups_Oone__class_Oone(_u10125))) )).
% 43.38/43.64 cnf(matrix-5045, plain, ( ~class_Int_Onumber__ring(_u10127) | ~class_Rings_Olinordered__idom(_u10127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10127), c_Groups_Oone__class_Oone(_u10127)), hAPP(c_Int_Onumber__class_Onumber__of(_u10127), _u10128))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10128)) )).
% 43.38/43.64 cnf(matrix-5046, plain, ( ~class_Int_Onumber__ring(_u10127) | ~class_Rings_Olinordered__idom(_u10127) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10128)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10127), c_Groups_Oone__class_Oone(_u10127)), hAPP(c_Int_Onumber__class_Onumber__of(_u10127), _u10128))) )).
% 43.38/43.64 cnf(matrix-5047, plain, ( ~class_Int_Onumber__ring(_u10129) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10129), hAPP(c_Int_Onumber__class_Onumber__of(_u10129), _u10130)), c_Groups_Oone__class_Oone(_u10129)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10129), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10130), c_Int_OBit1(c_Int_OPls)))) )).
% 43.38/43.64 cnf(matrix-5048, plain, ( ~class_Int_Onumber__ring(_u10131) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10131), c_Groups_Oone__class_Oone(_u10131)), hAPP(c_Int_Onumber__class_Onumber__of(_u10131), _u10132)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10131), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls)), _u10132))) )).
% 43.38/43.64 cnf(matrix-5049, 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)), _u10133)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10134)), _u10133) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10134), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u10133), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit1(c_Int_OPls))))) )).
% 43.38/43.64 cnf(matrix-5050, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10137), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10137)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10139)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-5051, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10138), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10138)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10140)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10138), _u10140))) )).
% 43.38/43.64 cnf(matrix-5052, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10144), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10144)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10146)), _u10148)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-5053, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10145), c_Int_OPls)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10145)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10147)), _u10149)) = 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), _u10145), _u10147))), _u10149)) )).
% 43.38/43.64 cnf(matrix-5054, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10151)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10151) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-5055, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10152) != 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(_u10152)))) )).
% 43.38/43.64 cnf(matrix-5056, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10153))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10154)) = 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)))), _u10153), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10154))) )).
% 43.38/43.64 cnf(matrix-5057, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10155))), _u10156) = 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)))), _u10155), _u10156)) )).
% 43.38/43.64 cnf(matrix-5058, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10157, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10158)))) = c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10157, 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)))), _u10158))) )).
% 43.38/43.64 cnf(matrix-5059, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10159)))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10160)) = 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)))), _u10159)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10160))) )).
% 43.38/43.64 cnf(matrix-5060, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10161)))), _u10162) = 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)))), _u10161)), _u10162)) )).
% 43.38/43.64 cnf(matrix-5061, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10163), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10164)))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u10163), 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)))), _u10164))) )).
% 43.38/43.64 cnf(matrix-5062, plain, ( ~class_Int_Onumber__ring(_u10165) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10165), hAPP(c_Int_Onumber__class_Onumber__of(_u10165), _u10166)), c_Groups_Oone__class_Oone(_u10165)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10165), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10166), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 43.38/43.64 cnf(matrix-5063, plain, ( ~class_Int_Onumber__ring(_u10167) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10167), c_Groups_Oone__class_Oone(_u10167)), hAPP(c_Int_Onumber__class_Onumber__of(_u10167), _u10168)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10167), 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), _u10168)))) )).
% 43.38/43.64 cnf(matrix-5064, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10171) != hAPP(c_Nat_OSuc, _u10173)) | 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(_u10171))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10173))))) )).
% 43.38/43.64 cnf(matrix-5065, 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(_u10172))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10174))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10172) = hAPP(c_Nat_OSuc, _u10174)) )).
% 43.38/43.64 cnf(matrix-5066, plain, ( ( hAPP(c_Nat_OSuc, _u10177) != hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10179)) | 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(_u10179))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10177))))) )).
% 43.38/43.64 cnf(matrix-5067, 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(_u10180))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10178))))) | ( hAPP(c_Nat_OSuc, _u10178) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10180)) )).
% 43.38/43.64 cnf(matrix-5068, plain, ( ( c_Nat_Onat_Onat__case(_u10181, _u10182, _u10183, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10184)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10184))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10181, _u10181), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10181, tc_fun(_u10181, _u10181)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10181, tc_fun(_u10181, _u10181)), tc_Int_Oint), c_If(_u10181)), c_Nat__Numeral_Oneg)), _u10182)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10181, tc_Int_Oint), _u10183), c_Int_Onat)))) )).
% 43.38/43.64 cnf(matrix-5069, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10187)), hAPP(c_Nat_OSuc, _u10189))) | 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(_u10187))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10189)))) )).
% 43.38/43.64 cnf(matrix-5070, 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(_u10188))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10190)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10188)), hAPP(c_Nat_OSuc, _u10190))) )).
% 43.38/43.64 cnf(matrix-5071, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10193)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10195))) | 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(_u10195))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10193)), c_Int_Onat))))) )).
% 43.38/43.64 cnf(matrix-5072, 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(_u10196))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10194)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10194)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10196))) )).
% 43.38/43.64 cnf(matrix-5073, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10199)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10201))) | 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(_u10201))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10199)), c_Int_Onat))))) )).
% 43.38/43.64 cnf(matrix-5074, 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(_u10202))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10200)), c_Int_Onat))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10200)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10202))) )).
% 43.38/43.64 cnf(matrix-5075, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10205)), hAPP(c_Nat_OSuc, _u10207))) | 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(_u10205))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10207)))) )).
% 43.38/43.64 cnf(matrix-5076, 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(_u10206))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10208)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10206)), hAPP(c_Nat_OSuc, _u10208))) )).
% 43.38/43.64 cnf(matrix-5077, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10210))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10210)) = c_Groups_Oone__class_Oone(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-5078, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10211))) | ( hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10211)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_Osucc(_u10211))) )).
% 43.38/43.64 cnf(matrix-5079, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u10212)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10213)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10213))), 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, _u10212))), 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), _u10212)), c_Int_Onat))))) )).
% 43.38/43.64 cnf(matrix-5080, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10214)), hAPP(c_Nat_OSuc, _u10215)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10214))), 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, _u10215))), 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)), _u10215))))) )).
% 43.38/43.64 cnf(matrix-5081, plain, ( ( c_Nat_Onat_Onat__case(_u10216, _u10217, _u10218, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10219)), _u10220)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10216), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10219))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10216, _u10216), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10216, tc_fun(_u10216, _u10216)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10216, tc_fun(_u10216, _u10216)), tc_Int_Oint), c_If(_u10216)), c_Nat__Numeral_Oneg)), c_Nat_Onat_Onat__case(_u10216, _u10217, _u10218, _u10220))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10216, tc_Int_Oint), _u10218), 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)), _u10220))))) )).
% 43.38/43.64 cnf(matrix-5082, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10221, _u10222, _u10223), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10224)), _u10225)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10221), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10224))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10221, _u10221), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10221, tc_fun(_u10221, _u10221)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10221, tc_fun(_u10221, _u10221)), tc_Int_Oint), c_If(_u10221)), c_Nat__Numeral_Oneg)), hAPP(c_Nat_Onat_Onat__rec(_u10221, _u10222, _u10223), _u10225))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10221, _u10221), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10221, _u10221), tc_Int_Oint), _u10223), 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)), _u10225))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10221, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10221, _u10222, _u10223)), 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)), _u10225)))))) )).
% 43.38/43.64 cnf(matrix-5083, plain, ( ~class_Int_Onumber__ring(_u10226) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10227) != c_Groups_Oone__class_Oone(_u10226)) | c_Int_Oiszero(_u10226, hAPP(c_Int_Onumber__class_Onumber__of(_u10226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) )).
% 43.38/43.64 cnf(matrix-5084, plain, ( ~class_Int_Onumber__ring(_u10226) | ~c_Int_Oiszero(_u10226, hAPP(c_Int_Onumber__class_Onumber__of(_u10226), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10227), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit1(c_Int_OPls))))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10226), _u10227) = c_Groups_Oone__class_Oone(_u10226)) )).
% 43.38/43.64 cnf(matrix-5085, plain, ( ~class_Int_Onumber__ring(_u10228) | ( c_Groups_Oone__class_Oone(_u10228) != hAPP(c_Int_Onumber__class_Onumber__of(_u10228), _u10229)) | c_Int_Oiszero(_u10228, hAPP(c_Int_Onumber__class_Onumber__of(_u10228), 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), _u10229)))) )).
% 43.38/43.64 cnf(matrix-5086, plain, ( ~class_Int_Onumber__ring(_u10228) | ~c_Int_Oiszero(_u10228, hAPP(c_Int_Onumber__class_Onumber__of(_u10228), 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), _u10229)))) | ( c_Groups_Oone__class_Oone(_u10228) = hAPP(c_Int_Onumber__class_Onumber__of(_u10228), _u10229)) )).
% 43.38/43.64 cnf(matrix-5087, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10230, _u10231, _u10232), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10233)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u10230), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_Opred(_u10233))), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10230, _u10230), hAPP(hAPP(c_COMBC(tc_Int_Oint, _u10230, tc_fun(_u10230, _u10230)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10230, tc_fun(_u10230, _u10230)), tc_Int_Oint), c_If(_u10230)), c_Nat__Numeral_Oneg)), _u10231)), hAPP(hAPP(c_COMBS(tc_Int_Oint, _u10230, _u10230), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u10230, _u10230), tc_Int_Oint), _u10232), c_Int_Onat)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u10230, tc_Int_Oint), c_Nat_Onat_Onat__rec(_u10230, _u10231, _u10232)), c_Int_Onat))))) )).
% 43.38/43.64 cnf(matrix-5088, plain, ( ~class_Rings_Osemiring__1(_u10234) | c_Int_Oiszero(_u10234, c_Groups_Ozero__class_Ozero(_u10234)) )).
% 43.38/43.64 cnf(matrix-5089, plain, ( ~class_Rings_Osemiring__1(_u10235) | ~c_Int_Oiszero(_u10235, _u10236) | ( _u10236 = c_Groups_Ozero__class_Ozero(_u10235)) )).
% 43.38/43.64 cnf(matrix-5090, plain, ( ~class_Rings_Osemiring__1(_u10235) | ( _u10236 != c_Groups_Ozero__class_Ozero(_u10235)) | c_Int_Oiszero(_u10235, _u10236) )).
% 43.38/43.64 cnf(matrix-5091, plain, ( ~class_Rings_Osemiring__1(_u10237) | ~c_Int_Oiszero(_u10237, c_Groups_Oone__class_Oone(_u10237)) )).
% 43.38/43.64 cnf(matrix-5092, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10238, _u10239, _u10240), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u10239) )).
% 43.38/43.64 cnf(matrix-5093, plain, ( ( hAPP(c_Nat_Onat_Onat__rec(_u10241, _u10242, _u10243), hAPP(c_Nat_OSuc, _u10244)) = hAPP(hAPP(_u10243, _u10244), hAPP(c_Nat_Onat_Onat__rec(_u10241, _u10242, _u10243), _u10244))) )).
% 43.38/43.64 cnf(matrix-5094, plain, ( ~class_Int_Onumber__ring(_u10245) | c_Int_Oiszero(_u10245, hAPP(c_Int_Onumber__class_Onumber__of(_u10245), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5095, plain, ( ~class_Int_Onumber__ring(_u10246) | ~class_Int_Oring__char__0(_u10246) | ~c_Int_Oiszero(_u10246, hAPP(c_Int_Onumber__class_Onumber__of(_u10246), c_Int_OBit1(_u10247))) )).
% 43.38/43.64 cnf(matrix-5096, plain, ( ~class_Int_Onumber__ring(_u10248) | ~c_Int_Oiszero(_u10248, hAPP(c_Int_Onumber__class_Onumber__of(_u10248), c_Int_OBit1(c_Int_OPls))) )).
% 43.38/43.64 cnf(matrix-5097, plain, ( ~class_Int_Onumber__ring(_u10249) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10250) != hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10251)) | c_Int_Oiszero(_u10249, hAPP(c_Int_Onumber__class_Onumber__of(_u10249), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10250), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10251)))) )).
% 43.38/43.64 cnf(matrix-5098, plain, ( ~class_Int_Onumber__ring(_u10249) | ~c_Int_Oiszero(_u10249, hAPP(c_Int_Onumber__class_Onumber__of(_u10249), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10250), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10251)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10250) = hAPP(c_Int_Onumber__class_Onumber__of(_u10249), _u10251)) )).
% 43.38/43.64 cnf(matrix-5099, plain, ( ~class_Int_Onumber__ring(_u10252) | ( c_Groups_Ozero__class_Ozero(_u10252) != hAPP(c_Int_Onumber__class_Onumber__of(_u10252), _u10253)) | c_Int_Oiszero(_u10252, hAPP(c_Int_Onumber__class_Onumber__of(_u10252), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10253)))) )).
% 43.38/43.64 cnf(matrix-5100, plain, ( ~class_Int_Onumber__ring(_u10252) | ~c_Int_Oiszero(_u10252, hAPP(c_Int_Onumber__class_Onumber__of(_u10252), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OPls), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10253)))) | ( c_Groups_Ozero__class_Ozero(_u10252) = hAPP(c_Int_Onumber__class_Onumber__of(_u10252), _u10253)) )).
% 43.38/43.64 cnf(matrix-5101, plain, ( ~class_Int_Onumber__ring(_u10254) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10254), _u10255) != c_Groups_Ozero__class_Ozero(_u10254)) | c_Int_Oiszero(_u10254, hAPP(c_Int_Onumber__class_Onumber__of(_u10254), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10255), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) )).
% 43.38/43.64 cnf(matrix-5102, plain, ( ~class_Int_Onumber__ring(_u10254) | ~c_Int_Oiszero(_u10254, hAPP(c_Int_Onumber__class_Onumber__of(_u10254), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10255), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OPls)))) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10254), _u10255) = c_Groups_Ozero__class_Ozero(_u10254)) )).
% 43.38/43.64 cnf(matrix-5103, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10256), 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)))), _u10257)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10256)) = 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), _u10257), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u10256))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5104, 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), _u10260))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10262)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10260))) = 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), _u10262), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10260)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5105, 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), _u10261))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10263)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10261))) = 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), _u10263)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10261)))), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5106, 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), _u10264)), 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))), _u10265))), hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u10266))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u10266)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10264), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10264), 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), _u10266), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), _u10265))))) )).
% 43.38/43.64 cnf(matrix-5107, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10267)) | ( 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)))), _u10268))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10267)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10268), _u10267)) )).
% 43.38/43.64 cnf(matrix-5108, plain, ( ( c_Int_OBit1(_u10269) != c_Int_OBit0(_u10270)) )).
% 43.38/43.64 cnf(matrix-5109, plain, ( ( c_Int_OBit0(_u10271) != c_Int_OBit1(_u10272)) )).
% 43.38/43.64 cnf(matrix-5110, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OBit0(_u10273)) = c_Int_OBit0(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10273))) )).
% 43.38/43.64 cnf(matrix-5111, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10276)), c_Int_OBit0(_u10278))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10276), _u10278)) )).
% 43.38/43.64 cnf(matrix-5112, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10277), _u10279)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10277)), c_Int_OBit0(_u10279))) )).
% 43.38/43.64 cnf(matrix-5113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10282)), c_Int_OBit0(_u10284))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10282), _u10284)) )).
% 43.38/43.64 cnf(matrix-5114, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10283), _u10285)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10283)), c_Int_OBit0(_u10285))) )).
% 43.38/43.64 cnf(matrix-5115, plain, ( ( c_Int_OBit0(_u10286) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10286), _u10286)) )).
% 43.38/43.64 cnf(matrix-5116, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u10287)), c_Int_OBit0(_u10288)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10287), _u10288))) )).
% 43.38/43.64 cnf(matrix-5117, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit0(_u10289)), _u10290) = c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10289), _u10290))) )).
% 43.38/43.64 cnf(matrix-5118, plain, ( ( c_Int_OBit0(_u10293) != c_Int_OBit0(_u10295)) | ( _u10293 = _u10295) )).
% 43.38/43.64 cnf(matrix-5119, plain, ( ( _u10294 != _u10296) | ( c_Int_OBit0(_u10294) = c_Int_OBit0(_u10296)) )).
% 43.38/43.64 cnf(matrix-5120, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u10297)), c_Int_OBit0(_u10298)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10297), _u10298))) )).
% 43.38/43.64 cnf(matrix-5121, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10301)), c_Int_OBit0(_u10303))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10301), _u10303)) )).
% 43.38/43.64 cnf(matrix-5122, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10302), _u10304)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10302)), c_Int_OBit0(_u10304))) )).
% 43.38/43.64 cnf(matrix-5123, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10307)), c_Int_OBit0(_u10309))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10307), _u10309)) )).
% 43.38/43.64 cnf(matrix-5124, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10308), _u10310)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10308)), c_Int_OBit0(_u10310))) )).
% 43.38/43.64 cnf(matrix-5125, plain, ( ( c_Int_OBit0(_u10312) != c_Int_OPls) | ( _u10312 = c_Int_OPls) )).
% 43.38/43.64 cnf(matrix-5126, plain, ( ( _u10313 != c_Int_OPls) | ( c_Int_OBit0(_u10313) = c_Int_OPls) )).
% 43.38/43.64 cnf(matrix-5127, plain, ( ( c_Int_OPls != c_Int_OBit0(_u10315)) | ( c_Int_OPls = _u10315) )).
% 43.38/43.64 cnf(matrix-5128, plain, ( ( c_Int_OPls != _u10316) | ( c_Int_OPls = c_Int_OBit0(_u10316)) )).
% 43.38/43.64 cnf(matrix-5129, plain, ( ( c_Int_OBit0(c_Int_OPls) = c_Int_OPls) )).
% 43.38/43.64 cnf(matrix-5130, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10318)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10318), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5131, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10319), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10319)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5132, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10321))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10321)) )).
% 43.38/43.64 cnf(matrix-5133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10322)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10322))) )).
% 43.38/43.64 cnf(matrix-5134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10324)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10324), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5135, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10325), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10325)), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5136, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10328)), c_Int_OBit1(_u10330))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10328), _u10330)) )).
% 43.38/43.64 cnf(matrix-5137, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10329), _u10331)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10329)), c_Int_OBit1(_u10331))) )).
% 43.38/43.64 cnf(matrix-5138, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10334)), c_Int_OBit1(_u10336))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10334), _u10336)) )).
% 43.38/43.64 cnf(matrix-5139, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10335), _u10337)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10335)), c_Int_OBit1(_u10337))) )).
% 43.38/43.64 cnf(matrix-5140, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10339)), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10339), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5141, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10340), c_Int_OPls)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10340)), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5142, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10342))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10342)) )).
% 43.38/43.64 cnf(matrix-5143, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), _u10343)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10343))) )).
% 43.38/43.64 cnf(matrix-5144, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10346)), c_Int_OBit0(_u10348))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10346), _u10348)) )).
% 43.38/43.64 cnf(matrix-5145, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10347), _u10349)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10347)), c_Int_OBit0(_u10349))) )).
% 43.38/43.64 cnf(matrix-5146, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10352)), c_Int_OBit0(_u10354))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10352), _u10354)) )).
% 43.38/43.64 cnf(matrix-5147, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10353), _u10355)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10353)), c_Int_OBit0(_u10355))) )).
% 43.38/43.64 cnf(matrix-5148, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(_u10356)), c_Int_OBit1(_u10357)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10356), _u10357))) )).
% 43.38/43.64 cnf(matrix-5149, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u10358)), c_Int_OBit0(_u10359)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10358), _u10359))) )).
% 43.38/43.64 cnf(matrix-5150, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit0(_u10360)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), _u10360))) )).
% 43.38/43.64 cnf(matrix-5151, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u10361)), c_Int_OBit0(_u10362)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10361), _u10362))) )).
% 43.38/43.64 cnf(matrix-5152, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit1(_u10363)), c_Int_OBit1(_u10364)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10363), _u10364))) )).
% 43.38/43.64 cnf(matrix-5153, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10365))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10366))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10365)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10366))) )).
% 43.38/43.64 cnf(matrix-5154, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10368)))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10368))) )).
% 43.38/43.64 cnf(matrix-5155, plain, ( ~hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10369))) | hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10369)))) )).
% 43.38/43.64 cnf(matrix-5156, plain, ( ( c_Int_Opred(c_Int_OBit0(_u10370)) = c_Int_OBit1(c_Int_Opred(_u10370))) )).
% 43.38/43.64 cnf(matrix-5157, plain, ( ( c_Int_Opred(c_Int_OBit1(_u10371)) = c_Int_OBit0(_u10371)) )).
% 43.38/43.64 cnf(matrix-5158, plain, ( ~class_Int_Onumber__ring(_u10372) | ~class_Int_Oring__char__0(_u10372) | ~c_Int_Oiszero(_u10372, hAPP(c_Int_Onumber__class_Onumber__of(_u10372), c_Int_OBit0(_u10373))) | c_Int_Oiszero(_u10372, hAPP(c_Int_Onumber__class_Onumber__of(_u10372), _u10373)) )).
% 43.38/43.64 cnf(matrix-5159, plain, ( ~class_Int_Onumber__ring(_u10372) | ~class_Int_Oring__char__0(_u10372) | ~c_Int_Oiszero(_u10372, hAPP(c_Int_Onumber__class_Onumber__of(_u10372), _u10373)) | c_Int_Oiszero(_u10372, hAPP(c_Int_Onumber__class_Onumber__of(_u10372), c_Int_OBit0(_u10373))) )).
% 43.38/43.64 cnf(matrix-5160, plain, ( ( c_Int_Osucc(c_Int_OBit1(_u10374)) = c_Int_OBit0(c_Int_Osucc(_u10374))) )).
% 43.38/43.64 cnf(matrix-5161, plain, ( ( c_Int_Osucc(c_Int_OBit0(_u10375)) = c_Int_OBit1(_u10375)) )).
% 43.38/43.64 cnf(matrix-5162, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10376)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat, tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10376)), 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)))) )).
% 43.38/43.64 cnf(matrix-5163, plain, ( ~class_Int_Onumber__ring(_u10377) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10377), c_Int_OBit0(_u10378)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10377), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10377), c_Groups_Ozero__class_Ozero(_u10377)), hAPP(c_Int_Onumber__class_Onumber__of(_u10377), _u10378))), hAPP(c_Int_Onumber__class_Onumber__of(_u10377), _u10378))) )).
% 43.38/43.64 cnf(matrix-5164, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10381)), c_Int_OBit1(_u10383))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10381), _u10383)) )).
% 43.38/43.64 cnf(matrix-5165, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10382), _u10384)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10382)), c_Int_OBit1(_u10384))) )).
% 43.38/43.64 cnf(matrix-5166, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10387)), c_Int_OBit1(_u10389))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10387), _u10389)) )).
% 43.38/43.64 cnf(matrix-5167, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10388), _u10390)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10388)), c_Int_OBit1(_u10390))) )).
% 43.38/43.64 cnf(matrix-5168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10393)), c_Int_OBit0(_u10395))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10393), _u10395)) )).
% 43.38/43.64 cnf(matrix-5169, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10394), _u10396)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10394)), c_Int_OBit0(_u10396))) )).
% 43.38/43.64 cnf(matrix-5170, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10399)), c_Int_OBit0(_u10401))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10399), _u10401)) )).
% 43.38/43.64 cnf(matrix-5171, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10400), _u10402)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10400)), c_Int_OBit0(_u10402))) )).
% 43.38/43.64 cnf(matrix-5172, 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)))) )).
% 43.38/43.64 cnf(matrix-5173, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OBit1(_u10403)), _u10404) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit0(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10403), _u10404))), _u10404)) )).
% 43.38/43.64 cnf(matrix-5174, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OBit0(_u10405)), c_Int_OBit1(_u10406)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_Opred(_u10405)), _u10406))) )).
% 43.38/43.64 cnf(matrix-5175, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OBit1(_u10407)), c_Int_OBit1(_u10408)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10407), c_Int_Osucc(_u10408)))) )).
% 43.38/43.64 cnf(matrix-5176, plain, ( ~class_Int_Onumber__ring(_u10409) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10409), _u10410), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10411))) = hAPP(hAPP(c_HOL_OLet(_u10409, _u10409), hAPP(hAPP(c_Power_Opower__class_Opower(_u10409), _u10410), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10411))), hAPP(hAPP(c_COMBS(_u10409, _u10409, _u10409), c_Groups_Otimes__class_Otimes(_u10409)), c_COMBI(_u10409)))) )).
% 43.38/43.64 cnf(matrix-5177, plain, ( ( hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10412), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10413))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint), _u10412), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10413))), 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)))) )).
% 43.38/43.64 cnf(matrix-5178, plain, ( ~class_Int_Onumber__ring(_u10414) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10414), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10414), c_Groups_Oone__class_Oone(_u10414)), c_Groups_Oone__class_Oone(_u10414))), hAPP(c_Int_Onumber__class_Onumber__of(_u10414), _u10415)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10414), c_Int_OBit0(_u10415))) )).
% 43.38/43.64 cnf(matrix-5179, 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), _u10416))) | 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(_u10416)))) )).
% 43.38/43.64 cnf(matrix-5180, 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), _u10416))) | 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(_u10416)))) )).
% 43.38/43.64 cnf(matrix-5181, 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)))) )).
% 43.38/43.64 cnf(matrix-5182, plain, ( ~class_Int_Onumber__ring(_u10417) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10417), hAPP(c_Int_Onumber__class_Onumber__of(_u10417), _u10418)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(_u10419))) = hAPP(hAPP(c_HOL_OLet(_u10417, _u10417), hAPP(hAPP(c_Power_Opower__class_Opower(_u10417), hAPP(c_Int_Onumber__class_Onumber__of(_u10417), _u10418)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u10419))), hAPP(hAPP(c_COMBS(_u10417, _u10417, _u10417), c_Groups_Otimes__class_Otimes(_u10417)), c_COMBI(_u10417)))) )).
% 43.38/43.64 cnf(matrix-5183, plain, ( ~class_Int_Onumber__ring(_u10420) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10420), hAPP(c_Int_Onumber__class_Onumber__of(_u10420), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10421) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10420), _u10421), _u10421)) )).
% 43.38/43.64 cnf(matrix-5184, plain, ( ~class_Int_Onumber__ring(_u10422) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10422), _u10423), hAPP(c_Int_Onumber__class_Onumber__of(_u10422), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10422), _u10423), _u10423)) )).
% 43.38/43.64 cnf(matrix-5185, plain, ( ~class_Int_Onumber__ring(_u10424) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10424), c_Groups_Oone__class_Oone(_u10424)), c_Groups_Oone__class_Oone(_u10424)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10424), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) )).
% 43.38/43.64 cnf(matrix-5186, plain, ( ~class_Rings_Osemiring__1(_u10425) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10425), c_Groups_Ozero__class_Ozero(_u10425)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u10425)) )).
% 43.38/43.64 cnf(matrix-5187, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10426) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10426), _u10427), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Ozero__class_Ozero(_u10426)) | ( _u10427 = c_Groups_Ozero__class_Ozero(_u10426)) )).
% 43.38/43.64 cnf(matrix-5188, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10426) | ( _u10427 != c_Groups_Ozero__class_Ozero(_u10426)) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10426), _u10427), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Ozero__class_Ozero(_u10426)) )).
% 43.38/43.64 cnf(matrix-5189, 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)))) )).
% 43.38/43.64 cnf(matrix-5190, 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)))) )).
% 43.38/43.64 cnf(matrix-5191, plain, ( ~class_Groups_Omonoid__mult(_u10428) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10428), _u10429), 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(_u10428), _u10429), _u10429)) )).
% 43.38/43.64 cnf(matrix-5192, plain, ( ~class_Rings_Ocomm__semiring__1(_u10430) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10430), _u10431), _u10431) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10430), _u10431), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.38/43.64 cnf(matrix-5193, 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))))) )).
% 43.38/43.64 cnf(matrix-5194, 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)))), _u10432) = hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10432))) )).
% 43.38/43.64 cnf(matrix-5195, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10433), 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, _u10433))) )).
% 43.38/43.64 cnf(matrix-5196, plain, ( ~class_Rings_Osemiring__1(_u10434) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10434), c_Groups_Oone__class_Oone(_u10434)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10434)) )).
% 43.38/43.64 cnf(matrix-5197, plain, ( ~class_Rings_Oring__1(_u10435) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10435), hAPP(c_Groups_Ouminus__class_Ouminus(_u10435), _u10436)), 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(_u10435), _u10436), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.38/43.64 cnf(matrix-5198, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u10437), 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), _u10437), _u10437)) )).
% 43.38/43.64 cnf(matrix-5199, 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)))), _u10438) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10438), _u10438)) )).
% 43.38/43.64 cnf(matrix-5200, plain, ( ~class_Groups_Omonoid__mult(_u10439) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10439), _u10440), 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)))), _u10441)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10439), hAPP(hAPP(c_Power_Opower__class_Opower(_u10439), _u10440), _u10441)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.38/43.64 cnf(matrix-5201, 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))))) )).
% 43.38/43.64 cnf(matrix-5202, 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))))) )).
% 43.38/43.64 cnf(matrix-5203, plain, ( ~class_Rings_Olinordered__idom(_u10442) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10442), hAPP(c_Groups_Oabs__class_Oabs(_u10442), _u10443)), 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(_u10442), _u10443), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.38/43.64 cnf(matrix-5204, plain, ( ~class_Rings_Olinordered__idom(_u10444) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10444), hAPP(hAPP(c_Power_Opower__class_Opower(_u10444), _u10445), 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(_u10444), _u10445), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.38/43.64 cnf(matrix-5205, 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)))) )).
% 43.38/43.64 cnf(matrix-5206, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10446)), 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, _u10446, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) )).
% 43.38/43.64 cnf(matrix-5207, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_OSuc, _u10447))), 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), _u10447), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.38/43.64 cnf(matrix-5208, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10448)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10449))) = hAPP(hAPP(c_Groups_Otimes__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), _u10448), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10449)))) )).
% 43.38/43.64 cnf(matrix-5209, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u10450), _u10450)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = _u10450) )).
% 43.38/43.64 cnf(matrix-5210, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10451) | ~class_Int_Onumber__ring(_u10451) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10451), c_Groups_Ozero__class_Ozero(_u10451)), _u10452)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10451), c_Groups_Ozero__class_Ozero(_u10451)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10451), _u10452), hAPP(c_Int_Onumber__class_Onumber__of(_u10451), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.38/43.64 cnf(matrix-5211, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10453) | ~class_Int_Onumber__ring(_u10453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10453), c_Groups_Ozero__class_Ozero(_u10453)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10453), _u10454), hAPP(c_Int_Onumber__class_Onumber__of(_u10453), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10453), c_Groups_Ozero__class_Ozero(_u10453)), _u10454)) )).
% 43.38/43.64 cnf(matrix-5212, plain, ( ~class_Fields_Olinordered__field__inverse__zero(_u10453) | ~class_Int_Onumber__ring(_u10453) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10453), c_Groups_Ozero__class_Ozero(_u10453)), _u10454)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10453), c_Groups_Ozero__class_Ozero(_u10453)), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10453), _u10454), hAPP(c_Int_Onumber__class_Onumber__of(_u10453), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.38/43.64 cnf(matrix-5213, plain, ( ~class_Rings_Olinordered__semidom(_u10455) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10455), _u10456), 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(_u10455), _u10457), 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(_u10455), c_Groups_Ozero__class_Ozero(_u10455)), _u10456)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10455), c_Groups_Ozero__class_Ozero(_u10455)), _u10457)) | ( _u10456 = _u10457) )).
% 43.38/43.64 cnf(matrix-5214, plain, ( ~class_Rings_Olinordered__semidom(_u10458) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10458), hAPP(hAPP(c_Power_Opower__class_Opower(_u10458), _u10459), 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(_u10458), _u10460), 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(_u10458), c_Groups_Ozero__class_Ozero(_u10458)), _u10460)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10458), _u10459), _u10460)) )).
% 43.38/43.64 cnf(matrix-5215, plain, ( ~class_Rings_Olinordered__idom(_u10461) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10461), c_Groups_Ozero__class_Ozero(_u10461)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10461), _u10462), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.38/43.64 cnf(matrix-5216, plain, ( ~class_Rings_Olinordered__idom(_u10463) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10463), hAPP(hAPP(c_Power_Opower__class_Opower(_u10463), _u10464), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))), c_Groups_Ozero__class_Ozero(_u10463))) )).
% 43.38/43.64 cnf(matrix-5217, plain, ( ~class_Rings_Olinordered__idom(_u10465) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10465), c_Groups_Ozero__class_Ozero(_u10465)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10465), _u10466), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) | ( _u10466 != c_Groups_Ozero__class_Ozero(_u10465)) )).
% 43.38/43.64 cnf(matrix-5218, plain, ( ~class_Rings_Olinordered__idom(_u10465) | ( _u10466 = c_Groups_Ozero__class_Ozero(_u10465)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10465), c_Groups_Ozero__class_Ozero(_u10465)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10465), _u10466), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.38/43.64 cnf(matrix-5219, plain, ( ~class_Rings_Olinordered__idom(_u10467) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10467), hAPP(hAPP(c_Power_Opower__class_Opower(_u10467), _u10468), 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(_u10467), _u10469), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u10467)) | ( _u10468 = c_Groups_Ozero__class_Ozero(_u10467)) )).
% 43.38/43.64 cnf(matrix-5220, plain, ( ~class_Rings_Olinordered__idom(_u10467) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10467), hAPP(hAPP(c_Power_Opower__class_Opower(_u10467), _u10468), 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(_u10467), _u10469), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) != c_Groups_Ozero__class_Ozero(_u10467)) | ( _u10469 = c_Groups_Ozero__class_Ozero(_u10467)) )).
% 43.38/43.64 cnf(matrix-5221, plain, ( ~class_Rings_Olinordered__idom(_u10467) | ( _u10468 != c_Groups_Ozero__class_Ozero(_u10467)) | ( _u10469 != c_Groups_Ozero__class_Ozero(_u10467)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10467), hAPP(hAPP(c_Power_Opower__class_Opower(_u10467), _u10468), 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(_u10467), _u10469), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) = c_Groups_Ozero__class_Ozero(_u10467)) )).
% 43.38/43.64 cnf(matrix-5222, plain, ( ~class_Groups_Omonoid__mult(_u10470) | ~class_Int_Onumber(_u10470) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10470), hAPP(c_Int_Onumber__class_Onumber__of(_u10470), _u10471)), 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(_u10470), hAPP(c_Int_Onumber__class_Onumber__of(_u10470), _u10471)), hAPP(c_Int_Onumber__class_Onumber__of(_u10470), _u10471))) )).
% 43.38/43.64 cnf(matrix-5223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u10472), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) | ( _u10472 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u10472 = hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.64 cnf(matrix-5224, 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)))) )).
% 43.38/43.64 cnf(matrix-5225, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10473) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10473), _u10474), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) != c_Groups_Oone__class_Oone(_u10473)) | ( _u10474 = c_Groups_Oone__class_Oone(_u10473)) | ( _u10474 = hAPP(c_Groups_Ouminus__class_Ouminus(_u10473), c_Groups_Oone__class_Oone(_u10473))) )).
% 43.38/43.64 cnf(matrix-5226, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10473) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10473), _u10474), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10473)) | ( _u10474 != c_Groups_Oone__class_Oone(_u10473)) )).
% 43.38/43.64 cnf(matrix-5227, plain, ( ~class_Rings_Oring__1__no__zero__divisors(_u10473) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10473), _u10474), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) = c_Groups_Oone__class_Oone(_u10473)) | ( _u10474 != hAPP(c_Groups_Ouminus__class_Ouminus(_u10473), c_Groups_Oone__class_Oone(_u10473))) )).
% 43.38/43.64 cnf(matrix-5228, plain, ( ~class_Rings_Ocomm__semiring__1(_u10475) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10475), _u10476), 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)))), _u10477)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10475), hAPP(hAPP(c_Power_Opower__class_Opower(_u10475), _u10476), _u10477)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10475), _u10476), _u10477))) )).
% 43.38/43.64 cnf(matrix-5229, plain, ( ~class_Rings_Oring__1(_u10478) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10478), hAPP(c_Groups_Ouminus__class_Ouminus(_u10478), _u10479)), 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)))), _u10480)) = hAPP(hAPP(c_Power_Opower__class_Opower(_u10478), _u10479), 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)))), _u10480))) )).
% 43.38/43.64 cnf(matrix-5230, plain, ( ~class_Rings_Olinordered__semidom(_u10481) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10481), hAPP(hAPP(c_Power_Opower__class_Opower(_u10481), _u10482), 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(_u10481), _u10483), 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(_u10481), c_Groups_Ozero__class_Ozero(_u10481)), _u10483)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10481), _u10482), _u10483)) )).
% 43.38/43.64 cnf(matrix-5231, plain, ( ~class_Rings_Olinordered__idom(_u10484) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10484), c_Groups_Ozero__class_Ozero(_u10484)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10484), hAPP(hAPP(c_Power_Opower__class_Opower(_u10484), _u10485), 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(_u10484), _u10486), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 43.38/43.64 cnf(matrix-5232, plain, ( ~class_Rings_Olinordered__idom(_u10487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10487), hAPP(hAPP(c_Power_Opower__class_Opower(_u10487), _u10488), 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(_u10487), _u10489), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u10487))) | ( _u10488 = c_Groups_Ozero__class_Ozero(_u10487)) )).
% 43.38/43.64 cnf(matrix-5233, plain, ( ~class_Rings_Olinordered__idom(_u10487) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10487), hAPP(hAPP(c_Power_Opower__class_Opower(_u10487), _u10488), 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(_u10487), _u10489), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u10487))) | ( _u10489 = c_Groups_Ozero__class_Ozero(_u10487)) )).
% 43.38/43.64 cnf(matrix-5234, plain, ( ~class_Rings_Olinordered__idom(_u10487) | ( _u10488 != c_Groups_Ozero__class_Ozero(_u10487)) | ( _u10489 != c_Groups_Ozero__class_Ozero(_u10487)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10487), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10487), hAPP(hAPP(c_Power_Opower__class_Opower(_u10487), _u10488), 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(_u10487), _u10489), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u10487))) )).
% 43.38/43.64 cnf(matrix-5235, plain, ( ~class_Rings_Olinordered__idom(_u10490) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10490), c_Groups_Ozero__class_Ozero(_u10490)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10490), hAPP(hAPP(c_Power_Opower__class_Opower(_u10490), _u10491), 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(_u10490), _u10492), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u10491 != c_Groups_Ozero__class_Ozero(_u10490)) | ( _u10492 != c_Groups_Ozero__class_Ozero(_u10490)) )).
% 43.38/43.64 cnf(matrix-5236, plain, ( ~class_Rings_Olinordered__idom(_u10490) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10490), c_Groups_Ozero__class_Ozero(_u10490)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10490), hAPP(hAPP(c_Power_Opower__class_Opower(_u10490), _u10491), 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(_u10490), _u10492), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u10491 = c_Groups_Ozero__class_Ozero(_u10490)) )).
% 43.38/43.64 cnf(matrix-5237, plain, ( ~class_Rings_Olinordered__idom(_u10490) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10490), c_Groups_Ozero__class_Ozero(_u10490)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10490), hAPP(hAPP(c_Power_Opower__class_Opower(_u10490), _u10491), 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(_u10490), _u10492), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) | ( _u10492 = c_Groups_Ozero__class_Ozero(_u10490)) )).
% 43.38/43.64 cnf(matrix-5238, plain, ( ~class_Rings_Olinordered__idom(_u10493) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10493), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10493), hAPP(hAPP(c_Power_Opower__class_Opower(_u10493), _u10494), 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(_u10493), _u10495), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))), c_Groups_Ozero__class_Ozero(_u10493))) )).
% 43.38/43.64 cnf(matrix-5239, plain, ( ~class_Int_Onumber__ring(_u10496) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10496), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10496), _u10497), _u10498)), 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(_u10496), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10496), hAPP(hAPP(c_Power_Opower__class_Opower(_u10496), _u10497), 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(_u10496), _u10498), 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(_u10496), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10496), hAPP(c_Int_Onumber__class_Onumber__of(_u10496), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10497)), _u10498))) )).
% 43.38/43.64 cnf(matrix-5240, plain, ( ~class_Rings_Olinordered__idom(_u10499) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10499), c_Groups_Ozero__class_Ozero(_u10499)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10499), _u10500), 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)))), _u10501)))) )).
% 43.38/43.64 cnf(matrix-5241, plain, ( ~class_Rings_Ocomm__semiring__1(_u10502) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10502), _u10503), 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)))), _u10504))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10502), _u10503), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10502), hAPP(hAPP(c_Power_Opower__class_Opower(_u10502), _u10503), _u10504)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10502), _u10503), _u10504)))) )).
% 43.38/43.64 cnf(matrix-5242, plain, ( ~class_Groups_Omonoid__mult(_u10505) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10505), _u10506), 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)))), _u10507))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10505), _u10506), hAPP(hAPP(c_Power_Opower__class_Opower(_u10505), hAPP(hAPP(c_Power_Opower__class_Opower(_u10505), _u10506), _u10507)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.38/43.64 cnf(matrix-5243, plain, ( ~class_Rings_Oring__1(_u10508) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10508), hAPP(c_Groups_Ouminus__class_Ouminus(_u10508), c_Groups_Oone__class_Oone(_u10508))), 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)))), _u10509)) = c_Groups_Oone__class_Oone(_u10508)) )).
% 43.38/43.64 cnf(matrix-5244, 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), _u10512))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10514))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10512))) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10514)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10512))) )).
% 43.38/43.64 cnf(matrix-5245, 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), _u10513))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit1(_u10515))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(_u10513))) = 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), _u10515)), c_Groups_Oone__class_Oone(tc_Int_Oint))), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u10513))) )).
% 43.38/43.64 cnf(matrix-5246, 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, _u10517, 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, _u10517, 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)) )).
% 43.38/43.64 cnf(matrix-5247, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u10518, 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, _u10518, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.38/43.64 cnf(matrix-5248, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u10519)) | 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), _u10519), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.38/43.64 cnf(matrix-5249, plain, ( ~class_Int_Onumber__ring(_u10520) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10520), hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u10520), _u10521), _u10522)), 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(_u10520), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10520), hAPP(hAPP(c_Power_Opower__class_Opower(_u10520), _u10521), 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(_u10520), _u10522), 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(_u10520), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10520), hAPP(c_Int_Onumber__class_Onumber__of(_u10520), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10521)), _u10522))) )).
% 43.38/43.64 cnf(matrix-5250, plain, ( ~class_Rings_Olinordered__idom(_u10523) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10523), c_Groups_Ozero__class_Ozero(_u10523)), hAPP(hAPP(c_Power_Opower__class_Opower(_u10523), _u10524), 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)))), _u10525))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u10523), c_Groups_Ozero__class_Ozero(_u10523)), _u10524)) )).
% 43.38/43.64 cnf(matrix-5251, plain, ( ~class_Rings_Olinordered__idom(_u10526) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10526), _u10527), c_Groups_Ozero__class_Ozero(_u10526))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u10526), hAPP(hAPP(c_Power_Opower__class_Opower(_u10526), _u10527), 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)))), _u10528)))), c_Groups_Ozero__class_Ozero(_u10526))) )).
% 43.38/43.64 cnf(matrix-5252, plain, ( ~class_Rings_Oring__1(_u10529) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10529), hAPP(c_Groups_Ouminus__class_Ouminus(_u10529), c_Groups_Oone__class_Oone(_u10529))), 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)))), _u10530))) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10529), c_Groups_Oone__class_Oone(_u10529))) )).
% 43.38/43.64 cnf(matrix-5253, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u10531)) | 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), _u10531), 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)))))) )).
% 43.38/43.64 cnf(matrix-5254, plain, ( ~class_Rings_Osemiring__1(_u10532) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10533)) | ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10532), 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)))), _u10533))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10532), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10532), hAPP(c_Int_Onat, _u10533))), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10532), hAPP(c_Int_Onat, _u10533)))) )).
% 43.38/43.64 cnf(matrix-5255, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10534)) | ( 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)))), _u10535)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10534)) = 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, _u10535, _u10534)))) )).
% 43.38/43.64 cnf(matrix-5256, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10536), 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)))), _u10537))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u10536)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10537), c_Groups_Oone__class_Oone(tc_Int_Oint))), _u10536)) )).
% 43.38/43.64 cnf(matrix-5257, plain, ( ( _u10539 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Code__Numeral_Oint__of, _u10539) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5258, plain, ( ( _u10540 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u10540, 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, _u10540) = hAPP(hAPP(c_Groups_Otimes__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), _u10540), hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) )).
% 43.38/43.64 cnf(matrix-5259, plain, ( ( _u10540 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u10540, 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, _u10540) = 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), _u10540), 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))) )).
% 43.38/43.64 cnf(matrix-5260, plain, ( ~class_Rings_Oring__1(_u10541) | ( _u10542 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10541), _u10542) = c_Groups_Ozero__class_Ozero(_u10541)) )).
% 43.38/43.64 cnf(matrix-5261, plain, ( ~class_Rings_Oring__1(_u10541) | ( _u10542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10541), _u10542) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10541), hAPP(c_Int_Oring__1__class_Oof__int(_u10541), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10542)))) )).
% 43.38/43.64 cnf(matrix-5262, plain, ( ~class_Rings_Oring__1(_u10541) | ( _u10542 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10542), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10541), _u10542) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint, tc_Int_Oint, _u10541), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(tc_Int_Oint, tc_fun(_u10541, _u10541)), tc_fun(tc_Int_Oint, _u10541)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u10541, _u10541), _u10541), tc_fun(tc_fun(tc_Int_Oint, tc_fun(_u10541, _u10541)), tc_fun(tc_Int_Oint, _u10541)), tc_Int_Oint), c_COMBB(tc_fun(_u10541, _u10541), _u10541, tc_Int_Oint)), hAPP(hAPP(c_COMBB(_u10541, tc_fun(tc_fun(_u10541, _u10541), _u10541), tc_Int_Oint), c_HOL_OLet(_u10541, _u10541)), c_Int_Oring__1__class_Oof__int(_u10541)))), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u10541, _u10541), tc_fun(_u10541, _u10541)), hAPP(hAPP(c_COMBB(tc_fun(_u10541, tc_fun(_u10541, _u10541)), tc_fun(tc_fun(_u10541, _u10541), tc_fun(_u10541, _u10541)), tc_Int_Oint), c_COMBS(_u10541, _u10541, _u10541)), hAPP(hAPP(c_COMBC(tc_Int_Oint, tc_fun(_u10541, _u10541), tc_fun(_u10541, tc_fun(_u10541, _u10541))), hAPP(hAPP(c_COMBB(tc_fun(_u10541, tc_fun(_u10541, _u10541)), tc_fun(tc_fun(_u10541, _u10541), tc_fun(_u10541, tc_fun(_u10541, _u10541))), tc_Int_Oint), c_COMBB(_u10541, tc_fun(_u10541, _u10541), _u10541)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u10541, tc_fun(_u10541, _u10541)), tc_Int_Oint), c_If(_u10541)), 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(_u10541, _u10541, _u10541), c_Groups_Oplus__class_Oplus(_u10541)), c_COMBI(_u10541))))), hAPP(hAPP(c_COMBC(_u10541, _u10541, _u10541), hAPP(hAPP(c_COMBB(_u10541, tc_fun(_u10541, _u10541), _u10541), c_Groups_Oplus__class_Oplus(_u10541)), hAPP(hAPP(c_COMBS(_u10541, _u10541, _u10541), c_Groups_Oplus__class_Oplus(_u10541)), c_COMBI(_u10541)))), c_Groups_Oone__class_Oone(_u10541))))), c_Divides_Odivmod__int(_u10542, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))) )).
% 43.38/43.64 cnf(matrix-5263, plain, ( ~class_Int_Onumber__ring(_u10543) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10543), hAPP(c_Int_Onumber__class_Onumber__of(_u10543), 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)))), _u10544))) = hAPP(c_Int_Onumber__class_Onumber__of(_u10543), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5264, plain, ( ~class_Int_Onumber__ring(_u10545) | ( hAPP(hAPP(c_Power_Opower__class_Opower(_u10545), hAPP(c_Int_Onumber__class_Onumber__of(_u10545), 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)))), _u10546)) = c_Groups_Oone__class_Oone(_u10545)) )).
% 43.38/43.64 cnf(matrix-5265, plain, ( ( c_Int_OMin != c_Int_OBit0(_u10547)) )).
% 43.38/43.64 cnf(matrix-5266, plain, ( ( c_Int_OBit0(_u10548) != c_Int_OMin) )).
% 43.38/43.64 cnf(matrix-5267, plain, ( ( c_Int_OMin != c_Int_OPls) )).
% 43.38/43.64 cnf(matrix-5268, plain, ( ( c_Int_OPls != c_Int_OMin) )).
% 43.38/43.64 cnf(matrix-5269, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5270, 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)) )).
% 43.38/43.64 cnf(matrix-5271, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5272, plain, ( ( c_Int_OBit1(c_Int_OMin) = c_Int_OMin) )).
% 43.38/43.64 cnf(matrix-5273, plain, ( ( c_Int_OMin != c_Int_OBit1(_u10550)) | ( c_Int_OMin = _u10550) )).
% 43.38/43.64 cnf(matrix-5274, plain, ( ( c_Int_OMin != _u10551) | ( c_Int_OMin = c_Int_OBit1(_u10551)) )).
% 43.38/43.64 cnf(matrix-5275, plain, ( ( c_Int_OBit1(_u10553) != c_Int_OMin) | ( _u10553 = c_Int_OMin) )).
% 43.38/43.64 cnf(matrix-5276, plain, ( ( _u10554 != c_Int_OMin) | ( c_Int_OBit1(_u10554) = c_Int_OMin) )).
% 43.38/43.64 cnf(matrix-5277, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5278, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5279, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5280, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10556)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10556), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5281, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10557), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit1(_u10557)), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5282, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u10559))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u10559)) )).
% 43.38/43.64 cnf(matrix-5283, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), _u10560)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u10560))) )).
% 43.38/43.64 cnf(matrix-5284, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5285, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OPls), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5286, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u10562))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10562)) )).
% 43.38/43.64 cnf(matrix-5287, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10563)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u10563))) )).
% 43.38/43.64 cnf(matrix-5288, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10565)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10565), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5289, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10566), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit1(_u10566)), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5290, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10568)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10568), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5291, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10569), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OBit0(_u10569)), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5292, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u10571))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10571)) )).
% 43.38/43.64 cnf(matrix-5293, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10572)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u10572))) )).
% 43.38/43.64 cnf(matrix-5294, 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)) )).
% 43.38/43.64 cnf(matrix-5295, plain, ( ( c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5296, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), c_Int_OMin), _u10573) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10573)) )).
% 43.38/43.64 cnf(matrix-5297, plain, ( hBOOL(hAPP(c_Nat__Numeral_Oneg, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin))) )).
% 43.38/43.64 cnf(matrix-5298, plain, ( ( c_Int_Opred(c_Int_OPls) = c_Int_OMin) )).
% 43.38/43.64 cnf(matrix-5299, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10574), c_Int_OMin) = c_Int_Opred(_u10574)) )).
% 43.38/43.64 cnf(matrix-5300, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), c_Int_OMin), _u10575) = c_Int_Opred(_u10575)) )).
% 43.38/43.64 cnf(matrix-5301, plain, ( ( c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5302, plain, ( ~class_Int_Onumber__ring(_u10576) | ~c_Int_Oiszero(_u10576, hAPP(c_Int_Onumber__class_Onumber__of(_u10576), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5303, plain, ( ( c_Int_Osucc(c_Int_OMin) = c_Int_OPls) )).
% 43.38/43.64 cnf(matrix-5304, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10577), c_Int_OMin) = c_Int_Osucc(_u10577)) )).
% 43.38/43.64 cnf(matrix-5305, plain, ( ~class_Int_Onumber__ring(_u10578) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10578), hAPP(c_Int_Onumber__class_Onumber__of(_u10578), c_Int_OMin)), _u10579) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10578), _u10579)) )).
% 43.38/43.64 cnf(matrix-5306, plain, ( ~class_Int_Onumber__ring(_u10580) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10580), _u10581), hAPP(c_Int_Onumber__class_Onumber__of(_u10580), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10580), _u10581)) )).
% 43.38/43.64 cnf(matrix-5307, plain, ( ~class_Int_Onumber__ring(_u10582) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u10582), c_Groups_Oone__class_Oone(_u10582)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10582), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5308, plain, ( ~class_Int_Onumber__ring(_u10583) | ( hAPP(c_Int_Onumber__class_Onumber__of(_u10583), c_Int_OMin) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10583), c_Groups_Oone__class_Oone(_u10583))) )).
% 43.38/43.64 cnf(matrix-5309, plain, ( ~class_Int_Onumber__ring(_u10584) | ~class_Rings_Olinordered__idom(_u10584) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10584), hAPP(c_Int_Onumber__class_Onumber__of(_u10584), c_Int_OMin)) = c_Groups_Oone__class_Oone(_u10584)) )).
% 43.38/43.64 cnf(matrix-5310, plain, ( ~class_Fields_Ofield__inverse__zero(_u10585) | ~class_Int_Onumber__ring(_u10585) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10585), _u10586), hAPP(c_Int_Onumber__class_Onumber__of(_u10585), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10585), _u10586)) )).
% 43.38/43.64 cnf(matrix-5311, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10588)), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10588), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5312, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10589), c_Int_OMin)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OBit0(_u10589)), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5313, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u10591))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10591)) )).
% 43.38/43.64 cnf(matrix-5314, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Int_OMin), _u10592)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u10592))) )).
% 43.38/43.64 cnf(matrix-5315, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10593, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5316, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OPls), c_Int_OBit1(_u10594)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u10594))) )).
% 43.38/43.64 cnf(matrix-5317, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), c_Int_OMin) = c_Int_OBit1(c_Int_OPls)) )).
% 43.38/43.64 cnf(matrix-5318, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10599) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10597 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10597 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5319, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10599) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10597 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10599 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5320, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10599) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10599 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10597 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5321, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10597), _u10599) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10599 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10599 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5322, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10598), _u10600) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10598 != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10600 != c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5323, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10598), _u10600) = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10598 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) | ( _u10600 != hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5324, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10601), _u10602) != c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10601 = c_Groups_Oone__class_Oone(tc_Int_Oint)) | ( _u10601 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5325, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit0(_u10603)) = c_Int_OBit1(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u10603))) )).
% 43.38/43.64 cnf(matrix-5326, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), c_Int_OBit1(_u10604)) = c_Int_OBit0(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), c_Int_OMin), _u10604))) )).
% 43.38/43.64 cnf(matrix-5327, plain, ( ~class_Int_Onumber__ring(_u10605) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u10605), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Int_Onumber__class_Onumber__of(_u10605), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5328, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10606), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10606)) )).
% 43.38/43.64 cnf(matrix-5329, 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)) )).
% 43.38/43.64 cnf(matrix-5330, plain, ( ~class_Fields_Ofield__inverse__zero(_u10607) | ~class_Int_Onumber__ring(_u10607) | ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10607), hAPP(c_Int_Onumber__class_Onumber__of(_u10607), c_Int_OMin)), _u10608) = hAPP(c_Groups_Ouminus__class_Ouminus(_u10607), hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u10607), c_Groups_Oone__class_Oone(_u10607)), _u10608))) )).
% 43.38/43.64 cnf(matrix-5331, plain, ( ~class_Int_Onumber__ring(_u10609) | ~class_Rings_Olinordered__idom(_u10609) | ( hAPP(c_Groups_Oabs__class_Oabs(_u10609), hAPP(hAPP(c_Power_Opower__class_Opower(_u10609), hAPP(c_Int_Onumber__class_Onumber__of(_u10609), c_Int_OMin)), _u10610)) = c_Groups_Oone__class_Oone(_u10609)) )).
% 43.38/43.64 cnf(matrix-5332, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10611)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)), _u10611) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5333, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10612)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10612), _u10613)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10612), _u10613) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin)) )).
% 43.38/43.64 cnf(matrix-5334, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10614)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u10614) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u10614), c_Groups_Oone__class_Oone(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5335, 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))) )).
% 43.38/43.64 cnf(matrix-5336, 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))))) )).
% 43.38/43.64 cnf(matrix-5337, plain, ( ( c_Int_Oint__ge__less__than2(_u10615) = 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), _u10615)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 43.38/43.64 cnf(matrix-5338, plain, ( ( c_Int_Oint__ge__less__than(_u10616) = 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), _u10616)))), c_Orderings_Oord__class_Oless(tc_Int_Oint))))) )).
% 43.38/43.64 cnf(matrix-5339, plain, ( c_Fun_Oinj__on(tc_fun(_u10617, _u10618), tc_fun(tc_prod(_u10617, _u10618), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10617, _u10618), tc_HOL_Obool), tc_fun(tc_prod(_u10617, _u10618), tc_HOL_Obool), tc_fun(_u10617, _u10618)), c_Set_OCollect(tc_prod(_u10617, _u10618))), hAPP(hAPP(c_COMBB(tc_fun(_u10617, tc_fun(_u10618, tc_HOL_Obool)), tc_fun(tc_prod(_u10617, _u10618), tc_HOL_Obool), tc_fun(_u10617, _u10618)), c_Product__Type_Oprod_Oprod__case(_u10617, _u10618, tc_HOL_Obool)), hAPP(c_COMBB(_u10618, tc_fun(_u10618, tc_HOL_Obool), _u10617), hAPP(c_COMBC(_u10618, _u10618, tc_HOL_Obool), c_fequal)))), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u10617, _u10618), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5340, plain, ( ( c_Nitpick_Oprod(_u10619, _u10620, _u10621, _u10622) = hAPP(c_Set_OCollect(tc_prod(_u10619, _u10620)), hAPP(c_Product__Type_Oprod_Oprod__case(_u10619, _u10620, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u10619, tc_fun(_u10620, tc_HOL_Obool), tc_fun(_u10620, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u10620, tc_HOL_Obool), tc_fun(_u10620, tc_HOL_Obool)), _u10619), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u10620)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u10619), c_fconj), hAPP(hAPP(c_COMBC(_u10619, tc_fun(_u10619, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10619)), _u10621)))), hAPP(hAPP(c_COMBC(_u10620, tc_fun(_u10620, tc_HOL_Obool), tc_HOL_Obool), c_member(_u10620)), _u10622))))) )).
% 43.38/43.64 cnf(matrix-5341, plain, ( ( _u10625 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u10625, _u10627) = _u10627) )).
% 43.38/43.64 cnf(matrix-5342, plain, ( ( _u10626 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( c_Code__Numeral_Onat__of__aux(_u10626, _u10628) = c_Code__Numeral_Onat__of__aux(hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u10626), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), hAPP(c_Nat_OSuc, _u10628))) )).
% 43.38/43.64 cnf(matrix-5343, plain, ( ( c_Divides_Odivmod__int__rel(_u10629, _u10630) = 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, _u10629))), 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), _u10630)))))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10630))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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)), _u10630))))), 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)), _u10630)))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_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), _u10630))), 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)))))))) )).
% 43.38/43.64 cnf(matrix-5344, plain, ( ( _u10631 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10632, _u10631), c_Divides_Odivmod__int(_u10632, _u10631))) )).
% 43.38/43.64 cnf(matrix-5345, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10633, _u10634), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10635), _u10636))) | ( _u10634 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10637)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10633, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10634), _u10637)), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10635), _u10637)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10634), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10635, _u10637))), _u10636)))) )).
% 43.38/43.64 cnf(matrix-5346, 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)) )).
% 43.38/43.64 cnf(matrix-5347, plain, ( ~class_Int_Onumber__ring(_u10638) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Int_OPls), _u10639)) | hBOOL(hAPP(hAPP(c_member(_u10638), hAPP(c_Int_Onumber__class_Onumber__of(_u10638), _u10639)), c_Nat_Osemiring__1__class_ONats(_u10638))) )).
% 43.38/43.64 cnf(matrix-5348, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10644, tc_fun(_u10646, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10644, tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_fun(_u10646, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10646, tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_fun(_u10646, tc_HOL_Obool)), _u10644), c_COMBC(_u10646, tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10646, tc_prod(_u10644, _u10646)), tc_fun(_u10646, tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), _u10644), hAPP(c_COMBB(tc_prod(_u10644, _u10646), tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool), _u10646), c_member(tc_prod(_u10644, _u10646)))), c_Product__Type_OPair(_u10644, _u10646)))), _u10648)), hAPP(hAPP(c_COMBC(_u10644, tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_fun(_u10646, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10646, tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_fun(_u10646, tc_HOL_Obool)), _u10644), c_COMBC(_u10646, tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10646, tc_prod(_u10644, _u10646)), tc_fun(_u10646, tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool)), _u10644), hAPP(c_COMBB(tc_prod(_u10644, _u10646), tc_fun(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool), tc_HOL_Obool), _u10646), c_member(tc_prod(_u10644, _u10646)))), c_Product__Type_OPair(_u10644, _u10646)))), _u10650))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10644, _u10646), tc_HOL_Obool)), _u10648), _u10650)) )).
% 43.38/43.64 cnf(matrix-5349, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool)), _u10649), _u10651)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10645, tc_fun(_u10647, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10645, tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_fun(_u10647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10647, tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_fun(_u10647, tc_HOL_Obool)), _u10645), c_COMBC(_u10647, tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10647, tc_prod(_u10645, _u10647)), tc_fun(_u10647, tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), _u10645), hAPP(c_COMBB(tc_prod(_u10645, _u10647), tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool), _u10647), c_member(tc_prod(_u10645, _u10647)))), c_Product__Type_OPair(_u10645, _u10647)))), _u10649)), hAPP(hAPP(c_COMBC(_u10645, tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_fun(_u10647, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10647, tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_fun(_u10647, tc_HOL_Obool)), _u10645), c_COMBC(_u10647, tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10647, tc_prod(_u10645, _u10647)), tc_fun(_u10647, tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool)), _u10645), hAPP(c_COMBB(tc_prod(_u10645, _u10647), tc_fun(tc_fun(tc_prod(_u10645, _u10647), tc_HOL_Obool), tc_HOL_Obool), _u10647), c_member(tc_prod(_u10645, _u10647)))), c_Product__Type_OPair(_u10645, _u10647)))), _u10651))) )).
% 43.38/43.64 cnf(matrix-5350, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10658, tc_fun(_u10660, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10658, tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_fun(_u10660, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10660, tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_fun(_u10660, tc_HOL_Obool)), _u10658), c_COMBC(_u10660, tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10660, tc_prod(_u10658, _u10660)), tc_fun(_u10660, tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), _u10658), hAPP(c_COMBB(tc_prod(_u10658, _u10660), tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool), _u10660), c_member(tc_prod(_u10658, _u10660)))), c_Product__Type_OPair(_u10658, _u10660)))), _u10662)), hAPP(hAPP(c_COMBC(_u10658, tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_fun(_u10660, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10660, tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_fun(_u10660, tc_HOL_Obool)), _u10658), c_COMBC(_u10660, tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10660, tc_prod(_u10658, _u10660)), tc_fun(_u10660, tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool)), _u10658), hAPP(c_COMBB(tc_prod(_u10658, _u10660), tc_fun(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool), tc_HOL_Obool), _u10660), c_member(tc_prod(_u10658, _u10660)))), c_Product__Type_OPair(_u10658, _u10660)))), _u10664)), _u10666), _u10668)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10658, _u10660)), hAPP(hAPP(c_Product__Type_OPair(_u10658, _u10660), _u10666), _u10668)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u10658, _u10660), tc_HOL_Obool)), _u10662), _u10664))) )).
% 43.38/43.64 cnf(matrix-5351, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10659, _u10661)), hAPP(hAPP(c_Product__Type_OPair(_u10659, _u10661), _u10667), _u10669)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool)), _u10663), _u10665))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10659, tc_fun(_u10661, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10659, tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_fun(_u10661, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10661, tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_fun(_u10661, tc_HOL_Obool)), _u10659), c_COMBC(_u10661, tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10661, tc_prod(_u10659, _u10661)), tc_fun(_u10661, tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), _u10659), hAPP(c_COMBB(tc_prod(_u10659, _u10661), tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool), _u10661), c_member(tc_prod(_u10659, _u10661)))), c_Product__Type_OPair(_u10659, _u10661)))), _u10663)), hAPP(hAPP(c_COMBC(_u10659, tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_fun(_u10661, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10661, tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_fun(_u10661, tc_HOL_Obool)), _u10659), c_COMBC(_u10661, tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10661, tc_prod(_u10659, _u10661)), tc_fun(_u10661, tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool)), _u10659), hAPP(c_COMBB(tc_prod(_u10659, _u10661), tc_fun(tc_fun(tc_prod(_u10659, _u10661), tc_HOL_Obool), tc_HOL_Obool), _u10661), c_member(tc_prod(_u10659, _u10661)))), c_Product__Type_OPair(_u10659, _u10661)))), _u10665)), _u10667), _u10669)) )).
% 43.38/43.64 cnf(matrix-5352, plain, ( ( _u10678 = _u10680) | ( hAPP(hAPP(c_COMBC(_u10674, tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_fun(_u10676, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10676, tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_fun(_u10676, tc_HOL_Obool)), _u10674), c_COMBC(_u10676, tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10676, tc_prod(_u10674, _u10676)), tc_fun(_u10676, tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), _u10674), hAPP(c_COMBB(tc_prod(_u10674, _u10676), tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool), _u10676), c_member(tc_prod(_u10674, _u10676)))), c_Product__Type_OPair(_u10674, _u10676)))), _u10678) != hAPP(hAPP(c_COMBC(_u10674, tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_fun(_u10676, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10676, tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_fun(_u10676, tc_HOL_Obool)), _u10674), c_COMBC(_u10676, tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10676, tc_prod(_u10674, _u10676)), tc_fun(_u10676, tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool)), _u10674), hAPP(c_COMBB(tc_prod(_u10674, _u10676), tc_fun(tc_fun(tc_prod(_u10674, _u10676), tc_HOL_Obool), tc_HOL_Obool), _u10676), c_member(tc_prod(_u10674, _u10676)))), c_Product__Type_OPair(_u10674, _u10676)))), _u10680)) )).
% 43.38/43.64 cnf(matrix-5353, plain, ( ( _u10679 != _u10681) | ( hAPP(hAPP(c_COMBC(_u10675, tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_fun(_u10677, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_fun(_u10677, tc_HOL_Obool)), _u10675), c_COMBC(_u10677, tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_prod(_u10675, _u10677)), tc_fun(_u10677, tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), _u10675), hAPP(c_COMBB(tc_prod(_u10675, _u10677), tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool), _u10677), c_member(tc_prod(_u10675, _u10677)))), c_Product__Type_OPair(_u10675, _u10677)))), _u10679) = hAPP(hAPP(c_COMBC(_u10675, tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_fun(_u10677, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_fun(_u10677, tc_HOL_Obool)), _u10675), c_COMBC(_u10677, tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10677, tc_prod(_u10675, _u10677)), tc_fun(_u10677, tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool)), _u10675), hAPP(c_COMBB(tc_prod(_u10675, _u10677), tc_fun(tc_fun(tc_prod(_u10675, _u10677), tc_HOL_Obool), tc_HOL_Obool), _u10677), c_member(tc_prod(_u10675, _u10677)))), c_Product__Type_OPair(_u10675, _u10677)))), _u10681)) )).
% 43.38/43.64 cnf(matrix-5354, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10688, tc_fun(_u10690, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10688, tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_fun(_u10690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10690, tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_fun(_u10690, tc_HOL_Obool)), _u10688), c_COMBC(_u10690, tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10690, tc_prod(_u10688, _u10690)), tc_fun(_u10690, tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), _u10688), hAPP(c_COMBB(tc_prod(_u10688, _u10690), tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool), _u10690), c_member(tc_prod(_u10688, _u10690)))), c_Product__Type_OPair(_u10688, _u10690)))), _u10692)), hAPP(hAPP(c_COMBC(_u10688, tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_fun(_u10690, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10690, tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_fun(_u10690, tc_HOL_Obool)), _u10688), c_COMBC(_u10690, tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10690, tc_prod(_u10688, _u10690)), tc_fun(_u10690, tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool)), _u10688), hAPP(c_COMBB(tc_prod(_u10688, _u10690), tc_fun(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool), tc_HOL_Obool), _u10690), c_member(tc_prod(_u10688, _u10690)))), c_Product__Type_OPair(_u10688, _u10690)))), _u10694)), _u10696), _u10698)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10688, _u10690)), hAPP(hAPP(c_Product__Type_OPair(_u10688, _u10690), _u10696), _u10698)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10688, _u10690), tc_HOL_Obool)), _u10692), _u10694))) )).
% 43.38/43.64 cnf(matrix-5355, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10689, _u10691)), hAPP(hAPP(c_Product__Type_OPair(_u10689, _u10691), _u10697), _u10699)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool)), _u10693), _u10695))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10689, tc_fun(_u10691, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u10689, tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_fun(_u10691, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10691, tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_fun(_u10691, tc_HOL_Obool)), _u10689), c_COMBC(_u10691, tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10691, tc_prod(_u10689, _u10691)), tc_fun(_u10691, tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), _u10689), hAPP(c_COMBB(tc_prod(_u10689, _u10691), tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool), _u10691), c_member(tc_prod(_u10689, _u10691)))), c_Product__Type_OPair(_u10689, _u10691)))), _u10693)), hAPP(hAPP(c_COMBC(_u10689, tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_fun(_u10691, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10691, tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_fun(_u10691, tc_HOL_Obool)), _u10689), c_COMBC(_u10691, tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10691, tc_prod(_u10689, _u10691)), tc_fun(_u10691, tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool)), _u10689), hAPP(c_COMBB(tc_prod(_u10689, _u10691), tc_fun(tc_fun(tc_prod(_u10689, _u10691), tc_HOL_Obool), tc_HOL_Obool), _u10691), c_member(tc_prod(_u10689, _u10691)))), c_Product__Type_OPair(_u10689, _u10691)))), _u10695)), _u10697), _u10699)) )).
% 43.38/43.64 cnf(matrix-5356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10704, tc_fun(_u10706, tc_HOL_Obool))), _u10708), _u10710)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10704, _u10706)), hAPP(hAPP(c_Product__Type_OPair(_u10704, _u10706), _u10708), _u10710)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10704, _u10706), tc_HOL_Obool)))) )).
% 43.38/43.64 cnf(matrix-5357, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10705, _u10707)), hAPP(hAPP(c_Product__Type_OPair(_u10705, _u10707), _u10709), _u10711)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u10705, _u10707), tc_HOL_Obool)))) | hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10705, tc_fun(_u10707, tc_HOL_Obool))), _u10709), _u10711)) )).
% 43.38/43.64 cnf(matrix-5358, plain, ( ~class_Enum_Oenum(_u10712) | ~class_Enum_Oenum(_u10713) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u10713, _u10712)), _u10714)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u10713), hAPP(hAPP(c_COMBB(tc_fun(_u10712, tc_HOL_Obool), tc_HOL_Obool, _u10713), c_Enum_Oenum__class_Oenum__all(_u10712)), hAPP(hAPP(c_COMBB(tc_fun(_u10712, tc_prod(_u10713, _u10712)), tc_fun(_u10712, tc_HOL_Obool), _u10713), hAPP(c_COMBB(tc_prod(_u10713, _u10712), tc_HOL_Obool, _u10712), _u10714)), c_Product__Type_OPair(_u10713, _u10712))))) )).
% 43.38/43.64 cnf(matrix-5359, plain, ( ~class_Enum_Oenum(_u10712) | ~class_Enum_Oenum(_u10713) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(_u10713), hAPP(hAPP(c_COMBB(tc_fun(_u10712, tc_HOL_Obool), tc_HOL_Obool, _u10713), c_Enum_Oenum__class_Oenum__all(_u10712)), hAPP(hAPP(c_COMBB(tc_fun(_u10712, tc_prod(_u10713, _u10712)), tc_fun(_u10712, tc_HOL_Obool), _u10713), hAPP(c_COMBB(tc_prod(_u10713, _u10712), tc_HOL_Obool, _u10712), _u10714)), c_Product__Type_OPair(_u10713, _u10712))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(_u10713, _u10712)), _u10714)) )).
% 43.38/43.64 cnf(matrix-5360, plain, ( ~class_Enum_Oenum(_u10715) | ~class_Enum_Oenum(_u10716) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u10716, _u10715)), _u10717)) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u10716), hAPP(hAPP(c_COMBB(tc_fun(_u10715, tc_HOL_Obool), tc_HOL_Obool, _u10716), c_Enum_Oenum__class_Oenum__ex(_u10715)), hAPP(hAPP(c_COMBB(tc_fun(_u10715, tc_prod(_u10716, _u10715)), tc_fun(_u10715, tc_HOL_Obool), _u10716), hAPP(c_COMBB(tc_prod(_u10716, _u10715), tc_HOL_Obool, _u10715), _u10717)), c_Product__Type_OPair(_u10716, _u10715))))) )).
% 43.38/43.64 cnf(matrix-5361, plain, ( ~class_Enum_Oenum(_u10715) | ~class_Enum_Oenum(_u10716) | ~hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(_u10716), hAPP(hAPP(c_COMBB(tc_fun(_u10715, tc_HOL_Obool), tc_HOL_Obool, _u10716), c_Enum_Oenum__class_Oenum__ex(_u10715)), hAPP(hAPP(c_COMBB(tc_fun(_u10715, tc_prod(_u10716, _u10715)), tc_fun(_u10715, tc_HOL_Obool), _u10716), hAPP(c_COMBB(tc_prod(_u10716, _u10715), tc_HOL_Obool, _u10715), _u10717)), c_Product__Type_OPair(_u10716, _u10715))))) | hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(_u10716, _u10715)), _u10717)) )).
% 43.38/43.64 cnf(matrix-5362, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10725), _u10727), hAPP(c_Relation_OImage(_u10729, _u10725, _u10731), _u10733))) | hBOOL(hAPP(hAPP(c_member(_u10729), skolem257(_u10733, _u10731, _u10729, _u10727, _u10725)), _u10733)) )).
% 43.38/43.64 cnf(matrix-5363, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10725), _u10727), hAPP(c_Relation_OImage(_u10729, _u10725, _u10731), _u10733))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10729, _u10725)), hAPP(hAPP(c_Product__Type_OPair(_u10729, _u10725), skolem257(_u10733, _u10731, _u10729, _u10727, _u10725)), _u10727)), _u10731)) )).
% 43.38/43.64 cnf(matrix-5364, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10730), _u10719), _u10734)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10730, _u10726)), hAPP(hAPP(c_Product__Type_OPair(_u10730, _u10726), _u10719), _u10728)), _u10732)) | hBOOL(hAPP(hAPP(c_member(_u10726), _u10728), hAPP(c_Relation_OImage(_u10730, _u10726, _u10732), _u10734))) )).
% 43.38/43.64 cnf(matrix-5365, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10735), _u10736), _u10737)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10735, _u10738)), hAPP(hAPP(c_Product__Type_OPair(_u10735, _u10738), _u10736), _u10739)), _u10740)) | hBOOL(hAPP(hAPP(c_member(_u10738), _u10739), hAPP(c_Relation_OImage(_u10735, _u10738, _u10740), _u10737))) )).
% 43.38/43.64 cnf(matrix-5366, plain, ( ( _u10741 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u10741), 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)))) )).
% 43.38/43.64 cnf(matrix-5367, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10742, _u10742), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10743), _u10744))) | ( _u10742 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10744 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5368, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10745, _u10746), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10747), _u10748))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10745, _u10746), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10749), _u10750))) | ( _u10746 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10747 = _u10749) )).
% 43.38/43.64 cnf(matrix-5369, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10751, _u10752), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10753), _u10754))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10751, _u10752), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10755), _u10756))) | ( _u10752 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10754 = _u10756) )).
% 43.38/43.64 cnf(matrix-5370, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10763, tc_fun(_u10765, tc_fun(_u10767, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u10763, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_fun(_u10765, tc_fun(_u10767, tc_HOL_Obool)), _u10763), hAPP(c_COMBC(_u10765, tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_fun(_u10767, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10767, tc_fun(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_fun(_u10767, tc_HOL_Obool)), _u10765), c_COMBC(_u10767, tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10767, tc_prod(_u10765, _u10767)), tc_fun(_u10767, tc_fun(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_HOL_Obool)), _u10765), hAPP(c_COMBB(tc_prod(_u10765, _u10767), tc_fun(tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool), tc_HOL_Obool), _u10767), c_member(tc_prod(_u10765, _u10767)))), c_Product__Type_OPair(_u10765, _u10767))))), _u10769)), _u10771), _u10773)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10765, _u10767)), hAPP(hAPP(c_Product__Type_OPair(_u10765, _u10767), _u10771), _u10773)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10763, tc_fun(tc_prod(_u10765, _u10767), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10763, tc_HOL_Obool))), _u10769))) )).
% 43.38/43.64 cnf(matrix-5371, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10766, _u10768)), hAPP(hAPP(c_Product__Type_OPair(_u10766, _u10768), _u10772), _u10774)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10764, tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u10764, tc_HOL_Obool))), _u10770))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u10764, tc_fun(_u10766, tc_fun(_u10768, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u10764, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_fun(_u10766, tc_fun(_u10768, tc_HOL_Obool)), _u10764), hAPP(c_COMBC(_u10766, tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_fun(_u10768, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10768, tc_fun(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_fun(_u10768, tc_HOL_Obool)), _u10766), c_COMBC(_u10768, tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u10768, tc_prod(_u10766, _u10768)), tc_fun(_u10768, tc_fun(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_HOL_Obool)), _u10766), hAPP(c_COMBB(tc_prod(_u10766, _u10768), tc_fun(tc_fun(tc_prod(_u10766, _u10768), tc_HOL_Obool), tc_HOL_Obool), _u10768), c_member(tc_prod(_u10766, _u10768)))), c_Product__Type_OPair(_u10766, _u10768))))), _u10770)), _u10772), _u10774)) )).
% 43.38/43.64 cnf(matrix-5372, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10775, _u10775), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10776), _u10777))) | ( _u10775 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10776 = c_Groups_Oone__class_Oone(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5373, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10778, _u10779), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10780), _u10781))) | ( _u10779 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10778, _u10779) = _u10781) )).
% 43.38/43.64 cnf(matrix-5374, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10782, _u10783), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10784), _u10785))) | ( _u10783 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10782), _u10783) = _u10784) )).
% 43.38/43.64 cnf(matrix-5375, plain, ( ~class_Rings_Osemiring__1(_u10786) | hBOOL(hAPP(hAPP(c_member(_u10786), c_Groups_Ozero__class_Ozero(_u10786)), c_Nat_Osemiring__1__class_ONats(_u10786))) )).
% 43.38/43.64 cnf(matrix-5376, plain, ( ( c_Divides_Odivmod__int(_u10787, _u10788) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10787), _u10788)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10787, _u10788))) )).
% 43.38/43.64 cnf(matrix-5377, plain, ( ~class_Rings_Osemiring__1(_u10789) | ~hBOOL(hAPP(hAPP(c_member(_u10789), _u10790), c_Nat_Osemiring__1__class_ONats(_u10789))) | ~hBOOL(hAPP(hAPP(c_member(_u10789), _u10791), c_Nat_Osemiring__1__class_ONats(_u10789))) | hBOOL(hAPP(hAPP(c_member(_u10789), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u10789), _u10790), _u10791)), c_Nat_Osemiring__1__class_ONats(_u10789))) )).
% 43.38/43.64 cnf(matrix-5378, plain, ( ~class_Rings_Osemiring__1(_u10792) | ~hBOOL(hAPP(hAPP(c_member(_u10792), _u10793), c_Nat_Osemiring__1__class_ONats(_u10792))) | ~hBOOL(hAPP(hAPP(c_member(_u10792), _u10794), c_Nat_Osemiring__1__class_ONats(_u10792))) | hBOOL(hAPP(hAPP(c_member(_u10792), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u10792), _u10793), _u10794)), c_Nat_Osemiring__1__class_ONats(_u10792))) )).
% 43.38/43.64 cnf(matrix-5379, plain, ( ~class_Rings_Osemiring__1(_u10795) | hBOOL(hAPP(hAPP(c_member(_u10795), c_Groups_Oone__class_Oone(_u10795)), c_Nat_Osemiring__1__class_ONats(_u10795))) )).
% 43.38/43.64 cnf(matrix-5380, plain, ( ~class_Rings_Osemiring__1(_u10796) | hBOOL(hAPP(hAPP(c_member(_u10796), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u10796), _u10797)), c_Nat_Osemiring__1__class_ONats(_u10796))) )).
% 43.38/43.64 cnf(matrix-5381, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10803), _u10805), hAPP(c_Relation_OImage(_u10807, _u10803, _u10809), hAPP(hAPP(c_Set_Oinsert(_u10807), _u10811), c_Orderings_Obot__class_Obot(tc_fun(_u10807, tc_HOL_Obool)))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u10807, _u10803)), hAPP(hAPP(c_Product__Type_OPair(_u10807, _u10803), _u10811), _u10805)), _u10809)) )).
% 43.38/43.64 cnf(matrix-5382, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10808, _u10804)), hAPP(hAPP(c_Product__Type_OPair(_u10808, _u10804), _u10812), _u10806)), _u10810)) | hBOOL(hAPP(hAPP(c_member(_u10804), _u10806), hAPP(c_Relation_OImage(_u10808, _u10804, _u10810), hAPP(hAPP(c_Set_Oinsert(_u10808), _u10812), c_Orderings_Obot__class_Obot(tc_fun(_u10808, tc_HOL_Obool)))))) )).
% 43.38/43.64 cnf(matrix-5383, plain, ( ( _u10813 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10814, _u10813), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10814), _u10813)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u10814, _u10813)))) )).
% 43.38/43.64 cnf(matrix-5384, plain, ( ( hAPP(c_Relation_OImage(_u10815, _u10816, _u10817), hAPP(hAPP(c_Set_Oinsert(_u10815), _u10818), c_Orderings_Obot__class_Obot(tc_fun(_u10815, tc_HOL_Obool)))) = hAPP(c_Set_OCollect(_u10816), hAPP(hAPP(c_COMBC(_u10816, tc_fun(tc_prod(_u10815, _u10816), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u10815, _u10816), tc_fun(tc_fun(tc_prod(_u10815, _u10816), tc_HOL_Obool), tc_HOL_Obool), _u10816), c_member(tc_prod(_u10815, _u10816))), hAPP(c_Product__Type_OPair(_u10815, _u10816), _u10818))), _u10817))) )).
% 43.38/43.64 cnf(matrix-5385, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10819, _u10820), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10821), _u10822))) | ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10823, _u10820), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10824), _u10825))) | ( _u10820 = 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), _u10819), _u10823), _u10820), 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), _u10821), _u10824)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10822), _u10825)), _u10820))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u10822), _u10825), _u10820)))) )).
% 43.38/43.64 cnf(matrix-5386, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10826, _u10827), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10828), _u10829))) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10826), _u10827), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u10829), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10828)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10828)), c_Groups_Oone__class_Oone(tc_Int_Oint)))), hAPP(hAPP(hAPP(c_If(tc_Int_Oint), hAPP(hAPP(c_fequal, _u10829), 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), _u10827), _u10829))))) )).
% 43.38/43.64 cnf(matrix-5387, plain, ( ( _u10830 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10831), _u10832)), _u10833)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10830, _u10831), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10832), _u10833))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10831), _u10833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5388, plain, ( ( _u10830 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10831), _u10832)), _u10833)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10830, _u10831), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10832), _u10833))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10833), _u10831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10831)) )).
% 43.38/43.64 cnf(matrix-5389, plain, ( ( _u10830 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10831), _u10832)), _u10833)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10830, _u10831), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10832), _u10833))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u10833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10833), _u10831)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10831), _u10833)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u10833), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5390, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u10834, _u10835), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10836), _u10837))) | ( _u10835 = 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), _u10838), _u10834), _u10835), 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), _u10838), _u10836)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10838), _u10837)), _u10835))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), _u10838), _u10837), _u10835)))) )).
% 43.38/43.64 cnf(matrix-5391, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u10839, _u10840)), hAPP(hAPP(c_Product__Type_OPair(_u10839, _u10840), _u10841), _u10842)), _u10843)) | hBOOL(hAPP(hAPP(c_member(_u10844), hAPP(hAPP(_u10845, _u10841), _u10842)), hAPP(c_Set_Oimage(tc_prod(_u10839, _u10840), _u10844, hAPP(c_Product__Type_Oprod_Oprod__case(_u10839, _u10840, _u10844), _u10845)), _u10843))) )).
% 43.38/43.64 cnf(matrix-5392, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10848), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10850, _u10848) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10850), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u10848))) )).
% 43.38/43.64 cnf(matrix-5393, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10849), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10851, _u10849) = 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))) | ( _u10851 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5394, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10849), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u10851, _u10849) = 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))) | ( _u10849 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5395, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u10849), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u10851 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u10849 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u10851, _u10849) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u10851), _u10849)), 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), _u10851))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u10849)))) )).
% 43.38/43.64 cnf(matrix-5396, plain, ( ( hAPP(c_Divides_Oadjust(_u10852), hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u10853), _u10854)) = 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), _u10854), _u10852)), 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)))), _u10853)), 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)))), _u10853)), _u10854)))) )).
% 43.38/43.64 cnf(matrix-5397, plain, ( hBOOL(hAPP(hAPP(_u10857, _u10859), _u10860)) | hBOOL(hAPP(hAPP(_u10858, _u10859), _u10860)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10855, tc_fun(_u10856, tc_HOL_Obool))), _u10857), _u10858), _u10859), _u10860)) )).
% 43.38/43.64 cnf(matrix-5398, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10865, tc_fun(_u10866, tc_HOL_Obool))), _u10864), _u10861), _u10862), _u10863)) | ~hBOOL(hAPP(hAPP(_u10861, _u10862), _u10863)) )).
% 43.38/43.64 cnf(matrix-5399, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10865, tc_fun(_u10866, tc_HOL_Obool))), _u10864), _u10861), _u10862), _u10863)) | ~hBOOL(hAPP(hAPP(_u10864, _u10862), _u10863)) )).
% 43.38/43.64 cnf(matrix-5400, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10867, tc_fun(_u10868, tc_HOL_Obool))), _u10869), _u10870), _u10871), _u10872)) | hBOOL(hAPP(hAPP(_u10869, _u10871), _u10872)) )).
% 43.38/43.64 cnf(matrix-5401, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10867, tc_fun(_u10868, tc_HOL_Obool))), _u10869), _u10870), _u10871), _u10872)) | hBOOL(hAPP(hAPP(_u10870, _u10871), _u10872)) )).
% 43.38/43.64 cnf(matrix-5402, plain, ( ~hBOOL(hAPP(hAPP(_u10873, _u10874), _u10875)) | ~hBOOL(hAPP(hAPP(_u10876, _u10874), _u10875)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10877, tc_fun(_u10878, tc_HOL_Obool))), _u10873), _u10876), _u10874), _u10875)) )).
% 43.38/43.64 cnf(matrix-5403, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u10879), _u10880), hAPP(hAPP(_u10881, _u10882), _u10883))) | hBOOL(hAPP(hAPP(c_member(_u10879), _u10880), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10884, _u10885, tc_fun(_u10879, tc_HOL_Obool)), _u10881), hAPP(hAPP(c_Product__Type_OPair(_u10884, _u10885), _u10882), _u10883)))) )).
% 43.38/43.64 cnf(matrix-5404, plain, ( ~hBOOL(hAPP(hAPP(_u10886, _u10887), _u10888)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10889, _u10890, tc_HOL_Obool), _u10886), hAPP(hAPP(c_Product__Type_OPair(_u10889, _u10890), _u10887), _u10888))) )).
% 43.38/43.64 cnf(matrix-5405, plain, ( ~hBOOL(hAPP(hAPP(_u10891, _u10892), _u10893)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10894, _u10895, tc_HOL_Obool), _u10891), hAPP(hAPP(c_Product__Type_OPair(_u10894, _u10895), _u10892), _u10893))) )).
% 43.38/43.64 cnf(matrix-5406, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Obot__class_Obot(tc_fun(_u10896, tc_fun(_u10897, tc_HOL_Obool))), _u10898), _u10899)) )).
% 43.38/43.64 cnf(matrix-5407, plain, ( hBOOL(hAPP(hAPP(hAPP(_u10903, _u10904), _u10905), _u10906)) | ~hBOOL(hAPP(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10900, _u10901, tc_fun(_u10902, tc_HOL_Obool)), _u10903), hAPP(hAPP(c_Product__Type_OPair(_u10900, _u10901), _u10904), _u10905)), _u10906)) )).
% 43.38/43.64 cnf(matrix-5408, plain, ( c_Fun_Oinj__on(tc_prod(_u10907, _u10908), tc_prod(_u10908, _u10907), hAPP(c_Product__Type_Oprod_Oprod__case(_u10907, _u10908, tc_prod(_u10908, _u10907)), hAPP(c_COMBC(_u10908, _u10907, tc_prod(_u10908, _u10907)), c_Product__Type_OPair(_u10908, _u10907))), _u10909) )).
% 43.38/43.64 cnf(matrix-5409, plain, ( ~hBOOL(hAPP(hAPP(_u10912, _u10914), _u10915)) | hBOOL(hAPP(hAPP(_u10913, _u10914), _u10915)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10910, tc_fun(_u10911, tc_HOL_Obool))), _u10912), _u10913)) )).
% 43.38/43.64 cnf(matrix-5410, plain, ( ~hBOOL(hAPP(hAPP(_u10916, _u10917), _u10918)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u10919, tc_fun(_u10920, tc_HOL_Obool))), _u10916), _u10921)) | hBOOL(hAPP(hAPP(_u10921, _u10917), _u10918)) )).
% 43.38/43.64 cnf(matrix-5411, plain, ( ~hBOOL(hAPP(hAPP(_u10922, _u10923), _u10924)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10925, tc_fun(_u10926, tc_HOL_Obool))), _u10922), _u10927), _u10923), _u10924)) )).
% 43.38/43.64 cnf(matrix-5412, plain, ( ~hBOOL(hAPP(hAPP(_u10928, _u10929), _u10930)) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u10931, tc_fun(_u10932, tc_HOL_Obool))), _u10933), _u10928), _u10929), _u10930)) )).
% 43.38/43.64 cnf(matrix-5413, plain, ( hBOOL(hAPP(hAPP(_u10937, _u10938), _u10939)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10934, tc_fun(_u10935, tc_HOL_Obool))), _u10936), _u10937), _u10938), _u10939)) )).
% 43.38/43.64 cnf(matrix-5414, plain, ( hBOOL(hAPP(hAPP(_u10942, _u10944), _u10945)) | ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u10940, tc_fun(_u10941, tc_HOL_Obool))), _u10942), _u10943), _u10944), _u10945)) )).
% 43.38/43.64 cnf(matrix-5415, plain, ( ~hBOOL(hAPP(_u10955, skolem258(_u10959, _u10957, _u10955))) | hBOOL(hAPP(_u10955, hAPP(hAPP(c_Product__Type_OPair(_u10957, _u10959), _u10948), _u10947))) )).
% 43.38/43.64 cnf(matrix-5416, plain, ( ~hBOOL(hAPP(_u10956, hAPP(hAPP(c_Product__Type_OPair(_u10958, _u10960), skolem259(_u10960, _u10958, _u10956)), skolem260(_u10960, _u10958, _u10956)))) | hBOOL(hAPP(_u10956, _u10951)) )).
% 43.38/43.64 cnf(matrix-5417, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10967, _u10969), _u10971), _u10973) != hAPP(hAPP(c_Product__Type_OPair(_u10967, _u10969), _u10975), _u10977)) | ( _u10971 = _u10975) )).
% 43.38/43.64 cnf(matrix-5418, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10967, _u10969), _u10971), _u10973) != hAPP(hAPP(c_Product__Type_OPair(_u10967, _u10969), _u10975), _u10977)) | ( _u10973 = _u10977) )).
% 43.38/43.64 cnf(matrix-5419, plain, ( ( _u10972 != _u10976) | ( _u10974 != _u10978) | ( hAPP(hAPP(c_Product__Type_OPair(_u10968, _u10970), _u10972), _u10974) = hAPP(hAPP(c_Product__Type_OPair(_u10968, _u10970), _u10976), _u10978)) )).
% 43.38/43.64 cnf(matrix-5420, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10979, _u10980), _u10981), _u10982) != hAPP(hAPP(c_Product__Type_OPair(_u10979, _u10980), _u10983), _u10984)) | ( _u10981 = _u10983) )).
% 43.38/43.64 cnf(matrix-5421, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u10979, _u10980), _u10981), _u10982) != hAPP(hAPP(c_Product__Type_OPair(_u10979, _u10980), _u10983), _u10984)) | ( _u10982 = _u10984) )).
% 43.38/43.64 cnf(matrix-5422, plain, ( ( _u10985 != _u10986) | ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10987, _u10988, _u10989), _u10990), _u10985) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10987, _u10988, _u10989), _u10990), _u10986)) )).
% 43.38/43.64 cnf(matrix-5423, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10991, _u10992, _u10993), _u10994), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10995, _u10996, tc_prod(_u10991, _u10992)), _u10997), _u10998)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10995, _u10996, _u10993), hAPP(hAPP(c_COMBB(tc_fun(_u10996, tc_prod(_u10991, _u10992)), tc_fun(_u10996, _u10993), _u10995), hAPP(c_COMBB(tc_prod(_u10991, _u10992), _u10993, _u10996), hAPP(c_Product__Type_Oprod_Oprod__case(_u10991, _u10992, _u10993), _u10994))), _u10997)), _u10998)) )).
% 43.38/43.64 cnf(matrix-5424, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u10999, _u11000, _u11001), _u11002), hAPP(hAPP(c_Product__Type_OPair(_u10999, _u11000), _u11003), _u11004)) = hAPP(hAPP(_u11002, _u11003), _u11004)) )).
% 43.38/43.64 cnf(matrix-5425, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11005, _u11006, _u11007), _u11008), hAPP(hAPP(c_Product__Type_OPair(_u11005, _u11006), _u11009), _u11010)) = hAPP(hAPP(_u11008, _u11009), _u11010)) )).
% 43.38/43.64 cnf(matrix-5426, plain, ( hBOOL(hAPP(hAPP(_u11013, _u11014), _u11015)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11011, _u11012, tc_HOL_Obool), _u11013), hAPP(hAPP(c_Product__Type_OPair(_u11011, _u11012), _u11014), _u11015))) )).
% 43.38/43.64 cnf(matrix-5427, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u11016, _u11017, _u11018), hAPP(hAPP(c_COMBB(tc_fun(_u11017, tc_prod(_u11016, _u11017)), tc_fun(_u11017, _u11018), _u11016), hAPP(c_COMBB(tc_prod(_u11016, _u11017), _u11018, _u11017), _u11019)), c_Product__Type_OPair(_u11016, _u11017))) = _u11019) )).
% 43.38/43.64 cnf(matrix-5428, plain, ( ( c_HOL_OThe(tc_prod(_u11020, _u11021), _u11022) = c_HOL_OThe(tc_prod(_u11020, _u11021), hAPP(c_Product__Type_Oprod_Oprod__case(_u11020, _u11021, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11021, tc_prod(_u11020, _u11021)), tc_fun(_u11021, tc_HOL_Obool), _u11020), hAPP(c_COMBB(tc_prod(_u11020, _u11021), tc_HOL_Obool, _u11021), _u11022)), c_Product__Type_OPair(_u11020, _u11021))))) )).
% 43.38/43.64 cnf(matrix-5429, plain, ( ( c_HOL_OThe(tc_prod(_u11023, _u11024), hAPP(c_Product__Type_Oprod_Oprod__case(_u11023, _u11024, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11023, tc_fun(_u11024, tc_HOL_Obool), tc_fun(_u11024, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u11024, tc_HOL_Obool), tc_fun(_u11024, tc_HOL_Obool)), _u11023), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u11024)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11023), c_fconj), hAPP(c_fequal, _u11025)))), hAPP(c_fequal, _u11026)))) = hAPP(hAPP(c_Product__Type_OPair(_u11023, _u11024), _u11025), _u11026)) )).
% 43.38/43.64 cnf(matrix-5430, plain, ( ( c_Divides_Oadjust(_u11027) = 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)), _u11027))))), 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)), _u11027))))), 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)))))))) )).
% 43.38/43.64 cnf(matrix-5431, plain, ( ~hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11033, _u11035, _u11037), _u11039), _u11041)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11033, _u11035)), hAPP(hAPP(c_Product__Type_OPair(_u11033, _u11035), _u11039), _u11041)), _u11037)) )).
% 43.38/43.64 cnf(matrix-5432, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11034, _u11036)), hAPP(hAPP(c_Product__Type_OPair(_u11034, _u11036), _u11040), _u11042)), _u11038)) | hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(_u11034, _u11036, _u11038), _u11040), _u11042)) )).
% 43.38/43.64 cnf(matrix-5433, plain, ( ( c_Code__Numeral_Odiv__mod__code__numeral(_u11043, _u11044) = 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), _u11043), _u11044)), c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u11043, _u11044))) )).
% 43.38/43.64 cnf(matrix-5434, 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), _u11045))) | ~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), _u11045)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11045)) = 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), _u11045)))) )).
% 43.38/43.64 cnf(matrix-5435, 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), _u11045))) | 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), _u11045)))) | ( c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11045)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11045)), 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), _u11045))))) )).
% 43.38/43.64 cnf(matrix-5436, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11046), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11047)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11046, _u11047), c_Divides_OnegDivAlg(_u11046, _u11047))) )).
% 43.38/43.64 cnf(matrix-5437, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11048), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11049)) | ( c_Divides_OnegDivAlg(_u11048, _u11049) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11048), _u11049)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11048, _u11049))) )).
% 43.38/43.64 cnf(matrix-5438, plain, ( ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OMin), _u11050) = 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), _u11050), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.38/43.64 cnf(matrix-5439, plain, ( ( c_Divides_OnegDivAlg(_u11053, _u11055) = 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), _u11053), _u11055))) | ~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), _u11053), _u11055))) )).
% 43.38/43.64 cnf(matrix-5440, plain, ( ( c_Divides_OnegDivAlg(_u11053, _u11055) = 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), _u11053), _u11055))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11055), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5441, 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), _u11054), _u11056))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11056), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11054, _u11056) = hAPP(c_Divides_Oadjust(_u11056), c_Divides_OnegDivAlg(_u11054, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11056)))) )).
% 43.38/43.64 cnf(matrix-5442, 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), _u11057))) | ~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), _u11058)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11058), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)) = 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), _u11058)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)))) )).
% 43.38/43.64 cnf(matrix-5443, 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), _u11057))) | 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), _u11058)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)))) | ( c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11058), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11057)), c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11058), hAPP(hAPP(c_Groups_Otimes__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), _u11057))))) )).
% 43.38/43.64 cnf(matrix-5444, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11059)) | ~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), _u11060), _u11059))) | ( c_Divides_OnegDivAlg(_u11060, _u11059) = 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), _u11060), _u11059))) )).
% 43.38/43.64 cnf(matrix-5445, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11059)) | 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), _u11060), _u11059))) | ( c_Divides_OnegDivAlg(_u11060, _u11059) = hAPP(c_Divides_Oadjust(_u11059), c_Divides_OnegDivAlg(_u11060, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11059)))) )).
% 43.38/43.64 cnf(matrix-5446, plain, ( ~c_Nitpick_Orefl_H(_u11065, _u11067) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11065, _u11065)), hAPP(hAPP(c_Product__Type_OPair(_u11065, _u11065), _u11061), _u11061)), _u11067)) )).
% 43.38/43.64 cnf(matrix-5447, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11066, _u11066)), hAPP(hAPP(c_Product__Type_OPair(_u11066, _u11066), skolem261(_u11068, _u11066)), skolem261(_u11068, _u11066))), _u11068)) | c_Nitpick_Orefl_H(_u11066, _u11068) )).
% 43.38/43.64 cnf(matrix-5448, 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), _u11069))) | ~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), _u11069))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11069)) = 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))) )).
% 43.38/43.64 cnf(matrix-5449, 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), _u11069))) | 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), _u11069))) | ( c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11069)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11069)), 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), _u11069))))) )).
% 43.38/43.64 cnf(matrix-5450, plain, ( ( c_Divides_OposDivAlg(_u11072, _u11074) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11072), _u11074)) )).
% 43.38/43.64 cnf(matrix-5451, plain, ( ( c_Divides_OposDivAlg(_u11072, _u11074) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11072)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11074), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5452, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11073), _u11075)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11075), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11073, _u11075) = hAPP(c_Divides_Oadjust(_u11075), c_Divides_OposDivAlg(_u11073, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11075)))) )).
% 43.38/43.64 cnf(matrix-5453, plain, ( ( c_Divides_OposDivAlg(c_Groups_Ozero__class_Ozero(tc_Int_Oint), _u11076) = 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))) )).
% 43.38/43.64 cnf(matrix-5454, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11077)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11078)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11077, _u11078), c_Divides_OposDivAlg(_u11077, _u11078))) )).
% 43.38/43.64 cnf(matrix-5455, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11079)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11080)) | ( c_Divides_OposDivAlg(_u11079, _u11080) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11079), _u11080)), c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11079, _u11080))) )).
% 43.38/43.64 cnf(matrix-5456, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11081)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11082), _u11081)) | ( c_Divides_OposDivAlg(_u11082, _u11081) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11082)) )).
% 43.38/43.64 cnf(matrix-5457, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11081)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11082), _u11081)) | ( c_Divides_OposDivAlg(_u11082, _u11081) = hAPP(c_Divides_Oadjust(_u11081), c_Divides_OposDivAlg(_u11082, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11081)))) )).
% 43.38/43.64 cnf(matrix-5458, 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), _u11083))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083)) = 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), _u11084))) )).
% 43.38/43.64 cnf(matrix-5459, 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), _u11083))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083))) | ( c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11083)), c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11084), hAPP(hAPP(c_Groups_Otimes__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), _u11083))))) )).
% 43.38/43.64 cnf(matrix-5460, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11087)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11089)) | ( c_Divides_Odivmod__int(_u11087, _u11089) = c_Divides_OposDivAlg(_u11087, _u11089)) )).
% 43.38/43.64 cnf(matrix-5461, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11087)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11089)) | ( _u11087 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11087, _u11089) = 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))) )).
% 43.38/43.64 cnf(matrix-5462, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11087)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11089)) | ( _u11087 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11087, _u11089) = hAPP(c_Divides_OnegateSnd, c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11087), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11089)))) )).
% 43.38/43.64 cnf(matrix-5463, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11088)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11090)) | ( c_Divides_Odivmod__int(_u11088, _u11090) = c_Divides_OnegDivAlg(_u11088, _u11090)) )).
% 43.38/43.64 cnf(matrix-5464, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11088)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11090)) | ( c_Divides_Odivmod__int(_u11088, _u11090) = hAPP(c_Divides_OnegateSnd, c_Divides_OposDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11088), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11090)))) )).
% 43.38/43.64 cnf(matrix-5465, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11091)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11091), _u11092)) | ( c_Divides_Odivmod__nat(_u11092, _u11091) = 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), _u11092), _u11091)), _u11091))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u11092), _u11091), _u11091))) )).
% 43.38/43.64 cnf(matrix-5466, plain, ( ( _u11095 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11095, _u11097) = 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))) )).
% 43.38/43.64 cnf(matrix-5467, plain, ( ( _u11096 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11098 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11096, _u11098) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11096)) )).
% 43.38/43.64 cnf(matrix-5468, plain, ( ( _u11096 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11098 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11096, _u11098) = 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, _u11098))), 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)), _u11098)), hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11096))), hAPP(hAPP(c_fconj, hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11098), c_Groups_Ozero__class_Ozero(tc_Int_Oint))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11096), c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), c_Divides_Opdivmod(_u11096, _u11098)), 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), _u11098))))), c_Divides_Opdivmod(_u11096, _u11098))))) )).
% 43.38/43.64 cnf(matrix-5469, 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))) )).
% 43.38/43.64 cnf(matrix-5470, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11099, _u11100, _u11101, _u11102), hAPP(hAPP(c_Product__Type_OPair(_u11101, _u11099), _u11103), _u11104)) = hAPP(hAPP(c_Product__Type_OPair(_u11101, _u11100), _u11103), hAPP(_u11102, _u11104))) )).
% 43.38/43.64 cnf(matrix-5471, plain, ( ( c_Divides_Odivmod__nat(_u11105, 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)), _u11105)) )).
% 43.38/43.64 cnf(matrix-5472, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11106), _u11107)) | ( c_Divides_Odivmod__nat(_u11106, _u11107) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11106)) )).
% 43.38/43.64 cnf(matrix-5473, plain, ( ( hAPP(c_Divides_OnegateSnd, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11108), _u11109)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u11108), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11109))) )).
% 43.38/43.64 cnf(matrix-5474, plain, ( ( c_Divides_Odivmod__nat(_u11110, _u11111) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11110), _u11111)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11110, _u11111))) )).
% 43.38/43.64 cnf(matrix-5475, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11112), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11113)), _u11114)) | hBOOL(hAPP(c_Divides_Odivmod__int__rel(_u11112, _u11113), hAPP(c_Divides_OnegateSnd, _u11114))) )).
% 43.38/43.64 cnf(matrix-5476, plain, ( ( c_Divides_Odivmod__nat(_u11119, _u11117) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11119)) | ( _u11117 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-5477, plain, ( ( c_Divides_Odivmod__nat(_u11119, _u11117) = hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11119)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11119), _u11117)) )).
% 43.38/43.64 cnf(matrix-5478, plain, ( ( _u11118 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11120), _u11118)) | ( c_Divides_Odivmod__nat(_u11120, _u11118) = 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), _u11120), _u11118), _u11118))) )).
% 43.38/43.64 cnf(matrix-5479, plain, ( ( c_Divides_Opdivmod(_u11121, _u11122) = 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), _u11121)), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11122))), c_Divides_Odiv__class_Omod(tc_Int_Oint, hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11121), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11122)))) )).
% 43.38/43.64 cnf(matrix-5480, plain, ( ( _u11125 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11127, _u11125) = 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), _u11127))) )).
% 43.38/43.64 cnf(matrix-5481, plain, ( ( _u11126 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Opdivmod(_u11128, _u11126) = c_Divides_OposDivAlg(hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11128), hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint), _u11126))) )).
% 43.38/43.64 cnf(matrix-5482, plain, ( ( _u11131 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11131, _u11133) = 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))) )).
% 43.38/43.64 cnf(matrix-5483, plain, ( ( _u11132 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11134 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11132, _u11134) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11132)) )).
% 43.38/43.64 cnf(matrix-5484, plain, ( ( _u11132 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11134 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Divides_Odivmod__int(_u11132, _u11134) = 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, _u11134))), 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, _u11132)), c_Groups_Osgn__class_Osgn(tc_Int_Oint, _u11134))), c_Divides_Opdivmod(_u11132, _u11134)), 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), _u11134))))), c_Divides_Opdivmod(_u11132, _u11134))))) )).
% 43.38/43.64 cnf(matrix-5485, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11135, _u11136), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11137), _u11138))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11136)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11139)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11135, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11136), _u11139)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11137), _u11139)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11136), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11137, _u11139))), _u11138)))) )).
% 43.38/43.64 cnf(matrix-5486, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11140, _u11141), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11142), _u11143))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11141)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11144), _u11140), _u11141), 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), _u11144), _u11142)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11144), _u11143)), _u11141))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11144), _u11143), _u11141)))) )).
% 43.38/43.64 cnf(matrix-5487, 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), _u11145), _u11146))) | ( c_Divides_OnegDivAlg(_u11145, _u11146) = 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), _u11145), _u11146))) | ~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), _u11145), _u11146))) )).
% 43.38/43.64 cnf(matrix-5488, 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), _u11145), _u11146))) | ( c_Divides_OnegDivAlg(_u11145, _u11146) = 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), _u11145), _u11146))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11146), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5489, 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), _u11145), _u11146))) | 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), _u11145), _u11146))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11146), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OnegDivAlg(_u11145, _u11146) = hAPP(c_Divides_Oadjust(_u11146), c_Divides_OnegDivAlg(_u11145, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11146)))) )).
% 43.38/43.64 cnf(matrix-5490, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11147, _u11148), _u11149)) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11147, _u11148), _u11150)) | ( _u11149 = _u11150) )).
% 43.38/43.64 cnf(matrix-5491, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11151, _u11152), _u11153)) | ( c_Divides_Odivmod__nat(_u11151, _u11152) = _u11153) )).
% 43.38/43.64 cnf(matrix-5492, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11154, _u11155), c_Divides_Odivmod__nat(_u11154, _u11155))) )).
% 43.38/43.64 cnf(matrix-5493, plain, ( ( c_Divides_Odivmod__nat(_u11156, _u11157) = c_HOL_OThe(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat__rel(_u11156, _u11157))) )).
% 43.38/43.64 cnf(matrix-5494, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11158, _u11159), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11160), _u11161))) | ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11158, _u11159) = _u11161) )).
% 43.38/43.64 cnf(matrix-5495, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11162, _u11163), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11164), _u11165))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11162), _u11163) = _u11164) )).
% 43.38/43.64 cnf(matrix-5496, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11166, _u11167), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11166), _u11167)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11166, _u11167)))) )).
% 43.38/43.64 cnf(matrix-5497, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11168, _u11169), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11170), _u11171))) | ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11172, _u11169), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11173), _u11174))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11169)) | hBOOL(hAPP(c_Divides_Odivmod__nat__rel(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11168), _u11172), _u11169), 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), _u11170), _u11173)), hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11171), _u11174)), _u11169))), c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11171), _u11174), _u11169)))) )).
% 43.38/43.64 cnf(matrix-5498, 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), _u11175), _u11176))) | ( c_Divides_OposDivAlg(_u11175, _u11176) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11175), _u11176)) )).
% 43.38/43.64 cnf(matrix-5499, 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), _u11175), _u11176))) | ( c_Divides_OposDivAlg(_u11175, _u11176) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11176), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.38/43.64 cnf(matrix-5500, 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), _u11175), _u11176))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11175), _u11176)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11176), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_OposDivAlg(_u11175, _u11176) = hAPP(c_Divides_Oadjust(_u11176), c_Divides_OposDivAlg(_u11175, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), _u11176)))) )).
% 43.38/43.64 cnf(matrix-5501, 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), _u11177), _u11178))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11177, _u11178) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11177), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11178))) )).
% 43.38/43.64 cnf(matrix-5502, 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), _u11177), _u11178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11177, _u11178) = 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))) | ( _u11177 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5503, 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), _u11177), _u11178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Nitpick_Onorm__frac(_u11177, _u11178) = 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))) | ( _u11178 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5504, 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), _u11177), _u11178))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11178), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( _u11177 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( _u11178 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)) | ( c_Nitpick_Onorm__frac(_u11177, _u11178) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, tc_prod(tc_Int_Oint, tc_Int_Oint)), hAPP(hAPP(c_Nitpick_Oint__gcd, _u11177), _u11178)), 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), _u11177))), hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11178)))) )).
% 43.38/43.64 cnf(matrix-5505, 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), _u11181), _u11182))) | hBOOL(hAPP(hAPP(_u11183, _u11181), _u11182)) | 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), skolem262(_u11183, _u11182, _u11181)), skolem263(_u11183, _u11182, _u11181)))) )).
% 43.38/43.64 cnf(matrix-5506, 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), _u11181), _u11182))) | hBOOL(hAPP(hAPP(_u11183, _u11181), _u11182)) | 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), skolem262(_u11183, _u11182, _u11181)), skolem263(_u11183, _u11182, _u11181)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem263(_u11183, _u11182, _u11181)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11183, skolem262(_u11183, _u11182, _u11181)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem263(_u11183, _u11182, _u11181)))) )).
% 43.38/43.64 cnf(matrix-5507, 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), _u11181), _u11182))) | hBOOL(hAPP(hAPP(_u11183, _u11181), _u11182)) | ~hBOOL(hAPP(hAPP(_u11183, skolem262(_u11183, _u11182, _u11181)), skolem263(_u11183, _u11182, _u11181))) )).
% 43.38/43.64 cnf(matrix-5508, 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), _u11186), _u11187))) | hBOOL(hAPP(hAPP(_u11188, _u11186), _u11187)) | 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), skolem264(_u11188, _u11187, _u11186)), skolem265(_u11188, _u11187, _u11186)))) )).
% 43.38/43.64 cnf(matrix-5509, 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), _u11186), _u11187))) | hBOOL(hAPP(hAPP(_u11188, _u11186), _u11187)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem264(_u11188, _u11187, _u11186)), skolem265(_u11188, _u11187, _u11186))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem265(_u11188, _u11187, _u11186)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11188, skolem264(_u11188, _u11187, _u11186)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))), skolem265(_u11188, _u11187, _u11186)))) )).
% 43.38/43.64 cnf(matrix-5510, 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), _u11186), _u11187))) | hBOOL(hAPP(hAPP(_u11188, _u11186), _u11187)) | ~hBOOL(hAPP(hAPP(_u11188, skolem264(_u11188, _u11187, _u11186)), skolem265(_u11188, _u11187, _u11186))) )).
% 43.38/43.64 cnf(matrix-5511, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11189, tc_fun(_u11189, tc_HOL_Obool))), _u11190), _u11191)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11189, tc_HOL_Obool)), c_Wellfounded_Oaccp(_u11189, _u11191)), c_Wellfounded_Oaccp(_u11189, _u11190))) )).
% 43.38/43.64 cnf(matrix-5512, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11192)), 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), _u11192)) = 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), _u11192)))))) )).
% 43.38/43.64 cnf(matrix-5513, plain, ( ( hAPP(c_Product__Type_Osnd(_u11193, _u11194), hAPP(hAPP(c_Product__Type_OPair(_u11193, _u11194), _u11195), _u11196)) = _u11196) )).
% 43.38/43.64 cnf(matrix-5514, plain, ( ( _u11200 = _u11201) | ( hAPP(c_Product__Type_Osnd(_u11197, _u11198), hAPP(hAPP(c_Product__Type_OPair(_u11197, _u11198), _u11199), _u11200)) != _u11201) )).
% 43.38/43.64 cnf(matrix-5515, plain, ( ( hAPP(c_Product__Type_Osnd(_u11202, _u11203), _u11204) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11202, _u11203, _u11203), hAPP(c_COMBK(tc_fun(_u11203, _u11203), _u11202), c_COMBI(_u11203))), _u11204)) )).
% 43.38/43.64 cnf(matrix-5516, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11211, _u11213, _u11215, _u11217), _u11219) != hAPP(c_Product__Type_Oapsnd(_u11211, _u11213, _u11215, _u11221), _u11219)) | ( hAPP(_u11217, hAPP(c_Product__Type_Osnd(_u11215, _u11211), _u11219)) = hAPP(_u11221, hAPP(c_Product__Type_Osnd(_u11215, _u11211), _u11219))) )).
% 43.38/43.64 cnf(matrix-5517, plain, ( ( hAPP(_u11218, hAPP(c_Product__Type_Osnd(_u11216, _u11212), _u11220)) != hAPP(_u11222, hAPP(c_Product__Type_Osnd(_u11216, _u11212), _u11220))) | ( hAPP(c_Product__Type_Oapsnd(_u11212, _u11214, _u11216, _u11218), _u11220) = hAPP(c_Product__Type_Oapsnd(_u11212, _u11214, _u11216, _u11222), _u11220)) )).
% 43.38/43.64 cnf(matrix-5518, plain, ( ( hAPP(c_Product__Type_Osnd(_u11223, _u11224), hAPP(c_Product__Type_Oapsnd(_u11225, _u11224, _u11223, _u11226), _u11227)) = hAPP(_u11226, hAPP(c_Product__Type_Osnd(_u11223, _u11225), _u11227))) )).
% 43.38/43.64 cnf(matrix-5519, plain, ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11228, _u11229) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11228, _u11229))) )).
% 43.38/43.64 cnf(matrix-5520, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11235, _u11237), _u11239)) | ~hBOOL(hAPP(hAPP(_u11237, _u11230), _u11239)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11235, _u11237), _u11230)) )).
% 43.38/43.64 cnf(matrix-5521, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11236, _u11238), _u11240)) | hBOOL(hAPP(hAPP(_u11238, skolem266(_u11240, _u11238, _u11236)), _u11240)) )).
% 43.38/43.64 cnf(matrix-5522, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11236, _u11238), _u11240)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11236, _u11238), skolem266(_u11240, _u11238, _u11236))) )).
% 43.38/43.64 cnf(matrix-5523, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11246, _u11248), _u11250)) | ~hBOOL(hAPP(hAPP(_u11248, _u11241), _u11250)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11246, _u11248), _u11241)) )).
% 43.38/43.64 cnf(matrix-5524, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11247, _u11249), _u11251)) | hBOOL(hAPP(hAPP(_u11249, skolem267(_u11251, _u11249, _u11247)), _u11251)) )).
% 43.38/43.64 cnf(matrix-5525, plain, ( hBOOL(hAPP(c_Wellfounded_Oaccp(_u11247, _u11249), _u11251)) | ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11247, _u11249), skolem267(_u11251, _u11249, _u11247))) )).
% 43.38/43.64 cnf(matrix-5526, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11252, _u11253), _u11254)) | ~hBOOL(hAPP(hAPP(_u11253, _u11255), _u11254)) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11252, _u11253), _u11255)) )).
% 43.38/43.64 cnf(matrix-5527, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11256), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11257)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11256, _u11257) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11256, _u11257))) )).
% 43.38/43.64 cnf(matrix-5528, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11258)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11259)) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11258, _u11259) = hAPP(c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11258, _u11259))) )).
% 43.38/43.64 cnf(matrix-5529, 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), _u11260))) | ( 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), _u11260)) = 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), _u11260)))) )).
% 43.38/43.64 cnf(matrix-5530, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11261)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11262), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11261, _u11262) = 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), _u11261), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11262))))) )).
% 43.38/43.64 cnf(matrix-5531, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11263), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11264), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( c_Divides_Odiv__class_Omod(tc_Int_Oint, _u11263, _u11264) = 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), _u11263), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11264))))) )).
% 43.38/43.64 cnf(matrix-5532, 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), _u11265), _u11266))) | ( _u11266 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u11265, _u11266) = _u11265) )).
% 43.38/43.64 cnf(matrix-5533, 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), _u11265), _u11266))) | ( _u11266 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Nitpick_Onat__gcd(_u11265, _u11266) = c_Nitpick_Onat__gcd(_u11266, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11265, _u11266))) )).
% 43.38/43.64 cnf(matrix-5534, plain, ( ( c_Nat_Onat_Onat__size(hAPP(c_Nat_OSuc, _u11267)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Nat_Onat_Onat__size(_u11267)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.64 cnf(matrix-5535, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11278, _u11274)), hAPP(_u11278, _u11276))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11272, _u11272)), hAPP(hAPP(c_Product__Type_OPair(_u11272, _u11272), _u11274), _u11276)), hAPP(c_Wellfounded_Omeasure(_u11272), _u11278))) )).
% 43.38/43.64 cnf(matrix-5536, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11279, _u11275)), hAPP(_u11279, _u11277))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11273, _u11273)), hAPP(hAPP(c_Product__Type_OPair(_u11273, _u11273), _u11275), _u11277)), hAPP(c_Wellfounded_Omeasure(_u11273), _u11279))) )).
% 43.38/43.64 cnf(matrix-5537, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u11280, _u11281) = hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11280, _u11281))) )).
% 43.38/43.64 cnf(matrix-5538, plain, ( ( c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-5539, plain, ( ~c_Relation_Oirrefl(_u11286, _u11288) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11286, _u11286)), hAPP(hAPP(c_Product__Type_OPair(_u11286, _u11286), _u11282), _u11282)), _u11288)) )).
% 43.38/43.64 cnf(matrix-5540, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11287, _u11287)), hAPP(hAPP(c_Product__Type_OPair(_u11287, _u11287), skolem268(_u11289, _u11287)), skolem268(_u11289, _u11287))), _u11289)) | c_Relation_Oirrefl(_u11287, _u11289) )).
% 43.38/43.64 cnf(matrix-5541, 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), _u11292), _u11293))) | hBOOL(hAPP(hAPP(_u11294, _u11292), _u11293)) | 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), skolem269(_u11294, _u11293, _u11292)), skolem270(_u11294, _u11293, _u11292)))) )).
% 43.38/43.64 cnf(matrix-5542, 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), _u11292), _u11293))) | hBOOL(hAPP(hAPP(_u11294, _u11292), _u11293)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem270(_u11294, _u11293, _u11292)), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | hBOOL(hAPP(hAPP(_u11294, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem269(_u11294, _u11293, _u11292))), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), skolem270(_u11294, _u11293, _u11292)))) )).
% 43.38/43.64 cnf(matrix-5543, 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), _u11292), _u11293))) | hBOOL(hAPP(hAPP(_u11294, _u11292), _u11293)) | ~hBOOL(hAPP(hAPP(_u11294, skolem269(_u11294, _u11293, _u11292)), skolem270(_u11294, _u11293, _u11292))) )).
% 43.38/43.64 cnf(matrix-5544, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u11295)), 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), _u11295)) = 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), _u11295)))))) )).
% 43.38/43.64 cnf(matrix-5545, plain, ( ( hAPP(c_Product__Type_Ofst(_u11296, _u11297), _u11298) != hAPP(c_Product__Type_Ofst(_u11296, _u11297), _u11299)) | ( hAPP(c_Product__Type_Osnd(_u11296, _u11297), _u11298) != hAPP(c_Product__Type_Osnd(_u11296, _u11297), _u11299)) | ( _u11298 = _u11299) )).
% 43.38/43.64 cnf(matrix-5546, plain, ( ( _u11304 != _u11306) | ( hAPP(c_Product__Type_Ofst(_u11308, _u11310), _u11304) = hAPP(c_Product__Type_Ofst(_u11308, _u11310), _u11306)) )).
% 43.38/43.64 cnf(matrix-5547, plain, ( ( _u11304 != _u11306) | ( hAPP(c_Product__Type_Osnd(_u11308, _u11310), _u11304) = hAPP(c_Product__Type_Osnd(_u11308, _u11310), _u11306)) )).
% 43.38/43.64 cnf(matrix-5548, plain, ( ( hAPP(c_Product__Type_Ofst(_u11309, _u11311), _u11305) != hAPP(c_Product__Type_Ofst(_u11309, _u11311), _u11307)) | ( hAPP(c_Product__Type_Osnd(_u11309, _u11311), _u11305) != hAPP(c_Product__Type_Osnd(_u11309, _u11311), _u11307)) | ( _u11305 = _u11307) )).
% 43.38/43.64 cnf(matrix-5549, plain, ( ( hAPP(c_Product__Type_Ofst(_u11312, _u11313), hAPP(hAPP(c_Product__Type_OPair(_u11312, _u11313), _u11314), _u11315)) = _u11314) )).
% 43.38/43.64 cnf(matrix-5550, plain, ( ( _u11318 = _u11320) | ( hAPP(c_Product__Type_Ofst(_u11316, _u11317), hAPP(hAPP(c_Product__Type_OPair(_u11316, _u11317), _u11318), _u11319)) != _u11320) )).
% 43.38/43.64 cnf(matrix-5551, plain, ( ( hAPP(c_Product__Type_Ofst(_u11321, _u11322), _u11323) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11321, _u11322, _u11321), c_COMBK(_u11321, _u11322)), _u11323)) )).
% 43.38/43.64 cnf(matrix-5552, plain, ( ( hAPP(c_Product__Type_Ofst(_u11324, _u11325), hAPP(c_Product__Type_Oapsnd(_u11326, _u11325, _u11324, _u11327), _u11328)) = hAPP(c_Product__Type_Ofst(_u11324, _u11326), _u11328)) )).
% 43.38/43.64 cnf(matrix-5553, plain, ( ( _u11329 = hAPP(hAPP(c_Product__Type_OPair(_u11330, _u11331), hAPP(c_Product__Type_Ofst(_u11330, _u11331), _u11329)), hAPP(c_Product__Type_Osnd(_u11330, _u11331), _u11329))) )).
% 43.38/43.64 cnf(matrix-5554, plain, ( ( hAPP(hAPP(c_Product__Type_OPair(_u11332, _u11333), hAPP(c_Product__Type_Ofst(_u11332, _u11333), _u11334)), hAPP(c_Product__Type_Osnd(_u11332, _u11333), _u11334)) = _u11334) )).
% 43.38/43.64 cnf(matrix-5555, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11335, _u11336, _u11337), _u11338), _u11339) = hAPP(hAPP(_u11338, hAPP(c_Product__Type_Ofst(_u11335, _u11336), _u11339)), hAPP(c_Product__Type_Osnd(_u11335, _u11336), _u11339))) )).
% 43.38/43.64 cnf(matrix-5556, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11340), _u11341) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_Odivmod__int(_u11340, _u11341))) )).
% 43.38/43.64 cnf(matrix-5557, plain, ( ( hAPP(hAPP(c_COMBS(tc_prod(_u11342, _u11343), _u11343, _u11344), hAPP(hAPP(c_COMBB(_u11345, tc_fun(_u11343, _u11344), tc_prod(_u11342, _u11343)), _u11346), hAPP(hAPP(c_COMBB(_u11342, _u11345, tc_prod(_u11342, _u11343)), _u11347), c_Product__Type_Ofst(_u11342, _u11343)))), c_Product__Type_Osnd(_u11342, _u11343)) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11342, _u11343, _u11344), hAPP(hAPP(c_COMBB(_u11345, tc_fun(_u11343, _u11344), _u11342), _u11346), _u11347))) )).
% 43.38/43.64 cnf(matrix-5558, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11348, _u11349, _u11350), _u11351), _u11352) = hAPP(hAPP(_u11351, hAPP(c_Product__Type_Ofst(_u11348, _u11349), _u11352)), hAPP(c_Product__Type_Osnd(_u11348, _u11349), _u11352))) )).
% 43.38/43.64 cnf(matrix-5559, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u11353, _u11354, _u11355), _u11356), _u11357) = hAPP(hAPP(_u11356, hAPP(c_Product__Type_Ofst(_u11353, _u11354), _u11357)), hAPP(c_Product__Type_Osnd(_u11353, _u11354), _u11357))) )).
% 43.38/43.64 cnf(matrix-5560, plain, ( ( c_HOL_OThe(tc_prod(_u11358, _u11359), hAPP(c_Product__Type_Oprod_Oprod__case(_u11358, _u11359, tc_HOL_Obool), _u11360)) = c_HOL_OThe(tc_prod(_u11358, _u11359), hAPP(hAPP(c_COMBS(tc_prod(_u11358, _u11359), _u11359, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u11358, tc_fun(_u11359, tc_HOL_Obool), tc_prod(_u11358, _u11359)), _u11360), c_Product__Type_Ofst(_u11358, _u11359))), c_Product__Type_Osnd(_u11358, _u11359)))) )).
% 43.38/43.64 cnf(matrix-5561, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11361), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11362)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11361), _u11362) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OnegDivAlg(_u11361, _u11362))) )).
% 43.38/43.64 cnf(matrix-5562, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11363)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11364)) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11363), _u11364) = hAPP(c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint), c_Divides_OposDivAlg(_u11363, _u11364))) )).
% 43.38/43.64 cnf(matrix-5563, 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), _u11365))) | ( 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), _u11365)) = 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), _u11365)))) )).
% 43.38/43.64 cnf(matrix-5564, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u11366)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11367), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11366), _u11367) = 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), _u11366), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11367))))) )).
% 43.38/43.64 cnf(matrix-5565, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u11368), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u11369), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint), _u11368), _u11369) = 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), _u11368), hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11369))))) )).
% 43.38/43.64 cnf(matrix-5566, plain, ( ( c_Product__Type_Oprod_Oprod__size(_u11370, _u11371, _u11372, _u11373, _u11374) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u11372, hAPP(c_Product__Type_Ofst(_u11370, _u11371), _u11374))), hAPP(_u11373, hAPP(c_Product__Type_Osnd(_u11370, _u11371), _u11374)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.64 cnf(matrix-5567, plain, ( ~hBOOL(hAPP(_u11375, _u11376)) | ~hBOOL(hAPP(_u11377, _u11378)) | hBOOL(hAPP(_u11375, hAPP(c_Product__Type_Ofst(_u11379, _u11380), hAPP(hAPP(c_Product__Type_OPair(_u11379, _u11380), _u11376), _u11378)))) )).
% 43.38/43.64 cnf(matrix-5568, plain, ( ~hBOOL(hAPP(_u11375, _u11376)) | ~hBOOL(hAPP(_u11377, _u11378)) | hBOOL(hAPP(_u11377, hAPP(c_Product__Type_Osnd(_u11379, _u11380), hAPP(hAPP(c_Product__Type_OPair(_u11379, _u11380), _u11376), _u11378)))) )).
% 43.38/43.64 cnf(matrix-5569, plain, ( ~hBOOL(hAPP(hAPP(_u11381, _u11382), _u11383)) | hBOOL(hAPP(hAPP(_u11381, hAPP(c_Product__Type_Osnd(_u11384, _u11385), hAPP(hAPP(c_Product__Type_OPair(_u11384, _u11385), _u11383), _u11382))), hAPP(c_Product__Type_Ofst(_u11384, _u11385), hAPP(hAPP(c_Product__Type_OPair(_u11384, _u11385), _u11383), _u11382)))) )).
% 43.38/43.64 cnf(matrix-5570, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), _u11386), _u11387) = hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), c_Divides_Odivmod__nat(_u11386, _u11387))) )).
% 43.38/43.64 cnf(matrix-5571, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11391 = 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), _u11395)), _u11393)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11395))) )).
% 43.38/43.64 cnf(matrix-5572, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11395) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-5573, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 = 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)), _u11393)) | 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), _u11395))) )).
% 43.38/43.64 cnf(matrix-5574, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 = 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)), _u11393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11395)), _u11393)) )).
% 43.38/43.64 cnf(matrix-5575, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 = 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)), _u11393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11393), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11395))) )).
% 43.38/43.64 cnf(matrix-5576, plain, ( ~hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11391, _u11393), _u11395)) | ( _u11393 = 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)), _u11393)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11395)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.64 cnf(matrix-5577, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( _u11394 = 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)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11394), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.64 cnf(matrix-5578, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( _u11394 = 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), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11394)) )).
% 43.38/43.64 cnf(matrix-5579, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( _u11394 = 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), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11394), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.64 cnf(matrix-5580, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11396) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u11394 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.38/43.64 cnf(matrix-5581, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11396) != 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)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11394), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.64 cnf(matrix-5582, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11396) != 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), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u11394)) )).
% 43.38/43.64 cnf(matrix-5583, plain, ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(_u11392, _u11394), _u11396)) | ( _u11392 != 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), _u11396)), _u11394)), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ( hAPP(c_Product__Type_Ofst(tc_Nat_Onat, tc_Nat_Onat), _u11396) != 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), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), _u11394)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11394), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Product__Type_Osnd(tc_Nat_Onat, tc_Nat_Onat), _u11396)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.38/43.64 cnf(matrix-5584, plain, ( ( hAPP(c_Int_Onat, _u11397) = 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, _u11397)), 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))))))) )).
% 43.38/43.64 cnf(matrix-5585, 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), _u11400), _u11401))) | hBOOL(hAPP(hAPP(_u11402, _u11400), _u11401)) | 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), skolem271(_u11402, _u11401, _u11400)), skolem272(_u11402, _u11401, _u11400)))) )).
% 43.38/43.64 cnf(matrix-5586, 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), _u11400), _u11401))) | hBOOL(hAPP(hAPP(_u11402, _u11400), _u11401)) | ( skolem272(_u11402, _u11401, _u11400) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(_u11402, skolem272(_u11402, _u11401, _u11400)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, skolem271(_u11402, _u11401, _u11400), skolem272(_u11402, _u11401, _u11400)))) )).
% 43.38/43.64 cnf(matrix-5587, 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), _u11400), _u11401))) | hBOOL(hAPP(hAPP(_u11402, _u11400), _u11401)) | ~hBOOL(hAPP(hAPP(_u11402, skolem271(_u11402, _u11401, _u11400)), skolem272(_u11402, _u11401, _u11400))) )).
% 43.38/43.64 cnf(matrix-5588, plain, ( ( hAPP(hAPP(c_Relation_Oinv__image(_u11403, _u11404), _u11405), _u11406) = hAPP(c_Set_OCollect(tc_prod(_u11404, _u11404)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11404, _u11404, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u11404, tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_fun(_u11404, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11404, tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_fun(_u11404, tc_HOL_Obool)), _u11404), c_COMBC(_u11404, tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11404, tc_prod(_u11403, _u11403)), tc_fun(_u11404, tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_HOL_Obool)), _u11404), hAPP(c_COMBB(tc_prod(_u11403, _u11403), tc_fun(tc_fun(tc_prod(_u11403, _u11403), tc_HOL_Obool), tc_HOL_Obool), _u11404), c_member(tc_prod(_u11403, _u11403)))), hAPP(hAPP(c_COMBC(_u11404, tc_fun(_u11404, _u11403), tc_fun(_u11404, tc_prod(_u11403, _u11403))), hAPP(hAPP(c_COMBB(tc_fun(_u11403, tc_prod(_u11403, _u11403)), tc_fun(tc_fun(_u11404, _u11403), tc_fun(_u11404, tc_prod(_u11403, _u11403))), _u11404), c_COMBB(_u11403, tc_prod(_u11403, _u11403), _u11404)), hAPP(hAPP(c_COMBB(_u11403, tc_fun(_u11403, tc_prod(_u11403, _u11403)), _u11404), c_Product__Type_OPair(_u11403, _u11403)), _u11406))), _u11406)))), _u11405)))) )).
% 43.38/43.64 cnf(matrix-5589, plain, ( ( hAPP(c_Int_ORep__Integ, _u11409) != hAPP(c_Int_ORep__Integ, _u11411)) | ( _u11409 = _u11411) )).
% 43.38/43.64 cnf(matrix-5590, plain, ( ( _u11410 != _u11412) | ( hAPP(c_Int_ORep__Integ, _u11410) = hAPP(c_Int_ORep__Integ, _u11412)) )).
% 43.38/43.64 cnf(matrix-5591, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u11425, _u11425)), hAPP(hAPP(c_Product__Type_OPair(_u11425, _u11425), hAPP(_u11429, _u11421)), hAPP(_u11429, _u11423))), _u11427)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11419, _u11419)), hAPP(hAPP(c_Product__Type_OPair(_u11419, _u11419), _u11421), _u11423)), hAPP(hAPP(c_Relation_Oinv__image(_u11425, _u11419), _u11427), _u11429))) )).
% 43.38/43.64 cnf(matrix-5592, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11426, _u11426)), hAPP(hAPP(c_Product__Type_OPair(_u11426, _u11426), hAPP(_u11430, _u11422)), hAPP(_u11430, _u11424))), _u11428)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11420, _u11420)), hAPP(hAPP(c_Product__Type_OPair(_u11420, _u11420), _u11422), _u11424)), hAPP(hAPP(c_Relation_Oinv__image(_u11426, _u11420), _u11428), _u11430))) )).
% 43.38/43.64 cnf(matrix-5593, plain, ( ( c_FunDef_Orp__inv__image(_u11431, _u11432) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))))), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool)), c_COMBB(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), tc_fun(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)), tc_fun(tc_fun(_u11432, _u11431), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool)), c_COMBS(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)), tc_fun(tc_fun(_u11432, _u11431), tc_fun(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), tc_fun(tc_prod(_u11431, _u11431), tc_HOL_Obool)), hAPP(c_COMBB(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_prod(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool))), tc_fun(_u11432, _u11431)), c_Product__Type_OPair(tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool), tc_fun(tc_prod(_u11432, _u11432), tc_HOL_Obool)))), c_Relation_Oinv__image(_u11431, _u11432))))), c_Relation_Oinv__image(_u11431, _u11432)))) )).
% 43.38/43.64 cnf(matrix-5594, plain, ( ~c_Equiv__Relations_Oequiv(_u11433, _u11434, _u11435) | ~hBOOL(hAPP(hAPP(c_member(_u11433), _u11436), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11433, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11433, _u11433, _u11435), hAPP(hAPP(c_Set_Oinsert(_u11433), _u11437), c_Orderings_Obot__class_Obot(tc_fun(_u11433, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11433, _u11433, _u11435), hAPP(hAPP(c_Set_Oinsert(_u11433), _u11438), c_Orderings_Obot__class_Obot(tc_fun(_u11433, tc_HOL_Obool))))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11433, _u11433)), hAPP(hAPP(c_Product__Type_OPair(_u11433, _u11433), _u11437), _u11438)), _u11435)) )).
% 43.38/43.64 cnf(matrix-5595, plain, ( ~c_Equiv__Relations_Oequiv(_u11439, _u11440, _u11441) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11439, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11439, _u11439, _u11441), hAPP(hAPP(c_Set_Oinsert(_u11439), _u11442), c_Orderings_Obot__class_Obot(tc_fun(_u11439, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11439, _u11439, _u11441), hAPP(hAPP(c_Set_Oinsert(_u11439), _u11443), c_Orderings_Obot__class_Obot(tc_fun(_u11439, tc_HOL_Obool)))))) | ~hBOOL(hAPP(hAPP(c_member(_u11439), _u11442), _u11440)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11439, _u11439)), hAPP(hAPP(c_Product__Type_OPair(_u11439, _u11439), _u11443), _u11442)), _u11441)) )).
% 43.38/43.64 cnf(matrix-5596, plain, ( ~c_Equiv__Relations_Oequiv(_u11444, _u11445, _u11446) | ~hBOOL(hAPP(hAPP(c_member(_u11444), _u11447), _u11445)) | hBOOL(hAPP(hAPP(c_member(_u11444), _u11447), hAPP(c_Relation_OImage(_u11444, _u11444, _u11446), hAPP(hAPP(c_Set_Oinsert(_u11444), _u11447), c_Orderings_Obot__class_Obot(tc_fun(_u11444, tc_HOL_Obool)))))) )).
% 43.38/43.64 cnf(matrix-5597, plain, ( ~c_Equiv__Relations_Oequiv(_u11448, _u11449, _u11450) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11448, tc_HOL_Obool)), _u11451), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11448), _u11449), _u11450))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11448, tc_HOL_Obool)), _u11452), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11448), _u11449), _u11450))) | ( _u11451 = _u11452) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11448, tc_HOL_Obool)), _u11451), _u11452) = c_Orderings_Obot__class_Obot(tc_fun(_u11448, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5598, plain, ( ~c_Equiv__Relations_Oequiv(_u11453, _u11454, _u11455) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11453, _u11453)), hAPP(hAPP(c_Product__Type_OPair(_u11453, _u11453), _u11456), _u11457)), _u11455)) | ( hAPP(c_Relation_OImage(_u11453, _u11453, _u11455), hAPP(hAPP(c_Set_Oinsert(_u11453), _u11456), c_Orderings_Obot__class_Obot(tc_fun(_u11453, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11453, _u11453, _u11455), hAPP(hAPP(c_Set_Oinsert(_u11453), _u11457), c_Orderings_Obot__class_Obot(tc_fun(_u11453, tc_HOL_Obool))))) )).
% 43.38/43.64 cnf(matrix-5599, plain, ( ~c_Equiv__Relations_Oequiv(_u11458, _u11459, _u11460) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11458, tc_HOL_Obool)), _u11461), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11458), _u11459), _u11460))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11458, tc_HOL_Obool)), _u11462), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11458), _u11459), _u11460))) | ~hBOOL(hAPP(hAPP(c_member(_u11458), _u11463), _u11461)) | ~hBOOL(hAPP(hAPP(c_member(_u11458), _u11464), _u11462)) | ( _u11461 != _u11462) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11458, _u11458)), hAPP(hAPP(c_Product__Type_OPair(_u11458, _u11458), _u11463), _u11464)), _u11460)) )).
% 43.38/43.64 cnf(matrix-5600, plain, ( ~c_Equiv__Relations_Oequiv(_u11458, _u11459, _u11460) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11458, tc_HOL_Obool)), _u11461), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11458), _u11459), _u11460))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11458, tc_HOL_Obool)), _u11462), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11458), _u11459), _u11460))) | ~hBOOL(hAPP(hAPP(c_member(_u11458), _u11463), _u11461)) | ~hBOOL(hAPP(hAPP(c_member(_u11458), _u11464), _u11462)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11458, _u11458)), hAPP(hAPP(c_Product__Type_OPair(_u11458, _u11458), _u11463), _u11464)), _u11460)) | ( _u11461 = _u11462) )).
% 43.38/43.64 cnf(matrix-5601, plain, ( ~c_Equiv__Relations_Oequiv(_u11465, _u11466, _u11467) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11465, tc_HOL_Obool)), _u11468), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11465), _u11466), _u11467))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11465, tc_HOL_Obool)), _u11469), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11465), _u11466), _u11467))) | ~hBOOL(hAPP(hAPP(c_member(_u11465), _u11470), _u11468)) | ~hBOOL(hAPP(hAPP(c_member(_u11465), _u11471), _u11469)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11465, _u11465)), hAPP(hAPP(c_Product__Type_OPair(_u11465, _u11465), _u11470), _u11471)), _u11467)) | ( _u11468 = _u11469) )).
% 43.38/43.64 cnf(matrix-5602, plain, ( ~c_Equiv__Relations_Oequiv(_u11472, _u11473, _u11474) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11472, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11472, _u11472), _u11475), _u11476)), _u11474)) | ( hAPP(c_Relation_OImage(_u11472, _u11472, _u11474), hAPP(hAPP(c_Set_Oinsert(_u11472), _u11475), c_Orderings_Obot__class_Obot(tc_fun(_u11472, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11472, _u11472, _u11474), hAPP(hAPP(c_Set_Oinsert(_u11472), _u11476), c_Orderings_Obot__class_Obot(tc_fun(_u11472, tc_HOL_Obool))))) )).
% 43.38/43.64 cnf(matrix-5603, plain, ( ~c_Equiv__Relations_Oequiv(_u11472, _u11473, _u11474) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11472, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11472, _u11472), _u11475), _u11476)), _u11474)) | hBOOL(hAPP(hAPP(c_member(_u11472), _u11475), _u11473)) )).
% 43.38/43.64 cnf(matrix-5604, plain, ( ~c_Equiv__Relations_Oequiv(_u11472, _u11473, _u11474) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11472, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11472, _u11472), _u11475), _u11476)), _u11474)) | hBOOL(hAPP(hAPP(c_member(_u11472), _u11476), _u11473)) )).
% 43.38/43.64 cnf(matrix-5605, plain, ( ~c_Equiv__Relations_Oequiv(_u11472, _u11473, _u11474) | ( hAPP(c_Relation_OImage(_u11472, _u11472, _u11474), hAPP(hAPP(c_Set_Oinsert(_u11472), _u11475), c_Orderings_Obot__class_Obot(tc_fun(_u11472, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11472, _u11472, _u11474), hAPP(hAPP(c_Set_Oinsert(_u11472), _u11476), c_Orderings_Obot__class_Obot(tc_fun(_u11472, tc_HOL_Obool))))) | ~hBOOL(hAPP(hAPP(c_member(_u11472), _u11475), _u11473)) | ~hBOOL(hAPP(hAPP(c_member(_u11472), _u11476), _u11473)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11472, _u11472)), hAPP(hAPP(c_Product__Type_OPair(_u11472, _u11472), _u11475), _u11476)), _u11474)) )).
% 43.38/43.64 cnf(matrix-5606, plain, ( ~c_Equiv__Relations_Oequiv(_u11477, _u11478, _u11479) | ~hBOOL(hAPP(hAPP(c_member(_u11477), _u11480), _u11478)) | ~hBOOL(hAPP(hAPP(c_member(_u11477), _u11481), _u11478)) | ( hAPP(c_Relation_OImage(_u11477, _u11477, _u11479), hAPP(hAPP(c_Set_Oinsert(_u11477), _u11480), c_Orderings_Obot__class_Obot(tc_fun(_u11477, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11477, _u11477, _u11479), hAPP(hAPP(c_Set_Oinsert(_u11477), _u11481), c_Orderings_Obot__class_Obot(tc_fun(_u11477, tc_HOL_Obool))))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11477, _u11477)), hAPP(hAPP(c_Product__Type_OPair(_u11477, _u11477), _u11480), _u11481)), _u11479)) )).
% 43.38/43.64 cnf(matrix-5607, plain, ( ~c_Equiv__Relations_Oequiv(_u11477, _u11478, _u11479) | ~hBOOL(hAPP(hAPP(c_member(_u11477), _u11480), _u11478)) | ~hBOOL(hAPP(hAPP(c_member(_u11477), _u11481), _u11478)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11477, _u11477)), hAPP(hAPP(c_Product__Type_OPair(_u11477, _u11477), _u11480), _u11481)), _u11479)) | ( hAPP(c_Relation_OImage(_u11477, _u11477, _u11479), hAPP(hAPP(c_Set_Oinsert(_u11477), _u11480), c_Orderings_Obot__class_Obot(tc_fun(_u11477, tc_HOL_Obool)))) = hAPP(c_Relation_OImage(_u11477, _u11477, _u11479), hAPP(hAPP(c_Set_Oinsert(_u11477), _u11481), c_Orderings_Obot__class_Obot(tc_fun(_u11477, tc_HOL_Obool))))) )).
% 43.38/43.64 cnf(matrix-5608, plain, ( ( hAPP(c_Relation_OImage(_u11482, _u11482, _u11483), hAPP(hAPP(c_Set_Oinsert(_u11482), _u11484), c_Orderings_Obot__class_Obot(tc_fun(_u11482, tc_HOL_Obool)))) != hAPP(c_Relation_OImage(_u11482, _u11482, _u11483), hAPP(hAPP(c_Set_Oinsert(_u11482), _u11485), c_Orderings_Obot__class_Obot(tc_fun(_u11482, tc_HOL_Obool))))) | ~c_Equiv__Relations_Oequiv(_u11482, _u11486, _u11483) | ~hBOOL(hAPP(hAPP(c_member(_u11482), _u11485), _u11486)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11482, _u11482)), hAPP(hAPP(c_Product__Type_OPair(_u11482, _u11482), _u11484), _u11485)), _u11483)) )).
% 43.38/43.64 cnf(matrix-5609, plain, ( ~c_Equiv__Relations_Oequiv(_u11487, _u11488, _u11489) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11487, _u11487)), hAPP(hAPP(c_Product__Type_OPair(_u11487, _u11487), _u11490), _u11491)), _u11489)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11487, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11487, _u11487, _u11489), hAPP(hAPP(c_Set_Oinsert(_u11487), _u11490), c_Orderings_Obot__class_Obot(tc_fun(_u11487, tc_HOL_Obool))))), hAPP(c_Relation_OImage(_u11487, _u11487, _u11489), hAPP(hAPP(c_Set_Oinsert(_u11487), _u11491), c_Orderings_Obot__class_Obot(tc_fun(_u11487, tc_HOL_Obool)))))) )).
% 43.38/43.64 cnf(matrix-5610, plain, ( ~c_Equiv__Relations_Oequiv(_u11492, _u11493, _u11494) | ~hBOOL(hAPP(hAPP(c_member(_u11492), _u11495), _u11493)) | ~hBOOL(hAPP(hAPP(c_member(_u11492), _u11496), _u11493)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11492), hAPP(hAPP(c_Set_Oinsert(_u11492), _u11495), c_Orderings_Obot__class_Obot(tc_fun(_u11492, tc_HOL_Obool)))), _u11494) != hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11492), hAPP(hAPP(c_Set_Oinsert(_u11492), _u11496), c_Orderings_Obot__class_Obot(tc_fun(_u11492, tc_HOL_Obool)))), _u11494)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11492, _u11492)), hAPP(hAPP(c_Product__Type_OPair(_u11492, _u11492), _u11495), _u11496)), _u11494)) )).
% 43.38/43.64 cnf(matrix-5611, plain, ( ~c_Equiv__Relations_Oequiv(_u11492, _u11493, _u11494) | ~hBOOL(hAPP(hAPP(c_member(_u11492), _u11495), _u11493)) | ~hBOOL(hAPP(hAPP(c_member(_u11492), _u11496), _u11493)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11492, _u11492)), hAPP(hAPP(c_Product__Type_OPair(_u11492, _u11492), _u11495), _u11496)), _u11494)) | ( hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11492), hAPP(hAPP(c_Set_Oinsert(_u11492), _u11495), c_Orderings_Obot__class_Obot(tc_fun(_u11492, tc_HOL_Obool)))), _u11494) = hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11492), hAPP(hAPP(c_Set_Oinsert(_u11492), _u11496), c_Orderings_Obot__class_Obot(tc_fun(_u11492, tc_HOL_Obool)))), _u11494)) )).
% 43.38/43.64 cnf(matrix-5612, plain, ( ~c_Equiv__Relations_Oequiv(_u11497, _u11498, _u11499) | ~c_Equiv__Relations_Ocongruent(_u11497, tc_fun(_u11500, tc_HOL_Obool), _u11499, _u11501) | ~hBOOL(hAPP(hAPP(c_member(_u11497), _u11502), _u11498)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11497, tc_fun(_u11500, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11497, _u11497, _u11499), hAPP(hAPP(c_Set_Oinsert(_u11497), _u11502), c_Orderings_Obot__class_Obot(tc_fun(_u11497, tc_HOL_Obool))))), _u11501) = hAPP(_u11501, _u11502)) )).
% 43.38/43.64 cnf(matrix-5613, plain, ( ~c_Equiv__Relations_Oequiv(_u11503, _u11504, _u11505) | ~c_Equiv__Relations_Oequiv(_u11506, _u11507, _u11508) | ~c_Equiv__Relations_Ocongruent2(_u11503, _u11506, tc_fun(_u11509, tc_HOL_Obool), _u11505, _u11508, _u11510) | ~hBOOL(hAPP(hAPP(c_member(_u11503), _u11511), _u11504)) | ~hBOOL(hAPP(hAPP(c_member(_u11506), _u11512), _u11507)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11503, tc_fun(_u11509, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11503, _u11503, _u11505), hAPP(hAPP(c_Set_Oinsert(_u11503), _u11511), c_Orderings_Obot__class_Obot(tc_fun(_u11503, tc_HOL_Obool))))), hAPP(hAPP(c_COMBB(tc_fun(_u11506, tc_fun(_u11509, tc_HOL_Obool)), tc_fun(_u11509, tc_HOL_Obool), _u11503), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11506, tc_fun(_u11509, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11506, _u11506, _u11508), hAPP(hAPP(c_Set_Oinsert(_u11506), _u11512), c_Orderings_Obot__class_Obot(tc_fun(_u11506, tc_HOL_Obool)))))), _u11510)) = hAPP(hAPP(_u11510, _u11511), _u11512)) )).
% 43.38/43.64 cnf(matrix-5614, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11516, tc_HOL_Obool), tc_fun(_u11516, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11516, tc_HOL_Obool), tc_fun(_u11516, tc_HOL_Obool)), _u11518), _u11520)), c_Wellfounded_Ofinite__psubset(_u11516))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11516, tc_HOL_Obool)), _u11518), _u11520)) )).
% 43.38/43.64 cnf(matrix-5615, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11516, tc_HOL_Obool), tc_fun(_u11516, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11516, tc_HOL_Obool), tc_fun(_u11516, tc_HOL_Obool)), _u11518), _u11520)), c_Wellfounded_Ofinite__psubset(_u11516))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11516), _u11520)) )).
% 43.38/43.64 cnf(matrix-5616, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(_u11517, tc_HOL_Obool)), _u11519), _u11521)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u11517), _u11521)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11517, tc_HOL_Obool), tc_fun(_u11517, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11517, tc_HOL_Obool), tc_fun(_u11517, tc_HOL_Obool)), _u11519), _u11521)), c_Wellfounded_Ofinite__psubset(_u11517))) )).
% 43.38/43.64 cnf(matrix-5617, plain, ( ~c_Equiv__Relations_Oequiv(_u11522, _u11523, _u11524) | ~c_Equiv__Relations_Ocongruent2(_u11522, _u11525, _u11526, _u11524, _u11527, _u11528) | ~hBOOL(hAPP(hAPP(c_member(_u11522), _u11529), _u11523)) | c_Equiv__Relations_Ocongruent(_u11525, _u11526, _u11527, hAPP(_u11528, _u11529)) )).
% 43.38/43.64 cnf(matrix-5618, plain, ( ~c_Equiv__Relations_Ocongruent2(_u11530, _u11531, _u11532, _u11533, _u11534, _u11535) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11530, _u11530)), hAPP(hAPP(c_Product__Type_OPair(_u11530, _u11530), _u11536), _u11537)), _u11533)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11531, _u11531)), hAPP(hAPP(c_Product__Type_OPair(_u11531, _u11531), _u11538), _u11539)), _u11534)) | ( hAPP(hAPP(_u11535, _u11536), _u11538) = hAPP(hAPP(_u11535, _u11537), _u11539)) )).
% 43.38/43.64 cnf(matrix-5619, plain, ( ~c_Equiv__Relations_Ocongruent(_u11540, _u11541, _u11542, _u11543) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11540, _u11540)), hAPP(hAPP(c_Product__Type_OPair(_u11540, _u11540), _u11544), _u11545)), _u11542)) | ( hAPP(_u11543, _u11544) = hAPP(_u11543, _u11545)) )).
% 43.38/43.64 cnf(matrix-5620, plain, ( ~c_Equiv__Relations_Oequiv(_u11546, _u11547, _u11548) | ~c_Equiv__Relations_Oequiv(_u11549, _u11550, _u11551) | ~c_Equiv__Relations_Ocongruent2(_u11546, _u11549, tc_fun(_u11552, tc_HOL_Obool), _u11548, _u11551, _u11553) | ~hBOOL(hAPP(hAPP(c_member(_u11549), _u11554), _u11550)) | c_Equiv__Relations_Ocongruent(_u11546, tc_fun(_u11552, tc_HOL_Obool), _u11548, hAPP(hAPP(c_COMBB(tc_fun(_u11549, tc_fun(_u11552, tc_HOL_Obool)), tc_fun(_u11552, tc_HOL_Obool), _u11546), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11549, tc_fun(_u11552, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u11549, _u11549, _u11551), hAPP(hAPP(c_Set_Oinsert(_u11549), _u11554), c_Orderings_Obot__class_Obot(tc_fun(_u11549, tc_HOL_Obool)))))), _u11553)) )).
% 43.38/43.64 cnf(matrix-5621, plain, ( ( c_Wellfounded_Ofinite__psubset(_u11555) = hAPP(c_Set_OCollect(tc_prod(tc_fun(_u11555, tc_HOL_Obool), tc_fun(_u11555, tc_HOL_Obool))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_fun(_u11555, tc_HOL_Obool), tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_fun(_u11555, tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool)), tc_fun(_u11555, tc_HOL_Obool)), c_COMBS(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u11555, tc_HOL_Obool), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(_u11555, tc_HOL_Obool)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u11555, tc_HOL_Obool)), c_fconj)), c_Orderings_Oord__class_Oless(tc_fun(_u11555, tc_HOL_Obool))))), c_Finite__Set_Ofinite(_u11555))))) )).
% 43.38/43.64 cnf(matrix-5622, plain, ( ~c_Equiv__Relations_Oequiv(_u11558, _u11559, _u11560) | ~c_Equiv__Relations_Ocongruent(_u11558, tc_fun(_u11561, tc_HOL_Obool), _u11560, _u11562) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11563), _u11562) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11564), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11563), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11564), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ( _u11563 = _u11564) | hBOOL(hAPP(hAPP(c_member(_u11558), skolem273(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558)), _u11559)) )).
% 43.38/43.64 cnf(matrix-5623, plain, ( ~c_Equiv__Relations_Oequiv(_u11558, _u11559, _u11560) | ~c_Equiv__Relations_Ocongruent(_u11558, tc_fun(_u11561, tc_HOL_Obool), _u11560, _u11562) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11563), _u11562) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11564), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11563), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11564), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ( _u11563 = _u11564) | hBOOL(hAPP(hAPP(c_member(_u11558), skolem274(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558)), _u11559)) )).
% 43.38/43.64 cnf(matrix-5624, plain, ( ~c_Equiv__Relations_Oequiv(_u11558, _u11559, _u11560) | ~c_Equiv__Relations_Ocongruent(_u11558, tc_fun(_u11561, tc_HOL_Obool), _u11560, _u11562) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11563), _u11562) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11564), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11563), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11564), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ( _u11563 = _u11564) | ( hAPP(_u11562, skolem273(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558)) = hAPP(_u11562, skolem274(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558))) )).
% 43.38/43.64 cnf(matrix-5625, plain, ( ~c_Equiv__Relations_Oequiv(_u11558, _u11559, _u11560) | ~c_Equiv__Relations_Ocongruent(_u11558, tc_fun(_u11561, tc_HOL_Obool), _u11560, _u11562) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11563), _u11562) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11558, tc_fun(_u11561, tc_HOL_Obool)), _u11564), _u11562)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11563), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11558, tc_HOL_Obool)), _u11564), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11558), _u11559), _u11560))) | ( _u11563 = _u11564) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11558, _u11558)), hAPP(hAPP(c_Product__Type_OPair(_u11558, _u11558), skolem273(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558)), skolem274(_u11564, _u11563, _u11562, _u11561, _u11560, _u11559, _u11558))), _u11560)) )).
% 43.38/43.64 cnf(matrix-5626, plain, ( ~c_Equiv__Relations_Oequiv(_u11567, _u11568, _u11569) | ~c_Equiv__Relations_Oequiv(_u11570, _u11571, _u11572) | ~c_Equiv__Relations_Ocongruent2(_u11567, _u11570, tc_fun(_u11573, tc_HOL_Obool), _u11569, _u11572, _u11574) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11567, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11567), _u11568), _u11569))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11570, tc_HOL_Obool)), _u11576), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11570), _u11571), _u11572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11573, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11567, tc_fun(_u11573, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_COMBB(tc_fun(_u11570, tc_fun(_u11573, tc_HOL_Obool)), tc_fun(_u11573, tc_HOL_Obool), _u11567), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11570, tc_fun(_u11573, tc_HOL_Obool)), _u11576)), _u11574))), _u11577)) | hBOOL(hAPP(hAPP(c_member(_u11567), skolem275(_u11577, _u11576, _u11575, _u11574, _u11573, _u11572, _u11571, _u11570, _u11569, _u11568, _u11567)), _u11568)) )).
% 43.38/43.64 cnf(matrix-5627, plain, ( ~c_Equiv__Relations_Oequiv(_u11567, _u11568, _u11569) | ~c_Equiv__Relations_Oequiv(_u11570, _u11571, _u11572) | ~c_Equiv__Relations_Ocongruent2(_u11567, _u11570, tc_fun(_u11573, tc_HOL_Obool), _u11569, _u11572, _u11574) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11567, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11567), _u11568), _u11569))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11570, tc_HOL_Obool)), _u11576), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11570), _u11571), _u11572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11573, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11567, tc_fun(_u11573, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_COMBB(tc_fun(_u11570, tc_fun(_u11573, tc_HOL_Obool)), tc_fun(_u11573, tc_HOL_Obool), _u11567), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11570, tc_fun(_u11573, tc_HOL_Obool)), _u11576)), _u11574))), _u11577)) | hBOOL(hAPP(hAPP(c_member(_u11570), skolem276(_u11577, _u11576, _u11575, _u11574, _u11573, _u11572, _u11571, _u11570, _u11569, _u11568, _u11567)), _u11571)) )).
% 43.38/43.64 cnf(matrix-5628, plain, ( ~c_Equiv__Relations_Oequiv(_u11567, _u11568, _u11569) | ~c_Equiv__Relations_Oequiv(_u11570, _u11571, _u11572) | ~c_Equiv__Relations_Ocongruent2(_u11567, _u11570, tc_fun(_u11573, tc_HOL_Obool), _u11569, _u11572, _u11574) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11567, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11567), _u11568), _u11569))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11570, tc_HOL_Obool)), _u11576), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11570), _u11571), _u11572))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11573, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11567, tc_fun(_u11573, tc_HOL_Obool)), _u11575), hAPP(hAPP(c_COMBB(tc_fun(_u11570, tc_fun(_u11573, tc_HOL_Obool)), tc_fun(_u11573, tc_HOL_Obool), _u11567), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11570, tc_fun(_u11573, tc_HOL_Obool)), _u11576)), _u11574))), _u11577)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11573, tc_HOL_Obool)), hAPP(hAPP(_u11574, skolem275(_u11577, _u11576, _u11575, _u11574, _u11573, _u11572, _u11571, _u11570, _u11569, _u11568, _u11567)), skolem276(_u11577, _u11576, _u11575, _u11574, _u11573, _u11572, _u11571, _u11570, _u11569, _u11568, _u11567))), _u11577)) )).
% 43.38/43.64 cnf(matrix-5629, plain, ( ~c_Equiv__Relations_Oequiv(_u11579, _u11580, _u11581) | ~c_Equiv__Relations_Ocongruent(_u11579, tc_fun(_u11582, tc_HOL_Obool), _u11581, _u11583) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11579, tc_HOL_Obool)), _u11584), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11579), _u11580), _u11581))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11582, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11579, tc_fun(_u11582, tc_HOL_Obool)), _u11584), _u11583)), _u11585)) | hBOOL(hAPP(hAPP(c_member(_u11579), skolem277(_u11585, _u11584, _u11583, _u11582, _u11581, _u11580, _u11579)), _u11580)) )).
% 43.38/43.64 cnf(matrix-5630, plain, ( ~c_Equiv__Relations_Oequiv(_u11579, _u11580, _u11581) | ~c_Equiv__Relations_Ocongruent(_u11579, tc_fun(_u11582, tc_HOL_Obool), _u11581, _u11583) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11579, tc_HOL_Obool)), _u11584), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u11579), _u11580), _u11581))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u11582, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11579, tc_fun(_u11582, tc_HOL_Obool)), _u11584), _u11583)), _u11585)) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u11582, tc_HOL_Obool)), hAPP(_u11583, skolem277(_u11585, _u11584, _u11583, _u11582, _u11581, _u11580, _u11579))), _u11585)) )).
% 43.38/43.64 cnf(matrix-5631, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u11586, _u11587)), hAPP(_u11586, _u11588))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11589, _u11589)), hAPP(hAPP(c_Product__Type_OPair(_u11589, _u11589), _u11587), _u11588)), _u11590)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11589, _u11589)), hAPP(hAPP(c_Product__Type_OPair(_u11589, _u11589), _u11587), _u11588)), c_Wellfounded_Omlex__prod(_u11589, _u11586, _u11590))) )).
% 43.38/43.64 cnf(matrix-5632, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(c_Code__Numeral_OSuc__code__numeral(_u11591)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Code__Numeral_Ocode__numeral_Ocode__numeral__size(_u11591)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.64 cnf(matrix-5633, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u11592, _u11593)), hAPP(_u11592, _u11594))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11595, _u11595)), hAPP(hAPP(c_Product__Type_OPair(_u11595, _u11595), _u11593), _u11594)), c_Wellfounded_Omlex__prod(_u11595, _u11592, _u11596))) )).
% 43.38/43.64 cnf(matrix-5634, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u11599) != c_Code__Numeral_OSuc__code__numeral(_u11601)) | ( _u11599 = _u11601) )).
% 43.38/43.64 cnf(matrix-5635, plain, ( ( _u11600 != _u11602) | ( c_Code__Numeral_OSuc__code__numeral(_u11600) = c_Code__Numeral_OSuc__code__numeral(_u11602)) )).
% 43.38/43.64 cnf(matrix-5636, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u11603) != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 43.38/43.64 cnf(matrix-5637, plain, ( ( c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(_u11604)) )).
% 43.38/43.64 cnf(matrix-5638, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u11605)), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) = _u11605) )).
% 43.38/43.64 cnf(matrix-5639, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), c_Code__Numeral_OSuc__code__numeral(_u11606)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Code__Numeral_Ocode__numeral), _u11606)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.64 cnf(matrix-5640, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u11607)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u11607)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.64 cnf(matrix-5641, plain, ( ( c_Product__Type_Oprod_Oprod__rec(_u11608, _u11609, _u11610, _u11611, hAPP(hAPP(c_Product__Type_OPair(_u11608, _u11609), _u11612), _u11613)) = hAPP(hAPP(_u11611, _u11612), _u11613)) )).
% 43.38/43.64 cnf(matrix-5642, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat), _u11614) = _u11614) )).
% 43.38/43.64 cnf(matrix-5643, 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)) )).
% 43.38/43.64 cnf(matrix-5644, 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)) )).
% 43.38/43.64 cnf(matrix-5645, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11617, _u11618)), hAPP(hAPP(c_Product__Type_OPair(_u11617, _u11618), _u11619), _u11620)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621) | hBOOL(hAPP(hAPP(_u11622, _u11619), _u11620)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11617, _u11618)), hAPP(hAPP(c_Product__Type_OPair(_u11617, _u11618), skolem278(_u11622, _u11621, _u11620, _u11619, _u11618, _u11617)), skolem279(_u11622, _u11621, _u11620, _u11619, _u11618, _u11617))), hAPP(_u11621, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621)), hAPP(c_Set_OCollect(tc_prod(_u11617, _u11618)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11617, _u11618, tc_HOL_Obool), _u11622)))))) )).
% 43.38/43.64 cnf(matrix-5646, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11617, _u11618)), hAPP(hAPP(c_Product__Type_OPair(_u11617, _u11618), _u11619), _u11620)), c_Inductive_Ocomplete__lattice__class_Olfp(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621))) | ~c_Orderings_Oorder__class_Omono(tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), tc_fun(tc_prod(_u11617, _u11618), tc_HOL_Obool), _u11621) | hBOOL(hAPP(hAPP(_u11622, _u11619), _u11620)) | ~hBOOL(hAPP(hAPP(_u11622, skolem278(_u11622, _u11621, _u11620, _u11619, _u11618, _u11617)), skolem279(_u11622, _u11621, _u11620, _u11619, _u11618, _u11617))) )).
% 43.38/43.64 cnf(matrix-5647, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11631, _u11633), tc_prod(_u11631, _u11633))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11631, _u11633), tc_prod(_u11631, _u11633)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11633), _u11635), _u11637)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11633), _u11639), _u11641))), c_Wellfounded_Olex__prod(_u11631, _u11633, _u11643, _u11645))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11631, _u11631)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11631), _u11635), _u11639)), _u11643)) | ( _u11635 = _u11639) )).
% 43.38/43.64 cnf(matrix-5648, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11631, _u11633), tc_prod(_u11631, _u11633))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11631, _u11633), tc_prod(_u11631, _u11633)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11633), _u11635), _u11637)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11633), _u11639), _u11641))), c_Wellfounded_Olex__prod(_u11631, _u11633, _u11643, _u11645))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11631, _u11631)), hAPP(hAPP(c_Product__Type_OPair(_u11631, _u11631), _u11635), _u11639)), _u11643)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11633, _u11633)), hAPP(hAPP(c_Product__Type_OPair(_u11633, _u11633), _u11637), _u11641)), _u11645)) )).
% 43.38/43.64 cnf(matrix-5649, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11632, _u11634), tc_prod(_u11632, _u11634))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11632, _u11634), tc_prod(_u11632, _u11634)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11636), _u11638)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11640), _u11642))), c_Wellfounded_Olex__prod(_u11632, _u11634, _u11644, _u11646))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11632, _u11632)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11632), _u11636), _u11640)), _u11644)) )).
% 43.38/43.64 cnf(matrix-5650, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11632, _u11634), tc_prod(_u11632, _u11634))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11632, _u11634), tc_prod(_u11632, _u11634)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11636), _u11638)), hAPP(hAPP(c_Product__Type_OPair(_u11632, _u11634), _u11640), _u11642))), c_Wellfounded_Olex__prod(_u11632, _u11634, _u11644, _u11646))) | ( _u11636 != _u11640) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11634, _u11634)), hAPP(hAPP(c_Product__Type_OPair(_u11634, _u11634), _u11638), _u11642)), _u11646)) )).
% 43.38/43.64 cnf(matrix-5651, plain, ( ~c_Equiv__Relations_Oequiv(_u11649, c_Orderings_Otop__class_Otop(tc_fun(_u11649, tc_HOL_Obool)), _u11651) | c_Equiv__Relations_Oequivp(_u11649, hAPP(hAPP(c_COMBC(_u11649, tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_fun(_u11649, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11649, tc_fun(tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_fun(_u11649, tc_HOL_Obool)), _u11649), c_COMBC(_u11649, tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11649, tc_prod(_u11649, _u11649)), tc_fun(_u11649, tc_fun(tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_HOL_Obool)), _u11649), hAPP(c_COMBB(tc_prod(_u11649, _u11649), tc_fun(tc_fun(tc_prod(_u11649, _u11649), tc_HOL_Obool), tc_HOL_Obool), _u11649), c_member(tc_prod(_u11649, _u11649)))), c_Product__Type_OPair(_u11649, _u11649)))), _u11651)) )).
% 43.38/43.64 cnf(matrix-5652, plain, ( ~c_Equiv__Relations_Oequivp(_u11650, hAPP(hAPP(c_COMBC(_u11650, tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_fun(_u11650, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11650, tc_fun(tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_fun(_u11650, tc_HOL_Obool)), _u11650), c_COMBC(_u11650, tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11650, tc_prod(_u11650, _u11650)), tc_fun(_u11650, tc_fun(tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_HOL_Obool)), _u11650), hAPP(c_COMBB(tc_prod(_u11650, _u11650), tc_fun(tc_fun(tc_prod(_u11650, _u11650), tc_HOL_Obool), tc_HOL_Obool), _u11650), c_member(tc_prod(_u11650, _u11650)))), c_Product__Type_OPair(_u11650, _u11650)))), _u11652)) | c_Equiv__Relations_Oequiv(_u11650, c_Orderings_Otop__class_Otop(tc_fun(_u11650, tc_HOL_Obool)), _u11652) )).
% 43.38/43.64 cnf(matrix-5653, plain, ( ~hBOOL(hAPP(hAPP(_u11654, _u11655), _u11656)) | ~hBOOL(hAPP(hAPP(_u11654, _u11656), _u11657)) | hBOOL(hAPP(hAPP(_u11654, _u11655), _u11657)) | ~c_Equiv__Relations_Oequivp(_u11653, _u11654) )).
% 43.38/43.64 cnf(matrix-5654, plain, ( ~hBOOL(hAPP(hAPP(_u11659, _u11660), _u11661)) | hBOOL(hAPP(hAPP(_u11659, _u11661), _u11660)) | ~c_Equiv__Relations_Oequivp(_u11658, _u11659) )).
% 43.38/43.64 cnf(matrix-5655, plain, ( hBOOL(hAPP(hAPP(_u11663, _u11664), _u11664)) | ~c_Equiv__Relations_Oequivp(_u11662, _u11663) )).
% 43.38/43.64 cnf(matrix-5656, plain, ( ~c_Equiv__Relations_Oequivp(_u11679, _u11681) | ~hBOOL(hAPP(hAPP(_u11681, _u11673), _u11671)) | ( hAPP(_u11681, _u11673) = hAPP(_u11681, _u11671)) )).
% 43.38/43.64 cnf(matrix-5657, plain, ( ~c_Equiv__Relations_Oequivp(_u11679, _u11681) | ( hAPP(_u11681, _u11674) != hAPP(_u11681, _u11672)) | hBOOL(hAPP(hAPP(_u11681, _u11674), _u11672)) )).
% 43.38/43.64 cnf(matrix-5658, plain, ( c_Equiv__Relations_Oequivp(_u11680, _u11682) | hBOOL(hAPP(hAPP(_u11682, skolem280(_u11682)), skolem281(_u11682))) | ( hAPP(_u11682, skolem282(_u11682)) = hAPP(_u11682, skolem283(_u11682))) )).
% 43.38/43.64 cnf(matrix-5659, plain, ( c_Equiv__Relations_Oequivp(_u11680, _u11682) | hBOOL(hAPP(hAPP(_u11682, skolem280(_u11682)), skolem281(_u11682))) | ~hBOOL(hAPP(hAPP(_u11682, skolem282(_u11682)), skolem283(_u11682))) )).
% 43.38/43.64 cnf(matrix-5660, plain, ( c_Equiv__Relations_Oequivp(_u11680, _u11682) | ( hAPP(_u11682, skolem280(_u11682)) != hAPP(_u11682, skolem281(_u11682))) | ( hAPP(_u11682, skolem282(_u11682)) = hAPP(_u11682, skolem283(_u11682))) )).
% 43.38/43.64 cnf(matrix-5661, plain, ( c_Equiv__Relations_Oequivp(_u11680, _u11682) | ( hAPP(_u11682, skolem280(_u11682)) != hAPP(_u11682, skolem281(_u11682))) | ~hBOOL(hAPP(hAPP(_u11682, skolem282(_u11682)), skolem283(_u11682))) )).
% 43.38/43.64 cnf(matrix-5662, plain, ( c_Equiv__Relations_Oequivp(_u11683, c_fequal) )).
% 43.38/43.64 cnf(matrix-5663, plain, ( ~hBOOL(hAPP(_u11684, _u11685)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11686, _u11686)), hAPP(hAPP(c_Product__Type_OPair(_u11686, _u11686), _u11687), _u11688)), hAPP(_u11689, _u11685))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_prod(_u11690, _u11686), tc_prod(_u11690, _u11686))), hAPP(hAPP(c_Product__Type_OPair(tc_prod(_u11690, _u11686), tc_prod(_u11690, _u11686)), hAPP(hAPP(c_Product__Type_OPair(_u11690, _u11686), _u11685), _u11687)), hAPP(hAPP(c_Product__Type_OPair(_u11690, _u11686), _u11685), _u11688))), c_Recdef_Osame__fst(_u11690, _u11686, _u11684, _u11689))) )).
% 43.38/43.64 cnf(matrix-5664, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11691, _u11692, _u11693, _u11694), hAPP(c_Product__Type_Oapfst(_u11695, _u11693, _u11691, _u11696), _u11697)) = hAPP(hAPP(c_Product__Type_OPair(_u11693, _u11692), hAPP(_u11696, hAPP(c_Product__Type_Ofst(_u11695, _u11691), _u11697))), hAPP(_u11694, hAPP(c_Product__Type_Osnd(_u11695, _u11691), _u11697)))) )).
% 43.38/43.64 cnf(matrix-5665, plain, ( ( hAPP(c_Product__Type_Oapfst(_u11698, _u11699, _u11700, _u11701), hAPP(c_Product__Type_Oapsnd(_u11702, _u11700, _u11698, _u11703), _u11704)) = hAPP(hAPP(c_Product__Type_OPair(_u11699, _u11700), hAPP(_u11701, hAPP(c_Product__Type_Ofst(_u11698, _u11702), _u11704))), hAPP(_u11703, hAPP(c_Product__Type_Osnd(_u11698, _u11702), _u11704)))) )).
% 43.38/43.64 cnf(matrix-5666, plain, ( ( hAPP(c_Product__Type_Oapfst(_u11705, _u11706, _u11707, _u11708), hAPP(hAPP(c_Product__Type_OPair(_u11705, _u11707), _u11709), _u11710)) = hAPP(hAPP(c_Product__Type_OPair(_u11706, _u11707), hAPP(_u11708, _u11709)), _u11710)) )).
% 43.38/43.64 cnf(matrix-5667, plain, ( ( hAPP(c_Product__Type_Ofst(_u11711, _u11712), hAPP(c_Product__Type_Oapfst(_u11713, _u11711, _u11712, _u11714), _u11715)) = hAPP(_u11714, hAPP(c_Product__Type_Ofst(_u11713, _u11712), _u11715))) )).
% 43.38/43.64 cnf(matrix-5668, plain, ( ( hAPP(c_Product__Type_Oapfst(_u11722, _u11724, _u11726, _u11728), _u11730) != hAPP(c_Product__Type_Oapfst(_u11722, _u11724, _u11726, _u11732), _u11730)) | ( hAPP(_u11728, hAPP(c_Product__Type_Ofst(_u11722, _u11726), _u11730)) = hAPP(_u11732, hAPP(c_Product__Type_Ofst(_u11722, _u11726), _u11730))) )).
% 43.38/43.64 cnf(matrix-5669, plain, ( ( hAPP(_u11729, hAPP(c_Product__Type_Ofst(_u11723, _u11727), _u11731)) != hAPP(_u11733, hAPP(c_Product__Type_Ofst(_u11723, _u11727), _u11731))) | ( hAPP(c_Product__Type_Oapfst(_u11723, _u11725, _u11727, _u11729), _u11731) = hAPP(c_Product__Type_Oapfst(_u11723, _u11725, _u11727, _u11733), _u11731)) )).
% 43.38/43.64 cnf(matrix-5670, plain, ( ( hAPP(c_Product__Type_Osnd(_u11734, _u11735), hAPP(c_Product__Type_Oapfst(_u11736, _u11734, _u11735, _u11737), _u11738)) = hAPP(c_Product__Type_Osnd(_u11736, _u11735), _u11738)) )).
% 43.38/43.64 cnf(matrix-5671, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u11739, _u11740, _u11741, _u11742), hAPP(c_Product__Type_Oapfst(_u11743, _u11741, _u11739, _u11744), _u11745)) = hAPP(c_Product__Type_Oapfst(_u11743, _u11741, _u11740, _u11744), hAPP(c_Product__Type_Oapsnd(_u11739, _u11740, _u11743, _u11742), _u11745))) )).
% 43.38/43.64 cnf(matrix-5672, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11746), _u11747)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11748), _u11749)) | 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), _u11746), _u11748)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11747), _u11749))), c_FunDef_Opair__less)) )).
% 43.38/43.64 cnf(matrix-5673, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11751), _u11752), hAPP(c_Relation_OImage(_u11753, _u11751, _u11754), _u11755))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11753, _u11751)), hAPP(hAPP(c_Product__Type_OPair(_u11753, _u11751), skolem284(_u11755, _u11754, _u11753, _u11752, _u11751)), _u11752)), _u11754)) )).
% 43.38/43.64 cnf(matrix-5674, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11751), _u11752), hAPP(c_Relation_OImage(_u11753, _u11751, _u11754), _u11755))) | hBOOL(hAPP(hAPP(c_member(_u11753), skolem284(_u11755, _u11754, _u11753, _u11752, _u11751)), _u11755)) )).
% 43.38/43.64 cnf(matrix-5675, plain, ( ( c_Wellfounded_Omlex__prod(_u11756, _u11757, _u11758) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, _u11756), _u11756), c_Wellfounded_Olex__prod(tc_Nat_Onat, _u11756, c_Wellfounded_Oless__than, _u11758)), hAPP(hAPP(c_COMBS(_u11756, _u11756, tc_prod(tc_Nat_Onat, _u11756)), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(_u11756, tc_prod(tc_Nat_Onat, _u11756)), _u11756), c_Product__Type_OPair(tc_Nat_Onat, _u11756)), _u11757)), c_COMBI(_u11756)))) )).
% 43.38/43.64 cnf(matrix-5676, plain, ( ( c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_Nat_Onat, c_Wellfounded_Oless__than, c_Wellfounded_Oless__than)) )).
% 43.38/43.64 cnf(matrix-5677, plain, ( ( c_Wellfounded_Omeasure(_u11759) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat, _u11759), c_Wellfounded_Oless__than)) )).
% 43.38/43.64 cnf(matrix-5678, 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), _u11762), _u11764)), c_Wellfounded_Oless__than)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11762), _u11764)) )).
% 43.38/43.64 cnf(matrix-5679, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11763), _u11765)) | 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), _u11763), _u11765)), c_Wellfounded_Oless__than)) )).
% 43.38/43.64 cnf(matrix-5680, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11766), _u11767)) | 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), _u11766), _u11768)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11767), _u11769))), c_FunDef_Opair__less)) )).
% 43.38/43.64 cnf(matrix-5681, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11770), _u11771)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u11772), _u11773)) | 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), _u11770), _u11772)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11771), _u11773))), c_FunDef_Opair__leq)) )).
% 43.38/43.64 cnf(matrix-5682, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11774), _u11775)) | ~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)), _u11774), _u11776)), 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)), _u11775), _u11777)), 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)), _u11775), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11776), _u11777))), c_FunDef_Omin__strict)) )).
% 43.38/43.64 cnf(matrix-5683, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11778), _u11779)) | ~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)), _u11780), _u11778)), 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)), _u11781), _u11779)), 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)), _u11780), _u11781)), _u11779)), c_FunDef_Omax__strict)) )).
% 43.38/43.64 cnf(matrix-5684, plain, ( ( _u11782 = 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)), _u11782), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__strict)) )).
% 43.38/43.64 cnf(matrix-5685, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11783)) | ( _u11783 = 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))), _u11783)), c_FunDef_Omax__strict)) )).
% 43.38/43.64 cnf(matrix-5686, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u11784), _u11785)) | 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), _u11784), _u11786)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11785), _u11787))), c_FunDef_Opair__leq)) )).
% 43.38/43.64 cnf(matrix-5687, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11788), _u11789)) | ~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)), _u11790), _u11788)), 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)), _u11791), _u11789)), 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)), _u11790), _u11791)), _u11789)), c_FunDef_Omax__weak)) )).
% 43.38/43.64 cnf(matrix-5688, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11792), _u11793)) | ~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)), _u11792), _u11794)), 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)), _u11793), _u11795)), 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)), _u11793), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11794), _u11795))), c_FunDef_Omin__weak)) )).
% 43.38/43.64 cnf(matrix-5689, plain, ( ( hAPP(c_Relation_OField(_u11796), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u11796, _u11796)), hAPP(hAPP(c_Product__Type_OPair(_u11796, _u11796), _u11797), _u11798)), _u11799)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11796, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u11796), _u11797), hAPP(hAPP(c_Set_Oinsert(_u11796), _u11798), c_Orderings_Obot__class_Obot(tc_fun(_u11796, tc_HOL_Obool))))), hAPP(c_Relation_OField(_u11796), _u11799))) )).
% 43.38/43.64 cnf(matrix-5690, plain, ( ( hAPP(c_Relation_OField(_u11800), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11800, _u11800), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u11800, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5691, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11801, _u11801), tc_HOL_Obool)), _u11802), _u11803)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u11801, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11801), _u11802)), hAPP(c_Relation_OField(_u11801), _u11803))) )).
% 43.38/43.64 cnf(matrix-5692, plain, ( ( hAPP(c_Relation_OField(_u11804), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11804, _u11804), tc_HOL_Obool)), _u11805), _u11806)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11804, tc_HOL_Obool)), hAPP(c_Relation_OField(_u11804), _u11805)), hAPP(c_Relation_OField(_u11804), _u11806))) )).
% 43.38/43.64 cnf(matrix-5693, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u11807, _u11807)), _u11808)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u11807), hAPP(c_Relation_OField(_u11807), _u11808))) )).
% 43.38/43.64 cnf(matrix-5694, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat, tc_Nat_Onat)), _u11809)) | 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))), _u11809)), c_FunDef_Omax__weak)) )).
% 43.38/43.64 cnf(matrix-5695, 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)), _u11810), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))), c_FunDef_Omin__weak)) )).
% 43.38/43.64 cnf(matrix-5696, 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))))) )).
% 43.38/43.64 cnf(matrix-5697, 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))))) )).
% 43.38/43.64 cnf(matrix-5698, plain, ( ( c_Relation_OId__on(_u11811, _u11812) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11811, tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool)), _u11812), hAPP(hAPP(c_COMBC(_u11811, tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool), tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_prod(_u11811, _u11811), tc_fun(tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool), tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool)), _u11811), c_Set_Oinsert(tc_prod(_u11811, _u11811))), hAPP(hAPP(c_COMBS(_u11811, _u11811, tc_prod(_u11811, _u11811)), c_Product__Type_OPair(_u11811, _u11811)), c_COMBI(_u11811)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11811, _u11811), tc_HOL_Obool))))) )).
% 43.38/43.64 cnf(matrix-5699, plain, ( ( c_Relation_OId__on(_u11813, _u11814) = hAPP(c_Product__Type_Oprod_Oprod__case(_u11813, _u11813, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u11813, tc_HOL_Obool, tc_fun(_u11813, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11813, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_HOL_Obool, tc_fun(_u11813, tc_HOL_Obool)), _u11813), c_COMBC(_u11813, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11813, tc_HOL_Obool), tc_fun(_u11813, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11813), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11813), c_fconj)), c_fequal))), _u11814))) )).
% 43.38/43.64 cnf(matrix-5700, plain, ( ( c_Relation_OId__on(_u11815, c_Orderings_Obot__class_Obot(tc_fun(_u11815, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11815, _u11815), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5701, plain, ( ( hAPP(c_Relation_OImage(_u11816, _u11816, c_Relation_OId__on(_u11816, _u11817)), _u11818) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u11816, tc_HOL_Obool)), _u11817), _u11818)) )).
% 43.38/43.64 cnf(matrix-5702, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11823, _u11823)), hAPP(hAPP(c_Product__Type_OPair(_u11823, _u11823), _u11825), _u11827)), c_Relation_OId__on(_u11823, _u11829))) | ( _u11825 = _u11827) )).
% 43.38/43.64 cnf(matrix-5703, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11823, _u11823)), hAPP(hAPP(c_Product__Type_OPair(_u11823, _u11823), _u11825), _u11827)), c_Relation_OId__on(_u11823, _u11829))) | hBOOL(hAPP(hAPP(c_member(_u11823), _u11825), _u11829)) )).
% 43.38/43.64 cnf(matrix-5704, plain, ( ( _u11826 != _u11828) | ~hBOOL(hAPP(hAPP(c_member(_u11824), _u11826), _u11830)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11824, _u11824)), hAPP(hAPP(c_Product__Type_OPair(_u11824, _u11824), _u11826), _u11828)), c_Relation_OId__on(_u11824, _u11830))) )).
% 43.38/43.64 cnf(matrix-5705, plain, ( ( _u11831 != _u11832) | ~hBOOL(hAPP(hAPP(c_member(_u11833), _u11831), _u11834)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11833, _u11833)), hAPP(hAPP(c_Product__Type_OPair(_u11833, _u11833), _u11831), _u11832)), c_Relation_OId__on(_u11833, _u11834))) )).
% 43.38/43.64 cnf(matrix-5706, plain, ( ( c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 43.38/43.64 cnf(matrix-5707, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool)), _u11836), _u11837)), c_Wellfounded_Omax__ext(_u11835, _u11838))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool)), _u11839), _u11840)), c_Wellfounded_Omax__ext(_u11835, _u11838))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11835, tc_HOL_Obool), tc_fun(_u11835, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11835, tc_HOL_Obool)), _u11836), _u11839)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u11835, tc_HOL_Obool)), _u11837), _u11840))), c_Wellfounded_Omax__ext(_u11835, _u11838))) )).
% 43.38/43.64 cnf(matrix-5708, plain, ( ( c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less)) )).
% 43.38/43.64 cnf(matrix-5709, plain, ( ~c_Wellfounded_Omax__extp(_u11845, hAPP(hAPP(c_COMBC(_u11845, tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_fun(_u11845, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11845, tc_fun(tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_fun(_u11845, tc_HOL_Obool)), _u11845), c_COMBC(_u11845, tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11845, tc_prod(_u11845, _u11845)), tc_fun(_u11845, tc_fun(tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_HOL_Obool)), _u11845), hAPP(c_COMBB(tc_prod(_u11845, _u11845), tc_fun(tc_fun(tc_prod(_u11845, _u11845), tc_HOL_Obool), tc_HOL_Obool), _u11845), c_member(tc_prod(_u11845, _u11845)))), c_Product__Type_OPair(_u11845, _u11845)))), _u11847), _u11849, _u11851) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11845, tc_HOL_Obool), tc_fun(_u11845, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11845, tc_HOL_Obool), tc_fun(_u11845, tc_HOL_Obool)), _u11849), _u11851)), c_Wellfounded_Omax__ext(_u11845, _u11847))) )).
% 43.38/43.64 cnf(matrix-5710, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u11846, tc_HOL_Obool), tc_fun(_u11846, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u11846, tc_HOL_Obool), tc_fun(_u11846, tc_HOL_Obool)), _u11850), _u11852)), c_Wellfounded_Omax__ext(_u11846, _u11848))) | c_Wellfounded_Omax__extp(_u11846, hAPP(hAPP(c_COMBC(_u11846, tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_fun(_u11846, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11846, tc_fun(tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_fun(_u11846, tc_HOL_Obool)), _u11846), c_COMBC(_u11846, tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11846, tc_prod(_u11846, _u11846)), tc_fun(_u11846, tc_fun(tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_HOL_Obool)), _u11846), hAPP(c_COMBB(tc_prod(_u11846, _u11846), tc_fun(tc_fun(tc_prod(_u11846, _u11846), tc_HOL_Obool), tc_HOL_Obool), _u11846), c_member(tc_prod(_u11846, _u11846)))), c_Product__Type_OPair(_u11846, _u11846)))), _u11848), _u11850, _u11852) )).
% 43.38/43.64 cnf(matrix-5711, 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)) )).
% 43.38/43.64 cnf(matrix-5712, 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)) )).
% 43.38/43.64 cnf(matrix-5713, plain, ( ~c_FunDef_Oreduction__pair(_u11853, _u11854) | c_FunDef_Oreduction__pair(_u11855, hAPP(hAPP(c_FunDef_Orp__inv__image(_u11853, _u11855), _u11854), _u11856)) )).
% 43.38/43.64 cnf(matrix-5714, 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)), _u11859), 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)), _u11861), 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)), _u11859), _u11861)), c_Int_Ointrel)) )).
% 43.38/43.64 cnf(matrix-5715, 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)), _u11860), _u11862)), 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)), _u11860), 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)), _u11862), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))) )).
% 43.38/43.64 cnf(matrix-5716, 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), _u11867), _u11869)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11871), _u11873))), c_Int_Ointrel)) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11867), _u11873) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11871), _u11869)) )).
% 43.38/43.64 cnf(matrix-5717, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11868), _u11874) != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11872), _u11870)) | 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), _u11868), _u11870)), hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat, tc_Nat_Onat), _u11872), _u11874))), c_Int_Ointrel)) )).
% 43.38/43.64 cnf(matrix-5718, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11876, _u11876)), _u11877), c_Relation_OId__on(_u11876, _u11878))) | hBOOL(hAPP(hAPP(c_member(_u11876), skolem285(_u11878, _u11877, _u11876)), _u11878)) )).
% 43.38/43.64 cnf(matrix-5719, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11876, _u11876)), _u11877), c_Relation_OId__on(_u11876, _u11878))) | ( _u11877 = hAPP(hAPP(c_Product__Type_OPair(_u11876, _u11876), skolem285(_u11878, _u11877, _u11876)), skolem285(_u11878, _u11877, _u11876))) )).
% 43.38/43.64 cnf(matrix-5720, 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) )).
% 43.38/43.64 cnf(matrix-5721, plain, ( ~class_Rings_Oring__1(_u11879) | ( hAPP(c_Int_Oring__1__class_Oof__int(_u11879), 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), _u11880), _u11881)), 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(_u11879), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11879), _u11880)), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u11879), _u11881))) )).
% 43.38/43.64 cnf(matrix-5722, 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)))))) )).
% 43.38/43.64 cnf(matrix-5723, 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), _u11882), _u11883)), 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), _u11884), _u11885)), 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), _u11882), _u11884)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11883), _u11885))), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11882), _u11885)), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u11883), _u11884)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 43.38/43.64 cnf(matrix-5724, plain, ( ( hAPP(c_Int_OAbs__Integ, hAPP(c_Int_ORep__Integ, _u11886)) = _u11886) )).
% 43.38/43.64 cnf(matrix-5725, 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), _u11887), _u11888)), 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), _u11888), _u11887)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 43.38/43.64 cnf(matrix-5726, 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)))))) )).
% 43.38/43.64 cnf(matrix-5727, plain, ( ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint), _u11889) = 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), _u11889), 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)))))) )).
% 43.38/43.64 cnf(matrix-5728, 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), _u11890), _u11891)), 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), _u11892), _u11893)), 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), _u11890), _u11892)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11891), _u11893))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 43.38/43.64 cnf(matrix-5729, 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), _u11894), _u11895)), 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), _u11894), _u11895)) )).
% 43.38/43.64 cnf(matrix-5730, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u11896) = 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, _u11896)), 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)))))))) )).
% 43.38/43.64 cnf(matrix-5731, 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), _u11901), _u11903)), 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), _u11905), _u11907)), 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), _u11901), _u11907)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11905), _u11903))) )).
% 43.38/43.64 cnf(matrix-5732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11902), _u11908)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11906), _u11904))) | 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), _u11902), _u11904)), 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), _u11906), _u11908)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 43.38/43.64 cnf(matrix-5733, 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), _u11913), _u11915)), 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), _u11917), _u11919)), 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), _u11913), _u11919)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11917), _u11915))) )).
% 43.38/43.64 cnf(matrix-5734, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11914), _u11920)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u11918), _u11916))) | 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), _u11914), _u11916)), 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), _u11918), _u11920)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool))))))) )).
% 43.38/43.64 cnf(matrix-5735, plain, ( ( _u11923 = 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), skolem286(_u11923)), skolem287(_u11923))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)))))) )).
% 43.38/43.64 cnf(matrix-5736, 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)) )).
% 43.38/43.64 cnf(matrix-5737, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u11924, _u11925, _u11926, c_Code__Numeral_OSuc__code__numeral(_u11927)) = hAPP(_u11926, _u11927)) )).
% 43.38/43.64 cnf(matrix-5738, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), hAPP(c_Int_ORep__Integ, _u11928)), c_Int_OInteg)) )).
% 43.38/43.64 cnf(matrix-5739, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__case(_u11929, _u11930, _u11931, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u11930) )).
% 43.38/43.64 cnf(matrix-5740, 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) )).
% 43.38/43.64 cnf(matrix-5741, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u11935, hAPP(hAPP(c_COMBC(_u11935, tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_fun(_u11935, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11935, tc_fun(tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_fun(_u11935, tc_HOL_Obool)), _u11935), c_COMBC(_u11935, tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11935, tc_prod(_u11935, _u11935)), tc_fun(_u11935, tc_fun(tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_HOL_Obool)), _u11935), hAPP(c_COMBB(tc_prod(_u11935, _u11935), tc_fun(tc_fun(tc_prod(_u11935, _u11935), tc_HOL_Obool), tc_HOL_Obool), _u11935), c_member(tc_prod(_u11935, _u11935)))), c_Product__Type_OPair(_u11935, _u11935)))), _u11937)), _u11939)) | hBOOL(hAPP(hAPP(c_member(_u11935), _u11939), c_Wellfounded_Oacc(_u11935, _u11937))) )).
% 43.38/43.64 cnf(matrix-5742, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u11936), _u11940), c_Wellfounded_Oacc(_u11936, _u11938))) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u11936, hAPP(hAPP(c_COMBC(_u11936, tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_fun(_u11936, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11936, tc_fun(tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_fun(_u11936, tc_HOL_Obool)), _u11936), c_COMBC(_u11936, tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11936, tc_prod(_u11936, _u11936)), tc_fun(_u11936, tc_fun(tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_HOL_Obool)), _u11936), hAPP(c_COMBB(tc_prod(_u11936, _u11936), tc_fun(tc_fun(tc_prod(_u11936, _u11936), tc_HOL_Obool), tc_HOL_Obool), _u11936), c_member(tc_prod(_u11936, _u11936)))), c_Product__Type_OPair(_u11936, _u11936)))), _u11938)), _u11940)) )).
% 43.38/43.64 cnf(matrix-5743, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11941, _u11942, _u11943), _u11944), _u11945) = hAPP(c_Set_OCollect(tc_prod(_u11941, _u11943)), hAPP(c_Product__Type_Oprod_Oprod__case(_u11941, _u11943, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool)), tc_fun(_u11943, tc_HOL_Obool), _u11941), hAPP(c_COMBB(tc_fun(_u11942, tc_HOL_Obool), tc_HOL_Obool, _u11943), c_HOL_OEx(_u11942))), hAPP(hAPP(c_COMBC(_u11941, tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool)), tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u11942, tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), tc_fun(tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool)), tc_fun(_u11943, tc_fun(_u11942, tc_HOL_Obool))), _u11941), c_COMBB(tc_fun(_u11942, tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool), _u11943)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u11942, tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), _u11941), c_COMBS(_u11942, tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_HOL_Obool), tc_fun(_u11942, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u11941), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u11942), c_fconj)), hAPP(hAPP(c_COMBC(_u11941, tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_fun(tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), _u11941), c_COMBC(_u11942, tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_prod(_u11941, _u11942)), tc_fun(_u11942, tc_fun(tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_HOL_Obool)), _u11941), hAPP(c_COMBB(tc_prod(_u11941, _u11942), tc_fun(tc_fun(tc_prod(_u11941, _u11942), tc_HOL_Obool), tc_HOL_Obool), _u11942), c_member(tc_prod(_u11941, _u11942)))), c_Product__Type_OPair(_u11941, _u11942)))), _u11944))))), hAPP(hAPP(c_COMBC(_u11943, tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_fun(tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_fun(_u11942, tc_HOL_Obool)), _u11943), c_COMBC(_u11942, tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u11942, tc_prod(_u11942, _u11943)), tc_fun(_u11942, tc_fun(tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_HOL_Obool)), _u11943), hAPP(c_COMBB(tc_prod(_u11942, _u11943), tc_fun(tc_fun(tc_prod(_u11942, _u11943), tc_HOL_Obool), tc_HOL_Obool), _u11942), c_member(tc_prod(_u11942, _u11943)))), hAPP(c_COMBC(_u11942, _u11943, tc_prod(_u11942, _u11943)), c_Product__Type_OPair(_u11942, _u11943))))), _u11945)))))) )).
% 43.38/43.64 cnf(matrix-5744, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11946, _u11947)), hAPP(hAPP(c_Product__Type_OPair(_u11946, _u11947), _u11948), _u11949)), _u11950)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u11947, _u11951)), hAPP(hAPP(c_Product__Type_OPair(_u11947, _u11951), _u11949), _u11952)), _u11953)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u11946, _u11951)), hAPP(hAPP(c_Product__Type_OPair(_u11946, _u11951), _u11948), _u11952)), hAPP(hAPP(c_Relation_Orel__comp(_u11946, _u11947, _u11951), _u11950), _u11953))) )).
% 43.38/43.64 cnf(matrix-5745, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11954, _u11955, _u11956), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11957, tc_fun(tc_prod(_u11954, _u11955), tc_HOL_Obool)), _u11958), _u11959)), _u11960) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11957, tc_fun(tc_prod(_u11954, _u11956), tc_HOL_Obool)), _u11958), hAPP(hAPP(c_COMBC(_u11957, tc_fun(tc_prod(_u11955, _u11956), tc_HOL_Obool), tc_fun(tc_prod(_u11954, _u11956), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11954, _u11955), tc_HOL_Obool), tc_fun(tc_fun(tc_prod(_u11955, _u11956), tc_HOL_Obool), tc_fun(tc_prod(_u11954, _u11956), tc_HOL_Obool)), _u11957), c_Relation_Orel__comp(_u11954, _u11955, _u11956)), _u11959)), _u11960))) )).
% 43.38/43.64 cnf(matrix-5746, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11961, _u11962, _u11963), _u11964), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11965, tc_fun(tc_prod(_u11962, _u11963), tc_HOL_Obool)), _u11966), _u11967)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u11965, tc_fun(tc_prod(_u11961, _u11963), tc_HOL_Obool)), _u11966), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u11962, _u11963), tc_HOL_Obool), tc_fun(tc_prod(_u11961, _u11963), tc_HOL_Obool), _u11965), hAPP(c_Relation_Orel__comp(_u11961, _u11962, _u11963), _u11964)), _u11967))) )).
% 43.38/43.64 cnf(matrix-5747, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11968, _u11969, _u11970), _u11971), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11969, _u11970), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11968, _u11970), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5748, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11972, _u11973, _u11974), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11972, _u11973), tc_HOL_Obool))), _u11975) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u11972, _u11974), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5749, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11976, _u11977, _u11978), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11976, _u11977), tc_HOL_Obool)), _u11979), _u11980)), _u11981) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11976, _u11978), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u11976, _u11977, _u11978), _u11979), _u11981)), hAPP(hAPP(c_Relation_Orel__comp(_u11976, _u11977, _u11978), _u11980), _u11981))) )).
% 43.38/43.64 cnf(matrix-5750, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11982, _u11983, _u11984), _u11985), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11983, _u11984), tc_HOL_Obool)), _u11986), _u11987)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u11982, _u11984), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u11982, _u11983, _u11984), _u11985), _u11986)), hAPP(hAPP(c_Relation_Orel__comp(_u11982, _u11983, _u11984), _u11985), _u11987))) )).
% 43.38/43.64 cnf(matrix-5751, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u11988, _u11989, _u11990), hAPP(hAPP(c_Relation_Orel__comp(_u11988, _u11991, _u11989), _u11992), _u11993)), _u11994) = hAPP(hAPP(c_Relation_Orel__comp(_u11988, _u11991, _u11990), _u11992), hAPP(hAPP(c_Relation_Orel__comp(_u11991, _u11989, _u11990), _u11993), _u11994))) )).
% 43.38/43.64 cnf(matrix-5752, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11995, _u11996), tc_HOL_Obool)), _u11997), _u11998)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11996, _u11999), tc_HOL_Obool)), _u12000), _u12001)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u11995, _u11999), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u11995, _u11996, _u11999), _u11997), _u12000)), hAPP(hAPP(c_Relation_Orel__comp(_u11995, _u11996, _u11999), _u11998), _u12001))) )).
% 43.38/43.64 cnf(matrix-5753, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12002, _u12002, _u12002), _u12003), _u12004) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12002, _u12002), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12002, _u12002, _u12002), _u12005), _u12004) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12002, _u12002), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12002, _u12002, _u12002), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12002, _u12002), tc_HOL_Obool)), _u12003), _u12005)), _u12004) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12002, _u12002), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5754, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12006, _u12006, _u12006), _u12007), _u12008) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12006, _u12006), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12006, _u12006, _u12006), _u12007), _u12009) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12006, _u12006), tc_HOL_Obool))) | ( hAPP(hAPP(c_Relation_Orel__comp(_u12006, _u12006, _u12006), _u12007), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12006, _u12006), tc_HOL_Obool)), _u12008), _u12009)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12006, _u12006), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12010, _u12010), tc_HOL_Obool)), _u12011), _u12012)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12010, tc_HOL_Obool)), c_Wellfounded_Oacc(_u12010, _u12012)), c_Wellfounded_Oacc(_u12010, _u12011))) )).
% 43.38/43.64 cnf(matrix-5756, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12013), _u12014), c_Wellfounded_Oacc(_u12013, _u12015))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12013, _u12013)), hAPP(hAPP(c_Product__Type_OPair(_u12013, _u12013), _u12016), _u12014)), _u12015)) | hBOOL(hAPP(hAPP(c_member(_u12013), _u12016), c_Wellfounded_Oacc(_u12013, _u12015))) )).
% 43.38/43.64 cnf(matrix-5757, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12022), _u12024), c_Wellfounded_Oacc(_u12022, _u12026))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12022, _u12022)), hAPP(hAPP(c_Product__Type_OPair(_u12022, _u12022), _u12017), _u12024)), _u12026)) | hBOOL(hAPP(hAPP(c_member(_u12022), _u12017), c_Wellfounded_Oacc(_u12022, _u12026))) )).
% 43.38/43.64 cnf(matrix-5758, plain, ( hBOOL(hAPP(hAPP(c_member(_u12023), _u12025), c_Wellfounded_Oacc(_u12023, _u12027))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12023, _u12023)), hAPP(hAPP(c_Product__Type_OPair(_u12023, _u12023), skolem288(_u12027, _u12025, _u12023)), _u12025)), _u12027)) )).
% 43.38/43.64 cnf(matrix-5759, plain, ( hBOOL(hAPP(hAPP(c_member(_u12023), _u12025), c_Wellfounded_Oacc(_u12023, _u12027))) | ~hBOOL(hAPP(hAPP(c_member(_u12023), skolem288(_u12027, _u12025, _u12023)), c_Wellfounded_Oacc(_u12023, _u12027))) )).
% 43.38/43.64 cnf(matrix-5760, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12028, _u12028), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12028, _u12028, _u12028), _u12029), _u12030)), _u12029)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12028, _u12029)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omax__ext(_u12028, _u12030)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12028, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12028, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12028, tc_HOL_Obool), tc_fun(_u12028, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omax__ext(_u12028, _u12029))) )).
% 43.38/43.64 cnf(matrix-5761, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12031, _u12031), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12031, _u12031, _u12031), _u12032), _u12033)), _u12032)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12031, _u12032)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), tc_HOL_Obool)), c_Wellfounded_Omin__ext(_u12031, _u12033)), hAPP(hAPP(c_Set_Oinsert(tc_prod(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u12031, tc_HOL_Obool))), c_Orderings_Obot__class_Obot(tc_fun(_u12031, tc_HOL_Obool)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_fun(_u12031, tc_HOL_Obool), tc_fun(_u12031, tc_HOL_Obool)), tc_HOL_Obool)))))), c_Wellfounded_Omin__ext(_u12031, _u12032))) )).
% 43.38/43.64 cnf(matrix-5762, plain, ( ~c_Typedef_Otype__definition(_u12034, _u12035, _u12036, _u12037, _u12038) | ( hAPP(c_Set_Oimage(_u12034, _u12035, _u12036), c_Orderings_Otop__class_Otop(tc_fun(_u12034, tc_HOL_Obool))) = _u12038) )).
% 43.38/43.64 cnf(matrix-5763, plain, ( ~c_Typedef_Otype__definition(_u12039, _u12040, _u12041, _u12042, _u12043) | ( hAPP(c_Set_Oimage(_u12040, _u12039, _u12042), _u12043) = c_Orderings_Otop__class_Otop(tc_fun(_u12039, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5764, plain, ( ~c_Typedef_Otype__definition(_u12044, _u12045, _u12046, _u12047, _u12048) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12049), _u12048)) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12050), _u12048)) | ( hAPP(_u12047, _u12049) != hAPP(_u12047, _u12050)) | ( _u12049 = _u12050) )).
% 43.38/43.64 cnf(matrix-5765, plain, ( ~c_Typedef_Otype__definition(_u12044, _u12045, _u12046, _u12047, _u12048) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12049), _u12048)) | ~hBOOL(hAPP(hAPP(c_member(_u12045), _u12050), _u12048)) | ( _u12049 != _u12050) | ( hAPP(_u12047, _u12049) = hAPP(_u12047, _u12050)) )).
% 43.38/43.64 cnf(matrix-5766, plain, ( ~c_Typedef_Otype__definition(_u12051, _u12052, _u12053, _u12054, _u12055) | ( hAPP(_u12053, _u12056) != hAPP(_u12053, _u12057)) | ( _u12056 = _u12057) )).
% 43.38/43.64 cnf(matrix-5767, plain, ( ~c_Typedef_Otype__definition(_u12051, _u12052, _u12053, _u12054, _u12055) | ( _u12056 != _u12057) | ( hAPP(_u12053, _u12056) = hAPP(_u12053, _u12057)) )).
% 43.38/43.64 cnf(matrix-5768, plain, ( ( hAPP(_u12061, hAPP(_u12060, _u12063)) = _u12063) | ~c_Typedef_Otype__definition(_u12058, _u12059, _u12060, _u12061, _u12062) )).
% 43.38/43.64 cnf(matrix-5769, plain, ( hBOOL(hAPP(hAPP(c_member(_u12065), hAPP(_u12066, _u12069)), _u12068)) | ~c_Typedef_Otype__definition(_u12064, _u12065, _u12066, _u12067, _u12068) )).
% 43.38/43.64 cnf(matrix-5770, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12071), _u12075), _u12074)) | ( hAPP(_u12072, hAPP(_u12073, _u12075)) = _u12075) | ~c_Typedef_Otype__definition(_u12070, _u12071, _u12072, _u12073, _u12074) )).
% 43.38/43.64 cnf(matrix-5771, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12083, _u12085, _u12087, hAPP(hAPP(c_COMBC(_u12083, tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_fun(_u12085, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12085, tc_fun(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_fun(_u12085, tc_HOL_Obool)), _u12083), c_COMBC(_u12085, tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12085, tc_prod(_u12083, _u12085)), tc_fun(_u12085, tc_fun(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_HOL_Obool)), _u12083), hAPP(c_COMBB(tc_prod(_u12083, _u12085), tc_fun(tc_fun(tc_prod(_u12083, _u12085), tc_HOL_Obool), tc_HOL_Obool), _u12085), c_member(tc_prod(_u12083, _u12085)))), c_Product__Type_OPair(_u12083, _u12085)))), _u12089), hAPP(hAPP(c_COMBC(_u12085, tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_fun(_u12087, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12087, tc_fun(tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_fun(_u12087, tc_HOL_Obool)), _u12085), c_COMBC(_u12087, tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12087, tc_prod(_u12085, _u12087)), tc_fun(_u12087, tc_fun(tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_HOL_Obool)), _u12085), hAPP(c_COMBB(tc_prod(_u12085, _u12087), tc_fun(tc_fun(tc_prod(_u12085, _u12087), tc_HOL_Obool), tc_HOL_Obool), _u12087), c_member(tc_prod(_u12085, _u12087)))), c_Product__Type_OPair(_u12085, _u12087)))), _u12091)), _u12093), _u12095)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12083, _u12087)), hAPP(hAPP(c_Product__Type_OPair(_u12083, _u12087), _u12093), _u12095)), hAPP(hAPP(c_Relation_Orel__comp(_u12083, _u12085, _u12087), _u12089), _u12091))) )).
% 43.38/43.64 cnf(matrix-5772, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12084, _u12088)), hAPP(hAPP(c_Product__Type_OPair(_u12084, _u12088), _u12094), _u12096)), hAPP(hAPP(c_Relation_Orel__comp(_u12084, _u12086, _u12088), _u12090), _u12092))) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12084, _u12086, _u12088, hAPP(hAPP(c_COMBC(_u12084, tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_fun(_u12086, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12086, tc_fun(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_fun(_u12086, tc_HOL_Obool)), _u12084), c_COMBC(_u12086, tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12086, tc_prod(_u12084, _u12086)), tc_fun(_u12086, tc_fun(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_HOL_Obool)), _u12084), hAPP(c_COMBB(tc_prod(_u12084, _u12086), tc_fun(tc_fun(tc_prod(_u12084, _u12086), tc_HOL_Obool), tc_HOL_Obool), _u12086), c_member(tc_prod(_u12084, _u12086)))), c_Product__Type_OPair(_u12084, _u12086)))), _u12090), hAPP(hAPP(c_COMBC(_u12086, tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_fun(_u12088, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12088, tc_fun(tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_fun(_u12088, tc_HOL_Obool)), _u12086), c_COMBC(_u12088, tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12088, tc_prod(_u12086, _u12088)), tc_fun(_u12088, tc_fun(tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_HOL_Obool)), _u12086), hAPP(c_COMBB(tc_prod(_u12086, _u12088), tc_fun(tc_fun(tc_prod(_u12086, _u12088), tc_HOL_Obool), tc_HOL_Obool), _u12088), c_member(tc_prod(_u12086, _u12088)))), c_Product__Type_OPair(_u12086, _u12088)))), _u12092)), _u12094), _u12096)) )).
% 43.38/43.64 cnf(matrix-5773, plain, ( ~c_Wellfounded_Owf(_u12097, _u12098) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12097, _u12097), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12097, _u12097, _u12097), _u12098), _u12099)), _u12098)) | c_FunDef_Oreduction__pair(_u12097, hAPP(hAPP(c_Product__Type_OPair(tc_fun(tc_prod(_u12097, _u12097), tc_HOL_Obool), tc_fun(tc_prod(_u12097, _u12097), tc_HOL_Obool)), _u12098), _u12099)) )).
% 43.38/43.64 cnf(matrix-5774, plain, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12108), _u12112)) )).
% 43.38/43.64 cnf(matrix-5775, plain, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12108), _u12114)) )).
% 43.38/43.64 cnf(matrix-5776, plain, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | ( _u12114 != c_Orderings_Obot__class_Obot(tc_fun(_u12108, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5777, plain, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | ~hBOOL(hAPP(hAPP(c_member(_u12108), _u12101), _u12112)) | hBOOL(hAPP(hAPP(c_member(_u12108), skolem289(_u12114, _u12112, _u12110, _u12108, _u12101)), _u12114)) )).
% 43.38/43.64 cnf(matrix-5778, plain, ( ~c_Wellfounded_Omax__extp(_u12108, _u12110, _u12112, _u12114) | ~hBOOL(hAPP(hAPP(c_member(_u12108), _u12101), _u12112)) | hBOOL(hAPP(hAPP(_u12110, _u12101), skolem289(_u12114, _u12112, _u12110, _u12108, _u12101))) )).
% 43.38/43.64 cnf(matrix-5779, plain, ( c_Wellfounded_Omax__extp(_u12109, _u12111, _u12113, _u12115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12109), _u12113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12109), _u12115)) | ( _u12115 = c_Orderings_Obot__class_Obot(tc_fun(_u12109, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u12109), skolem290(_u12115, _u12113, _u12111, _u12109)), _u12113)) )).
% 43.38/43.64 cnf(matrix-5780, plain, ( c_Wellfounded_Omax__extp(_u12109, _u12111, _u12113, _u12115) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12109), _u12113)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12109), _u12115)) | ( _u12115 = c_Orderings_Obot__class_Obot(tc_fun(_u12109, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u12109), _u12102), _u12115)) | ~hBOOL(hAPP(hAPP(_u12111, skolem290(_u12115, _u12113, _u12111, _u12109)), _u12102)) )).
% 43.38/43.64 cnf(matrix-5781, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 43.38/43.64 cnf(matrix-5782, plain, ( ~hBOOL(hAPP(hAPP(_u12116, _u12117), _u12118)) | ~hBOOL(hAPP(hAPP(_u12119, _u12118), _u12120)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12121, _u12122, _u12123, _u12116, _u12119), _u12117), _u12120)) )).
% 43.38/43.64 cnf(matrix-5783, plain, ( c_Wellfounded_Owf(_u12124, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12124, _u12124), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5784, plain, ( ~c_Wellfounded_Owf(_u12125, _u12126) | c_Wellfounded_Owf(_u12127, hAPP(hAPP(c_Relation_Oinv__image(_u12125, _u12127), _u12126), _u12128)) )).
% 43.38/43.64 cnf(matrix-5785, plain, ( ~c_Wellfounded_Owf(_u12129, _u12130) | ~c_Wellfounded_Owf(_u12131, _u12132) | c_Wellfounded_Owf(tc_prod(_u12129, _u12131), c_Wellfounded_Olex__prod(_u12129, _u12131, _u12130, _u12132)) )).
% 43.38/43.64 cnf(matrix-5786, plain, ( c_Wellfounded_Owf(_u12133, hAPP(c_Wellfounded_Omeasure(_u12133), _u12134)) )).
% 43.38/43.64 cnf(matrix-5787, plain, ( ~c_Wellfounded_Owf(_u12137, _u12139) | c_Wellfounded_Owf(_u12137, hAPP(hAPP(c_Relation_Orel__comp(_u12137, _u12137, _u12137), _u12139), _u12139)) )).
% 43.38/43.64 cnf(matrix-5788, plain, ( ~c_Wellfounded_Owf(_u12138, hAPP(hAPP(c_Relation_Orel__comp(_u12138, _u12138, _u12138), _u12140), _u12140)) | c_Wellfounded_Owf(_u12138, _u12140) )).
% 43.38/43.64 cnf(matrix-5789, plain, ( ~c_Wellfounded_Owf(_u12141, _u12142) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12141, _u12141), tc_HOL_Obool)), _u12143), _u12142)) | c_Wellfounded_Owf(_u12141, _u12143) )).
% 43.38/43.64 cnf(matrix-5790, plain, ( ~c_Wellfounded_Owf(_u12144, _u12145) | c_Wellfounded_Owf(tc_fun(_u12144, tc_HOL_Obool), c_Wellfounded_Omin__ext(_u12144, _u12145)) )).
% 43.38/43.64 cnf(matrix-5791, 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)))) )).
% 43.38/43.64 cnf(matrix-5792, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12155, _u12157, _u12159, _u12161, _u12163), _u12165), _u12167)) | hBOOL(hAPP(hAPP(_u12161, _u12165), skolem291(_u12167, _u12165, _u12163, _u12161))) )).
% 43.38/43.64 cnf(matrix-5793, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12155, _u12157, _u12159, _u12161, _u12163), _u12165), _u12167)) | hBOOL(hAPP(hAPP(_u12163, skolem291(_u12167, _u12165, _u12163, _u12161)), _u12167)) )).
% 43.38/43.64 cnf(matrix-5794, plain, ( ~hBOOL(hAPP(hAPP(_u12162, _u12166), _u12147)) | ~hBOOL(hAPP(hAPP(_u12164, _u12147), _u12168)) | hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(_u12156, _u12158, _u12160, _u12162, _u12164), _u12166), _u12168)) )).
% 43.38/43.64 cnf(matrix-5795, plain, ( ~c_Wellfounded_Owf(_u12169, _u12170) | c_Wellfounded_Owf(_u12169, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12169, _u12169), tc_HOL_Obool)), _u12170), _u12171)) )).
% 43.38/43.64 cnf(matrix-5796, plain, ( ~c_Wellfounded_Owf(_u12172, _u12173) | c_Wellfounded_Owf(_u12172, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12172, _u12172), tc_HOL_Obool)), _u12174), _u12173)) )).
% 43.38/43.64 cnf(matrix-5797, plain, ( c_Wellfounded_Owf(tc_fun(_u12175, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u12175)) )).
% 43.38/43.64 cnf(matrix-5798, plain, ( ~c_Wellfounded_Owf(_u12176, _u12177) | c_Wellfounded_Owf(_u12176, c_Wellfounded_Omlex__prod(_u12176, _u12178, _u12177)) )).
% 43.38/43.64 cnf(matrix-5799, plain, ( c_Wellfounded_Owf(tc_prod(tc_Nat_Onat, tc_Nat_Onat), c_FunDef_Opair__less) )).
% 43.38/43.64 cnf(matrix-5800, plain, ( ~c_Wellfounded_Owf(_u12179, _u12180) | c_Wellfounded_Owf(tc_fun(_u12179, tc_HOL_Obool), c_Wellfounded_Omax__ext(_u12179, _u12180)) )).
% 43.38/43.64 cnf(matrix-5801, plain, ( ~c_Wellfounded_Owf(_u12181, _u12182) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12181, _u12181)), hAPP(hAPP(c_Product__Type_OPair(_u12181, _u12181), _u12183), _u12183)), _u12182)) )).
% 43.38/43.64 cnf(matrix-5802, plain, ( ~c_Wellfounded_Owf(_u12184, _u12185) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12184, _u12184)), hAPP(hAPP(c_Product__Type_OPair(_u12184, _u12184), _u12186), _u12187)), _u12185)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12184, _u12184)), hAPP(hAPP(c_Product__Type_OPair(_u12184, _u12184), _u12187), _u12186)), _u12185)) )).
% 43.38/43.64 cnf(matrix-5803, plain, ( ~c_Wellfounded_Owf(_u12188, _u12189) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12188, _u12188)), hAPP(hAPP(c_Product__Type_OPair(_u12188, _u12188), _u12190), _u12191)), _u12189)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12188, _u12188)), hAPP(hAPP(c_Product__Type_OPair(_u12188, _u12188), _u12191), _u12190)), _u12189)) )).
% 43.38/43.64 cnf(matrix-5804, plain, ( ~c_Wellfounded_Owf(_u12192, _u12193) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12192, _u12192)), hAPP(hAPP(c_Product__Type_OPair(_u12192, _u12192), _u12194), _u12194)), _u12193)) )).
% 43.38/43.64 cnf(matrix-5805, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than2(_u12195)) )).
% 43.38/43.64 cnf(matrix-5806, plain, ( c_Wellfounded_Owf(tc_Int_Oint, c_Int_Oint__ge__less__than(_u12196)) )).
% 43.38/43.64 cnf(matrix-5807, plain, ( ~c_Wellfounded_Owf(_u12201, _u12203) | hBOOL(hAPP(hAPP(c_member(_u12201), _u12197), c_Wellfounded_Oacc(_u12201, _u12203))) )).
% 43.38/43.64 cnf(matrix-5808, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12202), skolem292(_u12204, _u12202)), c_Wellfounded_Oacc(_u12202, _u12204))) | c_Wellfounded_Owf(_u12202, _u12204) )).
% 43.38/43.64 cnf(matrix-5809, plain, ( ~c_Wellfounded_Owf(_u12205, _u12206) | hBOOL(hAPP(hAPP(c_member(_u12205), _u12207), c_Wellfounded_Oacc(_u12205, _u12206))) )).
% 43.38/43.64 cnf(matrix-5810, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u12208, _u12208, _u12208), _u12209), _u12209) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12208, _u12208), tc_HOL_Obool))) | c_Wellfounded_Owf(_u12208, _u12209) )).
% 43.38/43.64 cnf(matrix-5811, plain, ( ~c_Wellfounded_Owf(_u12213, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12213, _u12213), tc_HOL_Obool)), _u12215), _u12217)) | c_Wellfounded_Owf(_u12213, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12213, _u12213), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12213, _u12213), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12213, _u12213, _u12213), _u12215), _u12215)), hAPP(hAPP(c_Relation_Orel__comp(_u12213, _u12213, _u12213), _u12217), _u12215))), _u12217)) )).
% 43.38/43.64 cnf(matrix-5812, plain, ( ~c_Wellfounded_Owf(_u12214, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12214, _u12214), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12214, _u12214), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12214, _u12214, _u12214), _u12216), _u12216)), hAPP(hAPP(c_Relation_Orel__comp(_u12214, _u12214, _u12214), _u12218), _u12216))), _u12218)) | c_Wellfounded_Owf(_u12214, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12214, _u12214), tc_HOL_Obool)), _u12216), _u12218)) )).
% 43.38/43.64 cnf(matrix-5813, plain, ( ~c_Wellfounded_Owf(_u12225, _u12227) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12225, _u12225)), hAPP(hAPP(c_Product__Type_OPair(_u12225, _u12225), hAPP(_u12220, hAPP(c_Nat_OSuc, skolem293(_u12227, _u12225, _u12220)))), hAPP(_u12220, skolem293(_u12227, _u12225, _u12220)))), _u12227)) )).
% 43.38/43.64 cnf(matrix-5814, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u12226, _u12226)), hAPP(hAPP(c_Product__Type_OPair(_u12226, _u12226), hAPP(skolem294(_u12228, _u12226), hAPP(c_Nat_OSuc, _u12221))), hAPP(skolem294(_u12228, _u12226), _u12221))), _u12228)) | c_Wellfounded_Owf(_u12226, _u12228) )).
% 43.38/43.64 cnf(matrix-5815, plain, ( ~c_Wellfounded_Owf(_u12229, _u12230) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12229, tc_HOL_Obool)), _u12231), hAPP(c_Relation_OImage(_u12229, _u12229, _u12230), _u12231))) | ( _u12231 = c_Orderings_Obot__class_Obot(tc_fun(_u12229, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5816, plain, ( ~c_Wellfounded_Owf(_u12232, _u12233) | ~c_Wellfounded_Owf(_u12232, _u12234) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12232, _u12232), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12232, _u12232, _u12232), _u12233), _u12234)), _u12233)) | c_Wellfounded_Owf(_u12232, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12232, _u12232), tc_HOL_Obool)), _u12233), _u12234)) )).
% 43.38/43.64 cnf(matrix-5817, plain, ( ~class_Orderings_Owellorder(_u12235) | c_Wellfounded_Owf(_u12235, hAPP(c_Set_OCollect(tc_prod(_u12235, _u12235)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12235, _u12235, tc_HOL_Obool), c_Orderings_Oord__class_Oless(_u12235)))) )).
% 43.38/43.64 cnf(matrix-5818, plain, ( ~c_FunDef_Oreduction__pair(_u12238, _u12240) | c_Wellfounded_Owf(_u12238, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool), tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240)) )).
% 43.38/43.64 cnf(matrix-5819, plain, ( ~c_FunDef_Oreduction__pair(_u12238, _u12240) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12238, _u12238, _u12238), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool), tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool), tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool), tc_fun(tc_prod(_u12238, _u12238), tc_HOL_Obool)), _u12240))) )).
% 43.38/43.64 cnf(matrix-5820, plain, ( ~c_Wellfounded_Owf(_u12239, hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool), tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), _u12241)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12239, _u12239, _u12239), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool), tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), _u12241)), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool), tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), _u12241))), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool), tc_fun(tc_prod(_u12239, _u12239), tc_HOL_Obool)), _u12241))) | c_FunDef_Oreduction__pair(_u12239, _u12241) )).
% 43.38/43.64 cnf(matrix-5821, plain, ( ~c_FunDef_Oreduction__pair(_u12242, _u12243) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12244), hAPP(c_Product__Type_Ofst(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool), tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12243))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12245), hAPP(c_Product__Type_Osnd(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool), tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12243))) | ~c_Wellfounded_Owf(_u12242, _u12245) | c_Wellfounded_Owf(_u12242, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12242, _u12242), tc_HOL_Obool)), _u12244), _u12245)) )).
% 43.38/43.64 cnf(matrix-5822, plain, ( ~c_Wellfounded_Owf(_u12246, _u12247) | c_Wellfounded_Owf(tc_List_Olist(_u12246), c_List_Olenlex(_u12246, _u12247)) )).
% 43.38/43.64 cnf(matrix-5823, plain, ( c_Wellfounded_Owf(_u12252, hAPP(c_Set_OCollect(tc_prod(_u12252, _u12252)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12252, _u12252, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12252, tc_HOL_Obool), tc_fun(_u12252, tc_HOL_Obool), _u12252), hAPP(c_COMBS(_u12252, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12252), c_fconj), _u12249))), hAPP(hAPP(c_COMBC(_u12252, tc_fun(_u12252, _u12252), tc_fun(_u12252, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12252, tc_HOL_Obool), tc_fun(tc_fun(_u12252, _u12252), tc_fun(_u12252, tc_HOL_Obool)), _u12252), c_COMBB(_u12252, tc_HOL_Obool, _u12252)), c_fequal)), _u12251))))) | hBOOL(hAPP(_u12249, skolem295(_u12252, _u12251, _u12250, _u12249))) )).
% 43.38/43.64 cnf(matrix-5824, plain, ( c_Wellfounded_Owf(_u12252, hAPP(c_Set_OCollect(tc_prod(_u12252, _u12252)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12252, _u12252, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u12252, tc_HOL_Obool), tc_fun(_u12252, tc_HOL_Obool), _u12252), hAPP(c_COMBS(_u12252, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12252), c_fconj), _u12249))), hAPP(hAPP(c_COMBC(_u12252, tc_fun(_u12252, _u12252), tc_fun(_u12252, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12252, tc_HOL_Obool), tc_fun(tc_fun(_u12252, _u12252), tc_fun(_u12252, tc_HOL_Obool)), _u12252), c_COMBB(_u12252, tc_HOL_Obool, _u12252)), c_fequal)), _u12251))))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u12250, hAPP(_u12251, skolem295(_u12252, _u12251, _u12250, _u12249)))), hAPP(_u12250, skolem295(_u12252, _u12251, _u12250, _u12249)))) )).
% 43.38/43.64 cnf(matrix-5825, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12256)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12257)) | ( _u12257 = c_Orderings_Obot__class_Obot(tc_fun(_u12255, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool)), _u12256), _u12257)), c_Wellfounded_Omax__ext(_u12255, _u12258))) | hBOOL(hAPP(hAPP(c_member(_u12255), skolem296(_u12258, _u12257, _u12256, _u12255)), _u12256)) )).
% 43.38/43.64 cnf(matrix-5826, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12256)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12255), _u12257)) | ( _u12257 = c_Orderings_Obot__class_Obot(tc_fun(_u12255, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u12255, tc_HOL_Obool), tc_fun(_u12255, tc_HOL_Obool)), _u12256), _u12257)), c_Wellfounded_Omax__ext(_u12255, _u12258))) | ~hBOOL(hAPP(hAPP(c_member(_u12255), _u12253), _u12257)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12255, _u12255)), hAPP(hAPP(c_Product__Type_OPair(_u12255, _u12255), skolem296(_u12258, _u12257, _u12256, _u12255)), _u12253)), _u12258)) )).
% 43.38/43.64 cnf(matrix-5827, 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)))) )).
% 43.38/43.64 cnf(matrix-5828, plain, ( ~c_Wellfounded_Owf(_u12259, _u12260) | c_Wellfounded_Owf(tc_List_Olist(_u12259), c_List_Olex(_u12259, _u12260)) )).
% 43.38/43.64 cnf(matrix-5829, plain, ( ~c_Wellfounded_Owf(_u12261, _u12262) | c_Wellfounded_Owf(tc_List_Olist(_u12261), hAPP(c_List_Olexn(_u12261, _u12262), _u12263)) )).
% 43.38/43.64 cnf(matrix-5830, plain, ( ( c_List_Olex(_u12264, _u12265) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(tc_List_Olist(_u12264), tc_List_Olist(_u12264)), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool))), c_List_Olexn(_u12264, _u12265))) )).
% 43.38/43.64 cnf(matrix-5831, plain, ( ( hAPP(c_List_Olexn(_u12266, _u12267), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_List_Olist(_u12266), tc_List_Olist(_u12266)), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5832, plain, ( c_Wellfounded_Owf(tc_Nat_Onat, c_Wellfounded_Opred__nat) )).
% 43.38/43.64 cnf(matrix-5833, plain, ( c_Wellfounded_Owf(tc_prod(_u12272, _u12270), c_Recdef_Osame__fst(_u12272, _u12270, _u12269, _u12271)) | hBOOL(hAPP(_u12269, skolem297(_u12272, _u12271, _u12270, _u12269))) )).
% 43.38/43.64 cnf(matrix-5834, plain, ( c_Wellfounded_Owf(tc_prod(_u12272, _u12270), c_Recdef_Osame__fst(_u12272, _u12270, _u12269, _u12271)) | ~c_Wellfounded_Owf(_u12270, hAPP(_u12271, skolem297(_u12272, _u12271, _u12270, _u12269))) )).
% 43.38/43.64 cnf(matrix-5835, plain, ( ( c_Nitpick_Ozero__frac(_u12273) = c_Nitpick_OAbs__Frac(_u12273, 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)))) )).
% 43.38/43.64 cnf(matrix-5836, plain, ( ( hAPP(c_Relation_ORange(_u12274, _u12275), hAPP(c_Set_OCollect(tc_prod(_u12274, _u12275)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12274, _u12275, tc_HOL_Obool), _u12276))) = hAPP(c_Set_OCollect(_u12275), hAPP(hAPP(c_COMBB(tc_fun(_u12274, tc_HOL_Obool), tc_HOL_Obool, _u12275), c_HOL_OEx(_u12274)), hAPP(c_COMBC(_u12274, _u12275, tc_HOL_Obool), _u12276)))) )).
% 43.38/43.64 cnf(matrix-5837, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12277, _u12278)), hAPP(hAPP(c_Product__Type_OPair(_u12277, _u12278), _u12279), _u12280)), _u12281)) | hBOOL(hAPP(hAPP(c_member(_u12278), _u12280), hAPP(c_Relation_ORange(_u12277, _u12278), _u12281))) )).
% 43.38/43.64 cnf(matrix-5838, plain, ( ( hAPP(c_Relation_ORange(_u12282, _u12282), c_Relation_OId__on(_u12282, _u12283)) = _u12283) )).
% 43.38/43.64 cnf(matrix-5839, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12284, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12284, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12285, _u12284), _u12286)), hAPP(c_Relation_ORange(_u12285, _u12284), _u12287))), hAPP(c_Relation_ORange(_u12285, _u12284), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12285, _u12284), tc_HOL_Obool)), _u12286), _u12287)))) )).
% 43.38/43.64 cnf(matrix-5840, plain, ( ( hAPP(c_Relation_ORange(_u12288, _u12289), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12288, _u12289), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12289, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5841, plain, ( ( hAPP(c_Relation_ORange(_u12293, _u12295), _u12297) != c_Orderings_Obot__class_Obot(tc_fun(_u12295, tc_HOL_Obool))) | ( _u12297 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12293, _u12295), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5842, plain, ( ( _u12298 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12294, _u12296), tc_HOL_Obool))) | ( hAPP(c_Relation_ORange(_u12294, _u12296), _u12298) = c_Orderings_Obot__class_Obot(tc_fun(_u12296, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5843, plain, ( ( hAPP(c_Relation_ORange(_u12299, _u12300), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12299, _u12300), tc_HOL_Obool)), _u12301), _u12302)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12300, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12299, _u12300), _u12301)), hAPP(c_Relation_ORange(_u12299, _u12300), _u12302))) )).
% 43.38/43.64 cnf(matrix-5844, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12303, _u12304)), _u12305)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12304), hAPP(c_Relation_ORange(_u12303, _u12304), _u12305))) )).
% 43.38/43.64 cnf(matrix-5845, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12306, _u12307), _u12307, c_Product__Type_Osnd(_u12306, _u12307)), _u12308) = hAPP(c_Relation_ORange(_u12306, _u12307), _u12308)) )).
% 43.38/43.64 cnf(matrix-5846, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12315), _u12317), hAPP(c_Relation_ORange(_u12319, _u12315), _u12321))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12319, _u12315)), hAPP(hAPP(c_Product__Type_OPair(_u12319, _u12315), skolem298(_u12321, _u12319, _u12317, _u12315)), _u12317)), _u12321)) )).
% 43.38/43.64 cnf(matrix-5847, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12320, _u12316)), hAPP(hAPP(c_Product__Type_OPair(_u12320, _u12316), _u12310), _u12318)), _u12322)) | hBOOL(hAPP(hAPP(c_member(_u12316), _u12318), hAPP(c_Relation_ORange(_u12320, _u12316), _u12322))) )).
% 43.38/43.64 cnf(matrix-5848, plain, ( ( hAPP(c_Relation_ORange(_u12323, _u12324), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12323, _u12324)), hAPP(hAPP(c_Product__Type_OPair(_u12323, _u12324), _u12325), _u12326)), _u12327)) = hAPP(hAPP(c_Set_Oinsert(_u12324), _u12326), hAPP(c_Relation_ORange(_u12323, _u12324), _u12327))) )).
% 43.38/43.64 cnf(matrix-5849, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12328, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12329, _u12328), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12329, _u12328), tc_HOL_Obool)), _u12330), _u12331))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12328, tc_HOL_Obool)), hAPP(c_Relation_ORange(_u12329, _u12328), _u12330)), hAPP(c_Relation_ORange(_u12329, _u12328), _u12331)))) )).
% 43.38/43.64 cnf(matrix-5850, plain, ( ( c_Nitpick_Oone__frac(_u12332) = c_Nitpick_OAbs__Frac(_u12332, 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)))) )).
% 43.38/43.64 cnf(matrix-5851, plain, ( ( c_Nitpick_Onumber__of__frac(_u12333, _u12334) = c_Nitpick_OAbs__Frac(_u12333, hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint, tc_Int_Oint), _u12334), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.38/43.64 cnf(matrix-5852, plain, ( ~hBOOL(hAPP(c_Predicate_ORangeP(_u12339, _u12341, hAPP(hAPP(c_COMBC(_u12339, tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_fun(_u12341, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12341, tc_fun(tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_fun(_u12341, tc_HOL_Obool)), _u12339), c_COMBC(_u12341, tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12341, tc_prod(_u12339, _u12341)), tc_fun(_u12341, tc_fun(tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_HOL_Obool)), _u12339), hAPP(c_COMBB(tc_prod(_u12339, _u12341), tc_fun(tc_fun(tc_prod(_u12339, _u12341), tc_HOL_Obool), tc_HOL_Obool), _u12341), c_member(tc_prod(_u12339, _u12341)))), c_Product__Type_OPair(_u12339, _u12341)))), _u12343)), _u12345)) | hBOOL(hAPP(hAPP(c_member(_u12341), _u12345), hAPP(c_Relation_ORange(_u12339, _u12341), _u12343))) )).
% 43.38/43.64 cnf(matrix-5853, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12342), _u12346), hAPP(c_Relation_ORange(_u12340, _u12342), _u12344))) | hBOOL(hAPP(c_Predicate_ORangeP(_u12340, _u12342, hAPP(hAPP(c_COMBC(_u12340, tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_fun(_u12342, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12342, tc_fun(tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_fun(_u12342, tc_HOL_Obool)), _u12340), c_COMBC(_u12342, tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12342, tc_prod(_u12340, _u12342)), tc_fun(_u12342, tc_fun(tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_HOL_Obool)), _u12340), hAPP(c_COMBB(tc_prod(_u12340, _u12342), tc_fun(tc_fun(tc_prod(_u12340, _u12342), tc_HOL_Obool), tc_HOL_Obool), _u12342), c_member(tc_prod(_u12340, _u12342)))), c_Product__Type_OPair(_u12340, _u12342)))), _u12344)), _u12346)) )).
% 43.38/43.64 cnf(matrix-5854, plain, ( ~hBOOL(hAPP(hAPP(_u12347, _u12348), _u12349)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12350, _u12351, _u12347), _u12349)) )).
% 43.38/43.64 cnf(matrix-5855, plain, ( hBOOL(hAPP(hAPP(_u12362, skolem299(_u12364, _u12362)), _u12364)) | ~hBOOL(hAPP(c_Predicate_ORangeP(_u12358, _u12360, _u12362), _u12364)) )).
% 43.38/43.64 cnf(matrix-5856, plain, ( ~hBOOL(hAPP(hAPP(_u12363, _u12353), _u12365)) | hBOOL(hAPP(c_Predicate_ORangeP(_u12359, _u12361, _u12363), _u12365)) )).
% 43.38/43.64 cnf(matrix-5857, plain, ( ( hAPP(hAPP(c_Nitpick_Ofrac(_u12366), _u12367), _u12368) = c_Nitpick_OAbs__Frac(_u12366, c_Nitpick_Onorm__frac(_u12367, _u12368))) )).
% 43.38/43.64 cnf(matrix-5858, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12370), _u12371), hAPP(c_Relation_ORange(_u12372, _u12370), _u12373))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12372, _u12370)), hAPP(hAPP(c_Product__Type_OPair(_u12372, _u12370), skolem300(_u12373, _u12372, _u12371, _u12370)), _u12371)), _u12373)) )).
% 43.38/43.64 cnf(matrix-5859, plain, ( ~c_Wellfounded_Owf(_u12374, _u12375) | ~c_Wellfounded_Owf(_u12374, _u12376) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12374, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12374, _u12374), _u12375)), hAPP(c_Relation_ORange(_u12374, _u12374), _u12376)) != c_Orderings_Obot__class_Obot(tc_fun(_u12374, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12374, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12374, _u12374), tc_HOL_Obool)), _u12375), _u12376)) )).
% 43.38/43.64 cnf(matrix-5860, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12377, _u12378)), hAPP(hAPP(c_Product__Type_OPair(_u12377, _u12378), _u12379), _u12380)), _u12381)) | hBOOL(hAPP(hAPP(c_member(_u12377), _u12379), hAPP(c_Relation_ODomain(_u12377, _u12378), _u12381))) )).
% 43.38/43.64 cnf(matrix-5861, plain, ( ( hAPP(c_Relation_ODomain(_u12382, _u12382), c_Relation_OId__on(_u12382, _u12383)) = _u12383) )).
% 43.38/43.64 cnf(matrix-5862, plain, ( ( hAPP(c_Relation_ODomain(_u12384, _u12385), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12384, _u12385), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u12384, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5863, plain, ( ( hAPP(c_Relation_ODomain(_u12389, _u12391), _u12393) != c_Orderings_Obot__class_Obot(tc_fun(_u12389, tc_HOL_Obool))) | ( _u12393 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12389, _u12391), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5864, plain, ( ( _u12394 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12390, _u12392), tc_HOL_Obool))) | ( hAPP(c_Relation_ODomain(_u12390, _u12392), _u12394) = c_Orderings_Obot__class_Obot(tc_fun(_u12390, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5865, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12395, _u12396), tc_HOL_Obool)), _u12397), _u12398)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12395, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12395, _u12396), _u12397)), hAPP(c_Relation_ODomain(_u12395, _u12396), _u12398))) )).
% 43.38/43.64 cnf(matrix-5866, plain, ( ( hAPP(c_Relation_ODomain(_u12399, _u12400), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12399, _u12400), tc_HOL_Obool)), _u12401), _u12402)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12399, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12399, _u12400), _u12401)), hAPP(c_Relation_ODomain(_u12399, _u12400), _u12402))) )).
% 43.38/43.64 cnf(matrix-5867, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12403, _u12404)), _u12405)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12403), hAPP(c_Relation_ODomain(_u12403, _u12404), _u12405))) )).
% 43.38/43.64 cnf(matrix-5868, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12406, _u12407), _u12406, c_Product__Type_Ofst(_u12406, _u12407)), _u12408) = hAPP(c_Relation_ODomain(_u12406, _u12407), _u12408)) )).
% 43.38/43.64 cnf(matrix-5869, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12415), _u12417), hAPP(c_Relation_ODomain(_u12415, _u12419), _u12421))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12415, _u12419)), hAPP(hAPP(c_Product__Type_OPair(_u12415, _u12419), _u12417), skolem301(_u12421, _u12419, _u12417, _u12415))), _u12421)) )).
% 43.38/43.64 cnf(matrix-5870, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12416, _u12420)), hAPP(hAPP(c_Product__Type_OPair(_u12416, _u12420), _u12418), _u12410)), _u12422)) | hBOOL(hAPP(hAPP(c_member(_u12416), _u12418), hAPP(c_Relation_ODomain(_u12416, _u12420), _u12422))) )).
% 43.38/43.64 cnf(matrix-5871, plain, ( ( hAPP(c_Relation_ODomain(_u12423, _u12424), hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12423, _u12424)), hAPP(hAPP(c_Product__Type_OPair(_u12423, _u12424), _u12425), _u12426)), _u12427)) = hAPP(hAPP(c_Set_Oinsert(_u12423), _u12425), hAPP(c_Relation_ODomain(_u12423, _u12424), _u12427))) )).
% 43.38/43.64 cnf(matrix-5872, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12428, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12428, _u12429), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12428, _u12429), tc_HOL_Obool)), _u12430), _u12431))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12428, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12428, _u12429), _u12430)), hAPP(c_Relation_ODomain(_u12428, _u12429), _u12431)))) )).
% 43.38/43.64 cnf(matrix-5873, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12432, tc_HOL_Obool)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12432, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12432, _u12433), _u12434)), hAPP(c_Relation_ODomain(_u12432, _u12433), _u12435))), hAPP(c_Relation_ODomain(_u12432, _u12433), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12432, _u12433), tc_HOL_Obool)), _u12434), _u12435)))) )).
% 43.38/43.64 cnf(matrix-5874, plain, ( ( hAPP(c_Relation_OField(_u12436), _u12437) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12436, tc_HOL_Obool)), hAPP(c_Relation_ODomain(_u12436, _u12436), _u12437)), hAPP(c_Relation_ORange(_u12436, _u12436), _u12437))) )).
% 43.38/43.64 cnf(matrix-5875, plain, ( ( hAPP(c_Relation_ODomain(_u12438, _u12439), hAPP(c_Set_OCollect(tc_prod(_u12438, _u12439)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12438, _u12439, tc_HOL_Obool), _u12440))) = hAPP(c_Set_OCollect(_u12438), hAPP(hAPP(c_COMBB(tc_fun(_u12439, tc_HOL_Obool), tc_HOL_Obool, _u12438), c_HOL_OEx(_u12439)), _u12440))) )).
% 43.38/43.64 cnf(matrix-5876, plain, ( ~hBOOL(hAPP(c_Predicate_ODomainP(_u12445, _u12447, hAPP(hAPP(c_COMBC(_u12445, tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_fun(_u12447, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12447, tc_fun(tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_fun(_u12447, tc_HOL_Obool)), _u12445), c_COMBC(_u12447, tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12447, tc_prod(_u12445, _u12447)), tc_fun(_u12447, tc_fun(tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_HOL_Obool)), _u12445), hAPP(c_COMBB(tc_prod(_u12445, _u12447), tc_fun(tc_fun(tc_prod(_u12445, _u12447), tc_HOL_Obool), tc_HOL_Obool), _u12447), c_member(tc_prod(_u12445, _u12447)))), c_Product__Type_OPair(_u12445, _u12447)))), _u12449)), _u12451)) | hBOOL(hAPP(hAPP(c_member(_u12445), _u12451), hAPP(c_Relation_ODomain(_u12445, _u12447), _u12449))) )).
% 43.38/43.64 cnf(matrix-5877, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12446), _u12452), hAPP(c_Relation_ODomain(_u12446, _u12448), _u12450))) | hBOOL(hAPP(c_Predicate_ODomainP(_u12446, _u12448, hAPP(hAPP(c_COMBC(_u12446, tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_fun(_u12448, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12448, tc_fun(tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_fun(_u12448, tc_HOL_Obool)), _u12446), c_COMBC(_u12448, tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12448, tc_prod(_u12446, _u12448)), tc_fun(_u12448, tc_fun(tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_HOL_Obool)), _u12446), hAPP(c_COMBB(tc_prod(_u12446, _u12448), tc_fun(tc_fun(tc_prod(_u12446, _u12448), tc_HOL_Obool), tc_HOL_Obool), _u12448), c_member(tc_prod(_u12446, _u12448)))), c_Product__Type_OPair(_u12446, _u12448)))), _u12450)), _u12452)) )).
% 43.38/43.64 cnf(matrix-5878, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12454), _u12455), hAPP(c_Relation_ODomain(_u12454, _u12456), _u12457))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12454, _u12456)), hAPP(hAPP(c_Product__Type_OPair(_u12454, _u12456), _u12455), skolem302(_u12457, _u12456, _u12455, _u12454))), _u12457)) )).
% 43.38/43.64 cnf(matrix-5879, plain, ( ( hAPP(c_Set_Oimage(_u12458, tc_prod(_u12459, _u12460), hAPP(hAPP(c_COMBS(_u12458, _u12460, tc_prod(_u12459, _u12460)), hAPP(hAPP(c_COMBB(_u12459, tc_fun(_u12460, tc_prod(_u12459, _u12460)), _u12458), c_Product__Type_OPair(_u12459, _u12460)), _u12461)), _u12462)), _u12463) = hAPP(hAPP(c_Product__Type_OSigma(_u12459, _u12460), hAPP(c_Set_Oimage(_u12458, _u12459, _u12461), _u12463)), hAPP(hAPP(c_COMBB(tc_fun(_u12458, tc_HOL_Obool), tc_fun(_u12460, tc_HOL_Obool), _u12459), c_Set_Oimage(_u12458, _u12460, _u12462)), hAPP(hAPP(c_COMBC(_u12459, tc_fun(_u12458, tc_HOL_Obool), tc_fun(_u12458, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12458, tc_HOL_Obool), tc_fun(tc_fun(_u12458, tc_HOL_Obool), tc_fun(_u12458, tc_HOL_Obool)), _u12459), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12458, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12459, tc_HOL_Obool), tc_fun(_u12458, tc_HOL_Obool), _u12459), c_Set_Ovimage(_u12458, _u12459, _u12461)), hAPP(hAPP(c_COMBC(_u12459, tc_fun(_u12459, tc_HOL_Obool), tc_fun(_u12459, tc_HOL_Obool)), c_Set_Oinsert(_u12459)), c_Orderings_Obot__class_Obot(tc_fun(_u12459, tc_HOL_Obool)))))), _u12463)))) )).
% 43.38/43.64 cnf(matrix-5880, plain, ( ~hBOOL(hAPP(hAPP(_u12464, _u12465), _u12466)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12467, _u12468, _u12464), _u12465)) )).
% 43.38/43.64 cnf(matrix-5881, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12469), _u12470), _u12471)) | ~hBOOL(hAPP(hAPP(c_member(_u12472), _u12473), hAPP(_u12474, _u12470))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12469, _u12472)), hAPP(hAPP(c_Product__Type_OPair(_u12469, _u12472), _u12470), _u12473)), hAPP(hAPP(c_Product__Type_OSigma(_u12469, _u12472), _u12471), _u12474))) )).
% 43.38/43.64 cnf(matrix-5882, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12475, _u12476), c_Orderings_Obot__class_Obot(tc_fun(_u12475, tc_HOL_Obool))), _u12477) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12475, _u12476), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5883, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12478), _u12479), _u12480)) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12478), _u12482), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12481), _u12480)) != hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12478), _u12483), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12481), _u12480))) | ( _u12482 = _u12483) )).
% 43.38/43.64 cnf(matrix-5884, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12478), _u12479), _u12480)) | ( _u12482 != _u12483) | ( hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12478), _u12482), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12481), _u12480)) = hAPP(hAPP(c_Product__Type_OSigma(_u12481, _u12478), _u12483), hAPP(c_COMBK(tc_fun(_u12478, tc_HOL_Obool), _u12481), _u12480))) )).
% 43.38/43.64 cnf(matrix-5885, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12484, _u12485)), hAPP(hAPP(c_Product__Type_OSigma(_u12484, _u12485), _u12486), hAPP(c_COMBK(tc_fun(_u12485, tc_HOL_Obool), _u12484), _u12487))) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u12484), _u12486)), hAPP(c_Finite__Set_Ocard(_u12485), _u12487))) )).
% 43.38/43.64 cnf(matrix-5886, plain, ( ~class_Groups_Ocomm__monoid__add(_u12488) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12489, _u12488), hAPP(hAPP(c_COMBC(_u12489, tc_fun(_u12490, tc_HOL_Obool), _u12488), hAPP(hAPP(c_COMBB(tc_fun(_u12490, _u12488), tc_fun(tc_fun(_u12490, tc_HOL_Obool), _u12488), _u12489), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12490, _u12488)), _u12491)), _u12492)), _u12493) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12489, _u12490), _u12488), hAPP(c_Product__Type_Oprod_Oprod__case(_u12489, _u12490, _u12488), _u12491)), hAPP(hAPP(c_Product__Type_OSigma(_u12489, _u12490), _u12493), hAPP(c_COMBK(tc_fun(_u12490, tc_HOL_Obool), _u12489), _u12492)))) )).
% 43.38/43.64 cnf(matrix-5887, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12498, _u12500), _u12502), hAPP(c_COMBK(tc_fun(_u12500, tc_HOL_Obool), _u12498), _u12504)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12498, _u12500), tc_HOL_Obool))) | ( _u12502 = c_Orderings_Obot__class_Obot(tc_fun(_u12498, tc_HOL_Obool))) | ( _u12504 = c_Orderings_Obot__class_Obot(tc_fun(_u12500, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5888, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12499, _u12501), _u12503), hAPP(c_COMBK(tc_fun(_u12501, tc_HOL_Obool), _u12499), _u12505)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12499, _u12501), tc_HOL_Obool))) | ( _u12503 != c_Orderings_Obot__class_Obot(tc_fun(_u12499, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5889, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12499, _u12501), _u12503), hAPP(c_COMBK(tc_fun(_u12501, tc_HOL_Obool), _u12499), _u12505)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12499, _u12501), tc_HOL_Obool))) | ( _u12505 != c_Orderings_Obot__class_Obot(tc_fun(_u12501, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5890, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12506, _u12507), _u12508), hAPP(c_COMBK(tc_fun(_u12507, tc_HOL_Obool), _u12506), c_Orderings_Obot__class_Obot(tc_fun(_u12507, tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12506, _u12507), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5891, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12509, _u12510), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), c_Orderings_Otop__class_Otop(tc_fun(_u12509, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), _u12511))) = hAPP(hAPP(c_Product__Type_OSigma(_u12509, _u12510), c_Orderings_Otop__class_Otop(tc_fun(_u12509, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12510, tc_HOL_Obool), _u12509), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12510, tc_HOL_Obool)), _u12511)))) )).
% 43.38/43.64 cnf(matrix-5892, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(tc_prod(_u12512, _u12513), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12512, _u12513), _u12514), hAPP(c_COMBK(tc_fun(_u12513, tc_HOL_Obool), _u12512), c_Orderings_Otop__class_Otop(tc_fun(_u12513, tc_HOL_Obool))))) = hAPP(hAPP(c_Product__Type_OSigma(_u12512, _u12513), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u12512, tc_HOL_Obool)), _u12514)), hAPP(c_COMBK(tc_fun(_u12513, tc_HOL_Obool), _u12512), c_Orderings_Otop__class_Otop(tc_fun(_u12513, tc_HOL_Obool))))) )).
% 43.38/43.64 cnf(matrix-5893, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12515) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12516, _u12515), hAPP(hAPP(c_COMBC(_u12516, tc_fun(_u12517, tc_HOL_Obool), _u12515), hAPP(hAPP(c_COMBB(tc_fun(_u12517, _u12515), tc_fun(tc_fun(_u12517, tc_HOL_Obool), _u12515), _u12516), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12517, _u12515)), _u12518)), _u12519)), _u12520) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12516, _u12517), _u12515), hAPP(c_Product__Type_Oprod_Oprod__case(_u12516, _u12517, _u12515), _u12518)), hAPP(hAPP(c_Product__Type_OSigma(_u12516, _u12517), _u12520), hAPP(c_COMBK(tc_fun(_u12517, tc_HOL_Obool), _u12516), _u12519)))) )).
% 43.38/43.64 cnf(matrix-5894, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12521, _u12522), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12521, tc_HOL_Obool)), _u12523), _u12524)), _u12525) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12521, _u12522), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12521, _u12522), _u12523), _u12525)), hAPP(hAPP(c_Product__Type_OSigma(_u12521, _u12522), _u12524), _u12525))) )).
% 43.38/43.64 cnf(matrix-5895, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12526, _u12527), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12526, tc_HOL_Obool)), _u12528), _u12529)), hAPP(c_COMBK(tc_fun(_u12527, tc_HOL_Obool), _u12526), _u12530)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12526, _u12527), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12526, _u12527), _u12528), hAPP(c_COMBK(tc_fun(_u12527, tc_HOL_Obool), _u12526), _u12530))), hAPP(hAPP(c_Product__Type_OSigma(_u12526, _u12527), _u12529), hAPP(c_COMBK(tc_fun(_u12527, tc_HOL_Obool), _u12526), _u12530)))) )).
% 43.38/43.64 cnf(matrix-5896, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12531, _u12532), _u12533), hAPP(hAPP(c_COMBS(_u12531, tc_fun(_u12532, tc_HOL_Obool), tc_fun(_u12532, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12532, tc_HOL_Obool), tc_fun(tc_fun(_u12532, tc_HOL_Obool), tc_fun(_u12532, tc_HOL_Obool)), _u12531), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12532, tc_HOL_Obool))), _u12534)), _u12535)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12531, _u12532), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12531, _u12532), _u12533), _u12534)), hAPP(hAPP(c_Product__Type_OSigma(_u12531, _u12532), _u12533), _u12535))) )).
% 43.38/43.64 cnf(matrix-5897, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12536, _u12537), tc_HOL_Obool)), _u12538), hAPP(hAPP(c_Product__Type_OSigma(_u12536, _u12537), _u12539), hAPP(c_COMBK(tc_fun(_u12537, tc_HOL_Obool), _u12536), _u12540)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12537, _u12541), tc_HOL_Obool)), _u12542), hAPP(hAPP(c_Product__Type_OSigma(_u12537, _u12541), _u12540), hAPP(c_COMBK(tc_fun(_u12541, tc_HOL_Obool), _u12537), _u12543)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12536, _u12541), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u12536, _u12537, _u12541), _u12538), _u12542)), hAPP(hAPP(c_Product__Type_OSigma(_u12536, _u12541), _u12539), hAPP(c_COMBK(tc_fun(_u12541, tc_HOL_Obool), _u12536), _u12543)))) )).
% 43.38/43.64 cnf(matrix-5898, plain, ( ( hAPP(c_Set_Oimage(tc_prod(_u12544, _u12545), tc_prod(_u12545, _u12544), hAPP(c_Product__Type_Oprod_Oprod__case(_u12544, _u12545, tc_prod(_u12545, _u12544)), hAPP(c_COMBC(_u12545, _u12544, tc_prod(_u12545, _u12544)), c_Product__Type_OPair(_u12545, _u12544)))), hAPP(hAPP(c_Product__Type_OSigma(_u12544, _u12545), _u12546), hAPP(c_COMBK(tc_fun(_u12545, tc_HOL_Obool), _u12544), _u12547))) = hAPP(hAPP(c_Product__Type_OSigma(_u12545, _u12544), _u12547), hAPP(c_COMBK(tc_fun(_u12544, tc_HOL_Obool), _u12545), _u12546))) )).
% 43.38/43.64 cnf(matrix-5899, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12548), _u12549)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12550), _u12551)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12548, _u12550)), hAPP(hAPP(c_Product__Type_OSigma(_u12548, _u12550), _u12549), hAPP(c_COMBK(tc_fun(_u12550, tc_HOL_Obool), _u12548), _u12551)))) )).
% 43.38/43.64 cnf(matrix-5900, plain, ( ~c_Equiv__Relations_Oequiv(_u12552, _u12553, _u12554) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12552, _u12552), tc_HOL_Obool)), _u12554), hAPP(hAPP(c_Product__Type_OSigma(_u12552, _u12552), _u12553), hAPP(c_COMBK(tc_fun(_u12552, tc_HOL_Obool), _u12552), _u12553)))) )).
% 43.38/43.64 cnf(matrix-5901, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12555, _u12556), _u12557), hAPP(hAPP(c_COMBS(_u12555, tc_fun(_u12556, tc_HOL_Obool), tc_fun(_u12556, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12556, tc_HOL_Obool), tc_fun(tc_fun(_u12556, tc_HOL_Obool), tc_fun(_u12556, tc_HOL_Obool)), _u12555), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12556, tc_HOL_Obool))), _u12558)), _u12559)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12555, _u12556), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12555, _u12556), _u12557), _u12558)), hAPP(hAPP(c_Product__Type_OSigma(_u12555, _u12556), _u12557), _u12559))) )).
% 43.38/43.64 cnf(matrix-5902, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12560, _u12561), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12560, tc_HOL_Obool)), _u12562), _u12563)), hAPP(c_COMBK(tc_fun(_u12561, tc_HOL_Obool), _u12560), _u12564)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12560, _u12561), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12560, _u12561), _u12562), hAPP(c_COMBK(tc_fun(_u12561, tc_HOL_Obool), _u12560), _u12564))), hAPP(hAPP(c_Product__Type_OSigma(_u12560, _u12561), _u12563), hAPP(c_COMBK(tc_fun(_u12561, tc_HOL_Obool), _u12560), _u12564)))) )).
% 43.38/43.64 cnf(matrix-5903, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12565, _u12566), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12565, tc_HOL_Obool)), _u12567), _u12568)), _u12569) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12565, _u12566), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12565, _u12566), _u12567), _u12569)), hAPP(hAPP(c_Product__Type_OSigma(_u12565, _u12566), _u12568), _u12569))) )).
% 43.38/43.64 cnf(matrix-5904, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12570, _u12570), tc_HOL_Obool)), c_Relation_OId__on(_u12570, _u12571)), hAPP(hAPP(c_Product__Type_OSigma(_u12570, _u12570), _u12571), hAPP(c_COMBK(tc_fun(_u12570, tc_HOL_Obool), _u12570), _u12571)))) )).
% 43.38/43.64 cnf(matrix-5905, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12573), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12572, tc_HOL_Obool)), _u12574), _u12575)), _u12576) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12572, _u12573), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12573), _u12574), _u12576)), hAPP(hAPP(c_Product__Type_OSigma(_u12572, _u12573), _u12575), _u12576))) )).
% 43.38/43.64 cnf(matrix-5906, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12577, _u12578), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u12577, tc_HOL_Obool)), _u12579), _u12580)), hAPP(c_COMBK(tc_fun(_u12578, tc_HOL_Obool), _u12577), _u12581)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12577, _u12578), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12577, _u12578), _u12579), hAPP(c_COMBK(tc_fun(_u12578, tc_HOL_Obool), _u12577), _u12581))), hAPP(hAPP(c_Product__Type_OSigma(_u12577, _u12578), _u12580), hAPP(c_COMBK(tc_fun(_u12578, tc_HOL_Obool), _u12577), _u12581)))) )).
% 43.38/43.64 cnf(matrix-5907, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12582, _u12583), _u12584), hAPP(hAPP(c_COMBS(_u12582, tc_fun(_u12583, tc_HOL_Obool), tc_fun(_u12583, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12583, tc_HOL_Obool), tc_fun(tc_fun(_u12583, tc_HOL_Obool), tc_fun(_u12583, tc_HOL_Obool)), _u12582), c_Groups_Ominus__class_Ominus(tc_fun(_u12583, tc_HOL_Obool))), _u12585)), _u12586)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u12582, _u12583), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12582, _u12583), _u12584), _u12585)), hAPP(hAPP(c_Product__Type_OSigma(_u12582, _u12583), _u12584), _u12586))) )).
% 43.38/43.64 cnf(matrix-5908, plain, ( hBOOL(hAPP(hAPP(_u12597, _u12599), skolem303(_u12599, _u12597))) | ~hBOOL(hAPP(c_Predicate_ODomainP(_u12593, _u12595, _u12597), _u12599)) )).
% 43.38/43.64 cnf(matrix-5909, plain, ( ~hBOOL(hAPP(hAPP(_u12598, _u12600), _u12588)) | hBOOL(hAPP(c_Predicate_ODomainP(_u12594, _u12596, _u12598), _u12600)) )).
% 43.38/43.64 cnf(matrix-5910, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12601, _u12602), c_Orderings_Otop__class_Otop(tc_fun(_u12601, tc_HOL_Obool))), hAPP(c_COMBK(tc_fun(_u12602, tc_HOL_Obool), _u12601), c_Orderings_Otop__class_Otop(tc_fun(_u12602, tc_HOL_Obool)))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12601, _u12602), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5911, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12603, _u12604)), hAPP(hAPP(c_Product__Type_OPair(_u12603, _u12604), _u12605), _u12606)), hAPP(hAPP(c_Product__Type_OSigma(_u12603, _u12604), _u12607), _u12608))) | hBOOL(hAPP(hAPP(c_member(_u12603), _u12605), _u12607)) )).
% 43.38/43.64 cnf(matrix-5912, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12603, _u12604)), hAPP(hAPP(c_Product__Type_OPair(_u12603, _u12604), _u12605), _u12606)), hAPP(hAPP(c_Product__Type_OSigma(_u12603, _u12604), _u12607), _u12608))) | hBOOL(hAPP(hAPP(c_member(_u12604), _u12606), hAPP(_u12608, _u12605))) )).
% 43.38/43.64 cnf(matrix-5913, plain, ( hBOOL(hAPP(hAPP(c_member(_u12610), _u12612), hAPP(_u12614, _u12611))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12609, _u12610)), hAPP(hAPP(c_Product__Type_OPair(_u12609, _u12610), _u12611), _u12612)), hAPP(hAPP(c_Product__Type_OSigma(_u12609, _u12610), _u12613), _u12614))) )).
% 43.38/43.64 cnf(matrix-5914, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12615, _u12616)), hAPP(hAPP(c_Product__Type_OPair(_u12615, _u12616), _u12617), _u12618)), hAPP(hAPP(c_Product__Type_OSigma(_u12615, _u12616), _u12619), _u12620))) | hBOOL(hAPP(hAPP(c_member(_u12615), _u12617), _u12619)) )).
% 43.38/43.64 cnf(matrix-5915, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12627, _u12629)), hAPP(hAPP(c_Product__Type_OPair(_u12627, _u12629), _u12631), _u12633)), hAPP(hAPP(c_Product__Type_OSigma(_u12627, _u12629), _u12635), _u12637))) | hBOOL(hAPP(hAPP(c_member(_u12627), _u12631), _u12635)) )).
% 43.38/43.64 cnf(matrix-5916, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12627, _u12629)), hAPP(hAPP(c_Product__Type_OPair(_u12627, _u12629), _u12631), _u12633)), hAPP(hAPP(c_Product__Type_OSigma(_u12627, _u12629), _u12635), _u12637))) | hBOOL(hAPP(hAPP(c_member(_u12629), _u12633), hAPP(_u12637, _u12631))) )).
% 43.38/43.64 cnf(matrix-5917, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12628), _u12632), _u12636)) | ~hBOOL(hAPP(hAPP(c_member(_u12630), _u12634), hAPP(_u12638, _u12632))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12628, _u12630)), hAPP(hAPP(c_Product__Type_OPair(_u12628, _u12630), _u12632), _u12634)), hAPP(hAPP(c_Product__Type_OSigma(_u12628, _u12630), _u12636), _u12638))) )).
% 43.38/43.64 cnf(matrix-5918, plain, ( ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12639, _u12640)), hAPP(hAPP(c_Product__Type_OSigma(_u12639, _u12640), hAPP(hAPP(c_Set_Oinsert(_u12639), _u12641), c_Orderings_Obot__class_Obot(tc_fun(_u12639, tc_HOL_Obool)))), hAPP(c_COMBK(tc_fun(_u12640, tc_HOL_Obool), _u12639), _u12642))) = hAPP(c_Finite__Set_Ocard(_u12640), _u12642)) )).
% 43.38/43.64 cnf(matrix-5919, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12643), _u12644), _u12645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12646, _u12643), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12646, _u12643), _u12647), hAPP(c_COMBK(tc_fun(_u12643, tc_HOL_Obool), _u12646), _u12645))), hAPP(hAPP(c_Product__Type_OSigma(_u12646, _u12643), _u12648), hAPP(c_COMBK(tc_fun(_u12643, tc_HOL_Obool), _u12646), _u12645)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12646, tc_HOL_Obool)), _u12647), _u12648)) )).
% 43.38/43.64 cnf(matrix-5920, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u12643), _u12644), _u12645)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12646, tc_HOL_Obool)), _u12647), _u12648)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12646, _u12643), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12646, _u12643), _u12647), hAPP(c_COMBK(tc_fun(_u12643, tc_HOL_Obool), _u12646), _u12645))), hAPP(hAPP(c_Product__Type_OSigma(_u12646, _u12643), _u12648), hAPP(c_COMBK(tc_fun(_u12643, tc_HOL_Obool), _u12646), _u12645)))) )).
% 43.38/43.64 cnf(matrix-5921, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12649, _u12650), tc_HOL_Obool)), _u12651), hAPP(hAPP(c_Product__Type_OSigma(_u12649, _u12650), _u12652), hAPP(c_COMBK(tc_fun(_u12650, tc_HOL_Obool), _u12649), _u12653)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12650, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u12649, _u12650, _u12651), _u12654)), _u12653)) )).
% 43.38/43.64 cnf(matrix-5922, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12655, _u12656)), hAPP(hAPP(c_Product__Type_OSigma(_u12655, _u12656), _u12657), hAPP(c_COMBK(tc_fun(_u12656, tc_HOL_Obool), _u12655), _u12658)))) | ( _u12658 = c_Orderings_Obot__class_Obot(tc_fun(_u12656, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12655), _u12657)) )).
% 43.38/43.64 cnf(matrix-5923, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12659, _u12660)), hAPP(hAPP(c_Product__Type_OSigma(_u12659, _u12660), _u12661), hAPP(c_COMBK(tc_fun(_u12660, tc_HOL_Obool), _u12659), _u12662)))) | ( _u12661 = c_Orderings_Obot__class_Obot(tc_fun(_u12659, tc_HOL_Obool))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12660), _u12662)) )).
% 43.38/43.64 cnf(matrix-5924, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12663, _u12664)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12663, _u12664, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12663, tc_fun(_u12664, tc_HOL_Obool), tc_fun(_u12664, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12664, tc_HOL_Obool), tc_fun(_u12664, tc_HOL_Obool)), _u12663), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12664)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12663), c_fconj), _u12665))), _u12666))) = hAPP(hAPP(c_Product__Type_OSigma(_u12663, _u12664), hAPP(c_Set_OCollect(_u12663), _u12665)), hAPP(c_COMBK(tc_fun(_u12664, tc_HOL_Obool), _u12663), hAPP(c_Set_OCollect(_u12664), _u12666)))) )).
% 43.38/43.64 cnf(matrix-5925, plain, ( ( hAPP(c_Set_OCollect(tc_prod(_u12667, _u12668)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12667, _u12668, tc_HOL_Obool), hAPP(hAPP(c_COMBS(_u12667, tc_fun(_u12668, tc_HOL_Obool), tc_fun(_u12668, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12668, tc_HOL_Obool), tc_fun(_u12668, tc_HOL_Obool)), _u12667), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12668)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12667), c_fconj), _u12669))), _u12670))) = hAPP(hAPP(c_Product__Type_OSigma(_u12667, _u12668), hAPP(c_Set_OCollect(_u12667), _u12669)), hAPP(hAPP(c_COMBB(tc_fun(_u12668, tc_HOL_Obool), tc_fun(_u12668, tc_HOL_Obool), _u12667), c_Set_OCollect(_u12668)), _u12670))) )).
% 43.38/43.64 cnf(matrix-5926, plain, ( ( _u12675 != c_Orderings_Obot__class_Obot(tc_fun(_u12677, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12679, _u12677), _u12679, c_Product__Type_Ofst(_u12679, _u12677)), hAPP(hAPP(c_Product__Type_OSigma(_u12679, _u12677), _u12681), hAPP(c_COMBK(tc_fun(_u12677, tc_HOL_Obool), _u12679), _u12675))) = c_Orderings_Obot__class_Obot(tc_fun(_u12679, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5927, plain, ( ( _u12676 = c_Orderings_Obot__class_Obot(tc_fun(_u12678, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12680, _u12678), _u12680, c_Product__Type_Ofst(_u12680, _u12678)), hAPP(hAPP(c_Product__Type_OSigma(_u12680, _u12678), _u12682), hAPP(c_COMBK(tc_fun(_u12678, tc_HOL_Obool), _u12680), _u12676))) = _u12682) )).
% 43.38/43.64 cnf(matrix-5928, plain, ( ( _u12687 != c_Orderings_Obot__class_Obot(tc_fun(_u12689, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12689, _u12691), _u12691, c_Product__Type_Osnd(_u12689, _u12691)), hAPP(hAPP(c_Product__Type_OSigma(_u12689, _u12691), _u12687), hAPP(c_COMBK(tc_fun(_u12691, tc_HOL_Obool), _u12689), _u12693))) = c_Orderings_Obot__class_Obot(tc_fun(_u12691, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5929, plain, ( ( _u12688 = c_Orderings_Obot__class_Obot(tc_fun(_u12690, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12690, _u12692), _u12692, c_Product__Type_Osnd(_u12690, _u12692)), hAPP(hAPP(c_Product__Type_OSigma(_u12690, _u12692), _u12688), hAPP(c_COMBK(tc_fun(_u12692, tc_HOL_Obool), _u12690), _u12694))) = _u12694) )).
% 43.38/43.64 cnf(matrix-5930, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12695, _u12696), hAPP(hAPP(c_Set_Oinsert(_u12695), _u12697), _u12698)), hAPP(c_COMBK(tc_fun(_u12696, tc_HOL_Obool), _u12695), hAPP(hAPP(c_Set_Oinsert(_u12696), _u12699), _u12700))) = hAPP(hAPP(c_Set_Oinsert(tc_prod(_u12695, _u12696)), hAPP(hAPP(c_Product__Type_OPair(_u12695, _u12696), _u12697), _u12699)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12695, _u12696), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12695, _u12696), _u12698), hAPP(c_COMBK(tc_fun(_u12696, tc_HOL_Obool), _u12695), hAPP(hAPP(c_Set_Oinsert(_u12696), _u12699), _u12700)))), hAPP(hAPP(c_Product__Type_OSigma(_u12695, _u12696), hAPP(hAPP(c_Set_Oinsert(_u12695), _u12697), _u12698)), hAPP(c_COMBK(tc_fun(_u12696, tc_HOL_Obool), _u12695), _u12700))))) )).
% 43.38/43.64 cnf(matrix-5931, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12701), _u12702)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12701, _u12701), tc_HOL_Obool)), _u12703), hAPP(hAPP(c_Product__Type_OSigma(_u12701, _u12701), _u12702), hAPP(c_COMBK(tc_fun(_u12701, tc_HOL_Obool), _u12701), _u12702)))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u12701, tc_HOL_Obool)), _u12704), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12701), _u12702), _u12703))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u12701), _u12704)) )).
% 43.38/43.64 cnf(matrix-5932, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_prod(_u12705, _u12706), tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u12705, _u12706), _u12709), hAPP(c_COMBK(tc_fun(_u12706, tc_HOL_Obool), _u12705), _u12710))), hAPP(c_Product__Type_Oprod_Oprod__case(_u12705, _u12706, tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u12705, tc_fun(_u12706, tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool))), tc_fun(_u12706, tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool)), tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool)), tc_fun(tc_fun(_u12706, tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool))), tc_fun(_u12706, tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool))), _u12705), c_COMBB(tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool)), tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool), _u12706)), hAPP(hAPP(c_COMBB(tc_fun(_u12707, tc_HOL_Obool), tc_fun(tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool)), tc_fun(tc_prod(_u12707, _u12708), tc_HOL_Obool)), _u12705), c_Product__Type_OSigma(_u12707, _u12708)), _u12711))), hAPP(hAPP(c_COMBB(tc_fun(_u12708, tc_HOL_Obool), tc_fun(_u12707, tc_fun(_u12708, tc_HOL_Obool)), _u12706), c_COMBK(tc_fun(_u12708, tc_HOL_Obool), _u12707)), _u12712)))) = hAPP(hAPP(c_Product__Type_OSigma(_u12707, _u12708), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12705, tc_fun(_u12707, tc_HOL_Obool)), _u12709), _u12711)), hAPP(c_COMBK(tc_fun(_u12708, tc_HOL_Obool), _u12707), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12706, tc_fun(_u12708, tc_HOL_Obool)), _u12710), _u12712)))) )).
% 43.38/43.64 cnf(matrix-5933, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u12713, _u12714), _u12715), _u12716) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12713, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), _u12715), hAPP(hAPP(c_COMBS(_u12713, tc_fun(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12714, tc_HOL_Obool), tc_fun(tc_fun(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), _u12713), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), _u12716)), hAPP(hAPP(c_COMBC(_u12713, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12714, tc_fun(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), tc_fun(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), _u12713), c_COMBC(_u12714, tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12714, tc_prod(_u12713, _u12714)), tc_fun(_u12714, tc_fun(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool))), _u12713), hAPP(c_COMBB(tc_prod(_u12713, _u12714), tc_fun(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool), tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)), _u12714), c_Set_Oinsert(tc_prod(_u12713, _u12714)))), c_Product__Type_OPair(_u12713, _u12714)))), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12713, _u12714), tc_HOL_Obool)))))) )).
% 43.38/43.64 cnf(matrix-5934, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12717), _u12718)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12717, _u12717), tc_HOL_Obool)), _u12719), hAPP(hAPP(c_Product__Type_OSigma(_u12717, _u12717), _u12718), hAPP(c_COMBK(tc_fun(_u12717, tc_HOL_Obool), _u12717), _u12718)))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u12717, tc_HOL_Obool)), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u12717), _u12718), _u12719))) )).
% 43.38/43.64 cnf(matrix-5935, plain, ( ~class_Rings_Osemiring__0(_u12720) | ~c_Fun_Oinj__on(tc_prod(_u12721, _u12722), _u12720, hAPP(c_Product__Type_Oprod_Oprod__case(_u12721, _u12722, _u12720), hAPP(hAPP(c_COMBC(_u12721, tc_fun(_u12722, _u12720), tc_fun(_u12722, _u12720)), hAPP(hAPP(c_COMBB(tc_fun(_u12720, _u12720), tc_fun(tc_fun(_u12722, _u12720), tc_fun(_u12722, _u12720)), _u12721), c_COMBB(_u12720, _u12720, _u12722)), hAPP(hAPP(c_COMBB(_u12720, tc_fun(_u12720, _u12720), _u12721), c_Groups_Otimes__class_Otimes(_u12720)), _u12723))), _u12724)), hAPP(hAPP(c_Product__Type_OSigma(_u12721, _u12722), _u12725), hAPP(c_COMBK(tc_fun(_u12722, tc_HOL_Obool), _u12721), _u12726))) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u12720), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12721, _u12720), _u12723), _u12725)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12722, _u12720), _u12724), _u12726)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12720, _u12720), c_Fun_Oid(_u12720)), hAPP(c_Set_OCollect(_u12720), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_HOL_Obool), tc_HOL_Obool, _u12720), c_HOL_OEx(_u12721)), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool)), tc_fun(_u12721, tc_HOL_Obool), _u12720), hAPP(c_COMBB(tc_fun(_u12722, tc_HOL_Obool), tc_HOL_Obool, _u12721), c_HOL_OEx(_u12722))), hAPP(hAPP(c_COMBC(_u12720, tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool)), tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_fun(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool))), tc_fun(tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool)), tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool))), _u12720), c_COMBS(_u12721, tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_fun(_u12722, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u12721, tc_fun(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool))), _u12720), hAPP(c_COMBB(tc_fun(_u12722, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool)), _u12721), c_COMBS(_u12722, tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool)), tc_fun(_u12721, tc_fun(_u12722, tc_fun(tc_HOL_Obool, tc_HOL_Obool))), _u12720), hAPP(c_COMBB(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u12721), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12722), c_fconj))), hAPP(hAPP(c_COMBC(_u12720, tc_fun(_u12721, tc_fun(_u12722, _u12720)), tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u12722, _u12720), tc_fun(_u12722, tc_HOL_Obool)), tc_fun(tc_fun(_u12721, tc_fun(_u12722, _u12720)), tc_fun(_u12721, tc_fun(_u12722, tc_HOL_Obool))), _u12720), c_COMBB(tc_fun(_u12722, _u12720), tc_fun(_u12722, tc_HOL_Obool), _u12721)), hAPP(hAPP(c_COMBB(tc_fun(_u12720, tc_HOL_Obool), tc_fun(tc_fun(_u12722, _u12720), tc_fun(_u12722, tc_HOL_Obool)), _u12720), c_COMBB(_u12720, tc_HOL_Obool, _u12722)), c_fequal))), hAPP(hAPP(c_COMBC(_u12721, tc_fun(_u12722, _u12720), tc_fun(_u12722, _u12720)), hAPP(hAPP(c_COMBB(tc_fun(_u12720, _u12720), tc_fun(tc_fun(_u12722, _u12720), tc_fun(_u12722, _u12720)), _u12721), c_COMBB(_u12720, _u12720, _u12722)), hAPP(hAPP(c_COMBB(_u12720, tc_fun(_u12720, _u12720), _u12721), c_Groups_Otimes__class_Otimes(_u12720)), _u12723))), _u12724)))))), hAPP(hAPP(c_COMBC(_u12721, tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12722, tc_HOL_Obool), tc_fun(_u12722, tc_HOL_Obool)), _u12721), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12722)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12721), c_fconj), hAPP(hAPP(c_COMBC(_u12721, tc_fun(_u12721, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12721)), _u12725)))), hAPP(hAPP(c_COMBC(_u12722, tc_fun(_u12722, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12722)), _u12726)))))))) )).
% 43.38/43.64 cnf(matrix-5936, plain, ( c_Fun_Oinj__on(_u12728, tc_prod(_u12729, _u12728), skolem304(_u12731, _u12730, _u12729, _u12728), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12729, tc_fun(_u12728, tc_HOL_Obool)), _u12730), _u12731)) )).
% 43.38/43.64 cnf(matrix-5937, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12729, _u12728), tc_HOL_Obool)), hAPP(c_Set_Oimage(_u12728, tc_prod(_u12729, _u12728), skolem304(_u12731, _u12730, _u12729, _u12728)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u12729, tc_fun(_u12728, tc_HOL_Obool)), _u12730), _u12731))), hAPP(hAPP(c_Product__Type_OSigma(_u12729, _u12728), _u12730), _u12731))) )).
% 43.38/43.64 cnf(matrix-5938, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12735)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12733, _u12734, c_Groups_Otimes__class_Otimes(_u12733)), hAPP(hAPP(c_COMBS(_u12734, tc_fun(_u12736, tc_HOL_Obool), _u12733), hAPP(hAPP(c_COMBC(_u12734, _u12733, tc_fun(tc_fun(_u12736, tc_HOL_Obool), _u12733)), hAPP(hAPP(c_COMBB(tc_fun(_u12736, _u12733), tc_fun(_u12733, tc_fun(tc_fun(_u12736, tc_HOL_Obool), _u12733)), _u12734), c_Finite__Set_Ofold__image(_u12733, _u12736, c_Groups_Otimes__class_Otimes(_u12733))), _u12738)), c_Groups_Oone__class_Oone(_u12733))), _u12737)), c_Groups_Oone__class_Oone(_u12733)), _u12735) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12733, tc_prod(_u12734, _u12736), c_Groups_Otimes__class_Otimes(_u12733)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12734, _u12736, _u12733), _u12738)), c_Groups_Oone__class_Oone(_u12733)), hAPP(hAPP(c_Product__Type_OSigma(_u12734, _u12736), _u12735), _u12737))) | hBOOL(hAPP(hAPP(c_member(_u12734), skolem305(_u12738, _u12737, _u12736, _u12735, _u12734, _u12733)), _u12735)) )).
% 43.38/43.64 cnf(matrix-5939, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12733) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12734), _u12735)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12733, _u12734, c_Groups_Otimes__class_Otimes(_u12733)), hAPP(hAPP(c_COMBS(_u12734, tc_fun(_u12736, tc_HOL_Obool), _u12733), hAPP(hAPP(c_COMBC(_u12734, _u12733, tc_fun(tc_fun(_u12736, tc_HOL_Obool), _u12733)), hAPP(hAPP(c_COMBB(tc_fun(_u12736, _u12733), tc_fun(_u12733, tc_fun(tc_fun(_u12736, tc_HOL_Obool), _u12733)), _u12734), c_Finite__Set_Ofold__image(_u12733, _u12736, c_Groups_Otimes__class_Otimes(_u12733))), _u12738)), c_Groups_Oone__class_Oone(_u12733))), _u12737)), c_Groups_Oone__class_Oone(_u12733)), _u12735) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u12733, tc_prod(_u12734, _u12736), c_Groups_Otimes__class_Otimes(_u12733)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12734, _u12736, _u12733), _u12738)), c_Groups_Oone__class_Oone(_u12733)), hAPP(hAPP(c_Product__Type_OSigma(_u12734, _u12736), _u12735), _u12737))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12736), hAPP(_u12737, skolem305(_u12738, _u12737, _u12736, _u12735, _u12734, _u12733)))) )).
% 43.38/43.64 cnf(matrix-5940, plain, ( ( hAPP(c_Set_Oimage(_u12739, _u12739, c_Fun_Oid(_u12739)), _u12740) = _u12740) )).
% 43.38/43.64 cnf(matrix-5941, plain, ( ( c_Product__Type_Oapsnd(_u12741, _u12741, _u12742, c_Fun_Oid(_u12741)) = c_Fun_Oid(tc_prod(_u12742, _u12741))) )).
% 43.38/43.64 cnf(matrix-5942, plain, ( ( hAPP(c_Fun_Oid(_u12743), _u12744) = _u12744) )).
% 43.38/43.64 cnf(matrix-5943, plain, ( ( hAPP(c_Set_Ovimage(_u12745, _u12745, c_Fun_Oid(_u12745)), _u12746) = _u12746) )).
% 43.38/43.64 cnf(matrix-5944, plain, ( ( hAPP(c_Fun_Oid(_u12747), _u12748) = _u12748) )).
% 43.38/43.64 cnf(matrix-5945, plain, ( c_Fun_Oinj__on(_u12749, _u12749, c_Fun_Oid(_u12749), _u12750) )).
% 43.38/43.64 cnf(matrix-5946, plain, ( ( c_Product__Type_Oapfst(_u12751, _u12751, _u12752, c_Fun_Oid(_u12751)) = c_Fun_Oid(tc_prod(_u12751, _u12752))) )).
% 43.38/43.64 cnf(matrix-5947, plain, ( ( c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint)) )).
% 43.38/43.64 cnf(matrix-5948, plain, ( ( hAPP(c_Set_Oimage(_u12753, _u12753, c_Fun_Oid(_u12753)), c_Orderings_Otop__class_Otop(tc_fun(_u12753, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u12753, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5949, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u12754, _u12755, tc_prod(_u12754, _u12755)), c_Product__Type_OPair(_u12754, _u12755)) = c_Fun_Oid(tc_prod(_u12754, _u12755))) )).
% 43.38/43.64 cnf(matrix-5950, plain, ( ~class_Groups_Ocomm__monoid__add(_u12756) | ~c_Fun_Oinj__on(_u12757, _u12756, _u12758, _u12759) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12757, _u12756), _u12758), _u12759) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12756, _u12756), c_Fun_Oid(_u12756)), hAPP(c_Set_Oimage(_u12757, _u12756, _u12758), _u12759))) )).
% 43.38/43.64 cnf(matrix-5951, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12760) | ~c_Fun_Oinj__on(_u12761, _u12760, _u12762, _u12763) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12761, _u12760), _u12762), _u12763) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12760, _u12760), c_Fun_Oid(_u12760)), hAPP(c_Set_Oimage(_u12761, _u12760, _u12762), _u12763))) )).
% 43.38/43.64 cnf(matrix-5952, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), _u12767)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12766, _u12765), hAPP(hAPP(c_COMBS(_u12766, tc_fun(_u12768, tc_HOL_Obool), _u12765), hAPP(hAPP(c_COMBB(tc_fun(_u12768, _u12765), tc_fun(tc_fun(_u12768, tc_HOL_Obool), _u12765), _u12766), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12768, _u12765)), _u12770)), _u12769)), _u12767) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12766, _u12768), _u12765), hAPP(c_Product__Type_Oprod_Oprod__case(_u12766, _u12768, _u12765), _u12770)), hAPP(hAPP(c_Product__Type_OSigma(_u12766, _u12768), _u12767), _u12769))) | hBOOL(hAPP(hAPP(c_member(_u12766), skolem306(_u12770, _u12769, _u12768, _u12767, _u12766, _u12765)), _u12767)) )).
% 43.38/43.64 cnf(matrix-5953, plain, ( ~class_Groups_Ocomm__monoid__mult(_u12765) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12766), _u12767)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12766, _u12765), hAPP(hAPP(c_COMBS(_u12766, tc_fun(_u12768, tc_HOL_Obool), _u12765), hAPP(hAPP(c_COMBB(tc_fun(_u12768, _u12765), tc_fun(tc_fun(_u12768, tc_HOL_Obool), _u12765), _u12766), c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u12768, _u12765)), _u12770)), _u12769)), _u12767) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(_u12766, _u12768), _u12765), hAPP(c_Product__Type_Oprod_Oprod__case(_u12766, _u12768, _u12765), _u12770)), hAPP(hAPP(c_Product__Type_OSigma(_u12766, _u12768), _u12767), _u12769))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12768), hAPP(_u12769, skolem306(_u12770, _u12769, _u12768, _u12767, _u12766, _u12765)))) )).
% 43.38/43.64 cnf(matrix-5954, plain, ( ~class_Groups_Ocomm__monoid__add(_u12772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12773), _u12774)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12773, _u12772), hAPP(hAPP(c_COMBS(_u12773, tc_fun(_u12775, tc_HOL_Obool), _u12772), hAPP(hAPP(c_COMBB(tc_fun(_u12775, _u12772), tc_fun(tc_fun(_u12775, tc_HOL_Obool), _u12772), _u12773), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12775, _u12772)), _u12777)), _u12776)), _u12774) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12773, _u12775), _u12772), hAPP(c_Product__Type_Oprod_Oprod__case(_u12773, _u12775, _u12772), _u12777)), hAPP(hAPP(c_Product__Type_OSigma(_u12773, _u12775), _u12774), _u12776))) | hBOOL(hAPP(hAPP(c_member(_u12773), skolem307(_u12777, _u12776, _u12775, _u12774, _u12773, _u12772)), _u12774)) )).
% 43.38/43.64 cnf(matrix-5955, plain, ( ~class_Groups_Ocomm__monoid__add(_u12772) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12773), _u12774)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12773, _u12772), hAPP(hAPP(c_COMBS(_u12773, tc_fun(_u12775, tc_HOL_Obool), _u12772), hAPP(hAPP(c_COMBB(tc_fun(_u12775, _u12772), tc_fun(tc_fun(_u12775, tc_HOL_Obool), _u12772), _u12773), c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12775, _u12772)), _u12777)), _u12776)), _u12774) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_prod(_u12773, _u12775), _u12772), hAPP(c_Product__Type_Oprod_Oprod__case(_u12773, _u12775, _u12772), _u12777)), hAPP(hAPP(c_Product__Type_OSigma(_u12773, _u12775), _u12774), _u12776))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12775), hAPP(_u12776, skolem307(_u12777, _u12776, _u12775, _u12774, _u12773, _u12772)))) )).
% 43.38/43.64 cnf(matrix-5956, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12779), _u12780)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12779, _u12781)), hAPP(hAPP(c_Product__Type_OSigma(_u12779, _u12781), _u12780), _u12782)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12781, tc_HOL_Obool), tc_Nat_Onat, _u12779), c_Finite__Set_Ocard(_u12781)), _u12782)), _u12780)) | hBOOL(hAPP(hAPP(c_member(_u12779), skolem308(_u12782, _u12781, _u12780, _u12779)), _u12780)) )).
% 43.38/43.64 cnf(matrix-5957, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12779), _u12780)) | ( hAPP(c_Finite__Set_Ocard(tc_prod(_u12779, _u12781)), hAPP(hAPP(c_Product__Type_OSigma(_u12779, _u12781), _u12780), _u12782)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u12779, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_fun(_u12781, tc_HOL_Obool), tc_Nat_Onat, _u12779), c_Finite__Set_Ocard(_u12781)), _u12782)), _u12780)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12781), hAPP(_u12782, skolem308(_u12782, _u12781, _u12780, _u12779)))) )).
% 43.38/43.64 cnf(matrix-5958, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12784), _u12785)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12784, _u12786)), hAPP(hAPP(c_Product__Type_OSigma(_u12784, _u12786), _u12785), _u12787))) | hBOOL(hAPP(hAPP(c_member(_u12784), skolem309(_u12787, _u12786, _u12785, _u12784)), _u12785)) )).
% 43.38/43.64 cnf(matrix-5959, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12784), _u12785)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12784, _u12786)), hAPP(hAPP(c_Product__Type_OSigma(_u12784, _u12786), _u12785), _u12787))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u12786), hAPP(_u12787, skolem309(_u12787, _u12786, _u12785, _u12784)))) )).
% 43.38/43.64 cnf(matrix-5960, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12791)), _u12792), hAPP(hAPP(c_Product__Type_OSigma(_u12790, _u12791), _u12793), _u12794))) | hBOOL(hAPP(hAPP(c_member(_u12790), skolem310(_u12794, _u12793, _u12792, _u12791, _u12790)), _u12793)) )).
% 43.38/43.64 cnf(matrix-5961, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12791)), _u12792), hAPP(hAPP(c_Product__Type_OSigma(_u12790, _u12791), _u12793), _u12794))) | hBOOL(hAPP(hAPP(c_member(_u12791), skolem311(_u12794, _u12793, _u12792, _u12791, _u12790)), hAPP(_u12794, skolem310(_u12794, _u12793, _u12792, _u12791, _u12790)))) )).
% 43.38/43.64 cnf(matrix-5962, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12790, _u12791)), _u12792), hAPP(hAPP(c_Product__Type_OSigma(_u12790, _u12791), _u12793), _u12794))) | ( _u12792 = hAPP(hAPP(c_Product__Type_OPair(_u12790, _u12791), skolem310(_u12794, _u12793, _u12792, _u12791, _u12790)), skolem311(_u12794, _u12793, _u12792, _u12791, _u12790))) )).
% 43.38/43.64 cnf(matrix-5963, plain, ( ( hAPP(c_Set_Oimage(_u12795, _u12796, _u12797), c_Orderings_Otop__class_Otop(tc_fun(_u12795, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12796, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u12798, _u12799, _u12800), c_Orderings_Otop__class_Otop(tc_fun(_u12798, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u12799, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(tc_prod(_u12795, _u12798), tc_prod(_u12796, _u12799), c_Product__Type_Omap__pair(_u12795, _u12796, _u12798, _u12799, _u12797, _u12800)), c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12795, _u12798), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_prod(_u12796, _u12799), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5964, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12801, _u12802)), hAPP(hAPP(c_Product__Type_OPair(_u12801, _u12802), _u12803), _u12804)), _u12805)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12806, _u12807)), hAPP(hAPP(c_Product__Type_OPair(_u12806, _u12807), hAPP(_u12808, _u12803)), hAPP(_u12809, _u12804))), hAPP(c_Set_Oimage(tc_prod(_u12801, _u12802), tc_prod(_u12806, _u12807), c_Product__Type_Omap__pair(_u12801, _u12806, _u12802, _u12807, _u12808, _u12809)), _u12805))) )).
% 43.38/43.64 cnf(matrix-5965, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u12810, _u12811, _u12812, _u12813, _u12814, _u12815), hAPP(hAPP(c_Product__Type_OPair(_u12810, _u12812), _u12816), _u12817)) = hAPP(hAPP(c_Product__Type_OPair(_u12811, _u12813), hAPP(_u12814, _u12816)), hAPP(_u12815, _u12817))) )).
% 43.38/43.64 cnf(matrix-5966, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u12818, _u12818, _u12819, _u12819, c_COMBI(_u12818), c_COMBI(_u12819)), _u12820) = _u12820) )).
% 43.38/43.64 cnf(matrix-5967, plain, ( ( hAPP(c_Product__Type_Osnd(_u12821, _u12822), hAPP(c_Product__Type_Omap__pair(_u12823, _u12821, _u12824, _u12822, _u12825, _u12826), _u12827)) = hAPP(_u12826, hAPP(c_Product__Type_Osnd(_u12823, _u12824), _u12827))) )).
% 43.38/43.64 cnf(matrix-5968, plain, ( ( hAPP(c_Product__Type_Ofst(_u12828, _u12829), hAPP(c_Product__Type_Omap__pair(_u12830, _u12828, _u12831, _u12829, _u12832, _u12833), _u12834)) = hAPP(_u12832, hAPP(c_Product__Type_Ofst(_u12830, _u12831), _u12834))) )).
% 43.38/43.64 cnf(matrix-5969, plain, ( ( c_Product__Type_Omap__pair(_u12835, _u12835, _u12836, _u12836, c_COMBI(_u12835), c_COMBI(_u12836)) = c_Fun_Oid(tc_prod(_u12835, _u12836))) )).
% 43.38/43.64 cnf(matrix-5970, plain, ( ( c_Product__Type_Oapsnd(_u12837, _u12838, _u12839, _u12840) = c_Product__Type_Omap__pair(_u12839, _u12839, _u12837, _u12838, c_Fun_Oid(_u12839), _u12840)) )).
% 43.38/43.64 cnf(matrix-5971, plain, ( ( c_Product__Type_Oapfst(_u12841, _u12842, _u12843, _u12844) = c_Product__Type_Omap__pair(_u12841, _u12842, _u12843, _u12843, _u12844, c_Fun_Oid(_u12843))) )).
% 43.38/43.64 cnf(matrix-5972, plain, ( ( c_Product__Type_Omap__pair(_u12845, _u12845, _u12846, _u12846, c_Fun_Oid(_u12845), c_Fun_Oid(_u12846)) = c_Fun_Oid(tc_prod(_u12845, _u12846))) )).
% 43.38/43.64 cnf(matrix-5973, plain, ( ( c_Product__Type_Omap__pair(_u12847, _u12848, _u12849, _u12850, _u12851, _u12852) = hAPP(c_Product__Type_Oprod_Oprod__case(_u12847, _u12849, tc_prod(_u12848, _u12850)), hAPP(hAPP(c_COMBC(_u12847, tc_fun(_u12849, _u12850), tc_fun(_u12849, tc_prod(_u12848, _u12850))), hAPP(hAPP(c_COMBB(tc_fun(_u12850, tc_prod(_u12848, _u12850)), tc_fun(tc_fun(_u12849, _u12850), tc_fun(_u12849, tc_prod(_u12848, _u12850))), _u12847), c_COMBB(_u12850, tc_prod(_u12848, _u12850), _u12849)), hAPP(hAPP(c_COMBB(_u12848, tc_fun(_u12850, tc_prod(_u12848, _u12850)), _u12847), c_Product__Type_OPair(_u12848, _u12850)), _u12851))), _u12852))) )).
% 43.38/43.64 cnf(matrix-5974, plain, ( ( hAPP(c_Set_Oimage(_u12853, _u12854, _u12855), _u12856) != _u12857) | ( hAPP(c_Set_Oimage(_u12858, _u12859, _u12860), _u12861) != _u12862) | ( hAPP(c_Set_Oimage(tc_prod(_u12853, _u12858), tc_prod(_u12854, _u12859), c_Product__Type_Omap__pair(_u12853, _u12854, _u12858, _u12859, _u12855, _u12860)), hAPP(hAPP(c_Product__Type_OSigma(_u12853, _u12858), _u12856), hAPP(c_COMBK(tc_fun(_u12858, tc_HOL_Obool), _u12853), _u12861))) = hAPP(hAPP(c_Product__Type_OSigma(_u12854, _u12859), _u12857), hAPP(c_COMBK(tc_fun(_u12859, tc_HOL_Obool), _u12854), _u12862))) )).
% 43.38/43.64 cnf(matrix-5975, plain, ( ~c_Wellfounded_Owf(_u12863, _u12864) | ~c_Fun_Oinj__on(_u12863, _u12865, _u12866, c_Orderings_Otop__class_Otop(tc_fun(_u12863, tc_HOL_Obool))) | c_Wellfounded_Owf(_u12865, hAPP(c_Set_Oimage(tc_prod(_u12863, _u12863), tc_prod(_u12865, _u12865), c_Product__Type_Omap__pair(_u12863, _u12865, _u12863, _u12865, _u12866, _u12866)), _u12864)) )).
% 43.38/43.64 cnf(matrix-5976, plain, ( ~c_Fun_Oinj__on(_u12867, _u12868, _u12869, _u12870) | ~c_Fun_Oinj__on(_u12871, _u12872, _u12873, _u12874) | c_Fun_Oinj__on(tc_prod(_u12867, _u12871), tc_prod(_u12868, _u12872), c_Product__Type_Omap__pair(_u12867, _u12868, _u12871, _u12872, _u12869, _u12873), hAPP(hAPP(c_Product__Type_OSigma(_u12867, _u12871), _u12870), hAPP(c_COMBK(tc_fun(_u12871, tc_HOL_Obool), _u12867), _u12874))) )).
% 43.38/43.64 cnf(matrix-5977, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12877, _u12878)), _u12879), hAPP(c_Set_Oimage(tc_prod(_u12880, _u12881), tc_prod(_u12877, _u12878), c_Product__Type_Omap__pair(_u12880, _u12877, _u12881, _u12878, _u12882, _u12883)), _u12884))) | ( _u12879 = hAPP(hAPP(c_Product__Type_OPair(_u12877, _u12878), hAPP(_u12882, skolem312(_u12884, _u12883, _u12882, _u12881, _u12880, _u12879, _u12878, _u12877))), hAPP(_u12883, skolem313(_u12884, _u12883, _u12882, _u12881, _u12880, _u12879, _u12878, _u12877)))) )).
% 43.38/43.64 cnf(matrix-5978, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12877, _u12878)), _u12879), hAPP(c_Set_Oimage(tc_prod(_u12880, _u12881), tc_prod(_u12877, _u12878), c_Product__Type_Omap__pair(_u12880, _u12877, _u12881, _u12878, _u12882, _u12883)), _u12884))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12880, _u12881)), hAPP(hAPP(c_Product__Type_OPair(_u12880, _u12881), skolem312(_u12884, _u12883, _u12882, _u12881, _u12880, _u12879, _u12878, _u12877)), skolem313(_u12884, _u12883, _u12882, _u12881, _u12880, _u12879, _u12878, _u12877))), _u12884)) )).
% 43.38/43.64 cnf(matrix-5979, plain, ( ~c_Relation_Orefl__on(_u12890, _u12892, _u12894) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12890, _u12890), tc_HOL_Obool)), _u12894), hAPP(hAPP(c_Product__Type_OSigma(_u12890, _u12890), _u12892), hAPP(c_COMBK(tc_fun(_u12890, tc_HOL_Obool), _u12890), _u12892)))) )).
% 43.38/43.64 cnf(matrix-5980, plain, ( ~c_Relation_Orefl__on(_u12890, _u12892, _u12894) | ~hBOOL(hAPP(hAPP(c_member(_u12890), _u12885), _u12892)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12890, _u12890)), hAPP(hAPP(c_Product__Type_OPair(_u12890, _u12890), _u12885), _u12885)), _u12894)) )).
% 43.38/43.64 cnf(matrix-5981, plain, ( c_Relation_Orefl__on(_u12891, _u12893, _u12895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12891, _u12891), tc_HOL_Obool)), _u12895), hAPP(hAPP(c_Product__Type_OSigma(_u12891, _u12891), _u12893), hAPP(c_COMBK(tc_fun(_u12891, tc_HOL_Obool), _u12891), _u12893)))) | hBOOL(hAPP(hAPP(c_member(_u12891), skolem314(_u12895, _u12893, _u12891)), _u12893)) )).
% 43.38/43.64 cnf(matrix-5982, plain, ( c_Relation_Orefl__on(_u12891, _u12893, _u12895) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12891, _u12891), tc_HOL_Obool)), _u12895), hAPP(hAPP(c_Product__Type_OSigma(_u12891, _u12891), _u12893), hAPP(c_COMBK(tc_fun(_u12891, tc_HOL_Obool), _u12891), _u12893)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12891, _u12891)), hAPP(hAPP(c_Product__Type_OPair(_u12891, _u12891), skolem314(_u12895, _u12893, _u12891)), skolem314(_u12895, _u12893, _u12891))), _u12895)) )).
% 43.38/43.64 cnf(matrix-5983, plain, ( ~c_Wellfounded_OwfP(_u12898, _u12900) | c_Wellfounded_Owf(_u12898, hAPP(c_Set_OCollect(tc_prod(_u12898, _u12898)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12898, _u12898, tc_HOL_Obool), _u12900))) )).
% 43.38/43.64 cnf(matrix-5984, plain, ( ~c_Wellfounded_Owf(_u12899, hAPP(c_Set_OCollect(tc_prod(_u12899, _u12899)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12899, _u12899, tc_HOL_Obool), _u12901))) | c_Wellfounded_OwfP(_u12899, _u12901) )).
% 43.38/43.64 cnf(matrix-5985, plain, ( c_Wellfounded_OwfP(_u12902, hAPP(c_COMBK(tc_fun(_u12902, tc_HOL_Obool), _u12902), hAPP(c_COMBK(tc_HOL_Obool, _u12902), c_fFalse))) )).
% 43.38/43.64 cnf(matrix-5986, plain, ( c_Relation_Orefl__on(_u12903, _u12904, c_Relation_OId__on(_u12903, _u12904)) )).
% 43.38/43.64 cnf(matrix-5987, plain, ( ~c_Wellfounded_OwfP(_u12909, _u12911) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12909, _u12911), _u12905)) )).
% 43.38/43.64 cnf(matrix-5988, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(_u12910, _u12912), skolem315(_u12912, _u12910))) | c_Wellfounded_OwfP(_u12910, _u12912) )).
% 43.38/43.64 cnf(matrix-5989, plain, ( ~c_Wellfounded_OwfP(_u12913, _u12914) | hBOOL(hAPP(c_Wellfounded_Oaccp(_u12913, _u12914), _u12915)) )).
% 43.38/43.64 cnf(matrix-5990, plain, ( ~c_Wellfounded_OwfP(_u12916, _u12917) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u12916, tc_fun(_u12916, tc_HOL_Obool))), _u12918), _u12917)) | c_Wellfounded_OwfP(_u12916, _u12918) )).
% 43.38/43.64 cnf(matrix-5991, plain, ( c_Relation_Orefl__on(_u12919, c_Orderings_Obot__class_Obot(tc_fun(_u12919, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u12919, _u12919), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-5992, plain, ( ~c_Relation_Orefl__on(_u12920, _u12921, _u12922) | ~c_Relation_Orefl__on(_u12920, _u12923, _u12924) | c_Relation_Orefl__on(_u12920, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u12920, tc_HOL_Obool)), _u12921), _u12923), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u12920, _u12920), tc_HOL_Obool)), _u12922), _u12924)) )).
% 43.38/43.64 cnf(matrix-5993, plain, ( ~c_Relation_Orefl__on(_u12925, _u12926, _u12927) | ~c_Relation_Orefl__on(_u12925, _u12928, _u12929) | c_Relation_Orefl__on(_u12925, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u12925, tc_HOL_Obool)), _u12926), _u12928), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u12925, _u12925), tc_HOL_Obool)), _u12927), _u12929)) )).
% 43.38/43.64 cnf(matrix-5994, plain, ( ~c_Relation_Orefl__on(_u12930, _u12931, _u12932) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12930, _u12930)), hAPP(hAPP(c_Product__Type_OPair(_u12930, _u12930), _u12933), _u12934)), _u12932)) | hBOOL(hAPP(hAPP(c_member(_u12930), _u12934), _u12931)) )).
% 43.38/43.64 cnf(matrix-5995, plain, ( ~c_Relation_Orefl__on(_u12935, _u12936, _u12937) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12935, _u12935)), hAPP(hAPP(c_Product__Type_OPair(_u12935, _u12935), _u12938), _u12939)), _u12937)) | hBOOL(hAPP(hAPP(c_member(_u12935), _u12938), _u12936)) )).
% 43.38/43.64 cnf(matrix-5996, plain, ( ~c_Relation_Orefl__on(_u12940, _u12941, _u12942) | ~hBOOL(hAPP(hAPP(c_member(_u12940), _u12943), _u12941)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12940, _u12940)), hAPP(hAPP(c_Product__Type_OPair(_u12940, _u12940), _u12943), _u12943)), _u12942)) )).
% 43.38/43.64 cnf(matrix-5997, plain, ( ~c_Wellfounded_Owf(_u12944, _u12945) | c_Wellfounded_OwfP(_u12944, c_FunDef_Oin__rel(_u12944, _u12944, _u12945)) )).
% 43.38/43.64 cnf(matrix-5998, plain, ( ~c_Wellfounded_OwfP(_u12948, hAPP(hAPP(c_COMBC(_u12948, tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_fun(_u12948, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_fun(tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_fun(_u12948, tc_HOL_Obool)), _u12948), c_COMBC(_u12948, tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12948, tc_prod(_u12948, _u12948)), tc_fun(_u12948, tc_fun(tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_HOL_Obool)), _u12948), hAPP(c_COMBB(tc_prod(_u12948, _u12948), tc_fun(tc_fun(tc_prod(_u12948, _u12948), tc_HOL_Obool), tc_HOL_Obool), _u12948), c_member(tc_prod(_u12948, _u12948)))), c_Product__Type_OPair(_u12948, _u12948)))), _u12950)) | c_Wellfounded_Owf(_u12948, _u12950) )).
% 43.38/43.64 cnf(matrix-5999, plain, ( ~c_Wellfounded_Owf(_u12949, _u12951) | c_Wellfounded_OwfP(_u12949, hAPP(hAPP(c_COMBC(_u12949, tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_fun(_u12949, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12949, tc_fun(tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_fun(_u12949, tc_HOL_Obool)), _u12949), c_COMBC(_u12949, tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u12949, tc_prod(_u12949, _u12949)), tc_fun(_u12949, tc_fun(tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_HOL_Obool)), _u12949), hAPP(c_COMBB(tc_prod(_u12949, _u12949), tc_fun(tc_fun(tc_prod(_u12949, _u12949), tc_HOL_Obool), tc_HOL_Obool), _u12949), c_member(tc_prod(_u12949, _u12949)))), c_Product__Type_OPair(_u12949, _u12949)))), _u12951)) )).
% 43.38/43.64 cnf(matrix-6000, plain, ( ~c_Predicate_Oreflp(_u12954, _u12956) | c_Relation_Orefl__on(_u12954, c_Orderings_Otop__class_Otop(tc_fun(_u12954, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12954, _u12954)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12954, _u12954, tc_HOL_Obool), _u12956))) )).
% 43.38/43.64 cnf(matrix-6001, plain, ( ~c_Relation_Orefl__on(_u12955, c_Orderings_Otop__class_Otop(tc_fun(_u12955, tc_HOL_Obool)), hAPP(c_Set_OCollect(tc_prod(_u12955, _u12955)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12955, _u12955, tc_HOL_Obool), _u12957))) | c_Predicate_Oreflp(_u12955, _u12957) )).
% 43.38/43.64 cnf(matrix-6002, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12959, _u12959), tc_HOL_Obool)), _u12960), hAPP(hAPP(c_Product__Type_OSigma(_u12959, _u12959), _u12961), hAPP(c_COMBK(tc_fun(_u12959, tc_HOL_Obool), _u12959), _u12961)))) | c_Relation_Orefl__on(_u12959, _u12961, _u12960) | hBOOL(hAPP(hAPP(c_member(_u12959), skolem316(_u12961, _u12960, _u12959)), _u12961)) )).
% 43.38/43.64 cnf(matrix-6003, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12959, _u12959), tc_HOL_Obool)), _u12960), hAPP(hAPP(c_Product__Type_OSigma(_u12959, _u12959), _u12961), hAPP(c_COMBK(tc_fun(_u12959, tc_HOL_Obool), _u12959), _u12961)))) | c_Relation_Orefl__on(_u12959, _u12961, _u12960) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12959, _u12959)), hAPP(hAPP(c_Product__Type_OPair(_u12959, _u12959), skolem316(_u12961, _u12960, _u12959)), skolem316(_u12961, _u12960, _u12959))), _u12960)) )).
% 43.38/43.64 cnf(matrix-6004, plain, ( ~c_Wellfounded_OwfP(_u12962, _u12963) | c_Wellfounded_Oacyclic(_u12962, hAPP(c_Set_OCollect(tc_prod(_u12962, _u12962)), hAPP(c_Product__Type_Oprod_Oprod__case(_u12962, _u12962, tc_HOL_Obool), _u12963))) )).
% 43.38/43.64 cnf(matrix-6005, plain, ( ~c_Wellfounded_Owf(_u12964, _u12965) | c_Wellfounded_Oacyclic(_u12964, _u12965) )).
% 43.38/43.64 cnf(matrix-6006, plain, ( hBOOL(hAPP(hAPP(_u12967, _u12968), _u12968)) | ~c_Predicate_Oreflp(_u12966, _u12967) )).
% 43.38/43.64 cnf(matrix-6007, plain, ( ~c_Wellfounded_Oacyclic(_u12969, _u12970) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u12969, _u12969), tc_HOL_Obool)), _u12971), _u12970)) | c_Wellfounded_Oacyclic(_u12969, _u12971) )).
% 43.38/43.64 cnf(matrix-6008, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12972, _u12972)), _u12973)) | ~c_Wellfounded_Oacyclic(_u12972, _u12973) | c_Wellfounded_Owf(_u12972, _u12973) )).
% 43.38/43.64 cnf(matrix-6009, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12974, _u12974)), _u12975)) | ~c_Wellfounded_Owf(_u12974, _u12975) | c_Wellfounded_Oacyclic(_u12974, _u12975) )).
% 43.38/43.64 cnf(matrix-6010, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12974, _u12974)), _u12975)) | ~c_Wellfounded_Oacyclic(_u12974, _u12975) | c_Wellfounded_Owf(_u12974, _u12975) )).
% 43.38/43.64 cnf(matrix-6011, plain, ( ~c_Nitpick_Owf_H(_u12978, _u12980) | c_Wellfounded_Oacyclic(_u12978, _u12980) )).
% 43.38/43.64 cnf(matrix-6012, plain, ( ~c_Nitpick_Owf_H(_u12978, _u12980) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12978, _u12978)), _u12980)) | c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 43.38/43.64 cnf(matrix-6013, plain, ( c_Nitpick_Owf_H(_u12979, _u12981) | ~c_Wellfounded_Oacyclic(_u12979, _u12981) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u12979, _u12979)), _u12981)) )).
% 43.38/43.64 cnf(matrix-6014, plain, ( c_Nitpick_Owf_H(_u12979, _u12981) | ~c_Wellfounded_Oacyclic(_u12979, _u12981) | ~c_Nitpick_Ounknown(tc_HOL_Obool) )).
% 43.38/43.64 cnf(matrix-6015, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12983), c_Int_OInteg)) | ~hBOOL(hAPP(_u12984, hAPP(c_Int_ORep__Integ, skolem317(_u12984, _u12983)))) | hBOOL(hAPP(_u12984, _u12983)) )).
% 43.38/43.64 cnf(matrix-6016, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), _u12986), c_Int_OInteg)) | ( _u12986 = hAPP(c_Int_ORep__Integ, skolem318(_u12986))) )).
% 43.38/43.64 cnf(matrix-6017, plain, ( ~c_Relation_Orefl__on(_u12994, _u12996, _u12998) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12994, _u12994)), _u12987), _u12998)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12994, _u12994, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12994, tc_fun(_u12994, tc_HOL_Obool), tc_fun(_u12994, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12994, tc_HOL_Obool), tc_fun(_u12994, tc_HOL_Obool)), _u12994), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12994)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12994), c_fconj), hAPP(hAPP(c_COMBC(_u12994, tc_fun(_u12994, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12994)), _u12996)))), hAPP(hAPP(c_COMBC(_u12994, tc_fun(_u12994, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12994)), _u12996))), _u12987)) )).
% 43.38/43.64 cnf(matrix-6018, plain, ( ~c_Relation_Orefl__on(_u12994, _u12996, _u12998) | ~hBOOL(hAPP(hAPP(c_member(_u12994), _u12988), _u12996)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12994, _u12994)), hAPP(hAPP(c_Product__Type_OPair(_u12994, _u12994), _u12988), _u12988)), _u12998)) )).
% 43.38/43.64 cnf(matrix-6019, plain, ( c_Relation_Orefl__on(_u12995, _u12997, _u12999) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12995, _u12995)), skolem319(_u12999, _u12997, _u12995)), _u12999)) | hBOOL(hAPP(hAPP(c_member(_u12995), skolem320(_u12999, _u12997, _u12995)), _u12997)) )).
% 43.38/43.64 cnf(matrix-6020, plain, ( c_Relation_Orefl__on(_u12995, _u12997, _u12999) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u12995, _u12995)), skolem319(_u12999, _u12997, _u12995)), _u12999)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12995, _u12995)), hAPP(hAPP(c_Product__Type_OPair(_u12995, _u12995), skolem320(_u12999, _u12997, _u12995)), skolem320(_u12999, _u12997, _u12995))), _u12999)) )).
% 43.38/43.64 cnf(matrix-6021, plain, ( c_Relation_Orefl__on(_u12995, _u12997, _u12999) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12995, _u12995, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_fun(_u12995, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12995, tc_HOL_Obool), tc_fun(_u12995, tc_HOL_Obool)), _u12995), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12995)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12995), c_fconj), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12995)), _u12997)))), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12995)), _u12997))), skolem319(_u12999, _u12997, _u12995))) | hBOOL(hAPP(hAPP(c_member(_u12995), skolem320(_u12999, _u12997, _u12995)), _u12997)) )).
% 43.38/43.64 cnf(matrix-6022, plain, ( c_Relation_Orefl__on(_u12995, _u12997, _u12999) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u12995, _u12995, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_fun(_u12995, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u12995, tc_HOL_Obool), tc_fun(_u12995, tc_HOL_Obool)), _u12995), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u12995)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u12995), c_fconj), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12995)), _u12997)))), hAPP(hAPP(c_COMBC(_u12995, tc_fun(_u12995, tc_HOL_Obool), tc_HOL_Obool), c_member(_u12995)), _u12997))), skolem319(_u12999, _u12997, _u12995))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u12995, _u12995)), hAPP(hAPP(c_Product__Type_OPair(_u12995, _u12995), skolem320(_u12999, _u12997, _u12995)), skolem320(_u12999, _u12997, _u12995))), _u12999)) )).
% 43.38/43.64 cnf(matrix-6023, plain, ( hBOOL(hAPP(_u13001, _u13002)) | hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem321(_u13002, _u13001)), c_Int_OInteg)) )).
% 43.38/43.64 cnf(matrix-6024, plain, ( hBOOL(hAPP(_u13001, _u13002)) | ~hBOOL(hAPP(_u13001, hAPP(c_Int_OAbs__Integ, skolem321(_u13002, _u13001)))) )).
% 43.38/43.64 cnf(matrix-6025, plain, ( ( _u13004 = hAPP(c_Int_OAbs__Integ, skolem322(_u13004))) )).
% 43.38/43.64 cnf(matrix-6026, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat, tc_Nat_Onat), tc_HOL_Obool)), skolem322(_u13004)), c_Int_OInteg)) )).
% 43.38/43.64 cnf(matrix-6027, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13006), _u13005), c_Orderings_Obot__class_Obot(tc_fun(_u13006, tc_HOL_Obool)))) | hBOOL(hAPP(_u13007, _u13005)) )).
% 43.38/43.64 cnf(matrix-6028, plain, ( ~hBOOL(hAPP(c_Predicate_OPowp(_u13013, _u13015), _u13017)) | ~hBOOL(hAPP(hAPP(c_member(_u13013), _u13008), _u13017)) | hBOOL(hAPP(_u13015, _u13008)) )).
% 43.38/43.64 cnf(matrix-6029, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13014, _u13016), _u13018)) | hBOOL(hAPP(hAPP(c_member(_u13014), skolem323(_u13018, _u13016, _u13014)), _u13018)) )).
% 43.38/43.64 cnf(matrix-6030, plain, ( hBOOL(hAPP(c_Predicate_OPowp(_u13014, _u13016), _u13018)) | ~hBOOL(hAPP(_u13016, skolem323(_u13018, _u13016, _u13014))) )).
% 43.38/43.64 cnf(matrix-6031, plain, ( ~c_Equiv__Relations_Ocongruent(_u13025, _u13027, _u13029, _u13031) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13025, _u13025)), _u13019), _u13029)) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13025, _u13025, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13025, tc_fun(_u13025, _u13027), tc_fun(_u13025, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13027, tc_HOL_Obool), tc_fun(tc_fun(_u13025, _u13027), tc_fun(_u13025, tc_HOL_Obool)), _u13025), c_COMBB(_u13027, tc_HOL_Obool, _u13025)), hAPP(hAPP(c_COMBB(_u13027, tc_fun(_u13027, tc_HOL_Obool), _u13025), c_fequal), _u13031))), _u13031)), _u13019)) )).
% 43.38/43.64 cnf(matrix-6032, plain, ( c_Equiv__Relations_Ocongruent(_u13026, _u13028, _u13030, _u13032) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13026, _u13026)), skolem324(_u13032, _u13030, _u13028, _u13026)), _u13030)) )).
% 43.38/43.64 cnf(matrix-6033, plain, ( c_Equiv__Relations_Ocongruent(_u13026, _u13028, _u13030, _u13032) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13026, _u13026, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13026, tc_fun(_u13026, _u13028), tc_fun(_u13026, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13028, tc_HOL_Obool), tc_fun(tc_fun(_u13026, _u13028), tc_fun(_u13026, tc_HOL_Obool)), _u13026), c_COMBB(_u13028, tc_HOL_Obool, _u13026)), hAPP(hAPP(c_COMBB(_u13028, tc_fun(_u13028, tc_HOL_Obool), _u13026), c_fequal), _u13032))), _u13032)), skolem324(_u13032, _u13030, _u13028, _u13026))) )).
% 43.38/43.64 cnf(matrix-6034, plain, ( ~c_Wellfounded_OwfP(_u13036, hAPP(_u13037, skolem325(_u13038, _u13037, _u13036))) | c_Wellfounded_OwfP(_u13036, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13038, tc_fun(_u13036, tc_fun(_u13036, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13038, tc_HOL_Obool))), _u13037)) | ( hAPP(_u13037, skolem326(_u13038, _u13037, _u13036)) != hAPP(_u13037, skolem327(_u13038, _u13037, _u13036))) )).
% 43.38/43.64 cnf(matrix-6035, plain, ( ~c_Wellfounded_OwfP(_u13036, hAPP(_u13037, skolem325(_u13038, _u13037, _u13036))) | c_Wellfounded_OwfP(_u13036, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13038, tc_fun(_u13036, tc_fun(_u13036, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u13038, tc_HOL_Obool))), _u13037)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13036, tc_HOL_Obool)), c_Predicate_ODomainP(_u13036, _u13036, hAPP(_u13037, skolem326(_u13038, _u13037, _u13036)))), c_Predicate_ORangeP(_u13036, _u13036, hAPP(_u13037, skolem327(_u13038, _u13037, _u13036)))) != c_Orderings_Obot__class_Obot(tc_fun(_u13036, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6036, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13041), _u13042), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13043, _u13044, tc_fun(_u13041, tc_HOL_Obool)), _u13045), _u13046))) | ( _u13046 = hAPP(hAPP(c_Product__Type_OPair(_u13043, _u13044), skolem328(_u13046, _u13045, _u13044, _u13043, _u13042, _u13041)), skolem329(_u13046, _u13045, _u13044, _u13043, _u13042, _u13041))) )).
% 43.38/43.64 cnf(matrix-6037, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13041), _u13042), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13043, _u13044, tc_fun(_u13041, tc_HOL_Obool)), _u13045), _u13046))) | hBOOL(hAPP(hAPP(c_member(_u13041), _u13042), hAPP(hAPP(_u13045, skolem328(_u13046, _u13045, _u13044, _u13043, _u13042, _u13041)), skolem329(_u13046, _u13045, _u13044, _u13043, _u13042, _u13041)))) )).
% 43.38/43.64 cnf(matrix-6038, plain, ( hBOOL(hAPP(hAPP(c_member(_u13052), _u13053), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13050, _u13051, tc_fun(_u13052, tc_HOL_Obool)), _u13054), _u13049))) | ( _u13049 = hAPP(hAPP(c_Product__Type_OPair(_u13050, _u13051), skolem330(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)), skolem331(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049))) )).
% 43.38/43.64 cnf(matrix-6039, plain, ( hBOOL(hAPP(hAPP(c_member(_u13052), _u13053), hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13050, _u13051, tc_fun(_u13052, tc_HOL_Obool)), _u13054), _u13049))) | ~hBOOL(hAPP(hAPP(c_member(_u13052), _u13053), hAPP(hAPP(_u13054, skolem330(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)), skolem331(_u13054, _u13053, _u13052, _u13051, _u13050, _u13049)))) )).
% 43.38/43.64 cnf(matrix-6040, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13057)), _u13056), _u13058)) | c_Hoare__Mirabelle_Otriple__valid(_u13057, _u13059, _u13056) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13057)), skolem332(_u13059, _u13058, _u13057)), _u13058)) )).
% 43.38/43.64 cnf(matrix-6041, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13057)), _u13056), _u13058)) | c_Hoare__Mirabelle_Otriple__valid(_u13057, _u13059, _u13056) | ~c_Hoare__Mirabelle_Otriple__valid(_u13057, hAPP(c_Nat_OSuc, _u13059), skolem332(_u13059, _u13058, _u13057)) )).
% 43.38/43.64 cnf(matrix-6042, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u13069, _u13071, _u13073) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13069)), _u13061), _u13073)) | c_Hoare__Mirabelle_Otriple__valid(_u13069, _u13062, _u13061) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13069)), skolem333(_u13073, _u13071, _u13069, _u13062)), _u13071)) )).
% 43.38/43.64 cnf(matrix-6043, plain, ( ~c_Hoare__Mirabelle_Ohoare__valids(_u13069, _u13071, _u13073) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13069)), _u13061), _u13073)) | c_Hoare__Mirabelle_Otriple__valid(_u13069, _u13062, _u13061) | ~c_Hoare__Mirabelle_Otriple__valid(_u13069, _u13062, skolem333(_u13073, _u13071, _u13069, _u13062)) )).
% 43.38/43.64 cnf(matrix-6044, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u13070, _u13072, _u13074) | ~hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13070)), _u13063), _u13072)) | c_Hoare__Mirabelle_Otriple__valid(_u13070, skolem334(_u13074, _u13072, _u13070), _u13063) )).
% 43.38/43.64 cnf(matrix-6045, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u13070, _u13072, _u13074) | hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(_u13070)), skolem335(_u13074, _u13072, _u13070)), _u13074)) )).
% 43.38/43.64 cnf(matrix-6046, plain, ( c_Hoare__Mirabelle_Ohoare__valids(_u13070, _u13072, _u13074) | ~c_Hoare__Mirabelle_Otriple__valid(_u13070, skolem334(_u13074, _u13072, _u13070), skolem335(_u13074, _u13072, _u13070)) )).
% 43.38/43.64 cnf(matrix-6047, plain, ( ( hAPP(c_Set_Ovimage(_u13075, tc_prod(_u13076, _u13077), _u13078), hAPP(hAPP(c_Product__Type_OSigma(_u13076, _u13077), _u13079), hAPP(c_COMBK(tc_fun(_u13077, tc_HOL_Obool), _u13076), _u13080))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13075, tc_HOL_Obool)), hAPP(c_Set_Ovimage(_u13075, _u13076, hAPP(c_Fun_Ocomp(tc_prod(_u13076, _u13077), _u13076, _u13075, c_Product__Type_Ofst(_u13076, _u13077)), _u13078)), _u13079)), hAPP(c_Set_Ovimage(_u13075, _u13077, hAPP(c_Fun_Ocomp(tc_prod(_u13076, _u13077), _u13077, _u13075, c_Product__Type_Osnd(_u13076, _u13077)), _u13078)), _u13080))) )).
% 43.38/43.64 cnf(matrix-6048, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13081, _u13082), hAPP(c_Product__Type_Oprod_Oprod__case(_u13081, _u13082, tc_HOL_Obool), _u13083)) = c_Hilbert__Choice_OEps(tc_prod(_u13081, _u13082), hAPP(hAPP(c_COMBS(tc_prod(_u13081, _u13082), _u13082, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u13081, tc_fun(_u13082, tc_HOL_Obool), tc_prod(_u13081, _u13082)), _u13083), c_Product__Type_Ofst(_u13081, _u13082))), c_Product__Type_Osnd(_u13081, _u13082)))) )).
% 43.38/43.64 cnf(matrix-6049, plain, ( ( hAPP(c_Fun_Ocomp(_u13084, _u13084, _u13085, c_Fun_Oid(_u13084)), _u13086) = _u13086) )).
% 43.38/43.64 cnf(matrix-6050, plain, ( ( hAPP(c_Fun_Ocomp(_u13087, _u13088, _u13087, _u13089), c_Fun_Oid(_u13087)) = _u13089) )).
% 43.38/43.64 cnf(matrix-6051, plain, ( ( hAPP(_u13093, hAPP(_u13094, _u13096)) = hAPP(_u13095, _u13096)) | ( hAPP(c_Fun_Ocomp(_u13090, _u13091, _u13092, _u13093), _u13094) != hAPP(c_Fun_Ocomp(_u13091, _u13091, _u13092, c_Fun_Oid(_u13091)), _u13095)) )).
% 43.38/43.64 cnf(matrix-6052, plain, ( ( hAPP(c_Product__Type_Oapsnd(_u13097, _u13098, _u13099, _u13100), hAPP(c_Product__Type_Oapsnd(_u13101, _u13097, _u13099, _u13102), _u13103)) = hAPP(c_Product__Type_Oapsnd(_u13101, _u13098, _u13099, hAPP(c_Fun_Ocomp(_u13097, _u13098, _u13101, _u13100), _u13102)), _u13103)) )).
% 43.38/43.64 cnf(matrix-6053, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13104, _u13105, _u13106, hAPP(c_COMBK(_u13105, _u13104), _u13107)), _u13108), _u13109) = _u13107) )).
% 43.38/43.64 cnf(matrix-6054, plain, ( ~hBOOL(hAPP(_u13111, _u13110)) | hBOOL(hAPP(_u13111, c_Hilbert__Choice_OEps(_u13112, _u13111))) )).
% 43.38/43.64 cnf(matrix-6055, plain, ( ~hBOOL(hAPP(_u13117, c_Hilbert__Choice_OEps(_u13119, _u13117))) | hBOOL(hAPP(_u13117, skolem336(_u13119, _u13117))) )).
% 43.38/43.64 cnf(matrix-6056, plain, ( ~hBOOL(hAPP(_u13118, _u13114)) | hBOOL(hAPP(_u13118, c_Hilbert__Choice_OEps(_u13120, _u13118))) )).
% 43.38/43.64 cnf(matrix-6057, plain, ( ( c_Hilbert__Choice_OEps(_u13121, hAPP(hAPP(c_COMBC(_u13121, _u13121, tc_HOL_Obool), c_fequal), _u13122)) = _u13122) )).
% 43.38/43.64 cnf(matrix-6058, plain, ( ( c_Hilbert__Choice_OEps(_u13123, hAPP(c_fequal, _u13124)) = _u13124) )).
% 43.38/43.64 cnf(matrix-6059, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13125, _u13126, _u13127, _u13128), _u13129), _u13130) = hAPP(_u13128, hAPP(_u13129, _u13130))) )).
% 43.38/43.64 cnf(matrix-6060, plain, ( ( hAPP(c_Fun_Ocomp(_u13131, _u13132, _u13133, _u13134), c_Fun_Ofun__upd(_u13133, _u13131, _u13135, _u13136, _u13137)) = c_Fun_Ofun__upd(_u13133, _u13132, hAPP(c_Fun_Ocomp(_u13131, _u13132, _u13133, _u13134), _u13135), _u13136, hAPP(_u13134, _u13137))) )).
% 43.38/43.64 cnf(matrix-6061, plain, ( ( hAPP(c_Set_Ovimage(_u13138, _u13139, hAPP(c_Fun_Ocomp(_u13140, _u13139, _u13138, _u13141), _u13142)), _u13143) = hAPP(c_Set_Ovimage(_u13138, _u13140, _u13142), hAPP(c_Set_Ovimage(_u13140, _u13139, _u13141), _u13143))) )).
% 43.38/43.64 cnf(matrix-6062, plain, ( ( hAPP(_u13144, hAPP(_u13145, _u13146)) != hAPP(_u13147, hAPP(_u13148, _u13149))) | ( hAPP(hAPP(c_Fun_Ocomp(_u13150, _u13151, _u13152, _u13144), _u13145), _u13146) = hAPP(hAPP(c_Fun_Ocomp(_u13153, _u13151, _u13154, _u13147), _u13148), _u13149)) )).
% 43.38/43.64 cnf(matrix-6063, plain, ( ( hAPP(c_Fun_Ocomp(_u13155, _u13156, _u13157, _u13158), hAPP(c_Fun_Ocomp(_u13159, _u13155, _u13157, _u13160), _u13161)) = hAPP(c_Fun_Ocomp(_u13159, _u13156, _u13157, hAPP(c_Fun_Ocomp(_u13155, _u13156, _u13159, _u13158), _u13160)), _u13161)) )).
% 43.38/43.64 cnf(matrix-6064, plain, ( ( hAPP(hAPP(c_Fun_Ocomp(_u13162, _u13163, _u13164, _u13165), _u13166), _u13167) = hAPP(_u13165, hAPP(_u13166, _u13167))) )).
% 43.38/43.64 cnf(matrix-6065, plain, ( ( hAPP(_u13171, hAPP(_u13172, _u13176)) = hAPP(_u13174, hAPP(_u13175, _u13176))) | ( hAPP(c_Fun_Ocomp(_u13168, _u13169, _u13170, _u13171), _u13172) != hAPP(c_Fun_Ocomp(_u13173, _u13169, _u13170, _u13174), _u13175)) )).
% 43.38/43.64 cnf(matrix-6066, plain, ( ( hAPP(_u13181, hAPP(_u13182, _u13177)) = hAPP(_u13184, hAPP(_u13185, _u13177))) | ( hAPP(c_Fun_Ocomp(_u13178, _u13179, _u13180, _u13181), _u13182) != hAPP(c_Fun_Ocomp(_u13183, _u13179, _u13180, _u13184), _u13185)) )).
% 43.38/43.64 cnf(matrix-6067, plain, ( ~hBOOL(hAPP(_u13187, _u13186)) | hBOOL(hAPP(_u13187, c_Hilbert__Choice_OEps(_u13188, _u13187))) )).
% 43.38/43.64 cnf(matrix-6068, plain, ( ~hBOOL(hAPP(_u13189, _u13190)) | hBOOL(hAPP(_u13189, c_Hilbert__Choice_OEps(_u13191, _u13189))) )).
% 43.38/43.64 cnf(matrix-6069, plain, ( ( hAPP(_u13195, hAPP(_u13196, _u13198)) = hAPP(_u13197, _u13198)) | ( hAPP(c_Fun_Ocomp(_u13192, _u13193, _u13194, _u13195), _u13196) != _u13197) )).
% 43.38/43.64 cnf(matrix-6070, plain, ( ( hAPP(c_Fun_Ocomp(_u13200, _u13200, _u13200, hAPP(_u13201, _u13202)), hAPP(_u13201, _u13202)) = hAPP(_u13201, _u13202)) | ~c_Finite__Set_Ofun__left__comm__idem(_u13199, _u13200, _u13201) )).
% 43.38/43.64 cnf(matrix-6071, plain, ( ~hBOOL(hAPP(_u13204, _u13203)) | ( _u13205 != c_Hilbert__Choice_OEps(_u13206, _u13204)) | hBOOL(hAPP(_u13204, _u13205)) )).
% 43.38/43.64 cnf(matrix-6072, plain, ( ( hAPP(c_Product__Type_Oapfst(_u13207, _u13208, _u13209, _u13210), hAPP(c_Product__Type_Oapfst(_u13211, _u13207, _u13209, _u13212), _u13213)) = hAPP(c_Product__Type_Oapfst(_u13211, _u13208, _u13209, hAPP(c_Fun_Ocomp(_u13207, _u13208, _u13211, _u13210), _u13212)), _u13213)) )).
% 43.38/43.64 cnf(matrix-6073, plain, ( ~c_Fun_Oinj__on(_u13214, _u13215, _u13216, c_Orderings_Otop__class_Otop(tc_fun(_u13214, tc_HOL_Obool))) | ~c_Fun_Oinj__on(_u13217, _u13214, _u13218, c_Orderings_Otop__class_Otop(tc_fun(_u13217, tc_HOL_Obool))) | c_Fun_Oinj__on(_u13217, _u13215, hAPP(c_Fun_Ocomp(_u13214, _u13215, _u13217, _u13216), _u13218), c_Orderings_Otop__class_Otop(tc_fun(_u13217, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6074, plain, ( ~c_Fun_Oinj__on(_u13219, _u13220, hAPP(c_Fun_Ocomp(_u13221, _u13220, _u13219, _u13222), _u13223), _u13224) | c_Fun_Oinj__on(_u13219, _u13221, _u13223, _u13224) )).
% 43.38/43.64 cnf(matrix-6075, plain, ( ( hAPP(c_Set_Oimage(_u13225, _u13226, hAPP(c_Fun_Ocomp(_u13227, _u13226, _u13225, _u13228), _u13229)), _u13230) = hAPP(c_Set_Oimage(_u13227, _u13226, _u13228), hAPP(c_Set_Oimage(_u13225, _u13227, _u13229), _u13230))) )).
% 43.38/43.64 cnf(matrix-6076, plain, ( ( hAPP(c_Set_Oimage(_u13231, _u13232, _u13233), c_Orderings_Otop__class_Otop(tc_fun(_u13231, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13232, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13232, _u13234, _u13235), c_Orderings_Otop__class_Otop(tc_fun(_u13232, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u13234, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u13231, _u13234, hAPP(c_Fun_Ocomp(_u13232, _u13234, _u13231, _u13235), _u13233)), c_Orderings_Otop__class_Otop(tc_fun(_u13231, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u13234, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6077, plain, ( ~c_Fun_Oinj__on(_u13236, _u13237, _u13238, _u13239) | ~c_Fun_Oinj__on(_u13237, _u13240, _u13241, hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), _u13239)) | c_Fun_Oinj__on(_u13236, _u13240, hAPP(c_Fun_Ocomp(_u13237, _u13240, _u13236, _u13241), _u13238), _u13239) )).
% 43.38/43.64 cnf(matrix-6078, plain, ( ~c_Fun_Oinj__on(_u13236, _u13237, _u13238, _u13239) | ~c_Fun_Oinj__on(_u13236, _u13240, hAPP(c_Fun_Ocomp(_u13237, _u13240, _u13236, _u13241), _u13238), _u13239) | c_Fun_Oinj__on(_u13237, _u13240, _u13241, hAPP(c_Set_Oimage(_u13236, _u13237, _u13238), _u13239)) )).
% 43.38/43.64 cnf(matrix-6079, plain, ( ~c_Fun_Oinj__on(_u13242, _u13243, _u13244, _u13245) | ~c_Fun_Oinj__on(_u13243, _u13246, _u13247, hAPP(c_Set_Oimage(_u13242, _u13243, _u13244), _u13245)) | c_Fun_Oinj__on(_u13242, _u13246, hAPP(c_Fun_Ocomp(_u13243, _u13246, _u13242, _u13247), _u13244), _u13245) )).
% 43.38/43.64 cnf(matrix-6080, plain, ( ~c_Fun_Oinj__on(_u13248, _u13249, hAPP(c_Fun_Ocomp(_u13250, _u13249, _u13248, _u13251), _u13252), _u13253) | c_Fun_Oinj__on(_u13250, _u13249, _u13251, hAPP(c_Set_Oimage(_u13248, _u13250, _u13252), _u13253)) )).
% 43.38/43.64 cnf(matrix-6081, plain, ( ( hAPP(c_Product__Type_Omap__pair(_u13254, _u13255, _u13256, _u13257, _u13258, _u13259), hAPP(c_Product__Type_Omap__pair(_u13260, _u13254, _u13261, _u13256, _u13262, _u13263), _u13264)) = hAPP(c_Product__Type_Omap__pair(_u13260, _u13255, _u13261, _u13257, hAPP(c_Fun_Ocomp(_u13254, _u13255, _u13260, _u13258), _u13262), hAPP(c_Fun_Ocomp(_u13256, _u13257, _u13261, _u13259), _u13263)), _u13264)) )).
% 43.38/43.64 cnf(matrix-6082, plain, ( ( c_Product__Type_Omap__pair(_u13265, _u13266, _u13267, _u13268, hAPP(c_Fun_Ocomp(_u13269, _u13266, _u13265, _u13270), _u13271), hAPP(c_Fun_Ocomp(_u13272, _u13268, _u13267, _u13273), _u13274)) = hAPP(c_Fun_Ocomp(tc_prod(_u13269, _u13272), tc_prod(_u13266, _u13268), tc_prod(_u13265, _u13267), c_Product__Type_Omap__pair(_u13269, _u13266, _u13272, _u13268, _u13270, _u13273)), c_Product__Type_Omap__pair(_u13265, _u13269, _u13267, _u13272, _u13271, _u13274))) )).
% 43.38/43.64 cnf(matrix-6083, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13275, _u13276), tc_prod(_u13277, _u13278), tc_prod(_u13279, _u13280), c_Product__Type_Omap__pair(_u13275, _u13277, _u13276, _u13278, _u13281, _u13282)), c_Product__Type_Omap__pair(_u13279, _u13275, _u13280, _u13276, _u13283, _u13284)) = c_Product__Type_Omap__pair(_u13279, _u13277, _u13280, _u13278, hAPP(c_Fun_Ocomp(_u13275, _u13277, _u13279, _u13281), _u13283), hAPP(c_Fun_Ocomp(_u13276, _u13278, _u13280, _u13282), _u13284))) )).
% 43.38/43.64 cnf(matrix-6084, plain, ( ~class_Groups_Ocomm__monoid__add(_u13285) | ~c_Fun_Oinj__on(_u13286, _u13287, _u13288, _u13289) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13287, _u13285), _u13290), hAPP(c_Set_Oimage(_u13286, _u13287, _u13288), _u13289)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13286, _u13285), hAPP(c_Fun_Ocomp(_u13287, _u13285, _u13286, _u13290), _u13288)), _u13289)) )).
% 43.38/43.64 cnf(matrix-6085, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13291) | ~c_Fun_Oinj__on(_u13292, _u13293, _u13294, _u13295) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13293, _u13291), _u13296), hAPP(c_Set_Oimage(_u13292, _u13293, _u13294), _u13295)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13292, _u13291), hAPP(c_Fun_Ocomp(_u13293, _u13291, _u13292, _u13296), _u13294)), _u13295)) )).
% 43.38/43.64 cnf(matrix-6086, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13297) | ~c_Fun_Oinj__on(_u13298, _u13299, _u13300, _u13301) | ( _u13302 != hAPP(c_Set_Oimage(_u13298, _u13299, _u13300), _u13301)) | ( _u13303 != hAPP(c_Fun_Ocomp(_u13299, _u13297, _u13298, _u13304), _u13300)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13299, _u13297), _u13304), _u13302) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13298, _u13297), _u13303), _u13301)) )).
% 43.38/43.64 cnf(matrix-6087, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13305, _u13306), hAPP(c_Product__Type_Oprod_Oprod__case(_u13305, _u13306, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13305, tc_fun(_u13306, tc_HOL_Obool), tc_fun(_u13306, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13306, tc_HOL_Obool), tc_fun(_u13306, tc_HOL_Obool)), _u13305), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13306)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13305), c_fconj), hAPP(c_fequal, _u13307)))), hAPP(c_fequal, _u13308)))) = hAPP(hAPP(c_Product__Type_OPair(_u13305, _u13306), _u13307), _u13308)) )).
% 43.38/43.64 cnf(matrix-6088, plain, ( ( c_Hilbert__Choice_OEps(tc_prod(_u13309, _u13310), _u13311) = c_Hilbert__Choice_OEps(tc_prod(_u13309, _u13310), hAPP(c_Product__Type_Oprod_Oprod__case(_u13309, _u13310, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u13310, tc_prod(_u13309, _u13310)), tc_fun(_u13310, tc_HOL_Obool), _u13309), hAPP(c_COMBB(tc_prod(_u13309, _u13310), tc_HOL_Obool, _u13310), _u13311)), c_Product__Type_OPair(_u13309, _u13310))))) )).
% 43.38/43.64 cnf(matrix-6089, plain, ( ~class_Groups_Ocomm__monoid__add(_u13312) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13313), _u13314)) | ~c_Fun_Oinj__on(_u13313, _u13313, _u13315, _u13314) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13313, _u13312), _u13316), hAPP(c_Set_Oimage(_u13313, _u13313, _u13315), _u13314)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13313, _u13312), hAPP(c_Fun_Ocomp(_u13313, _u13312, _u13313, _u13316), _u13315)), _u13314)) )).
% 43.38/43.64 cnf(matrix-6090, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13317) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13318), _u13319)) | ~c_Fun_Oinj__on(_u13318, _u13318, _u13320, _u13319) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13318, _u13317), _u13321), hAPP(c_Set_Oimage(_u13318, _u13318, _u13320), _u13319)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13318, _u13317), hAPP(c_Fun_Ocomp(_u13318, _u13317, _u13318, _u13321), _u13320)), _u13319)) )).
% 43.38/43.64 cnf(matrix-6091, plain, ( ~c_Fun_Oinj__on(_u13322, _u13323, _u13324, hAPP(c_Set_Oimage(_u13325, _u13322, _u13326), _u13327)) | ~c_Fun_Oinj__on(_u13325, _u13322, _u13326, _u13327) | ~hBOOL(hAPP(hAPP(c_member(_u13323), _u13328), hAPP(c_Set_Oimage(_u13322, _u13323, _u13324), hAPP(c_Set_Oimage(_u13325, _u13322, _u13326), _u13327)))) | ( hAPP(c_Fun_Othe__inv__into(_u13325, _u13323, _u13327, hAPP(c_Fun_Ocomp(_u13322, _u13323, _u13325, _u13324), _u13326)), _u13328) = hAPP(hAPP(c_Fun_Ocomp(_u13322, _u13325, _u13323, c_Fun_Othe__inv__into(_u13325, _u13322, _u13327, _u13326)), c_Fun_Othe__inv__into(_u13322, _u13323, hAPP(c_Set_Oimage(_u13325, _u13322, _u13326), _u13327), _u13324)), _u13328)) )).
% 43.38/43.64 cnf(matrix-6092, plain, ( ~class_Groups_Oab__semigroup__mult(_u13329) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13330), _u13331)) | ~c_Fun_Oinj__on(_u13330, _u13332, _u13333, _u13331) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13329, _u13332, c_Groups_Otimes__class_Otimes(_u13329)), _u13334), _u13335), hAPP(c_Set_Oimage(_u13330, _u13332, _u13333), _u13331)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13329, _u13330, c_Groups_Otimes__class_Otimes(_u13329)), hAPP(c_Fun_Ocomp(_u13332, _u13329, _u13330, _u13334), _u13333)), _u13335), _u13331)) )).
% 43.38/43.64 cnf(matrix-6093, plain, ( ~c_Finite__Set_Ofolding(_u13336, _u13337, _u13338, _u13339) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13336), _u13340)) | ~hBOOL(hAPP(hAPP(c_member(_u13336), _u13341), _u13340)) | ( hAPP(_u13339, _u13340) = hAPP(c_Fun_Ocomp(_u13337, _u13337, _u13337, hAPP(_u13339, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13336, tc_HOL_Obool)), _u13340), hAPP(hAPP(c_Set_Oinsert(_u13336), _u13341), c_Orderings_Obot__class_Obot(tc_fun(_u13336, tc_HOL_Obool)))))), hAPP(_u13338, _u13341))) )).
% 43.38/43.64 cnf(matrix-6094, plain, ( ~c_Finite__Set_Ofolding__image(_u13342, _u13343, _u13344, _u13345, _u13346) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13343), _u13347)) | ~c_Fun_Oinj__on(_u13343, _u13343, _u13348, _u13347) | ( hAPP(hAPP(_u13346, _u13349), hAPP(c_Set_Oimage(_u13343, _u13343, _u13348), _u13347)) = hAPP(hAPP(_u13346, hAPP(c_Fun_Ocomp(_u13343, _u13342, _u13343, _u13349), _u13348)), _u13347)) )).
% 43.38/43.64 cnf(matrix-6095, plain, ( ~c_Finite__Set_Ofolding(_u13350, _u13351, _u13352, _u13353) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13350), _u13354)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13350), _u13355)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13350, tc_HOL_Obool)), _u13354), _u13355) != c_Orderings_Obot__class_Obot(tc_fun(_u13350, tc_HOL_Obool))) | ( hAPP(_u13353, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13350, tc_HOL_Obool)), _u13354), _u13355)) = hAPP(c_Fun_Ocomp(_u13351, _u13351, _u13351, hAPP(_u13353, _u13354)), hAPP(_u13353, _u13355))) )).
% 43.38/43.64 cnf(matrix-6096, plain, ( ~c_Finite__Set_Ofolding(_u13356, _u13357, _u13358, _u13359) | ( hAPP(c_Fun_Ocomp(_u13360, _u13361, _u13362, _u13363), hAPP(c_Fun_Ocomp(_u13364, _u13360, _u13362, _u13365), _u13366)) = hAPP(c_Fun_Ocomp(_u13364, _u13361, _u13362, hAPP(c_Fun_Ocomp(_u13360, _u13361, _u13364, _u13363), _u13365)), _u13366)) )).
% 43.38/43.64 cnf(matrix-6097, plain, ( ( hAPP(c_Fun_Ocomp(_u13368, _u13368, _u13368, hAPP(_u13369, _u13371)), hAPP(_u13369, _u13372)) = hAPP(c_Fun_Ocomp(_u13368, _u13368, _u13368, hAPP(_u13369, _u13372)), hAPP(_u13369, _u13371))) | ~c_Finite__Set_Ofolding(_u13367, _u13368, _u13369, _u13370) )).
% 43.38/43.64 cnf(matrix-6098, plain, ( ( hAPP(c_Fun_Ocomp(_u13374, _u13374, _u13377, hAPP(_u13375, _u13378)), hAPP(c_Fun_Ocomp(_u13374, _u13374, _u13377, hAPP(_u13375, _u13379)), _u13380)) = hAPP(c_Fun_Ocomp(_u13374, _u13374, _u13377, hAPP(_u13375, _u13379)), hAPP(c_Fun_Ocomp(_u13374, _u13374, _u13377, hAPP(_u13375, _u13378)), _u13380))) | ~c_Finite__Set_Ofolding(_u13373, _u13374, _u13375, _u13376) )).
% 43.38/43.64 cnf(matrix-6099, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13381, tc_fun(_u13382, tc_HOL_Obool)), _u13383), hAPP(c_Fun_Ocomp(_u13384, tc_fun(_u13382, tc_HOL_Obool), _u13381, _u13385), _u13386)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u13384, tc_fun(_u13382, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u13381, _u13384, _u13386), _u13383)), _u13385)) )).
% 43.38/43.64 cnf(matrix-6100, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13387, _u13388), _u13387, tc_prod(_u13389, _u13390), c_Product__Type_Ofst(_u13387, _u13388)), c_Product__Type_Omap__pair(_u13389, _u13387, _u13390, _u13388, _u13391, _u13392)) = hAPP(c_Fun_Ocomp(_u13389, _u13387, tc_prod(_u13389, _u13390), _u13391), c_Product__Type_Ofst(_u13389, _u13390))) )).
% 43.38/43.64 cnf(matrix-6101, plain, ( ( hAPP(c_Fun_Ocomp(tc_prod(_u13393, _u13394), _u13394, tc_prod(_u13395, _u13396), c_Product__Type_Osnd(_u13393, _u13394)), c_Product__Type_Omap__pair(_u13395, _u13393, _u13396, _u13394, _u13397, _u13398)) = hAPP(c_Fun_Ocomp(_u13396, _u13394, tc_prod(_u13395, _u13396), _u13398), c_Product__Type_Osnd(_u13395, _u13396))) )).
% 43.38/43.64 cnf(matrix-6102, plain, ( ~c_Finite__Set_Ofolding__image(_u13399, _u13400, _u13401, _u13402, _u13403) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13400), _u13404)) | ( hAPP(hAPP(_u13403, hAPP(hAPP(c_COMBS(_u13400, _u13399, _u13399), hAPP(hAPP(c_COMBB(_u13399, tc_fun(_u13399, _u13399), _u13400), _u13401), _u13405)), _u13406)), _u13404) = hAPP(hAPP(_u13401, hAPP(hAPP(_u13403, _u13405), _u13404)), hAPP(hAPP(_u13403, _u13406), _u13404))) )).
% 43.38/43.64 cnf(matrix-6103, plain, ( ( hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13407, _u13408, _u13409), hAPP(c_Fun_Ocomp(_u13410, tc_fun(_u13408, _u13409), _u13407, _u13411), _u13412)), _u13413) = hAPP(hAPP(_u13411, hAPP(_u13412, hAPP(c_Product__Type_Ofst(_u13407, _u13408), _u13413))), hAPP(c_Product__Type_Osnd(_u13407, _u13408), _u13413))) )).
% 43.38/43.64 cnf(matrix-6104, plain, ( ~c_Finite__Set_Ofolding(_u13414, _u13415, _u13416, _u13417) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13414), _u13418)) | ( hAPP(c_Fun_Ocomp(_u13415, _u13415, _u13415, hAPP(_u13416, _u13419)), hAPP(_u13417, _u13418)) = hAPP(c_Fun_Ocomp(_u13415, _u13415, _u13415, hAPP(_u13417, _u13418)), hAPP(_u13416, _u13419))) )).
% 43.38/43.64 cnf(matrix-6105, plain, ( ~c_Finite__Set_Ofolding(_u13420, _u13421, _u13422, _u13423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13420), _u13424)) | ( hAPP(c_Fun_Ocomp(_u13421, _u13421, _u13425, hAPP(_u13422, _u13426)), hAPP(c_Fun_Ocomp(_u13421, _u13421, _u13425, hAPP(_u13423, _u13424)), _u13427)) = hAPP(c_Fun_Ocomp(_u13421, _u13421, _u13425, hAPP(_u13423, _u13424)), hAPP(c_Fun_Ocomp(_u13421, _u13421, _u13425, hAPP(_u13422, _u13426)), _u13427))) )).
% 43.38/43.64 cnf(matrix-6106, plain, ( ~c_Finite__Set_Ofolding(_u13428, _u13429, _u13430, _u13431) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13428), _u13432)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13428), _u13433)) | ( hAPP(c_Fun_Ocomp(_u13429, _u13429, _u13429, hAPP(_u13431, _u13433)), hAPP(_u13431, _u13432)) = hAPP(c_Fun_Ocomp(_u13429, _u13429, _u13429, hAPP(_u13431, _u13432)), hAPP(_u13431, _u13433))) )).
% 43.38/43.64 cnf(matrix-6107, plain, ( ~c_Finite__Set_Ofolding(_u13434, _u13435, _u13436, _u13437) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13434), _u13438)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13434), _u13439)) | ( hAPP(c_Fun_Ocomp(_u13435, _u13435, _u13440, hAPP(_u13437, _u13439)), hAPP(c_Fun_Ocomp(_u13435, _u13435, _u13440, hAPP(_u13437, _u13438)), _u13441)) = hAPP(c_Fun_Ocomp(_u13435, _u13435, _u13440, hAPP(_u13437, _u13438)), hAPP(c_Fun_Ocomp(_u13435, _u13435, _u13440, hAPP(_u13437, _u13439)), _u13441))) )).
% 43.38/43.64 cnf(matrix-6108, plain, ( ~c_Finite__Set_Ofolding(_u13442, _u13443, _u13444, _u13445) | ( hAPP(_u13445, c_Orderings_Obot__class_Obot(tc_fun(_u13442, tc_HOL_Obool))) = c_Fun_Oid(_u13443)) )).
% 43.38/43.64 cnf(matrix-6109, plain, ( ~c_Finite__Set_Ofolding__image(_u13446, _u13447, _u13448, _u13449, _u13450) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13447), _u13451)) | ( hAPP(hAPP(_u13450, _u13452), _u13451) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u13446, _u13447, _u13448), _u13452), _u13449), _u13451)) )).
% 43.38/43.64 cnf(matrix-6110, plain, ( ~c_Finite__Set_Ofolding(_u13453, _u13454, _u13455, _u13456) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13453), _u13457)) | hBOOL(hAPP(hAPP(c_member(_u13453), _u13458), _u13457)) | ( hAPP(_u13456, hAPP(hAPP(c_Set_Oinsert(_u13453), _u13458), _u13457)) = hAPP(c_Fun_Ocomp(_u13454, _u13454, _u13454, hAPP(_u13456, _u13457)), hAPP(_u13455, _u13458))) )).
% 43.38/43.64 cnf(matrix-6111, plain, ( ~c_Finite__Set_Ofolding(_u13459, _u13460, _u13461, _u13462) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13459), _u13463)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13459), _u13464)) | ( hAPP(c_Fun_Ocomp(_u13460, _u13460, _u13460, hAPP(_u13462, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13459, tc_HOL_Obool)), _u13463), _u13464))), hAPP(_u13462, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u13459, tc_HOL_Obool)), _u13463), _u13464))) = hAPP(c_Fun_Ocomp(_u13460, _u13460, _u13460, hAPP(_u13462, _u13463)), hAPP(_u13462, _u13464))) )).
% 43.38/43.64 cnf(matrix-6112, plain, ( ~c_Finite__Set_Ofolding(_u13465, _u13466, _u13467, _u13468) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13465), _u13469)) | ( hAPP(_u13468, hAPP(hAPP(c_Set_Oinsert(_u13465), _u13470), _u13469)) = hAPP(c_Fun_Ocomp(_u13466, _u13466, _u13466, hAPP(_u13468, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u13465, tc_HOL_Obool)), _u13469), hAPP(hAPP(c_Set_Oinsert(_u13465), _u13470), c_Orderings_Obot__class_Obot(tc_fun(_u13465, tc_HOL_Obool)))))), hAPP(_u13467, _u13470))) )).
% 43.38/43.64 cnf(matrix-6113, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13471, _u13472, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13471)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13471), c_Hoare__Mirabelle_Opeek__and(_u13471, _u13473, _u13474)), _u13475), _u13476)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13471), tc_HOL_Obool)))) | ~c_Hoare__Mirabelle_Ohoare__derivs(_u13471, _u13472, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13471)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13471), c_Hoare__Mirabelle_Opeek__and(_u13471, _u13473, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13474))), _u13477), _u13476)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13471), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13471, _u13472, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13471)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13471), _u13473), c_Com_Ocom_OCond(_u13474, _u13475, _u13477)), _u13476)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13471), tc_HOL_Obool)))) )).
% 43.38/43.64 cnf(matrix-6114, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(_u13478, _u13479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13478), c_Hoare__Mirabelle_Opeek__and(_u13478, _u13480, _u13481)), _u13482), _u13480)), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13478), tc_HOL_Obool)))) | c_Hoare__Mirabelle_Ohoare__derivs(_u13478, _u13479, hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(_u13478)), hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(_u13478), _u13480), c_Com_Ocom_OWhile(_u13481, _u13482)), c_Hoare__Mirabelle_Opeek__and(_u13478, _u13480, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Com_Ostate, c_fNot), _u13481)))), c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(_u13478), tc_HOL_Obool)))) )).
% 43.38/43.64 cnf(matrix-6115, plain, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | hBOOL(hAPP(hAPP(c_member(_u13486), skolem337(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485)), _u13487)) )).
% 43.38/43.64 cnf(matrix-6116, plain, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | hBOOL(hAPP(hAPP(c_member(_u13486), skolem338(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485)), _u13487)) )).
% 43.38/43.64 cnf(matrix-6117, plain, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | ( skolem337(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485) != skolem338(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485)) )).
% 43.38/43.64 cnf(matrix-6118, plain, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | ( hAPP(_u13488, skolem337(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485)) = hAPP(_u13488, skolem338(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485))) )).
% 43.38/43.64 cnf(matrix-6119, plain, ( ~class_Groups_Ocomm__monoid__add(_u13485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13486), _u13487)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13490, _u13485), _u13489), hAPP(c_Set_Oimage(_u13486, _u13490, _u13488), _u13487)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13486, _u13485), hAPP(c_Fun_Ocomp(_u13490, _u13485, _u13486, _u13489), _u13488)), _u13487)) | ( hAPP(_u13489, hAPP(_u13488, skolem337(_u13490, _u13489, _u13488, _u13487, _u13486, _u13485))) != c_Groups_Ozero__class_Ozero(_u13485)) )).
% 43.38/43.64 cnf(matrix-6120, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13496, _u13498, _u13500), _u13502), _u13504)) | hBOOL(hAPP(hAPP(_u13498, _u13502), _u13504)) )).
% 43.38/43.64 cnf(matrix-6121, plain, ( ~hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13496, _u13498, _u13500), _u13502), _u13504)) | hBOOL(hAPP(_u13500, _u13504)) )).
% 43.38/43.64 cnf(matrix-6122, plain, ( ~hBOOL(hAPP(hAPP(_u13499, _u13503), _u13505)) | ~hBOOL(hAPP(_u13501, _u13505)) | hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(_u13497, _u13499, _u13501), _u13503), _u13505)) )).
% 43.38/43.64 cnf(matrix-6123, plain, ( ~c_Finite__Set_Ofolding__idem(_u13506, _u13507, _u13508, _u13509) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13506), _u13510)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13506), _u13511)) | ( hAPP(_u13509, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13506, tc_HOL_Obool)), _u13510), _u13511)) = hAPP(c_Fun_Ocomp(_u13507, _u13507, _u13507, hAPP(_u13509, _u13510)), hAPP(_u13509, _u13511))) )).
% 43.38/43.64 cnf(matrix-6124, plain, ( ~c_Finite__Set_Ofolding__idem(_u13512, _u13513, _u13514, _u13515) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13512), _u13516)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13512, tc_HOL_Obool)), _u13517), _u13516)) | ( hAPP(c_Fun_Ocomp(_u13513, _u13513, _u13513, hAPP(_u13515, _u13516)), hAPP(_u13515, _u13517)) = hAPP(_u13515, _u13516)) )).
% 43.38/43.64 cnf(matrix-6125, plain, ( ~c_Finite__Set_Ofolding__idem(_u13518, _u13519, _u13520, _u13521) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13518), _u13522)) | ( hAPP(_u13521, hAPP(hAPP(c_Set_Oinsert(_u13518), _u13523), _u13522)) = hAPP(c_Fun_Ocomp(_u13519, _u13519, _u13519, hAPP(_u13521, _u13522)), hAPP(_u13520, _u13523))) )).
% 43.38/43.64 cnf(matrix-6126, plain, ( ( hAPP(c_Fun_Ocomp(_u13525, _u13525, _u13528, hAPP(_u13526, _u13529)), hAPP(c_Fun_Ocomp(_u13525, _u13525, _u13528, hAPP(_u13526, _u13529)), _u13530)) = hAPP(c_Fun_Ocomp(_u13525, _u13525, _u13528, hAPP(_u13526, _u13529)), _u13530)) | ~c_Finite__Set_Ofolding__idem(_u13524, _u13525, _u13526, _u13527) )).
% 43.38/43.64 cnf(matrix-6127, plain, ( ( hAPP(c_Fun_Ocomp(_u13532, _u13532, _u13532, hAPP(_u13533, _u13535)), hAPP(_u13533, _u13535)) = hAPP(_u13533, _u13535)) | ~c_Finite__Set_Ofolding__idem(_u13531, _u13532, _u13533, _u13534) )).
% 43.38/43.64 cnf(matrix-6128, plain, ( ~c_Finite__Set_Ofolding__idem(_u13536, _u13537, _u13538, _u13539) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13536), _u13540)) | ~hBOOL(hAPP(hAPP(c_member(_u13536), _u13541), _u13540)) | ( hAPP(c_Fun_Ocomp(_u13537, _u13537, _u13537, hAPP(_u13539, _u13540)), hAPP(_u13538, _u13541)) = hAPP(_u13539, _u13540)) )).
% 43.38/43.64 cnf(matrix-6129, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13543) | ~c_Fun_Oinj__on(_u13544, _u13545, _u13546, _u13547) | ( _u13548 != hAPP(c_Set_Oimage(_u13544, _u13545, _u13546), _u13547)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13545, _u13543), _u13550), _u13548) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13544, _u13543), _u13549), _u13547)) | hBOOL(hAPP(hAPP(c_member(_u13544), skolem339(_u13550, _u13549, _u13548, _u13547, _u13546, _u13545, _u13544, _u13543)), _u13547)) )).
% 43.38/43.64 cnf(matrix-6130, plain, ( ~class_Groups_Ocomm__monoid__mult(_u13543) | ~c_Fun_Oinj__on(_u13544, _u13545, _u13546, _u13547) | ( _u13548 != hAPP(c_Set_Oimage(_u13544, _u13545, _u13546), _u13547)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13545, _u13543), _u13550), _u13548) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u13544, _u13543), _u13549), _u13547)) | ( hAPP(_u13549, skolem339(_u13550, _u13549, _u13548, _u13547, _u13546, _u13545, _u13544, _u13543)) != hAPP(hAPP(c_Fun_Ocomp(_u13545, _u13543, _u13544, _u13550), _u13546), skolem339(_u13550, _u13549, _u13548, _u13547, _u13546, _u13545, _u13544, _u13543))) )).
% 43.38/43.64 cnf(matrix-6131, plain, ( c_Wellfounded_Owf(_u13552, _u13553) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13552, tc_HOL_Obool)), skolem340(_u13553, _u13552)), hAPP(c_Relation_OImage(_u13552, _u13552, _u13553), skolem340(_u13553, _u13552)))) )).
% 43.38/43.64 cnf(matrix-6132, plain, ( c_Wellfounded_Owf(_u13552, _u13553) | ( skolem340(_u13553, _u13552) != c_Orderings_Obot__class_Obot(tc_fun(_u13552, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6133, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13555, tc_HOL_Obool)), _u13556), _u13557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13555, _u13558), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13558), _u13556), _u13559)), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13558), _u13557), _u13560))) | hBOOL(hAPP(hAPP(c_member(_u13555), skolem341(_u13560, _u13559, _u13558, _u13557, _u13556, _u13555)), _u13556)) )).
% 43.38/43.64 cnf(matrix-6134, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13555, tc_HOL_Obool)), _u13556), _u13557)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13555, _u13558), tc_HOL_Obool)), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13558), _u13556), _u13559)), hAPP(hAPP(c_Product__Type_OSigma(_u13555, _u13558), _u13557), _u13560))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13558, tc_HOL_Obool)), hAPP(_u13559, skolem341(_u13560, _u13559, _u13558, _u13557, _u13556, _u13555))), hAPP(_u13560, skolem341(_u13560, _u13559, _u13558, _u13557, _u13556, _u13555)))) )).
% 43.38/43.64 cnf(matrix-6135, plain, ( hBOOL(hAPP(hAPP(c_member(_u13562), _u13563), c_Wellfounded_Oacc(_u13562, _u13564))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13562, _u13562)), hAPP(hAPP(c_Product__Type_OPair(_u13562, _u13562), skolem342(_u13564, _u13563, _u13562)), _u13563)), _u13564)) )).
% 43.38/43.64 cnf(matrix-6136, plain, ( hBOOL(hAPP(hAPP(c_member(_u13562), _u13563), c_Wellfounded_Oacc(_u13562, _u13564))) | ~hBOOL(hAPP(hAPP(c_member(_u13562), skolem342(_u13564, _u13563, _u13562)), c_Wellfounded_Oacc(_u13562, _u13564))) )).
% 43.38/43.64 cnf(matrix-6137, plain, ( hBOOL(hAPP(hAPP(c_member(_u13566), _u13567), c_Wellfounded_Oacc(_u13566, _u13568))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13566, _u13566)), hAPP(hAPP(c_Product__Type_OPair(_u13566, _u13566), skolem343(_u13568, _u13567, _u13566)), _u13567)), _u13568)) )).
% 43.38/43.64 cnf(matrix-6138, plain, ( hBOOL(hAPP(hAPP(c_member(_u13566), _u13567), c_Wellfounded_Oacc(_u13566, _u13568))) | ~hBOOL(hAPP(hAPP(c_member(_u13566), skolem343(_u13568, _u13567, _u13566)), c_Wellfounded_Oacc(_u13566, _u13568))) )).
% 43.38/43.64 cnf(matrix-6139, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13577), _u13579)) )).
% 43.38/43.64 cnf(matrix-6140, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u13577), _u13581)) )).
% 43.38/43.64 cnf(matrix-6141, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | ( _u13581 != c_Orderings_Obot__class_Obot(tc_fun(_u13577, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6142, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | ~hBOOL(hAPP(hAPP(c_member(_u13577), _u13570), _u13579)) | hBOOL(hAPP(hAPP(c_member(_u13577), skolem344(_u13583, _u13581, _u13579, _u13577, _u13570)), _u13581)) )).
% 43.38/43.64 cnf(matrix-6143, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13577, tc_HOL_Obool), tc_fun(_u13577, tc_HOL_Obool)), _u13579), _u13581)), c_Wellfounded_Omax__ext(_u13577, _u13583))) | ~hBOOL(hAPP(hAPP(c_member(_u13577), _u13570), _u13579)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13577, _u13577)), hAPP(hAPP(c_Product__Type_OPair(_u13577, _u13577), _u13570), skolem344(_u13583, _u13581, _u13579, _u13577, _u13570))), _u13583)) )).
% 43.38/43.64 cnf(matrix-6144, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13578, tc_HOL_Obool), tc_fun(_u13578, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13578, tc_HOL_Obool), tc_fun(_u13578, tc_HOL_Obool)), _u13580), _u13582)), c_Wellfounded_Omax__ext(_u13578, _u13584))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13578), _u13580)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13578), _u13582)) | ( _u13582 = c_Orderings_Obot__class_Obot(tc_fun(_u13578, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u13578), skolem345(_u13584, _u13582, _u13580, _u13578)), _u13580)) )).
% 43.38/43.64 cnf(matrix-6145, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_fun(_u13578, tc_HOL_Obool), tc_fun(_u13578, tc_HOL_Obool))), hAPP(hAPP(c_Product__Type_OPair(tc_fun(_u13578, tc_HOL_Obool), tc_fun(_u13578, tc_HOL_Obool)), _u13580), _u13582)), c_Wellfounded_Omax__ext(_u13578, _u13584))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13578), _u13580)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u13578), _u13582)) | ( _u13582 = c_Orderings_Obot__class_Obot(tc_fun(_u13578, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u13578), _u13571), _u13582)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13578, _u13578)), hAPP(hAPP(c_Product__Type_OPair(_u13578, _u13578), skolem345(_u13584, _u13582, _u13580, _u13578)), _u13571)), _u13584)) )).
% 43.38/43.64 cnf(matrix-6146, plain, ( ~c_Wellfounded_Owf(_u13586, _u13587) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13586, _u13586)), hAPP(hAPP(c_Product__Type_OPair(_u13586, _u13586), hAPP(_u13588, hAPP(c_Nat_OSuc, skolem346(_u13588, _u13587, _u13586)))), hAPP(_u13588, skolem346(_u13588, _u13587, _u13586)))), _u13587)) )).
% 43.38/43.64 cnf(matrix-6147, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), c_Com_Ocom_OLocal(_u13589, _u13590, _u13591)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom), _u13591)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.64 cnf(matrix-6148, plain, ( ( c_Com_Ocom_Ocom__size(c_Com_Ocom_OLocal(_u13592, _u13593, _u13594)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), c_Com_Ocom_Ocom__size(_u13594)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.38/43.64 cnf(matrix-6149, plain, ( ( c_Com_Ocom_OLocal(_u13595, _u13596, _u13597) != c_Com_Ocom_OCond(_u13598, _u13599, _u13600)) )).
% 43.38/43.64 cnf(matrix-6150, plain, ( ( c_Com_Ocom_OCond(_u13601, _u13602, _u13603) != c_Com_Ocom_OLocal(_u13604, _u13605, _u13606)) )).
% 43.38/43.64 cnf(matrix-6151, plain, ( ( c_Com_Ocom_OLocal(_u13607, _u13608, _u13609) != c_Com_Ocom_OSemi(_u13610, _u13611)) )).
% 43.38/43.64 cnf(matrix-6152, plain, ( ( c_Com_Ocom_OSemi(_u13612, _u13613) != c_Com_Ocom_OLocal(_u13614, _u13615, _u13616)) )).
% 43.38/43.64 cnf(matrix-6153, plain, ( ( c_Com_Ocom_OLocal(_u13617, _u13618, _u13619) != c_Com_Ocom_OSKIP) )).
% 43.38/43.64 cnf(matrix-6154, plain, ( ( c_Com_Ocom_OSKIP != c_Com_Ocom_OLocal(_u13620, _u13621, _u13622)) )).
% 43.38/43.64 cnf(matrix-6155, plain, ( ( c_Com_Ocom_OLocal(_u13623, _u13624, _u13625) != hAPP(c_Com_Ocom_OBODY, _u13626)) )).
% 43.38/43.64 cnf(matrix-6156, plain, ( ( hAPP(c_Com_Ocom_OBODY, _u13627) != c_Com_Ocom_OLocal(_u13628, _u13629, _u13630)) )).
% 43.38/43.64 cnf(matrix-6157, plain, ( ( c_Com_Ocom_OLocal(_u13631, _u13632, _u13633) != c_Com_Ocom_OWhile(_u13634, _u13635)) )).
% 43.38/43.64 cnf(matrix-6158, plain, ( ( c_Com_Ocom_OWhile(_u13636, _u13637) != c_Com_Ocom_OLocal(_u13638, _u13639, _u13640)) )).
% 43.38/43.64 cnf(matrix-6159, plain, ( ( c_Com_Ocom_OLocal(_u13647, _u13649, _u13651) != c_Com_Ocom_OLocal(_u13653, _u13655, _u13657)) | ( _u13647 = _u13653) )).
% 43.38/43.64 cnf(matrix-6160, plain, ( ( c_Com_Ocom_OLocal(_u13647, _u13649, _u13651) != c_Com_Ocom_OLocal(_u13653, _u13655, _u13657)) | ( _u13649 = _u13655) )).
% 43.38/43.64 cnf(matrix-6161, plain, ( ( c_Com_Ocom_OLocal(_u13647, _u13649, _u13651) != c_Com_Ocom_OLocal(_u13653, _u13655, _u13657)) | ( _u13651 = _u13657) )).
% 43.38/43.64 cnf(matrix-6162, plain, ( ( _u13648 != _u13654) | ( _u13650 != _u13656) | ( _u13652 != _u13658) | ( c_Com_Ocom_OLocal(_u13648, _u13650, _u13652) = c_Com_Ocom_OLocal(_u13654, _u13656, _u13658)) )).
% 43.38/43.64 cnf(matrix-6163, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13659, _u13660, _u13661, _u13662), _u13663), _u13664), _u13665) = hAPP(hAPP(_u13664, hAPP(c_Product__Type_Ofst(_u13660, _u13661), hAPP(_u13663, _u13665))), hAPP(c_Product__Type_Osnd(_u13660, _u13661), hAPP(_u13663, _u13665)))) )).
% 43.38/43.64 cnf(matrix-6164, plain, ( ~class_Groups_Ocomm__monoid__add(_u13667) | ~class_Orderings_Oord(_u13668) | ( _u13669 != _u13670) | ( _u13671 != _u13672) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13673), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13674), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13670), _u13672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u13668), _u13670), skolem347(_u13674, _u13673, _u13672, _u13671, _u13670, _u13669, _u13668, _u13667))) )).
% 43.38/43.64 cnf(matrix-6165, plain, ( ~class_Groups_Ocomm__monoid__add(_u13667) | ~class_Orderings_Oord(_u13668) | ( _u13669 != _u13670) | ( _u13671 != _u13672) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13673), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13674), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13670), _u13672))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u13668), skolem347(_u13674, _u13673, _u13672, _u13671, _u13670, _u13669, _u13668, _u13667)), _u13672)) )).
% 43.38/43.64 cnf(matrix-6166, plain, ( ~class_Groups_Ocomm__monoid__add(_u13667) | ~class_Orderings_Oord(_u13668) | ( _u13669 != _u13670) | ( _u13671 != _u13672) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13673), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13669), _u13671)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u13668, _u13667), _u13674), hAPP(c_SetInterval_Oord__class_OatLeastLessThan(_u13668, _u13670), _u13672))) | ( hAPP(_u13673, skolem347(_u13674, _u13673, _u13672, _u13671, _u13670, _u13669, _u13668, _u13667)) != hAPP(_u13674, skolem347(_u13674, _u13673, _u13672, _u13671, _u13670, _u13669, _u13668, _u13667))) )).
% 43.38/43.64 cnf(matrix-6167, 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), _u13677), _u13679)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13677), _u13679)) )).
% 43.38/43.64 cnf(matrix-6168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u13678), _u13680)) | 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), _u13678), _u13680)), c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 43.38/43.64 cnf(matrix-6169, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13681, _u13682, _u13683, _u13684), _u13685), _u13686), _u13687) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13682, _u13683, _u13684), _u13686), hAPP(_u13685, _u13687))) )).
% 43.38/43.64 cnf(matrix-6170, plain, ( ~c_Wellfounded_Owf(_u13688, _u13689) | c_Wellfounded_Owf(_u13688, c_Transitive__Closure_Otrancl(_u13688, _u13689)) )).
% 43.38/43.64 cnf(matrix-6171, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13690, _u13691, _u13690, _u13692), hAPP(c_Product__Type_OPair(_u13691, _u13690), _u13693)), _u13694) = hAPP(_u13694, _u13693)) )).
% 43.38/43.64 cnf(matrix-6172, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13695, _u13696, _u13697, _u13698), hAPP(hAPP(c_Product__Type_Oscomp(_u13695, _u13699, _u13700, tc_prod(_u13696, _u13697)), _u13701), _u13702)), _u13703) = hAPP(hAPP(c_Product__Type_Oscomp(_u13695, _u13699, _u13700, _u13698), _u13701), hAPP(hAPP(c_COMBC(_u13699, tc_fun(_u13696, tc_fun(_u13697, _u13698)), tc_fun(_u13700, _u13698)), hAPP(hAPP(c_COMBB(tc_fun(_u13700, tc_prod(_u13696, _u13697)), tc_fun(tc_fun(_u13696, tc_fun(_u13697, _u13698)), tc_fun(_u13700, _u13698)), _u13699), c_Product__Type_Oscomp(_u13700, _u13696, _u13697, _u13698)), _u13702)), _u13703))) )).
% 43.38/43.64 cnf(matrix-6173, plain, ( ( hAPP(hAPP(c_Product__Type_Oscomp(_u13704, _u13705, _u13706, tc_prod(_u13705, _u13706)), _u13707), c_Product__Type_OPair(_u13705, _u13706)) = _u13707) )).
% 43.38/43.64 cnf(matrix-6174, plain, ( ( hAPP(hAPP(hAPP(c_Product__Type_Oscomp(_u13708, _u13709, _u13710, _u13711), _u13712), _u13713), _u13714) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u13709, _u13710, _u13711), _u13713), hAPP(_u13712, _u13714))) )).
% 43.38/43.64 cnf(matrix-6175, plain, ( ( c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat)) )).
% 43.38/43.64 cnf(matrix-6176, plain, ( ~c_Wellfounded_Oacyclic(_u13719, _u13721) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13719, _u13719)), hAPP(hAPP(c_Product__Type_OPair(_u13719, _u13719), _u13715), _u13715)), c_Transitive__Closure_Otrancl(_u13719, _u13721))) )).
% 43.38/43.64 cnf(matrix-6177, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13720, _u13720)), hAPP(hAPP(c_Product__Type_OPair(_u13720, _u13720), skolem348(_u13722, _u13720)), skolem348(_u13722, _u13720))), c_Transitive__Closure_Otrancl(_u13720, _u13722))) | c_Wellfounded_Oacyclic(_u13720, _u13722) )).
% 43.38/43.64 cnf(matrix-6178, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13723, _u13723)), hAPP(hAPP(c_Product__Type_OPair(_u13723, _u13723), _u13724), _u13725)), _u13726)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13723, _u13723)), hAPP(hAPP(c_Product__Type_OPair(_u13723, _u13723), _u13724), _u13725)), c_Transitive__Closure_Otrancl(_u13723, _u13726))) )).
% 43.38/43.64 cnf(matrix-6179, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13727, _u13727), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13727, _u13728)), hAPP(hAPP(c_Product__Type_OSigma(_u13727, _u13727), hAPP(c_Relation_OField(_u13727), _u13728)), hAPP(c_COMBK(tc_fun(_u13727, tc_HOL_Obool), _u13727), hAPP(c_Relation_OField(_u13727), _u13728))))) )).
% 43.38/43.64 cnf(matrix-6180, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13729, _u13729), tc_HOL_Obool)), _u13730), _u13731)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13729, _u13729), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13729, _u13729, _u13729), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13729, _u13729), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13729, _u13730)), _u13731)), _u13730)), _u13731)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13729, _u13729), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13729, _u13730)), _u13731)) )).
% 43.38/43.64 cnf(matrix-6181, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13732, _u13732)), _u13733), _u13734)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13732, _u13732)), _u13733), c_Transitive__Closure_Otrancl(_u13732, _u13734))) )).
% 43.38/43.64 cnf(matrix-6182, plain, ( ( c_Transitive__Closure_Otrancl(_u13735, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13735, _u13735), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13735, _u13735), tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6183, plain, ( ( hAPP(c_Relation_ODomain(_u13736, _u13736), c_Transitive__Closure_Otrancl(_u13736, _u13737)) = hAPP(c_Relation_ODomain(_u13736, _u13736), _u13737)) )).
% 43.38/43.64 cnf(matrix-6184, plain, ( ( hAPP(c_Relation_ORange(_u13738, _u13738), c_Transitive__Closure_Otrancl(_u13738, _u13739)) = hAPP(c_Relation_ORange(_u13738, _u13738), _u13739)) )).
% 43.38/43.64 cnf(matrix-6185, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13742, _u13742)), c_Transitive__Closure_Otrancl(_u13742, _u13744))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13742, _u13742)), _u13744)) )).
% 43.38/43.64 cnf(matrix-6186, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13743, _u13743)), _u13745)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u13743, _u13743)), c_Transitive__Closure_Otrancl(_u13743, _u13745))) )).
% 43.38/43.64 cnf(matrix-6187, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13746, _u13746)), hAPP(hAPP(c_Product__Type_OPair(_u13746, _u13746), _u13747), _u13748)), _u13749)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13746, _u13746)), hAPP(hAPP(c_Product__Type_OPair(_u13746, _u13746), _u13748), _u13750)), _u13749)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13746, _u13746)), hAPP(hAPP(c_Product__Type_OPair(_u13746, _u13746), _u13747), _u13750)), c_Transitive__Closure_Otrancl(_u13746, _u13749))) )).
% 43.38/43.64 cnf(matrix-6188, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13751, _u13751)), hAPP(hAPP(c_Product__Type_OPair(_u13751, _u13751), _u13752), _u13753)), _u13754)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13751, _u13751)), hAPP(hAPP(c_Product__Type_OPair(_u13751, _u13751), _u13753), _u13755)), c_Transitive__Closure_Otrancl(_u13751, _u13754))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13751, _u13751)), hAPP(hAPP(c_Product__Type_OPair(_u13751, _u13751), _u13752), _u13755)), c_Transitive__Closure_Otrancl(_u13751, _u13754))) )).
% 43.38/43.64 cnf(matrix-6189, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13756, _u13756)), hAPP(hAPP(c_Product__Type_OPair(_u13756, _u13756), _u13757), _u13758)), c_Transitive__Closure_Otrancl(_u13756, _u13759))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13756, _u13756)), hAPP(hAPP(c_Product__Type_OPair(_u13756, _u13756), _u13758), _u13760)), _u13759)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13756, _u13756)), hAPP(hAPP(c_Product__Type_OPair(_u13756, _u13756), _u13757), _u13760)), c_Transitive__Closure_Otrancl(_u13756, _u13759))) )).
% 43.38/43.64 cnf(matrix-6190, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13761, _u13761)), hAPP(hAPP(c_Product__Type_OPair(_u13761, _u13761), _u13762), _u13763)), c_Transitive__Closure_Otrancl(_u13761, _u13764))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13761, _u13761)), hAPP(hAPP(c_Product__Type_OPair(_u13761, _u13761), _u13763), _u13765)), c_Transitive__Closure_Otrancl(_u13761, _u13764))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13761, _u13761)), hAPP(hAPP(c_Product__Type_OPair(_u13761, _u13761), _u13762), _u13765)), c_Transitive__Closure_Otrancl(_u13761, _u13764))) )).
% 43.38/43.64 cnf(matrix-6191, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13766, _u13766)), _u13767), c_Transitive__Closure_Otrancl(_u13766, _u13768))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13766, _u13766), tc_HOL_Obool)), _u13768), _u13769)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13766, _u13766)), _u13767), c_Transitive__Closure_Otrancl(_u13766, _u13769))) )).
% 43.38/43.64 cnf(matrix-6192, plain, ( ( c_Transitive__Closure_Otrancl(_u13770, _u13771) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13770, _u13770), tc_HOL_Obool)), _u13771), hAPP(hAPP(c_Relation_Orel__comp(_u13770, _u13770, _u13770), c_Transitive__Closure_Otrancl(_u13770, _u13771)), _u13771))) )).
% 43.38/43.64 cnf(matrix-6193, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13772, _u13772), tc_HOL_Obool)), _u13773), hAPP(hAPP(c_Product__Type_OSigma(_u13772, _u13772), _u13774), hAPP(c_COMBK(tc_fun(_u13772, tc_HOL_Obool), _u13772), _u13774)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13772, _u13772), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13772, _u13773)), hAPP(hAPP(c_Product__Type_OSigma(_u13772, _u13772), _u13774), hAPP(c_COMBK(tc_fun(_u13772, tc_HOL_Obool), _u13772), _u13774)))) )).
% 43.38/43.64 cnf(matrix-6194, plain, ( ( _u13780 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13782, _u13784, _u13780, _u13786), _u13788) = hAPP(c_Product__Type_OPair(_u13782, _u13784), _u13788)) )).
% 43.38/43.64 cnf(matrix-6195, plain, ( ( _u13781 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_Random_Oiterate(_u13783, _u13785, _u13781, _u13787), _u13789) = hAPP(hAPP(c_Product__Type_Oscomp(_u13785, _u13783, _u13785, tc_prod(_u13783, _u13785)), hAPP(_u13787, _u13789)), c_Random_Oiterate(_u13783, _u13785, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u13781), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u13787))) )).
% 43.38/43.64 cnf(matrix-6196, plain, ( ( c_Transitive__Closure_Otrancl(_u13790, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13790, _u13790)), hAPP(hAPP(c_Product__Type_OPair(_u13790, _u13790), _u13791), _u13792)), _u13793)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13790, _u13793)), hAPP(c_Set_OCollect(tc_prod(_u13790, _u13790)), hAPP(c_Product__Type_Oprod_Oprod__case(_u13790, _u13790, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u13790, tc_fun(_u13790, tc_HOL_Obool), tc_fun(_u13790, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(_u13790, tc_HOL_Obool), tc_fun(_u13790, tc_HOL_Obool)), _u13790), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u13790)), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u13790), c_fconj), hAPP(hAPP(c_COMBC(_u13790, tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13790, _u13790), tc_fun(tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool), tc_HOL_Obool), _u13790), c_member(tc_prod(_u13790, _u13790))), hAPP(hAPP(c_COMBC(_u13790, _u13790, tc_prod(_u13790, _u13790)), c_Product__Type_OPair(_u13790, _u13790)), _u13791))), c_Transitive__Closure_Ortrancl(_u13790, _u13793))))), hAPP(hAPP(c_COMBC(_u13790, tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_prod(_u13790, _u13790), tc_fun(tc_fun(tc_prod(_u13790, _u13790), tc_HOL_Obool), tc_HOL_Obool), _u13790), c_member(tc_prod(_u13790, _u13790))), hAPP(c_Product__Type_OPair(_u13790, _u13790), _u13792))), c_Transitive__Closure_Ortrancl(_u13790, _u13793))))))) )).
% 43.38/43.64 cnf(matrix-6197, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13798, tc_fun(_u13798, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13798, tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_fun(_u13798, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13798, tc_fun(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_fun(_u13798, tc_HOL_Obool)), _u13798), c_COMBC(_u13798, tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13798, tc_prod(_u13798, _u13798)), tc_fun(_u13798, tc_fun(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_HOL_Obool)), _u13798), hAPP(c_COMBB(tc_prod(_u13798, _u13798), tc_fun(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool), tc_HOL_Obool), _u13798), c_member(tc_prod(_u13798, _u13798)))), c_Product__Type_OPair(_u13798, _u13798)))), _u13800)), c_fequal), _u13802), _u13804)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13798, _u13798)), hAPP(hAPP(c_Product__Type_OPair(_u13798, _u13798), _u13802), _u13804)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13798, _u13798), tc_HOL_Obool)), _u13800), c_Relation_OId(_u13798)))) )).
% 43.38/43.64 cnf(matrix-6198, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13799, _u13799)), hAPP(hAPP(c_Product__Type_OPair(_u13799, _u13799), _u13803), _u13805)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool)), _u13801), c_Relation_OId(_u13799)))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u13799, tc_fun(_u13799, tc_HOL_Obool))), hAPP(hAPP(c_COMBC(_u13799, tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_fun(_u13799, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13799, tc_fun(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_fun(_u13799, tc_HOL_Obool)), _u13799), c_COMBC(_u13799, tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u13799, tc_prod(_u13799, _u13799)), tc_fun(_u13799, tc_fun(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_HOL_Obool)), _u13799), hAPP(c_COMBB(tc_prod(_u13799, _u13799), tc_fun(tc_fun(tc_prod(_u13799, _u13799), tc_HOL_Obool), tc_HOL_Obool), _u13799), c_member(tc_prod(_u13799, _u13799)))), c_Product__Type_OPair(_u13799, _u13799)))), _u13801)), c_fequal), _u13803), _u13805)) )).
% 43.38/43.64 cnf(matrix-6199, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13806, _u13806)), _u13807), _u13808)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13806, _u13806)), _u13807), c_Transitive__Closure_Ortrancl(_u13806, _u13808))) )).
% 43.38/43.64 cnf(matrix-6200, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13809, _u13809)), hAPP(hAPP(c_Product__Type_OPair(_u13809, _u13809), _u13810), _u13810)), c_Transitive__Closure_Ortrancl(_u13809, _u13811))) )).
% 43.38/43.64 cnf(matrix-6201, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13812, _u13812)), hAPP(hAPP(c_Product__Type_OPair(_u13812, _u13812), _u13813), _u13813)), c_Relation_OId(_u13812))) )).
% 43.38/43.64 cnf(matrix-6202, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13814, _u13814)), hAPP(hAPP(c_Product__Type_OPair(_u13814, _u13814), _u13815), _u13816)), c_Transitive__Closure_Otrancl(_u13814, _u13817))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13814, _u13814)), hAPP(hAPP(c_Product__Type_OPair(_u13814, _u13814), _u13815), _u13816)), c_Transitive__Closure_Ortrancl(_u13814, _u13817))) )).
% 43.38/43.64 cnf(matrix-6203, plain, ( ( c_Transitive__Closure_Otrancl(_u13818, _u13819) = hAPP(hAPP(c_Relation_Orel__comp(_u13818, _u13818, _u13818), _u13819), c_Transitive__Closure_Ortrancl(_u13818, _u13819))) )).
% 43.38/43.64 cnf(matrix-6204, plain, ( ( c_Transitive__Closure_Otrancl(_u13820, _u13821) = hAPP(hAPP(c_Relation_Orel__comp(_u13820, _u13820, _u13820), c_Transitive__Closure_Ortrancl(_u13820, _u13821)), _u13821)) )).
% 43.38/43.64 cnf(matrix-6205, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13822, _u13822), tc_HOL_Obool)), c_Transitive__Closure_Otrancl(_u13822, _u13823)), c_Relation_OId(_u13822)) = c_Transitive__Closure_Ortrancl(_u13822, _u13823)) )).
% 43.38/43.64 cnf(matrix-6206, plain, ( ( c_Transitive__Closure_Otrancl(_u13824, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13824, _u13824), tc_HOL_Obool)), _u13825), c_Relation_OId(_u13824))) = c_Transitive__Closure_Ortrancl(_u13824, _u13825)) )).
% 43.38/43.64 cnf(matrix-6207, plain, ( ( c_Transitive__Closure_Otrancl(_u13826, c_Transitive__Closure_Ortrancl(_u13826, _u13827)) = c_Transitive__Closure_Ortrancl(_u13826, _u13827)) )).
% 43.38/43.64 cnf(matrix-6208, plain, ( ( c_Transitive__Closure_Ortrancl(_u13828, c_Transitive__Closure_Otrancl(_u13828, _u13829)) = c_Transitive__Closure_Ortrancl(_u13828, _u13829)) )).
% 43.38/43.64 cnf(matrix-6209, plain, ( c_Relation_Orefl__on(_u13830, c_Orderings_Otop__class_Otop(tc_fun(_u13830, tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13830, _u13831)) )).
% 43.38/43.64 cnf(matrix-6210, plain, ( ( c_Transitive__Closure_Ortrancl(_u13832, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13832, _u13832), tc_HOL_Obool)), _u13833), c_Relation_OId(_u13832))) = c_Transitive__Closure_Ortrancl(_u13832, _u13833)) )).
% 43.38/43.64 cnf(matrix-6211, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13834, _u13834)), hAPP(hAPP(c_Product__Type_OPair(_u13834, _u13834), _u13835), _u13836)), _u13837)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13834, _u13834)), hAPP(hAPP(c_Product__Type_OPair(_u13834, _u13834), _u13836), _u13838)), c_Transitive__Closure_Ortrancl(_u13834, _u13837))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13834, _u13834)), hAPP(hAPP(c_Product__Type_OPair(_u13834, _u13834), _u13835), _u13838)), c_Transitive__Closure_Ortrancl(_u13834, _u13837))) )).
% 43.38/43.64 cnf(matrix-6212, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13839, _u13839)), hAPP(hAPP(c_Product__Type_OPair(_u13839, _u13839), _u13840), _u13841)), c_Transitive__Closure_Ortrancl(_u13839, _u13842))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13839, _u13839)), hAPP(hAPP(c_Product__Type_OPair(_u13839, _u13839), _u13841), _u13843)), _u13842)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13839, _u13839)), hAPP(hAPP(c_Product__Type_OPair(_u13839, _u13839), _u13840), _u13843)), c_Transitive__Closure_Ortrancl(_u13839, _u13842))) )).
% 43.38/43.64 cnf(matrix-6213, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13844, _u13844)), hAPP(hAPP(c_Product__Type_OPair(_u13844, _u13844), _u13845), _u13846)), c_Transitive__Closure_Ortrancl(_u13844, _u13847))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13844, _u13844)), hAPP(hAPP(c_Product__Type_OPair(_u13844, _u13844), _u13846), _u13848)), c_Transitive__Closure_Ortrancl(_u13844, _u13847))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13844, _u13844)), hAPP(hAPP(c_Product__Type_OPair(_u13844, _u13844), _u13845), _u13848)), c_Transitive__Closure_Ortrancl(_u13844, _u13847))) )).
% 43.38/43.64 cnf(matrix-6214, plain, ( ( c_Transitive__Closure_Ortrancl(_u13849, c_Transitive__Closure_Ortrancl(_u13849, _u13850)) = c_Transitive__Closure_Ortrancl(_u13849, _u13850)) )).
% 43.38/43.64 cnf(matrix-6215, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u13851, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u13851, _u13851, _u13852), _u13853)), _u13853)) | ( hAPP(c_Relation_OImage(_u13851, _u13851, c_Transitive__Closure_Ortrancl(_u13851, _u13852)), _u13853) = _u13853) )).
% 43.38/43.64 cnf(matrix-6216, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13854, _u13854), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13854, _u13854), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13854, _u13855)), c_Transitive__Closure_Ortrancl(_u13854, _u13856))), c_Transitive__Closure_Ortrancl(_u13854, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13854, _u13854), tc_HOL_Obool)), _u13855), _u13856)))) )).
% 43.38/43.64 cnf(matrix-6217, plain, ( ( c_Transitive__Closure_Ortrancl(_u13857, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13857, _u13857), tc_HOL_Obool)), _u13858), c_Relation_OId(_u13857))) = c_Transitive__Closure_Ortrancl(_u13857, _u13858)) )).
% 43.38/43.64 cnf(matrix-6218, plain, ( ( c_Transitive__Closure_Ortrancl(_u13859, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13859, _u13859), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13859, _u13860)), c_Transitive__Closure_Ortrancl(_u13859, _u13861))) = c_Transitive__Closure_Ortrancl(_u13859, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13859, _u13859), tc_HOL_Obool)), _u13860), _u13861))) )).
% 43.38/43.64 cnf(matrix-6219, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13862, _u13862), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13862, _u13863)), c_Relation_OId(_u13862)) = c_Transitive__Closure_Ortrancl(_u13862, _u13863)) )).
% 43.38/43.64 cnf(matrix-6220, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13864, _u13864), tc_HOL_Obool)), _u13865), c_Transitive__Closure_Ortrancl(_u13864, _u13866))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13864, _u13864), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13864, _u13865)), c_Transitive__Closure_Ortrancl(_u13864, _u13866))) )).
% 43.38/43.64 cnf(matrix-6221, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13867, _u13867), tc_HOL_Obool)), _u13868), _u13869)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13867, _u13867), tc_HOL_Obool)), _u13869), c_Transitive__Closure_Ortrancl(_u13867, _u13868))) | ( c_Transitive__Closure_Ortrancl(_u13867, _u13869) = c_Transitive__Closure_Ortrancl(_u13867, _u13868)) )).
% 43.38/43.64 cnf(matrix-6222, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13870, _u13870), tc_HOL_Obool)), _u13871), _u13872)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13870, _u13870), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13870, _u13871)), c_Transitive__Closure_Ortrancl(_u13870, _u13872))) )).
% 43.38/43.64 cnf(matrix-6223, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13873, _u13873), tc_HOL_Obool)), c_Relation_OId(_u13873)), _u13874)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13873, _u13873), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u13873, _u13873, _u13873), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u13873, _u13873), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13873, _u13875)), _u13874)), _u13875)), _u13874)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13873, _u13873), tc_HOL_Obool)), c_Transitive__Closure_Ortrancl(_u13873, _u13875)), _u13874)) )).
% 43.38/43.64 cnf(matrix-6224, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13876, _u13876, _u13876), c_Transitive__Closure_Ortrancl(_u13876, _u13877)), c_Transitive__Closure_Ortrancl(_u13876, _u13877)) = c_Transitive__Closure_Ortrancl(_u13876, _u13877)) )).
% 43.38/43.64 cnf(matrix-6225, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13878, _u13878, _u13878), _u13879), c_Transitive__Closure_Ortrancl(_u13878, _u13879)) = hAPP(hAPP(c_Relation_Orel__comp(_u13878, _u13878, _u13878), c_Transitive__Closure_Ortrancl(_u13878, _u13879)), _u13879)) )).
% 43.38/43.64 cnf(matrix-6226, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), _u13881), c_Transitive__Closure_Ortrancl(_u13880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool)), _u13882), _u13883)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), _u13881), c_Transitive__Closure_Ortrancl(_u13880, _u13882))) )).
% 43.38/43.64 cnf(matrix-6227, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), _u13881), c_Transitive__Closure_Ortrancl(_u13880, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13880, _u13880), tc_HOL_Obool)), _u13882), _u13883)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13880, _u13880)), _u13881), c_Transitive__Closure_Ortrancl(_u13880, _u13883))) )).
% 43.38/43.64 cnf(matrix-6228, plain, ( ( c_Transitive__Closure_Ortrancl(_u13884, _u13885) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13884, _u13884), tc_HOL_Obool)), c_Relation_OId(_u13884)), hAPP(hAPP(c_Relation_Orel__comp(_u13884, _u13884, _u13884), c_Transitive__Closure_Ortrancl(_u13884, _u13885)), _u13885))) )).
% 43.38/43.64 cnf(matrix-6229, plain, ( ( c_Transitive__Closure_Ortrancl(_u13886, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u13886, _u13886), tc_HOL_Obool))) = c_Relation_OId(_u13886)) )).
% 43.38/43.64 cnf(matrix-6230, plain, ( ( hAPP(c_Relation_ORange(_u13887, _u13887), c_Transitive__Closure_Ortrancl(_u13887, _u13888)) = c_Orderings_Otop__class_Otop(tc_fun(_u13887, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6231, plain, ( ( hAPP(c_Relation_ODomain(_u13889, _u13889), c_Transitive__Closure_Ortrancl(_u13889, _u13890)) = c_Orderings_Otop__class_Otop(tc_fun(_u13889, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6232, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13891, _u13892, _u13892), _u13893), c_Relation_OId(_u13892)) = _u13893) )).
% 43.38/43.64 cnf(matrix-6233, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u13894, _u13894, _u13895), c_Relation_OId(_u13894)), _u13896) = _u13896) )).
% 43.38/43.64 cnf(matrix-6234, plain, ( ( hAPP(c_Relation_OImage(_u13897, _u13897, c_Relation_OId(_u13897)), _u13898) = _u13898) )).
% 43.38/43.64 cnf(matrix-6235, plain, ( ( _u13904 = _u13906) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13902, _u13902)), hAPP(hAPP(c_Product__Type_OPair(_u13902, _u13902), _u13904), _u13906)), c_Relation_OId(_u13902))) )).
% 43.38/43.64 cnf(matrix-6236, plain, ( ( _u13905 != _u13907) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13903, _u13903)), hAPP(hAPP(c_Product__Type_OPair(_u13903, _u13903), _u13905), _u13907)), c_Relation_OId(_u13903))) )).
% 43.38/43.64 cnf(matrix-6237, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13912, _u13912)), hAPP(hAPP(c_Product__Type_OPair(_u13912, _u13912), _u13914), _u13916)), c_Transitive__Closure_Ortrancl(_u13912, _u13918))) | ( _u13914 = _u13916) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13912, _u13912)), hAPP(hAPP(c_Product__Type_OPair(_u13912, _u13912), _u13914), _u13916)), c_Transitive__Closure_Otrancl(_u13912, _u13918))) )).
% 43.38/43.64 cnf(matrix-6238, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13913, _u13913)), hAPP(hAPP(c_Product__Type_OPair(_u13913, _u13913), _u13915), _u13917)), c_Transitive__Closure_Ortrancl(_u13913, _u13919))) | ( _u13915 != _u13917) )).
% 43.38/43.64 cnf(matrix-6239, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u13913, _u13913)), hAPP(hAPP(c_Product__Type_OPair(_u13913, _u13913), _u13915), _u13917)), c_Transitive__Closure_Ortrancl(_u13913, _u13919))) | ( _u13915 = _u13917) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13913, _u13913)), hAPP(hAPP(c_Product__Type_OPair(_u13913, _u13913), _u13915), _u13917)), c_Transitive__Closure_Otrancl(_u13913, _u13919))) )).
% 43.38/43.64 cnf(matrix-6240, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13920, _u13920)), hAPP(hAPP(c_Product__Type_OPair(_u13920, _u13920), _u13921), _u13922)), _u13923)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13920, _u13920)), hAPP(hAPP(c_Product__Type_OPair(_u13920, _u13920), _u13922), _u13924)), c_Transitive__Closure_Ortrancl(_u13920, _u13923))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13920, _u13920)), hAPP(hAPP(c_Product__Type_OPair(_u13920, _u13920), _u13921), _u13924)), c_Transitive__Closure_Otrancl(_u13920, _u13923))) )).
% 43.38/43.64 cnf(matrix-6241, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13925, _u13925)), hAPP(hAPP(c_Product__Type_OPair(_u13925, _u13925), _u13926), _u13927)), c_Transitive__Closure_Ortrancl(_u13925, _u13928))) | ( _u13926 = _u13927) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13925, _u13925)), hAPP(hAPP(c_Product__Type_OPair(_u13925, _u13925), _u13926), _u13927)), c_Transitive__Closure_Otrancl(_u13925, _u13928))) )).
% 43.38/43.64 cnf(matrix-6242, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13929, _u13929)), hAPP(hAPP(c_Product__Type_OPair(_u13929, _u13929), _u13930), _u13931)), c_Transitive__Closure_Ortrancl(_u13929, _u13932))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13929, _u13929)), hAPP(hAPP(c_Product__Type_OPair(_u13929, _u13929), _u13931), _u13933)), _u13932)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13929, _u13929)), hAPP(hAPP(c_Product__Type_OPair(_u13929, _u13929), _u13930), _u13933)), c_Transitive__Closure_Otrancl(_u13929, _u13932))) )).
% 43.38/43.64 cnf(matrix-6243, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13934, _u13934)), hAPP(hAPP(c_Product__Type_OPair(_u13934, _u13934), _u13935), _u13936)), c_Transitive__Closure_Otrancl(_u13934, _u13937))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13934, _u13934)), hAPP(hAPP(c_Product__Type_OPair(_u13934, _u13934), _u13936), _u13938)), c_Transitive__Closure_Ortrancl(_u13934, _u13937))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13934, _u13934)), hAPP(hAPP(c_Product__Type_OPair(_u13934, _u13934), _u13935), _u13938)), c_Transitive__Closure_Otrancl(_u13934, _u13937))) )).
% 43.38/43.64 cnf(matrix-6244, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13939, _u13939)), hAPP(hAPP(c_Product__Type_OPair(_u13939, _u13939), _u13940), _u13941)), c_Transitive__Closure_Ortrancl(_u13939, _u13942))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13939, _u13939)), hAPP(hAPP(c_Product__Type_OPair(_u13939, _u13939), _u13941), _u13943)), c_Transitive__Closure_Otrancl(_u13939, _u13942))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13939, _u13939)), hAPP(hAPP(c_Product__Type_OPair(_u13939, _u13939), _u13940), _u13943)), c_Transitive__Closure_Otrancl(_u13939, _u13942))) )).
% 43.38/43.64 cnf(matrix-6245, plain, ( ( hAPP(c_Relation_ODomain(_u13944, _u13944), c_Relation_OId(_u13944)) = c_Orderings_Otop__class_Otop(tc_fun(_u13944, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6246, plain, ( ( hAPP(c_Relation_ORange(_u13945, _u13945), c_Relation_OId(_u13945)) = c_Orderings_Otop__class_Otop(tc_fun(_u13945, tc_HOL_Obool))) )).
% 43.38/43.64 cnf(matrix-6247, plain, ( c_Relation_Orefl__on(_u13946, c_Orderings_Otop__class_Otop(tc_fun(_u13946, tc_HOL_Obool)), c_Relation_OId(_u13946)) )).
% 43.38/43.64 cnf(matrix-6248, 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)))) )).
% 43.38/43.64 cnf(matrix-6249, plain, ( hBOOL(hAPP(hAPP(c_member(_u13947), _u13948), hAPP(c_Relation_ODomain(_u13947, _u13947), _u13949))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13947, _u13947)), hAPP(hAPP(c_Product__Type_OPair(_u13947, _u13947), _u13948), _u13950)), c_Transitive__Closure_Ortrancl(_u13947, _u13949))) | ( _u13948 = _u13950) )).
% 43.38/43.64 cnf(matrix-6250, plain, ( hBOOL(hAPP(hAPP(c_member(_u13947), _u13948), hAPP(c_Relation_ODomain(_u13947, _u13947), _u13949))) | ( _u13948 != _u13950) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13947, _u13947)), hAPP(hAPP(c_Product__Type_OPair(_u13947, _u13947), _u13948), _u13950)), c_Transitive__Closure_Ortrancl(_u13947, _u13949))) )).
% 43.38/43.65 cnf(matrix-6251, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13951, _u13951)), hAPP(hAPP(c_Product__Type_OPair(_u13951, _u13951), _u13952), _u13953)), c_Transitive__Closure_Ortrancl(_u13951, _u13954))) | ~hBOOL(hAPP(hAPP(c_member(_u13951), _u13953), c_Wellfounded_Oacc(_u13951, _u13954))) | hBOOL(hAPP(hAPP(c_member(_u13951), _u13952), c_Wellfounded_Oacc(_u13951, _u13954))) )).
% 43.38/43.65 cnf(matrix-6252, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u13955), _u13956), c_Wellfounded_Oacc(_u13955, _u13957))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13955, _u13955)), hAPP(hAPP(c_Product__Type_OPair(_u13955, _u13955), _u13958), _u13956)), c_Transitive__Closure_Ortrancl(_u13955, _u13957))) | hBOOL(hAPP(hAPP(c_member(_u13955), _u13958), c_Wellfounded_Oacc(_u13955, _u13957))) )).
% 43.38/43.65 cnf(matrix-6253, plain, ( ~c_Wellfounded_Owf(_u13963, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13963, _u13963)), hAPP(hAPP(c_Product__Type_OPair(_u13963, _u13963), _u13965), _u13967)), _u13969)) | c_Wellfounded_Owf(_u13963, _u13969) )).
% 43.38/43.65 cnf(matrix-6254, plain, ( ~c_Wellfounded_Owf(_u13963, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13963, _u13963)), hAPP(hAPP(c_Product__Type_OPair(_u13963, _u13963), _u13965), _u13967)), _u13969)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13963, _u13963)), hAPP(hAPP(c_Product__Type_OPair(_u13963, _u13963), _u13967), _u13965)), c_Transitive__Closure_Ortrancl(_u13963, _u13969))) )).
% 43.38/43.65 cnf(matrix-6255, plain, ( ~c_Wellfounded_Owf(_u13964, _u13970) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13964, _u13964)), hAPP(hAPP(c_Product__Type_OPair(_u13964, _u13964), _u13968), _u13966)), c_Transitive__Closure_Ortrancl(_u13964, _u13970))) | c_Wellfounded_Owf(_u13964, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13964, _u13964)), hAPP(hAPP(c_Product__Type_OPair(_u13964, _u13964), _u13966), _u13968)), _u13970)) )).
% 43.38/43.65 cnf(matrix-6256, plain, ( ~c_Wellfounded_Oacyclic(_u13975, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13975, _u13975)), hAPP(hAPP(c_Product__Type_OPair(_u13975, _u13975), _u13977), _u13979)), _u13981)) | c_Wellfounded_Oacyclic(_u13975, _u13981) )).
% 43.38/43.65 cnf(matrix-6257, plain, ( ~c_Wellfounded_Oacyclic(_u13975, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13975, _u13975)), hAPP(hAPP(c_Product__Type_OPair(_u13975, _u13975), _u13977), _u13979)), _u13981)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13975, _u13975)), hAPP(hAPP(c_Product__Type_OPair(_u13975, _u13975), _u13979), _u13977)), c_Transitive__Closure_Ortrancl(_u13975, _u13981))) )).
% 43.38/43.65 cnf(matrix-6258, plain, ( ~c_Wellfounded_Oacyclic(_u13976, _u13982) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u13976, _u13976)), hAPP(hAPP(c_Product__Type_OPair(_u13976, _u13976), _u13980), _u13978)), c_Transitive__Closure_Ortrancl(_u13976, _u13982))) | c_Wellfounded_Oacyclic(_u13976, hAPP(hAPP(c_Set_Oinsert(tc_prod(_u13976, _u13976)), hAPP(hAPP(c_Product__Type_OPair(_u13976, _u13976), _u13978), _u13980)), _u13982)) )).
% 43.38/43.65 cnf(matrix-6259, plain, ( c_Relation_Orefl__on(_u13983, c_Orderings_Otop__class_Otop(tc_fun(_u13983, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u13983, _u13983), tc_HOL_Obool)), _u13984), c_Relation_OId(_u13983))) )).
% 43.38/43.65 cnf(matrix-6260, plain, ( ( c_Relation_OId(_u13985) = hAPP(c_Set_OCollect(tc_prod(_u13985, _u13985)), hAPP(hAPP(c_COMBB(tc_fun(_u13985, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u13985, _u13985)), c_HOL_OEx(_u13985)), hAPP(hAPP(c_COMBC(tc_prod(_u13985, _u13985), tc_fun(_u13985, tc_prod(_u13985, _u13985)), tc_fun(_u13985, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u13985, _u13985), tc_HOL_Obool), tc_fun(tc_fun(_u13985, tc_prod(_u13985, _u13985)), tc_fun(_u13985, tc_HOL_Obool)), tc_prod(_u13985, _u13985)), c_COMBB(tc_prod(_u13985, _u13985), tc_HOL_Obool, _u13985)), c_fequal)), hAPP(hAPP(c_COMBS(_u13985, _u13985, tc_prod(_u13985, _u13985)), c_Product__Type_OPair(_u13985, _u13985)), c_COMBI(_u13985)))))) )).
% 43.38/43.65 cnf(matrix-6261, plain, ( c_Relation_Oirrefl(_u13986, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u13986, _u13986), tc_HOL_Obool)), _u13987), c_Relation_OId(_u13986))) )).
% 43.38/43.65 cnf(matrix-6262, 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), _u13990), _u13992)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13990), _u13992)) )).
% 43.38/43.65 cnf(matrix-6263, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u13991), _u13993)) | 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), _u13991), _u13993)), c_Transitive__Closure_Ortrancl(tc_Nat_Onat, c_Wellfounded_Opred__nat))) )).
% 43.38/43.65 cnf(matrix-6264, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u13994, _u13994)), hAPP(hAPP(c_Product__Type_OPair(_u13994, _u13994), _u13995), _u13996)), c_Transitive__Closure_Ortrancl(_u13994, _u13997))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u13994, _u13994), tc_HOL_Obool)), _u13997), hAPP(hAPP(c_Product__Type_OSigma(_u13994, _u13994), _u13998), hAPP(c_COMBK(tc_fun(_u13994, tc_HOL_Obool), _u13994), _u13998)))) | ( _u13995 = _u13996) | hBOOL(hAPP(hAPP(c_member(_u13994), _u13995), _u13998)) )).
% 43.38/43.65 cnf(matrix-6265, plain, ( ( c_Random_Olog(_u14001, _u14003) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14001), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 43.38/43.65 cnf(matrix-6266, plain, ( ( c_Random_Olog(_u14001, _u14003) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14003), _u14001)) )).
% 43.38/43.65 cnf(matrix-6267, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u14002), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14004), _u14002)) | ( c_Random_Olog(_u14002, _u14004) = 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(_u14002, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u14004), _u14002)))) )).
% 43.38/43.65 cnf(matrix-6268, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14008), _u14010)) | ( c_Random_Ominus__shift(_u14012, _u14008, _u14010) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14012), _u14008)), _u14010)) )).
% 43.38/43.65 cnf(matrix-6269, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u14009), _u14011)) | ( c_Random_Ominus__shift(_u14013, _u14009, _u14011) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u14009), _u14011)) )).
% 43.38/43.65 cnf(matrix-6270, plain, ( ( _u14016 != _u14018) | ( c_Random_Oinc__shift(_u14016, _u14018) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)) )).
% 43.38/43.65 cnf(matrix-6271, plain, ( ( _u14017 = _u14019) | ( c_Random_Oinc__shift(_u14017, _u14019) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u14019), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))) )).
% 43.38/43.65 cnf(matrix-6272, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u14020)) | 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(_u14020), _u14021))), _u14020)) )).
% 43.38/43.65 cnf(matrix-6273, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14022, _u14022), _u14023)), c_Transitive__Closure_Ortrancl(_u14022, _u14023)) != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u14022, _u14022), tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14022, _u14022)), hAPP(hAPP(c_Product__Type_OPair(_u14022, _u14022), _u14024), _u14024)), c_Transitive__Closure_Otrancl(_u14022, _u14023))) )).
% 43.38/43.65 cnf(matrix-6274, plain, ( ( c_Transitive__Closure_Ortrancl(_u14025, hAPP(c_Relation_Oconverse(_u14025, _u14025), _u14026)) = hAPP(c_Relation_Oconverse(_u14025, _u14025), c_Transitive__Closure_Ortrancl(_u14025, _u14026))) )).
% 43.38/43.65 cnf(matrix-6275, plain, ( ( hAPP(c_Relation_Oconverse(_u14027, _u14027), c_Relation_OId(_u14027)) = c_Relation_OId(_u14027)) )).
% 43.38/43.65 cnf(matrix-6276, plain, ( ( hAPP(c_Relation_Oconverse(_u14028, _u14029), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14028, _u14029), tc_HOL_Obool)), _u14030), _u14031)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14029, _u14028), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14028, _u14029), _u14030)), hAPP(c_Relation_Oconverse(_u14028, _u14029), _u14031))) )).
% 43.38/43.65 cnf(matrix-6277, plain, ( ( c_Transitive__Closure_Otrancl(_u14032, hAPP(c_Relation_Oconverse(_u14032, _u14032), _u14033)) = hAPP(c_Relation_Oconverse(_u14032, _u14032), c_Transitive__Closure_Otrancl(_u14032, _u14033))) )).
% 43.38/43.65 cnf(matrix-6278, plain, ( ~c_Wellfounded_Oacyclic(_u14036, hAPP(c_Relation_Oconverse(_u14036, _u14036), _u14038)) | c_Wellfounded_Oacyclic(_u14036, _u14038) )).
% 43.38/43.65 cnf(matrix-6279, plain, ( ~c_Wellfounded_Oacyclic(_u14037, _u14039) | c_Wellfounded_Oacyclic(_u14037, hAPP(c_Relation_Oconverse(_u14037, _u14037), _u14039)) )).
% 43.38/43.65 cnf(matrix-6280, plain, ( ( hAPP(c_Relation_Oconverse(_u14040, _u14041), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14042, tc_fun(tc_prod(_u14040, _u14041), tc_HOL_Obool)), _u14043), _u14044)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14042, tc_fun(tc_prod(_u14041, _u14040), tc_HOL_Obool)), _u14043), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14040, _u14041), tc_HOL_Obool), tc_fun(tc_prod(_u14041, _u14040), tc_HOL_Obool), _u14042), c_Relation_Oconverse(_u14040, _u14041)), _u14044))) )).
% 43.38/43.65 cnf(matrix-6281, plain, ( ( hAPP(c_Relation_Oconverse(_u14045, _u14046), hAPP(hAPP(c_Relation_Orel__comp(_u14045, _u14047, _u14046), _u14048), _u14049)) = hAPP(hAPP(c_Relation_Orel__comp(_u14046, _u14047, _u14045), hAPP(c_Relation_Oconverse(_u14047, _u14046), _u14049)), hAPP(c_Relation_Oconverse(_u14045, _u14047), _u14048))) )).
% 43.38/43.65 cnf(matrix-6282, plain, ( ( hAPP(c_Relation_Oconverse(_u14050, _u14050), c_Relation_OId__on(_u14050, _u14051)) = c_Relation_OId__on(_u14050, _u14051)) )).
% 43.38/43.65 cnf(matrix-6283, plain, ( ( hAPP(c_Relation_Oconverse(_u14052, _u14052), hAPP(hAPP(c_Relation_Oinv__image(_u14053, _u14052), _u14054), _u14055)) = hAPP(hAPP(c_Relation_Oinv__image(_u14053, _u14052), hAPP(c_Relation_Oconverse(_u14053, _u14053), _u14054)), _u14055)) )).
% 43.38/43.65 cnf(matrix-6284, plain, ( ( hAPP(c_Relation_Oconverse(_u14056, _u14057), hAPP(c_Relation_Oconverse(_u14057, _u14056), _u14058)) = _u14058) )).
% 43.38/43.65 cnf(matrix-6285, plain, ( ( hAPP(c_Relation_Oconverse(_u14059, _u14060), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14059, _u14060), tc_HOL_Obool)), _u14061), _u14062)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u14060, _u14059), tc_HOL_Obool)), hAPP(c_Relation_Oconverse(_u14059, _u14060), _u14061)), hAPP(c_Relation_Oconverse(_u14059, _u14060), _u14062))) )).
% 43.38/43.65 cnf(matrix-6286, plain, ( ( hAPP(c_Relation_OField(_u14063), hAPP(c_Relation_Oconverse(_u14063, _u14063), _u14064)) = hAPP(c_Relation_OField(_u14063), _u14064)) )).
% 43.38/43.65 cnf(matrix-6287, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14068, _u14070)), hAPP(c_Relation_Oconverse(_u14070, _u14068), _u14072))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14070, _u14068)), _u14072)) )).
% 43.38/43.65 cnf(matrix-6288, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14071, _u14069)), _u14073)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14069, _u14071)), hAPP(c_Relation_Oconverse(_u14071, _u14069), _u14073))) )).
% 43.38/43.65 cnf(matrix-6289, plain, ( ~c_Relation_Orefl__on(_u14077, _u14079, hAPP(c_Relation_Oconverse(_u14077, _u14077), _u14081)) | c_Relation_Orefl__on(_u14077, _u14079, _u14081) )).
% 43.38/43.65 cnf(matrix-6290, plain, ( ~c_Relation_Orefl__on(_u14078, _u14080, _u14082) | c_Relation_Orefl__on(_u14078, _u14080, hAPP(c_Relation_Oconverse(_u14078, _u14078), _u14082)) )).
% 43.38/43.65 cnf(matrix-6291, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14083, _u14084)), hAPP(hAPP(c_Product__Type_OPair(_u14083, _u14084), _u14085), _u14086)), hAPP(c_Relation_Oconverse(_u14084, _u14083), _u14087))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14084, _u14083)), hAPP(hAPP(c_Product__Type_OPair(_u14084, _u14083), _u14086), _u14085)), _u14087)) )).
% 43.38/43.65 cnf(matrix-6292, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14088, _u14089)), hAPP(hAPP(c_Product__Type_OPair(_u14088, _u14089), _u14090), _u14091)), _u14092)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14089, _u14088)), hAPP(hAPP(c_Product__Type_OPair(_u14089, _u14088), _u14091), _u14090)), hAPP(c_Relation_Oconverse(_u14088, _u14089), _u14092))) )).
% 43.38/43.65 cnf(matrix-6293, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14098, _u14100)), hAPP(hAPP(c_Product__Type_OPair(_u14098, _u14100), _u14102), _u14104)), hAPP(c_Relation_Oconverse(_u14100, _u14098), _u14106))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14100, _u14098)), hAPP(hAPP(c_Product__Type_OPair(_u14100, _u14098), _u14104), _u14102)), _u14106)) )).
% 43.38/43.65 cnf(matrix-6294, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14101, _u14099)), hAPP(hAPP(c_Product__Type_OPair(_u14101, _u14099), _u14105), _u14103)), _u14107)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14099, _u14101)), hAPP(hAPP(c_Product__Type_OPair(_u14099, _u14101), _u14103), _u14105)), hAPP(c_Relation_Oconverse(_u14101, _u14099), _u14107))) )).
% 43.38/43.65 cnf(matrix-6295, plain, ( ~c_Wellfounded_Owf(_u14108, hAPP(c_Relation_Oconverse(_u14108, _u14108), _u14109)) | c_Wellfounded_Owf(_u14108, hAPP(c_Relation_Oconverse(_u14108, _u14108), c_Transitive__Closure_Otrancl(_u14108, _u14109))) )).
% 43.38/43.65 cnf(matrix-6296, plain, ( ~c_Equiv__Relations_Oequiv(_u14110, _u14111, _u14112) | ( hAPP(hAPP(c_Relation_Orel__comp(_u14110, _u14110, _u14110), hAPP(c_Relation_Oconverse(_u14110, _u14110), _u14112)), _u14112) = _u14112) )).
% 43.38/43.65 cnf(matrix-6297, plain, ( ( hAPP(c_Relation_ORange(_u14113, _u14114), hAPP(c_Relation_Oconverse(_u14114, _u14113), _u14115)) = hAPP(c_Relation_ODomain(_u14114, _u14113), _u14115)) )).
% 43.38/43.65 cnf(matrix-6298, plain, ( ( hAPP(c_Relation_ODomain(_u14116, _u14117), hAPP(c_Relation_Oconverse(_u14117, _u14116), _u14118)) = hAPP(c_Relation_ORange(_u14117, _u14116), _u14118)) )).
% 43.38/43.65 cnf(matrix-6299, plain, ( ( hAPP(c_Relation_ORange(_u14119, _u14120), _u14121) = hAPP(c_Relation_ODomain(_u14120, _u14119), hAPP(c_Relation_Oconverse(_u14119, _u14120), _u14121))) )).
% 43.38/43.65 cnf(matrix-6300, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14122, _u14122)), hAPP(hAPP(c_Product__Type_OPair(_u14122, _u14122), _u14123), _u14124)), c_Transitive__Closure_Ortrancl(_u14122, _u14125))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14122, _u14122)), hAPP(hAPP(c_Product__Type_OPair(_u14122, _u14122), _u14124), _u14123)), c_Transitive__Closure_Ortrancl(_u14122, hAPP(c_Relation_Oconverse(_u14122, _u14122), _u14125)))) )).
% 43.38/43.65 cnf(matrix-6301, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14126, _u14126)), hAPP(hAPP(c_Product__Type_OPair(_u14126, _u14126), _u14127), _u14128)), c_Transitive__Closure_Ortrancl(_u14126, hAPP(c_Relation_Oconverse(_u14126, _u14126), _u14129)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14126, _u14126)), hAPP(hAPP(c_Product__Type_OPair(_u14126, _u14126), _u14128), _u14127)), c_Transitive__Closure_Ortrancl(_u14126, _u14129))) )).
% 43.38/43.65 cnf(matrix-6302, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14130, _u14130)), hAPP(hAPP(c_Product__Type_OPair(_u14130, _u14130), _u14131), _u14132)), c_Transitive__Closure_Otrancl(_u14130, hAPP(c_Relation_Oconverse(_u14130, _u14130), _u14133)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14130, _u14130)), hAPP(hAPP(c_Product__Type_OPair(_u14130, _u14130), _u14131), _u14132)), hAPP(c_Relation_Oconverse(_u14130, _u14130), c_Transitive__Closure_Otrancl(_u14130, _u14133)))) )).
% 43.38/43.65 cnf(matrix-6303, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14136)), hAPP(c_Relation_Oconverse(_u14134, _u14134), c_Transitive__Closure_Otrancl(_u14134, _u14137)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14134, _u14134)), hAPP(hAPP(c_Product__Type_OPair(_u14134, _u14134), _u14135), _u14136)), c_Transitive__Closure_Otrancl(_u14134, hAPP(c_Relation_Oconverse(_u14134, _u14134), _u14137)))) )).
% 43.38/43.65 cnf(matrix-6304, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14143, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14145, _u14143, _u14147), _u14149)), _u14151)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14145, tc_HOL_Obool)), _u14149), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14145, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14143, _u14145, hAPP(c_Relation_Oconverse(_u14145, _u14143), _u14147)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14143, tc_HOL_Obool)), _u14151))))) )).
% 43.38/43.65 cnf(matrix-6305, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14146, tc_HOL_Obool)), _u14150), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14146, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14144, _u14146, hAPP(c_Relation_Oconverse(_u14146, _u14144), _u14148)), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14144, tc_HOL_Obool)), _u14152))))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14144, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14146, _u14144, _u14148), _u14150)), _u14152)) )).
% 43.38/43.65 cnf(matrix-6306, plain, ( ~c_Relation_Orefl__on(_u14153, _u14154, _u14155) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14153, _u14153), tc_HOL_Obool)), _u14155), hAPP(hAPP(c_Relation_Orel__comp(_u14153, _u14153, _u14153), hAPP(c_Relation_Oconverse(_u14153, _u14153), _u14155)), _u14155))) )).
% 43.38/43.65 cnf(matrix-6307, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14156, _u14156, _u14156), hAPP(c_Relation_Oconverse(_u14156, _u14156), _u14157)), _u14157) != _u14157) | ( hAPP(c_Relation_ODomain(_u14156, _u14156), _u14157) != _u14158) | c_Equiv__Relations_Oequiv(_u14156, _u14158, _u14157) )).
% 43.38/43.65 cnf(matrix-6308, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(_u14159, _u14159)), _u14160)) | ~c_Wellfounded_Oacyclic(_u14159, _u14160) | c_Wellfounded_Owf(_u14159, hAPP(c_Relation_Oconverse(_u14159, _u14159), _u14160)) )).
% 43.38/43.65 cnf(matrix-6309, plain, ( ( hAPP(c_Relation_Oconverse(_u14161, _u14162), _u14163) = hAPP(c_Set_OCollect(tc_prod(_u14162, _u14161)), hAPP(c_Product__Type_Oprod_Oprod__case(_u14162, _u14161, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u14162, tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_fun(_u14161, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14161, tc_fun(tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_fun(_u14161, tc_HOL_Obool)), _u14162), c_COMBC(_u14161, tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14161, tc_prod(_u14161, _u14162)), tc_fun(_u14161, tc_fun(tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_HOL_Obool)), _u14162), hAPP(c_COMBB(tc_prod(_u14161, _u14162), tc_fun(tc_fun(tc_prod(_u14161, _u14162), tc_HOL_Obool), tc_HOL_Obool), _u14161), c_member(tc_prod(_u14161, _u14162)))), hAPP(c_COMBC(_u14161, _u14162, tc_prod(_u14161, _u14162)), c_Product__Type_OPair(_u14161, _u14162))))), _u14163)))) )).
% 43.38/43.65 cnf(matrix-6310, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14165, _u14165)), hAPP(hAPP(c_Product__Type_OPair(_u14165, _u14165), hAPP(_u14166, hAPP(c_Nat_OSuc, skolem349(_u14169, _u14168, _u14167, _u14166, _u14165)))), hAPP(_u14166, skolem349(_u14169, _u14168, _u14167, _u14166, _u14165)))), c_Transitive__Closure_Ortrancl(_u14165, _u14167))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14165, _u14165)), hAPP(hAPP(c_Product__Type_OPair(_u14165, _u14165), hAPP(_u14166, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14168), _u14169))), hAPP(_u14166, _u14168))), c_Transitive__Closure_Ortrancl(_u14165, _u14167))) )).
% 43.38/43.65 cnf(matrix-6311, plain, ( ~c_Relation_Ototal__on(_u14173, _u14175, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14173, _u14173), tc_HOL_Obool)), _u14177), c_Relation_OId(_u14173))) | c_Relation_Ototal__on(_u14173, _u14175, _u14177) )).
% 43.38/43.65 cnf(matrix-6312, plain, ( ~c_Relation_Ototal__on(_u14174, _u14176, _u14178) | c_Relation_Ototal__on(_u14174, _u14176, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u14174, _u14174), tc_HOL_Obool)), _u14178), c_Relation_OId(_u14174))) )).
% 43.38/43.65 cnf(matrix-6313, plain, ( c_Relation_Ototal__on(_u14179, c_Orderings_Obot__class_Obot(tc_fun(_u14179, tc_HOL_Obool)), _u14180) )).
% 43.38/43.65 cnf(matrix-6314, plain, ( ~c_Relation_Ototal__on(_u14184, _u14186, hAPP(c_Relation_Oconverse(_u14184, _u14184), _u14188)) | c_Relation_Ototal__on(_u14184, _u14186, _u14188) )).
% 43.38/43.65 cnf(matrix-6315, plain, ( ~c_Relation_Ototal__on(_u14185, _u14187, _u14189) | c_Relation_Ototal__on(_u14185, _u14187, hAPP(c_Relation_Oconverse(_u14185, _u14185), _u14189)) )).
% 43.38/43.65 cnf(matrix-6316, plain, ( ~c_Relation_Ototal__on(_u14197, _u14199, _u14201) | ~hBOOL(hAPP(hAPP(c_member(_u14197), _u14191), _u14199)) | ~hBOOL(hAPP(hAPP(c_member(_u14197), _u14190), _u14199)) | ( _u14191 = _u14190) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14197, _u14197)), hAPP(hAPP(c_Product__Type_OPair(_u14197, _u14197), _u14191), _u14190)), _u14201)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14197, _u14197)), hAPP(hAPP(c_Product__Type_OPair(_u14197, _u14197), _u14190), _u14191)), _u14201)) )).
% 43.38/43.65 cnf(matrix-6317, plain, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | hBOOL(hAPP(hAPP(c_member(_u14198), skolem350(_u14202, _u14200, _u14198)), _u14200)) )).
% 43.38/43.65 cnf(matrix-6318, plain, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | hBOOL(hAPP(hAPP(c_member(_u14198), skolem351(_u14202, _u14200, _u14198)), _u14200)) )).
% 43.38/43.65 cnf(matrix-6319, plain, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | ( skolem350(_u14202, _u14200, _u14198) != skolem351(_u14202, _u14200, _u14198)) )).
% 43.38/43.65 cnf(matrix-6320, plain, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), hAPP(hAPP(c_Product__Type_OPair(_u14198, _u14198), skolem350(_u14202, _u14200, _u14198)), skolem351(_u14202, _u14200, _u14198))), _u14202)) )).
% 43.38/43.65 cnf(matrix-6321, plain, ( c_Relation_Ototal__on(_u14198, _u14200, _u14202) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14198, _u14198)), hAPP(hAPP(c_Product__Type_OPair(_u14198, _u14198), skolem351(_u14202, _u14200, _u14198)), skolem350(_u14202, _u14200, _u14198))), _u14202)) )).
% 43.38/43.65 cnf(matrix-6322, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14203, _u14203)), _u14204), c_Transitive__Closure_Ortrancl(_u14203, _u14205))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14203, _u14203)), _u14204), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14203, _u14203), 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(_u14203, _u14203), tc_HOL_Obool), tc_fun(tc_prod(_u14203, _u14203), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14203, _u14203), tc_HOL_Obool)), _u14205)))) )).
% 43.38/43.65 cnf(matrix-6323, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14207, _u14207)), hAPP(hAPP(c_Product__Type_OPair(_u14207, _u14207), skolem352(_u14208, _u14207)), skolem352(_u14208, _u14207))), c_Transitive__Closure_Otrancl(_u14207, _u14208))) | c_Wellfounded_Oacyclic(_u14207, _u14208) )).
% 43.38/43.65 cnf(matrix-6324, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14209, _u14209), tc_HOL_Obool), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u14210) = _u14210) )).
% 43.38/43.65 cnf(matrix-6325, plain, ( ( hAPP(hAPP(c_Relation_Orel__comp(_u14211, _u14211, _u14211), _u14212), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14211, _u14211), tc_HOL_Obool), _u14213), _u14212)) = hAPP(hAPP(c_Relation_Orel__comp(_u14211, _u14211, _u14211), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14211, _u14211), tc_HOL_Obool), _u14213), _u14212)), _u14212)) )).
% 43.38/43.65 cnf(matrix-6326, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_fun(_u14214, _u14215), tc_fun(_u14214, _u14215)), _u14216), c_Fun_Ocomp(_u14215, _u14215, _u14214, _u14217)) = c_Fun_Ocomp(_u14215, _u14215, _u14214, hAPP(hAPP(c_Nat_Ocompow(_u14215, _u14215), _u14216), _u14217))) )).
% 43.38/43.65 cnf(matrix-6327, plain, ( ~c_Wellfounded_Owf(_u14218, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14218, _u14218), tc_HOL_Obool), _u14219), _u14220)) | c_Wellfounded_Owf(_u14218, _u14220) )).
% 43.38/43.65 cnf(matrix-6328, plain, ( ( hAPP(_u14221, hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14222, _u14222), _u14223), _u14221), _u14224)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(_u14222, _u14222), _u14223), _u14221), hAPP(_u14221, _u14224))) )).
% 43.38/43.65 cnf(matrix-6329, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14225, _u14225), _u14226), hAPP(hAPP(c_Nat_Ocompow(_u14225, _u14225), _u14227), _u14228)) = hAPP(hAPP(c_Nat_Ocompow(_u14225, _u14225), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u14227), _u14226)), _u14228)) )).
% 43.38/43.65 cnf(matrix-6330, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14229, _u14229), tc_HOL_Obool), _u14231), _u14232))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14229, _u14229)), _u14230), c_Transitive__Closure_Ortrancl(_u14229, _u14232))) )).
% 43.38/43.65 cnf(matrix-6331, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), _u14240), c_Transitive__Closure_Ortrancl(_u14238, _u14242))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14238, _u14238)), _u14240), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14238, _u14238), tc_HOL_Obool), skolem353(_u14242, _u14240, _u14238)), _u14242))) )).
% 43.38/43.65 cnf(matrix-6332, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14239, _u14239)), _u14241), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14239, _u14239), tc_HOL_Obool), _u14234), _u14243))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14239, _u14239)), _u14241), c_Transitive__Closure_Ortrancl(_u14239, _u14243))) )).
% 43.38/43.65 cnf(matrix-6333, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14244, _u14244), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14245)), _u14246) = hAPP(hAPP(c_Relation_Orel__comp(_u14244, _u14244, _u14244), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14244, _u14244), tc_HOL_Obool), _u14245), _u14246)), _u14246)) )).
% 43.38/43.65 cnf(matrix-6334, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14247, _u14247), tc_HOL_Obool), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14248), _u14249)), _u14250) = hAPP(hAPP(c_Relation_Orel__comp(_u14247, _u14247, _u14247), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14247, _u14247), tc_HOL_Obool), _u14248), _u14250)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14247, _u14247), tc_HOL_Obool), _u14249), _u14250))) )).
% 43.38/43.65 cnf(matrix-6335, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14251, _u14251), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14252) = c_Relation_OId(_u14251)) )).
% 43.38/43.65 cnf(matrix-6336, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u14253, _u14253)), hAPP(hAPP(c_Product__Type_OPair(_u14253, _u14253), _u14254), _u14254)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14253, _u14253), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14255))) )).
% 43.38/43.65 cnf(matrix-6337, plain, ( ( _u14257 = _u14258) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14256, _u14256)), hAPP(hAPP(c_Product__Type_OPair(_u14256, _u14256), _u14257), _u14258)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14256, _u14256), tc_HOL_Obool), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14259))) )).
% 43.38/43.65 cnf(matrix-6338, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), hAPP(hAPP(c_Product__Type_OPair(_u14260, _u14260), _u14261), _u14262)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14260, _u14260), tc_HOL_Obool), _u14263), _u14264))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), hAPP(hAPP(c_Product__Type_OPair(_u14260, _u14260), _u14262), _u14265)), _u14264)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14260, _u14260)), hAPP(hAPP(c_Product__Type_OPair(_u14260, _u14260), _u14261), _u14265)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14260, _u14260), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14263)), _u14264))) )).
% 43.38/43.65 cnf(matrix-6339, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14268)), _u14269)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14268), _u14270)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14266, _u14266), tc_HOL_Obool), _u14271), _u14269))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14266, _u14266)), hAPP(hAPP(c_Product__Type_OPair(_u14266, _u14266), _u14267), _u14270)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14266, _u14266), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14271)), _u14269))) )).
% 43.38/43.65 cnf(matrix-6340, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14272, _u14272), hAPP(c_Nat_OSuc, _u14273)), _u14274) = hAPP(c_Fun_Ocomp(_u14272, _u14272, _u14272, _u14274), hAPP(hAPP(c_Nat_Ocompow(_u14272, _u14272), _u14273), _u14274))) )).
% 43.38/43.65 cnf(matrix-6341, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14275, _u14275), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u14276), _u14277)), _u14278) = hAPP(c_Fun_Ocomp(_u14275, _u14275, _u14275, hAPP(hAPP(c_Nat_Ocompow(_u14275, _u14275), _u14276), _u14278)), hAPP(hAPP(c_Nat_Ocompow(_u14275, _u14275), _u14277), _u14278))) )).
% 43.38/43.65 cnf(matrix-6342, plain, ( ( hAPP(hAPP(c_Nat_Ocompow(_u14279, _u14279), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14280) = c_Fun_Oid(_u14279)) )).
% 43.38/43.65 cnf(matrix-6343, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), _u14288), c_Transitive__Closure_Otrancl(_u14286, _u14290))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), skolem354(_u14290, _u14288, _u14286))) )).
% 43.38/43.65 cnf(matrix-6344, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), _u14288), c_Transitive__Closure_Otrancl(_u14286, _u14290))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14286, _u14286)), _u14288), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14286, _u14286), tc_HOL_Obool), skolem354(_u14290, _u14288, _u14286)), _u14290))) )).
% 43.38/43.65 cnf(matrix-6345, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u14282)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14287, _u14287)), _u14289), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14287, _u14287), tc_HOL_Obool), _u14282), _u14291))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14287, _u14287)), _u14289), c_Transitive__Closure_Otrancl(_u14287, _u14291))) )).
% 43.38/43.65 cnf(matrix-6346, plain, ( ( c_Transitive__Closure_Ortrancl(_u14292, _u14293) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat, tc_fun(tc_prod(_u14292, _u14292), 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(_u14292, _u14292), tc_HOL_Obool), tc_fun(tc_prod(_u14292, _u14292), tc_HOL_Obool)), c_Nat_Ocompow(tc_prod(_u14292, _u14292), tc_HOL_Obool)), _u14293))) )).
% 43.38/43.65 cnf(matrix-6347, plain, ( ( c_Nat_Ofunpow(_u14294) = c_Nat_Ocompow(_u14294, _u14294)) )).
% 43.38/43.65 cnf(matrix-6348, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14300 = hAPP(c_Nat_OSuc, skolem356(_u14301, _u14300, _u14299, _u14298, _u14297))) )).
% 43.38/43.65 cnf(matrix-6349, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), skolem355(_u14301, _u14300, _u14299, _u14298, _u14297))), _u14301)) )).
% 43.38/43.65 cnf(matrix-6350, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14300 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), skolem355(_u14301, _u14300, _u14299, _u14298, _u14297)), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), skolem356(_u14301, _u14300, _u14299, _u14298, _u14297)), _u14301))) )).
% 43.38/43.65 cnf(matrix-6351, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14298 = _u14299) | ( _u14300 = hAPP(c_Nat_OSuc, skolem356(_u14301, _u14300, _u14299, _u14298, _u14297))) )).
% 43.38/43.65 cnf(matrix-6352, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14298 = _u14299) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), skolem355(_u14301, _u14300, _u14299, _u14298, _u14297))), _u14301)) )).
% 43.38/43.65 cnf(matrix-6353, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), _u14298), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), _u14300), _u14301))) | ( _u14298 = _u14299) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14297, _u14297)), hAPP(hAPP(c_Product__Type_OPair(_u14297, _u14297), skolem355(_u14301, _u14300, _u14299, _u14298, _u14297)), _u14299)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14297, _u14297), tc_HOL_Obool), skolem356(_u14301, _u14300, _u14299, _u14298, _u14297)), _u14301))) )).
% 43.38/43.65 cnf(matrix-6354, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14307 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u14307 = hAPP(c_Nat_OSuc, skolem358(_u14308, _u14307, _u14306, _u14305, _u14304))) )).
% 43.38/43.65 cnf(matrix-6355, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14307 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), skolem357(_u14308, _u14307, _u14306, _u14305, _u14304))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), skolem358(_u14308, _u14307, _u14306, _u14305, _u14304)), _u14308))) )).
% 43.38/43.65 cnf(matrix-6356, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14307 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), skolem357(_u14308, _u14307, _u14306, _u14305, _u14304)), _u14306)), _u14308)) )).
% 43.38/43.65 cnf(matrix-6357, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14305 = _u14306) | ( _u14307 = hAPP(c_Nat_OSuc, skolem358(_u14308, _u14307, _u14306, _u14305, _u14304))) )).
% 43.38/43.65 cnf(matrix-6358, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14305 = _u14306) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), skolem357(_u14308, _u14307, _u14306, _u14305, _u14304))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), skolem358(_u14308, _u14307, _u14306, _u14305, _u14304)), _u14308))) )).
% 43.38/43.65 cnf(matrix-6359, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), _u14305), _u14306)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14304, _u14304), tc_HOL_Obool), _u14307), _u14308))) | ( _u14305 = _u14306) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14304, _u14304)), hAPP(hAPP(c_Product__Type_OPair(_u14304, _u14304), skolem357(_u14308, _u14307, _u14306, _u14305, _u14304)), _u14306)), _u14308)) )).
% 43.38/43.65 cnf(matrix-6360, plain, ( ~c_Relation_Osingle__valued(_u14309, _u14310, hAPP(c_Relation_Oconverse(_u14310, _u14309), _u14311)) | ( hAPP(c_Relation_OImage(_u14310, _u14309, _u14311), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14310, tc_HOL_Obool)), _u14312), _u14313)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14309, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14310, _u14309, _u14311), _u14312)), hAPP(c_Relation_OImage(_u14310, _u14309, _u14311), _u14313))) )).
% 43.38/43.65 cnf(matrix-6361, plain, ( ~c_Relation_Osingle__valued(_u14314, _u14314, _u14315) | c_Relation_Osingle__valued(_u14314, _u14314, hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14314, _u14314), tc_HOL_Obool), _u14316), _u14315)) )).
% 43.38/43.65 cnf(matrix-6362, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u14317, _u14318), tc_HOL_Obool)), _u14319), _u14320)) | ~c_Relation_Osingle__valued(_u14317, _u14318, _u14320) | c_Relation_Osingle__valued(_u14317, _u14318, _u14319) )).
% 43.38/43.65 cnf(matrix-6363, plain, ( c_Relation_Osingle__valued(_u14321, _u14321, c_Relation_OId(_u14321)) )).
% 43.38/43.65 cnf(matrix-6364, plain, ( ~c_Relation_Osingle__valued(_u14322, _u14323, _u14324) | ~c_Relation_Osingle__valued(_u14323, _u14325, _u14326) | c_Relation_Osingle__valued(_u14322, _u14325, hAPP(hAPP(c_Relation_Orel__comp(_u14322, _u14323, _u14325), _u14324), _u14326)) )).
% 43.38/43.65 cnf(matrix-6365, plain, ( c_Relation_Osingle__valued(_u14327, _u14327, c_Relation_OId__on(_u14327, _u14328)) )).
% 43.38/43.65 cnf(matrix-6366, plain, ( ~c_Relation_Osingle__valued(_u14329, _u14330, _u14331) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14329, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14330), _u14332), _u14333)), _u14331)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14329, _u14330)), hAPP(hAPP(c_Product__Type_OPair(_u14329, _u14330), _u14332), _u14334)), _u14331)) | ( _u14333 = _u14334) )).
% 43.38/43.65 cnf(matrix-6367, plain, ( ~c_Relation_Osingle__valued(_u14344, _u14346, _u14348) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14344, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14344, _u14346), _u14337), _u14336)), _u14348)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14344, _u14346)), hAPP(hAPP(c_Product__Type_OPair(_u14344, _u14346), _u14337), _u14335)), _u14348)) | ( _u14336 = _u14335) )).
% 43.38/43.65 cnf(matrix-6368, plain, ( c_Relation_Osingle__valued(_u14345, _u14347, _u14349) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14345, _u14347)), hAPP(hAPP(c_Product__Type_OPair(_u14345, _u14347), skolem359(_u14349, _u14347, _u14345)), skolem360(_u14349, _u14347, _u14345))), _u14349)) )).
% 43.38/43.65 cnf(matrix-6369, plain, ( c_Relation_Osingle__valued(_u14345, _u14347, _u14349) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14345, _u14347)), hAPP(hAPP(c_Product__Type_OPair(_u14345, _u14347), skolem359(_u14349, _u14347, _u14345)), skolem361(_u14349, _u14347, _u14345))), _u14349)) )).
% 43.38/43.65 cnf(matrix-6370, plain, ( c_Relation_Osingle__valued(_u14345, _u14347, _u14349) | ( skolem360(_u14349, _u14347, _u14345) != skolem361(_u14349, _u14347, _u14345)) )).
% 43.38/43.65 cnf(matrix-6371, plain, ( ~c_Relation_Osingle__valued(_u14350, _u14350, _u14351) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14350, _u14350)), hAPP(hAPP(c_Product__Type_OPair(_u14350, _u14350), _u14352), _u14353)), c_Transitive__Closure_Ortrancl(_u14350, _u14351))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14350, _u14350)), hAPP(hAPP(c_Product__Type_OPair(_u14350, _u14350), _u14352), _u14354)), c_Transitive__Closure_Ortrancl(_u14350, _u14351))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14350, _u14350)), hAPP(hAPP(c_Product__Type_OPair(_u14350, _u14350), _u14353), _u14354)), c_Transitive__Closure_Ortrancl(_u14350, _u14351))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14350, _u14350)), hAPP(hAPP(c_Product__Type_OPair(_u14350, _u14350), _u14354), _u14353)), c_Transitive__Closure_Ortrancl(_u14350, _u14351))) )).
% 43.38/43.65 cnf(matrix-6372, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14357, _u14357), tc_HOL_Obool)), _u14360), _u14361)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, _u14360))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), skolem362(_u14361, _u14360, _u14359, _u14358, _u14357)), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, _u14360))) )).
% 43.38/43.65 cnf(matrix-6373, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14357, _u14357), tc_HOL_Obool)), _u14360), _u14361)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, _u14360))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), skolem363(_u14361, _u14360, _u14359, _u14358, _u14357)), skolem362(_u14361, _u14360, _u14359, _u14358, _u14357))), _u14361)) )).
% 43.38/43.65 cnf(matrix-6374, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14357, _u14357), tc_HOL_Obool)), _u14360), _u14361)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14357, _u14357)), hAPP(hAPP(c_Product__Type_OPair(_u14357, _u14357), _u14358), _u14359)), c_Transitive__Closure_Ortrancl(_u14357, _u14360))) | ( skolem363(_u14361, _u14360, _u14359, _u14358, _u14357) != skolem362(_u14361, _u14360, _u14359, _u14358, _u14357)) )).
% 43.38/43.65 cnf(matrix-6375, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), _u14367), _u14368)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, _u14367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), skolem364(_u14368, _u14367, _u14366, _u14365, _u14364))), c_Transitive__Closure_Ortrancl(_u14364, _u14367))) )).
% 43.38/43.65 cnf(matrix-6376, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), _u14367), _u14368)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, _u14367))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), skolem364(_u14368, _u14367, _u14366, _u14365, _u14364)), skolem365(_u14368, _u14367, _u14366, _u14365, _u14364))), _u14368)) )).
% 43.38/43.65 cnf(matrix-6377, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u14364, _u14364), tc_HOL_Obool)), _u14367), _u14368)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14364, _u14364)), hAPP(hAPP(c_Product__Type_OPair(_u14364, _u14364), _u14365), _u14366)), c_Transitive__Closure_Ortrancl(_u14364, _u14367))) | ( skolem364(_u14368, _u14367, _u14366, _u14365, _u14364) != skolem365(_u14368, _u14367, _u14366, _u14365, _u14364)) )).
% 43.38/43.65 cnf(matrix-6378, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14370, _u14370)), hAPP(hAPP(c_Product__Type_OPair(_u14370, _u14370), _u14371), _u14372)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14370, _u14370), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14373)), _u14374))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14370, _u14370)), hAPP(hAPP(c_Product__Type_OPair(_u14370, _u14370), _u14371), skolem366(_u14374, _u14373, _u14372, _u14371, _u14370))), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14370, _u14370), tc_HOL_Obool), _u14373), _u14374))) )).
% 43.38/43.65 cnf(matrix-6379, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14370, _u14370)), hAPP(hAPP(c_Product__Type_OPair(_u14370, _u14370), _u14371), _u14372)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14370, _u14370), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14373)), _u14374))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14370, _u14370)), hAPP(hAPP(c_Product__Type_OPair(_u14370, _u14370), skolem366(_u14374, _u14373, _u14372, _u14371, _u14370)), _u14372)), _u14374)) )).
% 43.38/43.65 cnf(matrix-6380, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), _u14377), _u14378)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14376, _u14376), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14379)), _u14380))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), _u14377), skolem367(_u14380, _u14379, _u14378, _u14377, _u14376))), _u14380)) )).
% 43.38/43.65 cnf(matrix-6381, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), _u14377), _u14378)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14376, _u14376), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14379)), _u14380))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14376, _u14376)), hAPP(hAPP(c_Product__Type_OPair(_u14376, _u14376), skolem367(_u14380, _u14379, _u14378, _u14377, _u14376)), _u14378)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14376, _u14376), tc_HOL_Obool), _u14379), _u14380))) )).
% 43.38/43.65 cnf(matrix-6382, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14382, _u14382)), hAPP(hAPP(c_Product__Type_OPair(_u14382, _u14382), _u14383), _u14384)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14382, _u14382), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14385)), _u14386))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14382, _u14382)), hAPP(hAPP(c_Product__Type_OPair(_u14382, _u14382), _u14383), skolem368(_u14386, _u14385, _u14384, _u14383, _u14382))), _u14386)) )).
% 43.38/43.65 cnf(matrix-6383, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14382, _u14382)), hAPP(hAPP(c_Product__Type_OPair(_u14382, _u14382), _u14383), _u14384)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14382, _u14382), tc_HOL_Obool), hAPP(c_Nat_OSuc, _u14385)), _u14386))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14382, _u14382)), hAPP(hAPP(c_Product__Type_OPair(_u14382, _u14382), skolem368(_u14386, _u14385, _u14384, _u14383, _u14382)), _u14384)), hAPP(hAPP(c_Nat_Ocompow(tc_prod(_u14382, _u14382), tc_HOL_Obool), _u14385), _u14386))) )).
% 43.38/43.65 cnf(matrix-6384, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14388, _u14388)), hAPP(hAPP(c_Product__Type_OPair(_u14388, _u14388), _u14389), _u14390)), c_Transitive__Closure_Otrancl(_u14388, _u14391))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14388, _u14388)), hAPP(hAPP(c_Product__Type_OPair(_u14388, _u14388), _u14389), skolem369(_u14391, _u14390, _u14389, _u14388))), c_Transitive__Closure_Ortrancl(_u14388, _u14391))) )).
% 43.38/43.65 cnf(matrix-6385, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14388, _u14388)), hAPP(hAPP(c_Product__Type_OPair(_u14388, _u14388), _u14389), _u14390)), c_Transitive__Closure_Otrancl(_u14388, _u14391))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14388, _u14388)), hAPP(hAPP(c_Product__Type_OPair(_u14388, _u14388), skolem369(_u14391, _u14390, _u14389, _u14388)), _u14390)), _u14391)) )).
% 43.38/43.65 cnf(matrix-6386, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14393), _u14394), _u14395)), c_Transitive__Closure_Otrancl(_u14393, _u14396))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14393), _u14394), skolem370(_u14396, _u14395, _u14394, _u14393))), _u14396)) )).
% 43.38/43.65 cnf(matrix-6387, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14393), _u14394), _u14395)), c_Transitive__Closure_Otrancl(_u14393, _u14396))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14393, _u14393)), hAPP(hAPP(c_Product__Type_OPair(_u14393, _u14393), skolem370(_u14396, _u14395, _u14394, _u14393)), _u14395)), c_Transitive__Closure_Ortrancl(_u14393, _u14396))) )).
% 43.38/43.65 cnf(matrix-6388, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14398, _u14398)), _u14399), c_Relation_OId(_u14398))) | ( _u14399 = hAPP(hAPP(c_Product__Type_OPair(_u14398, _u14398), skolem371(_u14399, _u14398)), skolem371(_u14399, _u14398))) )).
% 43.38/43.65 cnf(matrix-6389, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem372(_u14405, _u14404, _u14403, _u14402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem373(_u14405, _u14404, _u14403, _u14402))) )).
% 43.38/43.65 cnf(matrix-6390, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem372(_u14405, _u14404, _u14403, _u14402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem373(_u14405, _u14404, _u14403, _u14402)), _u14403)) )).
% 43.38/43.65 cnf(matrix-6391, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem372(_u14405, _u14404, _u14403, _u14402))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | ( hAPP(_u14404, skolem373(_u14405, _u14404, _u14403, _u14402)) = _u14405) )).
% 43.38/43.65 cnf(matrix-6392, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem373(_u14405, _u14404, _u14403, _u14402))) )).
% 43.38/43.65 cnf(matrix-6393, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem373(_u14405, _u14404, _u14403, _u14402)), _u14403)) )).
% 43.38/43.65 cnf(matrix-6394, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | ( hAPP(_u14404, skolem373(_u14405, _u14404, _u14403, _u14402)) = _u14405) )).
% 43.38/43.65 cnf(matrix-6395, 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(_u14404, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14404, skolem372(_u14405, _u14404, _u14403, _u14402))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u14402), skolem373(_u14405, _u14404, _u14403, _u14402))) )).
% 43.38/43.65 cnf(matrix-6396, 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(_u14404, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14404, skolem372(_u14405, _u14404, _u14403, _u14402))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem373(_u14405, _u14404, _u14403, _u14402)), _u14403)) )).
% 43.38/43.65 cnf(matrix-6397, 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(_u14404, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), skolem372(_u14405, _u14404, _u14403, _u14402)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(_u14404, skolem372(_u14405, _u14404, _u14403, _u14402))))), c_Groups_Oone__class_Oone(tc_Int_Oint))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u14402), _u14403)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(_u14404, _u14402)), _u14405)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u14405), hAPP(_u14404, _u14403))) | ( hAPP(_u14404, skolem373(_u14405, _u14404, _u14403, _u14402)) = _u14405) )).
% 43.38/43.65 cnf(matrix-6398, plain, ( ~class_Orderings_Olinorder(_u14406) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14406), _u14407)) | hBOOL(hAPP(hAPP(c_member(_u14406), _u14408), _u14407)) | ( c_Big__Operators_Olattice_OSup__fin(_u14406, c_Orderings_Oord__class_Omax(_u14406), hAPP(hAPP(c_Set_Oinsert(_u14406), _u14408), _u14407)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14406, _u14406, c_Orderings_Oord__class_Omax(_u14406)), _u14408), _u14407)) )).
% 43.38/43.65 cnf(matrix-6399, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14409, _u14410, _u14411), _u14412), c_Orderings_Obot__class_Obot(tc_fun(_u14409, tc_HOL_Obool))) = _u14412) )).
% 43.38/43.65 cnf(matrix-6400, plain, ( ( hAPP(c_Finite__Set_Ofold__image(_u14413, _u14414, _u14415), _u14416) = c_Finite__Set_Ofold(_u14414, _u14413, hAPP(hAPP(c_COMBB(_u14413, tc_fun(_u14413, _u14413), _u14414), _u14415), _u14416))) )).
% 43.38/43.65 cnf(matrix-6401, plain, ( ~c_Finite__Set_Ofolding(_u14417, _u14418, _u14419, _u14420) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14417), _u14421)) | ( hAPP(hAPP(_u14420, _u14421), _u14422) = hAPP(hAPP(c_Finite__Set_Ofold(_u14417, _u14418, _u14419), _u14422), _u14421)) )).
% 43.38/43.65 cnf(matrix-6402, plain, ( ( hAPP(hAPP(c_Finite__Set_Ofold(_u14423, _u14424, _u14425), _u14426), _u14427) = c_HOL_OThe(_u14424, c_Finite__Set_Ofold__graph(_u14423, _u14424, _u14425, _u14426, _u14427))) )).
% 43.38/43.65 cnf(matrix-6403, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14428), _u14429)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14428, tc_HOL_Obool)), _u14429), _u14430) = hAPP(hAPP(c_Finite__Set_Ofold(_u14428, tc_fun(_u14428, tc_HOL_Obool), c_Set_Oinsert(_u14428)), _u14430), _u14429)) )).
% 43.38/43.65 cnf(matrix-6404, plain, ( ~class_Lattices_Osemilattice__sup(_u14431) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14431), _u14432)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14431, _u14431, c_Lattices_Osemilattice__sup__class_Osup(_u14431)), _u14433), hAPP(hAPP(c_Set_Oinsert(_u14431), _u14434), _u14432)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14431), _u14434), hAPP(hAPP(c_Finite__Set_Ofold(_u14431, _u14431, c_Lattices_Osemilattice__sup__class_Osup(_u14431)), _u14433), _u14432))) )).
% 43.38/43.65 cnf(matrix-6405, plain, ( ~class_Lattices_Osemilattice__inf(_u14435) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14435), _u14436)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14435, _u14435, c_Lattices_Osemilattice__inf__class_Oinf(_u14435)), _u14437), hAPP(hAPP(c_Set_Oinsert(_u14435), _u14438), _u14436)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14435), _u14438), hAPP(hAPP(c_Finite__Set_Ofold(_u14435, _u14435, c_Lattices_Osemilattice__inf__class_Oinf(_u14435)), _u14437), _u14436))) )).
% 43.38/43.65 cnf(matrix-6406, plain, ( ~class_Orderings_Olinorder(_u14439) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14439), _u14440)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14439, _u14439, c_Orderings_Oord__class_Omin(_u14439)), _u14441), hAPP(hAPP(c_Set_Oinsert(_u14439), _u14442), _u14440)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14439), _u14442), hAPP(hAPP(c_Finite__Set_Ofold(_u14439, _u14439, c_Orderings_Oord__class_Omin(_u14439)), _u14441), _u14440))) )).
% 43.38/43.65 cnf(matrix-6407, plain, ( ~class_Orderings_Olinorder(_u14443) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14443), _u14444)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14443, _u14443, c_Orderings_Oord__class_Omax(_u14443)), _u14445), hAPP(hAPP(c_Set_Oinsert(_u14443), _u14446), _u14444)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14443), _u14446), hAPP(hAPP(c_Finite__Set_Ofold(_u14443, _u14443, c_Orderings_Oord__class_Omax(_u14443)), _u14445), _u14444))) )).
% 43.38/43.65 cnf(matrix-6408, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14447, _u14448, _u14449) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14447), _u14450)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14447, _u14448, _u14449), _u14451), hAPP(hAPP(c_Set_Oinsert(_u14447), _u14452), _u14450)) = hAPP(hAPP(_u14449, _u14452), hAPP(hAPP(c_Finite__Set_Ofold(_u14447, _u14448, _u14449), _u14451), _u14450))) )).
% 43.38/43.65 cnf(matrix-6409, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u14453, _u14454, _u14455) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14453), _u14456)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14453, _u14454, _u14455), _u14457), hAPP(hAPP(c_Set_Oinsert(_u14453), _u14458), _u14456)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14453, _u14454, _u14455), hAPP(hAPP(_u14455, _u14458), _u14457)), _u14456)) )).
% 43.38/43.65 cnf(matrix-6410, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14459) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14460), _u14461)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14459), _u14462), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14460, _u14459), _u14461), _u14463)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14460, _u14459, hAPP(hAPP(c_COMBB(_u14459, tc_fun(_u14459, _u14459), _u14460), c_Lattices_Osemilattice__sup__class_Osup(_u14459)), _u14463)), _u14462), _u14461)) )).
% 43.38/43.65 cnf(matrix-6411, plain, ( ~c_Finite__Set_Ofolding__one__idem(_u14464, _u14465, _u14466) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14464), _u14467)) | ( hAPP(_u14466, hAPP(hAPP(c_Set_Oinsert(_u14464), _u14468), _u14467)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14464, _u14464, _u14465), _u14468), _u14467)) )).
% 43.38/43.65 cnf(matrix-6412, plain, ( ~class_Lattices_Osemilattice__sup(_u14469) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14469), _u14470)) | ~hBOOL(hAPP(hAPP(c_member(_u14469), _u14471), _u14470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14469), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u14469), _u14471), _u14472)), hAPP(hAPP(c_Finite__Set_Ofold(_u14469, _u14469, c_Lattices_Osemilattice__sup__class_Osup(_u14469)), _u14472), _u14470))) )).
% 43.38/43.65 cnf(matrix-6413, plain, ( ~class_Lattices_Osemilattice__inf(_u14473) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14473), _u14474)) | ~hBOOL(hAPP(hAPP(c_member(_u14473), _u14475), _u14474)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14473), hAPP(hAPP(c_Finite__Set_Ofold(_u14473, _u14473, c_Lattices_Osemilattice__inf__class_Oinf(_u14473)), _u14476), _u14474)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u14473), _u14475), _u14476))) )).
% 43.38/43.65 cnf(matrix-6414, plain, ( ~class_Orderings_Olinorder(_u14477) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14477), _u14478)) | ~hBOOL(hAPP(hAPP(c_member(_u14477), _u14479), _u14478)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14477), hAPP(hAPP(c_Finite__Set_Ofold(_u14477, _u14477, c_Orderings_Oord__class_Omin(_u14477)), _u14480), _u14478)), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u14477), _u14479), _u14480))) )).
% 43.38/43.65 cnf(matrix-6415, plain, ( ~class_Orderings_Olinorder(_u14481) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14481), _u14482)) | ~hBOOL(hAPP(hAPP(c_member(_u14481), _u14483), _u14482)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14481), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u14481), _u14483), _u14484)), hAPP(hAPP(c_Finite__Set_Ofold(_u14481, _u14481, c_Orderings_Oord__class_Omax(_u14481)), _u14484), _u14482))) )).
% 43.38/43.65 cnf(matrix-6416, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u14485) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14485), _u14486)) | ( hAPP(c_Finite__Set_Ofold1(_u14485, c_Groups_Otimes__class_Otimes(_u14485)), hAPP(hAPP(c_Set_Oinsert(_u14485), _u14487), _u14486)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14485, _u14485, c_Groups_Otimes__class_Otimes(_u14485)), _u14487), _u14486)) )).
% 43.38/43.65 cnf(matrix-6417, plain, ( ~class_Lattices_Olattice(_u14488) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14488), _u14489)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14488, hAPP(hAPP(c_Set_Oinsert(_u14488), _u14490), _u14489)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14488, _u14488, c_Lattices_Osemilattice__sup__class_Osup(_u14488)), _u14490), _u14489)) )).
% 43.38/43.65 cnf(matrix-6418, plain, ( ~class_Lattices_Olattice(_u14491) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14491), _u14492)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14491, hAPP(hAPP(c_Set_Oinsert(_u14491), _u14493), _u14492)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14491, _u14491, c_Lattices_Osemilattice__inf__class_Oinf(_u14491)), _u14493), _u14492)) )).
% 43.38/43.65 cnf(matrix-6419, plain, ( ~class_Orderings_Olinorder(_u14494) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14494), _u14495)) | ( c_Big__Operators_Olinorder__class_OMin(_u14494, hAPP(hAPP(c_Set_Oinsert(_u14494), _u14496), _u14495)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14494, _u14494, c_Orderings_Oord__class_Omin(_u14494)), _u14496), _u14495)) )).
% 43.38/43.65 cnf(matrix-6420, plain, ( ~class_Orderings_Olinorder(_u14497) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14497), _u14498)) | ( c_Big__Operators_Olinorder__class_OMax(_u14497, hAPP(hAPP(c_Set_Oinsert(_u14497), _u14499), _u14498)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14497, _u14497, c_Orderings_Oord__class_Omax(_u14497)), _u14499), _u14498)) )).
% 43.38/43.65 cnf(matrix-6421, plain, ( ~class_Orderings_Olinorder(_u14500) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14500), _u14501)) | ( c_Big__Operators_Olattice_OInf__fin(_u14500, c_Orderings_Oord__class_Omin(_u14500), hAPP(hAPP(c_Set_Oinsert(_u14500), _u14502), _u14501)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14500, _u14500, c_Orderings_Oord__class_Omin(_u14500)), _u14502), _u14501)) )).
% 43.38/43.65 cnf(matrix-6422, plain, ( ~class_Orderings_Olinorder(_u14503) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14503), _u14504)) | ( c_Big__Operators_Olattice_OSup__fin(_u14503, c_Orderings_Oord__class_Omax(_u14503), hAPP(hAPP(c_Set_Oinsert(_u14503), _u14505), _u14504)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14503, _u14503, c_Orderings_Oord__class_Omax(_u14503)), _u14505), _u14504)) )).
% 43.38/43.65 cnf(matrix-6423, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14506), _u14507)) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14506, tc_HOL_Obool)), _u14508), _u14507) = hAPP(hAPP(c_Finite__Set_Ofold(_u14506, tc_fun(_u14506, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u14506, tc_HOL_Obool), tc_fun(tc_fun(_u14506, tc_HOL_Obool), tc_fun(_u14506, tc_HOL_Obool)), _u14506), hAPP(c_COMBC(tc_fun(_u14506, tc_HOL_Obool), tc_fun(_u14506, tc_HOL_Obool), tc_fun(_u14506, tc_HOL_Obool)), c_Groups_Ominus__class_Ominus(tc_fun(_u14506, tc_HOL_Obool)))), hAPP(hAPP(c_COMBC(_u14506, tc_fun(_u14506, tc_HOL_Obool), tc_fun(_u14506, tc_HOL_Obool)), c_Set_Oinsert(_u14506)), c_Orderings_Obot__class_Obot(tc_fun(_u14506, tc_HOL_Obool))))), _u14508), _u14507)) )).
% 43.38/43.65 cnf(matrix-6424, plain, ( ~c_Finite__Set_Ofolding__one(_u14509, _u14510, _u14511) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14509), _u14512)) | hBOOL(hAPP(hAPP(c_member(_u14509), _u14513), _u14512)) | ( hAPP(_u14511, hAPP(hAPP(c_Set_Oinsert(_u14509), _u14513), _u14512)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14509, _u14509, _u14510), _u14513), _u14512)) )).
% 43.38/43.65 cnf(matrix-6425, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14514) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14515), _u14516)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14515, _u14514), _u14516), _u14517) = hAPP(hAPP(c_Finite__Set_Ofold(_u14515, _u14514, hAPP(hAPP(c_COMBB(_u14514, tc_fun(_u14514, _u14514), _u14515), c_Lattices_Osemilattice__sup__class_Osup(_u14514)), _u14517)), c_Orderings_Obot__class_Obot(_u14514)), _u14516)) )).
% 43.38/43.65 cnf(matrix-6426, plain, ( ~class_Groups_Oab__semigroup__mult(_u14518) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14518), _u14519)) | hBOOL(hAPP(hAPP(c_member(_u14518), _u14520), _u14519)) | ( hAPP(c_Finite__Set_Ofold1(_u14518, c_Groups_Otimes__class_Otimes(_u14518)), hAPP(hAPP(c_Set_Oinsert(_u14518), _u14520), _u14519)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14518, _u14518, c_Groups_Otimes__class_Otimes(_u14518)), _u14520), _u14519)) )).
% 43.38/43.65 cnf(matrix-6427, plain, ( ~class_Lattices_Olattice(_u14521) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14521), _u14522)) | hBOOL(hAPP(hAPP(c_member(_u14521), _u14523), _u14522)) | ( c_Big__Operators_Olattice__class_OSup__fin(_u14521, hAPP(hAPP(c_Set_Oinsert(_u14521), _u14523), _u14522)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14521, _u14521, c_Lattices_Osemilattice__sup__class_Osup(_u14521)), _u14523), _u14522)) )).
% 43.38/43.65 cnf(matrix-6428, plain, ( ~class_Lattices_Olattice(_u14524) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14524), _u14525)) | hBOOL(hAPP(hAPP(c_member(_u14524), _u14526), _u14525)) | ( c_Big__Operators_Olattice__class_OInf__fin(_u14524, hAPP(hAPP(c_Set_Oinsert(_u14524), _u14526), _u14525)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14524, _u14524, c_Lattices_Osemilattice__inf__class_Oinf(_u14524)), _u14526), _u14525)) )).
% 43.38/43.65 cnf(matrix-6429, plain, ( ~class_Orderings_Olinorder(_u14527) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14527), _u14528)) | hBOOL(hAPP(hAPP(c_member(_u14527), _u14529), _u14528)) | ( c_Big__Operators_Olinorder__class_OMin(_u14527, hAPP(hAPP(c_Set_Oinsert(_u14527), _u14529), _u14528)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14527, _u14527, c_Orderings_Oord__class_Omin(_u14527)), _u14529), _u14528)) )).
% 43.38/43.65 cnf(matrix-6430, plain, ( ~class_Orderings_Olinorder(_u14530) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14530), _u14531)) | hBOOL(hAPP(hAPP(c_member(_u14530), _u14532), _u14531)) | ( c_Big__Operators_Olinorder__class_OMax(_u14530, hAPP(hAPP(c_Set_Oinsert(_u14530), _u14532), _u14531)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14530, _u14530, c_Orderings_Oord__class_Omax(_u14530)), _u14532), _u14531)) )).
% 43.38/43.65 cnf(matrix-6431, plain, ( ~class_Orderings_Olinorder(_u14533) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14533), _u14534)) | hBOOL(hAPP(hAPP(c_member(_u14533), _u14535), _u14534)) | ( c_Big__Operators_Olattice_OInf__fin(_u14533, c_Orderings_Oord__class_Omin(_u14533), hAPP(hAPP(c_Set_Oinsert(_u14533), _u14535), _u14534)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14533, _u14533, c_Orderings_Oord__class_Omin(_u14533)), _u14535), _u14534)) )).
% 43.38/43.65 cnf(matrix-6432, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14536, _u14537, _u14538) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14536), _u14539)) | ~hBOOL(hAPP(hAPP(c_member(_u14536), _u14540), _u14539)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14536, _u14537, _u14538), _u14541), _u14539) = hAPP(hAPP(_u14538, _u14540), hAPP(hAPP(c_Finite__Set_Ofold(_u14536, _u14537, _u14538), _u14541), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14536, tc_HOL_Obool)), _u14539), hAPP(hAPP(c_Set_Oinsert(_u14536), _u14540), c_Orderings_Obot__class_Obot(tc_fun(_u14536, tc_HOL_Obool))))))) )).
% 43.38/43.65 cnf(matrix-6433, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14542, _u14543, _u14544) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14542), _u14545)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14542, _u14543, _u14544), _u14546), hAPP(hAPP(c_Set_Oinsert(_u14542), _u14547), _u14545)) = hAPP(hAPP(_u14544, _u14547), hAPP(hAPP(c_Finite__Set_Ofold(_u14542, _u14543, _u14544), _u14546), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14542, tc_HOL_Obool)), _u14545), hAPP(hAPP(c_Set_Oinsert(_u14542), _u14547), c_Orderings_Obot__class_Obot(tc_fun(_u14542, tc_HOL_Obool))))))) )).
% 43.38/43.65 cnf(matrix-6434, plain, ( ( hAPP(c_Fun_Ocomp(_u14549, _u14549, _u14549, hAPP(_u14550, _u14551)), hAPP(_u14550, _u14552)) = hAPP(c_Fun_Ocomp(_u14549, _u14549, _u14549, hAPP(_u14550, _u14552)), hAPP(_u14550, _u14551))) | ~c_Finite__Set_Ofun__left__comm(_u14548, _u14549, _u14550) )).
% 43.38/43.65 cnf(matrix-6435, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14553, _u14554, _u14555) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14553, _u14554, _u14555, _u14556, _u14557), _u14558)) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14553, _u14554, _u14555, _u14556, _u14557), _u14559)) | ( _u14559 = _u14558) )).
% 43.38/43.65 cnf(matrix-6436, plain, ( ~class_Groups_Oab__semigroup__mult(_u14560) | c_Finite__Set_Ofun__left__comm(_u14560, _u14560, c_Groups_Otimes__class_Otimes(_u14560)) )).
% 43.38/43.65 cnf(matrix-6437, plain, ( ( hAPP(hAPP(_u14563, _u14564), hAPP(hAPP(_u14563, _u14565), _u14566)) = hAPP(hAPP(_u14563, _u14565), hAPP(hAPP(_u14563, _u14564), _u14566))) | ~c_Finite__Set_Ofun__left__comm(_u14561, _u14562, _u14563) )).
% 43.38/43.65 cnf(matrix-6438, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14567, _u14568, _u14569) | c_Finite__Set_Ofun__left__comm(_u14570, _u14568, hAPP(hAPP(c_COMBB(_u14567, tc_fun(_u14568, _u14568), _u14570), _u14569), _u14571)) )).
% 43.38/43.65 cnf(matrix-6439, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14572, _u14573, _u14574) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14572), _u14575)) | ( hAPP(hAPP(_u14574, _u14576), hAPP(hAPP(c_Finite__Set_Ofold(_u14572, _u14573, _u14574), _u14577), _u14575)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14572, _u14573, _u14574), hAPP(hAPP(_u14574, _u14576), _u14577)), _u14575)) )).
% 43.38/43.65 cnf(matrix-6440, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14578, _u14579, _u14580) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14578, _u14579, _u14580, _u14581, _u14582), _u14583)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14578, _u14579, _u14580), _u14581), _u14582) = _u14583) )).
% 43.38/43.65 cnf(matrix-6441, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14584, _u14585, _u14586) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14584), _u14587)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14584, _u14585, _u14586, _u14588, _u14587), hAPP(hAPP(c_Finite__Set_Ofold(_u14584, _u14585, _u14586), _u14588), _u14587))) )).
% 43.38/43.65 cnf(matrix-6442, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14589, _u14590, _u14591) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14589), _u14592)) | hBOOL(hAPP(hAPP(c_member(_u14589), _u14593), _u14592)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14589, _u14590, _u14591), _u14594), hAPP(hAPP(c_Set_Oinsert(_u14589), _u14593), _u14592)) = hAPP(hAPP(c_Finite__Set_Ofold(_u14589, _u14590, _u14591), hAPP(hAPP(_u14591, _u14593), _u14594)), _u14592)) )).
% 43.38/43.65 cnf(matrix-6443, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14595, _u14596, _u14597) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14595), _u14598)) | hBOOL(hAPP(hAPP(c_member(_u14595), _u14599), _u14598)) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u14595, _u14596, _u14597), _u14600), hAPP(hAPP(c_Set_Oinsert(_u14595), _u14599), _u14598)) = hAPP(hAPP(_u14597, _u14599), hAPP(hAPP(c_Finite__Set_Ofold(_u14595, _u14596, _u14597), _u14600), _u14598))) )).
% 43.38/43.65 cnf(matrix-6444, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14602, _u14603, _u14604) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14602, _u14603, _u14604, _u14605, _u14606), _u14607)) | ~hBOOL(hAPP(hAPP(c_member(_u14602), _u14608), _u14606)) | ( _u14607 = hAPP(hAPP(_u14604, _u14608), skolem374(_u14608, _u14607, _u14606, _u14605, _u14604, _u14603, _u14602))) )).
% 43.38/43.65 cnf(matrix-6445, plain, ( ~c_Finite__Set_Ofun__left__comm(_u14602, _u14603, _u14604) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14602, _u14603, _u14604, _u14605, _u14606), _u14607)) | ~hBOOL(hAPP(hAPP(c_member(_u14602), _u14608), _u14606)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u14602, _u14603, _u14604, _u14605, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14602, tc_HOL_Obool)), _u14606), hAPP(hAPP(c_Set_Oinsert(_u14602), _u14608), c_Orderings_Obot__class_Obot(tc_fun(_u14602, tc_HOL_Obool))))), skolem374(_u14608, _u14607, _u14606, _u14605, _u14604, _u14603, _u14602))) )).
% 43.38/43.65 cnf(matrix-6446, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14609) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14610), _u14611)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14610, _u14609), _u14611), _u14612) = hAPP(hAPP(c_Finite__Set_Ofold(_u14610, _u14609, hAPP(hAPP(c_COMBB(_u14609, tc_fun(_u14609, _u14609), _u14610), c_Lattices_Osemilattice__inf__class_Oinf(_u14609)), _u14612)), c_Orderings_Otop__class_Otop(_u14609)), _u14611)) )).
% 43.38/43.65 cnf(matrix-6447, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14613, tc_fun(_u14614, tc_HOL_Obool)), _u14615), _u14616), _u14617)) | ~hBOOL(hAPP(hAPP(c_member(_u14613), _u14618), _u14615)) | hBOOL(hAPP(hAPP(_u14616, _u14618), _u14617)) )).
% 43.38/43.65 cnf(matrix-6448, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14619, tc_fun(_u14620, tc_HOL_Obool)), _u14621), _u14622), _u14623)) | hBOOL(hAPP(hAPP(_u14622, _u14624), _u14623)) | ~hBOOL(hAPP(hAPP(c_member(_u14619), _u14624), _u14621)) )).
% 43.38/43.65 cnf(matrix-6449, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14625), _u14626), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14627, tc_fun(_u14625, tc_HOL_Obool)), _u14628), _u14629))) | hBOOL(hAPP(hAPP(c_member(_u14625), _u14626), hAPP(_u14629, _u14630))) | ~hBOOL(hAPP(hAPP(c_member(_u14627), _u14630), _u14628)) )).
% 43.38/43.65 cnf(matrix-6450, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14631), _u14632), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14633, tc_fun(_u14631, tc_HOL_Obool)), _u14634), _u14635))) | ~hBOOL(hAPP(hAPP(c_member(_u14633), _u14636), _u14634)) | hBOOL(hAPP(hAPP(c_member(_u14631), _u14632), hAPP(_u14635, _u14636))) )).
% 43.38/43.65 cnf(matrix-6451, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14637, tc_fun(_u14638, tc_fun(_u14639, tc_HOL_Obool))), _u14640), _u14641), _u14642), _u14643)) | ~hBOOL(hAPP(hAPP(c_member(_u14637), _u14644), _u14640)) | hBOOL(hAPP(hAPP(hAPP(_u14641, _u14644), _u14642), _u14643)) )).
% 43.38/43.65 cnf(matrix-6452, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14645, tc_fun(_u14646, tc_fun(_u14647, tc_HOL_Obool))), _u14648), _u14649), _u14650), _u14651)) | hBOOL(hAPP(hAPP(hAPP(_u14649, _u14652), _u14650), _u14651)) | ~hBOOL(hAPP(hAPP(c_member(_u14645), _u14652), _u14648)) )).
% 43.38/43.65 cnf(matrix-6453, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14654), _u14653), _u14655)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u14656), hAPP(_u14657, _u14653))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u14656), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14654, tc_fun(_u14656, tc_HOL_Obool)), _u14655), _u14657))) )).
% 43.38/43.65 cnf(matrix-6454, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14658, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14659, tc_fun(_u14658, tc_HOL_Obool)), _u14660), _u14661)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14659, tc_fun(_u14658, tc_HOL_Obool)), _u14660), hAPP(hAPP(c_COMBB(tc_fun(_u14658, tc_HOL_Obool), tc_fun(_u14658, tc_HOL_Obool), _u14659), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14658, tc_HOL_Obool))), _u14661))) )).
% 43.38/43.65 cnf(matrix-6455, plain, ( ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u14662, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14663, tc_fun(_u14662, tc_HOL_Obool)), _u14664), _u14665)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14663, tc_fun(_u14662, tc_HOL_Obool)), _u14664), hAPP(hAPP(c_COMBB(tc_fun(_u14662, tc_HOL_Obool), tc_fun(_u14662, tc_HOL_Obool), _u14663), c_Groups_Ouminus__class_Ouminus(tc_fun(_u14662, tc_HOL_Obool))), _u14665))) )).
% 43.38/43.65 cnf(matrix-6456, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14666, tc_fun(_u14667, tc_HOL_Obool)), _u14668), hAPP(hAPP(c_COMBB(tc_fun(_u14667, tc_HOL_Obool), tc_fun(_u14667, tc_HOL_Obool), _u14666), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14667, tc_HOL_Obool)), _u14669)), _u14670)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14667, tc_HOL_Obool)), _u14669), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14666, tc_fun(_u14667, tc_HOL_Obool)), _u14668), _u14670))) )).
% 43.38/43.65 cnf(matrix-6457, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14671, tc_HOL_Obool)), _u14672), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14673, tc_fun(_u14671, tc_HOL_Obool)), _u14674), _u14675)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14673, tc_fun(_u14671, tc_HOL_Obool)), _u14674), hAPP(hAPP(c_COMBB(tc_fun(_u14671, tc_HOL_Obool), tc_fun(_u14671, tc_HOL_Obool), _u14673), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u14671, tc_HOL_Obool)), _u14672)), _u14675))) )).
% 43.38/43.65 cnf(matrix-6458, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14676, tc_fun(_u14677, tc_HOL_Obool)), _u14678), hAPP(hAPP(c_COMBC(_u14676, tc_fun(_u14679, tc_fun(_u14677, tc_HOL_Obool)), tc_fun(_u14677, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14679, tc_HOL_Obool), tc_fun(tc_fun(_u14679, tc_fun(_u14677, tc_HOL_Obool)), tc_fun(_u14677, tc_HOL_Obool)), _u14676), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14679, tc_fun(_u14677, tc_HOL_Obool))), _u14680)), _u14681)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14679, tc_fun(_u14677, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14676, tc_fun(_u14679, tc_HOL_Obool)), _u14678), _u14680)), _u14681)) )).
% 43.38/43.65 cnf(matrix-6459, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14682, tc_fun(_u14683, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u14684, tc_fun(_u14682, tc_HOL_Obool)), _u14685), _u14686)), _u14687) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14684, tc_fun(_u14683, tc_HOL_Obool)), _u14685), hAPP(hAPP(c_COMBC(_u14684, tc_fun(_u14682, tc_fun(_u14683, tc_HOL_Obool)), tc_fun(_u14683, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14682, tc_HOL_Obool), tc_fun(tc_fun(_u14682, tc_fun(_u14683, tc_HOL_Obool)), tc_fun(_u14683, tc_HOL_Obool)), _u14684), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14682, tc_fun(_u14683, tc_HOL_Obool))), _u14686)), _u14687))) )).
% 43.38/43.65 cnf(matrix-6460, plain, ( ( hAPP(c_Relation_Oconverse(_u14688, _u14689), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14690, tc_fun(tc_prod(_u14688, _u14689), tc_HOL_Obool)), _u14691), _u14692)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14690, tc_fun(tc_prod(_u14689, _u14688), tc_HOL_Obool)), _u14691), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14688, _u14689), tc_HOL_Obool), tc_fun(tc_prod(_u14689, _u14688), tc_HOL_Obool), _u14690), c_Relation_Oconverse(_u14688, _u14689)), _u14692))) )).
% 43.38/43.65 cnf(matrix-6461, plain, ( ( _u14698 != c_Orderings_Obot__class_Obot(tc_fun(_u14700, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14702, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14700, tc_fun(_u14702, tc_HOL_Obool)), _u14698), _u14704)), _u14706) = _u14706) )).
% 43.38/43.65 cnf(matrix-6462, plain, ( ( _u14699 = c_Orderings_Obot__class_Obot(tc_fun(_u14701, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14703, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14701, tc_fun(_u14703, tc_HOL_Obool)), _u14699), _u14705)), _u14707) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14701, tc_fun(_u14703, tc_HOL_Obool)), _u14699), hAPP(hAPP(c_COMBC(_u14701, tc_fun(_u14703, tc_HOL_Obool), tc_fun(_u14703, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14703, tc_HOL_Obool), tc_fun(tc_fun(_u14703, tc_HOL_Obool), tc_fun(_u14703, tc_HOL_Obool)), _u14701), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14703, tc_HOL_Obool))), _u14705)), _u14707))) )).
% 43.38/43.65 cnf(matrix-6463, plain, ( ( _u14713 != c_Orderings_Obot__class_Obot(tc_fun(_u14715, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14717, tc_HOL_Obool)), _u14719), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14715, tc_fun(_u14717, tc_HOL_Obool)), _u14713), _u14721)) = _u14719) )).
% 43.38/43.65 cnf(matrix-6464, 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)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14716, tc_fun(_u14718, tc_HOL_Obool)), _u14714), hAPP(hAPP(c_COMBB(tc_fun(_u14718, tc_HOL_Obool), tc_fun(_u14718, tc_HOL_Obool), _u14716), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14718, tc_HOL_Obool)), _u14720)), _u14722))) )).
% 43.38/43.65 cnf(matrix-6465, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14723, tc_fun(_u14724, tc_HOL_Obool)), hAPP(hAPP(c_Set_Oinsert(_u14723), _u14725), _u14726)), _u14727) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14724, tc_HOL_Obool)), hAPP(_u14727, _u14725)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14723, tc_fun(_u14724, tc_HOL_Obool)), _u14726), _u14727))) )).
% 43.38/43.65 cnf(matrix-6466, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14728) | ( _u14729 = c_Orderings_Obot__class_Obot(tc_fun(_u14730, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14730, _u14728), _u14729), hAPP(c_COMBK(_u14728, _u14730), _u14731)) = _u14731) )).
% 43.38/43.65 cnf(matrix-6467, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14732), _u14733), _u14734)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14735, tc_HOL_Obool)), hAPP(_u14736, _u14733)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14732, tc_fun(_u14735, tc_HOL_Obool)), _u14734), _u14736)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14732, tc_fun(_u14735, tc_HOL_Obool)), _u14734), _u14736)) )).
% 43.38/43.65 cnf(matrix-6468, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14741, tc_fun(_u14743, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14741, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14743, tc_HOL_Obool), tc_fun(_u14743, tc_HOL_Obool), _u14741), hAPP(c_COMBC(_u14743, tc_fun(_u14743, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14743))), _u14745)), _u14747)) | hBOOL(hAPP(hAPP(c_member(_u14743), _u14747), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14741, tc_fun(_u14743, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14741, tc_HOL_Obool))), _u14745))) )).
% 43.38/43.65 cnf(matrix-6469, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14744), _u14748), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14742, tc_fun(_u14744, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14742, tc_HOL_Obool))), _u14746))) | hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14742, tc_fun(_u14744, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14742, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u14744, tc_HOL_Obool), tc_fun(_u14744, tc_HOL_Obool), _u14742), hAPP(c_COMBC(_u14744, tc_fun(_u14744, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14744))), _u14746)), _u14748)) )).
% 43.38/43.65 cnf(matrix-6470, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14756), _u14758), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14760, tc_fun(_u14756, tc_HOL_Obool)), _u14762), _u14764))) | ~hBOOL(hAPP(hAPP(c_member(_u14760), _u14749), _u14762)) | hBOOL(hAPP(hAPP(c_member(_u14756), _u14758), hAPP(_u14764, _u14749))) )).
% 43.38/43.65 cnf(matrix-6471, plain, ( hBOOL(hAPP(hAPP(c_member(_u14757), _u14759), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14761, tc_fun(_u14757, tc_HOL_Obool)), _u14763), _u14765))) | hBOOL(hAPP(hAPP(c_member(_u14761), skolem375(_u14765, _u14763, _u14761, _u14759, _u14757)), _u14763)) )).
% 43.38/43.65 cnf(matrix-6472, plain, ( hBOOL(hAPP(hAPP(c_member(_u14757), _u14759), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14761, tc_fun(_u14757, tc_HOL_Obool)), _u14763), _u14765))) | ~hBOOL(hAPP(hAPP(c_member(_u14757), _u14759), hAPP(_u14765, skolem375(_u14765, _u14763, _u14761, _u14759, _u14757)))) )).
% 43.38/43.65 cnf(matrix-6473, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14772, tc_fun(_u14774, tc_fun(_u14776, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14772, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_fun(_u14774, tc_fun(_u14776, tc_HOL_Obool)), _u14772), hAPP(c_COMBC(_u14774, tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_fun(_u14776, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14776, tc_fun(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_fun(_u14776, tc_HOL_Obool)), _u14774), c_COMBC(_u14776, tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14776, tc_prod(_u14774, _u14776)), tc_fun(_u14776, tc_fun(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_HOL_Obool)), _u14774), hAPP(c_COMBB(tc_prod(_u14774, _u14776), tc_fun(tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool), tc_HOL_Obool), _u14776), c_member(tc_prod(_u14774, _u14776)))), c_Product__Type_OPair(_u14774, _u14776))))), _u14778)), _u14780), _u14782)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u14774, _u14776)), hAPP(hAPP(c_Product__Type_OPair(_u14774, _u14776), _u14780), _u14782)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14772, tc_fun(tc_prod(_u14774, _u14776), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14772, tc_HOL_Obool))), _u14778))) )).
% 43.38/43.65 cnf(matrix-6474, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u14775, _u14777)), hAPP(hAPP(c_Product__Type_OPair(_u14775, _u14777), _u14781), _u14783)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14773, tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u14773, tc_HOL_Obool))), _u14779))) | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14773, tc_fun(_u14775, tc_fun(_u14777, tc_HOL_Obool))), c_Orderings_Otop__class_Otop(tc_fun(_u14773, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_fun(_u14775, tc_fun(_u14777, tc_HOL_Obool)), _u14773), hAPP(c_COMBC(_u14775, tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_fun(_u14777, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14777, tc_fun(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_fun(_u14777, tc_HOL_Obool)), _u14775), c_COMBC(_u14777, tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14777, tc_prod(_u14775, _u14777)), tc_fun(_u14777, tc_fun(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_HOL_Obool)), _u14775), hAPP(c_COMBB(tc_prod(_u14775, _u14777), tc_fun(tc_fun(tc_prod(_u14775, _u14777), tc_HOL_Obool), tc_HOL_Obool), _u14777), c_member(tc_prod(_u14775, _u14777)))), c_Product__Type_OPair(_u14775, _u14777))))), _u14779)), _u14781), _u14783)) )).
% 43.38/43.65 cnf(matrix-6475, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14790, tc_HOL_Obool)) != hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14792, tc_fun(_u14790, tc_HOL_Obool)), _u14794), _u14796)) | ~hBOOL(hAPP(hAPP(c_member(_u14792), _u14784), _u14794)) | ( hAPP(_u14796, _u14784) = c_Orderings_Otop__class_Otop(tc_fun(_u14790, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6476, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14791, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14793, tc_fun(_u14791, tc_HOL_Obool)), _u14795), _u14797)) | hBOOL(hAPP(hAPP(c_member(_u14793), skolem376(_u14797, _u14795, _u14793, _u14791)), _u14795)) )).
% 43.38/43.65 cnf(matrix-6477, plain, ( ( c_Orderings_Otop__class_Otop(tc_fun(_u14791, tc_HOL_Obool)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14793, tc_fun(_u14791, tc_HOL_Obool)), _u14795), _u14797)) | ( hAPP(_u14797, skolem376(_u14797, _u14795, _u14793, _u14791)) != c_Orderings_Otop__class_Otop(tc_fun(_u14791, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6478, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14804, tc_fun(_u14806, tc_HOL_Obool)), _u14808), _u14810) != c_Orderings_Otop__class_Otop(tc_fun(_u14806, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u14804), _u14798), _u14808)) | ( hAPP(_u14810, _u14798) = c_Orderings_Otop__class_Otop(tc_fun(_u14806, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6479, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14805, tc_fun(_u14807, tc_HOL_Obool)), _u14809), _u14811) = c_Orderings_Otop__class_Otop(tc_fun(_u14807, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u14805), skolem377(_u14811, _u14809, _u14807, _u14805)), _u14809)) )).
% 43.38/43.65 cnf(matrix-6480, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14805, tc_fun(_u14807, tc_HOL_Obool)), _u14809), _u14811) = c_Orderings_Otop__class_Otop(tc_fun(_u14807, tc_HOL_Obool))) | ( hAPP(_u14811, skolem377(_u14811, _u14809, _u14807, _u14805)) != c_Orderings_Otop__class_Otop(tc_fun(_u14807, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6481, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14812, tc_fun(_u14813, tc_HOL_Obool)), _u14814), hAPP(hAPP(c_COMBS(_u14812, tc_fun(_u14813, tc_HOL_Obool), tc_fun(_u14813, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14813, tc_HOL_Obool), tc_fun(tc_fun(_u14813, tc_HOL_Obool), tc_fun(_u14813, tc_HOL_Obool)), _u14812), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14813, tc_HOL_Obool))), _u14815)), _u14816)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14813, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14812, tc_fun(_u14813, tc_HOL_Obool)), _u14814), _u14815)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14812, tc_fun(_u14813, tc_HOL_Obool)), _u14814), _u14816))) )).
% 43.38/43.65 cnf(matrix-6482, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14817) | ( hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14818, tc_fun(_u14819, _u14817)), _u14820), _u14821), _u14822) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14818, _u14817), _u14820), hAPP(hAPP(c_COMBC(_u14818, _u14819, _u14817), _u14821), _u14822))) )).
% 43.38/43.65 cnf(matrix-6483, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14823) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14824, _u14823), _u14825), hAPP(hAPP(c_COMBB(tc_fun(_u14826, _u14823), _u14823, _u14824), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14826, _u14823), _u14827)), _u14828)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14826, _u14823), _u14827), hAPP(hAPP(c_COMBB(tc_fun(_u14824, _u14823), _u14823, _u14826), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14824, _u14823), _u14825)), hAPP(c_COMBC(_u14824, _u14826, _u14823), _u14828)))) )).
% 43.38/43.65 cnf(matrix-6484, plain, ( ( hAPP(c_Set_OPow(_u14829), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14830, tc_fun(_u14829, tc_HOL_Obool)), _u14831), _u14832)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14830, tc_fun(tc_fun(_u14829, tc_HOL_Obool), tc_HOL_Obool)), _u14831), hAPP(hAPP(c_COMBB(tc_fun(_u14829, tc_HOL_Obool), tc_fun(tc_fun(_u14829, tc_HOL_Obool), tc_HOL_Obool), _u14830), c_Set_OPow(_u14829)), _u14832))) )).
% 43.38/43.65 cnf(matrix-6485, plain, ( ( hAPP(hAPP(c_Set_Oinsert(_u14833), _u14834), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14835, tc_fun(_u14833, tc_HOL_Obool)), _u14836), _u14837)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14835, tc_fun(_u14833, tc_HOL_Obool)), _u14836), hAPP(hAPP(c_COMBB(tc_fun(_u14833, tc_HOL_Obool), tc_fun(_u14833, tc_HOL_Obool), _u14835), hAPP(c_Set_Oinsert(_u14833), _u14834)), _u14837))) )).
% 43.38/43.65 cnf(matrix-6486, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14838, tc_fun(_u14839, tc_HOL_Obool)), _u14840), hAPP(hAPP(c_COMBB(tc_fun(_u14839, tc_HOL_Obool), tc_fun(_u14839, tc_HOL_Obool), _u14838), hAPP(c_Set_Oinsert(_u14839), _u14841)), _u14842)) = hAPP(hAPP(c_Set_Oinsert(_u14839), _u14841), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14838, tc_fun(_u14839, tc_HOL_Obool)), _u14840), _u14842))) )).
% 43.38/43.65 cnf(matrix-6487, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14843, tc_fun(_u14844, tc_HOL_Obool)), _u14845), hAPP(hAPP(c_COMBB(_u14846, tc_fun(_u14844, tc_HOL_Obool), _u14843), _u14847), _u14848)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14846, tc_fun(_u14844, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14843, _u14846, _u14848), _u14845)), _u14847)) )).
% 43.38/43.65 cnf(matrix-6488, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14849, tc_fun(_u14850, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u14851, _u14849, _u14852), _u14853)), _u14854) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14851, tc_fun(_u14850, tc_HOL_Obool)), _u14853), hAPP(hAPP(c_COMBB(_u14849, tc_fun(_u14850, tc_HOL_Obool), _u14851), _u14854), _u14852))) )).
% 43.38/43.65 cnf(matrix-6489, plain, ( ( hAPP(c_Set_Ovimage(_u14855, _u14856, _u14857), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14858, tc_fun(_u14856, tc_HOL_Obool)), _u14859), _u14860)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14858, tc_fun(_u14855, tc_HOL_Obool)), _u14859), hAPP(hAPP(c_COMBB(tc_fun(_u14856, tc_HOL_Obool), tc_fun(_u14855, tc_HOL_Obool), _u14858), c_Set_Ovimage(_u14855, _u14856, _u14857)), _u14860))) )).
% 43.38/43.65 cnf(matrix-6490, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14861, tc_HOL_Obool) = c_Set_OBall(_u14861)) )).
% 43.38/43.65 cnf(matrix-6491, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14862), _u14863), _u14864)) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14862, tc_fun(_u14865, tc_HOL_Obool)), _u14864), hAPP(hAPP(c_COMBB(tc_fun(_u14865, tc_HOL_Obool), tc_fun(_u14865, tc_HOL_Obool), _u14862), hAPP(c_Set_Oinsert(_u14865), _u14866)), _u14867)) = hAPP(hAPP(c_Set_Oinsert(_u14865), _u14866), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14862, tc_fun(_u14865, tc_HOL_Obool)), _u14864), _u14867))) )).
% 43.38/43.65 cnf(matrix-6492, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14868, tc_fun(_u14869, tc_HOL_Obool)), c_Orderings_Obot__class_Obot(tc_fun(_u14868, tc_HOL_Obool))), _u14870) = c_Orderings_Otop__class_Otop(tc_fun(_u14869, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6493, plain, ( ( _u14875 != c_Orderings_Obot__class_Obot(tc_fun(_u14877, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14877, tc_fun(_u14879, tc_HOL_Obool)), _u14875), hAPP(c_COMBK(tc_fun(_u14879, tc_HOL_Obool), _u14877), _u14881)) = c_Orderings_Otop__class_Otop(tc_fun(_u14879, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6494, 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(c_COMBK(tc_fun(_u14880, tc_HOL_Obool), _u14878), _u14882)) = _u14882) )).
% 43.38/43.65 cnf(matrix-6495, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14883, tc_fun(_u14884, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14883, tc_HOL_Obool)), _u14885), _u14886)), _u14887) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14884, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14883, tc_fun(_u14884, tc_HOL_Obool)), _u14885), _u14887)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14883, tc_fun(_u14884, tc_HOL_Obool)), _u14886), _u14887))) )).
% 43.38/43.65 cnf(matrix-6496, plain, ( ( hAPP(c_Set_OCollect(_u14888), hAPP(hAPP(c_COMBB(tc_fun(_u14889, tc_HOL_Obool), tc_HOL_Obool, _u14888), c_HOL_OAll(_u14889)), hAPP(hAPP(c_COMBB(tc_fun(_u14889, tc_HOL_Obool), tc_fun(_u14889, tc_HOL_Obool), _u14888), hAPP(c_COMBS(_u14889, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14889), c_fimplies), hAPP(hAPP(c_COMBC(_u14889, tc_fun(_u14889, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14889)), _u14890)))), _u14891))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14889, tc_fun(_u14888, tc_HOL_Obool)), _u14890), hAPP(hAPP(c_COMBB(tc_fun(_u14888, tc_HOL_Obool), tc_fun(_u14888, tc_HOL_Obool), _u14889), c_Set_OCollect(_u14888)), hAPP(c_COMBC(_u14888, _u14889, tc_HOL_Obool), _u14891)))) )).
% 43.38/43.65 cnf(matrix-6497, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u14892), _u14893), _u14894)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14895, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14892, tc_fun(_u14895, tc_HOL_Obool)), _u14894), _u14896)), hAPP(_u14896, _u14893))) )).
% 43.38/43.65 cnf(matrix-6498, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14904, tc_HOL_Obool)), _u14906), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14908, tc_fun(_u14904, tc_HOL_Obool)), _u14910), _u14912))) | ~hBOOL(hAPP(hAPP(c_member(_u14908), _u14897), _u14910)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14904, tc_HOL_Obool)), _u14906), hAPP(_u14912, _u14897))) )).
% 43.38/43.65 cnf(matrix-6499, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14905, tc_HOL_Obool)), _u14907), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14909, tc_fun(_u14905, tc_HOL_Obool)), _u14911), _u14913))) | hBOOL(hAPP(hAPP(c_member(_u14909), skolem378(_u14913, _u14911, _u14909, _u14907, _u14905)), _u14911)) )).
% 43.38/43.65 cnf(matrix-6500, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14905, tc_HOL_Obool)), _u14907), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14909, tc_fun(_u14905, tc_HOL_Obool)), _u14911), _u14913))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14905, tc_HOL_Obool)), _u14907), hAPP(_u14913, skolem378(_u14913, _u14911, _u14909, _u14907, _u14905)))) )).
% 43.38/43.65 cnf(matrix-6501, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14914, tc_fun(_u14915, tc_HOL_Obool)), _u14916), hAPP(hAPP(c_COMBB(tc_fun(_u14915, tc_HOL_Obool), tc_fun(_u14915, tc_HOL_Obool), _u14914), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14915, tc_HOL_Obool)), _u14917)), _u14918)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14915, tc_HOL_Obool)), _u14917), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14914, tc_fun(_u14915, tc_HOL_Obool)), _u14916), _u14918))) )).
% 43.38/43.65 cnf(matrix-6502, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14919, tc_fun(_u14920, tc_HOL_Obool)), _u14921), hAPP(hAPP(c_COMBC(_u14919, tc_fun(_u14920, tc_HOL_Obool), tc_fun(_u14920, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14920, tc_HOL_Obool), tc_fun(tc_fun(_u14920, tc_HOL_Obool), tc_fun(_u14920, tc_HOL_Obool)), _u14919), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14920, tc_HOL_Obool))), _u14922)), _u14923)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14920, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14919, tc_fun(_u14920, tc_HOL_Obool)), _u14921), _u14922)), _u14923)) )).
% 43.38/43.65 cnf(matrix-6503, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14924, tc_HOL_Obool)), _u14925), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14926, tc_fun(_u14924, tc_HOL_Obool)), _u14927), _u14928)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14926, tc_fun(_u14924, tc_HOL_Obool)), _u14927), hAPP(hAPP(c_COMBB(tc_fun(_u14924, tc_HOL_Obool), tc_fun(_u14924, tc_HOL_Obool), _u14926), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14924, tc_HOL_Obool)), _u14925)), _u14928))) )).
% 43.38/43.65 cnf(matrix-6504, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14929, tc_HOL_Obool)), _u14930), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14931, tc_fun(_u14929, tc_HOL_Obool)), _u14932), _u14933)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14931, tc_fun(_u14929, tc_HOL_Obool)), _u14932), hAPP(hAPP(c_COMBB(tc_fun(_u14929, tc_HOL_Obool), tc_fun(_u14929, tc_HOL_Obool), _u14931), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14929, tc_HOL_Obool)), _u14930)), _u14933))) )).
% 43.38/43.65 cnf(matrix-6505, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14934, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14935, tc_fun(_u14934, tc_HOL_Obool)), _u14936), _u14937)), _u14938) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14935, tc_fun(_u14934, tc_HOL_Obool)), _u14936), hAPP(hAPP(c_COMBC(_u14935, tc_fun(_u14934, tc_HOL_Obool), tc_fun(_u14934, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14934, tc_HOL_Obool), tc_fun(tc_fun(_u14934, tc_HOL_Obool), tc_fun(_u14934, tc_HOL_Obool)), _u14935), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14934, tc_HOL_Obool))), _u14937)), _u14938))) )).
% 43.38/43.65 cnf(matrix-6506, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14939, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14940, tc_fun(_u14939, tc_HOL_Obool)), _u14941), _u14942)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14943, tc_fun(_u14939, tc_HOL_Obool)), _u14944), _u14945)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14940, tc_fun(_u14939, tc_HOL_Obool)), _u14941), hAPP(hAPP(c_COMBB(tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool)), tc_fun(_u14939, tc_HOL_Obool), _u14940), hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14943, tc_fun(_u14939, tc_HOL_Obool)), _u14944)), hAPP(hAPP(c_COMBC(_u14940, tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool)), tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14939, tc_HOL_Obool), tc_fun(_u14939, tc_HOL_Obool)), tc_fun(tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool)), tc_fun(_u14943, tc_fun(_u14939, tc_HOL_Obool))), _u14940), c_COMBB(tc_fun(_u14939, tc_HOL_Obool), tc_fun(_u14939, tc_HOL_Obool), _u14943)), hAPP(hAPP(c_COMBB(tc_fun(_u14939, tc_HOL_Obool), tc_fun(tc_fun(_u14939, tc_HOL_Obool), tc_fun(_u14939, tc_HOL_Obool)), _u14940), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u14939, tc_HOL_Obool))), _u14942))), _u14945)))) )).
% 43.38/43.65 cnf(matrix-6507, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14948) | ~class_Orderings_Olinorder(_u14948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14949, _u14948), _u14950), _u14951)), _u14952)) | hBOOL(hAPP(hAPP(c_member(_u14949), skolem379(_u14952, _u14951, _u14950, _u14949, _u14948)), _u14950)) )).
% 43.38/43.65 cnf(matrix-6508, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14948) | ~class_Orderings_Olinorder(_u14948) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14949, _u14948), _u14950), _u14951)), _u14952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(_u14951, skolem379(_u14952, _u14951, _u14950, _u14949, _u14948))), _u14952)) )).
% 43.38/43.65 cnf(matrix-6509, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14948) | ~class_Orderings_Olinorder(_u14948) | ~hBOOL(hAPP(hAPP(c_member(_u14949), _u14947), _u14950)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(_u14951, _u14947)), _u14952)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u14948), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14949, _u14948), _u14950), _u14951)), _u14952)) )).
% 43.38/43.65 cnf(matrix-6510, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14955) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14957, _u14955), _u14958), _u14959))) | ~hBOOL(hAPP(hAPP(c_member(_u14957), _u14953), _u14958)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(_u14959, _u14953))) )).
% 43.38/43.65 cnf(matrix-6511, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14957, _u14955), _u14958), _u14959))) | hBOOL(hAPP(hAPP(c_member(_u14957), skolem380(_u14959, _u14958, _u14957, _u14956, _u14955)), _u14958)) )).
% 43.38/43.65 cnf(matrix-6512, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14955) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14957, _u14955), _u14958), _u14959))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14955), _u14956), hAPP(_u14959, skolem380(_u14959, _u14958, _u14957, _u14956, _u14955)))) )).
% 43.38/43.65 cnf(matrix-6513, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14960, tc_HOL_Obool)), hAPP(c_Relation_OImage(_u14961, _u14960, _u14962), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14963, tc_fun(_u14961, tc_HOL_Obool)), _u14964), _u14965))), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14963, tc_fun(_u14960, tc_HOL_Obool)), _u14964), hAPP(hAPP(c_COMBB(tc_fun(_u14961, tc_HOL_Obool), tc_fun(_u14960, tc_HOL_Obool), _u14963), c_Relation_OImage(_u14961, _u14960, _u14962)), _u14965)))) )).
% 43.38/43.65 cnf(matrix-6514, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u14966) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u14967, tc_HOL_Obool)), _u14968), _u14969)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u14966), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14967, _u14966), _u14969), _u14970)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14967, _u14966), _u14968), _u14970))) )).
% 43.38/43.65 cnf(matrix-6515, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14971, tc_fun(_u14972, tc_HOL_Obool)), _u14973), _u14974) = hAPP(c_Set_OCollect(_u14972), hAPP(hAPP(c_COMBB(tc_fun(_u14971, tc_HOL_Obool), tc_HOL_Obool, _u14972), c_HOL_OAll(_u14971)), hAPP(hAPP(c_COMBB(tc_fun(_u14971, tc_HOL_Obool), tc_fun(_u14971, tc_HOL_Obool), _u14972), hAPP(c_COMBS(_u14971, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u14971), c_fimplies), hAPP(hAPP(c_COMBC(_u14971, tc_fun(_u14971, tc_HOL_Obool), tc_HOL_Obool), c_member(_u14971)), _u14973)))), hAPP(hAPP(c_COMBC(_u14972, tc_fun(_u14971, tc_fun(_u14972, tc_HOL_Obool)), tc_fun(_u14971, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u14972, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u14971, tc_fun(_u14972, tc_HOL_Obool)), tc_fun(_u14971, tc_HOL_Obool)), _u14972), c_COMBB(tc_fun(_u14972, tc_HOL_Obool), tc_HOL_Obool, _u14971)), c_member(_u14972))), _u14974))))) )).
% 43.38/43.65 cnf(matrix-6516, plain, ( ( _u14980 != c_Orderings_Obot__class_Obot(tc_fun(_u14982, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14982, tc_fun(_u14984, tc_HOL_Obool)), _u14980), hAPP(hAPP(c_COMBB(tc_fun(_u14984, tc_HOL_Obool), tc_fun(_u14984, tc_HOL_Obool), _u14982), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14984, tc_HOL_Obool)), _u14986)), _u14988)) = c_Orderings_Otop__class_Otop(tc_fun(_u14984, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6517, plain, ( ( _u14981 = c_Orderings_Obot__class_Obot(tc_fun(_u14983, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14983, tc_fun(_u14985, tc_HOL_Obool)), _u14981), hAPP(hAPP(c_COMBB(tc_fun(_u14985, tc_HOL_Obool), tc_fun(_u14985, tc_HOL_Obool), _u14983), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14985, tc_HOL_Obool)), _u14987)), _u14989)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14985, tc_HOL_Obool)), _u14987), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14983, tc_fun(_u14985, tc_HOL_Obool)), _u14981), _u14989))) )).
% 43.38/43.65 cnf(matrix-6518, plain, ( ( _u14995 != c_Orderings_Obot__class_Obot(tc_fun(_u14997, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14997, tc_fun(_u14999, tc_HOL_Obool)), _u14995), hAPP(hAPP(c_COMBC(_u14997, tc_fun(_u14999, tc_HOL_Obool), tc_fun(_u14999, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u14999, tc_HOL_Obool), tc_fun(tc_fun(_u14999, tc_HOL_Obool), tc_fun(_u14999, tc_HOL_Obool)), _u14997), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u14999, tc_HOL_Obool))), _u15001)), _u15003)) = c_Orderings_Otop__class_Otop(tc_fun(_u14999, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6519, plain, ( ( _u14996 = c_Orderings_Obot__class_Obot(tc_fun(_u14998, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14998, tc_fun(_u15000, tc_HOL_Obool)), _u14996), hAPP(hAPP(c_COMBC(_u14998, tc_fun(_u15000, tc_HOL_Obool), tc_fun(_u15000, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15000, tc_HOL_Obool), tc_fun(tc_fun(_u15000, tc_HOL_Obool), tc_fun(_u15000, tc_HOL_Obool)), _u14998), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15000, tc_HOL_Obool))), _u15002)), _u15004)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15000, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u14998, tc_fun(_u15000, tc_HOL_Obool)), _u14996), _u15002)), _u15004)) )).
% 43.38/43.65 cnf(matrix-6520, plain, ( ( _u15010 != c_Orderings_Obot__class_Obot(tc_fun(_u15012, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15012, tc_fun(_u15014, tc_HOL_Obool)), _u15010), hAPP(hAPP(c_COMBC(_u15012, tc_fun(_u15014, tc_HOL_Obool), tc_fun(_u15014, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15014, tc_HOL_Obool), tc_fun(tc_fun(_u15014, tc_HOL_Obool), tc_fun(_u15014, tc_HOL_Obool)), _u15012), c_Groups_Ominus__class_Ominus(tc_fun(_u15014, tc_HOL_Obool))), _u15016)), _u15018)) = c_Orderings_Otop__class_Otop(tc_fun(_u15014, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6521, plain, ( ( _u15011 = c_Orderings_Obot__class_Obot(tc_fun(_u15013, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15013, tc_fun(_u15015, tc_HOL_Obool)), _u15011), hAPP(hAPP(c_COMBC(_u15013, tc_fun(_u15015, tc_HOL_Obool), tc_fun(_u15015, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15015, tc_HOL_Obool), tc_fun(tc_fun(_u15015, tc_HOL_Obool), tc_fun(_u15015, tc_HOL_Obool)), _u15013), c_Groups_Ominus__class_Ominus(tc_fun(_u15015, tc_HOL_Obool))), _u15017)), _u15019)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15015, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15013, tc_fun(_u15015, tc_HOL_Obool)), _u15011), _u15017)), _u15019)) )).
% 43.38/43.65 cnf(matrix-6522, plain, ( ( _u15025 != c_Orderings_Obot__class_Obot(tc_fun(_u15027, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15029, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15027, tc_fun(_u15029, tc_HOL_Obool)), _u15025), _u15031)), _u15033) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15029, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u15029, tc_HOL_Obool))), _u15033)) )).
% 43.38/43.65 cnf(matrix-6523, plain, ( ( _u15026 = c_Orderings_Obot__class_Obot(tc_fun(_u15028, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15030, tc_HOL_Obool)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15028, tc_fun(_u15030, tc_HOL_Obool)), _u15026), _u15032)), _u15034) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15028, tc_fun(_u15030, tc_HOL_Obool)), _u15026), hAPP(hAPP(c_COMBC(_u15028, tc_fun(_u15030, tc_HOL_Obool), tc_fun(_u15030, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15030, tc_HOL_Obool), tc_fun(tc_fun(_u15030, tc_HOL_Obool), tc_fun(_u15030, tc_HOL_Obool)), _u15028), c_Groups_Ominus__class_Ominus(tc_fun(_u15030, tc_HOL_Obool))), _u15032)), _u15034))) )).
% 43.38/43.65 cnf(matrix-6524, plain, ( ( _u15040 != c_Orderings_Obot__class_Obot(tc_fun(_u15042, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15044, tc_HOL_Obool)), _u15046), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15042, tc_fun(_u15044, tc_HOL_Obool)), _u15040), _u15048)) = _u15046) )).
% 43.38/43.65 cnf(matrix-6525, plain, ( ( _u15041 = c_Orderings_Obot__class_Obot(tc_fun(_u15043, tc_HOL_Obool))) | ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15045, tc_HOL_Obool)), _u15047), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15043, tc_fun(_u15045, tc_HOL_Obool)), _u15041), _u15049)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15043, tc_fun(_u15045, tc_HOL_Obool)), _u15041), hAPP(hAPP(c_COMBB(tc_fun(_u15045, tc_HOL_Obool), tc_fun(_u15045, tc_HOL_Obool), _u15043), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15045, tc_HOL_Obool)), _u15047)), _u15049))) )).
% 43.38/43.65 cnf(matrix-6526, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15050) | ~hBOOL(hAPP(hAPP(c_member(_u15051), _u15052), _u15053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15050), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15051, _u15050), _u15053), _u15054)), hAPP(_u15054, _u15052))) )).
% 43.38/43.65 cnf(matrix-6527, 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))) )).
% 43.38/43.65 cnf(matrix-6528, plain, ( ( _u15060 != c_Orderings_Obot__class_Obot(tc_fun(_u15062, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15062, tc_fun(_u15064, tc_HOL_Obool)), _u15060), hAPP(hAPP(c_COMBB(tc_fun(_u15064, tc_HOL_Obool), tc_fun(_u15064, tc_HOL_Obool), _u15062), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15064, tc_HOL_Obool)), _u15066)), _u15068)) = c_Orderings_Otop__class_Otop(tc_fun(_u15064, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6529, plain, ( ( _u15061 = c_Orderings_Obot__class_Obot(tc_fun(_u15063, tc_HOL_Obool))) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15063, tc_fun(_u15065, tc_HOL_Obool)), _u15061), hAPP(hAPP(c_COMBB(tc_fun(_u15065, tc_HOL_Obool), tc_fun(_u15065, tc_HOL_Obool), _u15063), hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15065, tc_HOL_Obool)), _u15067)), _u15069)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u15065, tc_HOL_Obool)), _u15067), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15063, tc_fun(_u15065, tc_HOL_Obool)), _u15061), _u15069))) )).
% 43.38/43.65 cnf(matrix-6530, plain, ( ~c_Relation_Osingle__valued(_u15070, _u15071, hAPP(c_Relation_Oconverse(_u15071, _u15070), _u15072)) | ( _u15073 = c_Orderings_Obot__class_Obot(tc_fun(_u15074, tc_HOL_Obool))) | ( hAPP(c_Relation_OImage(_u15071, _u15070, _u15072), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15074, tc_fun(_u15071, tc_HOL_Obool)), _u15073), _u15075)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15074, tc_fun(_u15070, tc_HOL_Obool)), _u15073), hAPP(hAPP(c_COMBB(tc_fun(_u15071, tc_HOL_Obool), tc_fun(_u15070, tc_HOL_Obool), _u15074), c_Relation_OImage(_u15071, _u15070, _u15072)), _u15075))) )).
% 43.38/43.65 cnf(matrix-6531, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15076) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15077), _u15078)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15076), _u15079), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15077, _u15076), _u15078), _u15080)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15077, _u15076, hAPP(hAPP(c_COMBB(_u15076, tc_fun(_u15076, _u15076), _u15077), c_Lattices_Osemilattice__inf__class_Oinf(_u15076)), _u15080)), _u15079), _u15078)) )).
% 43.38/43.65 cnf(matrix-6532, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15081) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15081), _u15082)) | ( c_Complete__Lattice_OInf__class_OInf(_u15081, _u15082) = hAPP(hAPP(c_Finite__Set_Ofold(_u15081, _u15081, c_Lattices_Osemilattice__inf__class_Oinf(_u15081)), c_Orderings_Otop__class_Otop(_u15081)), _u15082)) )).
% 43.38/43.65 cnf(matrix-6533, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15083) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15083), _u15084)) | ( c_Complete__Lattice_OSup__class_OSup(_u15083, _u15084) = hAPP(hAPP(c_Finite__Set_Ofold(_u15083, _u15083, c_Lattices_Osemilattice__sup__class_Osup(_u15083)), c_Orderings_Obot__class_Obot(_u15083)), _u15084)) )).
% 43.38/43.65 cnf(matrix-6534, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15086, tc_HOL_Obool)), _u15085), _u15087)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15086), _u15085)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15086), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15086, tc_HOL_Obool), _u15087))) )).
% 43.38/43.65 cnf(matrix-6535, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15088, tc_HOL_Obool)), _u15089), _u15090)) | ~hBOOL(hAPP(hAPP(c_member(_u15088), _u15091), _u15089)) | hBOOL(hAPP(hAPP(c_member(_u15088), _u15091), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15088, tc_HOL_Obool), _u15090))) )).
% 43.38/43.65 cnf(matrix-6536, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15092), _u15093), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15092, tc_HOL_Obool), _u15094))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15092, tc_HOL_Obool)), _u15095), _u15094)) | hBOOL(hAPP(hAPP(c_member(_u15092), _u15093), _u15095)) )).
% 43.38/43.65 cnf(matrix-6537, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15096), _u15097), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15096, tc_HOL_Obool), _u15098))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15096, tc_HOL_Obool)), _u15099), _u15098)) | hBOOL(hAPP(hAPP(c_member(_u15096), _u15097), _u15099)) )).
% 43.38/43.65 cnf(matrix-6538, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15109, tc_fun(_u15111, tc_fun(_u15113, tc_HOL_Obool))), _u15115), _u15117), _u15119), _u15121)) | ~hBOOL(hAPP(hAPP(c_member(_u15109), _u15100), _u15115)) | hBOOL(hAPP(hAPP(hAPP(_u15117, _u15100), _u15119), _u15121)) )).
% 43.38/43.65 cnf(matrix-6539, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15110, tc_fun(_u15112, tc_fun(_u15114, tc_HOL_Obool))), _u15116), _u15118), _u15120), _u15122)) | hBOOL(hAPP(hAPP(c_member(_u15110), skolem381(_u15122, _u15120, _u15118, _u15116, _u15114, _u15112, _u15110)), _u15116)) )).
% 43.38/43.65 cnf(matrix-6540, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15110, tc_fun(_u15112, tc_fun(_u15114, tc_HOL_Obool))), _u15116), _u15118), _u15120), _u15122)) | ~hBOOL(hAPP(hAPP(hAPP(_u15118, skolem381(_u15122, _u15120, _u15118, _u15116, _u15114, _u15112, _u15110)), _u15120), _u15122)) )).
% 43.38/43.65 cnf(matrix-6541, plain, ( ~hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15130, tc_fun(_u15132, tc_HOL_Obool)), _u15134), _u15136), _u15138)) | ~hBOOL(hAPP(hAPP(c_member(_u15130), _u15123), _u15134)) | hBOOL(hAPP(hAPP(_u15136, _u15123), _u15138)) )).
% 43.38/43.65 cnf(matrix-6542, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15131, tc_fun(_u15133, tc_HOL_Obool)), _u15135), _u15137), _u15139)) | hBOOL(hAPP(hAPP(c_member(_u15131), skolem382(_u15139, _u15137, _u15135, _u15133, _u15131)), _u15135)) )).
% 43.38/43.65 cnf(matrix-6543, plain, ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15131, tc_fun(_u15133, tc_HOL_Obool)), _u15135), _u15137), _u15139)) | ~hBOOL(hAPP(hAPP(_u15137, skolem382(_u15139, _u15137, _u15135, _u15133, _u15131)), _u15139)) )).
% 43.38/43.65 cnf(matrix-6544, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15140, tc_fun(_u15141, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15140, tc_HOL_Obool), _u15142)), _u15143) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15140, tc_HOL_Obool), tc_fun(_u15141, tc_HOL_Obool)), _u15142), hAPP(hAPP(c_COMBC(tc_fun(_u15140, tc_HOL_Obool), tc_fun(_u15140, tc_fun(_u15141, tc_HOL_Obool)), tc_fun(_u15141, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15140, tc_fun(_u15141, tc_HOL_Obool))), _u15143))) )).
% 43.38/43.65 cnf(matrix-6545, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15144, tc_HOL_Obool), tc_fun(_u15145, tc_HOL_Obool)), _u15146), hAPP(hAPP(c_COMBC(tc_fun(_u15144, tc_HOL_Obool), tc_fun(_u15144, tc_fun(_u15145, tc_HOL_Obool)), tc_fun(_u15145, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15144, tc_fun(_u15145, tc_HOL_Obool))), _u15147)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15144, tc_fun(_u15145, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15144, tc_HOL_Obool), _u15146)), _u15147)) )).
% 43.38/43.65 cnf(matrix-6546, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15148, tc_fun(_u15149, tc_HOL_Obool)), _u15150), _u15151) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15149, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15148, tc_fun(_u15149, tc_HOL_Obool), _u15151), _u15150))) )).
% 43.38/43.65 cnf(matrix-6547, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15152, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15153, tc_fun(_u15152, tc_HOL_Obool), _u15154), _u15155)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15153, tc_fun(_u15152, tc_HOL_Obool)), _u15155), _u15154)) )).
% 43.38/43.65 cnf(matrix-6548, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15156, tc_HOL_Obool)), _u15157), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15156, tc_HOL_Obool), _u15158)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15156, tc_HOL_Obool), tc_fun(_u15156, tc_HOL_Obool)), _u15158), hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15156, tc_HOL_Obool)), _u15157))) )).
% 43.38/43.65 cnf(matrix-6549, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15159) | ( c_Complete__Lattice_OSup__class_OSup(_u15159, _u15160) = c_Complete__Lattice_OInf__class_OInf(_u15159, hAPP(c_Set_OCollect(_u15159), hAPP(hAPP(c_COMBB(tc_fun(_u15159, tc_HOL_Obool), tc_HOL_Obool, _u15159), c_HOL_OAll(_u15159)), hAPP(hAPP(c_COMBB(tc_fun(_u15159, tc_HOL_Obool), tc_fun(_u15159, tc_HOL_Obool), _u15159), hAPP(c_COMBS(_u15159, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15159), c_fimplies), hAPP(hAPP(c_COMBC(_u15159, tc_fun(_u15159, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15159)), _u15160)))), hAPP(c_COMBC(_u15159, _u15159, tc_HOL_Obool), c_Orderings_Oord__class_Oless__eq(_u15159))))))) )).
% 43.38/43.65 cnf(matrix-6550, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15161) | ( c_Complete__Lattice_OInf__class_OInf(_u15161, _u15162) = c_Complete__Lattice_OSup__class_OSup(_u15161, hAPP(c_Set_OCollect(_u15161), hAPP(hAPP(c_COMBB(tc_fun(_u15161, tc_HOL_Obool), tc_HOL_Obool, _u15161), c_HOL_OAll(_u15161)), hAPP(hAPP(c_COMBB(tc_fun(_u15161, tc_HOL_Obool), tc_fun(_u15161, tc_HOL_Obool), _u15161), hAPP(c_COMBS(_u15161, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15161), c_fimplies), hAPP(hAPP(c_COMBC(_u15161, tc_fun(_u15161, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15161)), _u15162)))), c_Orderings_Oord__class_Oless__eq(_u15161)))))) )).
% 43.38/43.65 cnf(matrix-6551, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15163, tc_HOL_Obool)), _u15164), _u15165)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15163, tc_HOL_Obool)), _u15164), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15163, tc_HOL_Obool), _u15165))) )).
% 43.38/43.65 cnf(matrix-6552, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15168) | ~class_Orderings_Olinorder(_u15168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), c_Complete__Lattice_OInf__class_OInf(_u15168, _u15169)), _u15170)) | hBOOL(hAPP(hAPP(c_member(_u15168), skolem383(_u15170, _u15169, _u15168)), _u15169)) )).
% 43.38/43.65 cnf(matrix-6553, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15168) | ~class_Orderings_Olinorder(_u15168) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), c_Complete__Lattice_OInf__class_OInf(_u15168, _u15169)), _u15170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), skolem383(_u15170, _u15169, _u15168)), _u15170)) )).
% 43.38/43.65 cnf(matrix-6554, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15168) | ~class_Orderings_Olinorder(_u15168) | ~hBOOL(hAPP(hAPP(c_member(_u15168), _u15167), _u15169)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), _u15167), _u15170)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15168), c_Complete__Lattice_OInf__class_OInf(_u15168, _u15169)), _u15170)) )).
% 43.38/43.65 cnf(matrix-6555, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15173) | ~class_Orderings_Olinorder(_u15173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), c_Complete__Lattice_OSup__class_OSup(_u15173, _u15175))) | hBOOL(hAPP(hAPP(c_member(_u15173), skolem384(_u15175, _u15174, _u15173)), _u15175)) )).
% 43.38/43.65 cnf(matrix-6556, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15173) | ~class_Orderings_Olinorder(_u15173) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), c_Complete__Lattice_OSup__class_OSup(_u15173, _u15175))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), skolem384(_u15175, _u15174, _u15173))) )).
% 43.38/43.65 cnf(matrix-6557, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15173) | ~class_Orderings_Olinorder(_u15173) | ~hBOOL(hAPP(hAPP(c_member(_u15173), _u15172), _u15175)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), _u15172)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15173), _u15174), c_Complete__Lattice_OSup__class_OSup(_u15173, _u15175))) )).
% 43.38/43.65 cnf(matrix-6558, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15178) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), c_Complete__Lattice_OSup__class_OSup(_u15178, _u15179)), _u15180)) | ~hBOOL(hAPP(hAPP(c_member(_u15178), _u15176), _u15179)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), _u15176), _u15180)) )).
% 43.38/43.65 cnf(matrix-6559, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15178) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), c_Complete__Lattice_OSup__class_OSup(_u15178, _u15179)), _u15180)) | hBOOL(hAPP(hAPP(c_member(_u15178), skolem385(_u15180, _u15179, _u15178)), _u15179)) )).
% 43.38/43.65 cnf(matrix-6560, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15178) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), c_Complete__Lattice_OSup__class_OSup(_u15178, _u15179)), _u15180)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15178), skolem385(_u15180, _u15179, _u15178)), _u15180)) )).
% 43.38/43.65 cnf(matrix-6561, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15183) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), c_Complete__Lattice_OInf__class_OInf(_u15183, _u15185))) | ~hBOOL(hAPP(hAPP(c_member(_u15183), _u15181), _u15185)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), _u15181)) )).
% 43.38/43.65 cnf(matrix-6562, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15183) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), c_Complete__Lattice_OInf__class_OInf(_u15183, _u15185))) | hBOOL(hAPP(hAPP(c_member(_u15183), skolem386(_u15185, _u15184, _u15183)), _u15185)) )).
% 43.38/43.65 cnf(matrix-6563, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15183) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), c_Complete__Lattice_OInf__class_OInf(_u15183, _u15185))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15183), _u15184), skolem386(_u15185, _u15184, _u15183))) )).
% 43.38/43.65 cnf(matrix-6564, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15191, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15191, tc_HOL_Obool), _u15193)), _u15195) != c_Orderings_Obot__class_Obot(tc_fun(_u15191, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15191, tc_HOL_Obool)), _u15186), _u15193)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15191, tc_HOL_Obool)), _u15186), _u15195) = c_Orderings_Obot__class_Obot(tc_fun(_u15191, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6565, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15192, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15192, tc_HOL_Obool), _u15194)), _u15196) = c_Orderings_Obot__class_Obot(tc_fun(_u15192, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15192, tc_HOL_Obool)), skolem387(_u15196, _u15194, _u15192)), _u15194)) )).
% 43.38/43.65 cnf(matrix-6566, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15192, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15192, tc_HOL_Obool), _u15194)), _u15196) = c_Orderings_Obot__class_Obot(tc_fun(_u15192, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15192, tc_HOL_Obool)), skolem387(_u15196, _u15194, _u15192)), _u15196) != c_Orderings_Obot__class_Obot(tc_fun(_u15192, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6567, plain, ( ( hAPP(c_Relation_OField(_u15197), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15197, _u15197), tc_HOL_Obool), _u15198)) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15197, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_fun(tc_prod(_u15197, _u15197), tc_HOL_Obool), tc_fun(_u15197, tc_HOL_Obool), c_Relation_OField(_u15197)), _u15198))) )).
% 43.38/43.65 cnf(matrix-6568, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15199, tc_HOL_Obool), hAPP(c_Set_OPow(_u15199), _u15200)) = _u15200) )).
% 43.38/43.65 cnf(matrix-6569, plain, ( ( hAPP(c_Relation_ODomain(_u15201, _u15202), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15201, _u15202), tc_HOL_Obool), _u15203)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15201, _u15202), tc_HOL_Obool), tc_fun(_u15201, tc_HOL_Obool)), _u15203), c_Relation_ODomain(_u15201, _u15202))) )).
% 43.38/43.65 cnf(matrix-6570, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15204, tc_HOL_Obool)), _u15205), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15204, tc_HOL_Obool), _u15206)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15204, tc_HOL_Obool), tc_fun(_u15204, tc_HOL_Obool)), _u15206), hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15204, tc_HOL_Obool)), _u15205))) )).
% 43.38/43.65 cnf(matrix-6571, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15207, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15207, tc_HOL_Obool), _u15208)), _u15209) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15207, tc_HOL_Obool), tc_fun(_u15207, tc_HOL_Obool)), _u15208), hAPP(hAPP(c_COMBC(tc_fun(_u15207, tc_HOL_Obool), tc_fun(_u15207, tc_HOL_Obool), tc_fun(_u15207, tc_HOL_Obool)), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15207, tc_HOL_Obool))), _u15209))) )).
% 43.38/43.65 cnf(matrix-6572, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15210, tc_fun(_u15211, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15210, tc_HOL_Obool), _u15212)), _u15213) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15210, tc_HOL_Obool), tc_fun(_u15211, tc_HOL_Obool)), _u15212), hAPP(hAPP(c_COMBC(tc_fun(_u15210, tc_HOL_Obool), tc_fun(_u15210, tc_fun(_u15211, tc_HOL_Obool)), tc_fun(_u15211, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15210, tc_fun(_u15211, tc_HOL_Obool))), _u15213))) )).
% 43.38/43.65 cnf(matrix-6573, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15214, tc_HOL_Obool), tc_fun(_u15215, tc_HOL_Obool)), _u15216), hAPP(hAPP(c_COMBC(tc_fun(_u15214, tc_HOL_Obool), tc_fun(_u15214, tc_fun(_u15215, tc_HOL_Obool)), tc_fun(_u15215, tc_HOL_Obool)), c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15214, tc_fun(_u15215, tc_HOL_Obool))), _u15217)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15214, tc_fun(_u15215, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15214, tc_HOL_Obool), _u15216)), _u15217)) )).
% 43.38/43.65 cnf(matrix-6574, plain, ( ( hAPP(c_Relation_ORange(_u15218, _u15219), c_Complete__Lattice_OSup__class_OSup(tc_fun(tc_prod(_u15218, _u15219), tc_HOL_Obool), _u15220)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(tc_prod(_u15218, _u15219), tc_HOL_Obool), tc_fun(_u15219, tc_HOL_Obool)), _u15220), c_Relation_ORange(_u15218, _u15219))) )).
% 43.38/43.65 cnf(matrix-6575, plain, ( ( hAPP(c_Set_Oimage(_u15221, _u15222, _u15223), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15221, tc_HOL_Obool), _u15224)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15221, tc_HOL_Obool), tc_fun(_u15222, tc_HOL_Obool)), _u15224), c_Set_Oimage(_u15221, _u15222, _u15223))) )).
% 43.38/43.65 cnf(matrix-6576, plain, ( ( hAPP(hAPP(c_Product__Type_OSigma(_u15225, _u15226), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15225, tc_HOL_Obool), _u15227)), _u15228) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15225, tc_HOL_Obool), tc_fun(tc_prod(_u15225, _u15226), tc_HOL_Obool)), _u15227), hAPP(hAPP(c_COMBC(tc_fun(_u15225, tc_HOL_Obool), tc_fun(_u15225, tc_fun(_u15226, tc_HOL_Obool)), tc_fun(tc_prod(_u15225, _u15226), tc_HOL_Obool)), c_Product__Type_OSigma(_u15225, _u15226)), _u15228))) )).
% 43.38/43.65 cnf(matrix-6577, plain, ( ( hAPP(c_Set_Ovimage(_u15229, _u15230, _u15231), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15230, tc_HOL_Obool), _u15232)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15230, tc_HOL_Obool), tc_fun(_u15229, tc_HOL_Obool)), _u15232), c_Set_Ovimage(_u15229, _u15230, _u15231))) )).
% 43.38/43.65 cnf(matrix-6578, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_fun(_u15233, tc_HOL_Obool)), _u15234), _u15235)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15233, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15233, tc_HOL_Obool), _u15235)), _u15234)) )).
% 43.38/43.65 cnf(matrix-6579, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15236, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15236, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15236, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6580, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15237, tc_HOL_Obool), tc_HOL_Obool)), _u15238), _u15239)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15237, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15237, tc_HOL_Obool), _u15238)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15237, tc_HOL_Obool), _u15239))) )).
% 43.38/43.65 cnf(matrix-6581, plain, ( ~c_Equiv__Relations_Oequiv(_u15240, _u15241, _u15242) | ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15240, tc_HOL_Obool), hAPP(hAPP(c_Equiv__Relations_Oquotient(_u15240), _u15241), _u15242)) = _u15241) )).
% 43.38/43.65 cnf(matrix-6582, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15243, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15243, tc_HOL_Obool)), _u15244), _u15245)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15243, tc_HOL_Obool)), _u15244), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15243, tc_HOL_Obool), _u15245))) )).
% 43.38/43.65 cnf(matrix-6583, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15246), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15246, tc_HOL_Obool), _u15247))) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15246, tc_HOL_Obool)), _u15247)) )).
% 43.38/43.65 cnf(matrix-6584, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15248, tc_HOL_Obool), tc_HOL_Obool)), _u15249), hAPP(c_Set_OPow(_u15248), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15248, tc_HOL_Obool), _u15249)))) )).
% 43.38/43.65 cnf(matrix-6585, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_fun(_u15250, tc_HOL_Obool), tc_HOL_Obool)), _u15251), _u15252)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15250, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15250, tc_HOL_Obool), _u15252)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15250, tc_HOL_Obool), _u15251))) )).
% 43.38/43.65 cnf(matrix-6586, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15253, tc_HOL_Obool), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15253, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15253, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6587, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15254, tc_HOL_Obool), _u15255) = hAPP(c_Set_OCollect(_u15254), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15254, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u15254), c_HOL_OAll(tc_fun(_u15254, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u15254, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u15254, tc_HOL_Obool), tc_HOL_Obool), _u15254), hAPP(c_COMBS(tc_fun(_u15254, 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(_u15254, tc_HOL_Obool)), c_fimplies), hAPP(hAPP(c_COMBC(tc_fun(_u15254, tc_HOL_Obool), tc_fun(tc_fun(_u15254, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u15254, tc_HOL_Obool))), _u15255)))), c_member(_u15254))))) )).
% 43.38/43.65 cnf(matrix-6588, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15256, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15256, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u15256, tc_HOL_Obool))) )).
% 43.38/43.65 cnf(matrix-6589, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15257, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15257, tc_HOL_Obool), tc_HOL_Obool)), _u15258), _u15259)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15257, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15257, tc_HOL_Obool), _u15258)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15257, tc_HOL_Obool), _u15259))) )).
% 43.38/43.65 cnf(matrix-6590, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15260, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15260, tc_HOL_Obool)), _u15261), _u15262)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15260, tc_HOL_Obool)), _u15261), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15260, tc_HOL_Obool), _u15262))) )).
% 43.40/43.65 cnf(matrix-6591, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15263, tc_fun(_u15264, tc_HOL_Obool)), _u15265), _u15266) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15264, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15263, tc_fun(_u15264, tc_HOL_Obool), _u15266), _u15265))) )).
% 43.40/43.65 cnf(matrix-6592, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15267, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15268, tc_fun(_u15267, tc_HOL_Obool), _u15269), _u15270)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15268, tc_fun(_u15267, tc_HOL_Obool)), _u15270), _u15269)) )).
% 43.40/43.65 cnf(matrix-6593, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15271) | ~hBOOL(hAPP(hAPP(c_member(_u15271), _u15272), _u15273)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15271), _u15272), c_Complete__Lattice_OSup__class_OSup(_u15271, _u15273))) )).
% 43.40/43.65 cnf(matrix-6594, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15274, tc_HOL_Obool), c_Orderings_Otop__class_Otop(tc_fun(tc_fun(_u15274, tc_HOL_Obool), tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(_u15274, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-6595, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15275) | ~hBOOL(hAPP(hAPP(c_member(_u15275), _u15276), _u15277)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15275), c_Complete__Lattice_OInf__class_OInf(_u15275, _u15277)), _u15276)) )).
% 43.40/43.65 cnf(matrix-6596, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15278, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_fun(_u15278, tc_HOL_Obool), tc_HOL_Obool)), _u15279), _u15280)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15278, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15278, tc_HOL_Obool), _u15279)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15278, tc_HOL_Obool), _u15280))) )).
% 43.40/43.65 cnf(matrix-6597, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15281) | ( c_Complete__Lattice_OSup__class_OSup(_u15281, c_Orderings_Obot__class_Obot(tc_fun(_u15281, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15281)) )).
% 43.40/43.65 cnf(matrix-6598, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15282) | ( c_Complete__Lattice_OSup__class_OSup(_u15282, hAPP(hAPP(c_Set_Oinsert(_u15282), _u15283), c_Orderings_Obot__class_Obot(tc_fun(_u15282, tc_HOL_Obool)))) = _u15283) )).
% 43.40/43.65 cnf(matrix-6599, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15284) | ( c_Complete__Lattice_OSup__class_OSup(_u15284, hAPP(hAPP(c_Set_Oinsert(_u15284), _u15285), _u15286)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15284), _u15285), c_Complete__Lattice_OSup__class_OSup(_u15284, _u15286))) )).
% 43.40/43.65 cnf(matrix-6600, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15287, tc_fun(_u15288, tc_HOL_Obool)), _u15289), hAPP(hAPP(c_COMBS(_u15287, tc_fun(_u15288, tc_HOL_Obool), tc_fun(_u15288, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15288, tc_HOL_Obool), tc_fun(tc_fun(_u15288, tc_HOL_Obool), tc_fun(_u15288, tc_HOL_Obool)), _u15287), c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15288, tc_HOL_Obool))), _u15290)), _u15291)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15288, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15288, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15287, tc_fun(_u15288, tc_HOL_Obool), _u15290), _u15289))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15288, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15287, tc_fun(_u15288, tc_HOL_Obool), _u15291), _u15289)))) )).
% 43.40/43.65 cnf(matrix-6601, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15292) | ( c_Complete__Lattice_OSup__class_OSup(_u15292, c_Orderings_Otop__class_Otop(tc_fun(_u15292, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15292)) )).
% 43.40/43.65 cnf(matrix-6602, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15293) | ( c_Complete__Lattice_OInf__class_OInf(_u15293, hAPP(hAPP(c_Set_Oinsert(_u15293), _u15294), c_Orderings_Obot__class_Obot(tc_fun(_u15293, tc_HOL_Obool)))) = _u15294) )).
% 43.40/43.65 cnf(matrix-6603, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15295) | ( c_Complete__Lattice_OInf__class_OInf(_u15295, c_Orderings_Obot__class_Obot(tc_fun(_u15295, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(_u15295)) )).
% 43.40/43.65 cnf(matrix-6604, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15296) | ( c_Complete__Lattice_OInf__class_OInf(_u15296, c_Orderings_Otop__class_Otop(tc_fun(_u15296, tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(_u15296)) )).
% 43.40/43.65 cnf(matrix-6605, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15297) | ( c_Complete__Lattice_OInf__class_OInf(_u15297, hAPP(hAPP(c_Set_Oinsert(_u15297), _u15298), _u15299)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15297), _u15298), c_Complete__Lattice_OInf__class_OInf(_u15297, _u15299))) )).
% 43.40/43.65 cnf(matrix-6606, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15300, tc_HOL_Obool)), _u15301), _u15302) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15300, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15300, tc_HOL_Obool)), _u15301), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15300, tc_HOL_Obool)), _u15302), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15300, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 43.40/43.65 cnf(matrix-6607, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u15303, tc_fun(_u15304, tc_HOL_Obool)), _u15305), hAPP(hAPP(c_COMBS(_u15303, tc_fun(_u15304, tc_HOL_Obool), tc_fun(_u15304, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15304, tc_HOL_Obool), tc_fun(tc_fun(_u15304, tc_HOL_Obool), tc_fun(_u15304, tc_HOL_Obool)), _u15303), c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15304, tc_HOL_Obool))), _u15306)), _u15307)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15304, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15304, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15303, tc_fun(_u15304, tc_HOL_Obool), _u15306), _u15305))), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15304, tc_HOL_Obool), hAPP(c_Set_Oimage(_u15303, tc_fun(_u15304, tc_HOL_Obool), _u15307), _u15305)))) )).
% 43.40/43.65 cnf(matrix-6608, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15308, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15308, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15308, tc_HOL_Obool), tc_HOL_Obool)), _u15309), _u15310))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15308, tc_HOL_Obool)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15308, tc_HOL_Obool), _u15309)), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15308, tc_HOL_Obool), _u15310)))) )).
% 43.40/43.65 cnf(matrix-6609, plain, ( ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15311, tc_HOL_Obool)), _u15312), _u15313) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15311, tc_HOL_Obool), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15311, tc_HOL_Obool)), _u15312), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15311, tc_HOL_Obool)), _u15313), c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15311, tc_HOL_Obool), tc_HOL_Obool)))))) )).
% 43.40/43.65 cnf(matrix-6610, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15314, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15314, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15314, tc_HOL_Obool), _u15315)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15314, tc_HOL_Obool), _u15316))), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15314, tc_HOL_Obool), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_fun(_u15314, tc_HOL_Obool), tc_HOL_Obool)), _u15315), _u15316)))) )).
% 43.40/43.65 cnf(matrix-6611, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15317) | ( c_Complete__Lattice_OSup__class_OSup(_u15317, hAPP(hAPP(c_Set_Oinsert(_u15317), _u15318), hAPP(hAPP(c_Set_Oinsert(_u15317), _u15319), c_Orderings_Obot__class_Obot(tc_fun(_u15317, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15317), _u15318), _u15319)) )).
% 43.40/43.65 cnf(matrix-6612, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15320) | ( c_Complete__Lattice_OInf__class_OInf(_u15320, hAPP(hAPP(c_Set_Oinsert(_u15320), _u15321), hAPP(hAPP(c_Set_Oinsert(_u15320), _u15322), c_Orderings_Obot__class_Obot(tc_fun(_u15320, tc_HOL_Obool))))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15320), _u15321), _u15322)) )).
% 43.40/43.65 cnf(matrix-6613, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15323) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15323), _u15324)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15323), _u15325), c_Complete__Lattice_OSup__class_OSup(_u15323, _u15324)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15323, _u15323, c_Lattices_Osemilattice__sup__class_Osup(_u15323)), _u15325), _u15324)) )).
% 43.40/43.65 cnf(matrix-6614, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15326) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15326), _u15327)) | ( _u15327 = c_Orderings_Obot__class_Obot(tc_fun(_u15326, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OSup__fin(_u15326, _u15327) = c_Complete__Lattice_OSup__class_OSup(_u15326, _u15327)) )).
% 43.40/43.65 cnf(matrix-6615, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15328) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15328), _u15329)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15328), _u15330), c_Complete__Lattice_OInf__class_OInf(_u15328, _u15329)) = hAPP(hAPP(c_Finite__Set_Ofold(_u15328, _u15328, c_Lattices_Osemilattice__inf__class_Oinf(_u15328)), _u15330), _u15329)) )).
% 43.40/43.65 cnf(matrix-6616, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u15331) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15331), _u15332)) | ( _u15332 = c_Orderings_Obot__class_Obot(tc_fun(_u15331, tc_HOL_Obool))) | ( c_Big__Operators_Olattice__class_OInf__fin(_u15331, _u15332) = c_Complete__Lattice_OInf__class_OInf(_u15331, _u15332)) )).
% 43.40/43.65 cnf(matrix-6617, plain, ( ~c_Fun_Oinj__on(_u15334, _u15335, _u15336, _u15337) | ~hBOOL(hAPP(hAPP(c_member(_u15338), _u15341), _u15339)) | ( hAPP(c_Set_Oimage(_u15334, _u15335, _u15336), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15338, tc_fun(_u15334, tc_HOL_Obool)), _u15339), _u15340)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15338, tc_fun(_u15335, tc_HOL_Obool)), _u15339), hAPP(hAPP(c_COMBB(tc_fun(_u15334, tc_HOL_Obool), tc_fun(_u15335, tc_HOL_Obool), _u15338), c_Set_Oimage(_u15334, _u15335, _u15336)), _u15340))) | hBOOL(hAPP(hAPP(c_member(_u15338), skolem388(_u15341, _u15340, _u15339, _u15338, _u15337, _u15336, _u15335, _u15334)), _u15339)) )).
% 43.40/43.65 cnf(matrix-6618, plain, ( ~c_Fun_Oinj__on(_u15334, _u15335, _u15336, _u15337) | ~hBOOL(hAPP(hAPP(c_member(_u15338), _u15341), _u15339)) | ( hAPP(c_Set_Oimage(_u15334, _u15335, _u15336), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15338, tc_fun(_u15334, tc_HOL_Obool)), _u15339), _u15340)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15338, tc_fun(_u15335, tc_HOL_Obool)), _u15339), hAPP(hAPP(c_COMBB(tc_fun(_u15334, tc_HOL_Obool), tc_fun(_u15335, tc_HOL_Obool), _u15338), c_Set_Oimage(_u15334, _u15335, _u15336)), _u15340))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15334, tc_HOL_Obool)), hAPP(_u15340, skolem388(_u15341, _u15340, _u15339, _u15338, _u15337, _u15336, _u15335, _u15334))), _u15337)) )).
% 43.40/43.65 cnf(matrix-6619, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem389(_u15347, _u15346, _u15345)), _u15346)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem390(_u15347, _u15346, _u15345)), _u15346)) )).
% 43.40/43.65 cnf(matrix-6620, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem389(_u15347, _u15346, _u15345)), _u15346)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem391(_u15347, _u15346, _u15345)), _u15346)) )).
% 43.40/43.65 cnf(matrix-6621, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem389(_u15347, _u15346, _u15345)), _u15346)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( skolem390(_u15347, _u15346, _u15345) != skolem391(_u15347, _u15346, _u15345)) )).
% 43.40/43.65 cnf(matrix-6622, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem389(_u15347, _u15346, _u15345)), _u15346)) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15345, tc_HOL_Obool)), skolem390(_u15347, _u15346, _u15345)), skolem391(_u15347, _u15346, _u15345)) != c_Orderings_Obot__class_Obot(tc_fun(_u15345, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-6623, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(c_Finite__Set_Ocard(_u15345), skolem389(_u15347, _u15346, _u15345)) != _u15347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem390(_u15347, _u15346, _u15345)), _u15346)) )).
% 43.40/43.65 cnf(matrix-6624, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(c_Finite__Set_Ocard(_u15345), skolem389(_u15347, _u15346, _u15345)) != _u15347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15345, tc_HOL_Obool)), skolem391(_u15347, _u15346, _u15345)), _u15346)) )).
% 43.40/43.65 cnf(matrix-6625, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(c_Finite__Set_Ocard(_u15345), skolem389(_u15347, _u15346, _u15345)) != _u15347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( skolem390(_u15347, _u15346, _u15345) != skolem391(_u15347, _u15346, _u15345)) )).
% 43.40/43.65 cnf(matrix-6626, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(c_Finite__Set_Ocard(_u15345), skolem389(_u15347, _u15346, _u15345)) != _u15347) | ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u15347), hAPP(c_Finite__Set_Ocard(tc_fun(_u15345, tc_HOL_Obool)), _u15346)) = hAPP(c_Finite__Set_Ocard(_u15345), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15345, tc_HOL_Obool), _u15346))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15345, tc_HOL_Obool)), skolem390(_u15347, _u15346, _u15345)), skolem391(_u15347, _u15346, _u15345)) != c_Orderings_Obot__class_Obot(tc_fun(_u15345, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-6627, plain, ( ( c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15348, tc_HOL_Obool), _u15349) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(tc_fun(_u15348, tc_HOL_Obool), tc_fun(_u15348, tc_HOL_Obool)), _u15349), c_COMBI(tc_fun(_u15348, tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-6628, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15350, tc_HOL_Obool), _u15351) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_fun(_u15350, tc_HOL_Obool), tc_fun(_u15350, tc_HOL_Obool)), _u15351), c_COMBI(tc_fun(_u15350, tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-6629, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15353, tc_HOL_Obool)), _u15354)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15353, tc_HOL_Obool), _u15354))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15353, tc_HOL_Obool)), skolem392(_u15354, _u15353)), _u15354)) )).
% 43.40/43.65 cnf(matrix-6630, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u15353, tc_HOL_Obool)), _u15354)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15353, tc_HOL_Obool), _u15354))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15353), skolem392(_u15354, _u15353))) )).
% 43.40/43.65 cnf(matrix-6631, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), _u15358), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15357, tc_HOL_Obool), _u15359)) = c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), skolem393(_u15359, _u15358, _u15357)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359))) )).
% 43.40/43.65 cnf(matrix-6632, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), _u15358), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15357, tc_HOL_Obool), _u15359)) = c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), skolem394(_u15359, _u15358, _u15357)), hAPP(hAPP(c_Set_Oinsert(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359))) )).
% 43.40/43.65 cnf(matrix-6633, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), _u15358), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15357, tc_HOL_Obool), _u15359)) = c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) | ( skolem393(_u15359, _u15358, _u15357) != skolem394(_u15359, _u15358, _u15357)) )).
% 43.40/43.65 cnf(matrix-6634, plain, ( hBOOL(hAPP(hAPP(c_member(tc_fun(_u15357, tc_HOL_Obool)), _u15358), _u15359)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), _u15358), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15357, tc_HOL_Obool), _u15359)) = c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15357, tc_HOL_Obool)), skolem393(_u15359, _u15358, _u15357)), skolem394(_u15359, _u15358, _u15357)) != c_Orderings_Obot__class_Obot(tc_fun(_u15357, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-6635, plain, ( ( _u15361 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15362, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15362, _u15363, _u15364, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15362, tc_HOL_Obool), _u15361)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15362, tc_HOL_Obool)), skolem395(_u15364, _u15363, _u15362, _u15361)), _u15361)) )).
% 43.40/43.65 cnf(matrix-6636, plain, ( ( _u15361 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15362, tc_HOL_Obool), tc_HOL_Obool))) | c_Fun_Oinj__on(_u15362, _u15363, _u15364, c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15362, tc_HOL_Obool), _u15361)) | ~c_Fun_Oinj__on(_u15362, _u15363, _u15364, skolem395(_u15364, _u15363, _u15362, _u15361)) )).
% 43.40/43.65 cnf(matrix-6637, plain, ( ( _u15367 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15366, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15366, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15366, tc_HOL_Obool), _u15367)), _u15368)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15366, tc_HOL_Obool)), skolem396(_u15368, _u15367, _u15366)), _u15367)) )).
% 43.40/43.65 cnf(matrix-6638, plain, ( ( _u15367 = c_Orderings_Obot__class_Obot(tc_fun(tc_fun(_u15366, tc_HOL_Obool), tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15366, tc_HOL_Obool)), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15366, tc_HOL_Obool), _u15367)), _u15368)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15366, tc_HOL_Obool)), skolem396(_u15368, _u15367, _u15366)), _u15368)) )).
% 43.40/43.65 cnf(matrix-6639, plain, ( ( _u15370 = c_Orderings_Obot__class_Obot(tc_fun(_u15371, tc_HOL_Obool))) | c_Fun_Oinj__on(_u15372, _u15373, _u15374, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15371, tc_fun(_u15372, tc_HOL_Obool)), _u15370), _u15375)) | hBOOL(hAPP(hAPP(c_member(_u15371), skolem397(_u15375, _u15374, _u15373, _u15372, _u15371, _u15370)), _u15370)) )).
% 43.40/43.65 cnf(matrix-6640, plain, ( ( _u15370 = c_Orderings_Obot__class_Obot(tc_fun(_u15371, tc_HOL_Obool))) | c_Fun_Oinj__on(_u15372, _u15373, _u15374, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u15371, tc_fun(_u15372, tc_HOL_Obool)), _u15370), _u15375)) | ~c_Fun_Oinj__on(_u15372, _u15373, _u15374, hAPP(_u15375, skolem397(_u15375, _u15374, _u15373, _u15372, _u15371, _u15370))) )).
% 43.40/43.65 cnf(matrix-6641, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15377, _u15378, _u15379) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15377, _u15378, _u15379, _u15380, hAPP(hAPP(c_Set_Oinsert(_u15377), _u15381), _u15382)), _u15383)) | hBOOL(hAPP(hAPP(c_member(_u15377), _u15381), _u15382)) | ( _u15383 = hAPP(hAPP(_u15379, _u15381), skolem398(_u15383, _u15382, _u15381, _u15380, _u15379, _u15378, _u15377))) )).
% 43.40/43.65 cnf(matrix-6642, plain, ( ~c_Finite__Set_Ofun__left__comm(_u15377, _u15378, _u15379) | ~hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15377, _u15378, _u15379, _u15380, hAPP(hAPP(c_Set_Oinsert(_u15377), _u15381), _u15382)), _u15383)) | hBOOL(hAPP(hAPP(c_member(_u15377), _u15381), _u15382)) | hBOOL(hAPP(c_Finite__Set_Ofold__graph(_u15377, _u15378, _u15379, _u15380, _u15382), skolem398(_u15383, _u15382, _u15381, _u15380, _u15379, _u15378, _u15377))) )).
% 43.40/43.65 cnf(matrix-6643, plain, ( ~class_Orderings_Olinorder(_u15385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15385), _u15386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15385), hAPP(hAPP(c_Finite__Set_Ofold(_u15385, _u15385, c_Orderings_Oord__class_Omax(_u15385)), _u15388), _u15386)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15385), _u15387), _u15388))) | hBOOL(hAPP(hAPP(c_member(_u15385), skolem399(_u15388, _u15387, _u15386, _u15385)), _u15386)) )).
% 43.40/43.65 cnf(matrix-6644, plain, ( ~class_Orderings_Olinorder(_u15385) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15385), _u15386)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15385), hAPP(hAPP(c_Finite__Set_Ofold(_u15385, _u15385, c_Orderings_Oord__class_Omax(_u15385)), _u15388), _u15386)), hAPP(hAPP(c_Orderings_Oord__class_Omax(_u15385), _u15387), _u15388))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15385), skolem399(_u15388, _u15387, _u15386, _u15385)), _u15387)) )).
% 43.40/43.65 cnf(matrix-6645, plain, ( ~class_Orderings_Olinorder(_u15390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15390), _u15391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15390), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15390), _u15392), _u15393)), hAPP(hAPP(c_Finite__Set_Ofold(_u15390, _u15390, c_Orderings_Oord__class_Omin(_u15390)), _u15393), _u15391))) | hBOOL(hAPP(hAPP(c_member(_u15390), skolem400(_u15393, _u15392, _u15391, _u15390)), _u15391)) )).
% 43.40/43.65 cnf(matrix-6646, plain, ( ~class_Orderings_Olinorder(_u15390) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15390), _u15391)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15390), hAPP(hAPP(c_Orderings_Oord__class_Omin(_u15390), _u15392), _u15393)), hAPP(hAPP(c_Finite__Set_Ofold(_u15390, _u15390, c_Orderings_Oord__class_Omin(_u15390)), _u15393), _u15391))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15390), _u15392), skolem400(_u15393, _u15392, _u15391, _u15390))) )).
% 43.40/43.65 cnf(matrix-6647, plain, ( hBOOL(hAPP(hAPP(c_member(_u15395), _u15397), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15395, tc_HOL_Obool), _u15396))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15395, tc_HOL_Obool)), skolem401(_u15397, _u15396, _u15395)), _u15396)) )).
% 43.40/43.65 cnf(matrix-6648, plain, ( hBOOL(hAPP(hAPP(c_member(_u15395), _u15397), c_Complete__Lattice_OInf__class_OInf(tc_fun(_u15395, tc_HOL_Obool), _u15396))) | ~hBOOL(hAPP(hAPP(c_member(_u15395), _u15397), skolem401(_u15397, _u15396, _u15395))) )).
% 43.40/43.65 cnf(matrix-6649, plain, ( ~class_Lattices_Osemilattice__inf(_u15399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15399), _u15400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15399), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15399), _u15401), _u15402)), hAPP(hAPP(c_Finite__Set_Ofold(_u15399, _u15399, c_Lattices_Osemilattice__inf__class_Oinf(_u15399)), _u15402), _u15400))) | hBOOL(hAPP(hAPP(c_member(_u15399), skolem402(_u15402, _u15401, _u15400, _u15399)), _u15400)) )).
% 43.40/43.65 cnf(matrix-6650, plain, ( ~class_Lattices_Osemilattice__inf(_u15399) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15399), _u15400)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15399), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(_u15399), _u15401), _u15402)), hAPP(hAPP(c_Finite__Set_Ofold(_u15399, _u15399, c_Lattices_Osemilattice__inf__class_Oinf(_u15399)), _u15402), _u15400))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15399), _u15401), skolem402(_u15402, _u15401, _u15400, _u15399))) )).
% 43.40/43.65 cnf(matrix-6651, plain, ( ~class_Lattices_Osemilattice__sup(_u15404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15404), _u15405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15404), hAPP(hAPP(c_Finite__Set_Ofold(_u15404, _u15404, c_Lattices_Osemilattice__sup__class_Osup(_u15404)), _u15407), _u15405)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15404), _u15406), _u15407))) | hBOOL(hAPP(hAPP(c_member(_u15404), skolem403(_u15407, _u15406, _u15405, _u15404)), _u15405)) )).
% 43.40/43.65 cnf(matrix-6652, plain, ( ~class_Lattices_Osemilattice__sup(_u15404) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15404), _u15405)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15404), hAPP(hAPP(c_Finite__Set_Ofold(_u15404, _u15404, c_Lattices_Osemilattice__sup__class_Osup(_u15404)), _u15407), _u15405)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(_u15404), _u15406), _u15407))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15404), skolem403(_u15407, _u15406, _u15405, _u15404)), _u15406)) )).
% 43.40/43.65 cnf(matrix-6653, plain, ( ~class_Divides_Osemiring__div(_u15408) | ( _u15409 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u15408), hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u15408), hAPP(hAPP(c_Divides_Odiv__class_Odiv(_u15408), _u15409), _u15410)), _u15410)), c_Divides_Odiv__class_Omod(_u15408, _u15409, _u15410))) )).
% 43.40/43.65 cnf(matrix-6654, plain, ( ~c_Wellfounded_Owf(_u15421, _u15423) | ~hBOOL(hAPP(hAPP(c_member(_u15421), _u15411), _u15414)) | hBOOL(hAPP(hAPP(c_member(_u15421), skolem404(_u15423, _u15421, _u15414)), _u15414)) )).
% 43.40/43.65 cnf(matrix-6655, plain, ( ~c_Wellfounded_Owf(_u15421, _u15423) | ~hBOOL(hAPP(hAPP(c_member(_u15421), _u15411), _u15414)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15421, _u15421)), hAPP(hAPP(c_Product__Type_OPair(_u15421, _u15421), _u15412), skolem404(_u15423, _u15421, _u15414))), _u15423)) | ~hBOOL(hAPP(hAPP(c_member(_u15421), _u15412), _u15414)) )).
% 43.40/43.65 cnf(matrix-6656, plain, ( c_Wellfounded_Owf(_u15422, _u15424) | hBOOL(hAPP(hAPP(c_member(_u15422), skolem406(_u15424, _u15422)), skolem405(_u15424, _u15422))) )).
% 43.40/43.65 cnf(matrix-6657, plain, ( c_Wellfounded_Owf(_u15422, _u15424) | ~hBOOL(hAPP(hAPP(c_member(_u15422), _u15417), skolem405(_u15424, _u15422))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15422, _u15422)), hAPP(hAPP(c_Product__Type_OPair(_u15422, _u15422), skolem407(_u15424, _u15422, _u15417)), _u15417)), _u15424)) )).
% 43.40/43.65 cnf(matrix-6658, plain, ( c_Wellfounded_Owf(_u15422, _u15424) | ~hBOOL(hAPP(hAPP(c_member(_u15422), _u15417), skolem405(_u15424, _u15422))) | hBOOL(hAPP(hAPP(c_member(_u15422), skolem407(_u15424, _u15422, _u15417)), skolem405(_u15424, _u15422))) )).
% 43.40/43.65 cnf(matrix-6659, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15426), _u15431)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15426), _u15432)) | ( hAPP(_u15430, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u15426, tc_HOL_Obool)), _u15431), _u15432)) = hAPP(hAPP(_u15427, hAPP(_u15430, _u15431)), hAPP(_u15430, _u15432))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15425, _u15426, _u15427, _u15428, _u15429, _u15430) )).
% 43.40/43.65 cnf(matrix-6660, plain, ( ( hAPP(hAPP(_u15435, _u15439), _u15439) = _u15439) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15433, _u15434, _u15435, _u15436, _u15437, _u15438) )).
% 43.40/43.65 cnf(matrix-6661, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15441), _u15446)) | ~hBOOL(hAPP(hAPP(c_member(_u15441), _u15447), _u15446)) | ( hAPP(hAPP(_u15442, hAPP(_u15444, _u15447)), hAPP(_u15445, _u15446)) = hAPP(_u15445, _u15446)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15440, _u15441, _u15442, _u15443, _u15444, _u15445) )).
% 43.40/43.65 cnf(matrix-6662, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15449), _u15454)) | ( hAPP(_u15453, hAPP(hAPP(c_Set_Oinsert(_u15449), _u15455), _u15454)) = hAPP(hAPP(_u15450, hAPP(_u15452, _u15455)), hAPP(_u15453, _u15454))) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15448, _u15449, _u15450, _u15451, _u15452, _u15453) )).
% 43.40/43.65 cnf(matrix-6663, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15457), _u15462)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15457, tc_HOL_Obool)), _u15463), _u15462)) | ( hAPP(hAPP(_u15458, hAPP(_u15461, _u15463)), hAPP(_u15461, _u15462)) = hAPP(_u15461, _u15462)) | ~c_Finite__Set_Ofolding__image__simple__idem(_u15456, _u15457, _u15458, _u15459, _u15460, _u15461) )).
% 43.40/43.65 cnf(matrix-6664, 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)))), _u15465)) = 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)))), _u15466))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), skolem408(_u15466, _u15465))) )).
% 43.40/43.65 cnf(matrix-6665, 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)))), _u15465)) = 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)))), _u15466))) | hBOOL(hAPP(_u15465, skolem408(_u15466, _u15465))) | hBOOL(hAPP(_u15466, skolem408(_u15466, _u15465))) )).
% 43.40/43.65 cnf(matrix-6666, 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)))), _u15465)) = 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)))), _u15466))) | ~hBOOL(hAPP(_u15466, skolem408(_u15466, _u15465))) | ~hBOOL(hAPP(_u15465, skolem408(_u15466, _u15465))) )).
% 43.40/43.65 cnf(matrix-6667, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), _u15469), _u15470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15469), hAPP(c_Set_OCollect(_u15468), _u15471))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15470), hAPP(c_Set_OCollect(_u15468), _u15472)))) | hBOOL(hAPP(hAPP(c_member(_u15468), skolem409(_u15472, _u15471, _u15470, _u15469, _u15468)), _u15469)) )).
% 43.40/43.65 cnf(matrix-6668, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), _u15469), _u15470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15469), hAPP(c_Set_OCollect(_u15468), _u15471))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15470), hAPP(c_Set_OCollect(_u15468), _u15472)))) | hBOOL(hAPP(_u15471, skolem409(_u15472, _u15471, _u15470, _u15469, _u15468))) )).
% 43.40/43.65 cnf(matrix-6669, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), _u15469), _u15470)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15468, tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15469), hAPP(c_Set_OCollect(_u15468), _u15471))), hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u15468, tc_HOL_Obool)), _u15470), hAPP(c_Set_OCollect(_u15468), _u15472)))) | ~hBOOL(hAPP(_u15472, skolem409(_u15472, _u15471, _u15470, _u15469, _u15468))) )).
% 43.40/43.65 cnf(matrix-6670, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15474), _u15475), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15474, tc_HOL_Obool), _u15476))) | hBOOL(hAPP(hAPP(c_member(_u15474), _u15475), skolem410(_u15476, _u15475, _u15474))) )).
% 43.40/43.65 cnf(matrix-6671, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15474), _u15475), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u15474, tc_HOL_Obool), _u15476))) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u15474, tc_HOL_Obool)), skolem410(_u15476, _u15475, _u15474)), _u15476)) )).
% 43.40/43.65 cnf(matrix-6672, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15481)), _u15482), hAPP(hAPP(c_Relation_Orel__comp(_u15480, _u15483, _u15481), _u15484), _u15485))) | ( _u15482 = hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15481), skolem411(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480)), skolem413(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480))) )).
% 43.40/43.65 cnf(matrix-6673, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15481)), _u15482), hAPP(hAPP(c_Relation_Orel__comp(_u15480, _u15483, _u15481), _u15484), _u15485))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15483)), hAPP(hAPP(c_Product__Type_OPair(_u15480, _u15483), skolem411(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480)), skolem412(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480))), _u15484)) )).
% 43.40/43.65 cnf(matrix-6674, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15480, _u15481)), _u15482), hAPP(hAPP(c_Relation_Orel__comp(_u15480, _u15483, _u15481), _u15484), _u15485))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15483, _u15481)), hAPP(hAPP(c_Product__Type_OPair(_u15483, _u15481), skolem412(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480)), skolem413(_u15485, _u15484, _u15483, _u15482, _u15481, _u15480))), _u15485)) )).
% 43.40/43.65 cnf(matrix-6675, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15488, _u15489)), _u15490), hAPP(c_Relation_Oconverse(_u15489, _u15488), _u15491))) | ( _u15490 = hAPP(hAPP(c_Product__Type_OPair(_u15488, _u15489), skolem415(_u15491, _u15490, _u15489, _u15488)), skolem414(_u15491, _u15490, _u15489, _u15488))) )).
% 43.40/43.65 cnf(matrix-6676, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15488, _u15489)), _u15490), hAPP(c_Relation_Oconverse(_u15489, _u15488), _u15491))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15489, _u15488)), hAPP(hAPP(c_Product__Type_OPair(_u15489, _u15488), skolem414(_u15491, _u15490, _u15489, _u15488)), skolem415(_u15491, _u15490, _u15489, _u15488))), _u15491)) )).
% 43.40/43.65 cnf(matrix-6677, plain, ( ( c_Nitpick_Oplus__frac(_u15492, _u15493, _u15494) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint, _u15492), c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(_u15492), _u15493), hAPP(c_Nitpick_Odenom(_u15492), _u15494))), hAPP(hAPP(c_COMBS(tc_Int_Oint, tc_Int_Oint, _u15492), hAPP(hAPP(c_COMBB(tc_Int_Oint, tc_fun(tc_Int_Oint, _u15492), tc_Int_Oint), c_Nitpick_Ofrac(_u15492)), 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(_u15492), _u15493))), 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(_u15492), _u15493))))), 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(_u15492), _u15494))), 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(_u15492), _u15494)))))), c_COMBI(tc_Int_Oint)))) )).
% 43.40/43.65 cnf(matrix-6678, plain, ( ( c_Nitpick_Otimes__frac(_u15495, _u15496, _u15497) = hAPP(hAPP(c_Nitpick_Ofrac(_u15495), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15495), _u15496)), hAPP(c_Nitpick_Onum(_u15495), _u15497))), hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint), hAPP(c_Nitpick_Odenom(_u15495), _u15496)), hAPP(c_Nitpick_Odenom(_u15495), _u15497)))) )).
% 43.40/43.65 cnf(matrix-6679, plain, ( ~class_Rings_Oinverse(_u15498) | ~class_Rings_Oring__1(_u15498) | ( c_Nitpick_Oof__frac(_u15499, _u15498, _u15500) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(_u15498), hAPP(c_Int_Oring__1__class_Oof__int(_u15498), hAPP(c_Nitpick_Onum(_u15499), _u15500))), hAPP(c_Int_Oring__1__class_Oof__int(_u15498), hAPP(c_Nitpick_Odenom(_u15499), _u15500)))) )).
% 43.40/43.65 cnf(matrix-6680, plain, ( ( c_Nitpick_Oinverse__frac(_u15501, _u15502) = hAPP(hAPP(c_Nitpick_Ofrac(_u15501), hAPP(c_Nitpick_Odenom(_u15501), _u15502)), hAPP(c_Nitpick_Onum(_u15501), _u15502))) )).
% 43.40/43.65 cnf(matrix-6681, plain, ( ( c_Nitpick_Ouminus__frac(_u15503, _u15504) = c_Nitpick_OAbs__Frac(_u15503, 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(_u15503), _u15504))), hAPP(c_Nitpick_Odenom(_u15503), _u15504)))) )).
% 43.40/43.65 cnf(matrix-6682, plain, ( ~c_Nitpick_Oless__frac(_u15508, _u15510, _u15512) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15508), c_Nitpick_Oplus__frac(_u15508, _u15510, c_Nitpick_Ouminus__frac(_u15508, _u15512)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.40/43.65 cnf(matrix-6683, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15509), c_Nitpick_Oplus__frac(_u15509, _u15511, c_Nitpick_Ouminus__frac(_u15509, _u15513)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__frac(_u15509, _u15511, _u15513) )).
% 43.40/43.65 cnf(matrix-6684, plain, ( ~c_Nitpick_Oless__eq__frac(_u15517, _u15519, _u15521) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15517), c_Nitpick_Oplus__frac(_u15517, _u15519, c_Nitpick_Ouminus__frac(_u15517, _u15521)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )).
% 43.40/43.65 cnf(matrix-6685, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Nitpick_Onum(_u15518), c_Nitpick_Oplus__frac(_u15518, _u15520, c_Nitpick_Ouminus__frac(_u15518, _u15522)))), c_Groups_Ozero__class_Ozero(tc_Int_Oint))) | c_Nitpick_Oless__eq__frac(_u15518, _u15520, _u15522) )).
% 43.40/43.65 cnf(matrix-6686, plain, ( ( c_Nitpick_Odenom(_u15523) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u15523, c_Product__Type_Osnd(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u15523))) )).
% 43.40/43.65 cnf(matrix-6687, plain, ( ( c_Nitpick_Onum(_u15524) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint, tc_Int_Oint), tc_Int_Oint, _u15524, c_Product__Type_Ofst(tc_Int_Oint, tc_Int_Oint)), c_Nitpick_ORep__Frac(_u15524))) )).
% 43.40/43.65 cnf(matrix-6688, plain, ( ~class_Rings_Olinordered__semidom(_u15526) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15526), c_Groups_Ozero__class_Ozero(_u15526)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15527, _u15526), _u15529), _u15528))) | hBOOL(hAPP(hAPP(c_member(_u15527), skolem416(_u15529, _u15528, _u15527, _u15526)), _u15528)) )).
% 43.40/43.65 cnf(matrix-6689, plain, ( ~class_Rings_Olinordered__semidom(_u15526) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15526), c_Groups_Ozero__class_Ozero(_u15526)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15527, _u15526), _u15529), _u15528))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u15526), c_Groups_Ozero__class_Ozero(_u15526)), hAPP(_u15529, skolem416(_u15529, _u15528, _u15527, _u15526)))) )).
% 43.40/43.65 cnf(matrix-6690, plain, ( ( c_Product__Type_Ointernal__split(_u15530, _u15531, _u15532) = c_Product__Type_Oprod_Oprod__case(_u15530, _u15531, _u15532)) )).
% 43.40/43.65 cnf(matrix-6691, plain, ( ( hAPP(hAPP(c_Product__Type_Ointernal__split(_u15533, _u15534, _u15535), _u15536), hAPP(hAPP(c_Product__Type_OPair(_u15533, _u15534), _u15537), _u15538)) = hAPP(hAPP(_u15536, _u15537), _u15538)) )).
% 43.40/43.65 cnf(matrix-6692, plain, ( ~class_Rings_Olinordered__semidom(_u15540) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15540), c_Groups_Ozero__class_Ozero(_u15540)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15541, _u15540), _u15543), _u15542))) | hBOOL(hAPP(hAPP(c_member(_u15541), skolem417(_u15543, _u15542, _u15541, _u15540)), _u15542)) )).
% 43.40/43.65 cnf(matrix-6693, plain, ( ~class_Rings_Olinordered__semidom(_u15540) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15540), c_Groups_Ozero__class_Ozero(_u15540)), hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(_u15541, _u15540), _u15543), _u15542))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u15540), c_Groups_Ozero__class_Ozero(_u15540)), hAPP(_u15543, skolem417(_u15543, _u15542, _u15541, _u15540)))) )).
% 43.40/43.65 cnf(matrix-6694, plain, ( ( c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-6695, plain, ( ( c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-6696, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem418(_u15546, _u15545)), hAPP(_u15545, skolem418(_u15546, _u15545)))) | 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)), _u15545)), _u15546)))) )).
% 43.40/43.65 cnf(matrix-6697, plain, ( ( c_List_Olenlex(_u15547, _u15548) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat, tc_List_Olist(_u15547)), tc_List_Olist(_u15547)), c_Wellfounded_Olex__prod(tc_Nat_Onat, tc_List_Olist(_u15547), c_Wellfounded_Oless__than, c_List_Olex(_u15547, _u15548))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15547), tc_List_Olist(_u15547), tc_prod(tc_Nat_Onat, tc_List_Olist(_u15547))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_List_Olist(_u15547), tc_prod(tc_Nat_Onat, tc_List_Olist(_u15547))), tc_List_Olist(_u15547)), c_Product__Type_OPair(tc_Nat_Onat, tc_List_Olist(_u15547))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15547)))), c_COMBI(tc_List_Olist(_u15547))))) )).
% 43.40/43.65 cnf(matrix-6698, plain, ( ( _u15550 != _u15551) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15549)), _u15550) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15549)), _u15551)) )).
% 43.40/43.65 cnf(matrix-6699, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15552), tc_List_Olist(_u15552))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15552), tc_List_Olist(_u15552)), _u15553), _u15554)), hAPP(c_List_Olexn(_u15552, _u15555), _u15556))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15552)), _u15553) = _u15556) )).
% 43.40/43.65 cnf(matrix-6700, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15552), tc_List_Olist(_u15552))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15552), tc_List_Olist(_u15552)), _u15553), _u15554)), hAPP(c_List_Olexn(_u15552, _u15555), _u15556))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15552)), _u15554) = _u15556) )).
% 43.40/43.65 cnf(matrix-6701, plain, ( ( c_List_Olenlex(_u15557, _u15558) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15557), tc_List_Olist(_u15557), tc_HOL_Obool), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15557), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBS(tc_List_Olist(_u15557), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u15557)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15557)), c_fdisj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15557), tc_fun(tc_List_Olist(_u15557), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15557), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15557))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15557)), c_Orderings_Oord__class_Oless(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15557))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15557)))))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15557), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBS(tc_List_Olist(_u15557), tc_HOL_Obool, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_List_Olist(_u15557)), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15557)), c_fconj)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15557), tc_fun(tc_List_Olist(_u15557), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15557), tc_Nat_Onat), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u15557))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15557)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15557))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u15557)))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15557), tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15557), tc_HOL_Obool)), tc_List_Olist(_u15557)), c_COMBC(tc_List_Olist(_u15557), tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15557), tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557))), tc_fun(tc_List_Olist(_u15557), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_HOL_Obool)), tc_List_Olist(_u15557)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_fun(tc_fun(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557)), tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15557)), c_member(tc_prod(tc_List_Olist(_u15557), tc_List_Olist(_u15557))))), c_Product__Type_OPair(tc_List_Olist(_u15557), tc_List_Olist(_u15557))))), c_List_Olex(_u15557, _u15558))))))) )).
% 43.40/43.65 cnf(matrix-6702, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u15559))), c_Enum_Osublists(_u15559, _u15560)) = 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(_u15559)), _u15560))) )).
% 43.40/43.65 cnf(matrix-6703, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15561)), c_List_Osublist(_u15561, _u15562, _u15563)) = 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(_u15561)), _u15562)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15563))))) )).
% 43.40/43.65 cnf(matrix-6704, plain, ( ( hAPP(c_List_Olexn(_u15564, _u15565), hAPP(c_Nat_OSuc, _u15566)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(_u15564), tc_List_Olist(_u15564)), tc_HOL_Obool)), hAPP(c_Set_Oimage(tc_prod(tc_prod(_u15564, tc_List_Olist(_u15564)), tc_prod(_u15564, tc_List_Olist(_u15564))), tc_prod(tc_List_Olist(_u15564), tc_List_Olist(_u15564)), c_Product__Type_Omap__pair(tc_prod(_u15564, tc_List_Olist(_u15564)), tc_List_Olist(_u15564), tc_prod(_u15564, tc_List_Olist(_u15564)), tc_List_Olist(_u15564), hAPP(c_Product__Type_Oprod_Oprod__case(_u15564, tc_List_Olist(_u15564), tc_List_Olist(_u15564)), c_List_Olist_OCons(_u15564)), hAPP(c_Product__Type_Oprod_Oprod__case(_u15564, tc_List_Olist(_u15564), tc_List_Olist(_u15564)), c_List_Olist_OCons(_u15564)))), c_Wellfounded_Olex__prod(_u15564, tc_List_Olist(_u15564), _u15565, hAPP(c_List_Olexn(_u15564, _u15565), _u15566)))), hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(_u15564), tc_List_Olist(_u15564))), hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u15564), tc_List_Olist(_u15564), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15564), tc_fun(tc_List_Olist(_u15564), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15564), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15564), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15564), tc_HOL_Obool)), tc_List_Olist(_u15564)), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15564))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15564)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15564), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15564)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15564)))), hAPP(c_Nat_OSuc, _u15566))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15564), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15564)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u15564)))), hAPP(c_Nat_OSuc, _u15566))))))) )).
% 43.40/43.65 cnf(matrix-6705, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15571), tc_List_Olist(_u15571))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15571), tc_List_Olist(_u15571)), _u15573), _u15575)), c_List_Olex(_u15571, _u15577))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15571), tc_List_Olist(_u15571))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15571), tc_List_Olist(_u15571)), _u15573), _u15575)), c_List_Olexord(_u15571, _u15577))) )).
% 43.40/43.65 cnf(matrix-6706, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15571), tc_List_Olist(_u15571))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15571), tc_List_Olist(_u15571)), _u15573), _u15575)), c_List_Olex(_u15571, _u15577))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15573) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15571)), _u15575)) )).
% 43.40/43.65 cnf(matrix-6707, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15572), tc_List_Olist(_u15572))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15572), tc_List_Olist(_u15572)), _u15574), _u15576)), c_List_Olexord(_u15572, _u15578))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15572)), _u15574) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15572)), _u15576)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15572), tc_List_Olist(_u15572))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15572), tc_List_Olist(_u15572)), _u15574), _u15576)), c_List_Olex(_u15572, _u15578))) )).
% 43.40/43.65 cnf(matrix-6708, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15579)), _u15580)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15579)), _u15581))) | ( _u15580 != hAPP(hAPP(c_List_Olist_OCons(_u15579), _u15582), _u15581)) )).
% 43.40/43.65 cnf(matrix-6709, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15589), tc_List_Olist(_u15589))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15589), tc_List_Olist(_u15589)), hAPP(hAPP(c_List_Olist_OCons(_u15589), _u15591), _u15593)), hAPP(hAPP(c_List_Olist_OCons(_u15589), _u15595), _u15597))), c_List_Olexord(_u15589, _u15599))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15589, _u15589)), hAPP(hAPP(c_Product__Type_OPair(_u15589, _u15589), _u15591), _u15595)), _u15599)) | ( _u15591 = _u15595) )).
% 43.40/43.65 cnf(matrix-6710, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15589), tc_List_Olist(_u15589))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15589), tc_List_Olist(_u15589)), hAPP(hAPP(c_List_Olist_OCons(_u15589), _u15591), _u15593)), hAPP(hAPP(c_List_Olist_OCons(_u15589), _u15595), _u15597))), c_List_Olexord(_u15589, _u15599))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15589, _u15589)), hAPP(hAPP(c_Product__Type_OPair(_u15589, _u15589), _u15591), _u15595)), _u15599)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15589), tc_List_Olist(_u15589))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15589), tc_List_Olist(_u15589)), _u15593), _u15597)), c_List_Olexord(_u15589, _u15599))) )).
% 43.40/43.65 cnf(matrix-6711, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15590), tc_List_Olist(_u15590))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15590), tc_List_Olist(_u15590)), hAPP(hAPP(c_List_Olist_OCons(_u15590), _u15592), _u15594)), hAPP(hAPP(c_List_Olist_OCons(_u15590), _u15596), _u15598))), c_List_Olexord(_u15590, _u15600))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15590, _u15590)), hAPP(hAPP(c_Product__Type_OPair(_u15590, _u15590), _u15592), _u15596)), _u15600)) )).
% 43.40/43.65 cnf(matrix-6712, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15590), tc_List_Olist(_u15590))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15590), tc_List_Olist(_u15590)), hAPP(hAPP(c_List_Olist_OCons(_u15590), _u15592), _u15594)), hAPP(hAPP(c_List_Olist_OCons(_u15590), _u15596), _u15598))), c_List_Olexord(_u15590, _u15600))) | ( _u15592 != _u15596) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15590), tc_List_Olist(_u15590))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15590), tc_List_Olist(_u15590)), _u15594), _u15598)), c_List_Olexord(_u15590, _u15600))) )).
% 43.40/43.65 cnf(matrix-6713, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15606), _u15608), _u15610) != hAPP(hAPP(c_List_Olist_OCons(_u15606), _u15612), _u15614)) | ( _u15608 = _u15612) )).
% 43.40/43.65 cnf(matrix-6714, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15606), _u15608), _u15610) != hAPP(hAPP(c_List_Olist_OCons(_u15606), _u15612), _u15614)) | ( _u15610 = _u15614) )).
% 43.40/43.65 cnf(matrix-6715, plain, ( ( _u15609 != _u15613) | ( _u15611 != _u15615) | ( hAPP(hAPP(c_List_Olist_OCons(_u15607), _u15609), _u15611) = hAPP(hAPP(c_List_Olist_OCons(_u15607), _u15613), _u15615)) )).
% 43.40/43.65 cnf(matrix-6716, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u15616), _u15617), _u15618) != _u15618) )).
% 43.40/43.65 cnf(matrix-6717, plain, ( ( _u15619 != hAPP(hAPP(c_List_Olist_OCons(_u15620), _u15621), _u15619)) )).
% 43.40/43.65 cnf(matrix-6718, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15622)), hAPP(hAPP(c_List_Olist_OCons(_u15622), _u15623), _u15624)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15622)), _u15624)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-6719, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15633), _u15635)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15637), _u15639))), c_List_Olex(_u15631, _u15641))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15633), _u15637)), _u15641)) | ( _u15633 = _u15637) )).
% 43.40/43.65 cnf(matrix-6720, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15633), _u15635)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15637), _u15639))), c_List_Olex(_u15631, _u15641))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15631, _u15631)), hAPP(hAPP(c_Product__Type_OPair(_u15631, _u15631), _u15633), _u15637)), _u15641)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), _u15635), _u15639)), c_List_Olex(_u15631, _u15641))) )).
% 43.40/43.65 cnf(matrix-6721, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15633), _u15635)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15637), _u15639))), c_List_Olex(_u15631, _u15641))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15631)), _u15635) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15631)), _u15639)) | ( _u15633 = _u15637) )).
% 43.40/43.65 cnf(matrix-6722, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15633), _u15635)), hAPP(hAPP(c_List_Olist_OCons(_u15631), _u15637), _u15639))), c_List_Olex(_u15631, _u15641))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15631)), _u15635) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15631)), _u15639)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15631), tc_List_Olist(_u15631))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15631), tc_List_Olist(_u15631)), _u15635), _u15639)), c_List_Olex(_u15631, _u15641))) )).
% 43.40/43.65 cnf(matrix-6723, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15632), tc_List_Olist(_u15632))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15632), tc_List_Olist(_u15632)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15634), _u15636)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15638), _u15640))), c_List_Olex(_u15632, _u15642))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15632, _u15632)), hAPP(hAPP(c_Product__Type_OPair(_u15632, _u15632), _u15634), _u15638)), _u15642)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15632)), _u15636) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15632)), _u15640)) )).
% 43.40/43.65 cnf(matrix-6724, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15632), tc_List_Olist(_u15632))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15632), tc_List_Olist(_u15632)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15634), _u15636)), hAPP(hAPP(c_List_Olist_OCons(_u15632), _u15638), _u15640))), c_List_Olex(_u15632, _u15642))) | ( _u15634 != _u15638) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15632), tc_List_Olist(_u15632))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15632), tc_List_Olist(_u15632)), _u15636), _u15640)), c_List_Olex(_u15632, _u15642))) )).
% 43.40/43.65 cnf(matrix-6725, plain, ( ( c_List_Oset__Cons(_u15643, _u15644, _u15645) = hAPP(c_Set_OCollect(tc_List_Olist(_u15643)), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_HOL_Obool), tc_HOL_Obool, tc_List_Olist(_u15643)), c_HOL_OEx(_u15643)), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(_u15643, tc_HOL_Obool), tc_List_Olist(_u15643)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_HOL_Obool, _u15643), c_HOL_OEx(tc_List_Olist(_u15643)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15643), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_fun(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), tc_fun(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), tc_List_Olist(_u15643)), c_COMBS(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_fun(_u15643, tc_fun(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), tc_List_Olist(_u15643)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), tc_fun(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), _u15643), c_COMBS(tc_List_Olist(_u15643), tc_HOL_Obool, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_fun(tc_HOL_Obool, tc_HOL_Obool))), tc_List_Olist(_u15643)), hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_fun(tc_HOL_Obool, tc_HOL_Obool)), _u15643), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15643)), c_fconj))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15643), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643))), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643)), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_fun(tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643))), tc_fun(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool))), tc_List_Olist(_u15643)), c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643)), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), _u15643)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15643), tc_List_Olist(_u15643)), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), tc_List_Olist(_u15643)), c_COMBB(tc_List_Olist(_u15643), tc_HOL_Obool, tc_List_Olist(_u15643))), c_fequal))), c_List_Olist_OCons(_u15643)))))), hAPP(hAPP(c_COMBC(_u15643, tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool)), _u15643), c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u15643))), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u15643), c_fconj), hAPP(hAPP(c_COMBC(_u15643, tc_fun(_u15643, tc_HOL_Obool), tc_HOL_Obool), c_member(_u15643)), _u15644)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15643), tc_fun(tc_List_Olist(_u15643), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u15643))), _u15645))))))) )).
% 43.40/43.65 cnf(matrix-6726, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15650), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15652), _u15654))) | ( hAPP(c_Random_Opick(_u15652, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15652)), _u15654), _u15656)), _u15650) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u15652), _u15654)) )).
% 43.40/43.65 cnf(matrix-6727, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u15651), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15653), _u15655))) | ( hAPP(c_Random_Opick(_u15653, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15653)), _u15655), _u15657)), _u15651) = hAPP(c_Random_Opick(_u15653, _u15657), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u15651), hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u15653), _u15655)))) )).
% 43.40/43.65 cnf(matrix-6728, plain, ( ( c_Random_Oselect__weight(_u15658, hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral, _u15658)), hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u15658), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)), _u15659)), _u15660)) = c_Random_Oselect__weight(_u15658, _u15660)) )).
% 43.40/43.65 cnf(matrix-6729, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15661, _u15661)), hAPP(hAPP(c_Product__Type_OPair(_u15661, _u15661), _u15662), _u15663)), c_Transitive__Closure_Ortrancl(_u15661, _u15664))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15661), tc_List_Olist(_u15661))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15661), tc_List_Olist(_u15661)), _u15665), _u15666)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15661), c_List_Olistrel1(_u15661, _u15664)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15661), tc_List_Olist(_u15661))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15661), tc_List_Olist(_u15661)), hAPP(hAPP(c_List_Olist_OCons(_u15661), _u15662), _u15665)), hAPP(hAPP(c_List_Olist_OCons(_u15661), _u15663), _u15666))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15661), c_List_Olistrel1(_u15661, _u15664)))) )).
% 43.40/43.65 cnf(matrix-6730, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15667), _u15668), c_Wellfounded_Oacc(_u15667, _u15669))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15667)), _u15670), c_Wellfounded_Oacc(tc_List_Olist(_u15667), c_List_Olistrel1(_u15667, _u15669)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15667)), hAPP(hAPP(c_List_Olist_OCons(_u15667), _u15668), _u15670)), c_Wellfounded_Oacc(tc_List_Olist(_u15667), c_List_Olistrel1(_u15667, _u15669)))) )).
% 43.40/43.65 cnf(matrix-6731, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15671), tc_List_Olist(_u15671)), tc_HOL_Obool)), c_List_Olistrel1(_u15671, c_Transitive__Closure_Ortrancl(_u15671, _u15672))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15671), c_List_Olistrel1(_u15671, _u15672)))) )).
% 43.40/43.65 cnf(matrix-6732, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15673, _u15673), tc_HOL_Obool)), _u15674), _u15675)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15673), tc_List_Olist(_u15673)), tc_HOL_Obool)), c_List_Olistrel1(_u15673, _u15674)), c_List_Olistrel1(_u15673, _u15675))) )).
% 43.40/43.65 cnf(matrix-6733, plain, ( ( c_List_Olistrel1(_u15676, hAPP(c_Relation_Oconverse(_u15676, _u15676), _u15677)) = hAPP(c_Relation_Oconverse(tc_List_Olist(_u15676), tc_List_Olist(_u15676)), c_List_Olistrel1(_u15676, _u15677))) )).
% 43.40/43.65 cnf(matrix-6734, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15678), tc_List_Olist(_u15678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15678), tc_List_Olist(_u15678)), _u15679), _u15680)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15678), c_List_Olistrel1(_u15678, _u15681)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15678), tc_List_Olist(_u15678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15678), tc_List_Olist(_u15678)), hAPP(hAPP(c_List_Olist_OCons(_u15678), _u15682), _u15679)), hAPP(hAPP(c_List_Olist_OCons(_u15678), _u15682), _u15680))), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15678), c_List_Olistrel1(_u15678, _u15681)))) )).
% 43.40/43.65 cnf(matrix-6735, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15683), tc_List_Olist(_u15683))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15683), tc_List_Olist(_u15683)), _u15684), _u15685)), c_List_Olistrel1(_u15683, _u15686))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15683), tc_List_Olist(_u15683))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15683), tc_List_Olist(_u15683)), hAPP(hAPP(c_List_Olist_OCons(_u15683), _u15687), _u15684)), hAPP(hAPP(c_List_Olist_OCons(_u15683), _u15687), _u15685))), c_List_Olistrel1(_u15683, _u15686))) )).
% 43.40/43.65 cnf(matrix-6736, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15688), tc_List_Olist(_u15688))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15688), tc_List_Olist(_u15688)), _u15689), _u15690)), c_List_Olistrel1(_u15688, _u15691))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15688)), _u15689) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15688)), _u15690)) )).
% 43.40/43.65 cnf(matrix-6737, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15692), tc_List_Olist(_u15692))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15692), tc_List_Olist(_u15692)), _u15693), _u15694)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15692), c_List_Olistrel1(_u15692, _u15695)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15692)), _u15693) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15692)), _u15694)) )).
% 43.40/43.65 cnf(matrix-6738, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15700), tc_List_Olist(_u15700))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15700), tc_List_Olist(_u15700)), _u15702), _u15704)), c_List_Olistrel1(_u15700, hAPP(c_Relation_Oconverse(_u15700, _u15700), _u15706)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15700), tc_List_Olist(_u15700))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15700), tc_List_Olist(_u15700)), _u15702), _u15704)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15700), tc_List_Olist(_u15700)), c_List_Olistrel1(_u15700, _u15706)))) )).
% 43.40/43.65 cnf(matrix-6739, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15701), tc_List_Olist(_u15701))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15701), tc_List_Olist(_u15701)), _u15703), _u15705)), hAPP(c_Relation_Oconverse(tc_List_Olist(_u15701), tc_List_Olist(_u15701)), c_List_Olistrel1(_u15701, _u15707)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15701), tc_List_Olist(_u15701))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15701), tc_List_Olist(_u15701)), _u15703), _u15705)), c_List_Olistrel1(_u15701, hAPP(c_Relation_Oconverse(_u15701, _u15701), _u15707)))) )).
% 43.40/43.65 cnf(matrix-6740, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15716), _u15718)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15720), _u15722))), c_List_Olistrel1(_u15714, _u15724))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15714, _u15714)), hAPP(hAPP(c_Product__Type_OPair(_u15714, _u15714), _u15716), _u15720)), _u15724)) | ( _u15716 = _u15720) )).
% 43.40/43.65 cnf(matrix-6741, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15716), _u15718)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15720), _u15722))), c_List_Olistrel1(_u15714, _u15724))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15714, _u15714)), hAPP(hAPP(c_Product__Type_OPair(_u15714, _u15714), _u15716), _u15720)), _u15724)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), _u15718), _u15722)), c_List_Olistrel1(_u15714, _u15724))) )).
% 43.40/43.65 cnf(matrix-6742, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15716), _u15718)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15720), _u15722))), c_List_Olistrel1(_u15714, _u15724))) | ( _u15718 = _u15722) | ( _u15716 = _u15720) )).
% 43.40/43.65 cnf(matrix-6743, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15716), _u15718)), hAPP(hAPP(c_List_Olist_OCons(_u15714), _u15720), _u15722))), c_List_Olistrel1(_u15714, _u15724))) | ( _u15718 = _u15722) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15714), tc_List_Olist(_u15714))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15714), tc_List_Olist(_u15714)), _u15718), _u15722)), c_List_Olistrel1(_u15714, _u15724))) )).
% 43.40/43.65 cnf(matrix-6744, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15715), tc_List_Olist(_u15715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15715), tc_List_Olist(_u15715)), hAPP(hAPP(c_List_Olist_OCons(_u15715), _u15717), _u15719)), hAPP(hAPP(c_List_Olist_OCons(_u15715), _u15721), _u15723))), c_List_Olistrel1(_u15715, _u15725))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15715, _u15715)), hAPP(hAPP(c_Product__Type_OPair(_u15715, _u15715), _u15717), _u15721)), _u15725)) | ( _u15719 != _u15723) )).
% 43.40/43.65 cnf(matrix-6745, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15715), tc_List_Olist(_u15715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15715), tc_List_Olist(_u15715)), hAPP(hAPP(c_List_Olist_OCons(_u15715), _u15717), _u15719)), hAPP(hAPP(c_List_Olist_OCons(_u15715), _u15721), _u15723))), c_List_Olistrel1(_u15715, _u15725))) | ( _u15717 != _u15721) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15715), tc_List_Olist(_u15715))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15715), tc_List_Olist(_u15715)), _u15719), _u15723)), c_List_Olistrel1(_u15715, _u15725))) )).
% 43.40/43.65 cnf(matrix-6746, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15726, _u15726)), hAPP(hAPP(c_Product__Type_OPair(_u15726, _u15726), _u15727), _u15728)), _u15729)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15726), tc_List_Olist(_u15726))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15726), tc_List_Olist(_u15726)), hAPP(hAPP(c_List_Olist_OCons(_u15726), _u15727), _u15730)), hAPP(hAPP(c_List_Olist_OCons(_u15726), _u15728), _u15730))), c_List_Olistrel1(_u15726, _u15729))) )).
% 43.40/43.65 cnf(matrix-6747, plain, ( ( c_List_Olist_Olist__size(_u15731, _u15732, hAPP(hAPP(c_List_Olist_OCons(_u15731), _u15733), _u15734)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u15732, _u15733)), c_List_Olist_Olist__size(_u15731, _u15732, _u15734))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-6748, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u15735), tc_List_Olist(_u15735), c_List_Olistrel(_u15735, _u15736)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15735)), hAPP(hAPP(c_List_Olist_OCons(_u15735), _u15737), _u15738)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15735), tc_HOL_Obool)))) = c_List_Oset__Cons(_u15735, hAPP(c_Relation_OImage(_u15735, _u15735, _u15736), hAPP(hAPP(c_Set_Oinsert(_u15735), _u15737), c_Orderings_Obot__class_Obot(tc_fun(_u15735, tc_HOL_Obool)))), hAPP(c_Relation_OImage(tc_List_Olist(_u15735), tc_List_Olist(_u15735), c_List_Olistrel(_u15735, _u15736)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u15735)), _u15738), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u15735), tc_HOL_Obool)))))) )).
% 43.40/43.65 cnf(matrix-6749, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15739), tc_List_Olist(_u15739))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15739), tc_List_Olist(_u15739)), _u15740), _u15740)), c_List_Olistrel(_u15739, c_Transitive__Closure_Ortrancl(_u15739, _u15741)))) )).
% 43.40/43.65 cnf(matrix-6750, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15742, _u15742), tc_HOL_Obool)), _u15743), _u15744)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15742), tc_List_Olist(_u15742)), tc_HOL_Obool)), c_List_Olistrel(_u15742, _u15743)), c_List_Olistrel(_u15742, _u15744))) )).
% 43.40/43.65 cnf(matrix-6751, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15745), tc_List_Olist(_u15745)), tc_HOL_Obool)), c_List_Olistrel(_u15745, _u15746)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15745), c_List_Olistrel1(_u15745, _u15746)))) )).
% 43.40/43.65 cnf(matrix-6752, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15747), tc_List_Olist(_u15747))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15747), tc_List_Olist(_u15747)), _u15748), _u15749)), c_List_Olistrel(_u15747, _u15750))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15747)), _u15748) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15747)), _u15749)) )).
% 43.40/43.65 cnf(matrix-6753, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15751), tc_List_Olist(_u15751))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15751), tc_List_Olist(_u15751)), _u15752), _u15753)), c_List_Olistrel(_u15751, c_Transitive__Closure_Ortrancl(_u15751, _u15754)))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15751), tc_List_Olist(_u15751))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15751), tc_List_Olist(_u15751)), _u15753), _u15755)), c_List_Olistrel(_u15751, c_Transitive__Closure_Ortrancl(_u15751, _u15754)))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15751), tc_List_Olist(_u15751))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15751), tc_List_Olist(_u15751)), _u15752), _u15755)), c_List_Olistrel(_u15751, c_Transitive__Closure_Ortrancl(_u15751, _u15754)))) )).
% 43.40/43.65 cnf(matrix-6754, plain, ( ( c_List_Olistrel(_u15756, c_Transitive__Closure_Ortrancl(_u15756, _u15757)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15756), c_List_Olistrel1(_u15756, _u15757))) )).
% 43.40/43.65 cnf(matrix-6755, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15758), tc_List_Olist(_u15758))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15758), tc_List_Olist(_u15758)), _u15759), _u15760)), c_List_Olistrel1(_u15758, _u15761))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15758), tc_List_Olist(_u15758))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15758), tc_List_Olist(_u15758)), _u15759), _u15760)), c_List_Olistrel(_u15758, c_Transitive__Closure_Ortrancl(_u15758, _u15761)))) )).
% 43.40/43.65 cnf(matrix-6756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15762, _u15762), tc_HOL_Obool)), _u15763), _u15764)) | ~c_Relation_Orefl__on(_u15762, c_Orderings_Otop__class_Otop(tc_fun(_u15762, tc_HOL_Obool)), _u15764) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15762), tc_List_Olist(_u15762)), tc_HOL_Obool)), c_List_Olistrel1(_u15762, _u15763)), c_List_Olistrel(_u15762, _u15764))) )).
% 43.40/43.65 cnf(matrix-6757, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15765), tc_List_Olist(_u15765))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15765), tc_List_Olist(_u15765)), _u15766), _u15767)), c_List_Olistrel(_u15765, _u15768))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15765), tc_List_Olist(_u15765))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15765), tc_List_Olist(_u15765)), _u15766), _u15767)), c_Transitive__Closure_Ortrancl(tc_List_Olist(_u15765), c_List_Olistrel1(_u15765, _u15768)))) )).
% 43.40/43.65 cnf(matrix-6758, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15769, _u15769)), hAPP(hAPP(c_Product__Type_OPair(_u15769, _u15769), _u15770), _u15771)), _u15772)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15769), tc_List_Olist(_u15769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15769), tc_List_Olist(_u15769)), _u15773), _u15774)), c_List_Olistrel(_u15769, _u15772))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15769), tc_List_Olist(_u15769))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15769), tc_List_Olist(_u15769)), hAPP(hAPP(c_List_Olist_OCons(_u15769), _u15770), _u15773)), hAPP(hAPP(c_List_Olist_OCons(_u15769), _u15771), _u15774))), c_List_Olistrel(_u15769, _u15772))) )).
% 43.40/43.65 cnf(matrix-6759, plain, ( ~c_List_Olistrelp(_u15779, hAPP(hAPP(c_COMBC(_u15779, tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_fun(_u15779, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15779, tc_fun(tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_fun(_u15779, tc_HOL_Obool)), _u15779), c_COMBC(_u15779, tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15779, tc_prod(_u15779, _u15779)), tc_fun(_u15779, tc_fun(tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_HOL_Obool)), _u15779), hAPP(c_COMBB(tc_prod(_u15779, _u15779), tc_fun(tc_fun(tc_prod(_u15779, _u15779), tc_HOL_Obool), tc_HOL_Obool), _u15779), c_member(tc_prod(_u15779, _u15779)))), c_Product__Type_OPair(_u15779, _u15779)))), _u15781), _u15783, _u15785) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15779), tc_List_Olist(_u15779))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15779), tc_List_Olist(_u15779)), _u15783), _u15785)), c_List_Olistrel(_u15779, _u15781))) )).
% 43.40/43.65 cnf(matrix-6760, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15780), tc_List_Olist(_u15780))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15780), tc_List_Olist(_u15780)), _u15784), _u15786)), c_List_Olistrel(_u15780, _u15782))) | c_List_Olistrelp(_u15780, hAPP(hAPP(c_COMBC(_u15780, tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_fun(_u15780, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15780, tc_fun(tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_fun(_u15780, tc_HOL_Obool)), _u15780), c_COMBC(_u15780, tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15780, tc_prod(_u15780, _u15780)), tc_fun(_u15780, tc_fun(tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_HOL_Obool)), _u15780), hAPP(c_COMBB(tc_prod(_u15780, _u15780), tc_fun(tc_fun(tc_prod(_u15780, _u15780), tc_HOL_Obool), tc_HOL_Obool), _u15780), c_member(tc_prod(_u15780, _u15780)))), c_Product__Type_OPair(_u15780, _u15780)))), _u15782), _u15784, _u15786) )).
% 43.40/43.65 cnf(matrix-6761, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15789), tc_List_Olist(_u15789))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15789), tc_List_Olist(_u15789)), hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15790), _u15791)), _u15792)), c_List_Olistrel(_u15789, _u15793))) | ( _u15792 = hAPP(hAPP(c_List_Olist_OCons(_u15789), skolem419(_u15793, _u15792, _u15791, _u15790, _u15789)), skolem420(_u15793, _u15792, _u15791, _u15790, _u15789))) )).
% 43.40/43.65 cnf(matrix-6762, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15789), tc_List_Olist(_u15789))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15789), tc_List_Olist(_u15789)), hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15790), _u15791)), _u15792)), c_List_Olistrel(_u15789, _u15793))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15789, _u15789)), hAPP(hAPP(c_Product__Type_OPair(_u15789, _u15789), _u15790), skolem419(_u15793, _u15792, _u15791, _u15790, _u15789))), _u15793)) )).
% 43.40/43.65 cnf(matrix-6763, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15789), tc_List_Olist(_u15789))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15789), tc_List_Olist(_u15789)), hAPP(hAPP(c_List_Olist_OCons(_u15789), _u15790), _u15791)), _u15792)), c_List_Olistrel(_u15789, _u15793))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15789), tc_List_Olist(_u15789))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15789), tc_List_Olist(_u15789)), _u15791), skolem420(_u15793, _u15792, _u15791, _u15790, _u15789))), c_List_Olistrel(_u15789, _u15793))) )).
% 43.40/43.65 cnf(matrix-6764, plain, ( ~hBOOL(hAPP(hAPP(_u15794, _u15795), _u15796)) | ~c_List_Olistrelp(_u15797, _u15794, _u15798, _u15799) | c_List_Olistrelp(_u15797, _u15794, hAPP(hAPP(c_List_Olist_OCons(_u15797), _u15795), _u15798), hAPP(hAPP(c_List_Olist_OCons(_u15797), _u15796), _u15799)) )).
% 43.40/43.65 cnf(matrix-6765, plain, ( ~c_List_Olistrelp(_u15806, _u15808, hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15810), _u15812), hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15814), _u15816)) | hBOOL(hAPP(hAPP(_u15808, _u15810), _u15814)) )).
% 43.40/43.65 cnf(matrix-6766, plain, ( ~c_List_Olistrelp(_u15806, _u15808, hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15810), _u15812), hAPP(hAPP(c_List_Olist_OCons(_u15806), _u15814), _u15816)) | c_List_Olistrelp(_u15806, _u15808, _u15812, _u15816) )).
% 43.40/43.65 cnf(matrix-6767, plain, ( ~hBOOL(hAPP(hAPP(_u15809, _u15811), _u15815)) | ~c_List_Olistrelp(_u15807, _u15809, _u15813, _u15817) | c_List_Olistrelp(_u15807, _u15809, hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15811), _u15813), hAPP(hAPP(c_List_Olist_OCons(_u15807), _u15815), _u15817)) )).
% 43.40/43.65 cnf(matrix-6768, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15820), tc_List_Olist(_u15820))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15820), tc_List_Olist(_u15820)), _u15821), hAPP(hAPP(c_List_Olist_OCons(_u15820), _u15822), _u15823))), c_List_Olistrel(_u15820, _u15824))) | ( _u15821 = hAPP(hAPP(c_List_Olist_OCons(_u15820), skolem421(_u15824, _u15823, _u15822, _u15821, _u15820)), skolem422(_u15824, _u15823, _u15822, _u15821, _u15820))) )).
% 43.40/43.65 cnf(matrix-6769, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15820), tc_List_Olist(_u15820))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15820), tc_List_Olist(_u15820)), _u15821), hAPP(hAPP(c_List_Olist_OCons(_u15820), _u15822), _u15823))), c_List_Olistrel(_u15820, _u15824))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15820, _u15820)), hAPP(hAPP(c_Product__Type_OPair(_u15820, _u15820), skolem421(_u15824, _u15823, _u15822, _u15821, _u15820)), _u15822)), _u15824)) )).
% 43.40/43.65 cnf(matrix-6770, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15820), tc_List_Olist(_u15820))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15820), tc_List_Olist(_u15820)), _u15821), hAPP(hAPP(c_List_Olist_OCons(_u15820), _u15822), _u15823))), c_List_Olistrel(_u15820, _u15824))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15820), tc_List_Olist(_u15820))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15820), tc_List_Olist(_u15820)), skolem422(_u15824, _u15823, _u15822, _u15821, _u15820)), _u15823)), c_List_Olistrel(_u15820, _u15824))) )).
% 43.40/43.65 cnf(matrix-6771, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u15825, _u15825), tc_HOL_Obool)), _u15826), hAPP(hAPP(c_Product__Type_OSigma(_u15825, _u15825), _u15827), hAPP(c_COMBK(tc_fun(_u15825, tc_HOL_Obool), _u15825), _u15827)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(_u15825), tc_List_Olist(_u15825)), tc_HOL_Obool)), c_List_Olistrel(_u15825, _u15826)), hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(_u15825), tc_List_Olist(_u15825)), c_List_Olists(_u15825, _u15827)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u15825), tc_HOL_Obool), tc_List_Olist(_u15825)), c_List_Olists(_u15825, _u15827))))) )).
% 43.40/43.65 cnf(matrix-6772, plain, ( ( c_List_Olists(_u15828, c_Orderings_Otop__class_Otop(tc_fun(_u15828, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15828), tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-6773, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15829, tc_HOL_Obool)), _u15830), _u15831)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u15829), tc_HOL_Obool)), c_List_Olists(_u15829, _u15830)), c_List_Olists(_u15829, _u15831))) )).
% 43.40/43.65 cnf(matrix-6774, plain, ( ~c_Equiv__Relations_Oequiv(_u15832, _u15833, _u15834) | c_Equiv__Relations_Oequiv(tc_List_Olist(_u15832), c_List_Olists(_u15832, _u15833), c_List_Olistrel(_u15832, _u15834)) )).
% 43.40/43.65 cnf(matrix-6775, plain, ( ~c_Relation_Orefl__on(_u15835, _u15836, _u15837) | c_Relation_Orefl__on(tc_List_Olist(_u15835), c_List_Olists(_u15835, _u15836), c_List_Olistrel(_u15835, _u15837)) )).
% 43.40/43.65 cnf(matrix-6776, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15842)), hAPP(hAPP(c_List_Olist_OCons(_u15842), _u15844), _u15846)), c_List_Olists(_u15842, _u15848))) | hBOOL(hAPP(hAPP(c_member(_u15842), _u15844), _u15848)) )).
% 43.40/43.65 cnf(matrix-6777, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15842)), hAPP(hAPP(c_List_Olist_OCons(_u15842), _u15844), _u15846)), c_List_Olists(_u15842, _u15848))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15842)), _u15846), c_List_Olists(_u15842, _u15848))) )).
% 43.40/43.65 cnf(matrix-6778, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15843), _u15845), _u15849)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15843)), _u15847), c_List_Olists(_u15843, _u15849))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15843)), hAPP(hAPP(c_List_Olist_OCons(_u15843), _u15845), _u15847)), c_List_Olists(_u15843, _u15849))) )).
% 43.40/43.65 cnf(matrix-6779, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15850)), _u15851), c_List_Olists(_u15850, c_Wellfounded_Oacc(_u15850, _u15852)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15850)), _u15851), c_Wellfounded_Oacc(tc_List_Olist(_u15850), c_List_Olistrel1(_u15850, _u15852)))) )).
% 43.40/43.65 cnf(matrix-6780, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15853)), _u15854), c_Wellfounded_Oacc(tc_List_Olist(_u15853), c_List_Olistrel1(_u15853, _u15855)))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u15853)), _u15854), c_List_Olists(_u15853, c_Wellfounded_Oacc(_u15853, _u15855)))) )).
% 43.40/43.65 cnf(matrix-6781, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15862), tc_List_Olist(_u15862))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15862), tc_List_Olist(_u15862)), _u15864), _u15866)), c_List_Olistrel(_u15862, _u15868))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15862)), _u15864) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15862)), _u15866)) )).
% 43.40/43.65 cnf(matrix-6782, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15862), tc_List_Olist(_u15862))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15862), tc_List_Olist(_u15862)), _u15864), _u15866)), c_List_Olistrel(_u15862, _u15868))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15856), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15862)), _u15864))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15862, _u15862)), hAPP(hAPP(c_Product__Type_OPair(_u15862, _u15862), hAPP(hAPP(c_List_Onth(_u15862), _u15864), _u15856)), hAPP(hAPP(c_List_Onth(_u15862), _u15866), _u15856))), _u15868)) )).
% 43.40/43.65 cnf(matrix-6783, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15863), tc_List_Olist(_u15863))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15863), tc_List_Olist(_u15863)), _u15865), _u15867)), c_List_Olistrel(_u15863, _u15869))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15865) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15867)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem423(_u15869, _u15867, _u15865, _u15863)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15865))) )).
% 43.40/43.65 cnf(matrix-6784, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15863), tc_List_Olist(_u15863))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15863), tc_List_Olist(_u15863)), _u15865), _u15867)), c_List_Olistrel(_u15863, _u15869))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15865) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15863)), _u15867)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15863, _u15863)), hAPP(hAPP(c_Product__Type_OPair(_u15863, _u15863), hAPP(hAPP(c_List_Onth(_u15863), _u15865), skolem423(_u15869, _u15867, _u15865, _u15863))), hAPP(hAPP(c_List_Onth(_u15863), _u15867), skolem423(_u15869, _u15867, _u15865, _u15863)))), _u15869)) )).
% 43.40/43.65 cnf(matrix-6785, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15874), _u15875)), c_List_Olexord(_u15872, _u15873))) | ( _u15874 = _u15875) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15875), _u15874)), c_List_Olexord(_u15872, _u15873))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15872, _u15872)), hAPP(hAPP(c_Product__Type_OPair(_u15872, _u15872), skolem424(_u15875, _u15874, _u15873, _u15872)), skolem425(_u15875, _u15874, _u15873, _u15872))), _u15873)) )).
% 43.40/43.65 cnf(matrix-6786, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15874), _u15875)), c_List_Olexord(_u15872, _u15873))) | ( _u15874 = _u15875) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15875), _u15874)), c_List_Olexord(_u15872, _u15873))) | ( skolem424(_u15875, _u15874, _u15873, _u15872) != skolem425(_u15875, _u15874, _u15873, _u15872)) )).
% 43.40/43.65 cnf(matrix-6787, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15874), _u15875)), c_List_Olexord(_u15872, _u15873))) | ( _u15874 = _u15875) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15872), tc_List_Olist(_u15872))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15872), tc_List_Olist(_u15872)), _u15875), _u15874)), c_List_Olexord(_u15872, _u15873))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15872, _u15872)), hAPP(hAPP(c_Product__Type_OPair(_u15872, _u15872), skolem425(_u15875, _u15874, _u15873, _u15872)), skolem424(_u15875, _u15874, _u15873, _u15872))), _u15873)) )).
% 43.40/43.65 cnf(matrix-6788, plain, ( ( hAPP(hAPP(c_List_Onth(_u15876), hAPP(hAPP(c_List_Olist_OCons(_u15876), _u15877), _u15878)), hAPP(c_Nat_OSuc, _u15879)) = hAPP(hAPP(c_List_Onth(_u15876), _u15878), _u15879)) )).
% 43.40/43.65 cnf(matrix-6789, plain, ( ( hAPP(hAPP(c_List_Onth(_u15880), hAPP(hAPP(c_List_Olist_OCons(_u15880), _u15881), _u15882)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = _u15881) )).
% 43.40/43.65 cnf(matrix-6790, plain, ( ( _u15888 != _u15890) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15892)), _u15888) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15892)), _u15890)) )).
% 43.40/43.65 cnf(matrix-6791, plain, ( ( _u15888 != _u15890) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15883), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15892)), _u15888))) | ( hAPP(hAPP(c_List_Onth(_u15892), _u15888), _u15883) = hAPP(hAPP(c_List_Onth(_u15892), _u15890), _u15883)) )).
% 43.40/43.65 cnf(matrix-6792, plain, ( ( _u15889 = _u15891) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15889) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15891)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem426(_u15893, _u15891, _u15889)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15889))) )).
% 43.40/43.65 cnf(matrix-6793, plain, ( ( _u15889 = _u15891) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15889) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15893)), _u15891)) | ( hAPP(hAPP(c_List_Onth(_u15893), _u15889), skolem426(_u15893, _u15891, _u15889)) != hAPP(hAPP(c_List_Onth(_u15893), _u15891), skolem426(_u15893, _u15891, _u15889))) )).
% 43.40/43.65 cnf(matrix-6794, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15894)), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u15894), tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-6795, plain, ( ( hAPP(hAPP(c_List_Onth(_u15895), hAPP(hAPP(c_List_Olist_OCons(_u15895), _u15896), _u15897)), _u15898) = c_Nat_Onat_Onat__case(_u15895, _u15896, hAPP(c_List_Onth(_u15895), _u15897), _u15898)) )).
% 43.40/43.65 cnf(matrix-6796, plain, ( ( _u15903 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15905), hAPP(hAPP(c_List_Olist_OCons(_u15905), _u15907), _u15909)), _u15903) = _u15907) )).
% 43.40/43.65 cnf(matrix-6797, plain, ( ( _u15904 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15906), hAPP(hAPP(c_List_Olist_OCons(_u15906), _u15908), _u15910)), _u15904) = hAPP(hAPP(c_List_Onth(_u15906), _u15910), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u15904), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-6798, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15915) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15917), hAPP(hAPP(c_List_Olist_OCons(_u15917), _u15919), _u15921)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15915)) = _u15919) )).
% 43.40/43.65 cnf(matrix-6799, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15916) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Onth(_u15918), hAPP(hAPP(c_List_Olist_OCons(_u15918), _u15920), _u15922)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15916)) = hAPP(hAPP(c_List_Onth(_u15918), _u15922), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u15916)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-6800, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem427(_u15935, _u15933, _u15931, _u15929)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933)))) )).
% 43.40/43.65 cnf(matrix-6801, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933))) | ( hAPP(hAPP(c_List_Otake(_u15929), skolem427(_u15935, _u15933, _u15931, _u15929)), _u15931) = hAPP(hAPP(c_List_Otake(_u15929), skolem427(_u15935, _u15933, _u15931, _u15929)), _u15933)) )).
% 43.40/43.65 cnf(matrix-6802, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15929, _u15929)), hAPP(hAPP(c_Product__Type_OPair(_u15929, _u15929), hAPP(hAPP(c_List_Onth(_u15929), _u15931), skolem427(_u15935, _u15933, _u15931, _u15929))), hAPP(hAPP(c_List_Onth(_u15929), _u15933), skolem427(_u15935, _u15933, _u15931, _u15929)))), _u15935)) )).
% 43.40/43.65 cnf(matrix-6803, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | ( hAPP(hAPP(c_List_Otake(_u15929), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), _u15933) = _u15931) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem427(_u15935, _u15933, _u15931, _u15929)), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15933)))) )).
% 43.40/43.65 cnf(matrix-6804, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | ( hAPP(hAPP(c_List_Otake(_u15929), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), _u15933) = _u15931) | ( hAPP(hAPP(c_List_Otake(_u15929), skolem427(_u15935, _u15933, _u15931, _u15929)), _u15931) = hAPP(hAPP(c_List_Otake(_u15929), skolem427(_u15935, _u15933, _u15931, _u15929)), _u15933)) )).
% 43.40/43.65 cnf(matrix-6805, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15929), tc_List_Olist(_u15929))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15929), tc_List_Olist(_u15929)), _u15931), _u15933)), c_List_Olexord(_u15929, _u15935))) | ( hAPP(hAPP(c_List_Otake(_u15929), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15929)), _u15931)), _u15933) = _u15931) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u15929, _u15929)), hAPP(hAPP(c_Product__Type_OPair(_u15929, _u15929), hAPP(hAPP(c_List_Onth(_u15929), _u15931), skolem427(_u15935, _u15933, _u15931, _u15929))), hAPP(hAPP(c_List_Onth(_u15929), _u15933), skolem427(_u15935, _u15933, _u15931, _u15929)))), _u15935)) )).
% 43.40/43.65 cnf(matrix-6806, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15930), tc_List_Olist(_u15930))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15930), tc_List_Olist(_u15930)), _u15932), _u15934)), c_List_Olexord(_u15930, _u15936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15932)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15934))) | ( hAPP(hAPP(c_List_Otake(_u15930), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15932)), _u15934) != _u15932) )).
% 43.40/43.65 cnf(matrix-6807, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15930), tc_List_Olist(_u15930))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15930), tc_List_Olist(_u15930)), _u15932), _u15934)), c_List_Olexord(_u15930, _u15936))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15924), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15932)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15930)), _u15934)))) | ( hAPP(hAPP(c_List_Otake(_u15930), _u15924), _u15932) != hAPP(hAPP(c_List_Otake(_u15930), _u15924), _u15934)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u15930, _u15930)), hAPP(hAPP(c_Product__Type_OPair(_u15930, _u15930), hAPP(hAPP(c_List_Onth(_u15930), _u15932), _u15924)), hAPP(hAPP(c_List_Onth(_u15930), _u15934), _u15924))), _u15936)) )).
% 43.40/43.65 cnf(matrix-6808, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u15938, _u15938)), hAPP(hAPP(c_Product__Type_OPair(_u15938, _u15938), skolem428(_u15940, _u15939, _u15938)), skolem428(_u15940, _u15939, _u15938))), _u15939)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u15938), tc_List_Olist(_u15938))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u15938), tc_List_Olist(_u15938)), _u15940), _u15940)), c_List_Olexord(_u15938, _u15939))) )).
% 43.40/43.65 cnf(matrix-6809, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15941)), _u15942)), _u15943)) | ( hAPP(hAPP(c_List_Otake(_u15941), _u15943), _u15942) = _u15942) )).
% 43.40/43.65 cnf(matrix-6810, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u15944), _u15945)) | ( hAPP(hAPP(c_List_Onth(_u15946), hAPP(hAPP(c_List_Otake(_u15946), _u15945), _u15947)), _u15944) = hAPP(hAPP(c_List_Onth(_u15946), _u15947), _u15944)) )).
% 43.40/43.65 cnf(matrix-6811, plain, ( ( c_List_Osublist(_u15948, _u15949, hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u15950)) = hAPP(hAPP(c_List_Otake(_u15948), _u15950), _u15949)) )).
% 43.40/43.65 cnf(matrix-6812, plain, ( ( hAPP(hAPP(c_List_Otake(_u15951), _u15952), hAPP(hAPP(c_List_Otake(_u15951), _u15953), _u15954)) = hAPP(hAPP(c_List_Otake(_u15951), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u15952), _u15953)), _u15954)) )).
% 43.40/43.65 cnf(matrix-6813, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15955)), hAPP(hAPP(c_List_Otake(_u15955), _u15956), _u15957)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u15955)), _u15957)), _u15956)) )).
% 43.40/43.65 cnf(matrix-6814, plain, ( ( hAPP(hAPP(c_List_Otake(_u15958), hAPP(c_Nat_OSuc, _u15959)), hAPP(hAPP(c_List_Olist_OCons(_u15958), _u15960), _u15961)) = hAPP(hAPP(c_List_Olist_OCons(_u15958), _u15960), hAPP(hAPP(c_List_Otake(_u15958), _u15959), _u15961))) )).
% 43.40/43.65 cnf(matrix-6815, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u15962), _u15963)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u15962)), hAPP(c_Set_OCollect(tc_List_Olist(_u15962)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u15962), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u15962)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15962), tc_fun(_u15962, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u15962, tc_HOL_Obool), tc_fun(tc_fun(_u15962, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u15962)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u15962, tc_HOL_Obool))), c_List_Oset(_u15962))), _u15963))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u15962), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u15962)), c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u15962)))), _u15964))))) )).
% 43.40/43.65 cnf(matrix-6816, plain, ( ( hAPP(c_List_Oset(_u15965), c_List_Osublist(_u15965, _u15966, _u15967)) = hAPP(c_Set_OCollect(_u15965), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u15965), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u15965, 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)), _u15965), 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)), _u15965), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u15965, tc_fun(tc_Nat_Onat, _u15965), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u15965, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u15965), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u15965), c_COMBB(_u15965, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u15965), _u15966))))), 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(_u15965)), _u15966)))), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool), c_member(tc_Nat_Onat)), _u15967)))))) )).
% 43.40/43.65 cnf(matrix-6817, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u15968), hAPP(c_List_Oset(_u15968), _u15969))) )).
% 43.40/43.65 cnf(matrix-6818, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15970, tc_HOL_Obool)), hAPP(c_List_Oset(_u15970), hAPP(hAPP(c_List_Otake(_u15970), _u15971), _u15972))), hAPP(c_List_Oset(_u15970), _u15972))) )).
% 43.40/43.65 cnf(matrix-6819, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15973), _u15974), hAPP(c_List_Oset(_u15973), hAPP(hAPP(c_List_Otake(_u15973), _u15975), _u15976)))) | hBOOL(hAPP(hAPP(c_member(_u15973), _u15974), hAPP(c_List_Oset(_u15973), _u15976))) )).
% 43.40/43.65 cnf(matrix-6820, plain, ( ( hAPP(c_List_Oset(_u15977), hAPP(hAPP(c_List_Olist_OCons(_u15977), _u15978), _u15979)) = hAPP(hAPP(c_Set_Oinsert(_u15977), _u15978), hAPP(c_List_Oset(_u15977), _u15979))) )).
% 43.40/43.65 cnf(matrix-6821, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15980), _u15981), hAPP(c_List_Oset(_u15980), hAPP(hAPP(c_List_Olist_OCons(_u15980), _u15982), _u15983)))) | ( _u15981 = _u15982) | hBOOL(hAPP(hAPP(c_member(_u15980), _u15981), hAPP(c_List_Oset(_u15980), _u15983))) )).
% 43.40/43.65 cnf(matrix-6822, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u15984), _u15985), hAPP(c_List_Oset(_u15984), c_List_Osublist(_u15984, _u15986, _u15987)))) | hBOOL(hAPP(hAPP(c_member(_u15984), _u15985), hAPP(c_List_Oset(_u15984), _u15986))) )).
% 43.40/43.65 cnf(matrix-6823, plain, ( hBOOL(hAPP(hAPP(c_member(_u15988), _u15989), hAPP(c_List_Oset(_u15988), _u15990))) | ~hBOOL(hAPP(hAPP(c_member(_u15988), _u15989), hAPP(c_List_Oset(_u15988), c_List_Osublist(_u15988, _u15990, _u15991)))) )).
% 43.40/43.65 cnf(matrix-6824, plain, ( ( hAPP(c_Set_Oimage(tc_List_Olist(_u15992), tc_fun(_u15992, tc_HOL_Obool), c_List_Oset(_u15992)), hAPP(c_List_Oset(tc_List_Olist(_u15992)), c_Enum_Osublists(_u15992, _u15993))) = hAPP(c_Set_OPow(_u15992), hAPP(c_List_Oset(_u15992), _u15993))) )).
% 43.40/43.65 cnf(matrix-6825, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15994, tc_HOL_Obool)), hAPP(c_List_Oset(_u15994), _u15995)), hAPP(c_List_Oset(_u15994), hAPP(hAPP(c_List_Olist_OCons(_u15994), _u15996), _u15995)))) )).
% 43.40/43.65 cnf(matrix-6826, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u15997, tc_HOL_Obool)), hAPP(c_List_Oset(_u15997), c_List_Osublist(_u15997, _u15998, _u15999))), hAPP(c_List_Oset(_u15997), _u15998))) )).
% 43.40/43.65 cnf(matrix-6827, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Finite__Set_Ocard(_u16000), hAPP(c_List_Oset(_u16000), _u16001))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16000)), _u16001))) )).
% 43.40/43.65 cnf(matrix-6828, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16003), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16009)), _u16011))) | hBOOL(hAPP(_u16013, hAPP(hAPP(c_List_Onth(_u16009), _u16011), _u16003))) | hBOOL(hAPP(hAPP(c_member(_u16009), skolem429(_u16013, _u16011, _u16009)), hAPP(c_List_Oset(_u16009), _u16011))) )).
% 43.40/43.65 cnf(matrix-6829, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16003), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16009)), _u16011))) | hBOOL(hAPP(_u16013, hAPP(hAPP(c_List_Onth(_u16009), _u16011), _u16003))) | ~hBOOL(hAPP(_u16013, skolem429(_u16013, _u16011, _u16009))) )).
% 43.40/43.65 cnf(matrix-6830, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16010), _u16005), hAPP(c_List_Oset(_u16010), _u16012))) | hBOOL(hAPP(_u16014, _u16005)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem430(_u16014, _u16012, _u16010)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16010)), _u16012))) )).
% 43.40/43.65 cnf(matrix-6831, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16010), _u16005), hAPP(c_List_Oset(_u16010), _u16012))) | hBOOL(hAPP(_u16014, _u16005)) | ~hBOOL(hAPP(_u16014, hAPP(hAPP(c_List_Onth(_u16010), _u16012), skolem430(_u16014, _u16012, _u16010)))) )).
% 43.40/43.65 cnf(matrix-6832, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16015), _u16016)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16017, tc_HOL_Obool)), hAPP(c_List_Oset(_u16017), hAPP(hAPP(c_List_Otake(_u16017), _u16015), _u16018))), hAPP(c_List_Oset(_u16017), hAPP(hAPP(c_List_Otake(_u16017), _u16016), _u16018)))) )).
% 43.40/43.65 cnf(matrix-6833, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16019), _u16020), hAPP(c_List_Oset(_u16019), _u16021))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16022), hAPP(_u16023, _u16020))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16022), c_List_Olist_Olist__size(_u16019, _u16023, _u16021))) )).
% 43.40/43.65 cnf(matrix-6834, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16024), _u16025), hAPP(c_List_Oset(_u16024), _u16026))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16027), hAPP(_u16028, _u16025))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16027), c_List_Olist_Olist__size(_u16024, _u16028, _u16026))) )).
% 43.40/43.65 cnf(matrix-6835, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16034)), _u16036), c_List_Olists(_u16034, _u16038))) | ~hBOOL(hAPP(hAPP(c_member(_u16034), _u16029), hAPP(c_List_Oset(_u16034), _u16036))) | hBOOL(hAPP(hAPP(c_member(_u16034), _u16029), _u16038)) )).
% 43.40/43.65 cnf(matrix-6836, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16035)), _u16037), c_List_Olists(_u16035, _u16039))) | hBOOL(hAPP(hAPP(c_member(_u16035), skolem431(_u16039, _u16037, _u16035)), hAPP(c_List_Oset(_u16035), _u16037))) )).
% 43.40/43.65 cnf(matrix-6837, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16035)), _u16037), c_List_Olists(_u16035, _u16039))) | ~hBOOL(hAPP(hAPP(c_member(_u16035), skolem431(_u16039, _u16037, _u16035)), _u16039)) )).
% 43.40/43.65 cnf(matrix-6838, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16040), _u16041), hAPP(c_List_Oset(_u16040), _u16042))) | 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(_u16040)), _u16042))) )).
% 43.40/43.65 cnf(matrix-6839, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16043), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16044)), _u16045))) | hBOOL(hAPP(hAPP(c_member(_u16044), hAPP(hAPP(c_List_Onth(_u16044), _u16045), _u16043)), hAPP(c_List_Oset(_u16044), _u16045))) )).
% 43.40/43.65 cnf(matrix-6840, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16051), _u16053), hAPP(c_List_Oset(_u16051), _u16055))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem432(_u16055, _u16053, _u16051)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16051)), _u16055))) )).
% 43.40/43.65 cnf(matrix-6841, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16051), _u16053), hAPP(c_List_Oset(_u16051), _u16055))) | ( hAPP(hAPP(c_List_Onth(_u16051), _u16055), skolem432(_u16055, _u16053, _u16051)) = _u16053) )).
% 43.40/43.65 cnf(matrix-6842, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16047), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16052)), _u16056))) | ( hAPP(hAPP(c_List_Onth(_u16052), _u16056), _u16047) != _u16054) | hBOOL(hAPP(hAPP(c_member(_u16052), _u16054), hAPP(c_List_Oset(_u16052), _u16056))) )).
% 43.40/43.65 cnf(matrix-6843, plain, ( ( c_List_Olists(_u16057, _u16058) = hAPP(c_Set_OCollect(tc_List_Olist(_u16057)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16057), tc_fun(_u16057, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16057, tc_HOL_Obool), tc_fun(tc_fun(_u16057, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16057)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16057, tc_HOL_Obool))), c_List_Oset(_u16057))), _u16058))) )).
% 43.40/43.65 cnf(matrix-6844, plain, ( ( hAPP(c_List_Oset(_u16059), _u16060) = hAPP(c_Set_OCollect(_u16059), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, _u16059), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(_u16059, 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)), _u16059), 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)), _u16059), hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_Nat_Onat), c_fconj)), hAPP(hAPP(c_COMBC(_u16059, tc_fun(tc_Nat_Onat, _u16059), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16059, tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, _u16059), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), _u16059), c_COMBB(_u16059, tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(c_List_Onth(_u16059), _u16060))))), 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(_u16059)), _u16060)))))) )).
% 43.40/43.65 cnf(matrix-6845, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16061), _u16062)) | hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u16061)), hAPP(c_Set_OCollect(tc_List_Olist(_u16061)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16061), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16061)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16061), tc_fun(_u16061, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16061, tc_HOL_Obool), tc_fun(tc_fun(_u16061, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16061)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16061, tc_HOL_Obool))), c_List_Oset(_u16061))), _u16062))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16061), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16061)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16061)))), _u16063))))) )).
% 43.40/43.65 cnf(matrix-6846, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16070), tc_List_Olist(_u16070))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16070), tc_List_Olist(_u16070)), _u16072), _u16074)), c_List_Olistrel(_u16070, _u16076))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16070)), _u16072) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16070)), _u16074)) )).
% 43.40/43.65 cnf(matrix-6847, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16070), tc_List_Olist(_u16070))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16070), tc_List_Olist(_u16070)), _u16072), _u16074)), c_List_Olistrel(_u16070, _u16076))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16070, _u16070)), _u16064), hAPP(c_List_Oset(tc_prod(_u16070, _u16070)), hAPP(hAPP(c_List_Ozip(_u16070, _u16070), _u16072), _u16074)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16070, _u16070, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16070, tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_fun(_u16070, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16070, tc_fun(tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_fun(_u16070, tc_HOL_Obool)), _u16070), c_COMBC(_u16070, tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16070, tc_prod(_u16070, _u16070)), tc_fun(_u16070, tc_fun(tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_HOL_Obool)), _u16070), hAPP(c_COMBB(tc_prod(_u16070, _u16070), tc_fun(tc_fun(tc_prod(_u16070, _u16070), tc_HOL_Obool), tc_HOL_Obool), _u16070), c_member(tc_prod(_u16070, _u16070)))), c_Product__Type_OPair(_u16070, _u16070)))), _u16076)), _u16064)) )).
% 43.40/43.65 cnf(matrix-6848, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16071), tc_List_Olist(_u16071))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16071), tc_List_Olist(_u16071)), _u16073), _u16075)), c_List_Olistrel(_u16071, _u16077))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16071)), _u16073) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16071)), _u16075)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16071, _u16071)), skolem433(_u16077, _u16075, _u16073, _u16071)), hAPP(c_List_Oset(tc_prod(_u16071, _u16071)), hAPP(hAPP(c_List_Ozip(_u16071, _u16071), _u16073), _u16075)))) )).
% 43.40/43.65 cnf(matrix-6849, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16071), tc_List_Olist(_u16071))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16071), tc_List_Olist(_u16071)), _u16073), _u16075)), c_List_Olistrel(_u16071, _u16077))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16071)), _u16073) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16071)), _u16075)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16071, _u16071, tc_HOL_Obool), hAPP(hAPP(c_COMBC(_u16071, tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_fun(_u16071, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16071, tc_fun(tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_fun(_u16071, tc_HOL_Obool)), _u16071), c_COMBC(_u16071, tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u16071, tc_prod(_u16071, _u16071)), tc_fun(_u16071, tc_fun(tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_HOL_Obool)), _u16071), hAPP(c_COMBB(tc_prod(_u16071, _u16071), tc_fun(tc_fun(tc_prod(_u16071, _u16071), tc_HOL_Obool), tc_HOL_Obool), _u16071), c_member(tc_prod(_u16071, _u16071)))), c_Product__Type_OPair(_u16071, _u16071)))), _u16077)), skolem433(_u16077, _u16075, _u16073, _u16071))) )).
% 43.40/43.65 cnf(matrix-6850, plain, ( ( hAPP(c_List_Oset(tc_List_Olist(_u16078)), c_Enum_On__lists(_u16078, _u16079, _u16080)) = hAPP(c_Set_OCollect(tc_List_Olist(_u16078)), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16078), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16078)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16078), tc_Nat_Onat, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u16078)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u16078)))), _u16079))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16078), tc_fun(_u16078, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16078, tc_HOL_Obool), tc_fun(tc_fun(_u16078, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16078)), c_Orderings_Oord__class_Oless__eq(tc_fun(_u16078, tc_HOL_Obool))), c_List_Oset(_u16078))), hAPP(c_List_Oset(_u16078), _u16080))))) )).
% 43.40/43.65 cnf(matrix-6851, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(_u16081, _u16082))), hAPP(hAPP(c_List_Ozip(_u16081, _u16082), _u16083), _u16084)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16081)), _u16083)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16082)), _u16084))) )).
% 43.40/43.65 cnf(matrix-6852, plain, ( ( hAPP(hAPP(c_List_Otake(tc_prod(_u16085, _u16086)), _u16087), hAPP(hAPP(c_List_Ozip(_u16085, _u16086), _u16088), _u16089)) = hAPP(hAPP(c_List_Ozip(_u16085, _u16086), hAPP(hAPP(c_List_Otake(_u16085), _u16087), _u16088)), hAPP(hAPP(c_List_Otake(_u16086), _u16087), _u16089))) )).
% 43.40/43.65 cnf(matrix-6853, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16090, _u16091), hAPP(hAPP(c_List_Olist_OCons(_u16090), _u16092), _u16093)), hAPP(hAPP(c_List_Olist_OCons(_u16091), _u16094), _u16095)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(_u16090, _u16091)), hAPP(hAPP(c_Product__Type_OPair(_u16090, _u16091), _u16092), _u16094)), hAPP(hAPP(c_List_Ozip(_u16090, _u16091), _u16093), _u16095))) )).
% 43.40/43.65 cnf(matrix-6854, plain, ( ( _u16101 != _u16103) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16105)), _u16101) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16105)), _u16103)) )).
% 43.40/43.65 cnf(matrix-6855, plain, ( ( _u16101 != _u16103) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16105, _u16105)), _u16096), hAPP(c_List_Oset(tc_prod(_u16105, _u16105)), hAPP(hAPP(c_List_Ozip(_u16105, _u16105), _u16101), _u16103)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16105, _u16105, tc_HOL_Obool), c_fequal), _u16096)) )).
% 43.40/43.65 cnf(matrix-6856, plain, ( ( _u16102 = _u16104) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16106)), _u16102) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16106)), _u16104)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16106, _u16106)), skolem434(_u16106, _u16104, _u16102)), hAPP(c_List_Oset(tc_prod(_u16106, _u16106)), hAPP(hAPP(c_List_Ozip(_u16106, _u16106), _u16102), _u16104)))) )).
% 43.40/43.65 cnf(matrix-6857, plain, ( ( _u16102 = _u16104) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16106)), _u16102) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16106)), _u16104)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u16106, _u16106, tc_HOL_Obool), c_fequal), skolem434(_u16106, _u16104, _u16102))) )).
% 43.40/43.65 cnf(matrix-6858, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16108), _u16109), _u16110)), hAPP(c_List_Oset(tc_prod(_u16107, _u16108)), hAPP(hAPP(c_List_Ozip(_u16107, _u16108), _u16111), _u16112)))) | hBOOL(hAPP(hAPP(c_member(_u16107), _u16109), hAPP(c_List_Oset(_u16107), _u16111))) )).
% 43.40/43.65 cnf(matrix-6859, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16107, _u16108)), hAPP(hAPP(c_Product__Type_OPair(_u16107, _u16108), _u16109), _u16110)), hAPP(c_List_Oset(tc_prod(_u16107, _u16108)), hAPP(hAPP(c_List_Ozip(_u16107, _u16108), _u16111), _u16112)))) | hBOOL(hAPP(hAPP(c_member(_u16108), _u16110), hAPP(c_List_Oset(_u16108), _u16112))) )).
% 43.40/43.65 cnf(matrix-6860, plain, ( hBOOL(hAPP(hAPP(c_member(_u16114), _u16116), hAPP(c_List_Oset(_u16114), _u16118))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16113, _u16114)), hAPP(hAPP(c_Product__Type_OPair(_u16113, _u16114), _u16115), _u16116)), hAPP(c_List_Oset(tc_prod(_u16113, _u16114)), hAPP(hAPP(c_List_Ozip(_u16113, _u16114), _u16117), _u16118)))) )).
% 43.40/43.65 cnf(matrix-6861, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16119, _u16120)), hAPP(hAPP(c_Product__Type_OPair(_u16119, _u16120), _u16121), _u16122)), hAPP(c_List_Oset(tc_prod(_u16119, _u16120)), hAPP(hAPP(c_List_Ozip(_u16119, _u16120), _u16123), _u16124)))) | hBOOL(hAPP(hAPP(c_member(_u16119), _u16121), hAPP(c_List_Oset(_u16119), _u16123))) )).
% 43.40/43.65 cnf(matrix-6862, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16129, _u16129)), hAPP(hAPP(c_Product__Type_OPair(_u16129, _u16129), _u16131), _u16133)), hAPP(c_List_Oset(tc_prod(_u16129, _u16129)), hAPP(hAPP(c_List_Ozip(_u16129, _u16129), _u16135), _u16135)))) | hBOOL(hAPP(hAPP(c_member(_u16129), _u16131), hAPP(c_List_Oset(_u16129), _u16135))) )).
% 43.40/43.65 cnf(matrix-6863, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16129, _u16129)), hAPP(hAPP(c_Product__Type_OPair(_u16129, _u16129), _u16131), _u16133)), hAPP(c_List_Oset(tc_prod(_u16129, _u16129)), hAPP(hAPP(c_List_Ozip(_u16129, _u16129), _u16135), _u16135)))) | ( _u16131 = _u16133) )).
% 43.40/43.65 cnf(matrix-6864, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16130), _u16132), hAPP(c_List_Oset(_u16130), _u16136))) | ( _u16132 != _u16134) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16130, _u16130)), hAPP(hAPP(c_Product__Type_OPair(_u16130, _u16130), _u16132), _u16134)), hAPP(c_List_Oset(tc_prod(_u16130, _u16130)), hAPP(hAPP(c_List_Ozip(_u16130, _u16130), _u16136), _u16136)))) )).
% 43.40/43.65 cnf(matrix-6865, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16137), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16138)), _u16139))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16137), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16140)), _u16141))) | ( hAPP(hAPP(c_List_Onth(tc_prod(_u16138, _u16140)), hAPP(hAPP(c_List_Ozip(_u16138, _u16140), _u16139), _u16141)), _u16137) = hAPP(hAPP(c_Product__Type_OPair(_u16138, _u16140), hAPP(hAPP(c_List_Onth(_u16138), _u16139), _u16137)), hAPP(hAPP(c_List_Onth(_u16140), _u16141), _u16137))) )).
% 43.40/43.65 cnf(matrix-6866, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16142)), _u16143), hAPP(c_List_Oset(tc_List_Olist(_u16142)), c_Enum_On__lists(_u16142, _u16144, _u16145)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16142)), _u16143) = _u16144) )).
% 43.40/43.65 cnf(matrix-6867, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u16146))), c_Enum_On__lists(_u16146, _u16147, _u16148)) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16146)), _u16148)), _u16147)) )).
% 43.40/43.65 cnf(matrix-6868, plain, ( ( hAPP(c_List_Oset(tc_prod(_u16149, _u16150)), hAPP(hAPP(c_List_Ozip(_u16149, _u16150), _u16151), _u16152)) = hAPP(c_Set_OCollect(tc_prod(_u16149, _u16150)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_HOL_Obool, tc_prod(_u16149, _u16150)), c_HOL_OEx(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u16149, _u16150), 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(_u16149, _u16150)), 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(_u16149, _u16150)), 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(_u16149, _u16150), tc_fun(tc_Nat_Onat, tc_prod(_u16149, _u16150)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(_u16149, _u16150), tc_HOL_Obool), tc_fun(tc_fun(tc_Nat_Onat, tc_prod(_u16149, _u16150)), tc_fun(tc_Nat_Onat, tc_HOL_Obool)), tc_prod(_u16149, _u16150)), c_COMBB(tc_prod(_u16149, _u16150), tc_HOL_Obool, tc_Nat_Onat)), c_fequal)), hAPP(hAPP(c_COMBS(tc_Nat_Onat, _u16150, tc_prod(_u16149, _u16150)), hAPP(hAPP(c_COMBB(_u16149, tc_fun(_u16150, tc_prod(_u16149, _u16150)), tc_Nat_Onat), c_Product__Type_OPair(_u16149, _u16150)), hAPP(c_List_Onth(_u16149), _u16151))), hAPP(c_List_Onth(_u16150), _u16152)))))), 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(_u16149)), _u16151)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16150)), _u16152))))))) )).
% 43.40/43.65 cnf(matrix-6869, plain, ( ( hAPP(c_List_Oset(tc_prod(_u16153, _u16154)), c_Enum_Oproduct(_u16153, _u16154, _u16155, _u16156)) = hAPP(hAPP(c_Product__Type_OSigma(_u16153, _u16154), hAPP(c_List_Oset(_u16153), _u16155)), hAPP(c_COMBK(tc_fun(_u16154, tc_HOL_Obool), _u16153), hAPP(c_List_Oset(_u16154), _u16156)))) )).
% 43.40/43.65 cnf(matrix-6870, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint, _u16157, _u16158) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16157), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u16158), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.40/43.65 cnf(matrix-6871, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u16159, _u16160) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16159, _u16160))) )).
% 43.40/43.65 cnf(matrix-6872, plain, ( ( hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16161, _u16162)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u16161, _u16162)) )).
% 43.40/43.65 cnf(matrix-6873, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint, _u16163), _u16164) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u16163, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u16164), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.40/43.65 cnf(matrix-6874, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint, _u16165, _u16166) = hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16165), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16166))) )).
% 43.40/43.65 cnf(matrix-6875, plain, ( ~c_List_Onat__list(_u16168) | c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u16168)) )).
% 43.40/43.65 cnf(matrix-6876, plain, ( ~c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint), _u16169)) | c_List_Onat__list(_u16169) )).
% 43.40/43.65 cnf(matrix-6877, plain, ( ~class_Groups_Ocomm__monoid__add(_u16170) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16170), _u16171) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u16170), hAPP(c_List_Onth(_u16170), _u16171)), 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(_u16170)), _u16171)))) )).
% 43.40/43.65 cnf(matrix-6878, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16175) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u16172), hAPP(c_List_Oset(tc_Nat_Onat), _u16175))) | ( _u16172 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-6879, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16176) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem435(_u16176)), hAPP(c_List_Oset(tc_Nat_Onat), _u16176))) )).
% 43.40/43.65 cnf(matrix-6880, plain, ( ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16176) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem435(_u16176) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-6881, plain, ( ~class_Groups_Omonoid__add(_u16177) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16177), hAPP(hAPP(c_List_Olist_OCons(_u16177), _u16178), _u16179)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16177), _u16178), hAPP(c_List_Omonoid__add__class_Olistsum(_u16177), _u16179))) )).
% 43.40/43.65 cnf(matrix-6882, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16180), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u16181))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u16181), _u16180)), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), _u16181))) )).
% 43.40/43.65 cnf(matrix-6883, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u16183, _u16185, _u16184)), c_List_Olist_Olist__size(_u16183, _u16186, _u16184))) | hBOOL(hAPP(hAPP(c_member(_u16183), skolem436(_u16186, _u16185, _u16184, _u16183)), hAPP(c_List_Oset(_u16183), _u16184))) )).
% 43.40/43.65 cnf(matrix-6884, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), c_List_Olist_Olist__size(_u16183, _u16185, _u16184)), c_List_Olist_Olist__size(_u16183, _u16186, _u16184))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u16185, skolem436(_u16186, _u16185, _u16184, _u16183))), hAPP(_u16186, skolem436(_u16186, _u16185, _u16184, _u16183)))) )).
% 43.40/43.65 cnf(matrix-6885, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16187), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16188)), _u16189))) | ( c_List_Obutlast(_u16188, hAPP(hAPP(c_List_Otake(_u16188), _u16187), _u16189)) = hAPP(hAPP(c_List_Otake(_u16188), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16187), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16189)) )).
% 43.40/43.65 cnf(matrix-6886, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16190), _u16191), hAPP(c_List_Oset(_u16190), c_List_Obutlast(_u16190, _u16192)))) | hBOOL(hAPP(hAPP(c_member(_u16190), _u16191), hAPP(c_List_Oset(_u16190), _u16192))) )).
% 43.40/43.65 cnf(matrix-6887, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16194)), _u16195))) | ( hAPP(hAPP(c_List_Otake(_u16194), _u16193), c_List_Obutlast(_u16194, _u16195)) = hAPP(hAPP(c_List_Otake(_u16194), _u16193), _u16195)) )).
% 43.40/43.65 cnf(matrix-6888, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16196)), c_List_Obutlast(_u16196, _u16197)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16196)), _u16197)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.40/43.65 cnf(matrix-6889, plain, ( ( c_List_Obutlast(_u16198, _u16199) = hAPP(hAPP(c_List_Otake(_u16198), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16198)), _u16199)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16199)) )).
% 43.40/43.65 cnf(matrix-6890, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16200), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), _u16201))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat, _u16201), _u16200), _u16202)) = 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), _u16201)), _u16202)), hAPP(hAPP(c_List_Onth(tc_Nat_Onat), _u16201), _u16200))) )).
% 43.40/43.65 cnf(matrix-6891, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16204), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16205)), _u16206))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16204), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16205)), _u16207))) | ( hAPP(hAPP(c_List_Otake(_u16205), _u16204), _u16206) = hAPP(hAPP(c_List_Otake(_u16205), _u16204), _u16207)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem437(_u16207, _u16206, _u16205, _u16204)), _u16204)) )).
% 43.40/43.65 cnf(matrix-6892, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16204), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16205)), _u16206))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u16204), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16205)), _u16207))) | ( hAPP(hAPP(c_List_Otake(_u16205), _u16204), _u16206) = hAPP(hAPP(c_List_Otake(_u16205), _u16204), _u16207)) | ( hAPP(hAPP(c_List_Onth(_u16205), _u16206), skolem437(_u16207, _u16206, _u16205, _u16204)) != hAPP(hAPP(c_List_Onth(_u16205), _u16207), skolem437(_u16207, _u16206, _u16205, _u16204))) )).
% 43.40/43.65 cnf(matrix-6893, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16208)), _u16209)), _u16210)) | ( hAPP(hAPP(c_List_Olist__update(_u16208, _u16209), _u16210), _u16211) = _u16209) )).
% 43.40/43.65 cnf(matrix-6894, plain, ( ( _u16212 = _u16213) | ( hAPP(hAPP(c_List_Onth(_u16214), hAPP(hAPP(c_List_Olist__update(_u16214, _u16215), _u16212), _u16216)), _u16213) = hAPP(hAPP(c_List_Onth(_u16214), _u16215), _u16213)) )).
% 43.40/43.65 cnf(matrix-6895, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16217, _u16218), _u16219), hAPP(hAPP(c_List_Onth(_u16217), _u16218), _u16219)) = _u16218) )).
% 43.40/43.65 cnf(matrix-6896, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16220)), hAPP(hAPP(c_List_Olist__update(_u16220, _u16221), _u16222), _u16223)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16220)), _u16221)) )).
% 43.40/43.65 cnf(matrix-6897, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16224, hAPP(hAPP(c_List_Olist_OCons(_u16224), _u16225), _u16226)), hAPP(c_Nat_OSuc, _u16227)), _u16228) = hAPP(hAPP(c_List_Olist_OCons(_u16224), _u16225), hAPP(hAPP(c_List_Olist__update(_u16224, _u16226), _u16227), _u16228))) )).
% 43.40/43.65 cnf(matrix-6898, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16229, hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16230), _u16231)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16232) = hAPP(hAPP(c_List_Olist_OCons(_u16229), _u16232), _u16231)) )).
% 43.40/43.65 cnf(matrix-6899, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16233, hAPP(hAPP(c_List_Olist_OCons(_u16233), _u16234), _u16235)), _u16236), _u16237) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16233), hAPP(hAPP(c_List_Olist_OCons(_u16233), _u16237), _u16235), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16233), tc_List_Olist(_u16233), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16233), _u16234)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, _u16233, tc_List_Olist(_u16233)), c_List_Olist__update(_u16233, _u16235)), _u16237)), _u16236)) )).
% 43.40/43.65 cnf(matrix-6900, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16238, hAPP(hAPP(c_List_Olist__update(_u16238, _u16239), _u16240), _u16241)), _u16240), _u16242) = hAPP(hAPP(c_List_Olist__update(_u16238, _u16239), _u16240), _u16242)) )).
% 43.40/43.65 cnf(matrix-6901, plain, ( ( _u16243 = _u16244) | ( hAPP(hAPP(c_List_Olist__update(_u16245, hAPP(hAPP(c_List_Olist__update(_u16245, _u16246), _u16243), _u16247)), _u16244), _u16248) = hAPP(hAPP(c_List_Olist__update(_u16245, hAPP(hAPP(c_List_Olist__update(_u16245, _u16246), _u16244), _u16248)), _u16243), _u16247)) )).
% 43.40/43.65 cnf(matrix-6902, plain, ( ( hAPP(hAPP(c_List_Olist__update(tc_prod(_u16249, _u16250), hAPP(hAPP(c_List_Ozip(_u16249, _u16250), _u16251), _u16252)), _u16253), _u16254) = hAPP(hAPP(c_List_Ozip(_u16249, _u16250), hAPP(hAPP(c_List_Olist__update(_u16249, _u16251), _u16253), hAPP(c_Product__Type_Ofst(_u16249, _u16250), _u16254))), hAPP(hAPP(c_List_Olist__update(_u16250, _u16252), _u16253), hAPP(c_Product__Type_Osnd(_u16249, _u16250), _u16254)))) )).
% 43.40/43.65 cnf(matrix-6903, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16255, _u16256), hAPP(hAPP(c_List_Olist__update(_u16255, _u16257), _u16258), _u16259)), hAPP(hAPP(c_List_Olist__update(_u16256, _u16260), _u16258), _u16261)) = hAPP(hAPP(c_List_Olist__update(tc_prod(_u16255, _u16256), hAPP(hAPP(c_List_Ozip(_u16255, _u16256), _u16257), _u16260)), _u16258), hAPP(hAPP(c_Product__Type_OPair(_u16255, _u16256), _u16259), _u16261))) )).
% 43.40/43.65 cnf(matrix-6904, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16262, tc_HOL_Obool)), hAPP(c_List_Oset(_u16262), _u16263)), _u16264)) | ~hBOOL(hAPP(hAPP(c_member(_u16262), _u16265), _u16264)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16262, tc_HOL_Obool)), hAPP(c_List_Oset(_u16262), hAPP(hAPP(c_List_Olist__update(_u16262, _u16263), _u16266), _u16265))), _u16264)) )).
% 43.40/43.65 cnf(matrix-6905, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16267, tc_HOL_Obool)), hAPP(c_List_Oset(_u16267), hAPP(hAPP(c_List_Olist__update(_u16267, _u16268), _u16269), _u16270))), hAPP(hAPP(c_Set_Oinsert(_u16267), _u16270), hAPP(c_List_Oset(_u16267), _u16268)))) )).
% 43.40/43.65 cnf(matrix-6906, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16271), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16272)), _u16273))) | ( _u16271 != _u16274) | ( hAPP(hAPP(c_List_Onth(_u16272), hAPP(hAPP(c_List_Olist__update(_u16272, _u16273), _u16271), _u16275)), _u16274) = _u16275) )).
% 43.40/43.65 cnf(matrix-6907, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16271), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16272)), _u16273))) | ( _u16271 = _u16274) | ( hAPP(hAPP(c_List_Onth(_u16272), hAPP(hAPP(c_List_Olist__update(_u16272, _u16273), _u16271), _u16275)), _u16274) = hAPP(hAPP(c_List_Onth(_u16272), _u16273), _u16274)) )).
% 43.40/43.65 cnf(matrix-6908, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16276), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16277)), _u16278))) | ( hAPP(hAPP(c_List_Olist__update(_u16277, _u16278), _u16276), _u16279) != _u16278) | ( hAPP(hAPP(c_List_Onth(_u16277), _u16278), _u16276) = _u16279) )).
% 43.40/43.65 cnf(matrix-6909, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16276), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16277)), _u16278))) | ( hAPP(hAPP(c_List_Onth(_u16277), _u16278), _u16276) != _u16279) | ( hAPP(hAPP(c_List_Olist__update(_u16277, _u16278), _u16276), _u16279) = _u16278) )).
% 43.40/43.65 cnf(matrix-6910, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16280), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16281)), _u16282))) | ( hAPP(hAPP(c_List_Onth(_u16281), hAPP(hAPP(c_List_Olist__update(_u16281, _u16282), _u16280), _u16283)), _u16280) = _u16283) )).
% 43.40/43.65 cnf(matrix-6911, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16284), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16285)), _u16286))) | hBOOL(hAPP(hAPP(c_member(_u16285), _u16287), hAPP(c_List_Oset(_u16285), hAPP(hAPP(c_List_Olist__update(_u16285, _u16286), _u16284), _u16287)))) )).
% 43.40/43.65 cnf(matrix-6912, plain, ( ( _u16292 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16294)), _u16296)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u16294, hAPP(hAPP(c_List_Olist__update(_u16294, _u16296), _u16292), _u16298)) = c_List_Obutlast(_u16294, _u16296)) )).
% 43.40/43.65 cnf(matrix-6913, plain, ( ( _u16293 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16295)), _u16297)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Obutlast(_u16295, hAPP(hAPP(c_List_Olist__update(_u16295, _u16297), _u16293), _u16299)) = hAPP(hAPP(c_List_Olist__update(_u16295, c_List_Obutlast(_u16295, _u16297)), _u16293), _u16299)) )).
% 43.40/43.65 cnf(matrix-6914, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16308), tc_List_Olist(_u16308))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16308), tc_List_Olist(_u16308)), _u16310), _u16312)), c_List_Olistrel1(_u16308, _u16314))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16308, _u16308)), hAPP(hAPP(c_Product__Type_OPair(_u16308, _u16308), hAPP(hAPP(c_List_Onth(_u16308), _u16310), skolem439(_u16314, _u16312, _u16310, _u16308))), skolem438(_u16314, _u16312, _u16310, _u16308))), _u16314)) )).
% 43.40/43.65 cnf(matrix-6915, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16308), tc_List_Olist(_u16308))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16308), tc_List_Olist(_u16308)), _u16310), _u16312)), c_List_Olistrel1(_u16308, _u16314))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem439(_u16314, _u16312, _u16310, _u16308)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16308)), _u16310))) )).
% 43.40/43.65 cnf(matrix-6916, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16308), tc_List_Olist(_u16308))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16308), tc_List_Olist(_u16308)), _u16310), _u16312)), c_List_Olistrel1(_u16308, _u16314))) | ( _u16312 = hAPP(hAPP(c_List_Olist__update(_u16308, _u16310), skolem439(_u16314, _u16312, _u16310, _u16308)), skolem438(_u16314, _u16312, _u16310, _u16308))) )).
% 43.40/43.65 cnf(matrix-6917, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16309, _u16309)), hAPP(hAPP(c_Product__Type_OPair(_u16309, _u16309), hAPP(hAPP(c_List_Onth(_u16309), _u16311), _u16302)), _u16303)), _u16315)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16302), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16309)), _u16311))) | ( _u16313 != hAPP(hAPP(c_List_Olist__update(_u16309, _u16311), _u16302), _u16303)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16309), tc_List_Olist(_u16309))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16309), tc_List_Olist(_u16309)), _u16311), _u16313)), c_List_Olistrel1(_u16309, _u16315))) )).
% 43.40/43.65 cnf(matrix-6918, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16316), _u16317)) | hBOOL(hAPP(hAPP(c_member(_u16316), _u16318), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16316, tc_HOL_Obool)), hAPP(c_List_Oset(_u16316), _u16317)), hAPP(hAPP(c_Set_Oinsert(_u16316), hAPP(hAPP(c_List_Onth(_u16316), _u16317), _u16319)), c_Orderings_Obot__class_Obot(tc_fun(_u16316, tc_HOL_Obool)))))) | hBOOL(hAPP(c_List_Odistinct(_u16316), hAPP(hAPP(c_List_Olist__update(_u16316, _u16317), _u16319), _u16318))) )).
% 43.40/43.65 cnf(matrix-6919, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16320), _u16321)) | hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u16320)), c_Enum_On__lists(_u16320, _u16322, _u16321))) )).
% 43.40/43.65 cnf(matrix-6920, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16323), _u16324)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16323, _u16325)), hAPP(hAPP(c_List_Ozip(_u16323, _u16325), _u16324), _u16326))) )).
% 43.40/43.65 cnf(matrix-6921, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16327), _u16328)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16329, _u16327)), hAPP(hAPP(c_List_Ozip(_u16329, _u16327), _u16330), _u16328))) )).
% 43.40/43.65 cnf(matrix-6922, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16331), _u16332)) | hBOOL(hAPP(c_List_Odistinct(_u16331), c_List_Osublist(_u16331, _u16332, _u16333))) )).
% 43.40/43.65 cnf(matrix-6923, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16334), _u16335)) | ~hBOOL(hAPP(c_List_Odistinct(_u16336), _u16337)) | hBOOL(hAPP(c_List_Odistinct(tc_prod(_u16334, _u16336)), c_Enum_Oproduct(_u16334, _u16336, _u16335, _u16337))) )).
% 43.40/43.65 cnf(matrix-6924, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint), c_List_Oupto(_u16338, _u16339))) )).
% 43.40/43.65 cnf(matrix-6925, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16340), _u16341)) | hBOOL(hAPP(c_List_Odistinct(_u16340), hAPP(hAPP(c_List_Otake(_u16340), _u16342), _u16341))) )).
% 43.40/43.65 cnf(matrix-6926, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16346), hAPP(hAPP(c_List_Olist_OCons(_u16346), _u16348), _u16350))) | ~hBOOL(hAPP(hAPP(c_member(_u16346), _u16348), hAPP(c_List_Oset(_u16346), _u16350))) )).
% 43.40/43.65 cnf(matrix-6927, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16346), hAPP(hAPP(c_List_Olist_OCons(_u16346), _u16348), _u16350))) | hBOOL(hAPP(c_List_Odistinct(_u16346), _u16350)) )).
% 43.40/43.65 cnf(matrix-6928, plain, ( hBOOL(hAPP(hAPP(c_member(_u16347), _u16349), hAPP(c_List_Oset(_u16347), _u16351))) | ~hBOOL(hAPP(c_List_Odistinct(_u16347), _u16351)) | hBOOL(hAPP(c_List_Odistinct(_u16347), hAPP(hAPP(c_List_Olist_OCons(_u16347), _u16349), _u16351))) )).
% 43.40/43.65 cnf(matrix-6929, plain, ( ( hAPP(c_Finite__Set_Ocard(_u16352), hAPP(c_List_Oset(_u16352), _u16353)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16352)), _u16353)) | hBOOL(hAPP(c_List_Odistinct(_u16352), _u16353)) )).
% 43.40/43.65 cnf(matrix-6930, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16354), _u16355)) | ( hAPP(c_Finite__Set_Ocard(_u16354), hAPP(c_List_Oset(_u16354), _u16355)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16354)), _u16355)) )).
% 43.40/43.65 cnf(matrix-6931, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16362), _u16364)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16357), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16362)), _u16364))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16356), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16362)), _u16364))) | ( _u16357 = _u16356) | ( hAPP(hAPP(c_List_Onth(_u16362), _u16364), _u16357) != hAPP(hAPP(c_List_Onth(_u16362), _u16364), _u16356)) )).
% 43.40/43.65 cnf(matrix-6932, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16363), _u16365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem440(_u16365, _u16363)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16363)), _u16365))) )).
% 43.40/43.65 cnf(matrix-6933, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16363), _u16365)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem441(_u16365, _u16363)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16363)), _u16365))) )).
% 43.40/43.65 cnf(matrix-6934, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16363), _u16365)) | ( skolem440(_u16365, _u16363) != skolem441(_u16365, _u16363)) )).
% 43.40/43.65 cnf(matrix-6935, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16363), _u16365)) | ( hAPP(hAPP(c_List_Onth(_u16363), _u16365), skolem440(_u16365, _u16363)) = hAPP(hAPP(c_List_Onth(_u16363), _u16365), skolem441(_u16365, _u16363))) )).
% 43.40/43.65 cnf(matrix-6936, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16366), _u16367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16368), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16366)), _u16367))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16369), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16366)), _u16367))) | ( hAPP(hAPP(c_List_Onth(_u16366), _u16367), _u16368) != hAPP(hAPP(c_List_Onth(_u16366), _u16367), _u16369)) | ( _u16368 = _u16369) )).
% 43.40/43.65 cnf(matrix-6937, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16366), _u16367)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16368), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16366)), _u16367))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16369), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16366)), _u16367))) | ( _u16368 != _u16369) | ( hAPP(hAPP(c_List_Onth(_u16366), _u16367), _u16368) = hAPP(hAPP(c_List_Onth(_u16366), _u16367), _u16369)) )).
% 43.40/43.65 cnf(matrix-6938, plain, ( ~class_Groups_Ocomm__monoid__add(_u16370) | ~hBOOL(hAPP(c_List_Odistinct(_u16370), _u16371)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16370), _u16371) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u16370, _u16370), c_COMBI(_u16370)), hAPP(c_List_Oset(_u16370), _u16371))) )).
% 43.40/43.65 cnf(matrix-6939, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16374), _u16376)) | ( c_Nitpick_Ocard_H(_u16374, _u16376) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16374)), c_Hilbert__Choice_OEps(tc_List_Olist(_u16374), hAPP(hAPP(c_COMBS(tc_List_Olist(_u16374), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u16374)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16374), tc_fun(_u16374, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u16374, tc_HOL_Obool), tc_fun(tc_fun(_u16374, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u16374)), c_fequal), c_List_Oset(_u16374))), _u16376))), c_List_Odistinct(_u16374))))) )).
% 43.40/43.65 cnf(matrix-6940, plain, ( hBOOL(hAPP(c_Finite__Set_Ofinite(_u16375), _u16377)) | ( c_Nitpick_Ocard_H(_u16375, _u16377) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-6941, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16378), _u16379)) | ( hAPP(c_List_Oset(_u16378), c_List_Oremove1(_u16378, _u16380, _u16379)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16378, tc_HOL_Obool)), hAPP(c_List_Oset(_u16378), _u16379)), hAPP(hAPP(c_Set_Oinsert(_u16378), _u16380), c_Orderings_Obot__class_Obot(tc_fun(_u16378, tc_HOL_Obool))))) )).
% 43.40/43.65 cnf(matrix-6942, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16381), _u16382)) | hBOOL(hAPP(c_List_Odistinct(_u16381), c_List_Oremove1(_u16381, _u16383, _u16382))) )).
% 43.40/43.65 cnf(matrix-6943, plain, ( hBOOL(hAPP(hAPP(c_member(_u16384), _u16385), hAPP(c_List_Oset(_u16384), _u16386))) | ( c_List_Oremove1(_u16384, _u16385, _u16386) = _u16386) )).
% 43.40/43.65 cnf(matrix-6944, plain, ( hBOOL(hAPP(hAPP(c_member(_u16387), _u16388), hAPP(c_List_Oset(_u16387), _u16389))) | ~hBOOL(hAPP(hAPP(c_member(_u16387), _u16388), hAPP(c_List_Oset(_u16387), c_List_Oremove1(_u16387, _u16390, _u16389)))) )).
% 43.40/43.65 cnf(matrix-6945, plain, ( ( _u16391 = _u16392) | ~hBOOL(hAPP(hAPP(c_member(_u16393), _u16391), hAPP(c_List_Oset(_u16393), c_List_Oremove1(_u16393, _u16392, _u16394)))) | hBOOL(hAPP(hAPP(c_member(_u16393), _u16391), hAPP(c_List_Oset(_u16393), _u16394))) )).
% 43.40/43.65 cnf(matrix-6946, plain, ( ( _u16391 = _u16392) | ~hBOOL(hAPP(hAPP(c_member(_u16393), _u16391), hAPP(c_List_Oset(_u16393), _u16394))) | hBOOL(hAPP(hAPP(c_member(_u16393), _u16391), hAPP(c_List_Oset(_u16393), c_List_Oremove1(_u16393, _u16392, _u16394)))) )).
% 43.40/43.65 cnf(matrix-6947, plain, ( ( _u16399 != _u16401) | ( c_List_Oremove1(_u16403, _u16399, hAPP(hAPP(c_List_Olist_OCons(_u16403), _u16401), _u16405)) = _u16405) )).
% 43.40/43.65 cnf(matrix-6948, plain, ( ( _u16400 = _u16402) | ( c_List_Oremove1(_u16404, _u16400, hAPP(hAPP(c_List_Olist_OCons(_u16404), _u16402), _u16406)) = hAPP(hAPP(c_List_Olist_OCons(_u16404), _u16402), c_List_Oremove1(_u16404, _u16400, _u16406))) )).
% 43.40/43.65 cnf(matrix-6949, plain, ( ( c_List_Oremove1(_u16407, _u16408, c_List_Oremove1(_u16407, _u16409, _u16410)) = c_List_Oremove1(_u16407, _u16409, c_List_Oremove1(_u16407, _u16408, _u16410))) )).
% 43.40/43.65 cnf(matrix-6950, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u16411, tc_HOL_Obool)), hAPP(c_List_Oset(_u16411), c_List_Oremove1(_u16411, _u16412, _u16413))), hAPP(c_List_Oset(_u16411), _u16413))) )).
% 43.40/43.65 cnf(matrix-6951, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16417), _u16419), hAPP(c_List_Oset(_u16417), _u16421))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16417)), c_List_Oremove1(_u16417, _u16419, _u16421)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16417)), _u16421)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.40/43.65 cnf(matrix-6952, plain, ( hBOOL(hAPP(hAPP(c_member(_u16418), _u16420), hAPP(c_List_Oset(_u16418), _u16422))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16418)), c_List_Oremove1(_u16418, _u16420, _u16422)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16418)), _u16422)) )).
% 43.40/43.65 cnf(matrix-6953, plain, ( ~class_Orderings_Olinorder(_u16423) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u16423), _u16424)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16423, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u16423, tc_HOL_Obool)), _u16424), hAPP(hAPP(c_Set_Oinsert(_u16423), _u16425), c_Orderings_Obot__class_Obot(tc_fun(_u16423, tc_HOL_Obool))))) = c_List_Oremove1(_u16423, _u16425, c_List_Olinorder__class_Osorted__list__of__set(_u16423, _u16424))) )).
% 43.40/43.65 cnf(matrix-6954, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16430) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16432), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16430)), hAPP(hAPP(c_List_Olist_OCons(_u16432), _u16434), _u16436)) = c_List_Olist_ONil(_u16432)) )).
% 43.40/43.65 cnf(matrix-6955, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16431) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16433), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16431)), hAPP(hAPP(c_List_Olist_OCons(_u16433), _u16435), _u16437)) = hAPP(hAPP(c_List_Olist_OCons(_u16433), _u16435), hAPP(hAPP(c_List_Otake(_u16433), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u16431)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16437))) )).
% 43.40/43.65 cnf(matrix-6956, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16438)), c_List_Olist_ONil(_u16438)), c_List_Olists(_u16438, _u16439))) )).
% 43.40/43.65 cnf(matrix-6957, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16440), tc_List_Olist(_u16440))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16440), tc_List_Olist(_u16440)), c_List_Olist_ONil(_u16440)), _u16441)), c_List_Olistrel(_u16440, _u16442))) | ( _u16441 = c_List_Olist_ONil(_u16440)) )).
% 43.40/43.65 cnf(matrix-6958, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16443), tc_List_Olist(_u16443))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16443), tc_List_Olist(_u16443)), _u16444), c_List_Olist_ONil(_u16443))), c_List_Olistrel(_u16443, _u16445))) | ( _u16444 = c_List_Olist_ONil(_u16443)) )).
% 43.40/43.65 cnf(matrix-6959, plain, ( hBOOL(hAPP(c_List_Odistinct(_u16446), c_List_Olist_ONil(_u16446))) )).
% 43.40/43.65 cnf(matrix-6960, plain, ( ( _u16447 = c_List_Olist_ONil(_u16448)) | ~hBOOL(hAPP(c_List_Odistinct(_u16448), _u16447)) | hBOOL(hAPP(c_List_Odistinct(_u16448), c_List_Obutlast(_u16448, _u16447))) )).
% 43.40/43.65 cnf(matrix-6961, plain, ( ( c_List_Oremove1(_u16449, _u16450, c_List_Olist_ONil(_u16449)) = c_List_Olist_ONil(_u16449)) )).
% 43.40/43.65 cnf(matrix-6962, plain, ( ( c_List_Osublist(_u16451, _u16452, c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat, tc_HOL_Obool))) = c_List_Olist_ONil(_u16451)) )).
% 43.40/43.65 cnf(matrix-6963, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16453, _u16454), c_List_Olist_ONil(_u16453)), _u16455) = c_List_Olist_ONil(tc_prod(_u16453, _u16454))) )).
% 43.40/43.65 cnf(matrix-6964, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16456, _u16457), _u16458), c_List_Olist_ONil(_u16457)) = c_List_Olist_ONil(tc_prod(_u16456, _u16457))) )).
% 43.40/43.65 cnf(matrix-6965, plain, ( ( c_List_Olist_Olist__size(_u16459, _u16460, c_List_Olist_ONil(_u16459)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-6966, plain, ( ~class_Orderings_Olinorder(_u16461) | ( c_List_Olinorder__class_Osorted__list__of__set(_u16461, c_Orderings_Obot__class_Obot(tc_fun(_u16461, tc_HOL_Obool))) = c_List_Olist_ONil(_u16461)) )).
% 43.40/43.65 cnf(matrix-6967, plain, ( ( c_List_Osublist(_u16462, c_List_Olist_ONil(_u16462), _u16463) = c_List_Olist_ONil(_u16462)) )).
% 43.40/43.65 cnf(matrix-6968, plain, ( c_List_Olistrelp(_u16464, _u16465, c_List_Olist_ONil(_u16464), c_List_Olist_ONil(_u16464)) )).
% 43.40/43.65 cnf(matrix-6969, plain, ( c_List_Olistrelp(_u16466, _u16467, c_List_Olist_ONil(_u16466), c_List_Olist_ONil(_u16466)) )).
% 43.40/43.65 cnf(matrix-6970, plain, ( ( c_Enum_Oproduct(_u16468, _u16469, c_List_Olist_ONil(_u16468), _u16470) = c_List_Olist_ONil(tc_prod(_u16468, _u16469))) )).
% 43.40/43.65 cnf(matrix-6971, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u16471), _u16472)) | ( c_List_Oupto(_u16472, _u16471) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 43.40/43.65 cnf(matrix-6972, plain, ( ( c_List_Olist_ONil(_u16473) != hAPP(hAPP(c_List_Olist_OCons(_u16473), _u16474), _u16475)) )).
% 43.40/43.65 cnf(matrix-6973, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16476), _u16477), _u16478) != c_List_Olist_ONil(_u16476)) )).
% 43.40/43.65 cnf(matrix-6974, plain, ( ( c_Enum_Osublists(_u16479, c_List_Olist_ONil(_u16479)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16479)), c_List_Olist_ONil(_u16479)), c_List_Olist_ONil(tc_List_Olist(_u16479)))) )).
% 43.40/43.65 cnf(matrix-6975, plain, ( ( hAPP(hAPP(c_List_Otake(_u16480), _u16481), c_List_Olist_ONil(_u16480)) = c_List_Olist_ONil(_u16480)) )).
% 43.40/43.65 cnf(matrix-6976, plain, ( ( hAPP(hAPP(c_List_Otake(_u16485), _u16487), _u16489) != c_List_Olist_ONil(_u16485)) | ( _u16487 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16489 = c_List_Olist_ONil(_u16485)) )).
% 43.40/43.65 cnf(matrix-6977, plain, ( ( hAPP(hAPP(c_List_Otake(_u16486), _u16488), _u16490) = c_List_Olist_ONil(_u16486)) | ( _u16488 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-6978, plain, ( ( hAPP(hAPP(c_List_Otake(_u16486), _u16488), _u16490) = c_List_Olist_ONil(_u16486)) | ( _u16490 != c_List_Olist_ONil(_u16486)) )).
% 43.40/43.65 cnf(matrix-6979, plain, ( ( hAPP(hAPP(c_List_Otake(_u16491), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16492) = c_List_Olist_ONil(_u16491)) )).
% 43.40/43.65 cnf(matrix-6980, plain, ( ( _u16495 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16497, _u16495, c_List_Olist_ONil(_u16497)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16497)), c_List_Olist_ONil(_u16497)), c_List_Olist_ONil(tc_List_Olist(_u16497)))) )).
% 43.40/43.65 cnf(matrix-6981, plain, ( ( _u16496 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_Enum_On__lists(_u16498, _u16496, c_List_Olist_ONil(_u16498)) = c_List_Olist_ONil(tc_List_Olist(_u16498))) )).
% 43.40/43.65 cnf(matrix-6982, plain, ( ( c_Enum_On__lists(_u16499, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u16500) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u16499)), c_List_Olist_ONil(_u16499)), c_List_Olist_ONil(tc_List_Olist(_u16499)))) )).
% 43.40/43.65 cnf(matrix-6983, plain, ( ( hAPP(c_List_Oset(_u16501), c_List_Olist_ONil(_u16501)) = c_Orderings_Obot__class_Obot(tc_fun(_u16501, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-6984, plain, ( ( c_Orderings_Obot__class_Obot(tc_fun(_u16504, tc_HOL_Obool)) != hAPP(c_List_Oset(_u16504), _u16506)) | ( _u16506 = c_List_Olist_ONil(_u16504)) )).
% 43.40/43.65 cnf(matrix-6985, plain, ( ( _u16507 != c_List_Olist_ONil(_u16505)) | ( c_Orderings_Obot__class_Obot(tc_fun(_u16505, tc_HOL_Obool)) = hAPP(c_List_Oset(_u16505), _u16507)) )).
% 43.40/43.65 cnf(matrix-6986, plain, ( ( hAPP(c_List_Oset(_u16510), _u16512) != c_Orderings_Obot__class_Obot(tc_fun(_u16510, tc_HOL_Obool))) | ( _u16512 = c_List_Olist_ONil(_u16510)) )).
% 43.40/43.65 cnf(matrix-6987, plain, ( ( _u16513 != c_List_Olist_ONil(_u16511)) | ( hAPP(c_List_Oset(_u16511), _u16513) = c_Orderings_Obot__class_Obot(tc_fun(_u16511, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-6988, plain, ( ( _u16517 != c_List_Olist_ONil(_u16519)) | ( c_List_Obutlast(_u16519, hAPP(hAPP(c_List_Olist_OCons(_u16519), _u16521), _u16517)) = c_List_Olist_ONil(_u16519)) )).
% 43.40/43.65 cnf(matrix-6989, plain, ( ( _u16518 = c_List_Olist_ONil(_u16520)) | ( c_List_Obutlast(_u16520, hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), _u16518)) = hAPP(hAPP(c_List_Olist_OCons(_u16520), _u16522), c_List_Obutlast(_u16520, _u16518))) )).
% 43.40/43.65 cnf(matrix-6990, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16525)), _u16527) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u16527 = c_List_Olist_ONil(_u16525)) )).
% 43.40/43.65 cnf(matrix-6991, plain, ( ( _u16528 != c_List_Olist_ONil(_u16526)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16526)), _u16528) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-6992, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16529)), c_List_Olist_ONil(_u16529)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-6993, plain, ( ( c_List_Obutlast(_u16530, c_List_Olist_ONil(_u16530)) = c_List_Olist_ONil(_u16530)) )).
% 43.40/43.65 cnf(matrix-6994, plain, ( ~class_Groups_Omonoid__add(_u16531) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16531), c_List_Olist_ONil(_u16531)) = c_Groups_Ozero__class_Ozero(_u16531)) )).
% 43.40/43.65 cnf(matrix-6995, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16532, c_List_Olist_ONil(_u16532)), _u16533), _u16534) = c_List_Olist_ONil(_u16532)) )).
% 43.40/43.65 cnf(matrix-6996, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16535, c_List_Olist_ONil(_u16535)), _u16536), _u16537) = c_List_Olist_ONil(_u16535)) )).
% 43.40/43.65 cnf(matrix-6997, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16542, _u16544), _u16546), _u16548) != c_List_Olist_ONil(_u16542)) | ( _u16544 = c_List_Olist_ONil(_u16542)) )).
% 43.40/43.65 cnf(matrix-6998, plain, ( ( _u16545 != c_List_Olist_ONil(_u16543)) | ( hAPP(hAPP(c_List_Olist__update(_u16543, _u16545), _u16547), _u16549) = c_List_Olist_ONil(_u16543)) )).
% 43.40/43.65 cnf(matrix-6999, 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(_u16552)), _u16554))) | ( _u16554 != c_List_Olist_ONil(_u16552)) )).
% 43.40/43.65 cnf(matrix-7000, plain, ( ( _u16555 = c_List_Olist_ONil(_u16553)) | 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(_u16553)), _u16555))) )).
% 43.40/43.65 cnf(matrix-7001, plain, ( ( hAPP(hAPP(c_List_Otake(_u16556), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u16556), _u16557), _u16558)) = hAPP(hAPP(c_List_Olist_OCons(_u16556), _u16557), c_List_Olist_ONil(_u16556))) )).
% 43.40/43.65 cnf(matrix-7002, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16559), tc_List_Olist(_u16559))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16559), tc_List_Olist(_u16559)), _u16560), c_List_Olist_ONil(_u16559))), c_List_Olistrel1(_u16559, _u16561))) )).
% 43.40/43.65 cnf(matrix-7003, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16562), tc_List_Olist(_u16562))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16562), tc_List_Olist(_u16562)), c_List_Olist_ONil(_u16562)), _u16563)), c_List_Olistrel1(_u16562, _u16564))) )).
% 43.40/43.65 cnf(matrix-7004, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16565), tc_List_Olist(_u16565))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16565), tc_List_Olist(_u16565)), c_List_Olist_ONil(_u16565)), c_List_Olist_ONil(_u16565))), c_List_Olistrel(_u16565, _u16566))) )).
% 43.40/43.65 cnf(matrix-7005, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16567), tc_List_Olist(_u16567))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16567), tc_List_Olist(_u16567)), _u16568), c_List_Olist_ONil(_u16567))), c_List_Olexord(_u16567, _u16569))) )).
% 43.40/43.65 cnf(matrix-7006, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16570), tc_List_Olist(_u16570))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16570), tc_List_Olist(_u16570)), c_List_Olist_ONil(_u16570)), _u16571)), c_List_Olex(_u16570, _u16572))) )).
% 43.40/43.65 cnf(matrix-7007, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16573), tc_List_Olist(_u16573))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16573), tc_List_Olist(_u16573)), _u16574), c_List_Olist_ONil(_u16573))), c_List_Olex(_u16573, _u16575))) )).
% 43.40/43.65 cnf(matrix-7008, plain, ( ( hAPP(hAPP(c_List_Otake(_u16576), _u16577), hAPP(hAPP(c_List_Olist_OCons(_u16576), _u16578), _u16579)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u16576), c_List_Olist_ONil(_u16576), hAPP(hAPP(c_COMBB(tc_List_Olist(_u16576), tc_List_Olist(_u16576), tc_Nat_Onat), hAPP(c_List_Olist_OCons(_u16576), _u16578)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u16576), tc_List_Olist(_u16576)), c_List_Otake(_u16576)), _u16579)), _u16577)) )).
% 43.40/43.65 cnf(matrix-7009, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16582), _u16584)) | ( c_List_Oupto(_u16582, _u16584) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16582), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16582), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16584))) )).
% 43.40/43.65 cnf(matrix-7010, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16583), _u16585)) | ( c_List_Oupto(_u16583, _u16585) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 43.40/43.65 cnf(matrix-7011, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16589)) | ( c_List_Osublist(_u16591, hAPP(hAPP(c_List_Olist_OCons(_u16591), _u16593), c_List_Olist_ONil(_u16591)), _u16589) = hAPP(hAPP(c_List_Olist_OCons(_u16591), _u16593), c_List_Olist_ONil(_u16591))) )).
% 43.40/43.65 cnf(matrix-7012, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16590)) | ( c_List_Osublist(_u16592, hAPP(hAPP(c_List_Olist_OCons(_u16592), _u16594), c_List_Olist_ONil(_u16592)), _u16590) = c_List_Olist_ONil(_u16592)) )).
% 43.40/43.65 cnf(matrix-7013, plain, ( ( c_List_Olists(_u16595, c_Orderings_Obot__class_Obot(tc_fun(_u16595, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16595)), c_List_Olist_ONil(_u16595)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16595), tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-7014, plain, ( ( _u16600 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16602), _u16600), hAPP(hAPP(c_List_Olist_OCons(_u16602), _u16604), _u16606)) = c_List_Olist_ONil(_u16602)) )).
% 43.40/43.65 cnf(matrix-7015, plain, ( ( _u16601 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Otake(_u16603), _u16601), hAPP(hAPP(c_List_Olist_OCons(_u16603), _u16605), _u16607)) = hAPP(hAPP(c_List_Olist_OCons(_u16603), _u16605), hAPP(hAPP(c_List_Otake(_u16603), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16601), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u16607))) )).
% 43.40/43.65 cnf(matrix-7016, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16610)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16612))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16610), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16612)) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16610)), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16610)), c_Groups_Oone__class_Oone(tc_Int_Oint)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16612)))) )).
% 43.40/43.65 cnf(matrix-7017, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16611)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16613))) | ( c_List_Oupto(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16611), hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint), _u16613)) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 43.40/43.65 cnf(matrix-7018, plain, ( ( hAPP(c_Relation_OImage(tc_List_Olist(_u16614), tc_List_Olist(_u16614), c_List_Olistrel(_u16614, _u16615)), hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16614)), c_List_Olist_ONil(_u16614)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16614), tc_HOL_Obool)))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16614)), c_List_Olist_ONil(_u16614)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16614), tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-7019, plain, ( ( c_List_Oset__Cons(_u16616, _u16617, hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16616)), c_List_Olist_ONil(_u16616)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16616), tc_HOL_Obool)))) = hAPP(c_Set_Oimage(_u16616, tc_List_Olist(_u16616), hAPP(hAPP(c_COMBC(_u16616, tc_List_Olist(_u16616), tc_List_Olist(_u16616)), c_List_Olist_OCons(_u16616)), c_List_Olist_ONil(_u16616))), _u16617)) )).
% 43.40/43.65 cnf(matrix-7020, 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), _u16618), _u16619))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16618), _u16619)) | ( c_List_Oupto(_u16618, _u16619) = hAPP(hAPP(c_List_Olist_OCons(tc_Int_Oint), _u16618), c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u16618), c_Groups_Oone__class_Oone(tc_Int_Oint)), _u16619))) )).
% 43.40/43.65 cnf(matrix-7021, 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), _u16618), _u16619))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), _u16618), _u16619)) | ( c_List_Oupto(_u16618, _u16619) = c_List_Olist_ONil(tc_Int_Oint)) )).
% 43.40/43.65 cnf(matrix-7022, plain, ( ( _u16620 = c_List_Olist_ONil(_u16621)) | hBOOL(hAPP(hAPP(c_member(_u16621), hAPP(c_Product__Type_Ofst(_u16621, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect(_u16621, _u16620), _u16622))), hAPP(c_List_Oset(_u16621), _u16620))) )).
% 43.40/43.65 cnf(matrix-7023, plain, ( ( c_List_Olistset(_u16623, c_List_Olist_ONil(tc_fun(_u16623, tc_HOL_Obool))) = hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(_u16623)), c_List_Olist_ONil(_u16623)), c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(_u16623), tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-7024, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16624, _u16625), _u16626), hAPP(hAPP(c_List_Olist_OCons(_u16625), _u16627), _u16628)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16624, _u16625)), _u16624, c_List_Olist_ONil(tc_prod(_u16624, _u16625)), hAPP(hAPP(c_COMBC(_u16624, tc_fun(tc_List_Olist(_u16624), tc_List_Olist(tc_prod(_u16624, _u16625))), tc_fun(tc_List_Olist(_u16624), tc_List_Olist(tc_prod(_u16624, _u16625)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16624, _u16625)), tc_List_Olist(tc_prod(_u16624, _u16625))), tc_fun(tc_fun(tc_List_Olist(_u16624), tc_List_Olist(tc_prod(_u16624, _u16625))), tc_fun(tc_List_Olist(_u16624), tc_List_Olist(tc_prod(_u16624, _u16625)))), _u16624), c_COMBB(tc_List_Olist(tc_prod(_u16624, _u16625)), tc_List_Olist(tc_prod(_u16624, _u16625)), tc_List_Olist(_u16624))), hAPP(hAPP(c_COMBB(tc_prod(_u16624, _u16625), tc_fun(tc_List_Olist(tc_prod(_u16624, _u16625)), tc_List_Olist(tc_prod(_u16624, _u16625))), _u16624), c_List_Olist_OCons(tc_prod(_u16624, _u16625))), hAPP(hAPP(c_COMBC(_u16624, _u16625, tc_prod(_u16624, _u16625)), c_Product__Type_OPair(_u16624, _u16625)), _u16627)))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u16624), tc_List_Olist(_u16625), tc_List_Olist(tc_prod(_u16624, _u16625))), c_List_Ozip(_u16624, _u16625)), _u16628))), _u16626)) )).
% 43.40/43.65 cnf(matrix-7025, plain, ( ( hAPP(c_List_Olist_Olist__case(_u16629, _u16630, _u16631, _u16632), hAPP(hAPP(c_List_Olist_OCons(_u16630), _u16633), _u16634)) = hAPP(hAPP(_u16632, _u16633), _u16634)) )).
% 43.40/43.65 cnf(matrix-7026, plain, ( ( hAPP(c_List_Olist_Olist__case(_u16635, _u16636, _u16637, _u16638), c_List_Olist_ONil(_u16636)) = _u16637) )).
% 43.40/43.65 cnf(matrix-7027, plain, ( ( c_List_Olistset(_u16639, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u16639, tc_HOL_Obool)), _u16640), _u16641)) = c_List_Oset__Cons(_u16639, _u16640, c_List_Olistset(_u16639, _u16641))) )).
% 43.40/43.65 cnf(matrix-7028, plain, ( ( hAPP(hAPP(c_List_Ozip(_u16642, _u16643), hAPP(hAPP(c_List_Olist_OCons(_u16642), _u16644), _u16645)), _u16646) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(_u16642, _u16643)), _u16643, c_List_Olist_ONil(tc_prod(_u16642, _u16643)), hAPP(hAPP(c_COMBC(_u16643, tc_fun(tc_List_Olist(_u16643), tc_List_Olist(tc_prod(_u16642, _u16643))), tc_fun(tc_List_Olist(_u16643), tc_List_Olist(tc_prod(_u16642, _u16643)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(_u16642, _u16643)), tc_List_Olist(tc_prod(_u16642, _u16643))), tc_fun(tc_fun(tc_List_Olist(_u16643), tc_List_Olist(tc_prod(_u16642, _u16643))), tc_fun(tc_List_Olist(_u16643), tc_List_Olist(tc_prod(_u16642, _u16643)))), _u16643), c_COMBB(tc_List_Olist(tc_prod(_u16642, _u16643)), tc_List_Olist(tc_prod(_u16642, _u16643)), tc_List_Olist(_u16643))), hAPP(hAPP(c_COMBB(tc_prod(_u16642, _u16643), tc_fun(tc_List_Olist(tc_prod(_u16642, _u16643)), tc_List_Olist(tc_prod(_u16642, _u16643))), _u16643), c_List_Olist_OCons(tc_prod(_u16642, _u16643))), hAPP(c_Product__Type_OPair(_u16642, _u16643), _u16644)))), hAPP(c_List_Ozip(_u16642, _u16643), _u16645))), _u16646)) )).
% 43.40/43.65 cnf(matrix-7029, 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), _u16649), _u16650))) | hBOOL(hAPP(hAPP(_u16651, _u16649), _u16650)) | 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), skolem442(_u16651, _u16650, _u16649)), skolem443(_u16651, _u16650, _u16649)))) )).
% 43.40/43.65 cnf(matrix-7030, 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), _u16649), _u16650))) | hBOOL(hAPP(hAPP(_u16651, _u16649), _u16650)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint), skolem442(_u16651, _u16650, _u16649)), skolem443(_u16651, _u16650, _u16649))) | hBOOL(hAPP(hAPP(_u16651, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem442(_u16651, _u16650, _u16649)), c_Groups_Oone__class_Oone(tc_Int_Oint))), skolem443(_u16651, _u16650, _u16649))) )).
% 43.40/43.65 cnf(matrix-7031, 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), _u16649), _u16650))) | hBOOL(hAPP(hAPP(_u16651, _u16649), _u16650)) | ~hBOOL(hAPP(hAPP(_u16651, skolem442(_u16651, _u16650, _u16649)), skolem443(_u16651, _u16650, _u16649))) )).
% 43.40/43.65 cnf(matrix-7032, plain, ( ( _u16657 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16659, _u16661, _u16663), _u16657), _u16665) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16661), _u16659), c_List_Olist_ONil(_u16661)), _u16665)) )).
% 43.40/43.65 cnf(matrix-7033, plain, ( ( _u16658 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(hAPP(c_Lazy__Sequence_Oanamorph(_u16660, _u16662, _u16664), _u16658), _u16666) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(_u16662), _u16660), tc_prod(_u16662, _u16660), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16662), _u16660), c_List_Olist_ONil(_u16662)), _u16666), hAPP(c_Product__Type_Oprod_Oprod__case(_u16662, _u16660, tc_prod(tc_List_Olist(_u16662), _u16660)), hAPP(hAPP(c_COMBC(_u16662, tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660)), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(_u16662), _u16660), tc_prod(tc_List_Olist(_u16662), _u16660)), tc_fun(tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660)), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), _u16662), c_COMBB(tc_prod(tc_List_Olist(_u16662), _u16660), tc_prod(tc_List_Olist(_u16662), _u16660), _u16660)), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16662), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), tc_fun(tc_prod(tc_List_Olist(_u16662), _u16660), tc_prod(tc_List_Olist(_u16662), _u16660)), _u16662), c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u16662), _u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u16662), tc_List_Olist(_u16662)), tc_fun(tc_List_Olist(_u16662), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660))), _u16662), hAPP(c_COMBB(tc_List_Olist(_u16662), tc_fun(_u16660, tc_prod(tc_List_Olist(_u16662), _u16660)), tc_List_Olist(_u16662)), c_Product__Type_OPair(tc_List_Olist(_u16662), _u16660))), c_List_Olist_OCons(_u16662))))), hAPP(c_Lazy__Sequence_Oanamorph(_u16660, _u16662, _u16664), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u16658), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))), hAPP(_u16664, _u16666))) )).
% 43.40/43.65 cnf(matrix-7034, plain, ( ( c_List_Osublist(_u16667, hAPP(hAPP(c_List_Olist_OCons(_u16667), _u16668), _u16669), _u16670) = hAPP(hAPP(c_List_Oappend(_u16667), hAPP(hAPP(hAPP(c_If(tc_List_Olist(_u16667)), hAPP(hAPP(c_member(tc_Nat_Onat), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u16670)), hAPP(hAPP(c_List_Olist_OCons(_u16667), _u16668), c_List_Olist_ONil(_u16667))), c_List_Olist_ONil(_u16667))), c_List_Osublist(_u16667, _u16669, 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)), _u16670))))) )).
% 43.40/43.65 cnf(matrix-7035, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Oappend(_u16677), _u16679), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16681), c_List_Olist_ONil(_u16677)))), hAPP(hAPP(c_List_Oappend(_u16677), _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16685), c_List_Olist_ONil(_u16677))))), c_List_Olistrel1(_u16677, _u16687))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), _u16679), _u16683)), c_List_Olistrel1(_u16677, _u16687))) | ( _u16679 = _u16683) )).
% 43.40/43.65 cnf(matrix-7036, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Oappend(_u16677), _u16679), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16681), c_List_Olist_ONil(_u16677)))), hAPP(hAPP(c_List_Oappend(_u16677), _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16685), c_List_Olist_ONil(_u16677))))), c_List_Olistrel1(_u16677, _u16687))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), _u16679), _u16683)), c_List_Olistrel1(_u16677, _u16687))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16677, _u16677)), hAPP(hAPP(c_Product__Type_OPair(_u16677, _u16677), _u16681), _u16685)), _u16687)) )).
% 43.40/43.65 cnf(matrix-7037, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Oappend(_u16677), _u16679), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16681), c_List_Olist_ONil(_u16677)))), hAPP(hAPP(c_List_Oappend(_u16677), _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16685), c_List_Olist_ONil(_u16677))))), c_List_Olistrel1(_u16677, _u16687))) | ( _u16681 = _u16685) | ( _u16679 = _u16683) )).
% 43.40/43.65 cnf(matrix-7038, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16677), tc_List_Olist(_u16677))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16677), tc_List_Olist(_u16677)), hAPP(hAPP(c_List_Oappend(_u16677), _u16679), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16681), c_List_Olist_ONil(_u16677)))), hAPP(hAPP(c_List_Oappend(_u16677), _u16683), hAPP(hAPP(c_List_Olist_OCons(_u16677), _u16685), c_List_Olist_ONil(_u16677))))), c_List_Olistrel1(_u16677, _u16687))) | ( _u16681 = _u16685) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u16677, _u16677)), hAPP(hAPP(c_Product__Type_OPair(_u16677, _u16677), _u16681), _u16685)), _u16687)) )).
% 43.40/43.65 cnf(matrix-7039, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16678), tc_List_Olist(_u16678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16678), tc_List_Olist(_u16678)), hAPP(hAPP(c_List_Oappend(_u16678), _u16680), hAPP(hAPP(c_List_Olist_OCons(_u16678), _u16682), c_List_Olist_ONil(_u16678)))), hAPP(hAPP(c_List_Oappend(_u16678), _u16684), hAPP(hAPP(c_List_Olist_OCons(_u16678), _u16686), c_List_Olist_ONil(_u16678))))), c_List_Olistrel1(_u16678, _u16688))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16678), tc_List_Olist(_u16678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16678), tc_List_Olist(_u16678)), _u16680), _u16684)), c_List_Olistrel1(_u16678, _u16688))) | ( _u16682 != _u16686) )).
% 43.40/43.65 cnf(matrix-7040, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16678), tc_List_Olist(_u16678))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16678), tc_List_Olist(_u16678)), hAPP(hAPP(c_List_Oappend(_u16678), _u16680), hAPP(hAPP(c_List_Olist_OCons(_u16678), _u16682), c_List_Olist_ONil(_u16678)))), hAPP(hAPP(c_List_Oappend(_u16678), _u16684), hAPP(hAPP(c_List_Olist_OCons(_u16678), _u16686), c_List_Olist_ONil(_u16678))))), c_List_Olistrel1(_u16678, _u16688))) | ( _u16680 != _u16684) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16678, _u16678)), hAPP(hAPP(c_Product__Type_OPair(_u16678, _u16678), _u16682), _u16686)), _u16688)) )).
% 43.40/43.65 cnf(matrix-7041, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16696), _u16698), _u16700) != hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16698 = c_List_Olist_ONil(_u16696)) | ( _u16698 = hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), skolem444(_u16704, _u16702, _u16700, _u16698, _u16696))) )).
% 43.40/43.65 cnf(matrix-7042, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16696), _u16698), _u16700) != hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16698 = c_List_Olist_ONil(_u16696)) | ( hAPP(hAPP(c_List_Oappend(_u16696), skolem444(_u16704, _u16702, _u16700, _u16698, _u16696)), _u16700) = _u16704) )).
% 43.40/43.65 cnf(matrix-7043, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16696), _u16698), _u16700) != hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16700 = hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16698 = hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), skolem444(_u16704, _u16702, _u16700, _u16698, _u16696))) )).
% 43.40/43.65 cnf(matrix-7044, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16696), _u16698), _u16700) != hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( _u16700 = hAPP(hAPP(c_List_Olist_OCons(_u16696), _u16702), _u16704)) | ( hAPP(hAPP(c_List_Oappend(_u16696), skolem444(_u16704, _u16702, _u16700, _u16698, _u16696)), _u16700) = _u16704) )).
% 43.40/43.65 cnf(matrix-7045, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16697), _u16699), _u16701) = hAPP(hAPP(c_List_Olist_OCons(_u16697), _u16703), _u16705)) | ( _u16699 != c_List_Olist_ONil(_u16697)) | ( _u16701 != hAPP(hAPP(c_List_Olist_OCons(_u16697), _u16703), _u16705)) )).
% 43.40/43.65 cnf(matrix-7046, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16697), _u16699), _u16701) = hAPP(hAPP(c_List_Olist_OCons(_u16697), _u16703), _u16705)) | ( _u16699 != hAPP(hAPP(c_List_Olist_OCons(_u16697), _u16703), _u16690)) | ( hAPP(hAPP(c_List_Oappend(_u16697), _u16690), _u16701) != _u16705) )).
% 43.40/43.65 cnf(matrix-7047, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) != hAPP(hAPP(c_List_Oappend(_u16713), _u16719), _u16721)) | ( _u16719 = c_List_Olist_ONil(_u16713)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), skolem445(_u16721, _u16719, _u16717, _u16715, _u16713)) = _u16719) )).
% 43.40/43.65 cnf(matrix-7048, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) != hAPP(hAPP(c_List_Oappend(_u16713), _u16719), _u16721)) | ( _u16719 = c_List_Olist_ONil(_u16713)) | ( _u16717 = hAPP(hAPP(c_List_Oappend(_u16713), skolem445(_u16721, _u16719, _u16717, _u16715, _u16713)), _u16721)) )).
% 43.40/43.65 cnf(matrix-7049, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) != hAPP(hAPP(c_List_Oappend(_u16713), _u16719), _u16721)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) = _u16721) | ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), skolem445(_u16721, _u16719, _u16717, _u16715, _u16713)) = _u16719) )).
% 43.40/43.65 cnf(matrix-7050, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) != hAPP(hAPP(c_List_Oappend(_u16713), _u16719), _u16721)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16713), _u16715), _u16717) = _u16721) | ( _u16717 = hAPP(hAPP(c_List_Oappend(_u16713), skolem445(_u16721, _u16719, _u16717, _u16715, _u16713)), _u16721)) )).
% 43.40/43.65 cnf(matrix-7051, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16714), _u16716), _u16718) = hAPP(hAPP(c_List_Oappend(_u16714), _u16720), _u16722)) | ( _u16720 != c_List_Olist_ONil(_u16714)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16714), _u16716), _u16718) != _u16722) )).
% 43.40/43.65 cnf(matrix-7052, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16714), _u16716), _u16718) = hAPP(hAPP(c_List_Oappend(_u16714), _u16720), _u16722)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16714), _u16716), _u16707) != _u16720) | ( _u16718 != hAPP(hAPP(c_List_Oappend(_u16714), _u16707), _u16722)) )).
% 43.40/43.65 cnf(matrix-7053, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16728), _u16730), hAPP(hAPP(c_List_Olist_OCons(_u16728), _u16732), c_List_Olist_ONil(_u16728))) != hAPP(hAPP(c_List_Oappend(_u16728), _u16734), hAPP(hAPP(c_List_Olist_OCons(_u16728), _u16736), c_List_Olist_ONil(_u16728)))) | ( _u16730 = _u16734) )).
% 43.40/43.65 cnf(matrix-7054, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16728), _u16730), hAPP(hAPP(c_List_Olist_OCons(_u16728), _u16732), c_List_Olist_ONil(_u16728))) != hAPP(hAPP(c_List_Oappend(_u16728), _u16734), hAPP(hAPP(c_List_Olist_OCons(_u16728), _u16736), c_List_Olist_ONil(_u16728)))) | ( _u16732 = _u16736) )).
% 43.40/43.65 cnf(matrix-7055, plain, ( ( _u16731 != _u16735) | ( _u16733 != _u16737) | ( hAPP(hAPP(c_List_Oappend(_u16729), _u16731), hAPP(hAPP(c_List_Olist_OCons(_u16729), _u16733), c_List_Olist_ONil(_u16729))) = hAPP(hAPP(c_List_Oappend(_u16729), _u16735), hAPP(hAPP(c_List_Olist_OCons(_u16729), _u16737), c_List_Olist_ONil(_u16729)))) )).
% 43.40/43.65 cnf(matrix-7056, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16738), hAPP(hAPP(c_List_Olist_OCons(_u16738), _u16739), _u16740)), _u16741) = hAPP(hAPP(c_List_Olist_OCons(_u16738), _u16739), hAPP(hAPP(c_List_Oappend(_u16738), _u16740), _u16741))) )).
% 43.40/43.65 cnf(matrix-7057, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u16742), _u16743), _u16744) != _u16745) | ( _u16746 != hAPP(hAPP(c_List_Oappend(_u16742), _u16744), _u16747)) | ( hAPP(hAPP(c_List_Olist_OCons(_u16742), _u16743), _u16746) = hAPP(hAPP(c_List_Oappend(_u16742), _u16745), _u16747)) )).
% 43.40/43.65 cnf(matrix-7058, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16752)), hAPP(hAPP(c_List_Oappend(_u16752), _u16754), _u16756)), c_List_Olists(_u16752, _u16758))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16752)), _u16754), c_List_Olists(_u16752, _u16758))) )).
% 43.40/43.65 cnf(matrix-7059, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16752)), hAPP(hAPP(c_List_Oappend(_u16752), _u16754), _u16756)), c_List_Olists(_u16752, _u16758))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16752)), _u16756), c_List_Olists(_u16752, _u16758))) )).
% 43.40/43.65 cnf(matrix-7060, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16753)), _u16755), c_List_Olists(_u16753, _u16759))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16753)), _u16757), c_List_Olists(_u16753, _u16759))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u16753)), hAPP(hAPP(c_List_Oappend(_u16753), _u16755), _u16757)), c_List_Olists(_u16753, _u16759))) )).
% 43.40/43.65 cnf(matrix-7061, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16760), _u16761), _u16762) != _u16763) | ( _u16764 != hAPP(hAPP(c_List_Oappend(_u16760), _u16762), _u16765)) | ( hAPP(hAPP(c_List_Oappend(_u16760), _u16761), _u16764) = hAPP(hAPP(c_List_Oappend(_u16760), _u16763), _u16765)) )).
% 43.40/43.65 cnf(matrix-7062, plain, ( ( _u16772 = _u16776) | ( hAPP(hAPP(c_List_Oappend(_u16770), _u16772), _u16774) != hAPP(hAPP(c_List_Oappend(_u16770), _u16776), _u16774)) )).
% 43.40/43.65 cnf(matrix-7063, plain, ( ( _u16773 != _u16777) | ( hAPP(hAPP(c_List_Oappend(_u16771), _u16773), _u16775) = hAPP(hAPP(c_List_Oappend(_u16771), _u16777), _u16775)) )).
% 43.40/43.65 cnf(matrix-7064, plain, ( ( _u16786 = _u16788) | ( hAPP(hAPP(c_List_Oappend(_u16782), _u16784), _u16786) != hAPP(hAPP(c_List_Oappend(_u16782), _u16784), _u16788)) )).
% 43.40/43.65 cnf(matrix-7065, plain, ( ( _u16787 != _u16789) | ( hAPP(hAPP(c_List_Oappend(_u16783), _u16785), _u16787) = hAPP(hAPP(c_List_Oappend(_u16783), _u16785), _u16789)) )).
% 43.40/43.65 cnf(matrix-7066, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), _u16805) != hAPP(hAPP(c_List_Oappend(_u16801), _u16807), _u16809)) | ( _u16803 = hAPP(hAPP(c_List_Oappend(_u16801), _u16807), skolem446(_u16809, _u16807, _u16805, _u16803, _u16801))) | ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), skolem447(_u16809, _u16807, _u16805, _u16803, _u16801)) = _u16807) )).
% 43.40/43.65 cnf(matrix-7067, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), _u16805) != hAPP(hAPP(c_List_Oappend(_u16801), _u16807), _u16809)) | ( _u16803 = hAPP(hAPP(c_List_Oappend(_u16801), _u16807), skolem446(_u16809, _u16807, _u16805, _u16803, _u16801))) | ( _u16805 = hAPP(hAPP(c_List_Oappend(_u16801), skolem447(_u16809, _u16807, _u16805, _u16803, _u16801)), _u16809)) )).
% 43.40/43.65 cnf(matrix-7068, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), _u16805) != hAPP(hAPP(c_List_Oappend(_u16801), _u16807), _u16809)) | ( hAPP(hAPP(c_List_Oappend(_u16801), skolem446(_u16809, _u16807, _u16805, _u16803, _u16801)), _u16805) = _u16809) | ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), skolem447(_u16809, _u16807, _u16805, _u16803, _u16801)) = _u16807) )).
% 43.40/43.65 cnf(matrix-7069, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16801), _u16803), _u16805) != hAPP(hAPP(c_List_Oappend(_u16801), _u16807), _u16809)) | ( hAPP(hAPP(c_List_Oappend(_u16801), skolem446(_u16809, _u16807, _u16805, _u16803, _u16801)), _u16805) = _u16809) | ( _u16805 = hAPP(hAPP(c_List_Oappend(_u16801), skolem447(_u16809, _u16807, _u16805, _u16803, _u16801)), _u16809)) )).
% 43.40/43.65 cnf(matrix-7070, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16802), _u16804), _u16806) = hAPP(hAPP(c_List_Oappend(_u16802), _u16808), _u16810)) | ( _u16804 != hAPP(hAPP(c_List_Oappend(_u16802), _u16808), _u16799)) | ( hAPP(hAPP(c_List_Oappend(_u16802), _u16799), _u16806) != _u16810) )).
% 43.40/43.65 cnf(matrix-7071, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16802), _u16804), _u16806) = hAPP(hAPP(c_List_Oappend(_u16802), _u16808), _u16810)) | ( hAPP(hAPP(c_List_Oappend(_u16802), _u16804), _u16800) != _u16808) | ( _u16806 != hAPP(hAPP(c_List_Oappend(_u16802), _u16800), _u16810)) )).
% 43.40/43.65 cnf(matrix-7072, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16811), hAPP(hAPP(c_List_Oappend(_u16811), _u16812), _u16813)), _u16814) = hAPP(hAPP(c_List_Oappend(_u16811), _u16812), hAPP(hAPP(c_List_Oappend(_u16811), _u16813), _u16814))) )).
% 43.40/43.65 cnf(matrix-7073, plain, ( ( hAPP(c_List_Oset(_u16815), hAPP(hAPP(c_List_Oappend(_u16815), _u16816), _u16817)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u16815, tc_HOL_Obool)), hAPP(c_List_Oset(_u16815), _u16816)), hAPP(c_List_Oset(_u16815), _u16817))) )).
% 43.40/43.65 cnf(matrix-7074, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16818)), _u16819) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16820)), _u16821)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16818)), _u16822) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16820)), _u16823)) | ( hAPP(hAPP(c_List_Ozip(_u16818, _u16820), hAPP(hAPP(c_List_Oappend(_u16818), _u16819), _u16822)), hAPP(hAPP(c_List_Oappend(_u16820), _u16821), _u16823)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u16818, _u16820)), hAPP(hAPP(c_List_Ozip(_u16818, _u16820), _u16819), _u16821)), hAPP(hAPP(c_List_Ozip(_u16818, _u16820), _u16822), _u16823))) )).
% 43.40/43.65 cnf(matrix-7075, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16824)), hAPP(hAPP(c_List_Oappend(_u16824), _u16825), _u16826)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16824)), _u16825)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16824)), _u16826))) )).
% 43.40/43.65 cnf(matrix-7076, plain, ( ~class_Groups_Omonoid__add(_u16827) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u16827), hAPP(hAPP(c_List_Oappend(_u16827), _u16828), _u16829)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u16827), hAPP(c_List_Omonoid__add__class_Olistsum(_u16827), _u16828)), hAPP(c_List_Omonoid__add__class_Olistsum(_u16827), _u16829))) )).
% 43.40/43.65 cnf(matrix-7077, plain, ( ( _u16833 != c_List_Olist_ONil(_u16835)) | ( c_List_Obutlast(_u16835, hAPP(hAPP(c_List_Oappend(_u16835), _u16837), _u16833)) = c_List_Obutlast(_u16835, _u16837)) )).
% 43.40/43.65 cnf(matrix-7078, plain, ( ( _u16834 = c_List_Olist_ONil(_u16836)) | ( c_List_Obutlast(_u16836, hAPP(hAPP(c_List_Oappend(_u16836), _u16838), _u16834)) = hAPP(hAPP(c_List_Oappend(_u16836), _u16838), c_List_Obutlast(_u16836, _u16834))) )).
% 43.40/43.65 cnf(matrix-7079, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16839), c_List_Olist_ONil(_u16839)), _u16840) = _u16840) )).
% 43.40/43.65 cnf(matrix-7080, plain, ( ( c_List_Olist_ONil(_u16844) != hAPP(hAPP(c_List_Oappend(_u16844), _u16846), _u16848)) | ( _u16846 = c_List_Olist_ONil(_u16844)) )).
% 43.40/43.65 cnf(matrix-7081, plain, ( ( c_List_Olist_ONil(_u16844) != hAPP(hAPP(c_List_Oappend(_u16844), _u16846), _u16848)) | ( _u16848 = c_List_Olist_ONil(_u16844)) )).
% 43.40/43.65 cnf(matrix-7082, plain, ( ( _u16847 != c_List_Olist_ONil(_u16845)) | ( _u16849 != c_List_Olist_ONil(_u16845)) | ( c_List_Olist_ONil(_u16845) = hAPP(hAPP(c_List_Oappend(_u16845), _u16847), _u16849)) )).
% 43.40/43.65 cnf(matrix-7083, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16850), _u16851), c_List_Olist_ONil(_u16850)) = _u16851) )).
% 43.40/43.65 cnf(matrix-7084, plain, ( ( _u16859 = c_List_Olist_ONil(_u16857)) | ( _u16855 != hAPP(hAPP(c_List_Oappend(_u16857), _u16855), _u16859)) )).
% 43.40/43.65 cnf(matrix-7085, plain, ( ( _u16860 != c_List_Olist_ONil(_u16858)) | ( _u16856 = hAPP(hAPP(c_List_Oappend(_u16858), _u16856), _u16860)) )).
% 43.40/43.65 cnf(matrix-7086, plain, ( ( _u16868 = c_List_Olist_ONil(_u16866)) | ( _u16864 != hAPP(hAPP(c_List_Oappend(_u16866), _u16868), _u16864)) )).
% 43.40/43.65 cnf(matrix-7087, plain, ( ( _u16869 != c_List_Olist_ONil(_u16867)) | ( _u16865 = hAPP(hAPP(c_List_Oappend(_u16867), _u16869), _u16865)) )).
% 43.40/43.65 cnf(matrix-7088, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16873), _u16875), _u16877) != c_List_Olist_ONil(_u16873)) | ( _u16875 = c_List_Olist_ONil(_u16873)) )).
% 43.40/43.65 cnf(matrix-7089, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16873), _u16875), _u16877) != c_List_Olist_ONil(_u16873)) | ( _u16877 = c_List_Olist_ONil(_u16873)) )).
% 43.40/43.65 cnf(matrix-7090, plain, ( ( _u16876 != c_List_Olist_ONil(_u16874)) | ( _u16878 != c_List_Olist_ONil(_u16874)) | ( hAPP(hAPP(c_List_Oappend(_u16874), _u16876), _u16878) = c_List_Olist_ONil(_u16874)) )).
% 43.40/43.65 cnf(matrix-7091, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16882), _u16884), _u16886) != _u16884) | ( _u16886 = c_List_Olist_ONil(_u16882)) )).
% 43.40/43.65 cnf(matrix-7092, plain, ( ( _u16887 != c_List_Olist_ONil(_u16883)) | ( hAPP(hAPP(c_List_Oappend(_u16883), _u16885), _u16887) = _u16885) )).
% 43.40/43.65 cnf(matrix-7093, plain, ( ( hAPP(hAPP(c_List_Oappend(_u16891), _u16893), _u16895) != _u16895) | ( _u16893 = c_List_Olist_ONil(_u16891)) )).
% 43.40/43.65 cnf(matrix-7094, plain, ( ( _u16894 != c_List_Olist_ONil(_u16892)) | ( hAPP(hAPP(c_List_Oappend(_u16892), _u16894), _u16896) = _u16896) )).
% 43.40/43.65 cnf(matrix-7095, plain, ( ( _u16897 != _u16898) | ( _u16897 = hAPP(hAPP(c_List_Oappend(_u16899), c_List_Olist_ONil(_u16899)), _u16898)) )).
% 43.40/43.65 cnf(matrix-7096, plain, ( ( hAPP(hAPP(c_List_Onth(_u16900), hAPP(hAPP(c_List_Oappend(_u16900), _u16901), hAPP(hAPP(c_List_Olist_OCons(_u16900), _u16902), _u16903))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16900)), _u16901)) = _u16902) )).
% 43.40/43.65 cnf(matrix-7097, plain, ( ( hAPP(hAPP(c_List_Onth(_u16904), hAPP(hAPP(c_List_Oappend(_u16904), _u16905), _u16906)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16904)), _u16905)), _u16907)) = hAPP(hAPP(c_List_Onth(_u16904), _u16906), _u16907)) )).
% 43.40/43.65 cnf(matrix-7098, plain, ( ( hAPP(hAPP(c_List_Otake(_u16908), _u16909), hAPP(hAPP(c_List_Oappend(_u16908), _u16910), _u16911)) = hAPP(hAPP(c_List_Oappend(_u16908), hAPP(hAPP(c_List_Otake(_u16908), _u16909), _u16910)), hAPP(hAPP(c_List_Otake(_u16908), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16909), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16908)), _u16910))), _u16911))) )).
% 43.40/43.65 cnf(matrix-7099, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16912), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16913)), _u16914))) | ( hAPP(hAPP(c_List_Olist__update(_u16913, hAPP(hAPP(c_List_Oappend(_u16913), _u16914), _u16915)), _u16912), _u16916) = hAPP(hAPP(c_List_Oappend(_u16913), hAPP(hAPP(c_List_Olist__update(_u16913, _u16914), _u16912), _u16916)), _u16915)) )).
% 43.40/43.65 cnf(matrix-7100, plain, ( ( hAPP(hAPP(c_List_Olist__update(_u16917, hAPP(hAPP(c_List_Oappend(_u16917), _u16918), hAPP(hAPP(c_List_Olist_OCons(_u16917), _u16919), _u16920))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16917)), _u16918)), _u16921) = hAPP(hAPP(c_List_Oappend(_u16917), _u16918), hAPP(hAPP(c_List_Olist_OCons(_u16917), _u16921), _u16920))) )).
% 43.40/43.65 cnf(matrix-7101, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u16926), _u16928), hAPP(c_List_Oset(_u16926), _u16930))) | ( c_List_Oremove1(_u16926, _u16928, hAPP(hAPP(c_List_Oappend(_u16926), _u16930), _u16932)) = hAPP(hAPP(c_List_Oappend(_u16926), c_List_Oremove1(_u16926, _u16928, _u16930)), _u16932)) )).
% 43.40/43.65 cnf(matrix-7102, plain, ( hBOOL(hAPP(hAPP(c_member(_u16927), _u16929), hAPP(c_List_Oset(_u16927), _u16931))) | ( c_List_Oremove1(_u16927, _u16929, hAPP(hAPP(c_List_Oappend(_u16927), _u16931), _u16933)) = hAPP(hAPP(c_List_Oappend(_u16927), _u16931), c_List_Oremove1(_u16927, _u16929, _u16933))) )).
% 43.40/43.65 cnf(matrix-7103, plain, ( hBOOL(hAPP(hAPP(c_member(_u16934), _u16935), hAPP(c_List_Oset(_u16934), c_List_Obutlast(_u16934, hAPP(hAPP(c_List_Oappend(_u16934), _u16936), _u16937))))) | ~hBOOL(hAPP(hAPP(c_member(_u16934), _u16935), hAPP(c_List_Oset(_u16934), c_List_Obutlast(_u16934, _u16936)))) )).
% 43.40/43.65 cnf(matrix-7104, plain, ( hBOOL(hAPP(hAPP(c_member(_u16934), _u16935), hAPP(c_List_Oset(_u16934), c_List_Obutlast(_u16934, hAPP(hAPP(c_List_Oappend(_u16934), _u16936), _u16937))))) | ~hBOOL(hAPP(hAPP(c_member(_u16934), _u16935), hAPP(c_List_Oset(_u16934), c_List_Obutlast(_u16934, _u16937)))) )).
% 43.40/43.65 cnf(matrix-7105, plain, ( ( c_List_Obutlast(_u16938, hAPP(hAPP(c_List_Oappend(_u16938), _u16939), hAPP(hAPP(c_List_Olist_OCons(_u16938), _u16940), c_List_Olist_ONil(_u16938)))) = _u16939) )).
% 43.40/43.65 cnf(matrix-7106, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16941), tc_List_Olist(_u16941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16941), tc_List_Olist(_u16941)), hAPP(hAPP(c_List_Oappend(_u16941), _u16942), _u16945)), hAPP(hAPP(c_List_Oappend(_u16941), _u16943), _u16946))), c_List_Olistrel1(_u16941, _u16944))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16941), tc_List_Olist(_u16941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16941), tc_List_Olist(_u16941)), _u16942), _u16943)), c_List_Olistrel1(_u16941, _u16944))) | ( _u16945 != _u16946) )).
% 43.40/43.65 cnf(matrix-7107, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16941), tc_List_Olist(_u16941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16941), tc_List_Olist(_u16941)), hAPP(hAPP(c_List_Oappend(_u16941), _u16942), _u16945)), hAPP(hAPP(c_List_Oappend(_u16941), _u16943), _u16946))), c_List_Olistrel1(_u16941, _u16944))) | ( _u16942 != _u16943) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16941), tc_List_Olist(_u16941))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16941), tc_List_Olist(_u16941)), _u16945), _u16946)), c_List_Olistrel1(_u16941, _u16944))) )).
% 43.40/43.65 cnf(matrix-7108, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16947), tc_List_Olist(_u16947))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16947), tc_List_Olist(_u16947)), _u16948), _u16949)), c_List_Olexord(_u16947, _u16950))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16947), tc_List_Olist(_u16947))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16947), tc_List_Olist(_u16947)), hAPP(hAPP(c_List_Oappend(_u16947), _u16951), _u16948)), hAPP(hAPP(c_List_Oappend(_u16947), _u16951), _u16949))), c_List_Olexord(_u16947, _u16950))) )).
% 43.40/43.65 cnf(matrix-7109, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16955), hAPP(hAPP(c_List_Oappend(_u16955), _u16957), _u16959))) | hBOOL(hAPP(c_List_Odistinct(_u16955), _u16957)) )).
% 43.40/43.65 cnf(matrix-7110, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16955), hAPP(hAPP(c_List_Oappend(_u16955), _u16957), _u16959))) | hBOOL(hAPP(c_List_Odistinct(_u16955), _u16959)) )).
% 43.40/43.65 cnf(matrix-7111, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16955), hAPP(hAPP(c_List_Oappend(_u16955), _u16957), _u16959))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16955, tc_HOL_Obool)), hAPP(c_List_Oset(_u16955), _u16957)), hAPP(c_List_Oset(_u16955), _u16959)) = c_Orderings_Obot__class_Obot(tc_fun(_u16955, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-7112, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u16956), _u16958)) | ~hBOOL(hAPP(c_List_Odistinct(_u16956), _u16960)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u16956, tc_HOL_Obool)), hAPP(c_List_Oset(_u16956), _u16958)), hAPP(c_List_Oset(_u16956), _u16960)) != c_Orderings_Obot__class_Obot(tc_fun(_u16956, tc_HOL_Obool))) | hBOOL(hAPP(c_List_Odistinct(_u16956), hAPP(hAPP(c_List_Oappend(_u16956), _u16958), _u16960))) )).
% 43.40/43.65 cnf(matrix-7113, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16965), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16967)), _u16969))) | ( hAPP(hAPP(c_List_Onth(_u16967), hAPP(hAPP(c_List_Oappend(_u16967), _u16969), _u16971)), _u16965) = hAPP(hAPP(c_List_Onth(_u16967), _u16969), _u16965)) )).
% 43.40/43.65 cnf(matrix-7114, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16966), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16968)), _u16970))) | ( hAPP(hAPP(c_List_Onth(_u16968), hAPP(hAPP(c_List_Oappend(_u16968), _u16970), _u16972)), _u16966) = hAPP(hAPP(c_List_Onth(_u16968), _u16972), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16966), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16968)), _u16970)))) )).
% 43.40/43.65 cnf(matrix-7115, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16978), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16980)), _u16982))) | ( hAPP(hAPP(c_List_Olist__update(_u16980, hAPP(hAPP(c_List_Oappend(_u16980), _u16982), _u16984)), _u16978), _u16986) = hAPP(hAPP(c_List_Oappend(_u16980), hAPP(hAPP(c_List_Olist__update(_u16980, _u16982), _u16978), _u16986)), _u16984)) )).
% 43.40/43.65 cnf(matrix-7116, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u16979), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16981)), _u16983))) | ( hAPP(hAPP(c_List_Olist__update(_u16981, hAPP(hAPP(c_List_Oappend(_u16981), _u16983), _u16985)), _u16979), _u16987) = hAPP(hAPP(c_List_Oappend(_u16981), _u16983), hAPP(hAPP(c_List_Olist__update(_u16981, _u16985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u16979), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u16981)), _u16983))), _u16987))) )).
% 43.40/43.65 cnf(matrix-7117, plain, ( ( c_List_Osublist(_u16988, hAPP(hAPP(c_List_Oappend(_u16988), _u16989), _u16990), _u16991) = hAPP(hAPP(c_List_Oappend(_u16988), c_List_Osublist(_u16988, _u16989, _u16991)), c_List_Osublist(_u16988, _u16990, 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(_u16988)), _u16989)))), _u16991))))) )).
% 43.40/43.65 cnf(matrix-7118, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u16992, _u16992)), hAPP(hAPP(c_Product__Type_OPair(_u16992, _u16992), _u16993), _u16994)), _u16995)) | ( _u16996 != hAPP(hAPP(c_List_Oappend(_u16992), _u16997), hAPP(hAPP(c_List_Olist_OCons(_u16992), _u16993), _u16998))) | ( _u16999 != hAPP(hAPP(c_List_Oappend(_u16992), _u16997), hAPP(hAPP(c_List_Olist_OCons(_u16992), _u16994), _u16998))) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u16992), tc_List_Olist(_u16992))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u16992), tc_List_Olist(_u16992)), _u16996), _u16999)), c_List_Olistrel1(_u16992, _u16995))) )).
% 43.40/43.65 cnf(matrix-7119, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u17000, _u17000)), hAPP(hAPP(c_Product__Type_OPair(_u17000, _u17000), _u17001), _u17002)), _u17003)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17000), tc_List_Olist(_u17000))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17000), tc_List_Olist(_u17000)), hAPP(hAPP(c_List_Oappend(_u17000), _u17004), hAPP(hAPP(c_List_Olist_OCons(_u17000), _u17001), _u17005))), hAPP(hAPP(c_List_Oappend(_u17000), _u17004), hAPP(hAPP(c_List_Olist_OCons(_u17000), _u17002), _u17006)))), c_List_Olexord(_u17000, _u17003))) )).
% 43.40/43.65 cnf(matrix-7120, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17007), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17008)), _u17009))) | ( hAPP(hAPP(c_List_Otake(_u17008), hAPP(c_Nat_OSuc, _u17007)), _u17009) = hAPP(hAPP(c_List_Oappend(_u17008), hAPP(hAPP(c_List_Otake(_u17008), _u17007), _u17009)), hAPP(hAPP(c_List_Olist_OCons(_u17008), hAPP(hAPP(c_List_Onth(_u17008), _u17009), _u17007)), c_List_Olist_ONil(_u17008)))) )).
% 43.40/43.65 cnf(matrix-7121, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17014), tc_List_Olist(_u17014))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17014), tc_List_Olist(_u17014)), _u17015), _u17016)), c_List_Olistrel1(_u17014, _u17017))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17014, _u17014)), hAPP(hAPP(c_Product__Type_OPair(_u17014, _u17014), skolem448(_u17017, _u17016, _u17015, _u17014)), skolem449(_u17017, _u17016, _u17015, _u17014))), _u17017)) )).
% 43.40/43.65 cnf(matrix-7122, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17014), tc_List_Olist(_u17014))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17014), tc_List_Olist(_u17014)), _u17015), _u17016)), c_List_Olistrel1(_u17014, _u17017))) | ( _u17015 = hAPP(hAPP(c_List_Oappend(_u17014), skolem450(_u17017, _u17016, _u17015, _u17014)), hAPP(hAPP(c_List_Olist_OCons(_u17014), skolem448(_u17017, _u17016, _u17015, _u17014)), skolem451(_u17017, _u17016, _u17015, _u17014)))) )).
% 43.40/43.65 cnf(matrix-7123, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17014), tc_List_Olist(_u17014))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17014), tc_List_Olist(_u17014)), _u17015), _u17016)), c_List_Olistrel1(_u17014, _u17017))) | ( _u17016 = hAPP(hAPP(c_List_Oappend(_u17014), skolem450(_u17017, _u17016, _u17015, _u17014)), hAPP(hAPP(c_List_Olist_OCons(_u17014), skolem449(_u17017, _u17016, _u17015, _u17014)), skolem451(_u17017, _u17016, _u17015, _u17014)))) )).
% 43.40/43.65 cnf(matrix-7124, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17019), tc_List_Olist(_u17019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17019), tc_List_Olist(_u17019)), hAPP(hAPP(c_List_Oappend(_u17019), _u17020), _u17021)), hAPP(hAPP(c_List_Oappend(_u17019), _u17020), _u17022))), c_List_Olexord(_u17019, _u17023))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u17019, _u17019)), hAPP(hAPP(c_Product__Type_OPair(_u17019, _u17019), skolem452(_u17023, _u17022, _u17021, _u17020, _u17019)), skolem452(_u17023, _u17022, _u17021, _u17020, _u17019))), _u17023)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17019), tc_List_Olist(_u17019))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17019), tc_List_Olist(_u17019)), _u17021), _u17022)), c_List_Olexord(_u17019, _u17023))) )).
% 43.40/43.65 cnf(matrix-7125, plain, ( ( hAPP(c_List_Orotate1(_u17024), _u17025) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17024), _u17024, c_List_Olist_ONil(_u17024), hAPP(hAPP(c_COMBB(tc_List_Olist(_u17024), tc_fun(tc_List_Olist(_u17024), tc_List_Olist(_u17024)), _u17024), hAPP(c_COMBC(tc_List_Olist(_u17024), tc_List_Olist(_u17024), tc_List_Olist(_u17024)), c_List_Oappend(_u17024))), hAPP(hAPP(c_COMBC(_u17024, tc_List_Olist(_u17024), tc_List_Olist(_u17024)), c_List_Olist_OCons(_u17024)), c_List_Olist_ONil(_u17024)))), _u17025)) )).
% 43.40/43.65 cnf(matrix-7126, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17026), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17027)), _u17028))) | ( hAPP(hAPP(c_List_Olist__update(_u17027, _u17028), _u17026), _u17029) = hAPP(hAPP(c_List_Oappend(_u17027), hAPP(hAPP(c_List_Otake(_u17027), _u17026), _u17028)), hAPP(hAPP(c_List_Olist_OCons(_u17027), _u17029), hAPP(hAPP(c_List_Odrop(_u17027), hAPP(c_Nat_OSuc, _u17026)), _u17028)))) )).
% 43.40/43.65 cnf(matrix-7127, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17030), hAPP(hAPP(c_List_Otake(_u17030), _u17031), _u17032)), hAPP(hAPP(c_List_Odrop(_u17030), _u17031), _u17032)) = _u17032) )).
% 43.40/43.65 cnf(matrix-7128, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17033), hAPP(c_Nat_OSuc, _u17034)), hAPP(hAPP(c_List_Olist_OCons(_u17033), _u17035), _u17036)) = hAPP(hAPP(c_List_Odrop(_u17033), _u17034), _u17036)) )).
% 43.40/43.65 cnf(matrix-7129, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17037), c_Groups_Oone__class_Oone(tc_Nat_Onat)), hAPP(hAPP(c_List_Olist_OCons(_u17037), _u17038), _u17039)) = _u17039) )).
% 43.40/43.65 cnf(matrix-7130, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17040), _u17041), _u17042) != hAPP(hAPP(c_List_Olist_OCons(_u17040), _u17043), _u17044)) | ( hAPP(hAPP(c_List_Onth(_u17040), _u17042), _u17041) = _u17043) )).
% 43.40/43.65 cnf(matrix-7131, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17045), _u17046)) | hBOOL(hAPP(c_List_Odistinct(_u17045), hAPP(hAPP(c_List_Odrop(_u17045), _u17047), _u17046))) )).
% 43.40/43.65 cnf(matrix-7132, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17050), hAPP(c_List_Orotate1(_u17050), _u17052))) | hBOOL(hAPP(c_List_Odistinct(_u17050), _u17052)) )).
% 43.40/43.65 cnf(matrix-7133, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17051), _u17053)) | hBOOL(hAPP(c_List_Odistinct(_u17051), hAPP(c_List_Orotate1(_u17051), _u17053))) )).
% 43.40/43.65 cnf(matrix-7134, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_prod(_u17054, _u17055)), _u17056), hAPP(hAPP(c_List_Ozip(_u17054, _u17055), _u17057), _u17058)) = hAPP(hAPP(c_List_Ozip(_u17054, _u17055), hAPP(hAPP(c_List_Odrop(_u17054), _u17056), _u17057)), hAPP(hAPP(c_List_Odrop(_u17055), _u17056), _u17058))) )).
% 43.40/43.65 cnf(matrix-7135, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17059), _u17060), hAPP(hAPP(c_List_Odrop(_u17059), _u17061), _u17062)) = hAPP(hAPP(c_List_Odrop(_u17059), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17060), _u17061)), _u17062)) )).
% 43.40/43.65 cnf(matrix-7136, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17063), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), _u17064) = _u17064) )).
% 43.40/43.65 cnf(matrix-7137, plain, ( ( hAPP(hAPP(c_List_Otake(_u17065), _u17066), hAPP(hAPP(c_List_Odrop(_u17065), _u17067), _u17068)) = hAPP(hAPP(c_List_Odrop(_u17065), _u17067), hAPP(hAPP(c_List_Otake(_u17065), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17066), _u17067)), _u17068))) )).
% 43.40/43.65 cnf(matrix-7138, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17069), _u17070), hAPP(hAPP(c_List_Otake(_u17069), _u17071), _u17072)) = hAPP(hAPP(c_List_Otake(_u17069), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17071), _u17070)), hAPP(hAPP(c_List_Odrop(_u17069), _u17070), _u17072))) )).
% 43.40/43.65 cnf(matrix-7139, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u17073), _u17074), hAPP(c_List_Oset(_u17073), hAPP(hAPP(c_List_Odrop(_u17073), _u17075), _u17076)))) | hBOOL(hAPP(hAPP(c_member(_u17073), _u17074), hAPP(c_List_Oset(_u17073), _u17076))) )).
% 43.40/43.65 cnf(matrix-7140, plain, ( ( hAPP(c_List_Oset(_u17077), hAPP(c_List_Orotate1(_u17077), _u17078)) = hAPP(c_List_Oset(_u17077), _u17078)) )).
% 43.40/43.65 cnf(matrix-7141, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17079, tc_HOL_Obool)), hAPP(c_List_Oset(_u17079), hAPP(hAPP(c_List_Odrop(_u17079), _u17080), _u17081))), hAPP(c_List_Oset(_u17079), _u17081))) )).
% 43.40/43.65 cnf(matrix-7142, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17082)), hAPP(c_List_Orotate1(_u17082), _u17083)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17082)), _u17083)) )).
% 43.40/43.65 cnf(matrix-7143, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17084)), hAPP(hAPP(c_List_Odrop(_u17084), _u17085), _u17086)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17084)), _u17086)), _u17085)) )).
% 43.40/43.65 cnf(matrix-7144, plain, ( ( c_List_Obutlast(_u17087, hAPP(hAPP(c_List_Odrop(_u17087), _u17088), _u17089)) = hAPP(hAPP(c_List_Odrop(_u17087), _u17088), c_List_Obutlast(_u17087, _u17089))) )).
% 43.40/43.65 cnf(matrix-7145, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17090), _u17091), c_List_Obutlast(_u17090, _u17092)) = c_List_Obutlast(_u17090, hAPP(hAPP(c_List_Odrop(_u17090), _u17091), _u17092))) )).
% 43.40/43.65 cnf(matrix-7146, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17093), _u17094), c_List_Olist_ONil(_u17093)) = c_List_Olist_ONil(_u17093)) )).
% 43.40/43.65 cnf(matrix-7147, plain, ( ( hAPP(c_List_Orotate1(_u17097), _u17099) != c_List_Olist_ONil(_u17097)) | ( _u17099 = c_List_Olist_ONil(_u17097)) )).
% 43.40/43.65 cnf(matrix-7148, plain, ( ( _u17100 != c_List_Olist_ONil(_u17098)) | ( hAPP(c_List_Orotate1(_u17098), _u17100) = c_List_Olist_ONil(_u17098)) )).
% 43.40/43.65 cnf(matrix-7149, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17101), _u17102)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u17103, tc_HOL_Obool)), hAPP(c_List_Oset(_u17103), hAPP(hAPP(c_List_Odrop(_u17103), _u17102), _u17104))), hAPP(c_List_Oset(_u17103), hAPP(hAPP(c_List_Odrop(_u17103), _u17101), _u17104)))) )).
% 43.40/43.65 cnf(matrix-7150, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17105)), _u17106)), _u17107)) | ( hAPP(hAPP(c_List_Odrop(_u17105), _u17107), _u17106) = c_List_Olist_ONil(_u17105)) )).
% 43.40/43.65 cnf(matrix-7151, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17111), _u17113), _u17115) != c_List_Olist_ONil(_u17111)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17111)), _u17115)), _u17113)) )).
% 43.40/43.65 cnf(matrix-7152, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17112)), _u17116)), _u17114)) | ( hAPP(hAPP(c_List_Odrop(_u17112), _u17114), _u17116) = c_List_Olist_ONil(_u17112)) )).
% 43.40/43.65 cnf(matrix-7153, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17117), _u17118), hAPP(hAPP(c_List_Oappend(_u17117), _u17119), _u17120)) = hAPP(hAPP(c_List_Oappend(_u17117), hAPP(hAPP(c_List_Odrop(_u17117), _u17118), _u17119)), hAPP(hAPP(c_List_Odrop(_u17117), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17118), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17117)), _u17119))), _u17120))) )).
% 43.40/43.65 cnf(matrix-7154, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17125), _u17127), _u17129) != _u17131) | ( _u17127 = hAPP(hAPP(c_List_Otake(_u17125), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17127)), _u17131)) )).
% 43.40/43.65 cnf(matrix-7155, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17125), _u17127), _u17129) != _u17131) | ( _u17129 = hAPP(hAPP(c_List_Odrop(_u17125), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17125)), _u17127)), _u17131)) )).
% 43.40/43.65 cnf(matrix-7156, plain, ( ( _u17128 != hAPP(hAPP(c_List_Otake(_u17126), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17128)), _u17132)) | ( _u17130 != hAPP(hAPP(c_List_Odrop(_u17126), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17126)), _u17128)), _u17132)) | ( hAPP(hAPP(c_List_Oappend(_u17126), _u17128), _u17130) = _u17132) )).
% 43.40/43.65 cnf(matrix-7157, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17133), _u17134), hAPP(hAPP(c_List_Olist_OCons(_u17133), _u17135), _u17136)) = c_Nat_Onat_Onat__case(tc_List_Olist(_u17133), hAPP(hAPP(c_List_Olist_OCons(_u17133), _u17135), _u17136), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(_u17133), tc_List_Olist(_u17133)), c_List_Odrop(_u17133)), _u17136), _u17134)) )).
% 43.40/43.65 cnf(matrix-7158, plain, ( ( _u17141 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17143), _u17141), hAPP(hAPP(c_List_Olist_OCons(_u17143), _u17145), _u17147)) = hAPP(hAPP(c_List_Olist_OCons(_u17143), _u17145), _u17147)) )).
% 43.40/43.65 cnf(matrix-7159, plain, ( ( _u17142 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17144), _u17142), hAPP(hAPP(c_List_Olist_OCons(_u17144), _u17146), _u17148)) = hAPP(hAPP(c_List_Odrop(_u17144), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17142), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17148)) )).
% 43.40/43.65 cnf(matrix-7160, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17149), _u17150)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17151)), _u17152))) | ( hAPP(hAPP(c_List_Onth(_u17151), hAPP(hAPP(c_List_Odrop(_u17151), _u17149), _u17152)), _u17150) = hAPP(hAPP(c_List_Onth(_u17151), _u17152), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17149), _u17150))) )).
% 43.40/43.65 cnf(matrix-7161, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17158), _u17160), _u17162) != hAPP(hAPP(c_List_Oappend(_u17158), _u17164), _u17166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164))) | ( _u17160 = hAPP(hAPP(c_List_Otake(_u17158), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), _u17164)) )).
% 43.40/43.65 cnf(matrix-7162, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17158), _u17160), _u17162) != hAPP(hAPP(c_List_Oappend(_u17158), _u17164), _u17166)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164))) | ( _u17162 = hAPP(hAPP(c_List_Oappend(_u17158), hAPP(hAPP(c_List_Odrop(_u17158), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), _u17164)), _u17166)) )).
% 43.40/43.65 cnf(matrix-7163, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17158), _u17160), _u17162) != hAPP(hAPP(c_List_Oappend(_u17158), _u17164), _u17166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164))) | ( hAPP(hAPP(c_List_Otake(_u17158), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164)), _u17160) = _u17164) )).
% 43.40/43.65 cnf(matrix-7164, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17158), _u17160), _u17162) != hAPP(hAPP(c_List_Oappend(_u17158), _u17164), _u17166)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17160)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164))) | ( hAPP(hAPP(c_List_Oappend(_u17158), hAPP(hAPP(c_List_Odrop(_u17158), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17158)), _u17164)), _u17160)), _u17162) = _u17166) )).
% 43.40/43.65 cnf(matrix-7165, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17159), _u17161), _u17163) = hAPP(hAPP(c_List_Oappend(_u17159), _u17165), _u17167)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165))) | ( hAPP(hAPP(c_List_Otake(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165)), _u17161) != _u17165) | ( hAPP(hAPP(c_List_Oappend(_u17159), hAPP(hAPP(c_List_Odrop(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165)), _u17161)), _u17163) != _u17167) )).
% 43.40/43.65 cnf(matrix-7166, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17159), _u17161), _u17163) = hAPP(hAPP(c_List_Oappend(_u17159), _u17165), _u17167)) | ( _u17161 != hAPP(hAPP(c_List_Otake(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), _u17165)) | ( _u17163 != hAPP(hAPP(c_List_Oappend(_u17159), hAPP(hAPP(c_List_Odrop(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), _u17165)), _u17167)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165))) )).
% 43.40/43.65 cnf(matrix-7167, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17159), _u17161), _u17163) = hAPP(hAPP(c_List_Oappend(_u17159), _u17165), _u17167)) | ( _u17161 != hAPP(hAPP(c_List_Otake(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), _u17165)) | ( _u17163 != hAPP(hAPP(c_List_Oappend(_u17159), hAPP(hAPP(c_List_Odrop(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17161)), _u17165)), _u17167)) | ( hAPP(hAPP(c_List_Otake(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165)), _u17161) != _u17165) | ( hAPP(hAPP(c_List_Oappend(_u17159), hAPP(hAPP(c_List_Odrop(_u17159), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17159)), _u17165)), _u17161)), _u17163) != _u17167) )).
% 43.40/43.65 cnf(matrix-7168, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17168), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17169)), _u17170))) | ( hAPP(hAPP(c_List_Olist_OCons(_u17169), hAPP(hAPP(c_List_Onth(_u17169), _u17170), _u17168)), hAPP(hAPP(c_List_Odrop(_u17169), hAPP(c_Nat_OSuc, _u17168)), _u17170)) = hAPP(hAPP(c_List_Odrop(_u17169), _u17168), _u17170)) )).
% 43.40/43.65 cnf(matrix-7169, plain, ( ( hAPP(c_List_Orotate1(_u17171), c_List_Olist_ONil(_u17171)) = c_List_Olist_ONil(_u17171)) )).
% 43.40/43.65 cnf(matrix-7170, plain, ( ( hAPP(c_List_Orotate1(_u17172), hAPP(hAPP(c_List_Olist_OCons(_u17172), _u17173), _u17174)) = hAPP(hAPP(c_List_Oappend(_u17172), _u17174), hAPP(hAPP(c_List_Olist_OCons(_u17172), _u17173), c_List_Olist_ONil(_u17172)))) )).
% 43.40/43.65 cnf(matrix-7171, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17179) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17181), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17179)), hAPP(hAPP(c_List_Olist_OCons(_u17181), _u17183), _u17185)) = hAPP(hAPP(c_List_Olist_OCons(_u17181), _u17183), _u17185)) )).
% 43.40/43.65 cnf(matrix-7172, plain, ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17180) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(hAPP(c_List_Odrop(_u17182), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17180)), hAPP(hAPP(c_List_Olist_OCons(_u17182), _u17184), _u17186)) = hAPP(hAPP(c_List_Odrop(_u17182), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17180)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u17186)) )).
% 43.40/43.65 cnf(matrix-7173, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17187), _u17188)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17189)), _u17190))) | ( hAPP(hAPP(c_List_Otake(_u17189), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17187), _u17188)), _u17190) = hAPP(hAPP(c_List_Oappend(_u17189), hAPP(hAPP(c_List_Otake(_u17189), _u17187), _u17190)), hAPP(hAPP(c_List_Otake(_u17189), _u17188), hAPP(hAPP(c_List_Odrop(_u17189), _u17187), _u17190)))) )).
% 43.40/43.65 cnf(matrix-7174, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17191)), _u17192)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate1(_u17191), _u17192) = _u17192) )).
% 43.40/43.65 cnf(matrix-7175, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17193, _u17194), _u17195), hAPP(hAPP(c_List_Oappend(_u17194), _u17196), _u17197)) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17193, _u17194)), hAPP(hAPP(c_List_Ozip(_u17193, _u17194), hAPP(hAPP(c_List_Otake(_u17193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17194)), _u17196)), _u17195)), _u17196)), hAPP(hAPP(c_List_Ozip(_u17193, _u17194), hAPP(hAPP(c_List_Odrop(_u17193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17194)), _u17196)), _u17195)), _u17197))) )).
% 43.40/43.65 cnf(matrix-7176, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17198, _u17199), hAPP(hAPP(c_List_Oappend(_u17198), _u17200), _u17201)), _u17202) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17198, _u17199)), hAPP(hAPP(c_List_Ozip(_u17198, _u17199), _u17200), hAPP(hAPP(c_List_Otake(_u17199), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17198)), _u17200)), _u17202))), hAPP(hAPP(c_List_Ozip(_u17198, _u17199), _u17201), hAPP(hAPP(c_List_Odrop(_u17199), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17198)), _u17200)), _u17202)))) )).
% 43.40/43.65 cnf(matrix-7177, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17203), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17204)), _u17205))) | ( _u17205 = hAPP(hAPP(c_List_Oappend(_u17204), hAPP(hAPP(c_List_Otake(_u17204), _u17203), _u17205)), hAPP(hAPP(c_List_Olist_OCons(_u17204), hAPP(hAPP(c_List_Onth(_u17204), _u17205), _u17203)), hAPP(hAPP(c_List_Odrop(_u17204), hAPP(c_Nat_OSuc, _u17203)), _u17205)))) )).
% 43.40/43.65 cnf(matrix-7178, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17206), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17207)), _u17208))) | ( hAPP(hAPP(c_List_Oappend(_u17207), hAPP(hAPP(c_List_Otake(_u17207), _u17206), _u17208)), hAPP(hAPP(c_List_Olist_OCons(_u17207), hAPP(c_List_Ohd(_u17207), hAPP(hAPP(c_List_Odrop(_u17207), _u17206), _u17208))), c_List_Olist_ONil(_u17207))) = hAPP(hAPP(c_List_Otake(_u17207), hAPP(c_Nat_OSuc, _u17206)), _u17208)) )).
% 43.40/43.65 cnf(matrix-7179, plain, ( ( _u17209 = c_List_Olist_ONil(_u17210)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17211), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17210)), _u17209))) | ( hAPP(c_List_Ohd(_u17210), hAPP(hAPP(c_List_Odrop(_u17210), _u17211), _u17209)) = hAPP(hAPP(c_List_Onth(_u17210), _u17209), _u17211)) )).
% 43.40/43.65 cnf(matrix-7180, plain, ( ( hAPP(c_List_Ohd(_u17212), hAPP(hAPP(c_List_Olist_OCons(_u17212), _u17213), _u17214)) = _u17213) )).
% 43.40/43.65 cnf(matrix-7181, plain, ( ( _u17215 = c_List_Olist_ONil(_u17216)) | ( hAPP(c_List_Ohd(_u17216), hAPP(hAPP(c_List_Oappend(_u17216), _u17215), _u17217)) = hAPP(c_List_Ohd(_u17216), _u17215)) )).
% 43.40/43.65 cnf(matrix-7182, plain, ( ( _u17221 != c_List_Olist_ONil(_u17223)) | ( hAPP(c_List_Ohd(_u17223), hAPP(hAPP(c_List_Oappend(_u17223), _u17221), _u17225)) = hAPP(c_List_Ohd(_u17223), _u17225)) )).
% 43.40/43.65 cnf(matrix-7183, plain, ( ( _u17222 = c_List_Olist_ONil(_u17224)) | ( hAPP(c_List_Ohd(_u17224), hAPP(hAPP(c_List_Oappend(_u17224), _u17222), _u17226)) = hAPP(c_List_Ohd(_u17224), _u17222)) )).
% 43.40/43.65 cnf(matrix-7184, plain, ( ( _u17227 = c_List_Olist_ONil(_u17228)) | hBOOL(hAPP(hAPP(c_member(_u17228), hAPP(c_List_Ohd(_u17228), _u17227)), hAPP(c_List_Oset(_u17228), _u17227))) )).
% 43.40/43.65 cnf(matrix-7185, plain, ( ( _u17229 = c_List_Olist_ONil(_u17230)) | ( hAPP(c_List_Ohd(_u17230), _u17229) = hAPP(hAPP(c_List_Onth(_u17230), _u17229), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.40/43.65 cnf(matrix-7186, plain, ( ( _u17231 = c_List_Olist_ONil(_u17232)) | ( hAPP(c_List_Orotate1(_u17232), _u17231) = hAPP(hAPP(c_List_Oappend(_u17232), hAPP(c_List_Otl(_u17232), _u17231)), hAPP(hAPP(c_List_Olist_OCons(_u17232), hAPP(c_List_Ohd(_u17232), _u17231)), c_List_Olist_ONil(_u17232)))) )).
% 43.40/43.65 cnf(matrix-7187, plain, ( ( _u17233 = c_List_Olist_ONil(_u17234)) | ( hAPP(c_List_Ohd(_u17234), hAPP(c_List_Orotate(_u17234, _u17235), _u17233)) = hAPP(hAPP(c_List_Onth(_u17234), _u17233), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17235, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17234)), _u17233)))) )).
% 43.40/43.65 cnf(matrix-7188, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17236), _u17237), hAPP(c_List_Otl(_u17236), _u17238)) = hAPP(c_List_Otl(_u17236), hAPP(hAPP(c_List_Odrop(_u17236), _u17237), _u17238))) )).
% 43.40/43.65 cnf(matrix-7189, plain, ( ( hAPP(c_List_Otl(_u17239), hAPP(hAPP(c_List_Odrop(_u17239), _u17240), _u17241)) = hAPP(hAPP(c_List_Odrop(_u17239), _u17240), hAPP(c_List_Otl(_u17239), _u17241))) )).
% 43.40/43.65 cnf(matrix-7190, plain, ( ( hAPP(c_List_Otl(_u17242), hAPP(hAPP(c_List_Olist_OCons(_u17242), _u17243), _u17244)) = _u17244) )).
% 43.40/43.65 cnf(matrix-7191, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17245), _u17246)) | hBOOL(hAPP(c_List_Odistinct(_u17245), hAPP(c_List_Otl(_u17245), _u17246))) )).
% 43.40/43.65 cnf(matrix-7192, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17250), hAPP(c_List_Orotate(_u17250, _u17252), _u17254))) | hBOOL(hAPP(c_List_Odistinct(_u17250), _u17254)) )).
% 43.40/43.65 cnf(matrix-7193, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17251), _u17255)) | hBOOL(hAPP(c_List_Odistinct(_u17251), hAPP(c_List_Orotate(_u17251, _u17253), _u17255))) )).
% 43.40/43.65 cnf(matrix-7194, plain, ( ( c_List_Orotate(_u17256, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17257), _u17258)) = hAPP(c_Fun_Ocomp(tc_List_Olist(_u17256), tc_List_Olist(_u17256), tc_List_Olist(_u17256), c_List_Orotate(_u17256, _u17257)), c_List_Orotate(_u17256, _u17258))) )).
% 43.40/43.65 cnf(matrix-7195, plain, ( ( hAPP(c_List_Orotate(_u17259, _u17260), hAPP(c_List_Orotate(_u17259, _u17261), _u17262)) = hAPP(c_List_Orotate(_u17259, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17260), _u17261)), _u17262)) )).
% 43.40/43.65 cnf(matrix-7196, plain, ( ( c_List_Orotate(_u17263, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(_u17263))) )).
% 43.40/43.65 cnf(matrix-7197, plain, ( ( hAPP(c_List_Oset(_u17264), hAPP(c_List_Orotate(_u17264, _u17265), _u17266)) = hAPP(c_List_Oset(_u17264), _u17266)) )).
% 43.40/43.65 cnf(matrix-7198, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17267)), hAPP(c_List_Orotate(_u17267, _u17268), _u17269)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17267)), _u17269)) )).
% 43.40/43.65 cnf(matrix-7199, plain, ( ( hAPP(c_List_Otl(_u17270), c_List_Olist_ONil(_u17270)) = c_List_Olist_ONil(_u17270)) )).
% 43.40/43.65 cnf(matrix-7200, plain, ( ( hAPP(c_List_Orotate(_u17274, _u17276), _u17278) != c_List_Olist_ONil(_u17274)) | ( _u17278 = c_List_Olist_ONil(_u17274)) )).
% 43.40/43.65 cnf(matrix-7201, plain, ( ( _u17279 != c_List_Olist_ONil(_u17275)) | ( hAPP(c_List_Orotate(_u17275, _u17277), _u17279) = c_List_Olist_ONil(_u17275)) )).
% 43.40/43.65 cnf(matrix-7202, plain, ( ( hAPP(c_List_Orotate1(_u17280), hAPP(c_List_Orotate(_u17280, _u17281), _u17282)) = hAPP(c_List_Orotate(_u17280, _u17281), hAPP(c_List_Orotate1(_u17280), _u17282))) )).
% 43.40/43.65 cnf(matrix-7203, plain, ( ( c_List_Orotate(_u17283, _u17284) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(_u17283), tc_List_Olist(_u17283)), _u17284), c_List_Orotate1(_u17283))) )).
% 43.40/43.65 cnf(matrix-7204, plain, ( ( _u17285 = c_List_Olist_ONil(_u17286)) | ( hAPP(c_List_Otl(_u17286), hAPP(hAPP(c_List_Oappend(_u17286), _u17285), _u17287)) = hAPP(hAPP(c_List_Oappend(_u17286), hAPP(c_List_Otl(_u17286), _u17285)), _u17287)) )).
% 43.40/43.65 cnf(matrix-7205, plain, ( ( hAPP(hAPP(c_List_Otake(_u17288), _u17289), hAPP(c_List_Otl(_u17288), _u17290)) = hAPP(c_List_Otl(_u17288), hAPP(hAPP(c_List_Otake(_u17288), hAPP(c_Nat_OSuc, _u17289)), _u17290))) )).
% 43.40/43.65 cnf(matrix-7206, plain, ( ( hAPP(c_List_Orotate(_u17291, _u17292), _u17293) = hAPP(c_List_Orotate(_u17291, c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17292, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17291)), _u17293))), _u17293)) )).
% 43.40/43.65 cnf(matrix-7207, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17294), hAPP(c_Nat_OSuc, _u17295)), _u17296) = hAPP(hAPP(c_List_Odrop(_u17294), _u17295), hAPP(c_List_Otl(_u17294), _u17296))) )).
% 43.40/43.65 cnf(matrix-7208, plain, ( ( hAPP(c_List_Orotate(_u17297, hAPP(c_Nat_OSuc, _u17298)), _u17299) = hAPP(c_List_Orotate1(_u17297), hAPP(c_List_Orotate(_u17297, _u17298), _u17299))) )).
% 43.40/43.65 cnf(matrix-7209, plain, ( ( hAPP(c_List_Otl(_u17300), hAPP(hAPP(c_List_Oappend(_u17300), _u17301), _u17302)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(_u17300), _u17300, hAPP(c_List_Otl(_u17300), _u17302), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u17300), tc_List_Olist(_u17300)), _u17300), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17300), tc_List_Olist(_u17300), tc_List_Olist(_u17300)), c_List_Oappend(_u17300)), _u17302))), _u17301)) )).
% 43.40/43.65 cnf(matrix-7210, plain, ( ( c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17303, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17304)), _u17305)) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Orotate(_u17304, _u17303), _u17305) = _u17305) )).
% 43.40/43.65 cnf(matrix-7211, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17306)), _u17307)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( hAPP(c_List_Orotate(_u17306, _u17308), _u17307) = _u17307) )).
% 43.40/43.65 cnf(matrix-7212, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17309)), hAPP(c_List_Otl(_u17309), _u17310)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17309)), _u17310)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.40/43.65 cnf(matrix-7213, plain, ( ( hAPP(c_List_Otl(_u17311), hAPP(hAPP(c_List_Otake(_u17311), _u17312), _u17313)) = hAPP(hAPP(c_List_Otake(_u17311), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17312), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_List_Otl(_u17311), _u17313))) )).
% 43.40/43.65 cnf(matrix-7214, plain, ( ( _u17314 = c_List_Olist_ONil(_u17315)) | ( hAPP(hAPP(c_List_Otake(_u17315), hAPP(c_Nat_OSuc, _u17316)), _u17314) = hAPP(hAPP(c_List_Olist_OCons(_u17315), hAPP(c_List_Ohd(_u17315), _u17314)), hAPP(hAPP(c_List_Otake(_u17315), _u17316), hAPP(c_List_Otl(_u17315), _u17314)))) )).
% 43.40/43.65 cnf(matrix-7215, plain, ( ( hAPP(c_List_Orotate(_u17317, _u17318), _u17319) = hAPP(hAPP(c_List_Oappend(_u17317), hAPP(hAPP(c_List_Odrop(_u17317), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17318, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17317)), _u17319))), _u17319)), hAPP(hAPP(c_List_Otake(_u17317), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u17318, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17317)), _u17319))), _u17319))) )).
% 43.40/43.65 cnf(matrix-7216, plain, ( ~class_Lattices_Oab__semigroup__idem__mult(_u17320) | ( _u17321 = c_List_Olist_ONil(_u17320)) | ( hAPP(c_Finite__Set_Ofold1(_u17320, c_Groups_Otimes__class_Otimes(_u17320)), hAPP(c_List_Oset(_u17320), _u17321)) = hAPP(c_List_Ofoldl(_u17320, _u17320, c_Groups_Otimes__class_Otimes(_u17320), hAPP(c_List_Ohd(_u17320), _u17321)), hAPP(c_List_Otl(_u17320), _u17321))) )).
% 43.40/43.65 cnf(matrix-7217, plain, ( ( _u17324 != hAPP(hAPP(c_List_Olist_OCons(_u17325), _u17323), _u17322)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17325), tc_List_Olist(_u17325))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17325), tc_List_Olist(_u17325)), _u17326), hAPP(hAPP(c_List_Oappend(_u17325), _u17326), _u17324))), c_List_Olexord(_u17325, _u17327))) )).
% 43.40/43.65 cnf(matrix-7218, plain, ( ( hAPP(c_List_Ofoldl(_u17328, _u17329, _u17330, _u17331), c_List_Olist_ONil(_u17329)) = _u17331) )).
% 43.40/43.65 cnf(matrix-7219, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17332), _u17333)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17332), hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17333), _u17334))) )).
% 43.40/43.65 cnf(matrix-7220, plain, ( ~class_Groups_Omonoid__add(_u17335) | ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17335), _u17336), hAPP(c_List_Ofoldl(_u17335, _u17335, c_Groups_Oplus__class_Oplus(_u17335), c_Groups_Ozero__class_Ozero(_u17335)), _u17337)) = hAPP(c_List_Ofoldl(_u17335, _u17335, c_Groups_Oplus__class_Oplus(_u17335), _u17336), _u17337)) )).
% 43.40/43.65 cnf(matrix-7221, plain, ( ~class_Groups_Osemigroup__add(_u17338) | ( hAPP(c_List_Ofoldl(_u17338, _u17338, c_Groups_Oplus__class_Oplus(_u17338), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17338), _u17339), _u17340)), _u17341) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17338), _u17339), hAPP(c_List_Ofoldl(_u17338, _u17338, c_Groups_Oplus__class_Oplus(_u17338), _u17340), _u17341))) )).
% 43.40/43.65 cnf(matrix-7222, plain, ( ( hAPP(c_List_Ofoldl(_u17342, _u17343, _u17344, _u17345), hAPP(hAPP(c_List_Olist_OCons(_u17343), _u17346), _u17347)) = hAPP(c_List_Ofoldl(_u17342, _u17343, _u17344, hAPP(hAPP(_u17344, _u17345), _u17346)), _u17347)) )).
% 43.40/43.65 cnf(matrix-7223, plain, ( ( hAPP(c_List_Ofoldl(_u17348, _u17349, _u17350, _u17351), hAPP(hAPP(c_List_Oappend(_u17349), _u17352), _u17353)) = hAPP(c_List_Ofoldl(_u17348, _u17349, _u17350, hAPP(c_List_Ofoldl(_u17348, _u17349, _u17350, _u17351), _u17352)), _u17353)) )).
% 43.40/43.65 cnf(matrix-7224, plain, ( ~class_Groups_Omonoid__add(_u17354) | ( c_List_Omonoid__add__class_Olistsum(_u17354) = c_List_Ofoldl(_u17354, _u17354, c_Groups_Oplus__class_Oplus(_u17354), c_Groups_Ozero__class_Ozero(_u17354))) )).
% 43.40/43.65 cnf(matrix-7225, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17359), _u17361) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17359 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7226, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17359), _u17361) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17355), hAPP(c_List_Oset(tc_Nat_Onat), _u17361))) | ( _u17355 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7227, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17360), _u17362) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17360 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem453(_u17362, _u17360)), hAPP(c_List_Oset(tc_Nat_Onat), _u17362))) )).
% 43.40/43.65 cnf(matrix-7228, plain, ( ( hAPP(c_List_Ofoldl(tc_Nat_Onat, tc_Nat_Onat, c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17360), _u17362) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u17360 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( skolem453(_u17362, _u17360) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7229, plain, ( ~c_Finite__Set_Ofun__left__comm__idem(_u17363, _u17364, _u17365) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u17363, _u17364, _u17365), _u17366), hAPP(c_List_Oset(_u17363), _u17367)) = hAPP(c_List_Ofoldl(_u17364, _u17363, hAPP(c_COMBC(_u17363, _u17364, _u17364), _u17365), _u17366), _u17367)) )).
% 43.40/43.65 cnf(matrix-7230, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17368) | ( c_Complete__Lattice_OSup__class_OSup(_u17368, hAPP(c_List_Oset(_u17368), _u17369)) = hAPP(c_List_Ofoldl(_u17368, _u17368, c_Lattices_Osemilattice__sup__class_Osup(_u17368), c_Orderings_Obot__class_Obot(_u17368)), _u17369)) )).
% 43.40/43.65 cnf(matrix-7231, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17370) | ( c_Complete__Lattice_OInf__class_OInf(_u17370, hAPP(c_List_Oset(_u17370), _u17371)) = hAPP(c_List_Ofoldl(_u17370, _u17370, c_Lattices_Osemilattice__inf__class_Oinf(_u17370), c_Orderings_Otop__class_Otop(_u17370)), _u17371)) )).
% 43.40/43.65 cnf(matrix-7232, plain, ( ~class_Lattices_Olattice(_u17372) | ( c_Big__Operators_Olattice__class_OSup__fin(_u17372, hAPP(c_List_Oset(_u17372), hAPP(hAPP(c_List_Olist_OCons(_u17372), _u17373), _u17374))) = hAPP(c_List_Ofoldl(_u17372, _u17372, c_Lattices_Osemilattice__sup__class_Osup(_u17372), _u17373), _u17374)) )).
% 43.40/43.65 cnf(matrix-7233, plain, ( ~class_Lattices_Olattice(_u17375) | ( c_Big__Operators_Olattice__class_OInf__fin(_u17375, hAPP(c_List_Oset(_u17375), hAPP(hAPP(c_List_Olist_OCons(_u17375), _u17376), _u17377))) = hAPP(c_List_Ofoldl(_u17375, _u17375, c_Lattices_Osemilattice__inf__class_Oinf(_u17375), _u17376), _u17377)) )).
% 43.40/43.65 cnf(matrix-7234, plain, ( ~class_Orderings_Olinorder(_u17378) | ( c_Big__Operators_Olinorder__class_OMin(_u17378, hAPP(c_List_Oset(_u17378), hAPP(hAPP(c_List_Olist_OCons(_u17378), _u17379), _u17380))) = hAPP(c_List_Ofoldl(_u17378, _u17378, c_Orderings_Oord__class_Omin(_u17378), _u17379), _u17380)) )).
% 43.40/43.65 cnf(matrix-7235, plain, ( ~class_Orderings_Olinorder(_u17381) | ( c_Big__Operators_Olinorder__class_OMax(_u17381, hAPP(c_List_Oset(_u17381), hAPP(hAPP(c_List_Olist_OCons(_u17381), _u17382), _u17383))) = hAPP(c_List_Ofoldl(_u17381, _u17381, c_Orderings_Oord__class_Omax(_u17381), _u17382), _u17383)) )).
% 43.40/43.65 cnf(matrix-7236, plain, ( ~class_Orderings_Olinorder(_u17384) | ( c_Big__Operators_Olattice_OInf__fin(_u17384, c_Orderings_Oord__class_Omin(_u17384), hAPP(c_List_Oset(_u17384), hAPP(hAPP(c_List_Olist_OCons(_u17384), _u17385), _u17386))) = hAPP(c_List_Ofoldl(_u17384, _u17384, c_Orderings_Oord__class_Omin(_u17384), _u17385), _u17386)) )).
% 43.40/43.65 cnf(matrix-7237, plain, ( ~class_Orderings_Olinorder(_u17387) | ( c_Big__Operators_Olattice_OSup__fin(_u17387, c_Orderings_Oord__class_Omax(_u17387), hAPP(c_List_Oset(_u17387), hAPP(hAPP(c_List_Olist_OCons(_u17387), _u17388), _u17389))) = hAPP(c_List_Ofoldl(_u17387, _u17387, c_Orderings_Oord__class_Omax(_u17387), _u17388), _u17389)) )).
% 43.40/43.65 cnf(matrix-7238, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17390) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u17391, _u17390), hAPP(c_List_Oset(_u17391), _u17392)), _u17393) = hAPP(c_List_Ofoldl(_u17390, _u17391, hAPP(c_COMBC(_u17391, _u17390, _u17390), hAPP(hAPP(c_COMBB(_u17390, tc_fun(_u17390, _u17390), _u17391), c_Lattices_Osemilattice__sup__class_Osup(_u17390)), _u17393)), c_Orderings_Obot__class_Obot(_u17390)), _u17392)) )).
% 43.40/43.65 cnf(matrix-7239, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u17394) | ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u17395, _u17394), hAPP(c_List_Oset(_u17395), _u17396)), _u17397) = hAPP(c_List_Ofoldl(_u17394, _u17395, hAPP(c_COMBC(_u17395, _u17394, _u17394), hAPP(hAPP(c_COMBB(_u17394, tc_fun(_u17394, _u17394), _u17395), c_Lattices_Osemilattice__inf__class_Oinf(_u17394)), _u17397)), c_Orderings_Otop__class_Otop(_u17394)), _u17396)) )).
% 43.40/43.65 cnf(matrix-7240, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17398), hAPP(c_List_Oset(tc_Nat_Onat), _u17399))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17398), 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)), _u17399))) )).
% 43.40/43.65 cnf(matrix-7241, plain, ( ~class_Orderings_Olinorder(_u17400) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17400), _u17401)) | ( c_List_Olinorder__class_Osorted__list__of__set(_u17400, hAPP(hAPP(c_Set_Oinsert(_u17400), _u17402), _u17401)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17400, _u17400, c_COMBI(_u17400)), _u17402), c_List_Olinorder__class_Osorted__list__of__set(_u17400, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u17400, tc_HOL_Obool)), _u17401), hAPP(hAPP(c_Set_Oinsert(_u17400), _u17402), c_Orderings_Obot__class_Obot(tc_fun(_u17400, tc_HOL_Obool))))))) )).
% 43.40/43.65 cnf(matrix-7242, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17410), tc_List_Olist(_u17410))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17410), tc_List_Olist(_u17410)), c_List_Olist_ONil(_u17410)), _u17412)), c_List_Olexord(_u17410, _u17414))) | ( _u17412 = hAPP(hAPP(c_List_Olist_OCons(_u17410), skolem454(_u17414, _u17412, _u17410)), skolem455(_u17414, _u17412, _u17410))) )).
% 43.40/43.65 cnf(matrix-7243, plain, ( ( _u17413 != hAPP(hAPP(c_List_Olist_OCons(_u17411), _u17406), _u17405)) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u17411), tc_List_Olist(_u17411))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17411), tc_List_Olist(_u17411)), c_List_Olist_ONil(_u17411)), _u17413)), c_List_Olexord(_u17411, _u17415))) )).
% 43.40/43.65 cnf(matrix-7244, plain, ( ~class_Orderings_Olinorder(_u17416) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17417, _u17416, _u17418), _u17419), c_List_Olist_ONil(_u17417)) = hAPP(hAPP(c_List_Olist_OCons(_u17417), _u17419), c_List_Olist_ONil(_u17417))) )).
% 43.40/43.65 cnf(matrix-7245, plain, ( ~class_Orderings_Olinorder(_u17420) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17420), hAPP(_u17421, _u17422)), hAPP(_u17421, _u17423))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17424, _u17420, _u17421), _u17422), hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17423), _u17425)) = hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17422), hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17423), _u17425))) )).
% 43.40/43.65 cnf(matrix-7246, plain, ( ~class_Orderings_Olinorder(_u17420) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17420), hAPP(_u17421, _u17422)), hAPP(_u17421, _u17423))) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17424, _u17420, _u17421), _u17422), hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17423), _u17425)) = hAPP(hAPP(c_List_Olist_OCons(_u17424), _u17423), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17424, _u17420, _u17421), _u17422), _u17425))) )).
% 43.40/43.65 cnf(matrix-7247, plain, ( ~class_Orderings_Olinorder(_u17426) | ( c_List_Oremove1(_u17426, _u17427, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17426, _u17426, c_COMBI(_u17426)), _u17427), _u17428)) = _u17428) )).
% 43.40/43.65 cnf(matrix-7248, plain, ( ~class_Orderings_Olinorder(_u17429) | ( hAPP(_u17430, _u17431) = hAPP(_u17430, _u17432)) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17433, _u17429, _u17430), _u17432), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17433, _u17429, _u17430), _u17431), _u17434)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17433, _u17429, _u17430), _u17431), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17433, _u17429, _u17430), _u17432), _u17434))) )).
% 43.40/43.65 cnf(matrix-7249, plain, ( ~class_Orderings_Olinorder(_u17435) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17435, c_COMBI(_u17435)), _u17436), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17435, c_COMBI(_u17435)), _u17437), _u17438)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17435, c_COMBI(_u17435)), _u17437), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17435, _u17435, c_COMBI(_u17435)), _u17436), _u17438))) )).
% 43.40/43.65 cnf(matrix-7250, plain, ( ~class_Orderings_Olinorder(_u17439) | c_Finite__Set_Ofun__left__comm(_u17439, tc_List_Olist(_u17439), c_List_Olinorder__class_Oinsort__key(_u17439, _u17439, c_COMBI(_u17439))) )).
% 43.40/43.65 cnf(matrix-7251, plain, ( ~class_Orderings_Olinorder(_u17440) | ( hAPP(c_List_Oset(_u17441), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17441, _u17440, _u17442), _u17443), _u17444)) = hAPP(hAPP(c_Set_Oinsert(_u17441), _u17443), hAPP(c_List_Oset(_u17441), _u17444))) )).
% 43.40/43.65 cnf(matrix-7252, plain, ( ~class_Orderings_Olinorder(_u17445) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17446)), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17446, _u17445, _u17447), _u17448), _u17449)) = hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17446)), _u17449))) )).
% 43.40/43.65 cnf(matrix-7253, plain, ( ~class_Orderings_Olinorder(_u17450) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17451, _u17450, _u17452), _u17453), _u17454) != c_List_Olist_ONil(_u17451)) )).
% 43.40/43.65 cnf(matrix-7254, plain, ( ~class_Orderings_Olinorder(_u17455) | ~hBOOL(hAPP(c_List_Odistinct(_u17456), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17456, _u17455, _u17457), _u17458), _u17459))) | ~hBOOL(hAPP(hAPP(c_member(_u17456), _u17458), hAPP(c_List_Oset(_u17456), _u17459))) )).
% 43.40/43.65 cnf(matrix-7255, plain, ( ~class_Orderings_Olinorder(_u17455) | ~hBOOL(hAPP(c_List_Odistinct(_u17456), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17456, _u17455, _u17457), _u17458), _u17459))) | hBOOL(hAPP(c_List_Odistinct(_u17456), _u17459)) )).
% 43.40/43.65 cnf(matrix-7256, plain, ( ~class_Orderings_Olinorder(_u17455) | hBOOL(hAPP(hAPP(c_member(_u17456), _u17458), hAPP(c_List_Oset(_u17456), _u17459))) | ~hBOOL(hAPP(c_List_Odistinct(_u17456), _u17459)) | hBOOL(hAPP(c_List_Odistinct(_u17456), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17456, _u17455, _u17457), _u17458), _u17459))) )).
% 43.40/43.65 cnf(matrix-7257, plain, ( ~class_Orderings_Olinorder(_u17460) | hBOOL(hAPP(hAPP(c_member(_u17460), hAPP(_u17461, _u17462)), hAPP(c_Set_Oimage(_u17463, _u17460, _u17461), hAPP(c_List_Oset(_u17463), _u17464)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17463, _u17460, _u17461, _u17462, _u17464) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17463, _u17460, _u17461), _u17462), _u17464)) )).
% 43.40/43.65 cnf(matrix-7258, plain, ( ~class_Orderings_Olinorder(_u17465) | hBOOL(hAPP(hAPP(c_member(_u17465), _u17466), hAPP(c_List_Oset(_u17465), _u17467))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17465, _u17465, c_COMBI(_u17465), _u17466, _u17467) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u17465, _u17465, c_COMBI(_u17465)), _u17466), _u17467)) )).
% 43.40/43.65 cnf(matrix-7259, plain, ( ~class_Orderings_Olinorder(_u17468) | ~hBOOL(hAPP(c_List_Odistinct(_u17469), _u17470)) | hBOOL(hAPP(c_List_Odistinct(_u17469), c_List_Olinorder__class_Oinsort__insert__key(_u17469, _u17468, _u17471, _u17472, _u17470))) )).
% 43.40/43.65 cnf(matrix-7260, plain, ( ~class_Orderings_Olinorder(_u17473) | ~hBOOL(hAPP(hAPP(c_member(_u17473), _u17474), hAPP(c_List_Oset(_u17473), _u17475))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17473, _u17473, c_COMBI(_u17473), _u17474, _u17475) = _u17475) )).
% 43.40/43.65 cnf(matrix-7261, plain, ( ~class_Orderings_Olinorder(_u17476) | ( hAPP(c_List_Oset(_u17476), c_List_Olinorder__class_Oinsort__insert__key(_u17476, _u17476, c_COMBI(_u17476), _u17477, _u17478)) = hAPP(hAPP(c_Set_Oinsert(_u17476), _u17477), hAPP(c_List_Oset(_u17476), _u17478))) )).
% 43.40/43.65 cnf(matrix-7262, plain, ( ~class_Orderings_Olinorder(_u17479) | ~hBOOL(hAPP(hAPP(c_member(_u17479), hAPP(_u17480, _u17481)), hAPP(c_Set_Oimage(_u17482, _u17479, _u17480), hAPP(c_List_Oset(_u17482), _u17483)))) | ( c_List_Olinorder__class_Oinsort__insert__key(_u17482, _u17479, _u17480, _u17481, _u17483) = _u17483) )).
% 43.40/43.65 cnf(matrix-7263, plain, ( ( _u17484 = c_List_Olist_ONil(_u17485)) | ( _u17486 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17485)), _u17484)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17485, hAPP(hAPP(c_List_Olist__update(_u17485, _u17484), _u17486), _u17487)) = _u17487) )).
% 43.40/43.65 cnf(matrix-7264, plain, ( ( _u17484 = c_List_Olist_ONil(_u17485)) | ( _u17486 = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17485)), _u17484)), c_Groups_Oone__class_Oone(tc_Nat_Onat))) | ( c_List_Olast(_u17485, hAPP(hAPP(c_List_Olist__update(_u17485, _u17484), _u17486), _u17487)) = c_List_Olast(_u17485, _u17484)) )).
% 43.40/43.65 cnf(matrix-7265, plain, ( ( _u17488 = c_List_Olist_ONil(_u17489)) | ( c_List_Olast(_u17489, _u17488) = hAPP(hAPP(c_List_Onth(_u17489), _u17488), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17489)), _u17488)), c_Groups_Oone__class_Oone(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-7266, plain, ( ( _u17490 != c_List_Olist_ONil(_u17491)) | ( c_List_Olast(_u17491, hAPP(hAPP(c_List_Oappend(_u17491), _u17492), _u17490)) = c_List_Olast(_u17491, _u17492)) )).
% 43.40/43.65 cnf(matrix-7267, plain, ( ( _u17493 = c_List_Olist_ONil(_u17494)) | ( c_List_Olast(_u17494, hAPP(hAPP(c_List_Oappend(_u17494), _u17495), _u17493)) = c_List_Olast(_u17494, _u17493)) )).
% 43.40/43.65 cnf(matrix-7268, plain, ( ( _u17499 != c_List_Olist_ONil(_u17501)) | ( c_List_Olast(_u17501, hAPP(hAPP(c_List_Oappend(_u17501), _u17503), _u17499)) = c_List_Olast(_u17501, _u17503)) )).
% 43.40/43.65 cnf(matrix-7269, plain, ( ( _u17500 = c_List_Olist_ONil(_u17502)) | ( c_List_Olast(_u17502, hAPP(hAPP(c_List_Oappend(_u17502), _u17504), _u17500)) = c_List_Olast(_u17502, _u17500)) )).
% 43.40/43.65 cnf(matrix-7270, plain, ( ( _u17505 != c_List_Olist_ONil(_u17506)) | ( c_List_Olast(_u17506, hAPP(hAPP(c_List_Olist_OCons(_u17506), _u17507), _u17505)) = _u17507) )).
% 43.40/43.65 cnf(matrix-7271, plain, ( ( _u17508 = c_List_Olist_ONil(_u17509)) | ( c_List_Olast(_u17509, hAPP(hAPP(c_List_Olist_OCons(_u17509), _u17510), _u17508)) = c_List_Olast(_u17509, _u17508)) )).
% 43.40/43.65 cnf(matrix-7272, plain, ( ( _u17514 != c_List_Olist_ONil(_u17516)) | ( c_List_Olast(_u17516, hAPP(hAPP(c_List_Olist_OCons(_u17516), _u17518), _u17514)) = _u17518) )).
% 43.40/43.65 cnf(matrix-7273, plain, ( ( _u17515 = c_List_Olist_ONil(_u17517)) | ( c_List_Olast(_u17517, hAPP(hAPP(c_List_Olist_OCons(_u17517), _u17519), _u17515)) = c_List_Olast(_u17517, _u17515)) )).
% 43.40/43.65 cnf(matrix-7274, plain, ( ( _u17520 = c_List_Olist_ONil(_u17521)) | hBOOL(hAPP(hAPP(c_member(_u17521), c_List_Olast(_u17521, _u17520)), hAPP(c_List_Oset(_u17521), _u17520))) )).
% 43.40/43.65 cnf(matrix-7275, plain, ( ( c_List_Olast(_u17522, hAPP(hAPP(c_List_Oappend(_u17522), _u17523), hAPP(hAPP(c_List_Olist_OCons(_u17522), _u17524), c_List_Olist_ONil(_u17522)))) = _u17524) )).
% 43.40/43.65 cnf(matrix-7276, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17525), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17526)), _u17527))) | ( c_List_Olast(_u17526, hAPP(hAPP(c_List_Odrop(_u17526), _u17525), _u17527)) = c_List_Olast(_u17526, _u17527)) )).
% 43.40/43.65 cnf(matrix-7277, plain, ( ( _u17528 = c_List_Olist_ONil(_u17529)) | ( hAPP(hAPP(c_List_Oappend(_u17529), c_List_Obutlast(_u17529, _u17528)), hAPP(hAPP(c_List_Olist_OCons(_u17529), c_List_Olast(_u17529, _u17528)), c_List_Olist_ONil(_u17529))) = _u17528) )).
% 43.40/43.65 cnf(matrix-7278, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17534), _u17536), hAPP(hAPP(c_List_Olist_OCons(_u17534), _u17538), c_List_Olist_ONil(_u17534))) != _u17540) | ( _u17540 != c_List_Olist_ONil(_u17534)) )).
% 43.40/43.65 cnf(matrix-7279, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17534), _u17536), hAPP(hAPP(c_List_Olist_OCons(_u17534), _u17538), c_List_Olist_ONil(_u17534))) != _u17540) | ( c_List_Obutlast(_u17534, _u17540) = _u17536) )).
% 43.40/43.65 cnf(matrix-7280, plain, ( ( hAPP(hAPP(c_List_Oappend(_u17534), _u17536), hAPP(hAPP(c_List_Olist_OCons(_u17534), _u17538), c_List_Olist_ONil(_u17534))) != _u17540) | ( c_List_Olast(_u17534, _u17540) = _u17538) )).
% 43.40/43.65 cnf(matrix-7281, plain, ( ( _u17541 = c_List_Olist_ONil(_u17535)) | ( c_List_Obutlast(_u17535, _u17541) != _u17537) | ( c_List_Olast(_u17535, _u17541) != _u17539) | ( hAPP(hAPP(c_List_Oappend(_u17535), _u17537), hAPP(hAPP(c_List_Olist_OCons(_u17535), _u17539), c_List_Olist_ONil(_u17535))) = _u17541) )).
% 43.40/43.65 cnf(matrix-7282, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17549)), _u17551), c_List_Olists(_u17549, _u17553))) | ( _u17551 = c_List_Olist_ONil(_u17549)) | hBOOL(hAPP(hAPP(c_member(_u17549), skolem456(_u17553, _u17551, _u17549)), _u17553)) )).
% 43.40/43.65 cnf(matrix-7283, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17549)), _u17551), c_List_Olists(_u17549, _u17553))) | ( _u17551 = c_List_Olist_ONil(_u17549)) | ( _u17551 = hAPP(hAPP(c_List_Olist_OCons(_u17549), skolem456(_u17553, _u17551, _u17549)), skolem457(_u17553, _u17551, _u17549))) )).
% 43.40/43.65 cnf(matrix-7284, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17549)), _u17551), c_List_Olists(_u17549, _u17553))) | ( _u17551 = c_List_Olist_ONil(_u17549)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17549)), skolem457(_u17553, _u17551, _u17549)), c_List_Olists(_u17549, _u17553))) )).
% 43.40/43.65 cnf(matrix-7285, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17550)), _u17552), c_List_Olists(_u17550, _u17554))) | ( _u17552 != c_List_Olist_ONil(_u17550)) )).
% 43.40/43.65 cnf(matrix-7286, plain, ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17550)), _u17552), c_List_Olists(_u17550, _u17554))) | ~hBOOL(hAPP(hAPP(c_member(_u17550), _u17545), _u17554)) | ( _u17552 != hAPP(hAPP(c_List_Olist_OCons(_u17550), _u17545), _u17544)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u17550)), _u17544), c_List_Olists(_u17550, _u17554))) )).
% 43.40/43.65 cnf(matrix-7287, plain, ( ( _u17555 = c_List_Olist_ONil(_u17556)) | ( c_Random_Oselect__weight(_u17556, hAPP(hAPP(c_List_Omap(_u17556, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17556)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17556), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17555)) = c_Random_Oselect(_u17556, _u17555)) )).
% 43.40/43.65 cnf(matrix-7288, plain, ( ~c_Fun_Oinj__on(_u17557, _u17558, _u17559, c_Orderings_Otop__class_Otop(tc_fun(_u17557, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17557), tc_List_Olist(_u17558), hAPP(c_List_Omap(_u17557, _u17558), _u17559), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17557), tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-7289, plain, ( ( _u17560 = c_List_Olist_ONil(_u17561)) | ( c_List_Olast(_u17562, hAPP(hAPP(c_List_Omap(_u17561, _u17562), _u17563), _u17560)) = hAPP(_u17563, c_List_Olast(_u17561, _u17560))) )).
% 43.40/43.65 cnf(matrix-7290, plain, ( ( hAPP(c_List_Ofoldl(_u17564, _u17565, _u17566, _u17567), hAPP(hAPP(c_List_Omap(_u17568, _u17565), _u17569), _u17570)) = hAPP(c_List_Ofoldl(_u17564, _u17568, hAPP(hAPP(c_COMBC(_u17564, tc_fun(_u17568, _u17565), tc_fun(_u17568, _u17564)), hAPP(hAPP(c_COMBB(tc_fun(_u17565, _u17564), tc_fun(tc_fun(_u17568, _u17565), tc_fun(_u17568, _u17564)), _u17564), c_COMBB(_u17565, _u17564, _u17568)), _u17566)), _u17569), _u17567), _u17570)) )).
% 43.40/43.65 cnf(matrix-7291, plain, ( ( hAPP(c_List_Orotate(_u17571, _u17572), hAPP(hAPP(c_List_Omap(_u17573, _u17571), _u17574), _u17575)) = hAPP(hAPP(c_List_Omap(_u17573, _u17571), _u17574), hAPP(c_List_Orotate(_u17573, _u17572), _u17575))) )).
% 43.40/43.65 cnf(matrix-7292, plain, ( ( hAPP(hAPP(c_List_Omap(_u17576, _u17577), _u17578), hAPP(c_List_Otl(_u17576), _u17579)) = hAPP(c_List_Otl(_u17577), hAPP(hAPP(c_List_Omap(_u17576, _u17577), _u17578), _u17579))) )).
% 43.40/43.65 cnf(matrix-7293, plain, ( ( hAPP(hAPP(c_List_Omap(_u17584, _u17586), _u17588), _u17590) != c_List_Olist_ONil(_u17586)) | ( _u17590 = c_List_Olist_ONil(_u17584)) )).
% 43.40/43.65 cnf(matrix-7294, plain, ( ( _u17591 != c_List_Olist_ONil(_u17585)) | ( hAPP(hAPP(c_List_Omap(_u17585, _u17587), _u17589), _u17591) = c_List_Olist_ONil(_u17587)) )).
% 43.40/43.65 cnf(matrix-7295, plain, ( ( hAPP(hAPP(c_List_Omap(_u17592, _u17593), _u17594), c_List_Olist_ONil(_u17592)) = c_List_Olist_ONil(_u17593)) )).
% 43.40/43.65 cnf(matrix-7296, plain, ( ( _u17605 = c_List_Olist_ONil(_u17601)) | ( c_List_Olist_ONil(_u17599) != hAPP(hAPP(c_List_Omap(_u17601, _u17599), _u17603), _u17605)) )).
% 43.40/43.65 cnf(matrix-7297, plain, ( ( _u17606 != c_List_Olist_ONil(_u17602)) | ( c_List_Olist_ONil(_u17600) = hAPP(hAPP(c_List_Omap(_u17602, _u17600), _u17604), _u17606)) )).
% 43.40/43.65 cnf(matrix-7298, plain, ( ( hAPP(hAPP(c_List_Omap(_u17607, _u17608), _u17609), hAPP(hAPP(c_List_Olist__update(_u17607, _u17610), _u17611), _u17612)) = hAPP(hAPP(c_List_Olist__update(_u17608, hAPP(hAPP(c_List_Omap(_u17607, _u17608), _u17609), _u17610)), _u17611), hAPP(_u17609, _u17612))) )).
% 43.40/43.65 cnf(matrix-7299, plain, ( ~class_Groups_Oab__group__add(_u17613) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17613), hAPP(hAPP(c_List_Omap(_u17614, _u17613), hAPP(hAPP(c_COMBS(_u17614, _u17613, _u17613), hAPP(hAPP(c_COMBB(_u17613, tc_fun(_u17613, _u17613), _u17614), c_Groups_Ominus__class_Ominus(_u17613)), _u17615)), _u17616)), _u17617)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(_u17613), hAPP(c_List_Omonoid__add__class_Olistsum(_u17613), hAPP(hAPP(c_List_Omap(_u17614, _u17613), _u17615), _u17617))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17613), hAPP(hAPP(c_List_Omap(_u17614, _u17613), _u17616), _u17617)))) )).
% 43.40/43.65 cnf(matrix-7300, plain, ( ~class_Rings_Osemiring__0(_u17618) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17618), hAPP(hAPP(c_List_Omap(_u17619, _u17618), hAPP(hAPP(c_COMBC(_u17619, _u17618, _u17618), hAPP(hAPP(c_COMBB(_u17618, tc_fun(_u17618, _u17618), _u17619), c_Groups_Otimes__class_Otimes(_u17618)), _u17620)), _u17621)), _u17622)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17618), hAPP(c_List_Omonoid__add__class_Olistsum(_u17618), hAPP(hAPP(c_List_Omap(_u17619, _u17618), _u17620), _u17622))), _u17621)) )).
% 43.40/43.65 cnf(matrix-7301, plain, ( ~class_Rings_Osemiring__0(_u17623) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17623), hAPP(hAPP(c_List_Omap(_u17624, _u17623), hAPP(hAPP(c_COMBB(_u17623, _u17623, _u17624), hAPP(c_Groups_Otimes__class_Otimes(_u17623), _u17625)), _u17626)), _u17627)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17623), _u17625), hAPP(c_List_Omonoid__add__class_Olistsum(_u17623), hAPP(hAPP(c_List_Omap(_u17624, _u17623), _u17626), _u17627)))) )).
% 43.40/43.65 cnf(matrix-7302, plain, ( ~class_Groups_Omonoid__add(_u17628) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17628), hAPP(hAPP(c_List_Omap(_u17629, _u17628), hAPP(c_COMBK(_u17628, _u17629), c_Groups_Ozero__class_Ozero(_u17628))), _u17630)) = c_Groups_Ozero__class_Ozero(_u17628)) )).
% 43.40/43.65 cnf(matrix-7303, plain, ( ~class_Groups_Ocomm__monoid__add(_u17631) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17631), hAPP(hAPP(c_List_Omap(_u17632, _u17631), hAPP(hAPP(c_COMBS(_u17632, _u17631, _u17631), hAPP(hAPP(c_COMBB(_u17631, tc_fun(_u17631, _u17631), _u17632), c_Groups_Oplus__class_Oplus(_u17631)), _u17633)), _u17634)), _u17635)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17631), hAPP(c_List_Omonoid__add__class_Olistsum(_u17631), hAPP(hAPP(c_List_Omap(_u17632, _u17631), _u17633), _u17635))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17631), hAPP(hAPP(c_List_Omap(_u17632, _u17631), _u17634), _u17635)))) )).
% 43.40/43.65 cnf(matrix-7304, plain, ( ( hAPP(hAPP(c_List_Omap(_u17636, _u17637), _u17638), c_List_Obutlast(_u17636, _u17639)) = c_List_Obutlast(_u17637, hAPP(hAPP(c_List_Omap(_u17636, _u17637), _u17638), _u17639))) )).
% 43.40/43.65 cnf(matrix-7305, plain, ( ( hAPP(hAPP(c_List_Omap(_u17640, _u17641), _u17642), _u17643) != hAPP(hAPP(c_List_Omap(_u17644, _u17641), _u17645), _u17646)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17640)), _u17643) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17644)), _u17646)) )).
% 43.40/43.65 cnf(matrix-7306, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17647)), hAPP(hAPP(c_List_Omap(_u17648, _u17647), _u17649), _u17650)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17648)), _u17650)) )).
% 43.40/43.65 cnf(matrix-7307, plain, ( ( hAPP(hAPP(c_List_Omap(_u17658, _u17660), _u17662), _u17664) != hAPP(hAPP(c_List_Omap(_u17658, _u17660), _u17666), _u17664)) | ~hBOOL(hAPP(hAPP(c_member(_u17658), _u17651), hAPP(c_List_Oset(_u17658), _u17664))) | ( hAPP(_u17662, _u17651) = hAPP(_u17666, _u17651)) )).
% 43.40/43.65 cnf(matrix-7308, plain, ( ( hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17663), _u17665) = hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17667), _u17665)) | hBOOL(hAPP(hAPP(c_member(_u17659), skolem458(_u17667, _u17665, _u17663, _u17661, _u17659)), hAPP(c_List_Oset(_u17659), _u17665))) )).
% 43.40/43.65 cnf(matrix-7309, plain, ( ( hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17663), _u17665) = hAPP(hAPP(c_List_Omap(_u17659, _u17661), _u17667), _u17665)) | ( hAPP(_u17663, skolem458(_u17667, _u17665, _u17663, _u17661, _u17659)) != hAPP(_u17667, skolem458(_u17667, _u17665, _u17663, _u17661, _u17659))) )).
% 43.40/43.65 cnf(matrix-7310, plain, ( ( hAPP(hAPP(c_List_Otake(_u17668), _u17669), hAPP(hAPP(c_List_Omap(_u17670, _u17668), _u17671), _u17672)) = hAPP(hAPP(c_List_Omap(_u17670, _u17668), _u17671), hAPP(hAPP(c_List_Otake(_u17670), _u17669), _u17672))) )).
% 43.40/43.65 cnf(matrix-7311, plain, ( ( hAPP(hAPP(c_List_Omap(_u17673, _u17674), _u17675), _u17676) != hAPP(hAPP(c_List_Omap(_u17673, _u17674), _u17675), _u17677)) | ~c_Fun_Oinj__on(_u17673, _u17674, _u17675, c_Orderings_Otop__class_Otop(tc_fun(_u17673, tc_HOL_Obool))) | ( _u17676 = _u17677) )).
% 43.40/43.65 cnf(matrix-7312, plain, ( ~c_Fun_Oinj__on(_u17678, _u17679, _u17680, c_Orderings_Otop__class_Otop(tc_fun(_u17678, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u17678, _u17679), _u17680), _u17681) != hAPP(hAPP(c_List_Omap(_u17678, _u17679), _u17680), _u17682)) | ( _u17681 = _u17682) )).
% 43.40/43.65 cnf(matrix-7313, plain, ( ~c_Fun_Oinj__on(_u17678, _u17679, _u17680, c_Orderings_Otop__class_Otop(tc_fun(_u17678, tc_HOL_Obool))) | ( _u17681 != _u17682) | ( hAPP(hAPP(c_List_Omap(_u17678, _u17679), _u17680), _u17681) = hAPP(hAPP(c_List_Omap(_u17678, _u17679), _u17680), _u17682)) )).
% 43.40/43.65 cnf(matrix-7314, plain, ( ( hAPP(hAPP(c_List_Omap(_u17683, _u17683), c_COMBI(_u17683)), _u17684) = _u17684) )).
% 43.40/43.65 cnf(matrix-7315, plain, ( ( hAPP(c_List_Oset(_u17685), hAPP(hAPP(c_List_Omap(_u17686, _u17685), _u17687), _u17688)) = hAPP(c_Set_Oimage(_u17686, _u17685, _u17687), hAPP(c_List_Oset(_u17686), _u17688))) )).
% 43.40/43.65 cnf(matrix-7316, plain, ( ( hAPP(hAPP(c_List_Omap(_u17689, _u17690), _u17691), hAPP(hAPP(c_List_Olist_OCons(_u17689), _u17692), _u17693)) = hAPP(hAPP(c_List_Olist_OCons(_u17690), hAPP(_u17691, _u17692)), hAPP(hAPP(c_List_Omap(_u17689, _u17690), _u17691), _u17693))) )).
% 43.40/43.65 cnf(matrix-7317, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17694, _u17694), _u17695), _u17695) = hAPP(hAPP(c_List_Omap(_u17694, tc_prod(_u17694, _u17694)), hAPP(hAPP(c_COMBS(_u17694, _u17694, tc_prod(_u17694, _u17694)), c_Product__Type_OPair(_u17694, _u17694)), c_COMBI(_u17694))), _u17695)) )).
% 43.40/43.65 cnf(matrix-7318, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17696, _u17697), hAPP(hAPP(c_List_Omap(_u17698, _u17696), _u17699), _u17700)), hAPP(hAPP(c_List_Omap(_u17701, _u17697), _u17702), _u17703)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17698, _u17701), tc_prod(_u17696, _u17697)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17698, _u17701, tc_prod(_u17696, _u17697)), hAPP(hAPP(c_COMBC(_u17698, tc_fun(_u17701, _u17697), tc_fun(_u17701, tc_prod(_u17696, _u17697))), hAPP(hAPP(c_COMBB(tc_fun(_u17697, tc_prod(_u17696, _u17697)), tc_fun(tc_fun(_u17701, _u17697), tc_fun(_u17701, tc_prod(_u17696, _u17697))), _u17698), c_COMBB(_u17697, tc_prod(_u17696, _u17697), _u17701)), hAPP(hAPP(c_COMBB(_u17696, tc_fun(_u17697, tc_prod(_u17696, _u17697)), _u17698), c_Product__Type_OPair(_u17696, _u17697)), _u17699))), _u17702))), hAPP(hAPP(c_List_Ozip(_u17698, _u17701), _u17700), _u17703))) )).
% 43.40/43.65 cnf(matrix-7319, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17704, _u17705), hAPP(hAPP(c_List_Omap(_u17706, _u17704), _u17707), _u17708)), _u17709) = hAPP(hAPP(c_List_Omap(tc_prod(_u17706, _u17705), tc_prod(_u17704, _u17705)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17706, _u17705, tc_prod(_u17704, _u17705)), hAPP(hAPP(c_COMBB(_u17704, tc_fun(_u17705, tc_prod(_u17704, _u17705)), _u17706), c_Product__Type_OPair(_u17704, _u17705)), _u17707))), hAPP(hAPP(c_List_Ozip(_u17706, _u17705), _u17708), _u17709))) )).
% 43.40/43.65 cnf(matrix-7320, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17710, _u17711), _u17712), _u17713), hAPP(hAPP(c_List_Ozip(_u17710, _u17711), hAPP(hAPP(c_List_Omap(_u17714, _u17710), _u17715), _u17716)), _u17717)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17714, _u17711), _u17712), hAPP(c_Product__Type_Oprod_Oprod__case(_u17714, _u17711, _u17712), hAPP(hAPP(c_COMBB(tc_fun(_u17711, tc_prod(_u17710, _u17711)), tc_fun(_u17711, _u17712), _u17714), hAPP(c_COMBB(tc_prod(_u17710, _u17711), _u17712, _u17711), _u17713)), hAPP(hAPP(c_COMBB(_u17710, tc_fun(_u17711, tc_prod(_u17710, _u17711)), _u17714), c_Product__Type_OPair(_u17710, _u17711)), _u17715)))), hAPP(hAPP(c_List_Ozip(_u17714, _u17711), _u17716), _u17717))) )).
% 43.40/43.65 cnf(matrix-7321, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u17718, _u17719), _u17720), _u17721), hAPP(hAPP(c_List_Ozip(_u17718, _u17719), _u17722), hAPP(hAPP(c_List_Omap(_u17723, _u17719), _u17724), _u17725))) = hAPP(hAPP(c_List_Omap(tc_prod(_u17718, _u17723), _u17720), hAPP(c_Product__Type_Oprod_Oprod__case(_u17718, _u17723, _u17720), hAPP(hAPP(c_COMBB(tc_fun(_u17723, tc_prod(_u17718, _u17719)), tc_fun(_u17723, _u17720), _u17718), hAPP(c_COMBB(tc_prod(_u17718, _u17719), _u17720, _u17723), _u17721)), hAPP(hAPP(c_COMBC(_u17718, tc_fun(_u17723, _u17719), tc_fun(_u17723, tc_prod(_u17718, _u17719))), hAPP(hAPP(c_COMBB(tc_fun(_u17719, tc_prod(_u17718, _u17719)), tc_fun(tc_fun(_u17723, _u17719), tc_fun(_u17723, tc_prod(_u17718, _u17719))), _u17718), c_COMBB(_u17719, tc_prod(_u17718, _u17719), _u17723)), c_Product__Type_OPair(_u17718, _u17719))), _u17724)))), hAPP(hAPP(c_List_Ozip(_u17718, _u17723), _u17722), _u17725))) )).
% 43.40/43.65 cnf(matrix-7322, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17726, _u17727), _u17728), hAPP(hAPP(c_List_Omap(_u17729, _u17727), _u17730), _u17731)) = hAPP(hAPP(c_List_Omap(tc_prod(_u17726, _u17729), tc_prod(_u17726, _u17727)), hAPP(c_Product__Type_Oprod_Oprod__case(_u17726, _u17729, tc_prod(_u17726, _u17727)), hAPP(hAPP(c_COMBC(_u17726, tc_fun(_u17729, _u17727), tc_fun(_u17729, tc_prod(_u17726, _u17727))), hAPP(hAPP(c_COMBB(tc_fun(_u17727, tc_prod(_u17726, _u17727)), tc_fun(tc_fun(_u17729, _u17727), tc_fun(_u17729, tc_prod(_u17726, _u17727))), _u17726), c_COMBB(_u17727, tc_prod(_u17726, _u17727), _u17729)), c_Product__Type_OPair(_u17726, _u17727))), _u17730))), hAPP(hAPP(c_List_Ozip(_u17726, _u17729), _u17728), _u17731))) )).
% 43.40/43.65 cnf(matrix-7323, plain, ( ( hAPP(hAPP(c_List_Omap(_u17732, _u17733), _u17734), hAPP(hAPP(c_List_Oappend(_u17732), _u17735), _u17736)) = hAPP(hAPP(c_List_Oappend(_u17733), hAPP(hAPP(c_List_Omap(_u17732, _u17733), _u17734), _u17735)), hAPP(hAPP(c_List_Omap(_u17732, _u17733), _u17734), _u17736))) )).
% 43.40/43.65 cnf(matrix-7324, plain, ( ( _u17737 = c_List_Olist_ONil(_u17738)) | ( hAPP(c_List_Ohd(_u17739), hAPP(hAPP(c_List_Omap(_u17738, _u17739), _u17740), _u17737)) = hAPP(_u17740, hAPP(c_List_Ohd(_u17738), _u17737))) )).
% 43.40/43.65 cnf(matrix-7325, plain, ( ( hAPP(hAPP(c_List_Odrop(_u17741), _u17742), hAPP(hAPP(c_List_Omap(_u17743, _u17741), _u17744), _u17745)) = hAPP(hAPP(c_List_Omap(_u17743, _u17741), _u17744), hAPP(hAPP(c_List_Odrop(_u17743), _u17742), _u17745))) )).
% 43.40/43.65 cnf(matrix-7326, plain, ( hBOOL(hAPP(hAPP(c_member(_u17746), _u17747), hAPP(c_List_Oset(_u17746), _u17748))) | ( hAPP(hAPP(c_List_Omap(_u17746, _u17749), c_Fun_Ofun__upd(_u17746, _u17749, _u17750, _u17747, _u17751)), _u17748) = hAPP(hAPP(c_List_Omap(_u17746, _u17749), _u17750), _u17748)) )).
% 43.40/43.65 cnf(matrix-7327, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17752), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17753)), _u17754))) | ( hAPP(hAPP(c_List_Onth(_u17755), hAPP(hAPP(c_List_Omap(_u17753, _u17755), _u17756), _u17754)), _u17752) = hAPP(_u17756, hAPP(hAPP(c_List_Onth(_u17753), _u17754), _u17752))) )).
% 43.40/43.65 cnf(matrix-7328, plain, ( ( hAPP(hAPP(c_List_Omap(_u17757, _u17758), _u17759), _u17760) != hAPP(hAPP(c_List_Omap(_u17757, _u17758), _u17759), _u17761)) | ~c_Fun_Oinj__on(_u17757, _u17758, _u17759, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17757, tc_HOL_Obool)), hAPP(c_List_Oset(_u17757), _u17760)), hAPP(c_List_Oset(_u17757), _u17761))) | ( _u17760 = _u17761) )).
% 43.40/43.65 cnf(matrix-7329, plain, ( ~c_Fun_Oinj__on(_u17762, _u17763, _u17764, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17762, tc_HOL_Obool)), hAPP(c_List_Oset(_u17762), _u17765)), hAPP(c_List_Oset(_u17762), _u17766))) | ( hAPP(hAPP(c_List_Omap(_u17762, _u17763), _u17764), _u17765) != hAPP(hAPP(c_List_Omap(_u17762, _u17763), _u17764), _u17766)) | ( _u17765 = _u17766) )).
% 43.40/43.65 cnf(matrix-7330, plain, ( ~c_Fun_Oinj__on(_u17762, _u17763, _u17764, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17762, tc_HOL_Obool)), hAPP(c_List_Oset(_u17762), _u17765)), hAPP(c_List_Oset(_u17762), _u17766))) | ( _u17765 != _u17766) | ( hAPP(hAPP(c_List_Omap(_u17762, _u17763), _u17764), _u17765) = hAPP(hAPP(c_List_Omap(_u17762, _u17763), _u17764), _u17766)) )).
% 43.40/43.65 cnf(matrix-7331, plain, ( ( c_List_Olist_Olist__size(_u17767, _u17768, hAPP(hAPP(c_List_Omap(_u17769, _u17767), _u17770), _u17771)) = c_List_Olist_Olist__size(_u17769, hAPP(c_Fun_Ocomp(_u17767, tc_Nat_Onat, _u17769, _u17768), _u17770), _u17771)) )).
% 43.40/43.65 cnf(matrix-7332, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17772), tc_List_Olist(_u17773), tc_List_Olist(_u17774), hAPP(c_List_Omap(_u17772, _u17773), _u17775)), hAPP(c_List_Omap(_u17774, _u17772), _u17776)) = hAPP(c_List_Omap(_u17774, _u17773), hAPP(c_Fun_Ocomp(_u17772, _u17773, _u17774, _u17775), _u17776))) )).
% 43.40/43.65 cnf(matrix-7333, plain, ( ( hAPP(c_Fun_Ocomp(tc_List_Olist(_u17777), tc_List_Olist(_u17778), tc_List_Olist(_u17779), hAPP(c_List_Omap(_u17777, _u17778), _u17780)), hAPP(c_List_Omap(_u17779, _u17777), _u17781)) = hAPP(c_List_Omap(_u17779, _u17778), hAPP(c_Fun_Ocomp(_u17777, _u17778, _u17779, _u17780), _u17781))) )).
% 43.40/43.65 cnf(matrix-7334, plain, ( ( hAPP(hAPP(c_List_Omap(_u17782, _u17783), _u17784), hAPP(hAPP(c_List_Omap(_u17785, _u17782), _u17786), _u17787)) = hAPP(hAPP(c_List_Omap(_u17785, _u17783), hAPP(c_Fun_Ocomp(_u17782, _u17783, _u17785, _u17784), _u17786)), _u17787)) )).
% 43.40/43.65 cnf(matrix-7335, plain, ( ( hAPP(hAPP(c_List_Omap(_u17788, _u17789), _u17790), hAPP(hAPP(c_List_Omap(_u17791, _u17788), _u17792), _u17793)) = hAPP(hAPP(c_List_Omap(_u17791, _u17789), hAPP(c_Fun_Ocomp(_u17788, _u17789, _u17791, _u17790), _u17792)), _u17793)) )).
% 43.40/43.65 cnf(matrix-7336, plain, ( ( hAPP(c_List_Omap(_u17794, _u17794), c_Fun_Oid(_u17794)) = c_Fun_Oid(tc_List_Olist(_u17794))) )).
% 43.40/43.65 cnf(matrix-7337, plain, ( ( hAPP(c_List_Omap(_u17795, _u17795), c_COMBI(_u17795)) = c_Fun_Oid(tc_List_Olist(_u17795))) )).
% 43.40/43.65 cnf(matrix-7338, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17800), hAPP(hAPP(c_List_Omap(_u17802, _u17800), _u17804), _u17806))) | hBOOL(hAPP(c_List_Odistinct(_u17802), _u17806)) )).
% 43.40/43.65 cnf(matrix-7339, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17800), hAPP(hAPP(c_List_Omap(_u17802, _u17800), _u17804), _u17806))) | c_Fun_Oinj__on(_u17802, _u17800, _u17804, hAPP(c_List_Oset(_u17802), _u17806)) )).
% 43.40/43.65 cnf(matrix-7340, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17803), _u17807)) | ~c_Fun_Oinj__on(_u17803, _u17801, _u17805, hAPP(c_List_Oset(_u17803), _u17807)) | hBOOL(hAPP(c_List_Odistinct(_u17801), hAPP(hAPP(c_List_Omap(_u17803, _u17801), _u17805), _u17807))) )).
% 43.40/43.65 cnf(matrix-7341, plain, ( ~class_Groups_Oordered__ab__group__add__abs(_u17808) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17808), hAPP(c_Groups_Oabs__class_Oabs(_u17808), hAPP(c_List_Omonoid__add__class_Olistsum(_u17808), _u17809))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17808), hAPP(hAPP(c_List_Omap(_u17808, _u17808), c_Groups_Oabs__class_Oabs(_u17808)), _u17809)))) )).
% 43.40/43.65 cnf(matrix-7342, plain, ( ~class_Groups_Oab__group__add(_u17810) | ( hAPP(c_Groups_Ouminus__class_Ouminus(_u17810), hAPP(c_List_Omonoid__add__class_Olistsum(_u17810), hAPP(hAPP(c_List_Omap(_u17811, _u17810), _u17812), _u17813))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17810), hAPP(hAPP(c_List_Omap(_u17811, _u17810), hAPP(c_Fun_Ocomp(_u17810, _u17810, _u17811, c_Groups_Ouminus__class_Ouminus(_u17810)), _u17812)), _u17813))) )).
% 43.40/43.65 cnf(matrix-7343, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17817), tc_List_Olist(_u17819), hAPP(c_List_Omap(_u17817, _u17819), _u17821), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17817), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17817, _u17819, _u17821, c_Orderings_Otop__class_Otop(tc_fun(_u17817, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-7344, plain, ( ~c_Fun_Oinj__on(_u17818, _u17820, _u17822, c_Orderings_Otop__class_Otop(tc_fun(_u17818, tc_HOL_Obool))) | c_Fun_Oinj__on(tc_List_Olist(_u17818), tc_List_Olist(_u17820), hAPP(c_List_Omap(_u17818, _u17820), _u17822), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17818), tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-7345, plain, ( ~c_Fun_Oinj__on(tc_List_Olist(_u17823), tc_List_Olist(_u17824), hAPP(c_List_Omap(_u17823, _u17824), _u17825), c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(_u17823), tc_HOL_Obool))) | c_Fun_Oinj__on(_u17823, _u17824, _u17825, c_Orderings_Otop__class_Otop(tc_fun(_u17823, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-7346, plain, ( ~class_Groups_Ocomm__monoid__add(_u17826) | ~hBOOL(hAPP(c_List_Odistinct(_u17827), _u17828)) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17826), hAPP(hAPP(c_List_Omap(_u17827, _u17826), _u17829), _u17828)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u17827, _u17826), _u17829), hAPP(c_List_Oset(_u17827), _u17828))) )).
% 43.40/43.65 cnf(matrix-7347, plain, ( ~class_Rings_Osemiring__1(_u17830) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17830), hAPP(hAPP(c_List_Omap(_u17831, _u17830), hAPP(c_COMBK(_u17830, _u17831), _u17832)), _u17833)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(_u17830), hAPP(c_Nat_Osemiring__1__class_Oof__nat(_u17830), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17831)), _u17833))), _u17832)) )).
% 43.40/43.65 cnf(matrix-7348, plain, ( ( c_Enum_Oproduct(_u17834, _u17835, hAPP(hAPP(c_List_Olist_OCons(_u17834), _u17836), _u17837), _u17838) = hAPP(hAPP(c_List_Oappend(tc_prod(_u17834, _u17835)), hAPP(hAPP(c_List_Omap(_u17835, tc_prod(_u17834, _u17835)), hAPP(c_Product__Type_OPair(_u17834, _u17835), _u17836)), _u17838)), c_Enum_Oproduct(_u17834, _u17835, _u17837, _u17838))) )).
% 43.40/43.65 cnf(matrix-7349, plain, ( ~class_Groups_Ocomm__monoid__add(_u17839) | ~hBOOL(hAPP(hAPP(c_member(_u17840), _u17841), hAPP(c_List_Oset(_u17840), _u17842))) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17839), hAPP(hAPP(c_List_Omap(_u17840, _u17839), _u17843), _u17842)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u17839), hAPP(_u17843, _u17841)), hAPP(c_List_Omonoid__add__class_Olistsum(_u17839), hAPP(hAPP(c_List_Omap(_u17840, _u17839), _u17843), c_List_Oremove1(_u17840, _u17841, _u17842))))) )).
% 43.40/43.65 cnf(matrix-7350, plain, ( ~c_Fun_Oinj__on(_u17844, _u17845, _u17846, c_Complete__Lattice_OSup__class_OSup(tc_fun(_u17844, tc_HOL_Obool), hAPP(c_Set_Oimage(tc_List_Olist(_u17844), tc_fun(_u17844, tc_HOL_Obool), c_List_Oset(_u17844)), _u17847))) | c_Fun_Oinj__on(tc_List_Olist(_u17844), tc_List_Olist(_u17845), hAPP(c_List_Omap(_u17844, _u17845), _u17846), _u17847) )).
% 43.40/43.65 cnf(matrix-7351, plain, ( ~class_Groups_Ocomm__monoid__add(_u17848) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u17849), _u17850)) | ( c_Nitpick_Osetsum_H(_u17849, _u17848, _u17851, _u17850) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17848), hAPP(hAPP(c_List_Omap(_u17849, _u17848), _u17851), c_Hilbert__Choice_OEps(tc_List_Olist(_u17849), hAPP(hAPP(c_COMBS(tc_List_Olist(_u17849), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_List_Olist(_u17849)), c_fconj), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17849), tc_fun(_u17849, tc_HOL_Obool), tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_fun(_u17849, tc_HOL_Obool), tc_fun(tc_fun(_u17849, tc_HOL_Obool), tc_HOL_Obool), tc_List_Olist(_u17849)), c_fequal), c_List_Oset(_u17849))), _u17850))), c_List_Odistinct(_u17849)))))) )).
% 43.40/43.65 cnf(matrix-7352, plain, ( ~class_Groups_Ocomm__monoid__add(_u17848) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u17849), _u17850)) | ( c_Nitpick_Osetsum_H(_u17849, _u17848, _u17851, _u17850) = c_Groups_Ozero__class_Ozero(_u17848)) )).
% 43.40/43.65 cnf(matrix-7353, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17852), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17853)), _u17854))) | ( hAPP(c_Random_Opick(_u17853, hAPP(hAPP(c_List_Omap(_u17853, tc_prod(tc_Code__Numeral_Ocode__numeral, _u17853)), hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral, _u17853), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), _u17854)), hAPP(c_Code__Numeral_Oof__nat, _u17852)) = hAPP(hAPP(c_List_Onth(_u17853), _u17854), _u17852)) )).
% 43.40/43.65 cnf(matrix-7354, plain, ( ( c_Enum_Osublists(_u17855, hAPP(hAPP(c_List_Olist_OCons(_u17855), _u17856), _u17857)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(_u17855)), tc_List_Olist(tc_List_Olist(_u17855))), c_Enum_Osublists(_u17855, _u17857)), hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(_u17855)), tc_List_Olist(tc_List_Olist(_u17855)), tc_List_Olist(tc_List_Olist(_u17855))), hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(_u17855)), tc_fun(tc_List_Olist(tc_List_Olist(_u17855)), tc_List_Olist(tc_List_Olist(_u17855))), tc_List_Olist(tc_List_Olist(_u17855))), c_List_Oappend(tc_List_Olist(_u17855))), hAPP(c_List_Omap(tc_List_Olist(_u17855), tc_List_Olist(_u17855)), hAPP(c_List_Olist_OCons(_u17855), _u17856)))), c_COMBI(tc_List_Olist(tc_List_Olist(_u17855)))))) )).
% 43.40/43.65 cnf(matrix-7355, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17860)), hAPP(c_Code__Numeral_Oof__nat, _u17862))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17860), _u17862)) )).
% 43.40/43.65 cnf(matrix-7356, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u17861), _u17863)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17861)), hAPP(c_Code__Numeral_Oof__nat, _u17863))) )).
% 43.40/43.65 cnf(matrix-7357, 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))) )).
% 43.40/43.65 cnf(matrix-7358, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, _u17866) != hAPP(c_Code__Numeral_Oof__nat, _u17868)) | ( _u17866 = _u17868) )).
% 43.40/43.65 cnf(matrix-7359, plain, ( ( _u17867 != _u17869) | ( hAPP(c_Code__Numeral_Oof__nat, _u17867) = hAPP(c_Code__Numeral_Oof__nat, _u17869)) )).
% 43.40/43.65 cnf(matrix-7360, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17870)), hAPP(c_Code__Numeral_Oof__nat, _u17871)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), _u17870), _u17871))) )).
% 43.40/43.65 cnf(matrix-7361, plain, ( ( c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral)) )).
% 43.40/43.65 cnf(matrix-7362, 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))) )).
% 43.40/43.65 cnf(matrix-7363, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17872), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17873), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( hAPP(c_Code__Numeral_Oof__nat, _u17872) != hAPP(c_Code__Numeral_Oof__nat, _u17873)) | ( _u17872 = _u17873) )).
% 43.40/43.65 cnf(matrix-7364, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17872), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17873), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u17872 != _u17873) | ( hAPP(c_Code__Numeral_Oof__nat, _u17872) = hAPP(c_Code__Numeral_Oof__nat, _u17873)) )).
% 43.40/43.65 cnf(matrix-7365, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17874)), _u17875) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17876)), _u17877)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17874, _u17876), _u17874), c_Product__Type_Ofst(_u17874, _u17876)), hAPP(hAPP(c_List_Ozip(_u17874, _u17876), _u17875), _u17877)) = _u17875) )).
% 43.40/43.65 cnf(matrix-7366, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17878)), _u17879) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17880)), _u17881)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17878, _u17880), _u17880), c_Product__Type_Osnd(_u17878, _u17880)), hAPP(hAPP(c_List_Ozip(_u17878, _u17880), _u17879), _u17881)) = _u17881) )).
% 43.40/43.65 cnf(matrix-7367, 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)) )).
% 43.40/43.65 cnf(matrix-7368, plain, ( ( hAPP(hAPP(c_List_Ozip(_u17882, _u17883), hAPP(hAPP(c_List_Omap(tc_prod(_u17882, _u17883), _u17882), c_Product__Type_Ofst(_u17882, _u17883)), _u17884)), hAPP(hAPP(c_List_Omap(tc_prod(_u17882, _u17883), _u17883), c_Product__Type_Osnd(_u17882, _u17883)), _u17884)) = _u17884) )).
% 43.40/43.65 cnf(matrix-7369, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17885)), hAPP(c_Code__Numeral_Oof__nat, _u17886)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u17885), _u17886))) )).
% 43.40/43.65 cnf(matrix-7370, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17889)), hAPP(c_Code__Numeral_Oof__nat, _u17891))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17889), _u17891)) )).
% 43.40/43.65 cnf(matrix-7371, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u17890), _u17892)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), hAPP(c_Code__Numeral_Oof__nat, _u17890)), hAPP(c_Code__Numeral_Oof__nat, _u17892))) )).
% 43.40/43.65 cnf(matrix-7372, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u17893), _u17894)) | hBOOL(hAPP(c_List_Odistinct(tc_fun(_u17893, tc_HOL_Obool)), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u17893), tc_fun(_u17893, tc_HOL_Obool)), c_List_Oset(_u17893)), c_Enum_Osublists(_u17893, _u17894)))) )).
% 43.40/43.65 cnf(matrix-7373, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17895), hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17896), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17896)), _u17897)))) | hBOOL(hAPP(hAPP(c_member(_u17896), hAPP(c_Random_Opick(_u17896, _u17897), _u17895)), hAPP(c_List_Oset(_u17896), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17896), _u17896), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17896)), _u17897)))) )).
% 43.40/43.65 cnf(matrix-7374, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17898)), _u17899) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17900)), _u17901)) | ( hAPP(hAPP(c_List_Ozip(_u17898, _u17900), _u17899), _u17901) != _u17902) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17898, _u17900), _u17898), c_Product__Type_Ofst(_u17898, _u17900)), _u17902) = _u17899) )).
% 43.40/43.65 cnf(matrix-7375, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17898)), _u17899) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17900)), _u17901)) | ( hAPP(hAPP(c_List_Ozip(_u17898, _u17900), _u17899), _u17901) != _u17902) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17898, _u17900), _u17900), c_Product__Type_Osnd(_u17898, _u17900)), _u17902) = _u17901) )).
% 43.40/43.65 cnf(matrix-7376, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17898)), _u17899) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17900)), _u17901)) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17898, _u17900), _u17898), c_Product__Type_Ofst(_u17898, _u17900)), _u17902) != _u17899) | ( hAPP(hAPP(c_List_Omap(tc_prod(_u17898, _u17900), _u17900), c_Product__Type_Osnd(_u17898, _u17900)), _u17902) != _u17901) | ( hAPP(hAPP(c_List_Ozip(_u17898, _u17900), _u17899), _u17901) = _u17902) )).
% 43.40/43.65 cnf(matrix-7377, plain, ( ( c_List_Olist_Olist__size(_u17903, _u17904, _u17905) = 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(_u17903, tc_Nat_Onat), _u17904), _u17905))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u17903)), _u17905))) )).
% 43.40/43.65 cnf(matrix-7378, plain, ( ( _u17907 = 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)), _u17907)) )).
% 43.40/43.65 cnf(matrix-7379, 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)), _u17908)) | ( _u17908 != hAPP(c_Code__Numeral_Oof__nat, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.40/43.65 cnf(matrix-7380, plain, ( ~class_Groups_Ocomm__monoid__add(_u17909) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17909), _u17910), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17911, _u17912))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u17909), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17909), _u17910), c_List_Oupto(_u17911, _u17912)))) )).
% 43.40/43.65 cnf(matrix-7381, plain, ( ~class_Groups_Ocomm__monoid__add(_u17913) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u17913), hAPP(hAPP(c_List_Omap(tc_Int_Oint, _u17913), _u17914), c_List_Oupto(_u17915, _u17916))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint, _u17913), _u17914), hAPP(c_List_Oset(tc_Int_Oint), c_List_Oupto(_u17915, _u17916)))) )).
% 43.40/43.65 cnf(matrix-7382, 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, _u17917), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17917)), _u17918)))) | hBOOL(hAPP(hAPP(c_member(_u17917), hAPP(c_Product__Type_Ofst(_u17917, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_Random_Oselect__weight(_u17917, _u17918), _u17919))), hAPP(c_List_Oset(_u17917), hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral, _u17917), _u17917), c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral, _u17917)), _u17918)))) )).
% 43.40/43.65 cnf(matrix-7383, plain, ( ( c_Random_Oselect__weight(_u17920, _u17921) = 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(_u17920, 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, _u17920), tc_Code__Numeral_Ocode__numeral), c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral, _u17920)), _u17921)))), hAPP(hAPP(c_COMBB(_u17920, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17920, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17920, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random_Opick(_u17920, _u17921)))) )).
% 43.40/43.65 cnf(matrix-7384, plain, ( ( c_Random_Oselect(_u17922, _u17923) = 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(_u17922, 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(_u17922)), _u17923)))), hAPP(hAPP(c_COMBB(_u17922, tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u17922, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_Code__Numeral_Ocode__numeral), c_Product__Type_OPair(_u17922, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, _u17922, tc_Code__Numeral_Ocode__numeral), hAPP(c_List_Onth(_u17922), _u17923)), c_Code__Numeral_Onat__of)))) )).
% 43.40/43.65 cnf(matrix-7385, plain, ( ( hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, hAPP(c_Code__Numeral_Oof__nat, _u17924)), hAPP(c_Code__Numeral_Oof__nat, _u17925)) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u17924), _u17925))) )).
% 43.40/43.65 cnf(matrix-7386, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17926)) = _u17926) )).
% 43.40/43.65 cnf(matrix-7387, plain, ( ( hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Code__Numeral_Onat__of, _u17927)) = _u17927) )).
% 43.40/43.65 cnf(matrix-7388, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Code__Numeral_Oof__nat, _u17928)) = _u17928) )).
% 43.40/43.65 cnf(matrix-7389, plain, ( ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral), _u17929), _u17930) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17929)), hAPP(c_Code__Numeral_Onat__of, _u17930)))) )).
% 43.40/43.65 cnf(matrix-7390, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17933) != hAPP(c_Code__Numeral_Onat__of, _u17935)) | ( _u17933 = _u17935) )).
% 43.40/43.65 cnf(matrix-7391, plain, ( ( _u17934 != _u17936) | ( hAPP(c_Code__Numeral_Onat__of, _u17934) = hAPP(c_Code__Numeral_Onat__of, _u17936)) )).
% 43.40/43.65 cnf(matrix-7392, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17939) != hAPP(c_Code__Numeral_Onat__of, _u17941)) | ( _u17939 = _u17941) )).
% 43.40/43.65 cnf(matrix-7393, plain, ( ( _u17940 != _u17942) | ( hAPP(c_Code__Numeral_Onat__of, _u17940) = hAPP(c_Code__Numeral_Onat__of, _u17942)) )).
% 43.40/43.65 cnf(matrix-7394, 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))) )).
% 43.40/43.65 cnf(matrix-7395, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17945), _u17947)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17945)), hAPP(c_Code__Numeral_Onat__of, _u17947))) )).
% 43.40/43.65 cnf(matrix-7396, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17946)), hAPP(c_Code__Numeral_Onat__of, _u17948))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u17946), _u17948)) )).
% 43.40/43.65 cnf(matrix-7397, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17949)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-7398, plain, ( ( hAPP(c_Code__Numeral_Onat__of, hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral), _u17950)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u17950)) )).
% 43.40/43.65 cnf(matrix-7399, 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)) )).
% 43.40/43.65 cnf(matrix-7400, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17953), _u17955)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17953)), hAPP(c_Code__Numeral_Onat__of, _u17955))) )).
% 43.40/43.65 cnf(matrix-7401, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17954)), hAPP(c_Code__Numeral_Onat__of, _u17956))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u17954), _u17956)) )).
% 43.40/43.65 cnf(matrix-7402, plain, ( ( hAPP(c_Code__Numeral_Onat__of, _u17957) = c_Code__Numeral_Onat__of__aux(_u17957, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.40/43.65 cnf(matrix-7403, plain, ( ( c_Code__Numeral_Onat__of__aux(_u17958, _u17959) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17958)), _u17959)) )).
% 43.40/43.65 cnf(matrix-7404, plain, ( ( c_Code__Numeral_OSuc__code__numeral(_u17960) = hAPP(c_Code__Numeral_Oof__nat, hAPP(c_Nat_OSuc, hAPP(c_Code__Numeral_Onat__of, _u17960)))) )).
% 43.40/43.65 cnf(matrix-7405, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17961), _u17962) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17961)), hAPP(c_Code__Numeral_Onat__of, _u17962)))) )).
% 43.40/43.65 cnf(matrix-7406, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u17963), 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, _u17963)) = _u17963) )).
% 43.40/43.65 cnf(matrix-7407, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral), _u17964), _u17965) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17964)), hAPP(c_Code__Numeral_Onat__of, _u17965)))) )).
% 43.40/43.65 cnf(matrix-7408, plain, ( ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral), _u17966), _u17967) = hAPP(c_Code__Numeral_Oof__nat, hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat), hAPP(c_Code__Numeral_Onat__of, _u17966)), hAPP(c_Code__Numeral_Onat__of, _u17967)))) )).
% 43.40/43.65 cnf(matrix-7409, plain, ( ( c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral)) )).
% 43.40/43.65 cnf(matrix-7410, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u17968), _u17969) = hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral, _u17968), _u17969)) )).
% 43.40/43.65 cnf(matrix-7411, plain, ( ( c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral, _u17970, _u17971) = hAPP(c_Code__Numeral_Oof__nat, c_Divides_Odiv__class_Omod(tc_Nat_Onat, hAPP(c_Code__Numeral_Onat__of, _u17970), hAPP(c_Code__Numeral_Onat__of, _u17971)))) )).
% 43.40/43.65 cnf(matrix-7412, plain, ( ( _u17972 = 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, _u17972)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_Code__Numeral_Onat__of, _u17972))) )).
% 43.40/43.65 cnf(matrix-7413, plain, ( ~class_Groups_Omonoid__add(_u17974) | ~class_Groups_Oordered__ab__semigroup__add(_u17974) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17974), hAPP(c_List_Omonoid__add__class_Olistsum(_u17974), hAPP(hAPP(c_List_Omap(_u17975, _u17974), _u17977), _u17976))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17974), hAPP(hAPP(c_List_Omap(_u17975, _u17974), _u17978), _u17976)))) | hBOOL(hAPP(hAPP(c_member(_u17975), skolem459(_u17978, _u17977, _u17976, _u17975, _u17974)), hAPP(c_List_Oset(_u17975), _u17976))) )).
% 43.40/43.65 cnf(matrix-7414, plain, ( ~class_Groups_Omonoid__add(_u17974) | ~class_Groups_Oordered__ab__semigroup__add(_u17974) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17974), hAPP(c_List_Omonoid__add__class_Olistsum(_u17974), hAPP(hAPP(c_List_Omap(_u17975, _u17974), _u17977), _u17976))), hAPP(c_List_Omonoid__add__class_Olistsum(_u17974), hAPP(hAPP(c_List_Omap(_u17975, _u17974), _u17978), _u17976)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u17974), hAPP(_u17977, skolem459(_u17978, _u17977, _u17976, _u17975, _u17974))), hAPP(_u17978, skolem459(_u17978, _u17977, _u17976, _u17975, _u17974)))) )).
% 43.40/43.65 cnf(matrix-7415, plain, ( ( hAPP(c_New__DSequence_Opos__not__seq(_u17979), _u17980) = c_Lazy__Sequence_Ohb__not__seq(hAPP(_u17979, 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)))), _u17980)))) )).
% 43.40/43.65 cnf(matrix-7416, plain, ( ( c_List_Opartition(_u17981, _u17982, _u17983) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u17981), tc_List_Olist(_u17981)), _u17984), _u17985)) | ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u17981, tc_HOL_Obool)), hAPP(c_List_Oset(_u17981), _u17984)), hAPP(c_List_Oset(_u17981), _u17985)) = hAPP(c_List_Oset(_u17981), _u17983)) )).
% 43.40/43.65 cnf(matrix-7417, plain, ( ( c_List_Olistsp(_u17986, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u17986, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u17986, tc_fun(_u17986, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17986)), _u17987)), hAPP(hAPP(c_COMBC(_u17986, tc_fun(_u17986, tc_HOL_Obool), tc_HOL_Obool), c_member(_u17986)), _u17988))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u17986), tc_HOL_Obool)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17986), tc_fun(tc_List_Olist(_u17986), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17986))), c_List_Olists(_u17986, _u17987))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u17986), tc_fun(tc_List_Olist(_u17986), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_List_Olist(_u17986))), c_List_Olists(_u17986, _u17988)))) )).
% 43.40/43.65 cnf(matrix-7418, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17989, _u17990), c_List_Olist_ONil(_u17989))) )).
% 43.40/43.65 cnf(matrix-7419, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17991, _u17992), c_List_Olist_ONil(_u17991))) )).
% 43.40/43.65 cnf(matrix-7420, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u17998, _u18000), _u18002)) | ~hBOOL(hAPP(hAPP(c_member(_u17998), _u17993), hAPP(c_List_Oset(_u17998), _u18002))) | hBOOL(hAPP(_u18000, _u17993)) )).
% 43.40/43.65 cnf(matrix-7421, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17999, _u18001), _u18003)) | hBOOL(hAPP(hAPP(c_member(_u17999), skolem460(_u18003, _u18001, _u17999)), hAPP(c_List_Oset(_u17999), _u18003))) )).
% 43.40/43.65 cnf(matrix-7422, plain, ( hBOOL(hAPP(c_List_Olistsp(_u17999, _u18001), _u18003)) | ~hBOOL(hAPP(_u18001, skolem460(_u18003, _u18001, _u17999))) )).
% 43.40/43.65 cnf(matrix-7423, plain, ( ( c_List_Olistsp(_u18004, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18004, tc_HOL_Obool)), _u18005), _u18006)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(_u18004), tc_HOL_Obool)), c_List_Olistsp(_u18004, _u18005)), c_List_Olistsp(_u18004, _u18006))) )).
% 43.40/43.65 cnf(matrix-7424, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18007, _u18008), _u18009)) | ~hBOOL(hAPP(c_List_Olistsp(_u18007, _u18010), _u18009)) | hBOOL(hAPP(c_List_Olistsp(_u18007, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18007, tc_HOL_Obool)), _u18008), _u18010)), _u18009)) )).
% 43.40/43.65 cnf(matrix-7425, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18015, hAPP(hAPP(c_COMBS(_u18015, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18015), c_fconj), _u18017)), _u18019)), _u18021)) | hBOOL(hAPP(c_List_Olistsp(_u18015, _u18017), _u18021)) )).
% 43.40/43.65 cnf(matrix-7426, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18015, hAPP(hAPP(c_COMBS(_u18015, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18015), c_fconj), _u18017)), _u18019)), _u18021)) | hBOOL(hAPP(c_List_Olistsp(_u18015, _u18019), _u18021)) )).
% 43.40/43.65 cnf(matrix-7427, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18016, _u18018), _u18022)) | ~hBOOL(hAPP(c_List_Olistsp(_u18016, _u18020), _u18022)) | hBOOL(hAPP(c_List_Olistsp(_u18016, hAPP(hAPP(c_COMBS(_u18016, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18016), c_fconj), _u18018)), _u18020)), _u18022)) )).
% 43.40/43.65 cnf(matrix-7428, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18027, _u18029), hAPP(hAPP(c_List_Olist_OCons(_u18027), _u18031), _u18033))) | hBOOL(hAPP(_u18029, _u18031)) )).
% 43.40/43.65 cnf(matrix-7429, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18027, _u18029), hAPP(hAPP(c_List_Olist_OCons(_u18027), _u18031), _u18033))) | hBOOL(hAPP(c_List_Olistsp(_u18027, _u18029), _u18033)) )).
% 43.40/43.65 cnf(matrix-7430, plain, ( ~hBOOL(hAPP(_u18030, _u18032)) | ~hBOOL(hAPP(c_List_Olistsp(_u18028, _u18030), _u18034)) | hBOOL(hAPP(c_List_Olistsp(_u18028, _u18030), hAPP(hAPP(c_List_Olist_OCons(_u18028), _u18032), _u18034))) )).
% 43.40/43.65 cnf(matrix-7431, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18039, _u18041), hAPP(hAPP(c_List_Oappend(_u18039), _u18043), _u18045))) | hBOOL(hAPP(c_List_Olistsp(_u18039, _u18041), _u18043)) )).
% 43.40/43.65 cnf(matrix-7432, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18039, _u18041), hAPP(hAPP(c_List_Oappend(_u18039), _u18043), _u18045))) | hBOOL(hAPP(c_List_Olistsp(_u18039, _u18041), _u18045)) )).
% 43.40/43.65 cnf(matrix-7433, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18040, _u18042), _u18044)) | ~hBOOL(hAPP(c_List_Olistsp(_u18040, _u18042), _u18046)) | hBOOL(hAPP(c_List_Olistsp(_u18040, _u18042), hAPP(hAPP(c_List_Oappend(_u18040), _u18044), _u18046))) )).
% 43.40/43.65 cnf(matrix-7434, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18047, tc_HOL_Obool)), _u18048), _u18049)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(_u18047), tc_HOL_Obool)), c_List_Olistsp(_u18047, _u18048)), c_List_Olistsp(_u18047, _u18049))) )).
% 43.40/43.65 cnf(matrix-7435, plain, ( ( c_List_Opartition(_u18052, _u18053, _u18054) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18052), tc_List_Olist(_u18052)), _u18055), _u18056)) | ~hBOOL(hAPP(hAPP(c_member(_u18052), _u18050), hAPP(c_List_Oset(_u18052), _u18055))) | hBOOL(hAPP(_u18053, _u18050)) )).
% 43.40/43.65 cnf(matrix-7436, plain, ( ( c_List_Opartition(_u18052, _u18053, _u18054) != hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18052), tc_List_Olist(_u18052)), _u18055), _u18056)) | ~hBOOL(hAPP(hAPP(c_member(_u18052), _u18051), hAPP(c_List_Oset(_u18052), _u18056))) | ~hBOOL(hAPP(_u18053, _u18051)) )).
% 43.40/43.65 cnf(matrix-7437, plain, ( ( c_List_Opartition(_u18057, _u18058, c_List_Olist_ONil(_u18057)) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18057), tc_List_Olist(_u18057)), c_List_Olist_ONil(_u18057)), c_List_Olist_ONil(_u18057))) )).
% 43.40/43.65 cnf(matrix-7438, plain, ( ~hBOOL(hAPP(c_List_Olistsp(_u18062, hAPP(hAPP(c_COMBC(_u18062, tc_fun(_u18062, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18062)), _u18064)), _u18066)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18062)), _u18066), c_List_Olists(_u18062, _u18064))) )).
% 43.40/43.65 cnf(matrix-7439, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18063)), _u18067), c_List_Olists(_u18063, _u18065))) | hBOOL(hAPP(c_List_Olistsp(_u18063, hAPP(hAPP(c_COMBC(_u18063, tc_fun(_u18063, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18063)), _u18065)), _u18067)) )).
% 43.40/43.65 cnf(matrix-7440, plain, ( ( c_List_Opartition(_u18068, _u18069, hAPP(hAPP(c_List_Olist_OCons(_u18068), _u18070), _u18071)) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18068), tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), hAPP(hAPP(c_COMBS(tc_List_Olist(_u18068), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18068), tc_fun(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), tc_fun(tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), tc_List_Olist(_u18068)), c_COMBS(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_fun(tc_List_Olist(_u18068), tc_fun(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), tc_List_Olist(_u18068)), hAPP(c_COMBB(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_fun(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_List_Olist(_u18068)), hAPP(c_If(tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), hAPP(_u18069, _u18070)))), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18068), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_List_Olist(_u18068)), c_Product__Type_OPair(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), hAPP(c_List_Olist_OCons(_u18068), _u18070))))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18068), tc_fun(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068))), tc_fun(tc_fun(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_fun(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), tc_List_Olist(_u18068)), c_COMBB(tc_List_Olist(_u18068), tc_prod(tc_List_Olist(_u18068), tc_List_Olist(_u18068)), tc_List_Olist(_u18068))), c_Product__Type_OPair(tc_List_Olist(_u18068), tc_List_Olist(_u18068)))), hAPP(c_List_Olist_OCons(_u18068), _u18070)))), c_List_Opartition(_u18068, _u18069, _u18071))) )).
% 43.40/43.65 cnf(matrix-7441, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18072)), _u18073), c_List_Olists(_u18072, _u18074))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18072)), _u18073), c_List_Olists(_u18072, _u18075))) | hBOOL(hAPP(c_List_Olistsp(_u18072, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u18072, tc_HOL_Obool)), hAPP(hAPP(c_COMBC(_u18072, tc_fun(_u18072, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18072)), _u18074)), hAPP(hAPP(c_COMBC(_u18072, tc_fun(_u18072, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18072)), _u18075))), _u18073)) )).
% 43.40/43.65 cnf(matrix-7442, plain, ( ~c_List_Olist__all2(_u18083, _u18085, _u18087, _u18089, _u18091) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18083)), _u18089) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18085)), _u18091)) )).
% 43.40/43.65 cnf(matrix-7443, plain, ( ~c_List_Olist__all2(_u18083, _u18085, _u18087, _u18089, _u18091) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u18083, _u18085)), _u18076), hAPP(c_List_Oset(tc_prod(_u18083, _u18085)), hAPP(hAPP(c_List_Ozip(_u18083, _u18085), _u18089), _u18091)))) | hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18083, _u18085, tc_HOL_Obool), _u18087), _u18076)) )).
% 43.40/43.65 cnf(matrix-7444, plain, ( c_List_Olist__all2(_u18084, _u18086, _u18088, _u18090, _u18092) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18084)), _u18090) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18086)), _u18092)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18084, _u18086)), skolem461(_u18092, _u18090, _u18088, _u18086, _u18084)), hAPP(c_List_Oset(tc_prod(_u18084, _u18086)), hAPP(hAPP(c_List_Ozip(_u18084, _u18086), _u18090), _u18092)))) )).
% 43.40/43.65 cnf(matrix-7445, plain, ( c_List_Olist__all2(_u18084, _u18086, _u18088, _u18090, _u18092) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18084)), _u18090) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18086)), _u18092)) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18084, _u18086, tc_HOL_Obool), _u18088), skolem461(_u18092, _u18090, _u18088, _u18086, _u18084))) )).
% 43.40/43.65 cnf(matrix-7446, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18094), _u18097), hAPP(c_List_Oset(_u18094), _u18095))) | hBOOL(hAPP(_u18096, _u18097)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem462(_u18097, _u18096, _u18095, _u18094)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18094)), _u18095))) )).
% 43.40/43.65 cnf(matrix-7447, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18094), _u18097), hAPP(c_List_Oset(_u18094), _u18095))) | hBOOL(hAPP(_u18096, _u18097)) | ~hBOOL(hAPP(_u18096, hAPP(hAPP(c_List_Onth(_u18094), _u18095), skolem462(_u18097, _u18096, _u18095, _u18094)))) )).
% 43.40/43.65 cnf(matrix-7448, plain, ( ~c_List_Olist__all2(_u18105, _u18107, _u18109, hAPP(hAPP(c_List_Omap(_u18111, _u18105), _u18113), _u18115), _u18117) | c_List_Olist__all2(_u18111, _u18107, hAPP(hAPP(c_COMBB(_u18105, tc_fun(_u18107, tc_HOL_Obool), _u18111), _u18109), _u18113), _u18115, _u18117) )).
% 43.40/43.65 cnf(matrix-7449, plain, ( ~c_List_Olist__all2(_u18112, _u18108, hAPP(hAPP(c_COMBB(_u18106, tc_fun(_u18108, tc_HOL_Obool), _u18112), _u18110), _u18114), _u18116, _u18118) | c_List_Olist__all2(_u18106, _u18108, _u18110, hAPP(hAPP(c_List_Omap(_u18112, _u18106), _u18114), _u18116), _u18118) )).
% 43.40/43.65 cnf(matrix-7450, plain, ( ~c_List_Olist__all2(_u18126, _u18128, _u18130, _u18132, hAPP(hAPP(c_List_Omap(_u18134, _u18128), _u18136), _u18138)) | c_List_Olist__all2(_u18126, _u18134, hAPP(hAPP(c_COMBC(_u18126, tc_fun(_u18134, _u18128), tc_fun(_u18134, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18128, tc_HOL_Obool), tc_fun(tc_fun(_u18134, _u18128), tc_fun(_u18134, tc_HOL_Obool)), _u18126), c_COMBB(_u18128, tc_HOL_Obool, _u18134)), _u18130)), _u18136), _u18132, _u18138) )).
% 43.40/43.65 cnf(matrix-7451, plain, ( ~c_List_Olist__all2(_u18127, _u18135, hAPP(hAPP(c_COMBC(_u18127, tc_fun(_u18135, _u18129), tc_fun(_u18135, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u18129, tc_HOL_Obool), tc_fun(tc_fun(_u18135, _u18129), tc_fun(_u18135, tc_HOL_Obool)), _u18127), c_COMBB(_u18129, tc_HOL_Obool, _u18135)), _u18131)), _u18137), _u18133, _u18139) | c_List_Olist__all2(_u18127, _u18129, _u18131, _u18133, hAPP(hAPP(c_List_Omap(_u18135, _u18129), _u18137), _u18139)) )).
% 43.40/43.65 cnf(matrix-7452, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18140)), _u18141) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18142)), _u18143)) | ~c_List_Olist__all2(_u18140, _u18142, _u18144, hAPP(hAPP(c_List_Oappend(_u18140), _u18141), _u18145), hAPP(hAPP(c_List_Oappend(_u18142), _u18143), _u18146)) | c_List_Olist__all2(_u18140, _u18142, _u18144, _u18141, _u18143) )).
% 43.40/43.65 cnf(matrix-7453, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18140)), _u18141) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18142)), _u18143)) | ~c_List_Olist__all2(_u18140, _u18142, _u18144, hAPP(hAPP(c_List_Oappend(_u18140), _u18141), _u18145), hAPP(hAPP(c_List_Oappend(_u18142), _u18143), _u18146)) | c_List_Olist__all2(_u18140, _u18142, _u18144, _u18145, _u18146) )).
% 43.40/43.65 cnf(matrix-7454, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18140)), _u18141) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18142)), _u18143)) | ~c_List_Olist__all2(_u18140, _u18142, _u18144, _u18141, _u18143) | ~c_List_Olist__all2(_u18140, _u18142, _u18144, _u18145, _u18146) | c_List_Olist__all2(_u18140, _u18142, _u18144, hAPP(hAPP(c_List_Oappend(_u18140), _u18141), _u18145), hAPP(hAPP(c_List_Oappend(_u18142), _u18143), _u18146)) )).
% 43.40/43.65 cnf(matrix-7455, plain, ( ~c_List_Olist__all2(_u18147, _u18148, _u18149, _u18150, _u18151) | ~c_List_Olist__all2(_u18147, _u18148, _u18149, _u18152, _u18153) | c_List_Olist__all2(_u18147, _u18148, _u18149, hAPP(hAPP(c_List_Oappend(_u18147), _u18150), _u18152), hAPP(hAPP(c_List_Oappend(_u18148), _u18151), _u18153)) )).
% 43.40/43.65 cnf(matrix-7456, plain, ( ~c_List_Olist__all2(_u18154, _u18155, _u18156, _u18157, _u18158) | c_List_Olist__all2(_u18154, _u18155, _u18156, hAPP(hAPP(c_List_Odrop(_u18154), _u18159), _u18157), hAPP(hAPP(c_List_Odrop(_u18155), _u18159), _u18158)) )).
% 43.40/43.65 cnf(matrix-7457, plain, ( ~c_List_Olist__all2(_u18167, _u18169, _u18171, hAPP(hAPP(c_List_Olist_OCons(_u18167), _u18173), _u18175), hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18177), _u18179)) | hBOOL(hAPP(hAPP(_u18171, _u18173), _u18177)) )).
% 43.40/43.65 cnf(matrix-7458, plain, ( ~c_List_Olist__all2(_u18167, _u18169, _u18171, hAPP(hAPP(c_List_Olist_OCons(_u18167), _u18173), _u18175), hAPP(hAPP(c_List_Olist_OCons(_u18169), _u18177), _u18179)) | c_List_Olist__all2(_u18167, _u18169, _u18171, _u18175, _u18179) )).
% 43.40/43.65 cnf(matrix-7459, plain, ( ~hBOOL(hAPP(hAPP(_u18172, _u18174), _u18178)) | ~c_List_Olist__all2(_u18168, _u18170, _u18172, _u18176, _u18180) | c_List_Olist__all2(_u18168, _u18170, _u18172, hAPP(hAPP(c_List_Olist_OCons(_u18168), _u18174), _u18176), hAPP(hAPP(c_List_Olist_OCons(_u18170), _u18178), _u18180)) )).
% 43.40/43.65 cnf(matrix-7460, plain, ( ( _u18184 != _u18186) | c_List_Olist__all2(_u18188, _u18188, c_fequal, _u18184, _u18186) )).
% 43.40/43.65 cnf(matrix-7461, plain, ( ~c_List_Olist__all2(_u18189, _u18189, c_fequal, _u18185, _u18187) | ( _u18185 = _u18187) )).
% 43.40/43.65 cnf(matrix-7462, plain, ( ~c_List_Olist__all2(_u18190, _u18191, _u18192, _u18193, _u18194) | c_List_Olist__all2(_u18190, _u18191, _u18192, hAPP(hAPP(c_List_Otake(_u18190), _u18195), _u18193), hAPP(hAPP(c_List_Otake(_u18191), _u18195), _u18194)) )).
% 43.40/43.65 cnf(matrix-7463, plain, ( ~c_List_Olist__all2(_u18196, _u18197, _u18198, _u18199, _u18200) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18196)), _u18199) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18197)), _u18200)) )).
% 43.40/43.65 cnf(matrix-7464, plain, ( ( _u18211 = c_List_Olist_ONil(_u18207)) | ~c_List_Olist__all2(_u18205, _u18207, _u18209, c_List_Olist_ONil(_u18205), _u18211) )).
% 43.40/43.65 cnf(matrix-7465, plain, ( ( _u18212 != c_List_Olist_ONil(_u18208)) | c_List_Olist__all2(_u18206, _u18208, _u18210, c_List_Olist_ONil(_u18206), _u18212) )).
% 43.40/43.65 cnf(matrix-7466, plain, ( ~c_List_Olist__all2(_u18217, _u18219, _u18221, _u18223, c_List_Olist_ONil(_u18219)) | ( _u18223 = c_List_Olist_ONil(_u18217)) )).
% 43.40/43.65 cnf(matrix-7467, plain, ( ( _u18224 != c_List_Olist_ONil(_u18218)) | c_List_Olist__all2(_u18218, _u18220, _u18222, _u18224, c_List_Olist_ONil(_u18220)) )).
% 43.40/43.65 cnf(matrix-7468, plain, ( ~c_List_Olist__all2(_u18232, _u18234, _u18236, _u18238, _u18240) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18238) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18234)), _u18240)) )).
% 43.40/43.65 cnf(matrix-7469, plain, ( ~c_List_Olist__all2(_u18232, _u18234, _u18236, _u18238, _u18240) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18225), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18232)), _u18238))) | hBOOL(hAPP(hAPP(_u18236, hAPP(hAPP(c_List_Onth(_u18232), _u18238), _u18225)), hAPP(hAPP(c_List_Onth(_u18234), _u18240), _u18225))) )).
% 43.40/43.65 cnf(matrix-7470, plain, ( c_List_Olist__all2(_u18233, _u18235, _u18237, _u18239, _u18241) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18239) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18235)), _u18241)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem463(_u18241, _u18239, _u18237, _u18235, _u18233)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18239))) )).
% 43.40/43.65 cnf(matrix-7471, plain, ( c_List_Olist__all2(_u18233, _u18235, _u18237, _u18239, _u18241) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18233)), _u18239) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18235)), _u18241)) | ~hBOOL(hAPP(hAPP(_u18237, hAPP(hAPP(c_List_Onth(_u18233), _u18239), skolem463(_u18241, _u18239, _u18237, _u18235, _u18233))), hAPP(hAPP(c_List_Onth(_u18235), _u18241), skolem463(_u18241, _u18239, _u18237, _u18235, _u18233)))) )).
% 43.40/43.65 cnf(matrix-7472, plain, ( ~c_List_Olist__all2(_u18242, _u18243, _u18244, _u18245, _u18246) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18247), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18242)), _u18245))) | hBOOL(hAPP(hAPP(_u18244, hAPP(hAPP(c_List_Onth(_u18242), _u18245), _u18247)), hAPP(hAPP(c_List_Onth(_u18243), _u18246), _u18247))) )).
% 43.40/43.65 cnf(matrix-7473, plain, ( ~c_List_Olist__all2(_u18248, _u18249, _u18250, _u18251, _u18252) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18253), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18249)), _u18252))) | hBOOL(hAPP(hAPP(_u18250, hAPP(hAPP(c_List_Onth(_u18248), _u18251), _u18253)), hAPP(hAPP(c_List_Onth(_u18249), _u18252), _u18253))) )).
% 43.40/43.65 cnf(matrix-7474, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18254), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18255)), _u18256))) | ~c_List_Olist__all2(_u18255, _u18257, _u18258, _u18256, _u18259) | ~hBOOL(hAPP(hAPP(_u18258, _u18260), _u18261)) | c_List_Olist__all2(_u18255, _u18257, _u18258, hAPP(hAPP(c_List_Olist__update(_u18255, _u18256), _u18254), _u18260), hAPP(hAPP(c_List_Olist__update(_u18257, _u18259), _u18254), _u18261)) )).
% 43.40/43.65 cnf(matrix-7475, plain, ( ~c_List_Olist__all2(_u18262, _u18263, _u18264, _u18265, _u18266) | ~hBOOL(hAPP(hAPP(_u18264, _u18267), _u18268)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18269), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18263)), _u18266))) | c_List_Olist__all2(_u18262, _u18263, _u18264, hAPP(hAPP(c_List_Olist__update(_u18262, _u18265), _u18269), _u18267), hAPP(hAPP(c_List_Olist__update(_u18263, _u18266), _u18269), _u18268)) )).
% 43.40/43.65 cnf(matrix-7476, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18271)), _u18273) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18272)), _u18274)) | c_List_Olist__all2(_u18271, _u18272, _u18275, _u18273, _u18274) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u18271, _u18272)), skolem464(_u18275, _u18274, _u18273, _u18272, _u18271)), hAPP(c_List_Oset(tc_prod(_u18271, _u18272)), hAPP(hAPP(c_List_Ozip(_u18271, _u18272), _u18273), _u18274)))) )).
% 43.40/43.65 cnf(matrix-7477, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18271)), _u18273) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18272)), _u18274)) | c_List_Olist__all2(_u18271, _u18272, _u18275, _u18273, _u18274) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u18271, _u18272, tc_HOL_Obool), _u18275), skolem464(_u18275, _u18274, _u18273, _u18272, _u18271))) )).
% 43.40/43.65 cnf(matrix-7478, plain, ( ~c_Finite__Set_Ofun__left__comm(_u18276, _u18277, _u18278) | ( hAPP(hAPP(c_Finite__Set_Ofold(_u18276, _u18277, _u18278), _u18279), hAPP(c_List_Oset(_u18276), _u18280)) = hAPP(c_List_Ofoldl(_u18277, _u18276, hAPP(c_COMBC(_u18276, _u18277, _u18277), _u18278), _u18279), c_List_Oremdups(_u18276, _u18280))) )).
% 43.40/43.65 cnf(matrix-7479, plain, ( hBOOL(hAPP(c_List_Odistinct(_u18281), c_List_Oremdups(_u18281, _u18282))) )).
% 43.40/43.65 cnf(matrix-7480, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18283)), c_List_Oremdups(_u18283, _u18284))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18283)), _u18284))) )).
% 43.40/43.65 cnf(matrix-7481, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18285), _u18286)) | ( c_List_Oremove1(_u18285, _u18287, c_List_Oremdups(_u18285, _u18286)) = c_List_Oremdups(_u18285, c_List_Oremove1(_u18285, _u18287, _u18286))) )).
% 43.40/43.65 cnf(matrix-7482, plain, ( ( c_List_Oremdups(_u18290, _u18292) != c_List_Olist_ONil(_u18290)) | ( _u18292 = c_List_Olist_ONil(_u18290)) )).
% 43.40/43.65 cnf(matrix-7483, plain, ( ( _u18293 != c_List_Olist_ONil(_u18291)) | ( c_List_Oremdups(_u18291, _u18293) = c_List_Olist_ONil(_u18291)) )).
% 43.40/43.65 cnf(matrix-7484, plain, ( ( c_List_Olist_ONil(_u18296) != c_List_Oremdups(_u18296, _u18298)) | ( _u18298 = c_List_Olist_ONil(_u18296)) )).
% 43.40/43.65 cnf(matrix-7485, plain, ( ( _u18299 != c_List_Olist_ONil(_u18297)) | ( c_List_Olist_ONil(_u18297) = c_List_Oremdups(_u18297, _u18299)) )).
% 43.40/43.65 cnf(matrix-7486, plain, ( ( c_List_Oremdups(_u18300, c_List_Olist_ONil(_u18300)) = c_List_Olist_ONil(_u18300)) )).
% 43.40/43.65 cnf(matrix-7487, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18303)), c_List_Oremdups(_u18303, _u18305)) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18303)), _u18305)) | ( c_List_Oremdups(_u18303, _u18305) = _u18305) )).
% 43.40/43.65 cnf(matrix-7488, plain, ( ( c_List_Oremdups(_u18304, _u18306) != _u18306) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18304)), c_List_Oremdups(_u18304, _u18306)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18304)), _u18306)) )).
% 43.40/43.65 cnf(matrix-7489, plain, ( ( hAPP(c_List_Oset(_u18307), c_List_Oremdups(_u18307, _u18308)) = hAPP(c_List_Oset(_u18307), _u18308)) )).
% 43.40/43.65 cnf(matrix-7490, plain, ( ( c_List_Oremdups(_u18309, c_List_Oremdups(_u18309, _u18310)) = c_List_Oremdups(_u18309, _u18310)) )).
% 43.40/43.65 cnf(matrix-7491, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18311), _u18312)) | ( c_List_Oremdups(_u18311, _u18312) = _u18312) )).
% 43.40/43.65 cnf(matrix-7492, plain, ( ( c_List_Oremdups(_u18315, _u18317) != _u18317) | hBOOL(hAPP(c_List_Odistinct(_u18315), _u18317)) )).
% 43.40/43.65 cnf(matrix-7493, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18316), _u18318)) | ( c_List_Oremdups(_u18316, _u18318) = _u18318) )).
% 43.40/43.65 cnf(matrix-7494, plain, ( ( c_List_Oremdups(_u18319, hAPP(hAPP(c_List_Omap(_u18320, _u18319), _u18321), c_List_Oremdups(_u18320, _u18322))) = c_List_Oremdups(_u18319, hAPP(hAPP(c_List_Omap(_u18320, _u18319), _u18321), _u18322))) )).
% 43.40/43.65 cnf(matrix-7495, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18326), _u18328), hAPP(c_List_Oset(_u18326), _u18330))) | ( c_List_Oremdups(_u18326, hAPP(hAPP(c_List_Olist_OCons(_u18326), _u18328), _u18330)) = c_List_Oremdups(_u18326, _u18330)) )).
% 43.40/43.65 cnf(matrix-7496, plain, ( hBOOL(hAPP(hAPP(c_member(_u18327), _u18329), hAPP(c_List_Oset(_u18327), _u18331))) | ( c_List_Oremdups(_u18327, hAPP(hAPP(c_List_Olist_OCons(_u18327), _u18329), _u18331)) = hAPP(hAPP(c_List_Olist_OCons(_u18327), _u18329), c_List_Oremdups(_u18327, _u18331))) )).
% 43.40/43.65 cnf(matrix-7497, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18332)), c_List_Oremdups(_u18332, _u18333)) = hAPP(c_Finite__Set_Ocard(_u18332), hAPP(c_List_Oset(_u18332), _u18333))) )).
% 43.40/43.65 cnf(matrix-7498, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18334)), c_List_Oremdups(_u18334, c_List_Oconcat(_u18334, _u18335))) = hAPP(c_Finite__Set_Ocard(_u18334), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18334), tc_fun(_u18334, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18334)), _u18335)), c_List_Oset(_u18334)))) )).
% 43.40/43.65 cnf(matrix-7499, plain, ( ~class_Orderings_Olinorder(_u18336) | ( c_List_Olinorder__class_Osorted__list__of__set(_u18336, hAPP(c_List_Oset(_u18336), _u18337)) = c_List_Olinorder__class_Osort__key(_u18336, _u18336, c_COMBI(_u18336), c_List_Oremdups(_u18336, _u18337))) )).
% 43.40/43.65 cnf(matrix-7500, plain, ( ( c_List_Oconcat(_u18338, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18338)), _u18339), _u18340)) = hAPP(hAPP(c_List_Oappend(_u18338), _u18339), c_List_Oconcat(_u18338, _u18340))) )).
% 43.40/43.65 cnf(matrix-7501, plain, ( ( c_List_Oconcat(_u18341, _u18342) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18341), tc_List_Olist(_u18341), c_List_Oappend(_u18341), c_List_Olist_ONil(_u18341)), _u18342)) )).
% 43.40/43.65 cnf(matrix-7502, plain, ( ( hAPP(c_List_Ofoldl(tc_List_Olist(_u18343), tc_List_Olist(_u18343), c_List_Oappend(_u18343), _u18344), _u18345) = hAPP(hAPP(c_List_Oappend(_u18343), _u18344), c_List_Oconcat(_u18343, _u18345))) )).
% 43.40/43.65 cnf(matrix-7503, plain, ( ~class_Orderings_Olinorder(_u18346) | ~hBOOL(hAPP(c_List_Odistinct(_u18347), c_List_Olinorder__class_Osort__key(_u18347, _u18346, _u18348, _u18349))) | hBOOL(hAPP(c_List_Odistinct(_u18347), _u18349)) )).
% 43.40/43.65 cnf(matrix-7504, plain, ( ~class_Orderings_Olinorder(_u18346) | ~hBOOL(hAPP(c_List_Odistinct(_u18347), _u18349)) | hBOOL(hAPP(c_List_Odistinct(_u18347), c_List_Olinorder__class_Osort__key(_u18347, _u18346, _u18348, _u18349))) )).
% 43.40/43.65 cnf(matrix-7505, plain, ( ( c_List_Oconcat(_u18350, c_List_Olist_ONil(tc_List_Olist(_u18350))) = c_List_Olist_ONil(_u18350)) )).
% 43.40/43.65 cnf(matrix-7506, plain, ( ~class_Orderings_Olinorder(_u18351) | ( hAPP(c_List_Oset(_u18352), c_List_Olinorder__class_Osort__key(_u18352, _u18351, _u18353, _u18354)) = hAPP(c_List_Oset(_u18352), _u18354)) )).
% 43.40/43.65 cnf(matrix-7507, plain, ( ~class_Orderings_Olinorder(_u18355) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18356)), c_List_Olinorder__class_Osort__key(_u18356, _u18355, _u18357, _u18358)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18356)), _u18358)) )).
% 43.40/43.65 cnf(matrix-7508, plain, ( ~class_Orderings_Olinorder(_u18359) | ( c_List_Olinorder__class_Osort__key(_u18360, _u18359, _u18361, c_List_Olist_ONil(_u18360)) = c_List_Olist_ONil(_u18360)) )).
% 43.40/43.65 cnf(matrix-7509, plain, ( ( c_List_Oconcat(_u18366, _u18368) != c_List_Olist_ONil(_u18366)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18366)), _u18362), hAPP(c_List_Oset(tc_List_Olist(_u18366)), _u18368))) | ( _u18362 = c_List_Olist_ONil(_u18366)) )).
% 43.40/43.65 cnf(matrix-7510, plain, ( ( c_List_Oconcat(_u18367, _u18369) = c_List_Olist_ONil(_u18367)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18367)), skolem465(_u18369, _u18367)), hAPP(c_List_Oset(tc_List_Olist(_u18367)), _u18369))) )).
% 43.40/43.65 cnf(matrix-7511, plain, ( ( c_List_Oconcat(_u18367, _u18369) = c_List_Olist_ONil(_u18367)) | ( skolem465(_u18369, _u18367) != c_List_Olist_ONil(_u18367)) )).
% 43.40/43.65 cnf(matrix-7512, plain, ( ( c_List_Olist_ONil(_u18374) != c_List_Oconcat(_u18374, _u18376)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18374)), _u18370), hAPP(c_List_Oset(tc_List_Olist(_u18374)), _u18376))) | ( _u18370 = c_List_Olist_ONil(_u18374)) )).
% 43.40/43.65 cnf(matrix-7513, plain, ( ( c_List_Olist_ONil(_u18375) = c_List_Oconcat(_u18375, _u18377)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18375)), skolem466(_u18377, _u18375)), hAPP(c_List_Oset(tc_List_Olist(_u18375)), _u18377))) )).
% 43.40/43.65 cnf(matrix-7514, plain, ( ( c_List_Olist_ONil(_u18375) = c_List_Oconcat(_u18375, _u18377)) | ( skolem466(_u18377, _u18375) != c_List_Olist_ONil(_u18375)) )).
% 43.40/43.65 cnf(matrix-7515, plain, ( ( hAPP(hAPP(c_List_Omap(_u18378, _u18379), _u18380), c_List_Oconcat(_u18378, _u18381)) = c_List_Oconcat(_u18379, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18378), tc_List_Olist(_u18379)), hAPP(c_List_Omap(_u18378, _u18379), _u18380)), _u18381))) )).
% 43.40/43.65 cnf(matrix-7516, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18382)), c_List_Oconcat(_u18382, _u18383)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18382), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18382))), _u18383))) )).
% 43.40/43.65 cnf(matrix-7517, plain, ( ( hAPP(c_List_Oset(_u18384), c_List_Oconcat(_u18384, _u18385)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(_u18384), tc_fun(_u18384, tc_HOL_Obool)), hAPP(c_List_Oset(tc_List_Olist(_u18384)), _u18385)), c_List_Oset(_u18384))) )).
% 43.40/43.65 cnf(matrix-7518, plain, ( ~class_Orderings_Olinorder(_u18386) | ( c_List_Olinorder__class_Osort__key(_u18387, _u18386, _u18388, hAPP(hAPP(c_List_Olist_OCons(_u18387), _u18389), _u18390)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18387, _u18386, _u18388), _u18389), c_List_Olinorder__class_Osort__key(_u18387, _u18386, _u18388, _u18390))) )).
% 43.40/43.65 cnf(matrix-7519, plain, ( ( c_List_Oconcat(_u18391, hAPP(hAPP(c_List_Oappend(tc_List_Olist(_u18391)), _u18392), _u18393)) = hAPP(hAPP(c_List_Oappend(_u18391), c_List_Oconcat(_u18391, _u18392)), c_List_Oconcat(_u18391, _u18393))) )).
% 43.40/43.65 cnf(matrix-7520, plain, ( ~class_Orderings_Olinorder(_u18394) | ( c_List_Olinorder__class_Osort__key(_u18394, _u18394, c_COMBI(_u18394), _u18395) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18394), _u18394, hAPP(c_COMBC(_u18394, tc_List_Olist(_u18394), tc_List_Olist(_u18394)), c_List_Olinorder__class_Oinsort__key(_u18394, _u18394, c_COMBI(_u18394))), c_List_Olist_ONil(_u18394)), _u18395)) )).
% 43.40/43.65 cnf(matrix-7521, plain, ( ( c_List_Oconcat(_u18397, _u18398) != c_List_Oconcat(_u18397, _u18399)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18397))), _u18398) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18397))), _u18399)) | ( _u18398 = _u18399) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18397), tc_List_Olist(_u18397))), skolem467(_u18399, _u18398, _u18397)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18397), tc_List_Olist(_u18397))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18397), tc_List_Olist(_u18397)), _u18398), _u18399)))) )).
% 43.40/43.65 cnf(matrix-7522, plain, ( ( c_List_Oconcat(_u18397, _u18398) != c_List_Oconcat(_u18397, _u18399)) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18397))), _u18398) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18397))), _u18399)) | ( _u18398 = _u18399) | ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18397), tc_List_Olist(_u18397), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18397), tc_fun(tc_List_Olist(_u18397), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18397), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18397), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18397), tc_HOL_Obool)), tc_List_Olist(_u18397)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18397))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18397)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18397))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18397)))), skolem467(_u18399, _u18398, _u18397))) )).
% 43.40/43.65 cnf(matrix-7523, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18401), tc_List_Olist(_u18401))), skolem468(_u18403, _u18402, _u18401)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18401), tc_List_Olist(_u18401))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18401), tc_List_Olist(_u18401)), _u18402), _u18403)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18402) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18403)) | ( c_List_Oconcat(_u18401, _u18402) != c_List_Oconcat(_u18401, _u18403)) | ( _u18402 = _u18403) )).
% 43.40/43.65 cnf(matrix-7524, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u18401), tc_List_Olist(_u18401))), skolem468(_u18403, _u18402, _u18401)), hAPP(c_List_Oset(tc_prod(tc_List_Olist(_u18401), tc_List_Olist(_u18401))), hAPP(hAPP(c_List_Ozip(tc_List_Olist(_u18401), tc_List_Olist(_u18401)), _u18402), _u18403)))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18402) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18403)) | ( _u18402 != _u18403) | ( c_List_Oconcat(_u18401, _u18402) = c_List_Oconcat(_u18401, _u18403)) )).
% 43.40/43.65 cnf(matrix-7525, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18401), tc_List_Olist(_u18401), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18401), tc_fun(tc_List_Olist(_u18401), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18401), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18401), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18401), tc_HOL_Obool)), tc_List_Olist(_u18401)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18401))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18401)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18401))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18401)))), skolem468(_u18403, _u18402, _u18401))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18402) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18403)) | ( c_List_Oconcat(_u18401, _u18402) != c_List_Oconcat(_u18401, _u18403)) | ( _u18402 = _u18403) )).
% 43.40/43.65 cnf(matrix-7526, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(_u18401), tc_List_Olist(_u18401), tc_HOL_Obool), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18401), tc_fun(tc_List_Olist(_u18401), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18401), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_fun(tc_fun(tc_List_Olist(_u18401), tc_Nat_Onat), tc_fun(tc_List_Olist(_u18401), tc_HOL_Obool)), tc_List_Olist(_u18401)), c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18401))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_HOL_Obool), tc_List_Olist(_u18401)), c_fequal), c_Nat_Osize__class_Osize(tc_List_Olist(_u18401))))), c_Nat_Osize__class_Osize(tc_List_Olist(_u18401)))), skolem468(_u18403, _u18402, _u18401))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18402) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18401))), _u18403)) | ( _u18402 != _u18403) | ( c_List_Oconcat(_u18401, _u18402) = c_List_Oconcat(_u18401, _u18403)) )).
% 43.40/43.65 cnf(matrix-7527, plain, ( ( c_List_Oconcat(_u18404, hAPP(hAPP(c_List_Omap(_u18405, tc_List_Olist(_u18404)), hAPP(hAPP(c_COMBC(_u18405, tc_List_Olist(_u18404), tc_List_Olist(_u18404)), hAPP(hAPP(c_COMBB(_u18404, tc_fun(tc_List_Olist(_u18404), tc_List_Olist(_u18404)), _u18405), c_List_Olist_OCons(_u18404)), _u18406)), c_List_Olist_ONil(_u18404))), _u18407)) = hAPP(hAPP(c_List_Omap(_u18405, _u18404), _u18406), _u18407)) )).
% 43.40/43.65 cnf(matrix-7528, plain, ( ( c_Enum_On__lists(_u18408, hAPP(c_Nat_OSuc, _u18409), _u18410) = c_List_Oconcat(tc_List_Olist(_u18408), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18408), tc_List_Olist(tc_List_Olist(_u18408))), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18408), tc_List_Olist(_u18408), tc_List_Olist(tc_List_Olist(_u18408))), hAPP(hAPP(c_COMBB(tc_fun(_u18408, tc_List_Olist(_u18408)), tc_fun(tc_List_Olist(_u18408), tc_List_Olist(tc_List_Olist(_u18408))), tc_List_Olist(_u18408)), c_List_Omap(_u18408, tc_List_Olist(_u18408))), hAPP(c_COMBC(_u18408, tc_List_Olist(_u18408), tc_List_Olist(_u18408)), c_List_Olist_OCons(_u18408)))), _u18410)), c_Enum_On__lists(_u18408, _u18409, _u18410)))) )).
% 43.40/43.65 cnf(matrix-7529, plain, ( ( c_List_Otranspose(_u18411, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18411)), hAPP(hAPP(c_List_Olist_OCons(_u18411), _u18412), _u18413)), _u18414)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18411)), hAPP(hAPP(c_List_Olist_OCons(_u18411), _u18412), c_List_Oconcat(_u18411, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18411), tc_List_Olist(_u18411)), c_List_Olist_Olist__case(tc_List_Olist(_u18411), _u18411, c_List_Olist_ONil(_u18411), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18411), tc_fun(tc_List_Olist(_u18411), tc_List_Olist(_u18411)), _u18411), c_COMBK(tc_List_Olist(_u18411), tc_List_Olist(_u18411))), hAPP(hAPP(c_COMBC(_u18411, tc_List_Olist(_u18411), tc_List_Olist(_u18411)), c_List_Olist_OCons(_u18411)), c_List_Olist_ONil(_u18411))))), _u18414)))), c_List_Otranspose(_u18411, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18411)), _u18413), c_List_Oconcat(tc_List_Olist(_u18411), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18411), tc_List_Olist(tc_List_Olist(_u18411))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18411)), _u18411, c_List_Olist_ONil(tc_List_Olist(_u18411)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18411), tc_List_Olist(tc_List_Olist(_u18411))), _u18411), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18411), tc_List_Olist(tc_List_Olist(_u18411)), tc_List_Olist(tc_List_Olist(_u18411))), c_List_Olist_OCons(tc_List_Olist(_u18411))), c_List_Olist_ONil(tc_List_Olist(_u18411)))))), _u18414)))))) )).
% 43.40/43.65 cnf(matrix-7530, plain, ( ( c_List_Oconcat(_u18415, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18415), tc_List_Olist(_u18415)), c_List_Olist_Olist__case(tc_List_Olist(_u18415), _u18415, c_List_Olist_ONil(_u18415), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18415), tc_fun(tc_List_Olist(_u18415), tc_List_Olist(_u18415)), _u18415), c_COMBK(tc_List_Olist(_u18415), tc_List_Olist(_u18415))), hAPP(hAPP(c_COMBC(_u18415, tc_List_Olist(_u18415), tc_List_Olist(_u18415)), c_List_Olist_OCons(_u18415)), c_List_Olist_ONil(_u18415))))), _u18416)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18415), _u18415), c_List_Ohd(_u18415)), hAPP(c_List_Ofilter(tc_List_Olist(_u18415), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18415)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18415), tc_List_Olist(_u18415), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18415)))), _u18416))) )).
% 43.40/43.65 cnf(matrix-7531, plain, ( ( hAPP(c_List_Ofilter(_u18417, _u18418), c_List_Oconcat(_u18417, _u18419)) = c_List_Oconcat(_u18417, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18417), tc_List_Olist(_u18417)), c_List_Ofilter(_u18417, _u18418)), _u18419))) )).
% 43.40/43.65 cnf(matrix-7532, plain, ( ~class_Orderings_Olinorder(_u18420) | ( hAPP(c_List_Ofilter(_u18421, _u18422), c_List_Olinorder__class_Osort__key(_u18421, _u18420, _u18423, _u18424)) = c_List_Olinorder__class_Osort__key(_u18421, _u18420, _u18423, hAPP(c_List_Ofilter(_u18421, _u18422), _u18424))) )).
% 43.40/43.65 cnf(matrix-7533, plain, ( ( hAPP(c_List_Ofilter(_u18425, _u18426), hAPP(hAPP(c_List_Omap(_u18427, _u18425), _u18428), _u18429)) = hAPP(hAPP(c_List_Omap(_u18427, _u18425), _u18428), hAPP(c_List_Ofilter(_u18427, hAPP(c_Fun_Ocomp(_u18425, tc_HOL_Obool, _u18427, _u18426), _u18428)), _u18429))) )).
% 43.40/43.65 cnf(matrix-7534, plain, ( ~class_Orderings_Olinorder(_u18430) | hBOOL(hAPP(_u18431, _u18432)) | ( hAPP(c_List_Ofilter(_u18433, _u18431), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18433, _u18430, _u18434), _u18432), _u18435)) = hAPP(c_List_Ofilter(_u18433, _u18431), _u18435)) )).
% 43.40/43.65 cnf(matrix-7535, plain, ( ( hAPP(c_List_Ofilter(_u18436, _u18437), c_List_Olist_ONil(_u18436)) = c_List_Olist_ONil(_u18436)) )).
% 43.40/43.65 cnf(matrix-7536, plain, ( ( c_List_Otranspose(_u18438, c_List_Olist_ONil(tc_List_Olist(_u18438))) = c_List_Olist_ONil(tc_List_Olist(_u18438))) )).
% 43.40/43.65 cnf(matrix-7537, plain, ( ( hAPP(c_List_Ofilter(_u18444, _u18446), _u18448) != c_List_Olist_ONil(_u18444)) | ~hBOOL(hAPP(hAPP(c_member(_u18444), _u18439), hAPP(c_List_Oset(_u18444), _u18448))) | ~hBOOL(hAPP(_u18446, _u18439)) )).
% 43.40/43.65 cnf(matrix-7538, plain, ( ( hAPP(c_List_Ofilter(_u18445, _u18447), _u18449) = c_List_Olist_ONil(_u18445)) | hBOOL(hAPP(hAPP(c_member(_u18445), skolem469(_u18449, _u18447, _u18445)), hAPP(c_List_Oset(_u18445), _u18449))) )).
% 43.40/43.65 cnf(matrix-7539, plain, ( ( hAPP(c_List_Ofilter(_u18445, _u18447), _u18449) = c_List_Olist_ONil(_u18445)) | hBOOL(hAPP(_u18447, skolem469(_u18449, _u18447, _u18445))) )).
% 43.40/43.65 cnf(matrix-7540, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18450)), hAPP(c_List_Ofilter(_u18450, _u18451), _u18452))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18450)), _u18452))) )).
% 43.40/43.65 cnf(matrix-7541, plain, ( ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18453)), hAPP(c_List_Ofilter(_u18453, _u18454), _u18455))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18453)), hAPP(c_List_Ofilter(_u18453, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18453), c_fNot), _u18454)), _u18455))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18453)), _u18455)) )).
% 43.40/43.65 cnf(matrix-7542, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u18456, tc_HOL_Obool)), hAPP(c_List_Oset(_u18456), hAPP(c_List_Ofilter(_u18456, _u18457), _u18458))), hAPP(c_List_Oset(_u18456), _u18458))) )).
% 43.40/43.65 cnf(matrix-7543, plain, ( ( hAPP(c_List_Ofilter(_u18464, _u18466), _u18468) != _u18468) | ~hBOOL(hAPP(hAPP(c_member(_u18464), _u18459), hAPP(c_List_Oset(_u18464), _u18468))) | hBOOL(hAPP(_u18466, _u18459)) )).
% 43.40/43.65 cnf(matrix-7544, plain, ( ( hAPP(c_List_Ofilter(_u18465, _u18467), _u18469) = _u18469) | hBOOL(hAPP(hAPP(c_member(_u18465), skolem470(_u18469, _u18467, _u18465)), hAPP(c_List_Oset(_u18465), _u18469))) )).
% 43.40/43.65 cnf(matrix-7545, plain, ( ( hAPP(c_List_Ofilter(_u18465, _u18467), _u18469) = _u18469) | ~hBOOL(hAPP(_u18467, skolem470(_u18469, _u18467, _u18465))) )).
% 43.40/43.65 cnf(matrix-7546, plain, ( ( hAPP(c_List_Ofilter(_u18470, _u18471), hAPP(c_List_Ofilter(_u18470, _u18472), _u18473)) = hAPP(c_List_Ofilter(_u18470, hAPP(hAPP(c_COMBS(_u18470, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18470), c_fconj), _u18472)), _u18471)), _u18473)) )).
% 43.40/43.65 cnf(matrix-7547, plain, ( hBOOL(hAPP(_u18474, _u18475)) | ( c_List_Oremove1(_u18476, _u18475, hAPP(c_List_Ofilter(_u18476, _u18474), _u18477)) = hAPP(c_List_Ofilter(_u18476, _u18474), _u18477)) )).
% 43.40/43.65 cnf(matrix-7548, plain, ( ( hAPP(c_List_Ofilter(_u18478, _u18479), c_List_Oremove1(_u18478, _u18480, _u18481)) = c_List_Oremove1(_u18478, _u18480, hAPP(c_List_Ofilter(_u18478, _u18479), _u18481))) )).
% 43.40/43.65 cnf(matrix-7549, plain, ( ~hBOOL(hAPP(_u18486, _u18488)) | ( hAPP(c_List_Ofilter(_u18490, _u18486), hAPP(hAPP(c_List_Olist_OCons(_u18490), _u18488), _u18492)) = hAPP(hAPP(c_List_Olist_OCons(_u18490), _u18488), hAPP(c_List_Ofilter(_u18490, _u18486), _u18492))) )).
% 43.40/43.65 cnf(matrix-7550, plain, ( hBOOL(hAPP(_u18487, _u18489)) | ( hAPP(c_List_Ofilter(_u18491, _u18487), hAPP(hAPP(c_List_Olist_OCons(_u18491), _u18489), _u18493)) = hAPP(c_List_Ofilter(_u18491, _u18487), _u18493)) )).
% 43.40/43.65 cnf(matrix-7551, plain, ( ( hAPP(c_List_Ofilter(_u18494, _u18495), hAPP(hAPP(c_List_Oappend(_u18494), _u18496), _u18497)) = hAPP(hAPP(c_List_Oappend(_u18494), hAPP(c_List_Ofilter(_u18494, _u18495), _u18496)), hAPP(c_List_Ofilter(_u18494, _u18495), _u18497))) )).
% 43.40/43.65 cnf(matrix-7552, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18498), _u18499)) | hBOOL(hAPP(c_List_Odistinct(_u18498), hAPP(c_List_Ofilter(_u18498, _u18500), _u18499))) )).
% 43.40/43.65 cnf(matrix-7553, plain, ( ( hAPP(c_Product__Type_Ofst(tc_List_Olist(_u18501), tc_List_Olist(_u18501)), c_List_Opartition(_u18501, _u18502, _u18503)) = hAPP(c_List_Ofilter(_u18501, _u18502), _u18503)) )).
% 43.40/43.65 cnf(matrix-7554, plain, ( ( hAPP(c_Product__Type_Osnd(tc_List_Olist(_u18504), tc_List_Olist(_u18504)), c_List_Opartition(_u18504, _u18505, _u18506)) = hAPP(c_List_Ofilter(_u18504, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18504, c_fNot), _u18505)), _u18506)) )).
% 43.40/43.65 cnf(matrix-7555, plain, ( ( c_List_Oremdups(_u18507, hAPP(c_List_Ofilter(_u18507, _u18508), _u18509)) = hAPP(c_List_Ofilter(_u18507, _u18508), c_List_Oremdups(_u18507, _u18509))) )).
% 43.40/43.65 cnf(matrix-7556, plain, ( ( c_List_Otranspose(_u18510, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18510)), c_List_Olist_ONil(_u18510)), _u18511)) = c_List_Otranspose(_u18510, _u18511)) )).
% 43.40/43.65 cnf(matrix-7557, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18512), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18513))), c_List_Otranspose(_u18513, _u18514)))) | ( hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18513)), c_List_Otranspose(_u18513, _u18514)), _u18512) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18513), _u18513), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18513), tc_Nat_Onat, _u18513), c_List_Onth(_u18513)), _u18512)), hAPP(c_List_Ofilter(tc_List_Olist(_u18513), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18513)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18512)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18513)))), _u18514))) )).
% 43.40/43.65 cnf(matrix-7558, plain, ( ( c_List_Otranspose(_u18515, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18516), tc_List_Olist(_u18515)), hAPP(c_List_Omap(_u18516, _u18515), _u18517)), _u18518)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18516), tc_List_Olist(_u18515)), hAPP(c_List_Omap(_u18516, _u18515), _u18517)), c_List_Otranspose(_u18516, _u18518))) )).
% 43.40/43.65 cnf(matrix-7559, plain, ( ( hAPP(c_List_Oset(_u18519), hAPP(c_List_Ofilter(_u18519, _u18520), _u18521)) = hAPP(c_Set_OCollect(_u18519), hAPP(hAPP(c_COMBS(_u18519, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u18519), c_fconj), hAPP(hAPP(c_COMBC(_u18519, tc_fun(_u18519, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18519)), hAPP(c_List_Oset(_u18519), _u18521)))), _u18520))) )).
% 43.40/43.65 cnf(matrix-7560, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18522)), hAPP(c_List_Ofilter(_u18522, _u18523), hAPP(hAPP(c_List_Omap(_u18524, _u18522), _u18525), _u18526))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18524)), hAPP(c_List_Ofilter(_u18524, hAPP(c_Fun_Ocomp(_u18522, tc_HOL_Obool, _u18524, _u18523), _u18525)), _u18526))) )).
% 43.40/43.65 cnf(matrix-7561, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u18527), _u18528), hAPP(c_List_Oset(_u18527), _u18529))) | hBOOL(hAPP(_u18530, _u18528)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18527)), hAPP(c_List_Ofilter(_u18527, _u18530), _u18529))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18527)), _u18529))) )).
% 43.40/43.65 cnf(matrix-7562, plain, ( ( c_List_Opartition(_u18531, _u18532, _u18533) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u18531), tc_List_Olist(_u18531)), hAPP(c_List_Ofilter(_u18531, _u18532), _u18533)), hAPP(c_List_Ofilter(_u18531, hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, _u18531, c_fNot), _u18532)), _u18533))) )).
% 43.40/43.65 cnf(matrix-7563, plain, ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u18534, tc_HOL_Obool)), hAPP(c_List_Oset(_u18534), _u18535)), hAPP(hAPP(c_Set_Oinsert(_u18534), _u18536), c_Orderings_Obot__class_Obot(tc_fun(_u18534, tc_HOL_Obool)))) = hAPP(c_List_Oset(_u18534), hAPP(c_List_Ofilter(_u18534, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u18534), c_fNot), hAPP(hAPP(c_COMBC(_u18534, _u18534, tc_HOL_Obool), c_fequal), _u18536))), _u18535))) )).
% 43.40/43.65 cnf(matrix-7564, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18537), _u18538)) | ( hAPP(c_List_Ofilter(_u18537, hAPP(hAPP(c_COMBC(_u18537, tc_fun(_u18537, tc_HOL_Obool), tc_HOL_Obool), c_member(_u18537)), hAPP(c_List_Oset(_u18537), c_List_Osublist(_u18537, _u18538, _u18539)))), _u18538) = c_List_Osublist(_u18537, _u18538, _u18539)) )).
% 43.40/43.65 cnf(matrix-7565, plain, ( ( c_List_Otranspose(_u18544, _u18546) != c_List_Olist_ONil(tc_List_Olist(_u18544))) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18544)), _u18540), hAPP(c_List_Oset(tc_List_Olist(_u18544)), _u18546))) | ( _u18540 = c_List_Olist_ONil(_u18544)) )).
% 43.40/43.65 cnf(matrix-7566, plain, ( ( c_List_Otranspose(_u18545, _u18547) = c_List_Olist_ONil(tc_List_Olist(_u18545))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u18545)), skolem471(_u18547, _u18545)), hAPP(c_List_Oset(tc_List_Olist(_u18545)), _u18547))) )).
% 43.40/43.65 cnf(matrix-7567, plain, ( ( c_List_Otranspose(_u18545, _u18547) = c_List_Olist_ONil(tc_List_Olist(_u18545))) | ( skolem471(_u18547, _u18545) != c_List_Olist_ONil(_u18545)) )).
% 43.40/43.65 cnf(matrix-7568, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18548)), hAPP(c_List_Ofilter(_u18548, _u18549), _u18550)) = 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(_u18548)), _u18550)))), hAPP(hAPP(c_COMBB(_u18548, tc_HOL_Obool, tc_Nat_Onat), _u18549), hAPP(c_List_Onth(_u18548), _u18550)))))) )).
% 43.40/43.65 cnf(matrix-7569, plain, ( ( c_List_Oconcat(tc_List_Olist(_u18551), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18551), tc_List_Olist(tc_List_Olist(_u18551))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18551)), _u18551, c_List_Olist_ONil(tc_List_Olist(_u18551)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18551), tc_List_Olist(tc_List_Olist(_u18551))), _u18551), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18551), tc_List_Olist(tc_List_Olist(_u18551)), tc_List_Olist(tc_List_Olist(_u18551))), c_List_Olist_OCons(tc_List_Olist(_u18551))), c_List_Olist_ONil(tc_List_Olist(_u18551)))))), _u18552)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18551), tc_List_Olist(_u18551)), c_List_Otl(_u18551)), hAPP(c_List_Ofilter(tc_List_Olist(_u18551), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18551)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18551), tc_List_Olist(_u18551), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18551)))), _u18552))) )).
% 43.40/43.65 cnf(matrix-7570, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18553)), c_List_Otranspose__rel(_u18553)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18553)), hAPP(hAPP(c_List_Olist_OCons(_u18553), _u18554), _u18555)), _u18556))) | ( c_List_Otranspose(_u18553, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18553)), hAPP(hAPP(c_List_Olist_OCons(_u18553), _u18554), _u18555)), _u18556)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18553)), hAPP(hAPP(c_List_Olist_OCons(_u18553), _u18554), c_List_Oconcat(_u18553, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18553), tc_List_Olist(_u18553)), c_List_Olist_Olist__case(tc_List_Olist(_u18553), _u18553, c_List_Olist_ONil(_u18553), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18553), tc_fun(tc_List_Olist(_u18553), tc_List_Olist(_u18553)), _u18553), c_COMBK(tc_List_Olist(_u18553), tc_List_Olist(_u18553))), hAPP(hAPP(c_COMBC(_u18553, tc_List_Olist(_u18553), tc_List_Olist(_u18553)), c_List_Olist_OCons(_u18553)), c_List_Olist_ONil(_u18553))))), _u18556)))), c_List_Otranspose(_u18553, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18553)), _u18555), c_List_Oconcat(tc_List_Olist(_u18553), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18553), tc_List_Olist(tc_List_Olist(_u18553))), c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(_u18553)), _u18553, c_List_Olist_ONil(tc_List_Olist(_u18553)), hAPP(c_COMBK(tc_fun(tc_List_Olist(_u18553), tc_List_Olist(tc_List_Olist(_u18553))), _u18553), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18553), tc_List_Olist(tc_List_Olist(_u18553)), tc_List_Olist(tc_List_Olist(_u18553))), c_List_Olist_OCons(tc_List_Olist(_u18553))), c_List_Olist_ONil(tc_List_Olist(_u18553)))))), _u18556)))))) )).
% 43.40/43.65 cnf(matrix-7571, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18557)), c_List_Otranspose__rel(_u18557)), hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18557)), c_List_Olist_ONil(_u18557)), _u18558))) | ( c_List_Otranspose(_u18557, hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(_u18557)), c_List_Olist_ONil(_u18557)), _u18558)) = c_List_Otranspose(_u18557, _u18558)) )).
% 43.40/43.65 cnf(matrix-7572, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18559, tc_Nat_Onat), _u18559), c_Product__Type_Ofst(_u18559, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18559, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18559, tc_Nat_Onat)), _u18560), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_prod(_u18559, tc_Nat_Onat)), c_Nat_OSuc), c_Product__Type_Osnd(_u18559, tc_Nat_Onat)))), hAPP(hAPP(c_List_Ozip(_u18559, tc_Nat_Onat), _u18561), _u18562))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18559, tc_Nat_Onat), _u18559), c_Product__Type_Ofst(_u18559, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18559, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_prod(_u18559, tc_Nat_Onat)), _u18560), c_Product__Type_Osnd(_u18559, tc_Nat_Onat))), hAPP(hAPP(c_List_Ozip(_u18559, tc_Nat_Onat), _u18561), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), _u18562))))) )).
% 43.40/43.65 cnf(matrix-7573, plain, ( ( c_Random_Oselect__weight(_u18563, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18563), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18563, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18563, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18563)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18564)) = c_Random_Oselect__weight(_u18563, _u18564)) )).
% 43.40/43.65 cnf(matrix-7574, plain, ( ( c_Random_Opick(_u18565, hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral, _u18565), hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral, _u18565, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(_u18565, tc_HOL_Obool), tc_Code__Numeral_Ocode__numeral), c_COMBK(tc_HOL_Obool, _u18565)), hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))), _u18566)) = c_Random_Opick(_u18565, _u18566)) )).
% 43.40/43.65 cnf(matrix-7575, plain, ( ~hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(_u18567)), c_List_Otranspose__rel(_u18567)), c_List_Olist_ONil(tc_List_Olist(_u18567)))) | ( c_List_Otranspose(_u18567, c_List_Olist_ONil(tc_List_Olist(_u18567))) = c_List_Olist_ONil(tc_List_Olist(_u18567))) )).
% 43.40/43.65 cnf(matrix-7576, plain, ( ( c_List_Ofoldr(tc_List_Olist(_u18568), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18568)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18568))), c_List_Otranspose(_u18568, _u18569), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18568))), hAPP(c_List_Ofilter(tc_List_Olist(_u18568), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18568)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18568), tc_List_Olist(_u18568), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18568)))), _u18569))) )).
% 43.40/43.65 cnf(matrix-7577, plain, ( ( hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat), hAPP(c_Nat_OSuc, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18570)), _u18571))), c_List_Ofoldr(tc_List_Olist(_u18572), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18572)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18572))), _u18573, 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(_u18570)), _u18571)), c_List_Ofoldr(tc_List_Olist(_u18572), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18572)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18572), tc_Nat_Onat, tc_Nat_Onat), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18572)), c_Groups_Ominus__class_Ominus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18572)))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), hAPP(c_List_Ofilter(tc_List_Olist(_u18572), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u18572)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18572), tc_List_Olist(_u18572), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u18572)))), _u18573), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))) )).
% 43.40/43.65 cnf(matrix-7578, plain, ( ( c_List_Ofoldr(_u18574, _u18575, _u18576, c_List_Olist_ONil(_u18574), _u18577) = _u18577) )).
% 43.40/43.65 cnf(matrix-7579, plain, ( ( c_List_Ofoldr(_u18578, _u18579, _u18580, hAPP(hAPP(c_List_Olist_OCons(_u18578), _u18581), _u18582), _u18583) = hAPP(hAPP(_u18580, _u18581), c_List_Ofoldr(_u18578, _u18579, _u18580, _u18582, _u18583))) )).
% 43.40/43.65 cnf(matrix-7580, plain, ( ( c_List_Ofoldr(_u18584, _u18585, _u18586, hAPP(hAPP(c_List_Oappend(_u18584), _u18587), _u18588), _u18589) = c_List_Ofoldr(_u18584, _u18585, _u18586, _u18587, c_List_Ofoldr(_u18584, _u18585, _u18586, _u18588, _u18589))) )).
% 43.40/43.65 cnf(matrix-7581, plain, ( ~class_Groups_Oab__semigroup__add(_u18590) | ( c_List_Ofoldr(_u18590, _u18590, c_Groups_Oplus__class_Oplus(_u18590), _u18591, _u18592) = hAPP(c_List_Ofoldl(_u18590, _u18590, c_Groups_Oplus__class_Oplus(_u18590), _u18592), _u18591)) )).
% 43.40/43.65 cnf(matrix-7582, plain, ( ( c_List_Ofoldr(_u18593, _u18594, _u18595, hAPP(hAPP(c_List_Omap(_u18596, _u18593), _u18597), _u18598), _u18599) = c_List_Ofoldr(_u18596, _u18594, hAPP(c_Fun_Ocomp(_u18593, tc_fun(_u18594, _u18594), _u18596, _u18595), _u18597), _u18598, _u18599)) )).
% 43.40/43.65 cnf(matrix-7583, plain, ( ~class_Groups_Omonoid__add(_u18600) | ( hAPP(c_List_Ofoldl(_u18600, _u18600, c_Groups_Oplus__class_Oplus(_u18600), c_Groups_Ozero__class_Ozero(_u18600)), _u18601) = c_List_Ofoldr(_u18600, _u18600, c_Groups_Oplus__class_Oplus(_u18600), _u18601, c_Groups_Ozero__class_Ozero(_u18600))) )).
% 43.40/43.65 cnf(matrix-7584, plain, ( ~class_Groups_Omonoid__add(_u18602) | ( hAPP(c_List_Ofoldl(_u18602, _u18602, c_Groups_Oplus__class_Oplus(_u18602), _u18603), _u18604) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u18602), _u18603), c_List_Ofoldr(_u18602, _u18602, c_Groups_Oplus__class_Oplus(_u18602), _u18604, c_Groups_Ozero__class_Ozero(_u18602)))) )).
% 43.40/43.65 cnf(matrix-7585, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18605))), c_List_Otranspose(_u18605, _u18606)) = c_List_Ofoldr(tc_List_Olist(_u18605), tc_Nat_Onat, hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_List_Olist(_u18605)), c_Orderings_Oord__class_Omax(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18605))), _u18606, c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )).
% 43.40/43.65 cnf(matrix-7586, plain, ( ( c_List_Osublist(_u18607, _u18608, _u18609) = hAPP(hAPP(c_List_Omap(tc_prod(_u18607, tc_Nat_Onat), _u18607), c_Product__Type_Ofst(_u18607, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18607, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18607, 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(_u18607, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18607, tc_Nat_Onat))), _u18609)), hAPP(hAPP(c_List_Ozip(_u18607, tc_Nat_Onat), _u18608), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18607)), _u18608)))))) )).
% 43.40/43.65 cnf(matrix-7587, plain, ( ( hAPP(hAPP(c_List_Omap(tc_prod(_u18610, tc_Nat_Onat), _u18610), c_Product__Type_Ofst(_u18610, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18610, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18610, 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(_u18610, tc_Nat_Onat)), c_member(tc_Nat_Onat)), c_Product__Type_Osnd(_u18610, tc_Nat_Onat))), _u18611)), hAPP(hAPP(c_List_Ozip(_u18610, tc_Nat_Onat), _u18612), c_List_Oupt(_u18613, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18613), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18610)), _u18612)))))) = hAPP(hAPP(c_List_Omap(tc_prod(_u18610, tc_Nat_Onat), _u18610), c_Product__Type_Ofst(_u18610, tc_Nat_Onat)), hAPP(c_List_Ofilter(tc_prod(_u18610, tc_Nat_Onat), hAPP(hAPP(c_COMBC(tc_prod(_u18610, 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(_u18610, tc_Nat_Onat)), c_member(tc_Nat_Onat)), hAPP(hAPP(c_COMBC(tc_prod(_u18610, 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(_u18610, tc_Nat_Onat)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Product__Type_Osnd(_u18610, tc_Nat_Onat))), _u18613))), _u18611)), hAPP(hAPP(c_List_Ozip(_u18610, tc_Nat_Onat), _u18612), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18610)), _u18612)))))) )).
% 43.40/43.65 cnf(matrix-7588, plain, ( ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18614), _u18615) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18614, _u18615))) )).
% 43.40/43.65 cnf(matrix-7589, plain, ( ( hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18616, _u18617)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18616), _u18617)) )).
% 43.40/43.65 cnf(matrix-7590, plain, ( hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat), c_List_Oupt(_u18618, _u18619))) )).
% 43.40/43.65 cnf(matrix-7591, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18620), _u18621)) | ( c_List_Oupt(_u18620, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18621), _u18622)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18620, _u18621)), c_List_Oupt(_u18621, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18621), _u18622)))) )).
% 43.40/43.65 cnf(matrix-7592, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18625), _u18627)) | ( c_List_Oupt(_u18625, hAPP(c_Nat_OSuc, _u18627)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18625, _u18627)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18627), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-7593, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18626), _u18628)) | ( c_List_Oupt(_u18626, hAPP(c_Nat_OSuc, _u18628)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7594, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18629), _u18630)) | ( c_List_Oupt(_u18629, hAPP(c_Nat_OSuc, _u18630)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), c_List_Oupt(_u18629, _u18630)), hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18630), c_List_Olist_ONil(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-7595, plain, ( ( hAPP(hAPP(c_List_Odrop(tc_Nat_Onat), _u18631), c_List_Oupt(_u18632, _u18633)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18632), _u18631), _u18633)) )).
% 43.40/43.65 cnf(matrix-7596, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18634), _u18635)) | ( hAPP(c_List_Ohd(tc_Nat_Onat), c_List_Oupt(_u18634, _u18635)) = _u18634) )).
% 43.40/43.65 cnf(matrix-7597, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18638), _u18640)) | ( c_List_Oupt(_u18638, _u18640) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18638), c_List_Oupt(hAPP(c_Nat_OSuc, _u18638), _u18640))) )).
% 43.40/43.65 cnf(matrix-7598, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18639), _u18641)) | ( c_List_Oupt(_u18639, _u18641) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7599, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18642), _u18643)) | ( c_List_Oupt(_u18642, _u18643) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18642), c_List_Oupt(hAPP(c_Nat_OSuc, _u18642), _u18643))) )).
% 43.40/43.65 cnf(matrix-7600, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18644), _u18645)), _u18646)) | ( hAPP(hAPP(c_List_Otake(tc_Nat_Onat), _u18645), c_List_Oupt(_u18644, _u18646)) = c_List_Oupt(_u18644, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18644), _u18645))) )).
% 43.40/43.65 cnf(matrix-7601, plain, ( ( c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat, hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat, _u18647), _u18648)) = c_List_Oupt(_u18647, _u18648)) )).
% 43.40/43.65 cnf(matrix-7602, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18649), _u18650)) | ( c_List_Oupt(_u18650, _u18649) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7603, plain, ( ( c_List_Oupt(_u18653, _u18655) != c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18655 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18655), _u18653)) )).
% 43.40/43.65 cnf(matrix-7604, plain, ( ( c_List_Oupt(_u18654, _u18656) = c_List_Olist_ONil(tc_Nat_Onat)) | ( _u18656 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7605, plain, ( ( c_List_Oupt(_u18654, _u18656) = c_List_Olist_ONil(tc_Nat_Onat)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18656), _u18654)) )).
% 43.40/43.65 cnf(matrix-7606, plain, ( ( c_List_Oupt(_u18657, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7607, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)), c_List_Oupt(_u18658, _u18659)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18659), _u18658)) )).
% 43.40/43.65 cnf(matrix-7608, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18662)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18664))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18662), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18664)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18662)), c_List_Oupt(hAPP(c_Nat_OSuc, hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18662)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18664)))) )).
% 43.40/43.65 cnf(matrix-7609, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18663)), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18665))) | ( c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18663), hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat), _u18665)) = c_List_Olist_ONil(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7610, plain, ( ( c_List_Oupt(_u18670, _u18672) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18674), _u18676)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18670), _u18672)) )).
% 43.40/43.65 cnf(matrix-7611, plain, ( ( c_List_Oupt(_u18670, _u18672) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18674), _u18676)) | ( _u18670 = _u18674) )).
% 43.40/43.65 cnf(matrix-7612, plain, ( ( c_List_Oupt(_u18670, _u18672) != hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18674), _u18676)) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18670), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18672) = _u18676) )).
% 43.40/43.65 cnf(matrix-7613, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18671), _u18673)) | ( _u18671 != _u18675) | ( c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18671), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u18673) != _u18677) | ( c_List_Oupt(_u18671, _u18673) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat), _u18675), _u18677)) )).
% 43.40/43.65 cnf(matrix-7614, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18678), _u18679)) | ( c_List_Olast(tc_Nat_Onat, c_List_Oupt(_u18678, _u18679)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18679), c_Groups_Oone__class_Oone(tc_Nat_Onat))) )).
% 43.40/43.65 cnf(matrix-7615, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Nat_Onat), c_Nat_OSuc), c_List_Oupt(_u18680, _u18681)) = c_List_Oupt(hAPP(c_Nat_OSuc, _u18680), hAPP(c_Nat_OSuc, _u18681))) )).
% 43.40/43.65 cnf(matrix-7616, plain, ( ( c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat, _u18682, _u18683) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18682, hAPP(c_Nat_OSuc, _u18683)))) )).
% 43.40/43.65 cnf(matrix-7617, plain, ( ( hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat), _u18684) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18684))) )).
% 43.40/43.65 cnf(matrix-7618, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18685), _u18686)), _u18687)) | ( hAPP(hAPP(c_List_Onth(tc_Nat_Onat), c_List_Oupt(_u18685, _u18687)), _u18686) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18685), _u18686)) )).
% 43.40/43.65 cnf(matrix-7619, plain, ( ( c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat, _u18688, _u18689) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18688), hAPP(c_Nat_OSuc, _u18689)))) )).
% 43.40/43.65 cnf(matrix-7620, plain, ( ( c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat, _u18690, _u18691) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(hAPP(c_Nat_OSuc, _u18690), _u18691))) )).
% 43.40/43.65 cnf(matrix-7621, plain, ( ( hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat), _u18692) = hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_OSuc, _u18692)))) )).
% 43.40/43.65 cnf(matrix-7622, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18693), hAPP(c_List_Onth(_u18693), _u18694)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18693)), _u18694))) = _u18694) )).
% 43.40/43.65 cnf(matrix-7623, plain, ( ~class_Groups_Ocomm__monoid__add(_u18695) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18695), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18695), _u18696), c_List_Oupt(_u18697, _u18698))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18695), _u18696), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18697, _u18698)))) )).
% 43.40/43.65 cnf(matrix-7624, plain, ( ~class_Groups_Ocomm__monoid__add(_u18699) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat, _u18699), _u18700), hAPP(c_List_Oset(tc_Nat_Onat), c_List_Oupt(_u18701, _u18702))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18699), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18699), _u18700), c_List_Oupt(_u18701, _u18702)))) )).
% 43.40/43.65 cnf(matrix-7625, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18703), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u18704), _u18705))) | ( hAPP(hAPP(c_List_Onth(_u18706), hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u18706), _u18707), c_List_Oupt(_u18705, _u18704))), _u18703) = hAPP(_u18707, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u18705), _u18703))) )).
% 43.40/43.65 cnf(matrix-7626, plain, ( ( _u18709 = c_List_Olist_ONil(tc_List_Olist(_u18710))) | ( c_List_Otranspose(_u18710, _u18709) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18710), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18710)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18710), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18710), tc_fun(tc_Nat_Onat, _u18710), tc_Nat_Onat), c_List_Onth(_u18710)), hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem472(_u18711, _u18710, _u18709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709))) )).
% 43.40/43.65 cnf(matrix-7627, plain, ( ( _u18709 = c_List_Olist_ONil(tc_List_Olist(_u18710))) | ( c_List_Otranspose(_u18710, _u18709) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18710), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18710)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18710), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18710), tc_fun(tc_Nat_Onat, _u18710), tc_Nat_Onat), c_List_Onth(_u18710)), hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18711))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18710)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709), skolem472(_u18711, _u18710, _u18709))) != _u18711) )).
% 43.40/43.65 cnf(matrix-7628, plain, ( ( _u18711 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18710, _u18709) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18710), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18710)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18710), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18710), tc_fun(tc_Nat_Onat, _u18710), tc_Nat_Onat), c_List_Onth(_u18710)), hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18711))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem472(_u18711, _u18710, _u18709)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709))) )).
% 43.40/43.65 cnf(matrix-7629, plain, ( ( _u18711 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Otranspose(_u18710, _u18709) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBC(tc_Nat_Onat, tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, _u18710), tc_fun(tc_List_Olist(tc_Nat_Onat), tc_List_Olist(_u18710)), tc_Nat_Onat), c_List_Omap(tc_Nat_Onat, _u18710)), hAPP(c_COMBC(tc_Nat_Onat, tc_Nat_Onat, _u18710), hAPP(hAPP(c_COMBB(tc_List_Olist(_u18710), tc_fun(tc_Nat_Onat, _u18710), tc_Nat_Onat), c_List_Onth(_u18710)), hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709))))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18710))), _u18709)))), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u18711))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18710)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18710)), _u18709), skolem472(_u18711, _u18710, _u18709))) != _u18711) )).
% 43.40/43.65 cnf(matrix-7630, plain, ( ~class_Orderings_Olinorder(_u18712) | ~hBOOL(hAPP(hAPP(c_member(_u18713), _u18714), hAPP(c_List_Oset(_u18713), _u18715))) | ~c_List_Olinorder__class_Osorted(_u18712, hAPP(hAPP(c_List_Omap(_u18713, _u18712), _u18716), _u18715)) | ( hAPP(c_List_Ohd(_u18713), hAPP(c_List_Ofilter(_u18713, hAPP(hAPP(c_COMBB(_u18712, tc_HOL_Obool, _u18713), hAPP(c_fequal, hAPP(_u18716, _u18714))), _u18716)), _u18715)) != _u18714) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18713, _u18712, _u18716), _u18714), c_List_Oremove1(_u18713, _u18714, _u18715)) = _u18715) )).
% 43.40/43.65 cnf(matrix-7631, plain, ( ~class_Orderings_Olinorder(_u18717) | c_List_Olinorder__class_Osorted(_u18717, c_List_Olist_ONil(_u18717)) )).
% 43.40/43.65 cnf(matrix-7632, plain, ( ~class_Orderings_Olinorder(_u18718) | c_List_Olinorder__class_Osorted(_u18718, hAPP(hAPP(c_List_Olist_OCons(_u18718), _u18719), c_List_Olist_ONil(_u18718))) )).
% 43.40/43.65 cnf(matrix-7633, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, c_List_Oupt(_u18720, _u18721)) )).
% 43.40/43.65 cnf(matrix-7634, plain, ( ~class_Orderings_Olinorder(_u18722) | c_List_Olinorder__class_Osorted(_u18722, c_List_Olinorder__class_Osort__key(_u18722, _u18722, c_COMBI(_u18722), _u18723)) )).
% 43.40/43.65 cnf(matrix-7635, plain, ( ~class_Orderings_Olinorder(_u18724) | ~c_List_Olinorder__class_Osorted(_u18724, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18724, _u18724, c_COMBI(_u18724)), _u18725), _u18726)) | c_List_Olinorder__class_Osorted(_u18724, _u18726) )).
% 43.40/43.65 cnf(matrix-7636, plain, ( ~class_Orderings_Olinorder(_u18724) | ~c_List_Olinorder__class_Osorted(_u18724, _u18726) | c_List_Olinorder__class_Osorted(_u18724, hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18724, _u18724, c_COMBI(_u18724)), _u18725), _u18726)) )).
% 43.40/43.65 cnf(matrix-7637, plain, ( ~class_Orderings_Olinorder(_u18727) | ~c_List_Olinorder__class_Osorted(_u18727, _u18728) | c_List_Olinorder__class_Osorted(_u18727, hAPP(c_List_Otl(_u18727), _u18728)) )).
% 43.40/43.65 cnf(matrix-7638, plain, ( ~class_Orderings_Olinorder(_u18729) | c_List_Olinorder__class_Osorted(_u18729, c_List_Olist_ONil(_u18729)) )).
% 43.40/43.65 cnf(matrix-7639, plain, ( ~class_Orderings_Olinorder(_u18730) | ( _u18731 = c_List_Olist_ONil(_u18730)) | ~c_List_Olinorder__class_Osorted(_u18730, _u18731) | c_List_Olinorder__class_Osorted(_u18730, c_List_Obutlast(_u18730, _u18731)) )).
% 43.40/43.65 cnf(matrix-7640, plain, ( ~class_Orderings_Olinorder(_u18732) | ~c_List_Olinorder__class_Osorted(_u18732, _u18733) | c_List_Olinorder__class_Osorted(_u18732, hAPP(hAPP(c_List_Otake(_u18732), _u18734), _u18733)) )).
% 43.40/43.65 cnf(matrix-7641, plain, ( c_List_Olinorder__class_Osorted(tc_Int_Oint, c_List_Oupto(_u18735, _u18736)) )).
% 43.40/43.65 cnf(matrix-7642, plain, ( ~class_Orderings_Olinorder(_u18737) | ~c_List_Olinorder__class_Osorted(_u18737, _u18738) | c_List_Olinorder__class_Osorted(_u18737, c_List_Oremove1(_u18737, _u18739, _u18738)) )).
% 43.40/43.65 cnf(matrix-7643, plain, ( ~class_Orderings_Olinorder(_u18740) | ~c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18741), hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18740), _u18741), _u18742)) )).
% 43.40/43.65 cnf(matrix-7644, plain, ( ~class_Orderings_Olinorder(_u18740) | ~c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18741), hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743))) | c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743)) )).
% 43.40/43.65 cnf(matrix-7645, plain, ( ~class_Orderings_Olinorder(_u18740) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18740), _u18741), _u18742)) | ~c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743)) | c_List_Olinorder__class_Osorted(_u18740, hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18741), hAPP(hAPP(c_List_Olist_OCons(_u18740), _u18742), _u18743))) )).
% 43.40/43.65 cnf(matrix-7646, plain, ( ~class_Orderings_Olinorder(_u18744) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18744), _u18745), _u18746)) | ~c_List_Olinorder__class_Osorted(_u18744, hAPP(hAPP(c_List_Olist_OCons(_u18744), _u18746), _u18747)) | c_List_Olinorder__class_Osorted(_u18744, hAPP(hAPP(c_List_Olist_OCons(_u18744), _u18745), hAPP(hAPP(c_List_Olist_OCons(_u18744), _u18746), _u18747))) )).
% 43.40/43.65 cnf(matrix-7647, plain, ( ~class_Orderings_Olinorder(_u18748) | ~c_List_Olinorder__class_Osorted(_u18748, _u18749) | c_List_Olinorder__class_Osorted(_u18748, hAPP(hAPP(c_List_Odrop(_u18748), _u18750), _u18749)) )).
% 43.40/43.65 cnf(matrix-7648, plain, ( ~class_Orderings_Olinorder(_u18751) | ~c_List_Olinorder__class_Osorted(_u18751, _u18752) | c_List_Olinorder__class_Osorted(_u18751, c_List_Olinorder__class_Oinsort__insert__key(_u18751, _u18751, c_COMBI(_u18751), _u18753, _u18752)) )).
% 43.40/43.65 cnf(matrix-7649, plain, ( ~class_Orderings_Olinorder(_u18754) | ~c_List_Olinorder__class_Osorted(_u18754, _u18755) | c_List_Olinorder__class_Osorted(_u18754, c_List_Oremdups(_u18754, _u18755)) )).
% 43.40/43.65 cnf(matrix-7650, plain, ( ~class_Orderings_Olinorder(_u18756) | ~c_List_Olinorder__class_Osorted(_u18756, _u18757) | ~hBOOL(hAPP(c_List_Odistinct(_u18756), _u18757)) | ~c_List_Olinorder__class_Osorted(_u18756, _u18758) | ~hBOOL(hAPP(c_List_Odistinct(_u18756), _u18758)) | ( hAPP(c_List_Oset(_u18756), _u18757) != hAPP(c_List_Oset(_u18756), _u18758)) | ( _u18757 = _u18758) )).
% 43.40/43.65 cnf(matrix-7651, plain, ( ~class_Orderings_Olinorder(_u18759) | c_List_Olinorder__class_Osorted(_u18759, hAPP(hAPP(c_List_Omap(_u18760, _u18759), _u18761), c_List_Olinorder__class_Osort__key(_u18760, _u18759, _u18761, _u18762))) )).
% 43.40/43.65 cnf(matrix-7652, plain, ( ~class_Orderings_Olinorder(_u18763) | ~c_List_Olinorder__class_Osorted(_u18763, hAPP(hAPP(c_List_Omap(_u18764, _u18763), _u18765), _u18766)) | c_List_Olinorder__class_Osorted(_u18763, hAPP(hAPP(c_List_Omap(_u18764, _u18763), _u18765), c_List_Olinorder__class_Oinsort__insert__key(_u18764, _u18763, _u18765, _u18767, _u18766))) )).
% 43.40/43.65 cnf(matrix-7653, plain, ( ~class_Orderings_Olinorder(_u18768) | ~c_List_Olinorder__class_Osorted(_u18768, hAPP(hAPP(c_List_Omap(_u18769, _u18768), _u18770), _u18771)) | c_List_Olinorder__class_Osorted(_u18768, hAPP(hAPP(c_List_Omap(_u18769, _u18768), _u18770), c_List_Oremove1(_u18769, _u18772, _u18771))) )).
% 43.40/43.65 cnf(matrix-7654, plain, ( ~class_Orderings_Olinorder(_u18773) | ~c_List_Olinorder__class_Osorted(_u18773, hAPP(hAPP(c_List_Omap(_u18774, _u18773), _u18775), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18774, _u18773, _u18775), _u18776), _u18777))) | c_List_Olinorder__class_Osorted(_u18773, hAPP(hAPP(c_List_Omap(_u18774, _u18773), _u18775), _u18777)) )).
% 43.40/43.65 cnf(matrix-7655, plain, ( ~class_Orderings_Olinorder(_u18773) | ~c_List_Olinorder__class_Osorted(_u18773, hAPP(hAPP(c_List_Omap(_u18774, _u18773), _u18775), _u18777)) | c_List_Olinorder__class_Osorted(_u18773, hAPP(hAPP(c_List_Omap(_u18774, _u18773), _u18775), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18774, _u18773, _u18775), _u18776), _u18777))) )).
% 43.40/43.65 cnf(matrix-7656, plain, ( ~class_Orderings_Olinorder(_u18778) | c_List_Olinorder__class_Osorted(_u18778, hAPP(hAPP(c_List_Omap(_u18779, _u18778), _u18780), hAPP(c_List_Ofilter(_u18779, hAPP(hAPP(c_COMBC(_u18779, _u18778, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u18778, tc_fun(_u18778, tc_HOL_Obool), _u18779), c_fequal), _u18780)), hAPP(_u18781, _u18782))), _u18782))) )).
% 43.40/43.65 cnf(matrix-7657, plain, ( ~class_Orderings_Olinorder(_u18783) | ~c_List_Olinorder__class_Osorted(_u18783, hAPP(hAPP(c_List_Omap(_u18784, _u18783), _u18785), _u18786)) | c_List_Olinorder__class_Osorted(_u18783, hAPP(hAPP(c_List_Omap(_u18784, _u18783), _u18785), hAPP(c_List_Ofilter(_u18784, _u18787), _u18786))) )).
% 43.40/43.65 cnf(matrix-7658, plain, ( ~class_Orderings_Olinorder(_u18788) | c_List_Olinorder__class_Osorted(_u18788, hAPP(c_List_Ofilter(_u18788, hAPP(hAPP(c_COMBC(_u18788, _u18788, tc_HOL_Obool), c_fequal), hAPP(_u18789, _u18790))), _u18790)) )).
% 43.40/43.65 cnf(matrix-7659, plain, ( ~class_Orderings_Olinorder(_u18793) | ~c_List_Olinorder__class_Osorted(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795)) | c_List_Olinorder__class_Osorted(_u18793, _u18795) )).
% 43.40/43.65 cnf(matrix-7660, plain, ( ~class_Orderings_Olinorder(_u18793) | ~c_List_Olinorder__class_Osorted(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795)) | ~hBOOL(hAPP(hAPP(c_member(_u18793), _u18791), hAPP(c_List_Oset(_u18793), _u18795))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18793), _u18794), _u18791)) )).
% 43.40/43.65 cnf(matrix-7661, plain, ( ~class_Orderings_Olinorder(_u18793) | c_List_Olinorder__class_Osorted(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795)) | ~c_List_Olinorder__class_Osorted(_u18793, _u18795) | hBOOL(hAPP(hAPP(c_member(_u18793), skolem473(_u18795, _u18794, _u18793)), hAPP(c_List_Oset(_u18793), _u18795))) )).
% 43.40/43.65 cnf(matrix-7662, plain, ( ~class_Orderings_Olinorder(_u18793) | c_List_Olinorder__class_Osorted(_u18793, hAPP(hAPP(c_List_Olist_OCons(_u18793), _u18794), _u18795)) | ~c_List_Olinorder__class_Osorted(_u18793, _u18795) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18793), _u18794), skolem473(_u18795, _u18794, _u18793))) )).
% 43.40/43.65 cnf(matrix-7663, plain, ( ~class_Orderings_Olinorder(_u18800) | ~c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | c_List_Olinorder__class_Osorted(_u18800, _u18801) )).
% 43.40/43.65 cnf(matrix-7664, plain, ( ~class_Orderings_Olinorder(_u18800) | ~c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | c_List_Olinorder__class_Osorted(_u18800, _u18802) )).
% 43.40/43.65 cnf(matrix-7665, plain, ( ~class_Orderings_Olinorder(_u18800) | ~c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | ~hBOOL(hAPP(hAPP(c_member(_u18800), _u18797), hAPP(c_List_Oset(_u18800), _u18801))) | ~hBOOL(hAPP(hAPP(c_member(_u18800), _u18796), hAPP(c_List_Oset(_u18800), _u18802))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18800), _u18797), _u18796)) )).
% 43.40/43.65 cnf(matrix-7666, plain, ( ~class_Orderings_Olinorder(_u18800) | c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | ~c_List_Olinorder__class_Osorted(_u18800, _u18801) | ~c_List_Olinorder__class_Osorted(_u18800, _u18802) | hBOOL(hAPP(hAPP(c_member(_u18800), skolem474(_u18802, _u18801, _u18800)), hAPP(c_List_Oset(_u18800), _u18801))) )).
% 43.40/43.65 cnf(matrix-7667, plain, ( ~class_Orderings_Olinorder(_u18800) | c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | ~c_List_Olinorder__class_Osorted(_u18800, _u18801) | ~c_List_Olinorder__class_Osorted(_u18800, _u18802) | hBOOL(hAPP(hAPP(c_member(_u18800), skolem475(_u18802, _u18801, _u18800)), hAPP(c_List_Oset(_u18800), _u18802))) )).
% 43.40/43.65 cnf(matrix-7668, plain, ( ~class_Orderings_Olinorder(_u18800) | c_List_Olinorder__class_Osorted(_u18800, hAPP(hAPP(c_List_Oappend(_u18800), _u18801), _u18802)) | ~c_List_Olinorder__class_Osorted(_u18800, _u18801) | ~c_List_Olinorder__class_Osorted(_u18800, _u18802) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18800), skolem474(_u18802, _u18801, _u18800)), skolem475(_u18802, _u18801, _u18800))) )).
% 43.40/43.65 cnf(matrix-7669, plain, ( ~class_Orderings_Olinorder(_u18803) | ~c_List_Olinorder__class_Osorted(_u18803, hAPP(hAPP(c_List_Omap(_u18804, _u18803), _u18805), _u18806)) | ~hBOOL(hAPP(_u18807, _u18808)) | ( hAPP(c_List_Ofilter(_u18804, _u18807), hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18804, _u18803, _u18805), _u18808), _u18806)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18804, _u18803, _u18805), _u18808), hAPP(c_List_Ofilter(_u18804, _u18807), _u18806))) )).
% 43.40/43.65 cnf(matrix-7670, plain, ( ~class_Orderings_Olinorder(_u18811) | ~c_List_Olinorder__class_Osorted(_u18811, hAPP(hAPP(c_List_Olist_OCons(_u18811), _u18812), _u18813)) | ~hBOOL(hAPP(hAPP(c_member(_u18811), _u18809), hAPP(c_List_Oset(_u18811), _u18813))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18811), _u18812), _u18809)) )).
% 43.40/43.65 cnf(matrix-7671, plain, ( ~class_Orderings_Olinorder(_u18811) | ~c_List_Olinorder__class_Osorted(_u18811, hAPP(hAPP(c_List_Olist_OCons(_u18811), _u18812), _u18813)) | c_List_Olinorder__class_Osorted(_u18811, _u18813) )).
% 43.40/43.65 cnf(matrix-7672, plain, ( ~class_Orderings_Olinorder(_u18811) | c_List_Olinorder__class_Osorted(_u18811, hAPP(hAPP(c_List_Olist_OCons(_u18811), _u18812), _u18813)) | ~c_List_Olinorder__class_Osorted(_u18811, _u18813) | hBOOL(hAPP(hAPP(c_member(_u18811), skolem476(_u18813, _u18812, _u18811)), hAPP(c_List_Oset(_u18811), _u18813))) )).
% 43.40/43.65 cnf(matrix-7673, plain, ( ~class_Orderings_Olinorder(_u18811) | c_List_Olinorder__class_Osorted(_u18811, hAPP(hAPP(c_List_Olist_OCons(_u18811), _u18812), _u18813)) | ~c_List_Olinorder__class_Osorted(_u18811, _u18813) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18811), _u18812), skolem476(_u18813, _u18812, _u18811))) )).
% 43.40/43.65 cnf(matrix-7674, plain, ( ~class_Orderings_Olinorder(_u18814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18814), _u18815)) | ( hAPP(c_List_Oset(_u18814), c_List_Olinorder__class_Osorted__list__of__set(_u18814, _u18815)) = _u18815) )).
% 43.40/43.65 cnf(matrix-7675, plain, ( ~class_Orderings_Olinorder(_u18814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18814), _u18815)) | c_List_Olinorder__class_Osorted(_u18814, c_List_Olinorder__class_Osorted__list__of__set(_u18814, _u18815)) )).
% 43.40/43.65 cnf(matrix-7676, plain, ( ~class_Orderings_Olinorder(_u18814) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u18814), _u18815)) | hBOOL(hAPP(c_List_Odistinct(_u18814), c_List_Olinorder__class_Osorted__list__of__set(_u18814, _u18815))) )).
% 43.40/43.65 cnf(matrix-7677, plain, ( ~class_Orderings_Olinorder(_u18816) | ~hBOOL(hAPP(hAPP(c_member(_u18816), _u18817), hAPP(c_List_Oset(_u18816), _u18818))) | ~c_List_Olinorder__class_Osorted(_u18816, _u18818) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u18816, _u18816, c_COMBI(_u18816)), _u18817), c_List_Oremove1(_u18816, _u18817, _u18818)) = _u18818) )).
% 43.40/43.65 cnf(matrix-7678, plain, ( ~class_Orderings_Olinorder(_u18823) | ~c_List_Olinorder__class_Osorted(_u18823, _u18824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18820), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18823)), _u18824))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18819), _u18820)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18823), hAPP(hAPP(c_List_Onth(_u18823), _u18824), _u18819)), hAPP(hAPP(c_List_Onth(_u18823), _u18824), _u18820))) )).
% 43.40/43.65 cnf(matrix-7679, plain, ( ~class_Orderings_Olinorder(_u18823) | c_List_Olinorder__class_Osorted(_u18823, _u18824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem477(_u18824, _u18823)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18823)), _u18824))) )).
% 43.40/43.65 cnf(matrix-7680, plain, ( ~class_Orderings_Olinorder(_u18823) | c_List_Olinorder__class_Osorted(_u18823, _u18824) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem478(_u18824, _u18823)), skolem477(_u18824, _u18823))) )).
% 43.40/43.65 cnf(matrix-7681, plain, ( ~class_Orderings_Olinorder(_u18823) | c_List_Olinorder__class_Osorted(_u18823, _u18824) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18823), hAPP(hAPP(c_List_Onth(_u18823), _u18824), skolem478(_u18824, _u18823))), hAPP(hAPP(c_List_Onth(_u18823), _u18824), skolem477(_u18824, _u18823)))) )).
% 43.40/43.65 cnf(matrix-7682, plain, ( ~class_Orderings_Olinorder(_u18825) | ~c_List_Olinorder__class_Osorted(_u18825, _u18826) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u18827), _u18828)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18828), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18825)), _u18826))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u18825), hAPP(hAPP(c_List_Onth(_u18825), _u18826), _u18827)), hAPP(hAPP(c_List_Onth(_u18825), _u18826), _u18828))) )).
% 43.40/43.65 cnf(matrix-7683, plain, ( ~class_Orderings_Olinorder(_u18829) | ~c_Fun_Oinj__on(_u18830, _u18829, _u18831, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u18830, tc_HOL_Obool)), hAPP(c_List_Oset(_u18830), _u18832)), hAPP(c_List_Oset(_u18830), _u18833))) | ~c_List_Olinorder__class_Osorted(_u18829, hAPP(hAPP(c_List_Omap(_u18830, _u18829), _u18831), _u18832)) | ~hBOOL(hAPP(c_List_Odistinct(_u18829), hAPP(hAPP(c_List_Omap(_u18830, _u18829), _u18831), _u18832))) | ~c_List_Olinorder__class_Osorted(_u18829, hAPP(hAPP(c_List_Omap(_u18830, _u18829), _u18831), _u18833)) | ~hBOOL(hAPP(c_List_Odistinct(_u18829), hAPP(hAPP(c_List_Omap(_u18830, _u18829), _u18831), _u18833))) | ( hAPP(c_List_Oset(_u18830), _u18832) != hAPP(c_List_Oset(_u18830), _u18833)) | ( _u18832 = _u18833) )).
% 43.40/43.65 cnf(matrix-7684, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18834), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18834))), _u18835))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18836), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18834))), _u18835))) | ( hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18834), _u18834), hAPP(hAPP(c_COMBC(tc_List_Olist(_u18834), tc_Nat_Onat, _u18834), c_List_Onth(_u18834)), _u18836)), hAPP(c_List_Ofilter(tc_List_Olist(_u18834), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18834)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18836)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18834)))), c_List_Otranspose(_u18834, _u18835))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18834)), _u18835), _u18836)) )).
% 43.40/43.65 cnf(matrix-7685, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18837), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18837))), _u18838))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18839), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18837))), c_List_Otranspose(_u18837, _u18838)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18840), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u18837))), hAPP(c_List_Ofilter(tc_List_Olist(_u18837), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_HOL_Obool, tc_List_Olist(_u18837)), hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18839)), c_Nat_Osize__class_Osize(tc_List_Olist(_u18837)))), _u18838)))) | ( hAPP(hAPP(c_List_Onth(_u18837), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18837)), c_List_Otranspose(_u18837, _u18838)), _u18839)), _u18840) = hAPP(hAPP(c_List_Onth(_u18837), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u18837)), _u18838), _u18840)), _u18839)) )).
% 43.40/43.65 cnf(matrix-7686, plain, ( c_Fun_Oinj__on(tc_List_Olist(_u18841), tc_List_Olist(_u18841), c_List_Orev(_u18841), _u18842) )).
% 43.40/43.65 cnf(matrix-7687, plain, ( ( hAPP(c_List_Orev(_u18845), _u18847) != c_List_Olist_ONil(_u18845)) | ( _u18847 = c_List_Olist_ONil(_u18845)) )).
% 43.40/43.65 cnf(matrix-7688, plain, ( ( _u18848 != c_List_Olist_ONil(_u18846)) | ( hAPP(c_List_Orev(_u18846), _u18848) = c_List_Olist_ONil(_u18846)) )).
% 43.40/43.65 cnf(matrix-7689, plain, ( ( c_List_Olist_ONil(_u18851) != hAPP(c_List_Orev(_u18851), _u18853)) | ( _u18853 = c_List_Olist_ONil(_u18851)) )).
% 43.40/43.65 cnf(matrix-7690, plain, ( ( _u18854 != c_List_Olist_ONil(_u18852)) | ( c_List_Olist_ONil(_u18852) = hAPP(c_List_Orev(_u18852), _u18854)) )).
% 43.40/43.65 cnf(matrix-7691, plain, ( ( hAPP(c_List_Orev(_u18855), c_List_Olist_ONil(_u18855)) = c_List_Olist_ONil(_u18855)) )).
% 43.40/43.65 cnf(matrix-7692, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u18859), _u18861), c_List_Olist_ONil(_u18859)) != hAPP(c_List_Orev(_u18859), _u18863)) | ( _u18863 = hAPP(hAPP(c_List_Olist_OCons(_u18859), _u18861), c_List_Olist_ONil(_u18859))) )).
% 43.40/43.65 cnf(matrix-7693, plain, ( ( _u18864 != hAPP(hAPP(c_List_Olist_OCons(_u18860), _u18862), c_List_Olist_ONil(_u18860))) | ( hAPP(hAPP(c_List_Olist_OCons(_u18860), _u18862), c_List_Olist_ONil(_u18860)) = hAPP(c_List_Orev(_u18860), _u18864)) )).
% 43.40/43.65 cnf(matrix-7694, plain, ( ( hAPP(c_List_Orev(_u18868), _u18870) != hAPP(hAPP(c_List_Olist_OCons(_u18868), _u18872), c_List_Olist_ONil(_u18868))) | ( _u18870 = hAPP(hAPP(c_List_Olist_OCons(_u18868), _u18872), c_List_Olist_ONil(_u18868))) )).
% 43.40/43.65 cnf(matrix-7695, plain, ( ( _u18871 != hAPP(hAPP(c_List_Olist_OCons(_u18869), _u18873), c_List_Olist_ONil(_u18869))) | ( hAPP(c_List_Orev(_u18869), _u18871) = hAPP(hAPP(c_List_Olist_OCons(_u18869), _u18873), c_List_Olist_ONil(_u18869))) )).
% 43.40/43.65 cnf(matrix-7696, plain, ( ( hAPP(c_List_Orev(_u18874), hAPP(hAPP(c_List_Oappend(_u18874), _u18875), _u18876)) = hAPP(hAPP(c_List_Oappend(_u18874), hAPP(c_List_Orev(_u18874), _u18876)), hAPP(c_List_Orev(_u18874), _u18875))) )).
% 43.40/43.65 cnf(matrix-7697, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18879), hAPP(c_List_Orev(_u18879), _u18881))) | hBOOL(hAPP(c_List_Odistinct(_u18879), _u18881)) )).
% 43.40/43.65 cnf(matrix-7698, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u18880), _u18882)) | hBOOL(hAPP(c_List_Odistinct(_u18880), hAPP(c_List_Orev(_u18880), _u18882))) )).
% 43.40/43.65 cnf(matrix-7699, plain, ( ( hAPP(c_List_Orev(_u18883), c_List_Oconcat(_u18883, _u18884)) = c_List_Oconcat(_u18883, hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18883), tc_List_Olist(_u18883)), c_List_Orev(_u18883)), hAPP(c_List_Orev(tc_List_Olist(_u18883)), _u18884)))) )).
% 43.40/43.65 cnf(matrix-7700, plain, ( ( hAPP(c_List_Orev(_u18885), hAPP(hAPP(c_List_Omap(_u18886, _u18885), _u18887), _u18888)) = hAPP(hAPP(c_List_Omap(_u18886, _u18885), _u18887), hAPP(c_List_Orev(_u18886), _u18888))) )).
% 43.40/43.65 cnf(matrix-7701, plain, ( ( hAPP(c_List_Orev(_u18889), hAPP(c_List_Ofilter(_u18889, _u18890), _u18891)) = hAPP(c_List_Ofilter(_u18889, _u18890), hAPP(c_List_Orev(_u18889), _u18891))) )).
% 43.40/43.65 cnf(matrix-7702, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18892)), _u18893) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18894)), _u18895)) | ( hAPP(hAPP(c_List_Ozip(_u18892, _u18894), hAPP(c_List_Orev(_u18892), _u18893)), hAPP(c_List_Orev(_u18894), _u18895)) = hAPP(c_List_Orev(tc_prod(_u18892, _u18894)), hAPP(hAPP(c_List_Ozip(_u18892, _u18894), _u18893), _u18895))) )).
% 43.40/43.65 cnf(matrix-7703, plain, ( ( hAPP(c_List_Oset(_u18896), hAPP(c_List_Orev(_u18896), _u18897)) = hAPP(c_List_Oset(_u18896), _u18897)) )).
% 43.40/43.65 cnf(matrix-7704, plain, ( ~class_Groups_Ocomm__monoid__add(_u18898) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u18898), hAPP(c_List_Orev(_u18898), _u18899)) = hAPP(c_List_Omonoid__add__class_Olistsum(_u18898), _u18899)) )).
% 43.40/43.65 cnf(matrix-7705, plain, ( ( _u18905 = _u18907) | ( hAPP(c_List_Orev(_u18903), _u18905) != hAPP(c_List_Orev(_u18903), _u18907)) )).
% 43.40/43.65 cnf(matrix-7706, plain, ( ( _u18906 != _u18908) | ( hAPP(c_List_Orev(_u18904), _u18906) = hAPP(c_List_Orev(_u18904), _u18908)) )).
% 43.40/43.65 cnf(matrix-7707, plain, ( ( hAPP(c_List_Orev(_u18912), _u18914) != _u18916) | ( _u18914 = hAPP(c_List_Orev(_u18912), _u18916)) )).
% 43.40/43.65 cnf(matrix-7708, plain, ( ( _u18915 != hAPP(c_List_Orev(_u18913), _u18917)) | ( hAPP(c_List_Orev(_u18913), _u18915) = _u18917) )).
% 43.40/43.65 cnf(matrix-7709, plain, ( ( hAPP(c_List_Orev(_u18918), hAPP(c_List_Orev(_u18918), _u18919)) = _u18919) )).
% 43.40/43.65 cnf(matrix-7710, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18920)), hAPP(c_List_Orev(_u18920), _u18921)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18920)), _u18921)) )).
% 43.40/43.65 cnf(matrix-7711, plain, ( ~c_List_Olist__all2(_u18927, _u18929, _u18931, hAPP(c_List_Orev(_u18927), _u18933), _u18935) | c_List_Olist__all2(_u18927, _u18929, _u18931, _u18933, hAPP(c_List_Orev(_u18929), _u18935)) )).
% 43.40/43.65 cnf(matrix-7712, plain, ( ~c_List_Olist__all2(_u18928, _u18930, _u18932, _u18934, hAPP(c_List_Orev(_u18930), _u18936)) | c_List_Olist__all2(_u18928, _u18930, _u18932, hAPP(c_List_Orev(_u18928), _u18934), _u18936) )).
% 43.40/43.65 cnf(matrix-7713, plain, ( ~c_List_Olist__all2(_u18942, _u18944, _u18946, hAPP(c_List_Orev(_u18942), _u18948), hAPP(c_List_Orev(_u18944), _u18950)) | c_List_Olist__all2(_u18942, _u18944, _u18946, _u18948, _u18950) )).
% 43.40/43.65 cnf(matrix-7714, plain, ( ~c_List_Olist__all2(_u18943, _u18945, _u18947, _u18949, _u18951) | c_List_Olist__all2(_u18943, _u18945, _u18947, hAPP(c_List_Orev(_u18943), _u18949), hAPP(c_List_Orev(_u18945), _u18951)) )).
% 43.40/43.65 cnf(matrix-7715, plain, ( ( hAPP(c_List_Ofoldl(_u18952, _u18953, _u18954, _u18955), _u18956) = c_List_Ofoldr(_u18953, _u18952, hAPP(c_COMBC(_u18952, _u18953, _u18952), _u18954), hAPP(c_List_Orev(_u18953), _u18956), _u18955)) )).
% 43.40/43.65 cnf(matrix-7716, plain, ( ( c_List_Ofoldr(_u18957, _u18958, _u18959, _u18960, _u18961) = hAPP(c_List_Ofoldl(_u18958, _u18957, hAPP(c_COMBC(_u18957, _u18958, _u18958), _u18959), _u18961), hAPP(c_List_Orev(_u18957), _u18960))) )).
% 43.40/43.65 cnf(matrix-7717, plain, ( ( hAPP(c_List_Orev(_u18962), hAPP(hAPP(c_List_Olist_OCons(_u18962), _u18963), _u18964)) = hAPP(hAPP(c_List_Oappend(_u18962), hAPP(c_List_Orev(_u18962), _u18964)), hAPP(hAPP(c_List_Olist_OCons(_u18962), _u18963), c_List_Olist_ONil(_u18962)))) )).
% 43.40/43.65 cnf(matrix-7718, plain, ( ( hAPP(c_List_Orev(_u18969), _u18971) != hAPP(hAPP(c_List_Olist_OCons(_u18969), _u18973), _u18975)) | ( _u18971 = hAPP(hAPP(c_List_Oappend(_u18969), hAPP(c_List_Orev(_u18969), _u18975)), hAPP(hAPP(c_List_Olist_OCons(_u18969), _u18973), c_List_Olist_ONil(_u18969)))) )).
% 43.40/43.65 cnf(matrix-7719, plain, ( ( _u18972 != hAPP(hAPP(c_List_Oappend(_u18970), hAPP(c_List_Orev(_u18970), _u18976)), hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18974), c_List_Olist_ONil(_u18970)))) | ( hAPP(c_List_Orev(_u18970), _u18972) = hAPP(hAPP(c_List_Olist_OCons(_u18970), _u18974), _u18976)) )).
% 43.40/43.65 cnf(matrix-7720, plain, ( ( _u18977 = c_List_Olist_ONil(_u18978)) | ( c_List_Olast(_u18978, hAPP(c_List_Orev(_u18978), _u18977)) = hAPP(c_List_Ohd(_u18978), _u18977)) )).
% 43.40/43.65 cnf(matrix-7721, plain, ( ( _u18979 = c_List_Olist_ONil(_u18980)) | ( hAPP(c_List_Ohd(_u18980), hAPP(c_List_Orev(_u18980), _u18979)) = c_List_Olast(_u18980, _u18979)) )).
% 43.40/43.65 cnf(matrix-7722, plain, ( c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u18981), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u18981))), c_List_Otranspose(_u18981, _u18982)))) )).
% 43.40/43.65 cnf(matrix-7723, plain, ( ( hAPP(c_List_Orev(_u18983), _u18984) = hAPP(c_List_Ofoldl(tc_List_Olist(_u18983), _u18983, hAPP(c_COMBC(_u18983, tc_List_Olist(_u18983), tc_List_Olist(_u18983)), c_List_Olist_OCons(_u18983)), c_List_Olist_ONil(_u18983)), _u18984)) )).
% 43.40/43.65 cnf(matrix-7724, plain, ( ( hAPP(c_List_Orev(_u18985), hAPP(hAPP(c_List_Odrop(_u18985), _u18986), _u18987)) = hAPP(hAPP(c_List_Otake(_u18985), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18985)), _u18987)), _u18986)), hAPP(c_List_Orev(_u18985), _u18987))) )).
% 43.40/43.65 cnf(matrix-7725, plain, ( ( hAPP(c_List_Orev(_u18988), hAPP(hAPP(c_List_Otake(_u18988), _u18989), _u18990)) = hAPP(hAPP(c_List_Odrop(_u18988), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18988)), _u18990)), _u18989)), hAPP(c_List_Orev(_u18988), _u18990))) )).
% 43.40/43.65 cnf(matrix-7726, plain, ( ( hAPP(c_List_Orotate(_u18991, _u18992), hAPP(c_List_Orev(_u18991), _u18993)) = hAPP(c_List_Orev(_u18991), hAPP(c_List_Orotate(_u18991, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18991)), _u18993)), c_Divides_Odiv__class_Omod(tc_Nat_Onat, _u18992, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18991)), _u18993)))), _u18993))) )).
% 43.40/43.65 cnf(matrix-7727, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18994), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18995)), _u18996))) | ( hAPP(hAPP(c_List_Onth(_u18995), hAPP(c_List_Orev(_u18995), _u18996)), _u18994) = hAPP(hAPP(c_List_Onth(_u18995), _u18996), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18995)), _u18996)), hAPP(c_Nat_OSuc, _u18994)))) )).
% 43.40/43.65 cnf(matrix-7728, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u18997), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u18998)), _u18999))) | ( hAPP(c_List_Orev(_u18998), hAPP(hAPP(c_List_Olist__update(_u18998, _u18999), _u18997), _u19000)) = hAPP(hAPP(c_List_Olist__update(_u18998, hAPP(c_List_Orev(_u18998), _u18999)), 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(_u18998)), _u18999)), _u18997)), c_Groups_Oone__class_Oone(tc_Nat_Onat))), _u19000)) )).
% 43.40/43.65 cnf(matrix-7729, plain, ( ~class_Orderings_Olinorder(_u19001) | ~c_List_Olinorder__class_Osorted(_u19001, hAPP(c_List_Orev(_u19001), _u19002)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19003), _u19004)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19004), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19001)), _u19002))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19001), hAPP(hAPP(c_List_Onth(_u19001), _u19002), _u19004)), hAPP(hAPP(c_List_Onth(_u19001), _u19002), _u19003))) )).
% 43.40/43.65 cnf(matrix-7730, plain, ( ~class_Orderings_Olinorder(_u19005) | ~c_List_Olinorder__class_Osorted(_u19005, hAPP(c_List_Orev(_u19005), _u19006)) | ( _u19006 != c_List_Olist_ONil(_u19005)) | ( c_List_Ofoldr(_u19005, _u19005, c_Orderings_Oord__class_Omax(_u19005), _u19006, _u19007) = _u19007) )).
% 43.40/43.65 cnf(matrix-7731, plain, ( ~class_Orderings_Olinorder(_u19005) | ~c_List_Olinorder__class_Osorted(_u19005, hAPP(c_List_Orev(_u19005), _u19006)) | ( _u19006 = c_List_Olist_ONil(_u19005)) | ( c_List_Ofoldr(_u19005, _u19005, c_Orderings_Oord__class_Omax(_u19005), _u19006, _u19007) = hAPP(hAPP(c_Orderings_Oord__class_Omax(_u19005), hAPP(hAPP(c_List_Onth(_u19005), _u19006), c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), _u19007)) )).
% 43.40/43.65 cnf(matrix-7732, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19008), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19008))), _u19009))) | ( _u19009 != c_List_Olist_ONil(tc_List_Olist(_u19008))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19008))), c_List_Otranspose(_u19008, _u19009)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7733, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19008), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19008))), _u19009))) | ( _u19009 = c_List_Olist_ONil(tc_List_Olist(_u19008))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(_u19008))), c_List_Otranspose(_u19008, _u19009)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19008)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19008)), _u19009), c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-7734, 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))), _u19011))) | ( 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)))), c_List_Otranspose(_u19010, _u19011))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19010)), hAPP(hAPP(c_List_Onth(tc_List_Olist(_u19010)), _u19011), _u19012))) )).
% 43.40/43.65 cnf(matrix-7735, plain, ( ~c_List_Olinorder__class_Osorted(tc_Nat_Onat, hAPP(c_List_Orev(tc_Nat_Onat), hAPP(hAPP(c_List_Omap(tc_List_Olist(_u19013), tc_Nat_Onat), c_Nat_Osize__class_Osize(tc_List_Olist(_u19013))), _u19014))) | ( c_List_Otranspose(_u19013, c_List_Otranspose(_u19013, _u19014)) = c_List_OtakeWhile(tc_List_Olist(_u19013), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, tc_List_Olist(_u19013)), c_fNot), hAPP(hAPP(c_COMBC(tc_List_Olist(_u19013), tc_List_Olist(_u19013), tc_HOL_Obool), c_fequal), c_List_Olist_ONil(_u19013))), _u19014)) )).
% 43.40/43.65 cnf(matrix-7736, plain, ( ( c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint))) )).
% 43.40/43.65 cnf(matrix-7737, plain, ( ~class_Orderings_Olinorder(_u19015) | ~c_List_Olinorder__class_Osorted(_u19015, _u19016) | c_List_Olinorder__class_Osorted(_u19015, c_List_OtakeWhile(_u19015, _u19017, _u19016)) )).
% 43.40/43.65 cnf(matrix-7738, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19018)), c_List_OtakeWhile(_u19018, _u19019, _u19020))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19018)), _u19020))) )).
% 43.40/43.65 cnf(matrix-7739, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19021), _u19022), hAPP(c_List_Oset(_u19021), c_List_OtakeWhile(_u19021, _u19023, _u19024)))) | hBOOL(hAPP(hAPP(c_member(_u19021), _u19022), hAPP(c_List_Oset(_u19021), _u19024))) )).
% 43.40/43.65 cnf(matrix-7740, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19021), _u19022), hAPP(c_List_Oset(_u19021), c_List_OtakeWhile(_u19021, _u19023, _u19024)))) | hBOOL(hAPP(_u19023, _u19022)) )).
% 43.40/43.65 cnf(matrix-7741, plain, ( ( c_List_OtakeWhile(_u19030, _u19032, _u19034) != _u19034) | ~hBOOL(hAPP(hAPP(c_member(_u19030), _u19025), hAPP(c_List_Oset(_u19030), _u19034))) | hBOOL(hAPP(_u19032, _u19025)) )).
% 43.40/43.65 cnf(matrix-7742, plain, ( ( c_List_OtakeWhile(_u19031, _u19033, _u19035) = _u19035) | hBOOL(hAPP(hAPP(c_member(_u19031), skolem479(_u19035, _u19033, _u19031)), hAPP(c_List_Oset(_u19031), _u19035))) )).
% 43.40/43.65 cnf(matrix-7743, plain, ( ( c_List_OtakeWhile(_u19031, _u19033, _u19035) = _u19035) | ~hBOOL(hAPP(_u19033, skolem479(_u19035, _u19033, _u19031))) )).
% 43.40/43.65 cnf(matrix-7744, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19036, _u19037), c_List_OtakeWhile(_u19036, _u19038, _u19039)), _u19040) = c_List_OtakeWhile(tc_prod(_u19036, _u19037), hAPP(c_Fun_Ocomp(_u19036, tc_HOL_Obool, tc_prod(_u19036, _u19037), _u19038), c_Product__Type_Ofst(_u19036, _u19037)), hAPP(hAPP(c_List_Ozip(_u19036, _u19037), _u19039), _u19040))) )).
% 43.40/43.65 cnf(matrix-7745, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19041, _u19042), _u19043), c_List_OtakeWhile(_u19042, _u19044, _u19045)) = c_List_OtakeWhile(tc_prod(_u19041, _u19042), hAPP(c_Fun_Ocomp(_u19042, tc_HOL_Obool, tc_prod(_u19041, _u19042), _u19044), c_Product__Type_Osnd(_u19041, _u19042)), hAPP(hAPP(c_List_Ozip(_u19041, _u19042), _u19043), _u19045))) )).
% 43.40/43.65 cnf(matrix-7746, plain, ( ( c_List_OtakeWhile(_u19046, _u19047, hAPP(hAPP(c_List_Omap(_u19048, _u19046), _u19049), _u19050)) = hAPP(hAPP(c_List_Omap(_u19048, _u19046), _u19049), c_List_OtakeWhile(_u19048, hAPP(c_Fun_Ocomp(_u19046, tc_HOL_Obool, _u19048, _u19047), _u19049), _u19050))) )).
% 43.40/43.65 cnf(matrix-7747, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19051), _u19052)) | hBOOL(hAPP(c_List_Odistinct(_u19051), c_List_OtakeWhile(_u19051, _u19053, _u19052))) )).
% 43.40/43.65 cnf(matrix-7748, plain, ( hBOOL(hAPP(_u19054, _u19055)) | ( c_List_OtakeWhile(_u19056, _u19054, hAPP(hAPP(c_List_Oappend(_u19056), _u19057), hAPP(hAPP(c_List_Olist_OCons(_u19056), _u19055), _u19058))) = c_List_OtakeWhile(_u19056, _u19054, _u19057)) )).
% 43.40/43.65 cnf(matrix-7749, plain, ( ~hBOOL(hAPP(_u19063, _u19065)) | ( c_List_OtakeWhile(_u19067, _u19063, hAPP(hAPP(c_List_Olist_OCons(_u19067), _u19065), _u19069)) = hAPP(hAPP(c_List_Olist_OCons(_u19067), _u19065), c_List_OtakeWhile(_u19067, _u19063, _u19069))) )).
% 43.40/43.65 cnf(matrix-7750, plain, ( hBOOL(hAPP(_u19064, _u19066)) | ( c_List_OtakeWhile(_u19068, _u19064, hAPP(hAPP(c_List_Olist_OCons(_u19068), _u19066), _u19070)) = c_List_Olist_ONil(_u19068)) )).
% 43.40/43.65 cnf(matrix-7751, plain, ( ( c_List_OtakeWhile(_u19071, _u19072, _u19073) = hAPP(hAPP(c_List_Otake(_u19071), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19071)), c_List_OtakeWhile(_u19071, _u19072, _u19073))), _u19073)) )).
% 43.40/43.65 cnf(matrix-7752, plain, ( ( c_List_OtakeWhile(_u19074, _u19075, c_List_Olist_ONil(_u19074)) = c_List_Olist_ONil(_u19074)) )).
% 43.40/43.65 cnf(matrix-7753, plain, ( ( c_List_Oreturn__list(_u19076) = hAPP(hAPP(c_List_Omap(tc_Int_Oint, tc_Nat_Onat), c_Int_Onat), _u19076)) )).
% 43.40/43.65 cnf(matrix-7754, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19077), _u19078), hAPP(c_List_Oset(_u19077), _u19079))) | hBOOL(hAPP(_u19080, _u19078)) | ( c_List_OtakeWhile(_u19077, _u19080, hAPP(hAPP(c_List_Oappend(_u19077), _u19079), _u19081)) = c_List_OtakeWhile(_u19077, _u19080, _u19079)) )).
% 43.40/43.65 cnf(matrix-7755, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19082)), c_List_OtakeWhile(_u19082, _u19083, _u19084))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19082)), _u19084))) | ~hBOOL(hAPP(_u19083, hAPP(hAPP(c_List_Onth(_u19082), _u19084), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19082)), c_List_OtakeWhile(_u19082, _u19083, _u19084))))) )).
% 43.40/43.65 cnf(matrix-7756, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19085), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19086)), c_List_OtakeWhile(_u19086, _u19087, _u19088)))) | ( hAPP(hAPP(c_List_Onth(_u19086), c_List_OtakeWhile(_u19086, _u19087, _u19088)), _u19085) = hAPP(hAPP(c_List_Onth(_u19086), _u19088), _u19085)) )).
% 43.40/43.65 cnf(matrix-7757, plain, ( ( _u19089 = c_List_Olist_ONil(_u19090)) | ~hBOOL(hAPP(c_List_Odistinct(_u19090), _u19089)) | ( c_List_OtakeWhile(_u19090, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19090), c_fNot), hAPP(hAPP(c_COMBC(_u19090, _u19090, tc_HOL_Obool), c_fequal), c_List_Olast(_u19090, _u19089))), _u19089) = c_List_Obutlast(_u19090, _u19089)) )).
% 43.40/43.65 cnf(matrix-7758, plain, ( ~class_Orderings_Olinorder(_u19091) | ~c_List_Olinorder__class_Osorted(_u19091, hAPP(c_List_Orev(_u19091), hAPP(hAPP(c_List_Omap(_u19092, _u19091), _u19093), _u19094))) | ( hAPP(c_List_Ofilter(_u19092, hAPP(hAPP(c_COMBB(_u19091, tc_HOL_Obool, _u19092), hAPP(c_Orderings_Oord__class_Oless(_u19091), _u19095)), _u19093)), _u19094) = c_List_OtakeWhile(_u19092, hAPP(hAPP(c_COMBB(_u19091, tc_HOL_Obool, _u19092), hAPP(c_Orderings_Oord__class_Oless(_u19091), _u19095)), _u19093), _u19094)) )).
% 43.40/43.65 cnf(matrix-7759, plain, ( ~c_List_Onat__list(_u19096) | ( c_List_Oembed__list(c_List_Oreturn__list(_u19096)) = _u19096) )).
% 43.40/43.65 cnf(matrix-7760, plain, ( ( hAPP(hAPP(c_List_Oappend(tc_Nat_Onat), _u19097), _u19098) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint), c_List_Oembed__list(_u19097)), c_List_Oembed__list(_u19098)))) )).
% 43.40/43.65 cnf(matrix-7761, plain, ( ( c_List_Oembed__list(_u19099) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat, tc_Int_Oint), c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)), _u19099)) )).
% 43.40/43.65 cnf(matrix-7762, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19100), _u19101)) | ~hBOOL(hAPP(hAPP(c_member(_u19100), _u19102), hAPP(c_List_Oset(_u19100), _u19101))) | ( c_List_OtakeWhile(_u19100, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19100), c_fNot), hAPP(hAPP(c_COMBC(_u19100, _u19100, tc_HOL_Obool), c_fequal), _u19102)), hAPP(c_List_Orev(_u19100), _u19101)) = hAPP(c_List_Orev(_u19100), hAPP(c_List_Otl(_u19100), c_List_OdropWhile(_u19100, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19100), c_fNot), hAPP(hAPP(c_COMBC(_u19100, _u19100, tc_HOL_Obool), c_fequal), _u19102)), _u19101)))) )).
% 43.40/43.65 cnf(matrix-7763, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19103), _u19104)) | ~hBOOL(hAPP(hAPP(c_member(_u19103), _u19105), hAPP(c_List_Oset(_u19103), _u19104))) | ( c_List_OdropWhile(_u19103, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19103), c_fNot), hAPP(hAPP(c_COMBC(_u19103, _u19103, tc_HOL_Obool), c_fequal), _u19105)), hAPP(c_List_Orev(_u19103), _u19104)) = hAPP(hAPP(c_List_Olist_OCons(_u19103), _u19105), hAPP(c_List_Orev(_u19103), c_List_OtakeWhile(_u19103, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19103), c_fNot), hAPP(hAPP(c_COMBC(_u19103, _u19103, tc_HOL_Obool), c_fequal), _u19105)), _u19104)))) )).
% 43.40/43.65 cnf(matrix-7764, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19106), c_List_OtakeWhile(_u19106, _u19107, _u19108)), c_List_OdropWhile(_u19106, _u19107, _u19108)) = _u19108) )).
% 43.40/43.65 cnf(matrix-7765, plain, ( ~class_Orderings_Olinorder(_u19109) | ~c_List_Olinorder__class_Osorted(_u19109, _u19110) | c_List_Olinorder__class_Osorted(_u19109, c_List_OdropWhile(_u19109, _u19111, _u19110)) )).
% 43.40/43.65 cnf(matrix-7766, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19112)), c_List_OdropWhile(_u19112, _u19113, _u19114))), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19112)), _u19114))) )).
% 43.40/43.65 cnf(matrix-7767, plain, ( ( c_List_OdropWhile(_u19115, _u19116, _u19117) = c_List_Olist_ONil(_u19115)) | ~hBOOL(hAPP(_u19116, hAPP(c_List_Ohd(_u19115), c_List_OdropWhile(_u19115, _u19116, _u19117)))) )).
% 43.40/43.65 cnf(matrix-7768, plain, ( ( c_List_OdropWhile(_u19123, _u19125, _u19127) != c_List_Olist_ONil(_u19123)) | ~hBOOL(hAPP(hAPP(c_member(_u19123), _u19118), hAPP(c_List_Oset(_u19123), _u19127))) | hBOOL(hAPP(_u19125, _u19118)) )).
% 43.40/43.65 cnf(matrix-7769, plain, ( ( c_List_OdropWhile(_u19124, _u19126, _u19128) = c_List_Olist_ONil(_u19124)) | hBOOL(hAPP(hAPP(c_member(_u19124), skolem480(_u19128, _u19126, _u19124)), hAPP(c_List_Oset(_u19124), _u19128))) )).
% 43.40/43.65 cnf(matrix-7770, plain, ( ( c_List_OdropWhile(_u19124, _u19126, _u19128) = c_List_Olist_ONil(_u19124)) | ~hBOOL(hAPP(_u19126, skolem480(_u19128, _u19126, _u19124))) )).
% 43.40/43.65 cnf(matrix-7771, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19129), _u19130)) | hBOOL(hAPP(c_List_Odistinct(_u19129), c_List_OdropWhile(_u19129, _u19131, _u19130))) )).
% 43.40/43.65 cnf(matrix-7772, plain, ( ~hBOOL(hAPP(_u19136, _u19138)) | ( c_List_OdropWhile(_u19140, _u19136, hAPP(hAPP(c_List_Olist_OCons(_u19140), _u19138), _u19142)) = c_List_OdropWhile(_u19140, _u19136, _u19142)) )).
% 43.40/43.65 cnf(matrix-7773, plain, ( hBOOL(hAPP(_u19137, _u19139)) | ( c_List_OdropWhile(_u19141, _u19137, hAPP(hAPP(c_List_Olist_OCons(_u19141), _u19139), _u19143)) = hAPP(hAPP(c_List_Olist_OCons(_u19141), _u19139), _u19143)) )).
% 43.40/43.65 cnf(matrix-7774, plain, ( ( c_List_OdropWhile(_u19144, _u19145, c_List_Olist_ONil(_u19144)) = c_List_Olist_ONil(_u19144)) )).
% 43.40/43.65 cnf(matrix-7775, plain, ( ( c_List_OdropWhile(_u19146, _u19147, hAPP(hAPP(c_List_Omap(_u19148, _u19146), _u19149), _u19150)) = hAPP(hAPP(c_List_Omap(_u19148, _u19146), _u19149), c_List_OdropWhile(_u19148, hAPP(c_Fun_Ocomp(_u19146, tc_HOL_Obool, _u19148, _u19147), _u19149), _u19150))) )).
% 43.40/43.65 cnf(matrix-7776, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19151), _u19152), hAPP(c_List_Oset(_u19151), _u19153))) | hBOOL(hAPP(_u19154, _u19152)) | ( c_List_OdropWhile(_u19151, _u19154, hAPP(hAPP(c_List_Oappend(_u19151), _u19153), _u19155)) = hAPP(hAPP(c_List_Oappend(_u19151), c_List_OdropWhile(_u19151, _u19154, _u19153)), _u19155)) )).
% 43.40/43.65 cnf(matrix-7777, plain, ( ( c_List_OdropWhile(_u19161, _u19163, _u19165) != hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19167), _u19169)) | ( _u19165 = hAPP(hAPP(c_List_Oappend(_u19161), c_List_OtakeWhile(_u19161, _u19163, _u19165)), hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19167), _u19169))) )).
% 43.40/43.65 cnf(matrix-7778, plain, ( ( c_List_OdropWhile(_u19161, _u19163, _u19165) != hAPP(hAPP(c_List_Olist_OCons(_u19161), _u19167), _u19169)) | ~hBOOL(hAPP(_u19163, _u19167)) )).
% 43.40/43.65 cnf(matrix-7779, plain, ( ( _u19166 != hAPP(hAPP(c_List_Oappend(_u19162), c_List_OtakeWhile(_u19162, _u19164, _u19166)), hAPP(hAPP(c_List_Olist_OCons(_u19162), _u19168), _u19170))) | hBOOL(hAPP(_u19164, _u19168)) | ( c_List_OdropWhile(_u19162, _u19164, _u19166) = hAPP(hAPP(c_List_Olist_OCons(_u19162), _u19168), _u19170)) )).
% 43.40/43.65 cnf(matrix-7780, plain, ( ( c_List_OdropWhile(_u19171, _u19172, _u19173) = hAPP(hAPP(c_List_Odrop(_u19171), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19171)), c_List_OtakeWhile(_u19171, _u19172, _u19173))), _u19173)) )).
% 43.40/43.65 cnf(matrix-7781, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19174), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19175)), c_List_OdropWhile(_u19175, _u19176, _u19177)))) | ( hAPP(hAPP(c_List_Onth(_u19175), c_List_OdropWhile(_u19175, _u19176, _u19177)), _u19174) = hAPP(hAPP(c_List_Onth(_u19175), _u19177), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19174), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19175)), c_List_OtakeWhile(_u19175, _u19176, _u19177))))) )).
% 43.40/43.65 cnf(matrix-7782, plain, ( ~class_Groups_Omonoid__add(_u19179) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), hAPP(c_List_Ofilter(_u19180, _u19182), _u19181))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), _u19181))) | hBOOL(hAPP(hAPP(c_member(_u19180), skolem481(_u19183, _u19182, _u19181, _u19180, _u19179)), hAPP(c_List_Oset(_u19180), _u19181))) )).
% 43.40/43.65 cnf(matrix-7783, plain, ( ~class_Groups_Omonoid__add(_u19179) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), hAPP(c_List_Ofilter(_u19180, _u19182), _u19181))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), _u19181))) | ~hBOOL(hAPP(_u19182, skolem481(_u19183, _u19182, _u19181, _u19180, _u19179))) )).
% 43.40/43.65 cnf(matrix-7784, plain, ( ~class_Groups_Omonoid__add(_u19179) | ( hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), hAPP(c_List_Ofilter(_u19180, _u19182), _u19181))) = hAPP(c_List_Omonoid__add__class_Olistsum(_u19179), hAPP(hAPP(c_List_Omap(_u19180, _u19179), _u19183), _u19181))) | ( hAPP(_u19183, skolem481(_u19183, _u19182, _u19181, _u19180, _u19179)) != c_Groups_Ozero__class_Ozero(_u19179)) )).
% 43.40/43.65 cnf(matrix-7785, plain, ( ~class_Orderings_Olinorder(_u19186) | c_List_Olinorder__class_Osorted(_u19186, _u19187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), skolem482(_u19187, _u19186)), skolem483(_u19187, _u19186))) )).
% 43.40/43.65 cnf(matrix-7786, plain, ( ~class_Orderings_Olinorder(_u19186) | c_List_Olinorder__class_Osorted(_u19186, _u19187) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem483(_u19187, _u19186)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19186)), _u19187))) )).
% 43.40/43.65 cnf(matrix-7787, plain, ( ~class_Orderings_Olinorder(_u19186) | c_List_Olinorder__class_Osorted(_u19186, _u19187) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19186), hAPP(hAPP(c_List_Onth(_u19186), _u19187), skolem482(_u19187, _u19186))), hAPP(hAPP(c_List_Onth(_u19186), _u19187), skolem483(_u19187, _u19186)))) )).
% 43.40/43.65 cnf(matrix-7788, plain, ( ( c_List_OtakeWhile(_u19189, _u19190, _u19191) = hAPP(c_List_Ofilter(_u19189, _u19190), _u19191)) | hBOOL(hAPP(hAPP(c_member(_u19189), skolem484(_u19191, _u19190, _u19189)), hAPP(c_List_Oset(_u19189), c_List_OdropWhile(_u19189, _u19190, _u19191)))) )).
% 43.40/43.65 cnf(matrix-7789, plain, ( ( c_List_OtakeWhile(_u19189, _u19190, _u19191) = hAPP(c_List_Ofilter(_u19189, _u19190), _u19191)) | hBOOL(hAPP(_u19190, skolem484(_u19191, _u19190, _u19189))) )).
% 43.40/43.65 cnf(matrix-7790, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u19196, _u19195, _u19194, _u19193)), _u19193)) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) )).
% 43.40/43.65 cnf(matrix-7791, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u19196, _u19195, _u19194, _u19193)), _u19193)) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), _u19193))) )).
% 43.40/43.65 cnf(matrix-7792, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u19196, _u19195, _u19194, _u19193)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) )).
% 43.40/43.65 cnf(matrix-7793, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem485(_u19196, _u19195, _u19194, _u19193)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), _u19193))) )).
% 43.40/43.65 cnf(matrix-7794, plain, ( ~hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), skolem485(_u19196, _u19195, _u19194, _u19193)))) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19193), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19194)), _u19195))) )).
% 43.40/43.65 cnf(matrix-7795, plain, ( ~hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), skolem485(_u19196, _u19195, _u19194, _u19193)))) | ( c_List_OtakeWhile(_u19194, _u19196, _u19195) = hAPP(hAPP(c_List_Otake(_u19194), _u19193), _u19195)) | hBOOL(hAPP(_u19196, hAPP(hAPP(c_List_Onth(_u19194), _u19195), _u19193))) )).
% 43.40/43.65 cnf(matrix-7796, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19200)), _u19201))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19200)), c_List_OtakeWhile(_u19200, _u19199, _u19201)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem486(_u19201, _u19200, _u19199, _u19198)), _u19198)) )).
% 43.40/43.65 cnf(matrix-7797, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19200)), _u19201))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), _u19198), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19200)), c_List_OtakeWhile(_u19200, _u19199, _u19201)))) | ~hBOOL(hAPP(_u19199, hAPP(hAPP(c_List_Onth(_u19200), _u19201), skolem486(_u19201, _u19200, _u19199, _u19198)))) )).
% 43.40/43.65 cnf(matrix-7798, plain, ( ~class_Orderings_Olinorder(_u19208) | ~c_List_Olinorder__class_Osorted(_u19208, _u19209) | ( _u19209 = c_List_Olist_ONil(_u19208)) | c_List_Olinorder__class_Osorted(_u19208, skolem487(_u19209, _u19208)) )).
% 43.40/43.65 cnf(matrix-7799, plain, ( ~class_Orderings_Olinorder(_u19208) | ~c_List_Olinorder__class_Osorted(_u19208, _u19209) | ( _u19209 = c_List_Olist_ONil(_u19208)) | ( _u19209 = hAPP(hAPP(c_List_Olist_OCons(_u19208), skolem488(_u19209, _u19208)), skolem487(_u19209, _u19208))) )).
% 43.40/43.65 cnf(matrix-7800, plain, ( ~class_Orderings_Olinorder(_u19208) | ~c_List_Olinorder__class_Osorted(_u19208, _u19209) | ( _u19209 = c_List_Olist_ONil(_u19208)) | ~hBOOL(hAPP(hAPP(c_member(_u19208), _u19202), hAPP(c_List_Oset(_u19208), skolem487(_u19209, _u19208)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19208), skolem488(_u19209, _u19208)), _u19202)) )).
% 43.40/43.65 cnf(matrix-7801, plain, ( ~class_Orderings_Olinorder(_u19208) | c_List_Olinorder__class_Osorted(_u19208, _u19209) | ( _u19209 != c_List_Olist_ONil(_u19208)) )).
% 43.40/43.65 cnf(matrix-7802, plain, ( ~class_Orderings_Olinorder(_u19208) | c_List_Olinorder__class_Osorted(_u19208, _u19209) | ~c_List_Olinorder__class_Osorted(_u19208, _u19207) | ( _u19209 != hAPP(hAPP(c_List_Olist_OCons(_u19208), _u19206), _u19207)) | hBOOL(hAPP(hAPP(c_member(_u19208), skolem489(_u19209, _u19208, _u19207, _u19206)), hAPP(c_List_Oset(_u19208), _u19207))) )).
% 43.40/43.65 cnf(matrix-7803, plain, ( ~class_Orderings_Olinorder(_u19208) | c_List_Olinorder__class_Osorted(_u19208, _u19209) | ~c_List_Olinorder__class_Osorted(_u19208, _u19207) | ( _u19209 != hAPP(hAPP(c_List_Olist_OCons(_u19208), _u19206), _u19207)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19208), _u19206), skolem489(_u19209, _u19208, _u19207, _u19206))) )).
% 43.40/43.65 cnf(matrix-7804, plain, ( ~c_Fun_Oinj__on(_u19210, _u19211, _u19212, hAPP(hAPP(c_Set_Oinsert(_u19210), _u19213), hAPP(c_List_Oset(_u19210), _u19214))) | ( hAPP(hAPP(c_List_Omap(_u19210, _u19211), _u19212), hAPP(c_List_OremoveAll(_u19210, _u19213), _u19214)) = hAPP(c_List_OremoveAll(_u19211, hAPP(_u19212, _u19213)), hAPP(hAPP(c_List_Omap(_u19210, _u19211), _u19212), _u19214))) )).
% 43.40/43.65 cnf(matrix-7805, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19218), _u19220), hAPP(c_List_Oset(_u19218), _u19222))) | ( c_List_Oinsert(_u19218, _u19220, _u19222) = _u19222) )).
% 43.40/43.65 cnf(matrix-7806, plain, ( hBOOL(hAPP(hAPP(c_member(_u19219), _u19221), hAPP(c_List_Oset(_u19219), _u19223))) | ( c_List_Oinsert(_u19219, _u19221, _u19223) = hAPP(hAPP(c_List_Olist_OCons(_u19219), _u19221), _u19223)) )).
% 43.40/43.65 cnf(matrix-7807, plain, ( ( hAPP(c_List_OremoveAll(_u19224, _u19225), hAPP(hAPP(c_List_Oappend(_u19224), _u19226), _u19227)) = hAPP(hAPP(c_List_Oappend(_u19224), hAPP(c_List_OremoveAll(_u19224, _u19225), _u19226)), hAPP(c_List_OremoveAll(_u19224, _u19225), _u19227))) )).
% 43.40/43.65 cnf(matrix-7808, plain, ( hBOOL(hAPP(hAPP(c_member(_u19228), _u19229), hAPP(c_List_Oset(_u19228), _u19230))) | ( hAPP(c_List_OremoveAll(_u19228, _u19229), _u19230) = _u19230) )).
% 43.40/43.65 cnf(matrix-7809, plain, ( ( c_List_Oinsert(_u19231, _u19232, c_List_Oremdups(_u19231, _u19233)) = c_List_Oremdups(_u19231, c_List_Oinsert(_u19231, _u19232, _u19233))) )).
% 43.40/43.65 cnf(matrix-7810, plain, ( hBOOL(hAPP(_u19234, _u19235)) | ( hAPP(c_List_OremoveAll(_u19236, _u19235), hAPP(c_List_Ofilter(_u19236, _u19234), _u19237)) = hAPP(c_List_Ofilter(_u19236, _u19234), _u19237)) )).
% 43.40/43.65 cnf(matrix-7811, plain, ( ( c_List_OremoveAll(_u19238, _u19239) = c_List_Ofilter(_u19238, hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19238), c_fNot), hAPP(c_fequal, _u19239)))) )).
% 43.40/43.65 cnf(matrix-7812, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19240), _u19241)) | hBOOL(hAPP(c_List_Odistinct(_u19240), c_List_Oinsert(_u19240, _u19242, _u19241))) )).
% 43.40/43.65 cnf(matrix-7813, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19243), _u19244)) | hBOOL(hAPP(c_List_Odistinct(_u19243), hAPP(c_List_OremoveAll(_u19243, _u19245), _u19244))) )).
% 43.40/43.65 cnf(matrix-7814, plain, ( ( _u19250 != _u19252) | ( hAPP(c_List_OremoveAll(_u19254, _u19250), hAPP(hAPP(c_List_Olist_OCons(_u19254), _u19252), _u19256)) = hAPP(c_List_OremoveAll(_u19254, _u19250), _u19256)) )).
% 43.40/43.65 cnf(matrix-7815, plain, ( ( _u19251 = _u19253) | ( hAPP(c_List_OremoveAll(_u19255, _u19251), hAPP(hAPP(c_List_Olist_OCons(_u19255), _u19253), _u19257)) = hAPP(hAPP(c_List_Olist_OCons(_u19255), _u19253), hAPP(c_List_OremoveAll(_u19255, _u19251), _u19257))) )).
% 43.40/43.65 cnf(matrix-7816, plain, ( ( hAPP(c_List_OremoveAll(_u19258, _u19259), c_List_Olist_ONil(_u19258)) = c_List_Olist_ONil(_u19258)) )).
% 43.40/43.65 cnf(matrix-7817, plain, ( ~hBOOL(hAPP(c_List_Odistinct(_u19260), _u19261)) | ( c_List_Oremove1(_u19260, _u19262, _u19261) = hAPP(c_List_OremoveAll(_u19260, _u19262), _u19261)) )).
% 43.40/43.65 cnf(matrix-7818, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19263), _u19264), hAPP(c_List_Oset(_u19263), _u19265))) | ( c_List_Oinsert(_u19263, _u19264, _u19265) = _u19265) )).
% 43.40/43.65 cnf(matrix-7819, plain, ( ( hAPP(c_List_Oset(_u19266), c_List_Oinsert(_u19266, _u19267, _u19268)) = hAPP(hAPP(c_Set_Oinsert(_u19266), _u19267), hAPP(c_List_Oset(_u19266), _u19268))) )).
% 43.40/43.65 cnf(matrix-7820, plain, ( ( c_List_Oinsert(_u19269, _u19270, c_List_Olist_ONil(_u19269)) = hAPP(hAPP(c_List_Olist_OCons(_u19269), _u19270), c_List_Olist_ONil(_u19269))) )).
% 43.40/43.65 cnf(matrix-7821, plain, ( ~c_Fun_Oinj__on(_u19271, _u19272, _u19273, c_Orderings_Otop__class_Otop(tc_fun(_u19271, tc_HOL_Obool))) | ( hAPP(hAPP(c_List_Omap(_u19271, _u19272), _u19273), hAPP(c_List_OremoveAll(_u19271, _u19274), _u19275)) = hAPP(c_List_OremoveAll(_u19272, hAPP(_u19273, _u19274)), hAPP(hAPP(c_List_Omap(_u19271, _u19272), _u19273), _u19275))) )).
% 43.40/43.65 cnf(matrix-7822, plain, ( ( hAPP(c_List_Oset(_u19276), hAPP(c_List_OremoveAll(_u19276, _u19277), _u19278)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(_u19276, tc_HOL_Obool)), hAPP(c_List_Oset(_u19276), _u19278)), hAPP(hAPP(c_Set_Oinsert(_u19276), _u19277), c_Orderings_Obot__class_Obot(tc_fun(_u19276, tc_HOL_Obool))))) )).
% 43.40/43.65 cnf(matrix-7823, plain, ( hBOOL(hAPP(hAPP(c_member(_u19279), _u19280), hAPP(c_List_Oset(_u19279), _u19281))) | ( c_List_Oinsert(_u19279, _u19280, _u19281) = hAPP(hAPP(c_List_Olist_OCons(_u19279), _u19280), _u19281)) )).
% 43.40/43.65 cnf(matrix-7824, plain, ( ( c_List_Omaps(_u19282, _u19283, _u19284, _u19285) = c_List_Oconcat(_u19283, hAPP(hAPP(c_List_Omap(_u19282, tc_List_Olist(_u19283)), _u19284), _u19285))) )).
% 43.40/43.65 cnf(matrix-7825, plain, ( ( c_List_Oconcat(_u19286, hAPP(hAPP(c_List_Omap(_u19287, tc_List_Olist(_u19286)), _u19288), _u19289)) = c_List_Omaps(_u19287, _u19286, _u19288, _u19289)) )).
% 43.40/43.65 cnf(matrix-7826, plain, ( ( c_List_Omaps(_u19290, _u19291, _u19292, c_List_Olist_ONil(_u19290)) = c_List_Olist_ONil(_u19291)) )).
% 43.40/43.65 cnf(matrix-7827, plain, ( ( c_List_Omaps(_u19293, _u19294, _u19295, hAPP(hAPP(c_List_Olist_OCons(_u19293), _u19296), _u19297)) = hAPP(hAPP(c_List_Oappend(_u19294), hAPP(_u19295, _u19296)), c_List_Omaps(_u19293, _u19294, _u19295, _u19297))) )).
% 43.40/43.65 cnf(matrix-7828, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem490(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem491(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) )).
% 43.40/43.65 cnf(matrix-7829, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem490(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem492(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) )).
% 43.40/43.65 cnf(matrix-7830, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem490(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | ( skolem491(_u19302, _u19301) != skolem492(_u19302, _u19301)) )).
% 43.40/43.65 cnf(matrix-7831, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem490(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19301, tc_HOL_Obool)), hAPP(c_List_Oset(_u19301), skolem491(_u19302, _u19301))), hAPP(c_List_Oset(_u19301), skolem492(_u19302, _u19301))) != c_Orderings_Obot__class_Obot(tc_fun(_u19301, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-7832, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | ~hBOOL(hAPP(c_List_Odistinct(_u19301), skolem490(_u19302, _u19301))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem491(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) )).
% 43.40/43.65 cnf(matrix-7833, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | ~hBOOL(hAPP(c_List_Odistinct(_u19301), skolem490(_u19302, _u19301))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u19301)), skolem492(_u19302, _u19301)), hAPP(c_List_Oset(tc_List_Olist(_u19301)), _u19302))) )).
% 43.40/43.65 cnf(matrix-7834, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | ~hBOOL(hAPP(c_List_Odistinct(_u19301), skolem490(_u19302, _u19301))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | ( skolem491(_u19302, _u19301) != skolem492(_u19302, _u19301)) )).
% 43.40/43.65 cnf(matrix-7835, plain, ( ~hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(_u19301)), _u19302)) | ~hBOOL(hAPP(c_List_Odistinct(_u19301), skolem490(_u19302, _u19301))) | hBOOL(hAPP(c_List_Odistinct(_u19301), c_List_Oconcat(_u19301, _u19302))) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19301, tc_HOL_Obool)), hAPP(c_List_Oset(_u19301), skolem491(_u19302, _u19301))), hAPP(c_List_Oset(_u19301), skolem492(_u19302, _u19301))) != c_Orderings_Obot__class_Obot(tc_fun(_u19301, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-7836, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat), hAPP(_u19303, _u19304)), hAPP(_u19303, _u19305))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19306, _u19306)), hAPP(hAPP(c_Product__Type_OPair(_u19306, _u19306), _u19304), _u19305)), c_List_Omeasures(_u19306, _u19307))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19306, _u19306)), hAPP(hAPP(c_Product__Type_OPair(_u19306, _u19306), _u19304), _u19305)), c_List_Omeasures(_u19306, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19306, tc_Nat_Onat)), _u19303), _u19307)))) )).
% 43.40/43.65 cnf(matrix-7837, plain, ( c_Wellfounded_Owf(_u19308, c_List_Omeasures(_u19308, _u19309)) )).
% 43.40/43.65 cnf(matrix-7838, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19310, _u19310)), hAPP(hAPP(c_Product__Type_OPair(_u19310, _u19310), _u19311), _u19312)), c_List_Omeasures(_u19310, c_List_Olist_ONil(tc_fun(_u19310, tc_Nat_Onat))))) )).
% 43.40/43.65 cnf(matrix-7839, plain, ( ( c_List_Omeasures(_u19313, _u19314) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat), _u19313), c_List_Olex(tc_Nat_Onat, c_Wellfounded_Oless__than)), hAPP(hAPP(c_COMBC(_u19313, tc_List_Olist(tc_fun(_u19313, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u19313, tc_Nat_Onat), tc_Nat_Onat), tc_fun(tc_List_Olist(tc_fun(_u19313, tc_Nat_Onat)), tc_List_Olist(tc_Nat_Onat)), _u19313), c_List_Omap(tc_fun(_u19313, tc_Nat_Onat), tc_Nat_Onat)), hAPP(c_COMBC(tc_fun(_u19313, tc_Nat_Onat), _u19313, tc_Nat_Onat), c_COMBI(tc_fun(_u19313, tc_Nat_Onat))))), _u19314))) )).
% 43.40/43.65 cnf(matrix-7840, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19320, _u19320)), hAPP(hAPP(c_Product__Type_OPair(_u19320, _u19320), _u19322), _u19324)), c_List_Omeasures(_u19320, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19320, tc_Nat_Onat)), _u19326), _u19328)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19326, _u19322)), hAPP(_u19326, _u19324))) | ( hAPP(_u19326, _u19322) = hAPP(_u19326, _u19324)) )).
% 43.40/43.65 cnf(matrix-7841, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19320, _u19320)), hAPP(hAPP(c_Product__Type_OPair(_u19320, _u19320), _u19322), _u19324)), c_List_Omeasures(_u19320, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19320, tc_Nat_Onat)), _u19326), _u19328)))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19326, _u19322)), hAPP(_u19326, _u19324))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19320, _u19320)), hAPP(hAPP(c_Product__Type_OPair(_u19320, _u19320), _u19322), _u19324)), c_List_Omeasures(_u19320, _u19328))) )).
% 43.40/43.65 cnf(matrix-7842, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19321, _u19321)), hAPP(hAPP(c_Product__Type_OPair(_u19321, _u19321), _u19323), _u19325)), c_List_Omeasures(_u19321, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19321, tc_Nat_Onat)), _u19327), _u19329)))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19327, _u19323)), hAPP(_u19327, _u19325))) )).
% 43.40/43.65 cnf(matrix-7843, plain, ( hBOOL(hAPP(hAPP(c_member(tc_prod(_u19321, _u19321)), hAPP(hAPP(c_Product__Type_OPair(_u19321, _u19321), _u19323), _u19325)), c_List_Omeasures(_u19321, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19321, tc_Nat_Onat)), _u19327), _u19329)))) | ( hAPP(_u19327, _u19323) != hAPP(_u19327, _u19325)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19321, _u19321)), hAPP(hAPP(c_Product__Type_OPair(_u19321, _u19321), _u19323), _u19325)), c_List_Omeasures(_u19321, _u19329))) )).
% 43.40/43.65 cnf(matrix-7844, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(_u19330, _u19331)), hAPP(_u19330, _u19332))) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19333, _u19333)), hAPP(hAPP(c_Product__Type_OPair(_u19333, _u19333), _u19331), _u19332)), c_List_Omeasures(_u19333, hAPP(hAPP(c_List_Olist_OCons(tc_fun(_u19333, tc_Nat_Onat)), _u19330), _u19334)))) )).
% 43.40/43.65 cnf(matrix-7845, plain, ( ( hAPP(c_List_Ofoldl(_u19338, _u19336, hAPP(c_COMBC(_u19336, _u19338, _u19338), _u19340), hAPP(_u19341, _u19343)), _u19337) = hAPP(_u19341, hAPP(c_List_Ofoldl(_u19339, _u19336, hAPP(c_COMBC(_u19336, _u19339, _u19339), _u19342), _u19343), _u19337))) | hBOOL(hAPP(hAPP(c_member(_u19336), skolem493(_u19343, _u19342, _u19341, _u19340, _u19339, _u19338, _u19337, _u19336)), hAPP(c_List_Oset(_u19336), _u19337))) )).
% 43.40/43.65 cnf(matrix-7846, plain, ( ( hAPP(c_List_Ofoldl(_u19338, _u19336, hAPP(c_COMBC(_u19336, _u19338, _u19338), _u19340), hAPP(_u19341, _u19343)), _u19337) = hAPP(_u19341, hAPP(c_List_Ofoldl(_u19339, _u19336, hAPP(c_COMBC(_u19336, _u19339, _u19339), _u19342), _u19343), _u19337))) | ( hAPP(c_Fun_Ocomp(_u19338, _u19338, _u19339, hAPP(_u19340, skolem493(_u19343, _u19342, _u19341, _u19340, _u19339, _u19338, _u19337, _u19336))), _u19341) != hAPP(c_Fun_Ocomp(_u19339, _u19338, _u19339, _u19341), hAPP(_u19342, skolem493(_u19343, _u19342, _u19341, _u19340, _u19339, _u19338, _u19337, _u19336)))) )).
% 43.40/43.65 cnf(matrix-7847, plain, ( hBOOL(hAPP(_u19348, hAPP(hAPP(c_List_Ozip(_u19344, _u19346), _u19345), _u19347))) | ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), hAPP(hAPP(c_List_Otake(_u19344), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), _u19345)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), _u19347))), _u19345)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), hAPP(hAPP(c_List_Otake(_u19346), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), _u19345)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), _u19347))), _u19347))) )).
% 43.40/43.65 cnf(matrix-7848, plain, ( hBOOL(hAPP(_u19348, hAPP(hAPP(c_List_Ozip(_u19344, _u19346), _u19345), _u19347))) | ~hBOOL(hAPP(_u19348, hAPP(hAPP(c_List_Ozip(_u19344, _u19346), hAPP(hAPP(c_List_Otake(_u19344), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), _u19345)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), _u19347))), _u19345)), hAPP(hAPP(c_List_Otake(_u19346), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19344)), _u19345)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19346)), _u19347))), _u19347)))) )).
% 43.40/43.65 cnf(matrix-7849, plain, ( ( c_New__Random__Sequence_Opos__not__random__dseq(_u19349, _u19350, _u19351, _u19352) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(_u19349, _u19350), _u19351), _u19352))) )).
% 43.40/43.65 cnf(matrix-7850, plain, ( ( c_List_OdropWhile(_u19354, _u19356, hAPP(hAPP(c_List_Oappend(_u19354), _u19355), _u19357)) = c_List_OdropWhile(_u19354, _u19356, _u19357)) | hBOOL(hAPP(hAPP(c_member(_u19354), skolem494(_u19357, _u19356, _u19355, _u19354)), hAPP(c_List_Oset(_u19354), _u19355))) )).
% 43.40/43.65 cnf(matrix-7851, plain, ( ( c_List_OdropWhile(_u19354, _u19356, hAPP(hAPP(c_List_Oappend(_u19354), _u19355), _u19357)) = c_List_OdropWhile(_u19354, _u19356, _u19357)) | ~hBOOL(hAPP(_u19356, skolem494(_u19357, _u19356, _u19355, _u19354))) )).
% 43.40/43.65 cnf(matrix-7852, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19359)), _u19360) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19361)), _u19362)) | c_List_Olist__all2(_u19359, _u19361, _u19363, _u19360, _u19362) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem495(_u19363, _u19362, _u19361, _u19360, _u19359)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19359)), _u19360))) )).
% 43.40/43.65 cnf(matrix-7853, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19359)), _u19360) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19361)), _u19362)) | c_List_Olist__all2(_u19359, _u19361, _u19363, _u19360, _u19362) | ~hBOOL(hAPP(hAPP(_u19363, hAPP(hAPP(c_List_Onth(_u19359), _u19360), skolem495(_u19363, _u19362, _u19361, _u19360, _u19359))), hAPP(hAPP(c_List_Onth(_u19361), _u19362), skolem495(_u19363, _u19362, _u19361, _u19360, _u19359)))) )).
% 43.40/43.65 cnf(matrix-7854, plain, ( ~class_Orderings_Olinorder(_u19366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19366), _u19367)) | ( hAPP(c_List_Oset(_u19366), skolem496(_u19367, _u19366)) = _u19367) )).
% 43.40/43.65 cnf(matrix-7855, plain, ( ~class_Orderings_Olinorder(_u19366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19366), _u19367)) | c_List_Olinorder__class_Osorted(_u19366, skolem496(_u19367, _u19366)) )).
% 43.40/43.65 cnf(matrix-7856, plain, ( ~class_Orderings_Olinorder(_u19366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19366), _u19367)) | hBOOL(hAPP(c_List_Odistinct(_u19366), skolem496(_u19367, _u19366))) )).
% 43.40/43.65 cnf(matrix-7857, plain, ( ~class_Orderings_Olinorder(_u19366) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19366), _u19367)) | ( hAPP(c_List_Oset(_u19366), _u19364) != _u19367) | ~c_List_Olinorder__class_Osorted(_u19366, _u19364) | ~hBOOL(hAPP(c_List_Odistinct(_u19366), _u19364)) | ( _u19364 = skolem496(_u19367, _u19366)) )).
% 43.40/43.65 cnf(matrix-7858, plain, ( ( c_List_OtakeWhile(_u19369, _u19371, hAPP(hAPP(c_List_Oappend(_u19369), _u19370), _u19372)) = hAPP(hAPP(c_List_Oappend(_u19369), _u19370), c_List_OtakeWhile(_u19369, _u19371, _u19372))) | hBOOL(hAPP(hAPP(c_member(_u19369), skolem497(_u19372, _u19371, _u19370, _u19369)), hAPP(c_List_Oset(_u19369), _u19370))) )).
% 43.40/43.65 cnf(matrix-7859, plain, ( ( c_List_OtakeWhile(_u19369, _u19371, hAPP(hAPP(c_List_Oappend(_u19369), _u19370), _u19372)) = hAPP(hAPP(c_List_Oappend(_u19369), _u19370), c_List_OtakeWhile(_u19369, _u19371, _u19372))) | ~hBOOL(hAPP(_u19371, skolem497(_u19372, _u19371, _u19370, _u19369))) )).
% 43.40/43.65 cnf(matrix-7860, plain, ( ~class_Orderings_Olinorder(_u19374) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19375, _u19374, _u19377), _u19378), _u19376) = hAPP(hAPP(c_List_Olist_OCons(_u19375), _u19378), _u19376)) | hBOOL(hAPP(hAPP(c_member(_u19375), skolem498(_u19378, _u19377, _u19376, _u19375, _u19374)), hAPP(c_List_Oset(_u19375), _u19376))) )).
% 43.40/43.65 cnf(matrix-7861, plain, ( ~class_Orderings_Olinorder(_u19374) | ( hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(_u19375, _u19374, _u19377), _u19378), _u19376) = hAPP(hAPP(c_List_Olist_OCons(_u19375), _u19378), _u19376)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19374), hAPP(_u19377, _u19378)), hAPP(_u19377, skolem498(_u19378, _u19377, _u19376, _u19375, _u19374)))) )).
% 43.40/43.65 cnf(matrix-7862, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394) != hAPP(c_List_Ofilter(_u19390, _u19396), _u19398)) | hBOOL(hAPP(_u19396, _u19392)) )).
% 43.40/43.65 cnf(matrix-7863, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394) != hAPP(c_List_Ofilter(_u19390, _u19396), _u19398)) | ~hBOOL(hAPP(hAPP(c_member(_u19390), _u19379), hAPP(c_List_Oset(_u19390), skolem499(_u19398, _u19396, _u19394, _u19392, _u19390)))) | ~hBOOL(hAPP(_u19396, _u19379)) )).
% 43.40/43.65 cnf(matrix-7864, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394) != hAPP(c_List_Ofilter(_u19390, _u19396), _u19398)) | ( _u19398 = hAPP(hAPP(c_List_Oappend(_u19390), skolem499(_u19398, _u19396, _u19394, _u19392, _u19390)), hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), skolem500(_u19398, _u19396, _u19394, _u19392, _u19390)))) )).
% 43.40/43.65 cnf(matrix-7865, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19390), _u19392), _u19394) != hAPP(c_List_Ofilter(_u19390, _u19396), _u19398)) | ( _u19394 = hAPP(c_List_Ofilter(_u19390, _u19396), skolem500(_u19398, _u19396, _u19394, _u19392, _u19390))) )).
% 43.40/43.65 cnf(matrix-7866, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19395) = hAPP(c_List_Ofilter(_u19391, _u19397), _u19399)) | ~hBOOL(hAPP(_u19397, _u19393)) | ( _u19399 != hAPP(hAPP(c_List_Oappend(_u19391), _u19384), hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19383))) | ( _u19395 != hAPP(c_List_Ofilter(_u19391, _u19397), _u19383)) | hBOOL(hAPP(hAPP(c_member(_u19391), skolem501(_u19399, _u19397, _u19395, _u19393, _u19391, _u19384)), hAPP(c_List_Oset(_u19391), _u19384))) )).
% 43.40/43.65 cnf(matrix-7867, plain, ( ( hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19395) = hAPP(c_List_Ofilter(_u19391, _u19397), _u19399)) | ~hBOOL(hAPP(_u19397, _u19393)) | ( _u19399 != hAPP(hAPP(c_List_Oappend(_u19391), _u19384), hAPP(hAPP(c_List_Olist_OCons(_u19391), _u19393), _u19383))) | ( _u19395 != hAPP(c_List_Ofilter(_u19391, _u19397), _u19383)) | hBOOL(hAPP(_u19397, skolem501(_u19399, _u19397, _u19395, _u19393, _u19391, _u19384))) )).
% 43.40/43.65 cnf(matrix-7868, plain, ( ( hAPP(c_List_Ofilter(_u19411, _u19413), _u19415) != hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), _u19419)) | hBOOL(hAPP(_u19413, _u19417)) )).
% 43.40/43.65 cnf(matrix-7869, plain, ( ( hAPP(c_List_Ofilter(_u19411, _u19413), _u19415) != hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), _u19419)) | ~hBOOL(hAPP(hAPP(c_member(_u19411), _u19400), hAPP(c_List_Oset(_u19411), skolem502(_u19419, _u19417, _u19415, _u19413, _u19411)))) | ~hBOOL(hAPP(_u19413, _u19400)) )).
% 43.40/43.65 cnf(matrix-7870, plain, ( ( hAPP(c_List_Ofilter(_u19411, _u19413), _u19415) != hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), _u19419)) | ( _u19415 = hAPP(hAPP(c_List_Oappend(_u19411), skolem502(_u19419, _u19417, _u19415, _u19413, _u19411)), hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), skolem503(_u19419, _u19417, _u19415, _u19413, _u19411)))) )).
% 43.40/43.65 cnf(matrix-7871, plain, ( ( hAPP(c_List_Ofilter(_u19411, _u19413), _u19415) != hAPP(hAPP(c_List_Olist_OCons(_u19411), _u19417), _u19419)) | ( _u19419 = hAPP(c_List_Ofilter(_u19411, _u19413), skolem503(_u19419, _u19417, _u19415, _u19413, _u19411))) )).
% 43.40/43.65 cnf(matrix-7872, plain, ( ( hAPP(c_List_Ofilter(_u19412, _u19414), _u19416) = hAPP(hAPP(c_List_Olist_OCons(_u19412), _u19418), _u19420)) | ~hBOOL(hAPP(_u19414, _u19418)) | ( _u19416 != hAPP(hAPP(c_List_Oappend(_u19412), _u19405), hAPP(hAPP(c_List_Olist_OCons(_u19412), _u19418), _u19404))) | ( _u19420 != hAPP(c_List_Ofilter(_u19412, _u19414), _u19404)) | hBOOL(hAPP(hAPP(c_member(_u19412), skolem504(_u19420, _u19418, _u19416, _u19414, _u19412, _u19405)), hAPP(c_List_Oset(_u19412), _u19405))) )).
% 43.40/43.65 cnf(matrix-7873, plain, ( ( hAPP(c_List_Ofilter(_u19412, _u19414), _u19416) = hAPP(hAPP(c_List_Olist_OCons(_u19412), _u19418), _u19420)) | ~hBOOL(hAPP(_u19414, _u19418)) | ( _u19416 != hAPP(hAPP(c_List_Oappend(_u19412), _u19405), hAPP(hAPP(c_List_Olist_OCons(_u19412), _u19418), _u19404))) | ( _u19420 != hAPP(c_List_Ofilter(_u19412, _u19414), _u19404)) | hBOOL(hAPP(_u19414, skolem504(_u19420, _u19418, _u19416, _u19414, _u19412, _u19405))) )).
% 43.40/43.65 cnf(matrix-7874, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19423)), _u19424))) | hBOOL(hAPP(_u19425, hAPP(hAPP(c_List_Onth(_u19423), _u19424), _u19422))) | hBOOL(hAPP(hAPP(c_member(_u19423), skolem505(_u19425, _u19424, _u19423, _u19422)), hAPP(c_List_Oset(_u19423), _u19424))) )).
% 43.40/43.65 cnf(matrix-7875, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19422), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19423)), _u19424))) | hBOOL(hAPP(_u19425, hAPP(hAPP(c_List_Onth(_u19423), _u19424), _u19422))) | ~hBOOL(hAPP(_u19425, skolem505(_u19425, _u19424, _u19423, _u19422))) )).
% 43.40/43.65 cnf(matrix-7876, plain, ( ~class_Orderings_Olinorder(_u19427) | ~c_List_Olinorder__class_Osorted(_u19427, _u19428) | c_List_Olinorder__class_Osorted(_u19427, hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19429), _u19428)) | hBOOL(hAPP(hAPP(c_member(_u19427), skolem506(_u19429, _u19428, _u19427)), hAPP(c_List_Oset(_u19427), _u19428))) )).
% 43.40/43.65 cnf(matrix-7877, plain, ( ~class_Orderings_Olinorder(_u19427) | ~c_List_Olinorder__class_Osorted(_u19427, _u19428) | c_List_Olinorder__class_Osorted(_u19427, hAPP(hAPP(c_List_Olist_OCons(_u19427), _u19429), _u19428)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u19427), _u19429), skolem506(_u19429, _u19428, _u19427))) )).
% 43.40/43.65 cnf(matrix-7878, plain, ( ~c_List_Olist__ex(_u19435, _u19437, _u19439) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem507(_u19439, _u19437, _u19435)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19435)), _u19439))) )).
% 43.40/43.65 cnf(matrix-7879, plain, ( ~c_List_Olist__ex(_u19435, _u19437, _u19439) | hBOOL(hAPP(_u19437, hAPP(hAPP(c_List_Onth(_u19435), _u19439), skolem507(_u19439, _u19437, _u19435)))) )).
% 43.40/43.65 cnf(matrix-7880, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19431), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19436)), _u19440))) | ~hBOOL(hAPP(_u19438, hAPP(hAPP(c_List_Onth(_u19436), _u19440), _u19431))) | c_List_Olist__ex(_u19436, _u19438, _u19440) )).
% 43.40/43.65 cnf(matrix-7881, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19448), _u19450), hAPP(c_List_Oset(_u19448), _u19452))) | ( _u19452 = hAPP(hAPP(c_List_Oappend(_u19448), skolem508(_u19452, _u19450, _u19448)), hAPP(hAPP(c_List_Olist_OCons(_u19448), _u19450), skolem509(_u19452, _u19450, _u19448)))) )).
% 43.40/43.65 cnf(matrix-7882, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19448), _u19450), hAPP(c_List_Oset(_u19448), _u19452))) | ~hBOOL(hAPP(hAPP(c_member(_u19448), _u19450), hAPP(c_List_Oset(_u19448), skolem508(_u19452, _u19450, _u19448)))) )).
% 43.40/43.65 cnf(matrix-7883, plain, ( ( _u19453 != hAPP(hAPP(c_List_Oappend(_u19449), _u19444), hAPP(hAPP(c_List_Olist_OCons(_u19449), _u19451), _u19443))) | hBOOL(hAPP(hAPP(c_member(_u19449), _u19451), hAPP(c_List_Oset(_u19449), _u19444))) | hBOOL(hAPP(hAPP(c_member(_u19449), _u19451), hAPP(c_List_Oset(_u19449), _u19453))) )).
% 43.40/43.65 cnf(matrix-7884, plain, ( ~c_List_Olist__ex(_u19458, _u19460, hAPP(hAPP(c_List_Olist_OCons(_u19458), _u19462), _u19464)) | hBOOL(hAPP(_u19460, _u19462)) | c_List_Olist__ex(_u19458, _u19460, _u19464) )).
% 43.40/43.65 cnf(matrix-7885, plain, ( c_List_Olist__ex(_u19459, _u19461, hAPP(hAPP(c_List_Olist_OCons(_u19459), _u19463), _u19465)) | ~hBOOL(hAPP(_u19461, _u19463)) )).
% 43.40/43.65 cnf(matrix-7886, plain, ( c_List_Olist__ex(_u19459, _u19461, hAPP(hAPP(c_List_Olist_OCons(_u19459), _u19463), _u19465)) | ~c_List_Olist__ex(_u19459, _u19461, _u19465) )).
% 43.40/43.65 cnf(matrix-7887, plain, ( ~c_List_Olist__ex(_u19469, _u19471, hAPP(c_List_Orev(_u19469), _u19473)) | c_List_Olist__ex(_u19469, _u19471, _u19473) )).
% 43.40/43.65 cnf(matrix-7888, plain, ( ~c_List_Olist__ex(_u19470, _u19472, _u19474) | c_List_Olist__ex(_u19470, _u19472, hAPP(c_List_Orev(_u19470), _u19474)) )).
% 43.40/43.65 cnf(matrix-7889, plain, ( ~c_List_Olist__ex(_u19480, _u19482, _u19484) | hBOOL(hAPP(hAPP(c_member(_u19480), skolem510(_u19484, _u19482, _u19480)), hAPP(c_List_Oset(_u19480), _u19484))) )).
% 43.40/43.65 cnf(matrix-7890, plain, ( ~c_List_Olist__ex(_u19480, _u19482, _u19484) | hBOOL(hAPP(_u19482, skolem510(_u19484, _u19482, _u19480))) )).
% 43.40/43.65 cnf(matrix-7891, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19481), _u19476), hAPP(c_List_Oset(_u19481), _u19485))) | ~hBOOL(hAPP(_u19483, _u19476)) | c_List_Olist__ex(_u19481, _u19483, _u19485) )).
% 43.40/43.65 cnf(matrix-7892, plain, ( ~c_List_Olist__ex(_u19490, _u19492, hAPP(hAPP(c_List_Oappend(_u19490), _u19494), _u19496)) | c_List_Olist__ex(_u19490, _u19492, _u19494) | c_List_Olist__ex(_u19490, _u19492, _u19496) )).
% 43.40/43.65 cnf(matrix-7893, plain, ( c_List_Olist__ex(_u19491, _u19493, hAPP(hAPP(c_List_Oappend(_u19491), _u19495), _u19497)) | ~c_List_Olist__ex(_u19491, _u19493, _u19495) )).
% 43.40/43.65 cnf(matrix-7894, plain, ( c_List_Olist__ex(_u19491, _u19493, hAPP(hAPP(c_List_Oappend(_u19491), _u19495), _u19497)) | ~c_List_Olist__ex(_u19491, _u19493, _u19497) )).
% 43.40/43.65 cnf(matrix-7895, plain, ( ~c_List_Olist__ex(_u19498, _u19499, c_List_Olist_ONil(_u19498)) )).
% 43.40/43.65 cnf(matrix-7896, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19507), _u19509), hAPP(c_List_Oset(_u19507), _u19511))) | ( _u19511 = hAPP(hAPP(c_List_Oappend(_u19507), skolem511(_u19511, _u19509, _u19507)), hAPP(hAPP(c_List_Olist_OCons(_u19507), _u19509), skolem512(_u19511, _u19509, _u19507)))) )).
% 43.40/43.65 cnf(matrix-7897, plain, ( ( _u19512 != hAPP(hAPP(c_List_Oappend(_u19508), _u19503), hAPP(hAPP(c_List_Olist_OCons(_u19508), _u19510), _u19502))) | hBOOL(hAPP(hAPP(c_member(_u19508), _u19510), hAPP(c_List_Oset(_u19508), _u19512))) )).
% 43.40/43.65 cnf(matrix-7898, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19522), hAPP(c_List_Oset(_u19520), _u19524))) | ( _u19524 = hAPP(hAPP(c_List_Oappend(_u19520), skolem513(_u19524, _u19522, _u19520)), hAPP(hAPP(c_List_Olist_OCons(_u19520), _u19522), skolem514(_u19524, _u19522, _u19520)))) )).
% 43.40/43.65 cnf(matrix-7899, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19522), hAPP(c_List_Oset(_u19520), _u19524))) | ~hBOOL(hAPP(hAPP(c_member(_u19520), _u19522), hAPP(c_List_Oset(_u19520), skolem514(_u19524, _u19522, _u19520)))) )).
% 43.40/43.65 cnf(matrix-7900, plain, ( ( _u19525 != hAPP(hAPP(c_List_Oappend(_u19521), _u19516), hAPP(hAPP(c_List_Olist_OCons(_u19521), _u19523), _u19515))) | hBOOL(hAPP(hAPP(c_member(_u19521), _u19523), hAPP(c_List_Oset(_u19521), _u19515))) | hBOOL(hAPP(hAPP(c_member(_u19521), _u19523), hAPP(c_List_Oset(_u19521), _u19525))) )).
% 43.40/43.65 cnf(matrix-7901, plain, ( ~c_List_Olist__all(_u19531, _u19533, _u19535) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19526), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19531)), _u19535))) | hBOOL(hAPP(_u19533, hAPP(hAPP(c_List_Onth(_u19531), _u19535), _u19526))) )).
% 43.40/43.65 cnf(matrix-7902, plain, ( c_List_Olist__all(_u19532, _u19534, _u19536) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), skolem515(_u19536, _u19534, _u19532)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19532)), _u19536))) )).
% 43.40/43.65 cnf(matrix-7903, plain, ( c_List_Olist__all(_u19532, _u19534, _u19536) | ~hBOOL(hAPP(_u19534, hAPP(hAPP(c_List_Onth(_u19532), _u19536), skolem515(_u19536, _u19534, _u19532)))) )).
% 43.40/43.65 cnf(matrix-7904, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), _u19540)) | ~hBOOL(hAPP(_u19541, c_Orderings_Obot__class_Obot(tc_fun(_u19539, tc_HOL_Obool)))) | hBOOL(hAPP(_u19541, _u19540)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), skolem517(_u19541, _u19540, _u19539))) )).
% 43.40/43.65 cnf(matrix-7905, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), _u19540)) | ~hBOOL(hAPP(_u19541, c_Orderings_Obot__class_Obot(tc_fun(_u19539, tc_HOL_Obool)))) | hBOOL(hAPP(_u19541, _u19540)) | ~hBOOL(hAPP(hAPP(c_member(_u19539), skolem516(_u19541, _u19540, _u19539)), skolem517(_u19541, _u19540, _u19539))) )).
% 43.40/43.65 cnf(matrix-7906, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), _u19540)) | ~hBOOL(hAPP(_u19541, c_Orderings_Obot__class_Obot(tc_fun(_u19539, tc_HOL_Obool)))) | hBOOL(hAPP(_u19541, _u19540)) | hBOOL(hAPP(_u19541, skolem517(_u19541, _u19540, _u19539))) )).
% 43.40/43.65 cnf(matrix-7907, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u19539), _u19540)) | ~hBOOL(hAPP(_u19541, c_Orderings_Obot__class_Obot(tc_fun(_u19539, tc_HOL_Obool)))) | hBOOL(hAPP(_u19541, _u19540)) | ~hBOOL(hAPP(_u19541, hAPP(hAPP(c_Set_Oinsert(_u19539), skolem516(_u19541, _u19540, _u19539)), skolem517(_u19541, _u19540, _u19539)))) )).
% 43.40/43.65 cnf(matrix-7908, plain, ( ~c_List_Olist__all(_u19546, _u19548, hAPP(hAPP(c_List_Olist_OCons(_u19546), _u19550), _u19552)) | hBOOL(hAPP(_u19548, _u19550)) )).
% 43.40/43.65 cnf(matrix-7909, plain, ( ~c_List_Olist__all(_u19546, _u19548, hAPP(hAPP(c_List_Olist_OCons(_u19546), _u19550), _u19552)) | c_List_Olist__all(_u19546, _u19548, _u19552) )).
% 43.40/43.65 cnf(matrix-7910, plain, ( ~hBOOL(hAPP(_u19549, _u19551)) | ~c_List_Olist__all(_u19547, _u19549, _u19553) | c_List_Olist__all(_u19547, _u19549, hAPP(hAPP(c_List_Olist_OCons(_u19547), _u19551), _u19553)) )).
% 43.40/43.65 cnf(matrix-7911, plain, ( ~c_List_Olist__all(_u19557, _u19559, hAPP(c_List_Orev(_u19557), _u19561)) | c_List_Olist__all(_u19557, _u19559, _u19561) )).
% 43.40/43.65 cnf(matrix-7912, plain, ( ~c_List_Olist__all(_u19558, _u19560, _u19562) | c_List_Olist__all(_u19558, _u19560, hAPP(c_List_Orev(_u19558), _u19562)) )).
% 43.40/43.65 cnf(matrix-7913, plain, ( ~c_List_Olist__all(_u19568, _u19570, _u19572) | ~hBOOL(hAPP(hAPP(c_member(_u19568), _u19563), hAPP(c_List_Oset(_u19568), _u19572))) | hBOOL(hAPP(_u19570, _u19563)) )).
% 43.40/43.65 cnf(matrix-7914, plain, ( c_List_Olist__all(_u19569, _u19571, _u19573) | hBOOL(hAPP(hAPP(c_member(_u19569), skolem518(_u19573, _u19571, _u19569)), hAPP(c_List_Oset(_u19569), _u19573))) )).
% 43.40/43.65 cnf(matrix-7915, plain, ( c_List_Olist__all(_u19569, _u19571, _u19573) | ~hBOOL(hAPP(_u19571, skolem518(_u19573, _u19571, _u19569))) )).
% 43.40/43.65 cnf(matrix-7916, plain, ( ~c_List_Olist__all(_u19578, _u19580, hAPP(hAPP(c_List_Oappend(_u19578), _u19582), _u19584)) | c_List_Olist__all(_u19578, _u19580, _u19582) )).
% 43.40/43.65 cnf(matrix-7917, plain, ( ~c_List_Olist__all(_u19578, _u19580, hAPP(hAPP(c_List_Oappend(_u19578), _u19582), _u19584)) | c_List_Olist__all(_u19578, _u19580, _u19584) )).
% 43.40/43.65 cnf(matrix-7918, plain, ( ~c_List_Olist__all(_u19579, _u19581, _u19583) | ~c_List_Olist__all(_u19579, _u19581, _u19585) | c_List_Olist__all(_u19579, _u19581, hAPP(hAPP(c_List_Oappend(_u19579), _u19583), _u19585)) )).
% 43.40/43.65 cnf(matrix-7919, plain, ( c_List_Olist__all(_u19586, _u19587, c_List_Olist_ONil(_u19586)) )).
% 43.40/43.65 cnf(matrix-7920, plain, ( c_List_Olist__all(_u19593, _u19597, _u19595) | hBOOL(hAPP(hAPP(c_member(_u19593), skolem519(_u19597, _u19595, _u19593)), hAPP(c_List_Oset(_u19593), _u19595))) )).
% 43.40/43.65 cnf(matrix-7921, plain, ( c_List_Olist__all(_u19593, _u19597, _u19595) | ~hBOOL(hAPP(_u19597, skolem519(_u19597, _u19595, _u19593))) )).
% 43.40/43.65 cnf(matrix-7922, plain, ( ~c_List_Olist__all(_u19594, _u19598, _u19596) | ~hBOOL(hAPP(hAPP(c_member(_u19594), _u19589), hAPP(c_List_Oset(_u19594), _u19596))) | hBOOL(hAPP(_u19598, _u19589)) )).
% 43.40/43.65 cnf(matrix-7923, plain, ( ~c_List_Olist__all(_u19604, _u19606, _u19608) | ~hBOOL(hAPP(hAPP(c_member(_u19604), _u19599), hAPP(c_List_Oset(_u19604), _u19608))) | hBOOL(hAPP(_u19606, _u19599)) )).
% 43.40/43.65 cnf(matrix-7924, plain, ( c_List_Olist__all(_u19605, _u19607, _u19609) | hBOOL(hAPP(hAPP(c_member(_u19605), skolem520(_u19609, _u19607, _u19605)), hAPP(c_List_Oset(_u19605), _u19609))) )).
% 43.40/43.65 cnf(matrix-7925, plain, ( c_List_Olist__all(_u19605, _u19607, _u19609) | ~hBOOL(hAPP(_u19607, skolem520(_u19609, _u19607, _u19605))) )).
% 43.40/43.65 cnf(matrix-7926, plain, ( ~c_List_Olist__ex1(_u19614, _u19616, hAPP(hAPP(c_List_Olist_OCons(_u19614), _u19618), _u19620)) | ~hBOOL(hAPP(_u19616, _u19618)) | c_List_Olist__all(_u19614, hAPP(hAPP(c_COMBS(_u19614, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19614), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19614), c_fNot), _u19616))), hAPP(c_fequal, _u19618)), _u19620) )).
% 43.40/43.65 cnf(matrix-7927, plain, ( ~c_List_Olist__ex1(_u19614, _u19616, hAPP(hAPP(c_List_Olist_OCons(_u19614), _u19618), _u19620)) | hBOOL(hAPP(_u19616, _u19618)) | c_List_Olist__ex1(_u19614, _u19616, _u19620) )).
% 43.40/43.65 cnf(matrix-7928, plain, ( c_List_Olist__ex1(_u19615, _u19617, hAPP(hAPP(c_List_Olist_OCons(_u19615), _u19619), _u19621)) | hBOOL(hAPP(_u19617, _u19619)) | ~c_List_Olist__ex1(_u19615, _u19617, _u19621) )).
% 43.40/43.65 cnf(matrix-7929, plain, ( c_List_Olist__ex1(_u19615, _u19617, hAPP(hAPP(c_List_Olist_OCons(_u19615), _u19619), _u19621)) | ~c_List_Olist__all(_u19615, hAPP(hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19615), c_fNot), _u19617))), hAPP(c_fequal, _u19619)), _u19621) | ~hBOOL(hAPP(_u19617, _u19619)) )).
% 43.40/43.65 cnf(matrix-7930, plain, ( c_List_Olist__ex1(_u19615, _u19617, hAPP(hAPP(c_List_Olist_OCons(_u19615), _u19619), _u19621)) | ~c_List_Olist__all(_u19615, hAPP(hAPP(c_COMBS(_u19615, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u19615), c_fdisj), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19615), c_fNot), _u19617))), hAPP(c_fequal, _u19619)), _u19621) | ~c_List_Olist__ex1(_u19615, _u19617, _u19621) )).
% 43.40/43.65 cnf(matrix-7931, 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))) )).
% 43.40/43.65 cnf(matrix-7932, plain, ( ~c_List_Olist__ex1(_u19622, _u19623, c_List_Olist_ONil(_u19622)) )).
% 43.40/43.65 cnf(matrix-7933, plain, ( c_FunDef_Ois__measure(_u19624, _u19625) )).
% 43.40/43.65 cnf(matrix-7934, plain, ( c_FunDef_Ois__measure(_u19626, _u19627) )).
% 43.40/43.65 cnf(matrix-7935, plain, ( c_FunDef_Ois__measure(_u19628, _u19629) )).
% 43.40/43.65 cnf(matrix-7936, plain, ( ~class_Nat_Osize(_u19630) | c_FunDef_Ois__measure(_u19630, c_Nat_Osize__class_Osize(_u19630)) )).
% 43.40/43.65 cnf(matrix-7937, plain, ( ~c_FunDef_Ois__measure(_u19631, _u19632) | c_FunDef_Ois__measure(tc_prod(_u19633, _u19631), hAPP(hAPP(c_COMBB(_u19631, tc_Nat_Onat, tc_prod(_u19633, _u19631)), _u19632), c_Product__Type_Osnd(_u19633, _u19631))) )).
% 43.40/43.65 cnf(matrix-7938, plain, ( ~c_FunDef_Ois__measure(_u19634, _u19635) | c_FunDef_Ois__measure(tc_prod(_u19634, _u19636), hAPP(hAPP(c_COMBB(_u19634, tc_Nat_Onat, tc_prod(_u19634, _u19636)), _u19635), c_Product__Type_Ofst(_u19634, _u19636))) )).
% 43.40/43.65 cnf(matrix-7939, plain, ( ~c_List_Olist__ex1(_u19644, _u19646, _u19648) | hBOOL(hAPP(hAPP(c_member(_u19644), skolem521(_u19648, _u19646, _u19644)), hAPP(c_List_Oset(_u19644), _u19648))) )).
% 43.40/43.65 cnf(matrix-7940, plain, ( ~c_List_Olist__ex1(_u19644, _u19646, _u19648) | hBOOL(hAPP(_u19646, skolem521(_u19648, _u19646, _u19644))) )).
% 43.40/43.65 cnf(matrix-7941, plain, ( ~c_List_Olist__ex1(_u19644, _u19646, _u19648) | ~hBOOL(hAPP(hAPP(c_member(_u19644), _u19637), hAPP(c_List_Oset(_u19644), _u19648))) | ~hBOOL(hAPP(_u19646, _u19637)) | ( _u19637 = skolem521(_u19648, _u19646, _u19644)) )).
% 43.40/43.65 cnf(matrix-7942, plain, ( c_List_Olist__ex1(_u19645, _u19647, _u19649) | ~hBOOL(hAPP(hAPP(c_member(_u19645), _u19640), hAPP(c_List_Oset(_u19645), _u19649))) | ~hBOOL(hAPP(_u19647, _u19640)) | hBOOL(hAPP(hAPP(c_member(_u19645), skolem522(_u19649, _u19647, _u19645, _u19640)), hAPP(c_List_Oset(_u19645), _u19649))) )).
% 43.40/43.65 cnf(matrix-7943, plain, ( c_List_Olist__ex1(_u19645, _u19647, _u19649) | ~hBOOL(hAPP(hAPP(c_member(_u19645), _u19640), hAPP(c_List_Oset(_u19645), _u19649))) | ~hBOOL(hAPP(_u19647, _u19640)) | hBOOL(hAPP(_u19647, skolem522(_u19649, _u19647, _u19645, _u19640))) )).
% 43.40/43.65 cnf(matrix-7944, plain, ( c_List_Olist__ex1(_u19645, _u19647, _u19649) | ~hBOOL(hAPP(hAPP(c_member(_u19645), _u19640), hAPP(c_List_Oset(_u19645), _u19649))) | ~hBOOL(hAPP(_u19647, _u19640)) | ( skolem522(_u19649, _u19647, _u19645, _u19640) != _u19640) )).
% 43.40/43.65 cnf(matrix-7945, 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)) )).
% 43.40/43.65 cnf(matrix-7946, plain, ( ( _u19655 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19657, _u19659, _u19661, _u19663), _u19655) = c_Lazy__Sequence_Ohit__bound(_u19659)) )).
% 43.40/43.65 cnf(matrix-7947, plain, ( ( _u19656 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Oneg__decr__bind(_u19658, _u19660, _u19662, _u19664), _u19656) = c_Lazy__Sequence_Ohb__bind(_u19658, _u19660, hAPP(_u19662, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19656), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))), hAPP(hAPP(c_COMBC(_u19658, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19660))), _u19664), _u19656))) )).
% 43.40/43.65 cnf(matrix-7948, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7949, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool), c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-7950, plain, ( ( c_New__Random__Sequence_Oneg__decr__bind(_u19665, _u19666, _u19667, _u19668, _u19669, _u19670, _u19671) = c_New__DSequence_Oneg__decr__bind(_u19665, _u19666, hAPP(hAPP(hAPP(_u19667, _u19669), _u19670), _u19671), hAPP(hAPP(c_COMBC(_u19665, 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(_u19666)))), hAPP(hAPP(c_COMBC(_u19665, 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(_u19666))))), hAPP(hAPP(c_COMBC(_u19665, 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(_u19666)))))), _u19668), _u19669)), _u19670)), _u19671))) )).
% 43.40/43.65 cnf(matrix-7951, plain, ( ( hAPP(c_New__DSequence_Oneg__bind(_u19672, _u19673, _u19674, _u19675), _u19676) = c_Lazy__Sequence_Ohb__bind(_u19672, _u19673, hAPP(_u19674, _u19676), hAPP(hAPP(c_COMBC(_u19672, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(_u19673))), _u19675), _u19676))) )).
% 43.40/43.65 cnf(matrix-7952, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(_u19677, _u19678, _u19679, _u19680), _u19681), _u19682), _u19683) = c_New__DSequence_Oneg__bind(_u19677, _u19678, hAPP(hAPP(hAPP(_u19679, _u19681), _u19682), _u19683), hAPP(hAPP(c_COMBC(_u19677, 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(_u19678)))), hAPP(hAPP(c_COMBC(_u19677, 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(_u19678))))), hAPP(hAPP(c_COMBC(_u19677, 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(_u19678)))))), _u19680), _u19681)), _u19682)), _u19683))) )).
% 43.40/43.65 cnf(matrix-7953, plain, ( ( _u19689 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19691, _u19693, _u19695, _u19697), _u19689) = c_Lazy__Sequence_Oempty(_u19693)) )).
% 43.40/43.65 cnf(matrix-7954, plain, ( ( _u19690 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) | ( hAPP(c_New__DSequence_Opos__decr__bind(_u19692, _u19694, _u19696, _u19698), _u19690) = hAPP(c_Lazy__Sequence_Obind(_u19692, _u19694, hAPP(_u19696, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u19690), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))), hAPP(hAPP(c_COMBC(_u19692, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19694)), _u19698), _u19690))) )).
% 43.40/43.65 cnf(matrix-7955, plain, ( ( c_New__Random__Sequence_Opos__decr__bind(_u19699, _u19700, _u19701, _u19702, _u19703, _u19704, _u19705) = c_New__DSequence_Opos__decr__bind(_u19699, _u19700, hAPP(hAPP(hAPP(_u19701, _u19703), _u19704), _u19705), hAPP(hAPP(c_COMBC(_u19699, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19700))), hAPP(hAPP(c_COMBC(_u19699, 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(_u19700)))), hAPP(hAPP(c_COMBC(_u19699, 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(_u19700))))), _u19702), _u19703)), _u19704)), _u19705))) )).
% 43.40/43.65 cnf(matrix-7956, plain, ( ( hAPP(c_New__DSequence_Opos__empty(_u19706), _u19707) = c_Lazy__Sequence_Oempty(_u19706)) )).
% 43.40/43.65 cnf(matrix-7957, plain, ( ( c_New__Random__Sequence_Opos__empty(_u19708, _u19709, _u19710, _u19711) = c_New__DSequence_Opos__empty(_u19708)) )).
% 43.40/43.65 cnf(matrix-7958, plain, ( ( hAPP(c_New__DSequence_Opos__bind(_u19712, _u19713, _u19714, _u19715), _u19716) = hAPP(c_Lazy__Sequence_Obind(_u19712, _u19713, hAPP(_u19714, _u19716)), hAPP(hAPP(c_COMBC(_u19712, tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19713)), _u19715), _u19716))) )).
% 43.40/43.65 cnf(matrix-7959, plain, ( ( hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(_u19717, _u19718, _u19719, _u19720), _u19721), _u19722), _u19723) = c_New__DSequence_Opos__bind(_u19717, _u19718, hAPP(hAPP(hAPP(_u19719, _u19721), _u19722), _u19723), hAPP(hAPP(c_COMBC(_u19717, tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_Lazy__Sequence_Olazy__sequence(_u19718))), hAPP(hAPP(c_COMBC(_u19717, 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(_u19718)))), hAPP(hAPP(c_COMBC(_u19717, 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(_u19718))))), _u19720), _u19721)), _u19722)), _u19723))) )).
% 43.40/43.65 cnf(matrix-7960, plain, ( ( c_New__Random__Sequence_Oneg__map(_u19724, _u19725, _u19726, _u19727) = c_New__Random__Sequence_Oneg__bind(_u19724, _u19725, _u19727, hAPP(c_Fun_Ocomp(_u19725, 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(_u19725)))))), _u19724, c_New__Random__Sequence_Oneg__single(_u19725)), _u19726))) )).
% 43.40/43.65 cnf(matrix-7961, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(_u19728), _u19729), _u19730), _u19731), _u19732) = c_New__DSequence_Oneg__single(_u19728, _u19729)) )).
% 43.40/43.65 cnf(matrix-7962, plain, ( ( c_New__Random__Sequence_Opos__map(_u19733, _u19734, _u19735, _u19736) = c_New__Random__Sequence_Opos__bind(_u19733, _u19734, _u19736, hAPP(c_Fun_Ocomp(_u19734, 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(_u19734))))), _u19733, c_New__Random__Sequence_Opos__single(_u19734)), _u19735))) )).
% 43.40/43.65 cnf(matrix-7963, plain, ( ( hAPP(c_New__DSequence_Oneg__single(_u19737, _u19738), _u19739) = c_Lazy__Sequence_Ohb__single(_u19737, _u19738)) )).
% 43.40/43.65 cnf(matrix-7964, plain, ( ( hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(_u19740), _u19741), _u19742), _u19743), _u19744) = c_New__DSequence_Opos__single(_u19740, _u19741)) )).
% 43.40/43.65 cnf(matrix-7965, plain, ( ( hAPP(c_New__DSequence_Opos__single(_u19745, _u19746), _u19747) = hAPP(c_Lazy__Sequence_Osingle(_u19745), _u19746)) )).
% 43.40/43.65 cnf(matrix-7966, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19748)), c_List_Osplice(_u19748, _u19749, _u19750)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19748)), _u19749)), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19748)), _u19750))) )).
% 43.40/43.65 cnf(matrix-7967, plain, ( ( c_List_Osplice(_u19751, hAPP(hAPP(c_List_Olist_OCons(_u19751), _u19752), _u19753), hAPP(hAPP(c_List_Olist_OCons(_u19751), _u19754), _u19755)) = hAPP(hAPP(c_List_Olist_OCons(_u19751), _u19752), hAPP(hAPP(c_List_Olist_OCons(_u19751), _u19754), c_List_Osplice(_u19751, _u19753, _u19755)))) )).
% 43.40/43.65 cnf(matrix-7968, plain, ( ( c_List_Osplice(_u19756, c_List_Olist_ONil(_u19756), _u19757) = _u19757) )).
% 43.40/43.65 cnf(matrix-7969, plain, ( ( c_List_Osplice(_u19758, _u19759, c_List_Olist_ONil(_u19758)) = _u19759) )).
% 43.40/43.65 cnf(matrix-7970, plain, ( ( c_List_Osplice(_u19760, hAPP(hAPP(c_List_Olist_OCons(_u19760), _u19761), _u19762), c_List_Olist_ONil(_u19760)) = hAPP(hAPP(c_List_Olist_OCons(_u19760), _u19761), _u19762)) )).
% 43.40/43.65 cnf(matrix-7971, plain, ( ( c_Lazy__Sequence_Oproduct(_u19763, _u19764, _u19765, _u19766) = hAPP(c_Lazy__Sequence_Obind(_u19763, tc_prod(_u19763, _u19764), _u19765), hAPP(hAPP(c_COMBB(tc_fun(_u19764, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19763, _u19764))), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19763, _u19764)), _u19763), c_Lazy__Sequence_Obind(_u19764, tc_prod(_u19763, _u19764), _u19766)), hAPP(hAPP(c_COMBB(tc_fun(_u19764, tc_prod(_u19763, _u19764)), tc_fun(_u19764, tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19763, _u19764))), _u19763), hAPP(c_COMBB(tc_prod(_u19763, _u19764), tc_Lazy__Sequence_Olazy__sequence(tc_prod(_u19763, _u19764)), _u19764), c_Lazy__Sequence_Osingle(tc_prod(_u19763, _u19764)))), c_Product__Type_OPair(_u19763, _u19764))))) )).
% 43.40/43.65 cnf(matrix-7972, plain, ( ~c_Wellfounded_Oacyclic(_u19769, hAPP(c_Set_OCollect(tc_prod(_u19769, _u19769)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19769, _u19769, tc_HOL_Obool), c_Predicate_Oconversep(_u19769, _u19769, _u19771)))) | c_Wellfounded_Oacyclic(_u19769, hAPP(c_Set_OCollect(tc_prod(_u19769, _u19769)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19769, _u19769, tc_HOL_Obool), _u19771))) )).
% 43.40/43.65 cnf(matrix-7973, plain, ( ~c_Wellfounded_Oacyclic(_u19770, hAPP(c_Set_OCollect(tc_prod(_u19770, _u19770)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19770, _u19770, tc_HOL_Obool), _u19772))) | c_Wellfounded_Oacyclic(_u19770, hAPP(c_Set_OCollect(tc_prod(_u19770, _u19770)), hAPP(c_Product__Type_Oprod_Oprod__case(_u19770, _u19770, tc_HOL_Obool), c_Predicate_Oconversep(_u19770, _u19770, _u19772)))) )).
% 43.40/43.65 cnf(matrix-7974, plain, ( ( c_Predicate_Oconversep(_u19773, _u19774, c_Predicate_Opred__comp(_u19773, _u19775, _u19774, _u19776, _u19777)) = c_Predicate_Opred__comp(_u19774, _u19775, _u19773, c_Predicate_Oconversep(_u19775, _u19774, _u19777), c_Predicate_Oconversep(_u19773, _u19775, _u19776))) )).
% 43.40/43.65 cnf(matrix-7975, plain, ( ( _u19783 != _u19785) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19781, _u19781, hAPP(hAPP(c_COMBB(tc_fun(_u19781, tc_HOL_Obool), tc_fun(_u19781, tc_HOL_Obool), _u19781), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19781), c_fNot)), c_fequal)), _u19783), _u19785)) )).
% 43.40/43.65 cnf(matrix-7976, plain, ( ( _u19784 = _u19786) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19782, _u19782, hAPP(hAPP(c_COMBB(tc_fun(_u19782, tc_HOL_Obool), tc_fun(_u19782, tc_HOL_Obool), _u19782), hAPP(c_COMBB(tc_HOL_Obool, tc_HOL_Obool, _u19782), c_fNot)), c_fequal)), _u19784), _u19786)) )).
% 43.40/43.65 cnf(matrix-7977, plain, ( ( c_Predicate_Oconversep(_u19787, _u19787, c_fequal) = c_fequal) )).
% 43.40/43.65 cnf(matrix-7978, plain, ( ( c_Predicate_Oconversep(_u19788, _u19789, c_Predicate_Oconversep(_u19789, _u19788, _u19790)) = _u19790) )).
% 43.40/43.65 cnf(matrix-7979, plain, ( hBOOL(hAPP(hAPP(_u19800, _u19804), _u19802)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19796, _u19798, _u19800), _u19802), _u19804)) )).
% 43.40/43.65 cnf(matrix-7980, plain, ( ~hBOOL(hAPP(hAPP(_u19801, _u19805), _u19803)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19797, _u19799, _u19801), _u19803), _u19805)) )).
% 43.40/43.65 cnf(matrix-7981, plain, ( hBOOL(hAPP(hAPP(_u19815, _u19819), _u19817)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19811, _u19813, _u19815), _u19817), _u19819)) )).
% 43.40/43.65 cnf(matrix-7982, plain, ( ~hBOOL(hAPP(hAPP(_u19816, _u19820), _u19818)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19812, _u19814, _u19816), _u19818), _u19820)) )).
% 43.40/43.65 cnf(matrix-7983, plain, ( ~hBOOL(hAPP(hAPP(_u19821, _u19822), _u19823)) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19824, _u19825, _u19821), _u19823), _u19822)) )).
% 43.40/43.65 cnf(matrix-7984, plain, ( hBOOL(hAPP(hAPP(_u19828, _u19830), _u19829)) | ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19826, _u19827, _u19828), _u19829), _u19830)) )).
% 43.40/43.65 cnf(matrix-7985, plain, ( ( c_Predicate_Oconversep(_u19831, _u19832, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19831, tc_fun(_u19832, tc_HOL_Obool))), _u19833), _u19834)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u19832, tc_fun(_u19831, tc_HOL_Obool))), c_Predicate_Oconversep(_u19831, _u19832, _u19833)), c_Predicate_Oconversep(_u19831, _u19832, _u19834))) )).
% 43.40/43.65 cnf(matrix-7986, plain, ( ( c_Predicate_Oconversep(_u19835, _u19836, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19835, tc_fun(_u19836, tc_HOL_Obool))), _u19837), _u19838)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u19836, tc_fun(_u19835, tc_HOL_Obool))), c_Predicate_Oconversep(_u19835, _u19836, _u19837)), c_Predicate_Oconversep(_u19835, _u19836, _u19838))) )).
% 43.40/43.65 cnf(matrix-7987, plain, ( ~hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19844, _u19846, hAPP(hAPP(c_COMBC(_u19844, tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_fun(_u19846, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19846, tc_fun(tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_fun(_u19846, tc_HOL_Obool)), _u19844), c_COMBC(_u19846, tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19846, tc_prod(_u19844, _u19846)), tc_fun(_u19846, tc_fun(tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_HOL_Obool)), _u19844), hAPP(c_COMBB(tc_prod(_u19844, _u19846), tc_fun(tc_fun(tc_prod(_u19844, _u19846), tc_HOL_Obool), tc_HOL_Obool), _u19846), c_member(tc_prod(_u19844, _u19846)))), c_Product__Type_OPair(_u19844, _u19846)))), _u19848)), _u19850), _u19852)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u19846, _u19844)), hAPP(hAPP(c_Product__Type_OPair(_u19846, _u19844), _u19850), _u19852)), hAPP(c_Relation_Oconverse(_u19844, _u19846), _u19848))) )).
% 43.40/43.65 cnf(matrix-7988, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u19847, _u19845)), hAPP(hAPP(c_Product__Type_OPair(_u19847, _u19845), _u19851), _u19853)), hAPP(c_Relation_Oconverse(_u19845, _u19847), _u19849))) | hBOOL(hAPP(hAPP(c_Predicate_Oconversep(_u19845, _u19847, hAPP(hAPP(c_COMBC(_u19845, tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_fun(_u19847, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19847, tc_fun(tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_HOL_Obool)), tc_fun(tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_fun(_u19847, tc_HOL_Obool)), _u19845), c_COMBC(_u19847, tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u19847, tc_prod(_u19845, _u19847)), tc_fun(_u19847, tc_fun(tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_HOL_Obool)), _u19845), hAPP(c_COMBB(tc_prod(_u19845, _u19847), tc_fun(tc_fun(tc_prod(_u19845, _u19847), tc_HOL_Obool), tc_HOL_Obool), _u19847), c_member(tc_prod(_u19845, _u19847)))), c_Product__Type_OPair(_u19845, _u19847)))), _u19849)), _u19851), _u19853)) )).
% 43.40/43.65 cnf(matrix-7989, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19854) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19854), _u19855) = c_Lazy__Sequence_Oappend(tc_List_Olist(_u19854), hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(_u19854)), c_List_Olist_ONil(_u19854)), hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19854))), hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), c_Groups_Ozero__class_Ozero(tc_Int_Oint)), _u19855)), hAPP(c_Lazy__Sequence_Obind(tc_prod(_u19854, tc_List_Olist(_u19854)), tc_List_Olist(_u19854), c_Lazy__Sequence_Oproduct(_u19854, tc_List_Olist(_u19854), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19854, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19855), c_Groups_Oone__class_Oone(tc_Int_Oint))), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(_u19854), hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint), _u19855), c_Groups_Oone__class_Oone(tc_Int_Oint))))), hAPP(c_Product__Type_Oprod_Oprod__case(_u19854, tc_List_Olist(_u19854), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19854))), hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(_u19854), tc_List_Olist(_u19854)), tc_fun(tc_List_Olist(_u19854), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19854))), _u19854), hAPP(c_COMBB(tc_List_Olist(_u19854), tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(_u19854)), tc_List_Olist(_u19854)), c_Lazy__Sequence_Osingle(tc_List_Olist(_u19854)))), c_List_Olist_OCons(_u19854))))), c_Lazy__Sequence_Oempty(tc_List_Olist(_u19854))))) )).
% 43.40/43.65 cnf(matrix-7990, plain, ( ( _u19856 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Otl(_u19857), c_List_Oreplicate(_u19857, _u19856, _u19858)) = c_List_Oreplicate(_u19857, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19856), c_Groups_Oone__class_Oone(tc_Nat_Onat)), _u19858)) )).
% 43.40/43.65 cnf(matrix-7991, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u19859) | ~class_Lazy__Sequence_Osmall__lazy(_u19860) | ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(_u19859, _u19860), _u19861) = c_Lazy__Sequence_Oproduct(_u19859, _u19860, c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19859, _u19861), c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(_u19860, _u19861))) )).
% 43.40/43.65 cnf(matrix-7992, plain, ( ( c_List_Oreplicate(_u19862, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19862)), hAPP(c_List_Ofilter(_u19862, hAPP(c_fequal, _u19863)), _u19864)), _u19863) = hAPP(c_List_Ofilter(_u19862, hAPP(c_fequal, _u19863)), _u19864)) )).
% 43.40/43.65 cnf(matrix-7993, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19865)), c_List_Oreplicate(_u19865, _u19866, _u19867)) = _u19866) )).
% 43.40/43.65 cnf(matrix-7994, plain, ( ( hAPP(hAPP(c_List_Omap(_u19868, _u19869), hAPP(c_COMBK(_u19869, _u19868), _u19870)), _u19871) = c_List_Oreplicate(_u19869, hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u19868)), _u19871), _u19870)) )).
% 43.40/43.65 cnf(matrix-7995, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19872), c_List_Oreplicate(_u19872, _u19873, _u19874)), hAPP(hAPP(c_List_Olist_OCons(_u19872), _u19874), _u19875)) = hAPP(hAPP(c_List_Olist_OCons(_u19872), _u19874), hAPP(hAPP(c_List_Oappend(_u19872), c_List_Oreplicate(_u19872, _u19873, _u19874)), _u19875))) )).
% 43.40/43.65 cnf(matrix-7996, plain, ( ( c_List_Oreplicate(_u19876, hAPP(c_Nat_OSuc, _u19877), _u19878) = hAPP(hAPP(c_List_Olist_OCons(_u19876), _u19878), c_List_Oreplicate(_u19876, _u19877, _u19878))) )).
% 43.40/43.65 cnf(matrix-7997, plain, ( ( hAPP(c_List_Orev(_u19879), c_List_Oreplicate(_u19879, _u19880, _u19881)) = c_List_Oreplicate(_u19879, _u19880, _u19881)) )).
% 43.40/43.65 cnf(matrix-7998, plain, ( ( _u19882 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olast(_u19883, c_List_Oreplicate(_u19883, _u19882, _u19884)) = _u19884) )).
% 43.40/43.65 cnf(matrix-7999, plain, ( ( hAPP(hAPP(c_List_Otake(_u19885), _u19886), c_List_Oreplicate(_u19885, _u19887, _u19888)) = c_List_Oreplicate(_u19885, hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19886), _u19887), _u19888)) )).
% 43.40/43.65 cnf(matrix-8000, plain, ( ( _u19889 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Ohd(_u19890), c_List_Oreplicate(_u19890, _u19889, _u19891)) = _u19891) )).
% 43.40/43.65 cnf(matrix-8001, plain, ( ( hAPP(hAPP(c_List_Odrop(_u19892), _u19893), c_List_Oreplicate(_u19892, _u19894, _u19895)) = c_List_Oreplicate(_u19892, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat), _u19894), _u19893), _u19895)) )).
% 43.40/43.65 cnf(matrix-8002, plain, ( ( hAPP(hAPP(c_List_Ozip(_u19896, _u19897), c_List_Oreplicate(_u19896, _u19898, _u19899)), c_List_Oreplicate(_u19897, _u19900, _u19901)) = c_List_Oreplicate(tc_prod(_u19896, _u19897), hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat), _u19898), _u19900), hAPP(hAPP(c_Product__Type_OPair(_u19896, _u19897), _u19899), _u19901))) )).
% 43.40/43.65 cnf(matrix-8003, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19908), _u19902), hAPP(c_List_Oset(_u19908), c_List_Oreplicate(_u19908, _u19910, _u19912)))) | ~hBOOL(hAPP(_u19914, _u19902)) | hBOOL(hAPP(_u19914, _u19912)) )).
% 43.40/43.65 cnf(matrix-8004, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19908), _u19902), hAPP(c_List_Oset(_u19908), c_List_Oreplicate(_u19908, _u19910, _u19912)))) | ~hBOOL(hAPP(_u19914, _u19902)) | ( _u19910 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-8005, plain, ( ~hBOOL(hAPP(_u19915, _u19913)) | ( _u19911 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19909), skolem523(_u19915, _u19913, _u19911, _u19909)), hAPP(c_List_Oset(_u19909), c_List_Oreplicate(_u19909, _u19911, _u19913)))) )).
% 43.40/43.65 cnf(matrix-8006, plain, ( ~hBOOL(hAPP(_u19915, _u19913)) | ( _u19911 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(_u19915, skolem523(_u19915, _u19913, _u19911, _u19909))) )).
% 43.40/43.65 cnf(matrix-8007, plain, ( hBOOL(hAPP(_u19928, _u19926)) | ( _u19924 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u19922), skolem524(_u19928, _u19926, _u19924, _u19922)), hAPP(c_List_Oset(_u19922), c_List_Oreplicate(_u19922, _u19924, _u19926)))) )).
% 43.40/43.65 cnf(matrix-8008, plain, ( hBOOL(hAPP(_u19928, _u19926)) | ( _u19924 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ~hBOOL(hAPP(_u19928, skolem524(_u19928, _u19926, _u19924, _u19922))) )).
% 43.40/43.65 cnf(matrix-8009, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19923), _u19917), hAPP(c_List_Oset(_u19923), c_List_Oreplicate(_u19923, _u19925, _u19927)))) | hBOOL(hAPP(_u19929, _u19917)) | ~hBOOL(hAPP(_u19929, _u19927)) )).
% 43.40/43.65 cnf(matrix-8010, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u19923), _u19917), hAPP(c_List_Oset(_u19923), c_List_Oreplicate(_u19923, _u19925, _u19927)))) | hBOOL(hAPP(_u19929, _u19917)) | ( _u19925 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-8011, plain, ( ( c_List_Oreplicate(_u19935, _u19937, _u19939) != c_List_Oreplicate(_u19935, _u19941, _u19943)) | ( _u19937 = _u19941) )).
% 43.40/43.65 cnf(matrix-8012, plain, ( ( c_List_Oreplicate(_u19935, _u19937, _u19939) != c_List_Oreplicate(_u19935, _u19941, _u19943)) | ( _u19937 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( _u19939 = _u19943) )).
% 43.40/43.65 cnf(matrix-8013, plain, ( ( c_List_Oreplicate(_u19936, _u19938, _u19940) = c_List_Oreplicate(_u19936, _u19942, _u19944)) | ( _u19938 != _u19942) | ( _u19938 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-8014, plain, ( ( c_List_Oreplicate(_u19936, _u19938, _u19940) = c_List_Oreplicate(_u19936, _u19942, _u19944)) | ( _u19938 != _u19942) | ( _u19940 != _u19944) )).
% 43.40/43.65 cnf(matrix-8015, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), _u19945), _u19946)) | ( hAPP(hAPP(c_List_Onth(_u19947), c_List_Oreplicate(_u19947, _u19946, _u19948)), _u19945) = _u19948) )).
% 43.40/43.65 cnf(matrix-8016, plain, ( ( hAPP(hAPP(c_List_Oappend(_u19949), c_List_Oreplicate(_u19949, _u19950, _u19951)), c_List_Oreplicate(_u19949, _u19952, _u19951)) = hAPP(hAPP(c_List_Oappend(_u19949), c_List_Oreplicate(_u19949, _u19952, _u19951)), c_List_Oreplicate(_u19949, _u19950, _u19951))) )).
% 43.40/43.65 cnf(matrix-8017, plain, ( ( c_List_Oreplicate(_u19953, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), _u19954), _u19955), _u19956) = hAPP(hAPP(c_List_Oappend(_u19953), c_List_Oreplicate(_u19953, _u19954, _u19956)), c_List_Oreplicate(_u19953, _u19955, _u19956))) )).
% 43.40/43.65 cnf(matrix-8018, plain, ( ~hBOOL(hAPP(_u19961, _u19963)) | ( hAPP(c_List_Ofilter(_u19965, _u19961), c_List_Oreplicate(_u19965, _u19967, _u19963)) = c_List_Oreplicate(_u19965, _u19967, _u19963)) )).
% 43.40/43.65 cnf(matrix-8019, plain, ( hBOOL(hAPP(_u19962, _u19964)) | ( hAPP(c_List_Ofilter(_u19966, _u19962), c_List_Oreplicate(_u19966, _u19968, _u19964)) = c_List_Olist_ONil(_u19966)) )).
% 43.40/43.65 cnf(matrix-8020, plain, ( ( c_List_Oconcat(_u19969, c_List_Oreplicate(tc_List_Olist(_u19969), _u19970, c_List_Olist_ONil(_u19969))) = c_List_Olist_ONil(_u19969)) )).
% 43.40/43.65 cnf(matrix-8021, plain, ( ( c_List_Oreplicate(_u19971, c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u19972) = c_List_Olist_ONil(_u19971)) )).
% 43.40/43.65 cnf(matrix-8022, plain, ( ( _u19978 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19976) != c_List_Oreplicate(_u19976, _u19978, _u19980)) )).
% 43.40/43.65 cnf(matrix-8023, plain, ( ( _u19979 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Olist_ONil(_u19977) = c_List_Oreplicate(_u19977, _u19979, _u19981)) )).
% 43.40/43.65 cnf(matrix-8024, plain, ( ( _u19987 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19985, _u19987, _u19989) != c_List_Olist_ONil(_u19985)) )).
% 43.40/43.65 cnf(matrix-8025, plain, ( ( _u19988 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( c_List_Oreplicate(_u19986, _u19988, _u19990) = c_List_Olist_ONil(_u19986)) )).
% 43.40/43.65 cnf(matrix-8026, plain, ( ( hAPP(hAPP(c_List_Omap(_u19991, _u19992), _u19993), c_List_Oreplicate(_u19991, _u19994, _u19995)) = c_List_Oreplicate(_u19992, _u19994, hAPP(_u19993, _u19995))) )).
% 43.40/43.65 cnf(matrix-8027, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20000), _u20002), hAPP(c_List_Oset(_u20000), c_List_Oreplicate(_u20000, _u20004, _u20006)))) | ( _u20002 = _u20006) )).
% 43.40/43.65 cnf(matrix-8028, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20000), _u20002), hAPP(c_List_Oset(_u20000), c_List_Oreplicate(_u20000, _u20004, _u20006)))) | ( _u20004 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-8029, plain, ( ( _u20003 != _u20007) | ( _u20005 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | hBOOL(hAPP(hAPP(c_member(_u20001), _u20003), hAPP(c_List_Oset(_u20001), c_List_Oreplicate(_u20001, _u20005, _u20007)))) )).
% 43.40/43.65 cnf(matrix-8030, plain, ( ( hAPP(hAPP(c_List_Oappend(_u20008), c_List_Oreplicate(_u20008, _u20009, _u20010)), hAPP(hAPP(c_List_Olist_OCons(_u20008), _u20010), c_List_Olist_ONil(_u20008))) = hAPP(hAPP(c_List_Olist_OCons(_u20008), _u20010), c_List_Oreplicate(_u20008, _u20009, _u20010))) )).
% 43.40/43.65 cnf(matrix-8031, plain, ( ( hAPP(hAPP(c_List_Omap(tc_Nat_Onat, _u20011), hAPP(c_COMBK(_u20011, tc_Nat_Onat), _u20012)), c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat), _u20013)) = c_List_Oreplicate(_u20011, _u20013, _u20012)) )).
% 43.40/43.65 cnf(matrix-8032, plain, ( ( _u20014 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20015), c_List_Oreplicate(_u20015, _u20014, _u20016)) = hAPP(hAPP(c_Set_Oinsert(_u20015), _u20016), c_Orderings_Obot__class_Obot(tc_fun(_u20015, tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-8033, plain, ( ( _u20020 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20022), c_List_Oreplicate(_u20022, _u20020, _u20024)) = c_Orderings_Obot__class_Obot(tc_fun(_u20022, tc_HOL_Obool))) )).
% 43.40/43.65 cnf(matrix-8034, plain, ( ( _u20021 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) | ( hAPP(c_List_Oset(_u20023), c_List_Oreplicate(_u20023, _u20021, _u20025)) = hAPP(hAPP(c_Set_Oinsert(_u20023), _u20025), c_Orderings_Obot__class_Obot(tc_fun(_u20023, tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-8035, plain, ( ( hAPP(c_List_Oset(_u20026), c_List_Oreplicate(_u20026, hAPP(c_Nat_OSuc, _u20027), _u20028)) = hAPP(hAPP(c_Set_Oinsert(_u20026), _u20028), c_Orderings_Obot__class_Obot(tc_fun(_u20026, tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-8036, plain, ( ( hAPP(c_New__DSequence_Opos__union(_u20029, _u20030, _u20031), _u20032) = c_Lazy__Sequence_Oappend(_u20029, hAPP(_u20030, _u20032), hAPP(_u20031, _u20032))) )).
% 43.40/43.65 cnf(matrix-8037, plain, ( ( c_Predicate_Opred__comp(_u20033, _u20033, _u20033, c_fequal, c_Predicate_Opred__comp(_u20033, _u20033, _u20033, _u20034, c_fequal)) = _u20034) )).
% 43.40/43.65 cnf(matrix-8038, plain, ( ( c_New__Random__Sequence_Opos__union(_u20035, _u20036, _u20037, _u20038, _u20039, _u20040) = c_New__DSequence_Opos__union(_u20035, hAPP(hAPP(hAPP(_u20036, _u20038), _u20039), _u20040), hAPP(hAPP(hAPP(_u20037, _u20038), _u20039), _u20040))) )).
% 43.40/43.65 cnf(matrix-8039, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20043), _u20045)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20043, _u20045) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 43.40/43.65 cnf(matrix-8040, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20044), _u20046)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20044, _u20046) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20046), c_Lazy__Sequence_Osmall__lazy_H(_u20044, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20046), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.40/43.65 cnf(matrix-8041, plain, ( ( c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint, _u20047) = c_Lazy__Sequence_Osmall__lazy_H(_u20047, hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint), _u20047))) )).
% 43.40/43.65 cnf(matrix-8042, 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), _u20048), _u20049))) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20048), _u20049)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20048, _u20049) = c_Lazy__Sequence_Oempty(tc_Int_Oint)) )).
% 43.40/43.65 cnf(matrix-8043, 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), _u20048), _u20049))) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), _u20048), _u20049)) | ( c_Lazy__Sequence_Osmall__lazy_H(_u20048, _u20049) = c_Lazy__Sequence_Oappend(tc_Int_Oint, hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint), _u20049), c_Lazy__Sequence_Osmall__lazy_H(_u20048, hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), _u20049), c_Groups_Oone__class_Oone(tc_Int_Oint))))) )).
% 43.40/43.65 cnf(matrix-8044, plain, ( ~class_Fields_Olinordered__field(_u20051) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20051), _u20052), _u20053)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(_u20051), c_Groups_Ozero__class_Ozero(_u20051)), skolem525(_u20053, _u20052, _u20051))) )).
% 43.40/43.65 cnf(matrix-8045, plain, ( ~class_Fields_Olinordered__field(_u20051) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20051), _u20052), _u20053)) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(_u20051), _u20052), hAPP(hAPP(c_Groups_Oplus__class_Oplus(_u20051), _u20053), skolem525(_u20053, _u20052, _u20051)))) )).
% 43.40/43.65 cnf(matrix-8046, 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), _u20056), _u20057))) | hBOOL(hAPP(hAPP(_u20058, _u20056), _u20057)) | 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), skolem526(_u20058, _u20057, _u20056)), skolem527(_u20058, _u20057, _u20056)))) )).
% 43.40/43.65 cnf(matrix-8047, 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), _u20056), _u20057))) | hBOOL(hAPP(hAPP(_u20058, _u20056), _u20057)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint), skolem526(_u20058, _u20057, _u20056)), skolem527(_u20058, _u20057, _u20056))) | hBOOL(hAPP(hAPP(_u20058, skolem526(_u20058, _u20057, _u20056)), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint), skolem527(_u20058, _u20057, _u20056)), c_Groups_Oone__class_Oone(tc_Int_Oint)))) )).
% 43.40/43.65 cnf(matrix-8048, 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), _u20056), _u20057))) | hBOOL(hAPP(hAPP(_u20058, _u20056), _u20057)) | ~hBOOL(hAPP(hAPP(_u20058, skolem526(_u20058, _u20057, _u20056)), skolem527(_u20058, _u20057, _u20056))) )).
% 43.40/43.65 cnf(matrix-8049, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20059)), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20059, _u20060, _u20061)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20059)), _u20061)), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-8050, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20069, _u20071) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20073, _u20075)) | ( _u20069 = _u20073) )).
% 43.40/43.65 cnf(matrix-8051, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20069, _u20071) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20067, _u20073, _u20075)) | ( _u20071 = _u20075) )).
% 43.40/43.65 cnf(matrix-8052, plain, ( ( _u20070 != _u20074) | ( _u20072 != _u20076) | ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20068, _u20070, _u20072) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20068, _u20074, _u20076)) )).
% 43.40/43.65 cnf(matrix-8053, plain, ( ( c_Lazy__Sequence_Oappend(_u20077, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20077, _u20078, _u20079), _u20080) = c_Lazy__Sequence_Olazy__sequence_OInsert(_u20077, _u20078, c_Lazy__Sequence_Oappend(_u20077, _u20079, _u20080))) )).
% 43.40/43.65 cnf(matrix-8054, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20081, _u20082), c_Lazy__Sequence_Olazy__sequence_OInsert(_u20081, _u20083, _u20084)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20082, _u20083)), hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20081, _u20082), _u20084))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-8055, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20085)), _u20086) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20085, tc_Lazy__Sequence_Olazy__sequence(_u20085)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20085, tc_Lazy__Sequence_Olazy__sequence(_u20085), tc_Nat_Onat), hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20085), tc_Nat_Onat), _u20085), hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20085), 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(_u20085)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20085)))), c_Groups_Oone__class_Oone(tc_Nat_Onat)))), hAPP(c_Lazy__Sequence_Oyield(_u20085), _u20086))) )).
% 43.40/43.65 cnf(matrix-8056, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20087, _u20088), _u20089) = c_Option_Ooption_Ooption__case(tc_Nat_Onat, tc_prod(_u20087, tc_Lazy__Sequence_Olazy__sequence(_u20087)), c_Groups_Ozero__class_Ozero(tc_Nat_Onat), hAPP(c_Product__Type_Oprod_Oprod__case(_u20087, tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat), hAPP(hAPP(c_COMBC(_u20087, tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), tc_fun(tc_Nat_Onat, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat)), _u20087), c_COMBC(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat, tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_fun(tc_Nat_Onat, tc_Nat_Onat)), _u20087), hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_Lazy__Sequence_Olazy__sequence(_u20087)), c_Groups_Oplus__class_Oplus(tc_Nat_Onat))), hAPP(hAPP(c_COMBC(_u20087, tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat)), hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat, tc_Nat_Onat), tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat), tc_fun(tc_Lazy__Sequence_Olazy__sequence(_u20087), tc_Nat_Onat)), _u20087), c_COMBB(tc_Nat_Onat, tc_Nat_Onat, tc_Lazy__Sequence_Olazy__sequence(_u20087))), hAPP(hAPP(c_COMBB(tc_Nat_Onat, tc_fun(tc_Nat_Onat, tc_Nat_Onat), _u20087), c_Groups_Oplus__class_Oplus(tc_Nat_Onat)), _u20088))), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20087, _u20088))))), c_Groups_Oone__class_Oone(tc_Nat_Onat))), hAPP(c_Lazy__Sequence_Oyield(_u20087), _u20089))) )).
% 43.40/43.65 cnf(matrix-8057, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20090, _u20091, _u20092, _u20093, _u20094) = c_Option_Ooption_Ooption__case(_u20090, tc_prod(_u20091, tc_Lazy__Sequence_Olazy__sequence(_u20091)), _u20092, hAPP(c_Product__Type_Oprod_Oprod__case(_u20091, tc_Lazy__Sequence_Olazy__sequence(_u20091), _u20090), _u20093), hAPP(c_Lazy__Sequence_Oyield(_u20091), _u20094))) )).
% 43.40/43.65 cnf(matrix-8058, plain, ( ( c_Lazy__Sequence_Oyieldn(_u20095) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(_u20095), _u20095, c_Lazy__Sequence_Oyield(_u20095))) )).
% 43.40/43.65 cnf(matrix-8059, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20096, _u20097, _u20098, _u20099, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20097, _u20100, _u20101)) = hAPP(hAPP(_u20099, _u20100), _u20101)) )).
% 43.40/43.65 cnf(matrix-8060, plain, ( c_Relation_Orefl__on(_u20105, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20103, tc_fun(_u20105, tc_HOL_Obool)), _u20104), _u20106), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20103, tc_fun(tc_prod(_u20105, _u20105), tc_HOL_Obool)), _u20104), _u20107)) | hBOOL(hAPP(hAPP(c_member(_u20103), skolem528(_u20107, _u20106, _u20105, _u20104, _u20103)), _u20104)) )).
% 43.40/43.65 cnf(matrix-8061, plain, ( c_Relation_Orefl__on(_u20105, hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20103, tc_fun(_u20105, tc_HOL_Obool)), _u20104), _u20106), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20103, tc_fun(tc_prod(_u20105, _u20105), tc_HOL_Obool)), _u20104), _u20107)) | ~c_Relation_Orefl__on(_u20105, hAPP(_u20106, skolem528(_u20107, _u20106, _u20105, _u20104, _u20103)), hAPP(_u20107, skolem528(_u20107, _u20106, _u20105, _u20104, _u20103))) )).
% 43.40/43.65 cnf(matrix-8062, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20111), _u20113), hAPP(c_List_Oset(_u20111), _u20115))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20111), _u20115), _u20113)) )).
% 43.40/43.65 cnf(matrix-8063, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20112), _u20116), _u20114)) | hBOOL(hAPP(hAPP(c_member(_u20112), _u20114), hAPP(c_List_Oset(_u20112), _u20116))) )).
% 43.40/43.65 cnf(matrix-8064, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20117), c_List_Olist_ONil(_u20117)), _u20118)) )).
% 43.40/43.65 cnf(matrix-8065, plain, ( ( c_List_Omember(_u20119) = c_List_Oset(_u20119)) )).
% 43.40/43.65 cnf(matrix-8066, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20124), hAPP(hAPP(c_List_Olist_OCons(_u20124), _u20126), _u20128)), _u20130)) | ( _u20126 = _u20130) | hBOOL(hAPP(hAPP(c_List_Omember(_u20124), _u20128), _u20130)) )).
% 43.40/43.65 cnf(matrix-8067, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20125), hAPP(hAPP(c_List_Olist_OCons(_u20125), _u20127), _u20129)), _u20131)) | ( _u20127 != _u20131) )).
% 43.40/43.65 cnf(matrix-8068, plain, ( hBOOL(hAPP(hAPP(c_List_Omember(_u20125), hAPP(hAPP(c_List_Olist_OCons(_u20125), _u20127), _u20129)), _u20131)) | ~hBOOL(hAPP(hAPP(c_List_Omember(_u20125), _u20129), _u20131)) )).
% 43.40/43.65 cnf(matrix-8069, plain, ( ~hBOOL(hAPP(hAPP(c_List_Omember(_u20135), _u20137), _u20139)) | hBOOL(hAPP(hAPP(c_member(_u20135), _u20139), hAPP(c_List_Oset(_u20135), _u20137))) )).
% 43.40/43.65 cnf(matrix-8070, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20136), _u20140), hAPP(c_List_Oset(_u20136), _u20138))) | hBOOL(hAPP(hAPP(c_List_Omember(_u20136), _u20138), _u20140)) )).
% 43.40/43.65 cnf(matrix-8071, plain, ( ( c_Nitpick_Opair__box_Opair__box__size(_u20141, _u20142, _u20143, _u20144, c_Nitpick_Opair__box_OPairBox(_u20141, _u20142, _u20145, _u20146)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat), hAPP(_u20143, _u20145)), hAPP(_u20144, _u20146))), hAPP(c_Nat_OSuc, c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) )).
% 43.40/43.65 cnf(matrix-8072, plain, ( ~c_List_Olist__ex1(_u20154, _u20156, _u20158) | hBOOL(hAPP(hAPP(c_member(_u20154), skolem529(_u20158, _u20156, _u20154)), hAPP(c_List_Oset(_u20154), _u20158))) )).
% 43.40/43.65 cnf(matrix-8073, plain, ( ~c_List_Olist__ex1(_u20154, _u20156, _u20158) | hBOOL(hAPP(_u20156, skolem529(_u20158, _u20156, _u20154))) )).
% 43.40/43.65 cnf(matrix-8074, plain, ( ~c_List_Olist__ex1(_u20154, _u20156, _u20158) | ~hBOOL(hAPP(hAPP(c_member(_u20154), _u20147), hAPP(c_List_Oset(_u20154), _u20158))) | ~hBOOL(hAPP(_u20156, _u20147)) | ( _u20147 = skolem529(_u20158, _u20156, _u20154)) )).
% 43.40/43.65 cnf(matrix-8075, plain, ( c_List_Olist__ex1(_u20155, _u20157, _u20159) | ~hBOOL(hAPP(hAPP(c_member(_u20155), _u20150), hAPP(c_List_Oset(_u20155), _u20159))) | ~hBOOL(hAPP(_u20157, _u20150)) | hBOOL(hAPP(hAPP(c_member(_u20155), skolem530(_u20159, _u20157, _u20155, _u20150)), hAPP(c_List_Oset(_u20155), _u20159))) )).
% 43.40/43.65 cnf(matrix-8076, plain, ( c_List_Olist__ex1(_u20155, _u20157, _u20159) | ~hBOOL(hAPP(hAPP(c_member(_u20155), _u20150), hAPP(c_List_Oset(_u20155), _u20159))) | ~hBOOL(hAPP(_u20157, _u20150)) | hBOOL(hAPP(_u20157, skolem530(_u20159, _u20157, _u20155, _u20150))) )).
% 43.40/43.65 cnf(matrix-8077, plain, ( c_List_Olist__ex1(_u20155, _u20157, _u20159) | ~hBOOL(hAPP(hAPP(c_member(_u20155), _u20150), hAPP(c_List_Oset(_u20155), _u20159))) | ~hBOOL(hAPP(_u20157, _u20150)) | ( skolem530(_u20159, _u20157, _u20155, _u20150) != _u20150) )).
% 43.40/43.65 cnf(matrix-8078, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u20166, _u20168, _u20170, _u20172) != c_Nitpick_Opair__box_OPairBox(_u20166, _u20168, _u20174, _u20176)) | ( _u20170 = _u20174) )).
% 43.40/43.65 cnf(matrix-8079, plain, ( ( c_Nitpick_Opair__box_OPairBox(_u20166, _u20168, _u20170, _u20172) != c_Nitpick_Opair__box_OPairBox(_u20166, _u20168, _u20174, _u20176)) | ( _u20172 = _u20176) )).
% 43.40/43.65 cnf(matrix-8080, plain, ( ( _u20171 != _u20175) | ( _u20173 != _u20177) | ( c_Nitpick_Opair__box_OPairBox(_u20167, _u20169, _u20171, _u20173) = c_Nitpick_Opair__box_OPairBox(_u20167, _u20169, _u20175, _u20177)) )).
% 43.40/43.65 cnf(matrix-8081, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Nitpick_Opair__box(_u20178, _u20179)), c_Nitpick_Opair__box_OPairBox(_u20178, _u20179, _u20180, _u20181)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-8082, plain, ( ( c_Nitpick_Opair__box_Opair__box__case(_u20182, _u20183, _u20184, _u20185, c_Nitpick_Opair__box_OPairBox(_u20182, _u20183, _u20186, _u20187)) = hAPP(hAPP(_u20185, _u20186), _u20187)) )).
% 43.40/43.65 cnf(matrix-8083, plain, ( ( c_Nitpick_Opair__box_Opair__box__rec(_u20188, _u20189, _u20190, _u20191, c_Nitpick_Opair__box_OPairBox(_u20188, _u20189, _u20192, _u20193)) = hAPP(hAPP(_u20191, _u20192), _u20193)) )).
% 43.40/43.65 cnf(matrix-8084, plain, ( ( c_FunDef_OTHE__default(_u20203, _u20205, _u20201) = c_HOL_OThe(_u20203, _u20201)) | ~hBOOL(hAPP(_u20201, _u20195)) | hBOOL(hAPP(_u20201, skolem531(_u20205, _u20203, _u20201, _u20195))) )).
% 43.40/43.65 cnf(matrix-8085, plain, ( ( c_FunDef_OTHE__default(_u20203, _u20205, _u20201) = c_HOL_OThe(_u20203, _u20201)) | ~hBOOL(hAPP(_u20201, _u20195)) | ( skolem531(_u20205, _u20203, _u20201, _u20195) != _u20195) )).
% 43.40/43.65 cnf(matrix-8086, plain, ( ( c_FunDef_OTHE__default(_u20204, _u20206, _u20202) = _u20206) | hBOOL(hAPP(_u20202, skolem532(_u20206, _u20204, _u20202))) )).
% 43.40/43.65 cnf(matrix-8087, plain, ( ( c_FunDef_OTHE__default(_u20204, _u20206, _u20202) = _u20206) | ~hBOOL(hAPP(_u20202, _u20196)) | ( _u20196 = skolem532(_u20206, _u20204, _u20202)) )).
% 43.40/43.65 cnf(matrix-8088, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem534(_u20214, _u20213, _u20212, _u20211)), _u20213)) )).
% 43.40/43.65 cnf(matrix-8089, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem535(_u20214, _u20213, _u20212, _u20211)), _u20213)) )).
% 43.40/43.65 cnf(matrix-8090, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | ( skolem534(_u20214, _u20213, _u20212, _u20211) != skolem535(_u20214, _u20213, _u20212, _u20211)) )).
% 43.40/43.65 cnf(matrix-8091, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(_u20212), skolem536(_u20214, _u20213, _u20212, _u20211)), skolem534(_u20214, _u20213, _u20212, _u20211))) )).
% 43.40/43.65 cnf(matrix-8092, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(_u20212), skolem536(_u20214, _u20213, _u20212, _u20211)), skolem535(_u20214, _u20213, _u20212, _u20211))) )).
% 43.40/43.65 cnf(matrix-8093, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem533(_u20214, _u20213, _u20212, _u20211)), _u20213)) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | ( hAPP(_u20214, skolem536(_u20214, _u20213, _u20212, _u20211)) != c_Groups_Ozero__class_Ozero(_u20211)) )).
% 43.40/43.65 cnf(matrix-8094, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem534(_u20214, _u20213, _u20212, _u20211)), _u20213)) )).
% 43.40/43.65 cnf(matrix-8095, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20212, tc_HOL_Obool)), skolem535(_u20214, _u20213, _u20212, _u20211)), _u20213)) )).
% 43.40/43.65 cnf(matrix-8096, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | ( skolem534(_u20214, _u20213, _u20212, _u20211) != skolem535(_u20214, _u20213, _u20212, _u20211)) )).
% 43.40/43.65 cnf(matrix-8097, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(_u20212), skolem536(_u20214, _u20213, _u20212, _u20211)), skolem534(_u20214, _u20213, _u20212, _u20211))) )).
% 43.40/43.65 cnf(matrix-8098, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | hBOOL(hAPP(hAPP(c_member(_u20212), skolem536(_u20214, _u20213, _u20212, _u20211)), skolem535(_u20214, _u20213, _u20212, _u20211))) )).
% 43.40/43.65 cnf(matrix-8099, plain, ( ~class_Groups_Ocomm__monoid__add(_u20211) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(_u20212, tc_HOL_Obool)), _u20213)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20212), skolem533(_u20214, _u20213, _u20212, _u20211))) | ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214), c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20212, tc_HOL_Obool), _u20213)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(_u20212, tc_HOL_Obool), _u20211), hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(_u20212, _u20211), _u20214)), _u20213)) | ( hAPP(_u20214, skolem536(_u20214, _u20213, _u20212, _u20211)) != c_Groups_Ozero__class_Ozero(_u20211)) )).
% 43.40/43.65 cnf(matrix-8100, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20216, tc_fun(_u20221, tc_fun(_u20222, tc_HOL_Obool))), _u20217), _u20218), _u20219), _u20220)) | hBOOL(hAPP(hAPP(c_member(_u20216), skolem537(_u20222, _u20221, _u20220, _u20219, _u20218, _u20217, _u20216)), _u20217)) )).
% 43.40/43.65 cnf(matrix-8101, plain, ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20216, tc_fun(_u20221, tc_fun(_u20222, tc_HOL_Obool))), _u20217), _u20218), _u20219), _u20220)) | ~hBOOL(hAPP(hAPP(hAPP(_u20218, skolem537(_u20222, _u20221, _u20220, _u20219, _u20218, _u20217, _u20216)), _u20219), _u20220)) )).
% 43.40/43.65 cnf(matrix-8102, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20224, tc_fun(_u20225, tc_fun(_u20226, tc_HOL_Obool))), _u20227), _u20228), _u20229), _u20230)) | hBOOL(hAPP(hAPP(c_member(_u20224), skolem538(_u20230, _u20229, _u20228, _u20227, _u20226, _u20225, _u20224)), _u20227)) )).
% 43.40/43.65 cnf(matrix-8103, plain, ( ~hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20224, tc_fun(_u20225, tc_fun(_u20226, tc_HOL_Obool))), _u20227), _u20228), _u20229), _u20230)) | hBOOL(hAPP(hAPP(hAPP(_u20228, skolem538(_u20230, _u20229, _u20228, _u20227, _u20226, _u20225, _u20224)), _u20229), _u20230)) )).
% 43.40/43.65 cnf(matrix-8104, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(_u20233)), _u20234)) | ~hBOOL(hAPP(hAPP(c_member(tc_List_Olist(_u20233)), _u20231), _u20234)) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat), hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(_u20233)), _u20231)), skolem539(_u20234, _u20233))) )).
% 43.40/43.65 cnf(matrix-8105, plain, ( ( hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(_u20235, _u20236), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20235)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-8106, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(_u20237, _u20238, _u20239, _u20240, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20238)) = _u20239) )).
% 43.40/43.65 cnf(matrix-8107, plain, ( ( c_Lazy__Sequence_Oappend(_u20241, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20241), _u20242) = _u20242) )).
% 43.40/43.65 cnf(matrix-8108, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20243) != c_Lazy__Sequence_Olazy__sequence_OInsert(_u20243, _u20244, _u20245)) )).
% 43.40/43.65 cnf(matrix-8109, plain, ( ( c_Lazy__Sequence_Olazy__sequence_OInsert(_u20246, _u20247, _u20248) != c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20246)) )).
% 43.40/43.65 cnf(matrix-8110, plain, ( ( hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20249)), c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20249)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) )).
% 43.40/43.65 cnf(matrix-8111, plain, ( ~c_List_Olist__all(tc_Int_Oint, _u20253, c_List_Oupto(_u20255, _u20257)) | c_List_Oall__interval__int(_u20253, _u20255, _u20257) )).
% 43.40/43.65 cnf(matrix-8112, plain, ( ~c_List_Oall__interval__int(_u20254, _u20256, _u20258) | c_List_Olist__all(tc_Int_Oint, _u20254, c_List_Oupto(_u20256, _u20258)) )).
% 43.40/43.65 cnf(matrix-8113, plain, ( ~c_List_Olist__ex(tc_Int_Oint, _u20262, c_List_Oupto(_u20264, _u20266)) | ~c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20262), _u20264, _u20266) )).
% 43.40/43.65 cnf(matrix-8114, plain, ( c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool, tc_HOL_Obool, tc_Int_Oint, c_fNot), _u20263), _u20265, _u20267) | c_List_Olist__ex(tc_Int_Oint, _u20263, c_List_Oupto(_u20265, _u20267)) )).
% 43.40/43.65 cnf(matrix-8115, plain, ( ~c_List_Oall__interval__int(_u20273, _u20275, _u20277) | ~hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), _u20268), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20275, _u20277))) | hBOOL(hAPP(_u20273, _u20268)) )).
% 43.40/43.65 cnf(matrix-8116, plain, ( c_List_Oall__interval__int(_u20274, _u20276, _u20278) | hBOOL(hAPP(hAPP(c_member(tc_Int_Oint), skolem540(_u20278, _u20276, _u20274)), c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint, _u20276, _u20278))) )).
% 43.40/43.65 cnf(matrix-8117, plain, ( c_List_Oall__interval__int(_u20274, _u20276, _u20278) | ~hBOOL(hAPP(_u20274, skolem540(_u20278, _u20276, _u20274))) )).
% 43.40/43.65 cnf(matrix-8118, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20279, _u20280, _u20281, c_Code__Numeral_OSuc__code__numeral(_u20282)) = hAPP(hAPP(_u20281, _u20282), c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20279, _u20280, _u20281, _u20282))) )).
% 43.40/43.65 cnf(matrix-8119, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20287), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20289, _u20291, _u20287, _u20293) = 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(_u20289)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20289))) )).
% 43.40/43.65 cnf(matrix-8120, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral), _u20288), c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))) | ( c_Random__Sequence_ORandom(_u20290, _u20292, _u20288, _u20294) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral), tc_prod(_u20290, 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(_u20290)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), hAPP(_u20292, _u20294)), 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(_u20290)))), 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(_u20290)))), 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(_u20290)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), tc_prod(_u20290, 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(_u20290)))), 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(_u20290)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))), c_Random__Sequence_ORandom(_u20290, _u20292, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral), _u20288), c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)), _u20294))), 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(_u20290)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290))))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290)))), 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(_u20290)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)))), tc_prod(_u20290, 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(_u20290)))), 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(_u20290)))), 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(_u20290))))), c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290)))), 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(_u20290)))), tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290)))), tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290))))), tc_prod(_u20290, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Ounion(_u20290)), hAPP(hAPP(c_COMBB(_u20290, tc_fun(tc_Code__Numeral_Ocode__numeral, tc_fun(tc_HOL_Obool, tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(_u20290)))), tc_prod(_u20290, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm))), c_DSequence_Osingle(_u20290)), c_Product__Type_Ofst(_u20290, tc_fun(tc_Product__Type_Ounit, tc_Code__Evaluation_Oterm)))))))) )).
% 43.40/43.65 cnf(matrix-8121, plain, ( ( c_Code__Numeral_Ocode__numeral_Ocode__numeral__rec(_u20295, _u20296, _u20297, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = _u20296) )).
% 43.40/43.65 cnf(matrix-8122, plain, ( ( c_Random__Sequence_Oempty(_u20298, _u20299, _u20300) = 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(_u20298)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), c_DSequence_Oempty(_u20298))) )).
% 43.40/43.65 cnf(matrix-8123, plain, ( ( hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(_u20301), _u20302), _u20303), _u20304) = 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(_u20301)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral)), hAPP(c_DSequence_Osingle(_u20301), _u20302))) )).
% 43.40/43.65 cnf(matrix-8124, plain, ( ( c_Random__Sequence_Omap(_u20305, _u20306, _u20307, _u20308) = c_Random__Sequence_Obind(_u20305, _u20306, _u20308, hAPP(c_Fun_Ocomp(_u20306, 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(_u20306)))), tc_prod(tc_Code__Numeral_Ocode__numeral, tc_Code__Numeral_Ocode__numeral))))), _u20305, c_Random__Sequence_Osingle(_u20306)), _u20307))) )).
% 43.40/43.65 cnf(matrix-8125, plain, ( ~hBOOL(hAPP(hAPP(_u20311, hAPP(c_Product__Type_Osnd(_u20312, _u20313), _u20314)), hAPP(c_Product__Type_Ofst(_u20312, _u20313), _u20314))) | hBOOL(hAPP(_u20315, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20312, _u20313, _u20317), _u20316), _u20314))) | hBOOL(hAPP(hAPP(_u20311, skolem542(_u20317, _u20316, _u20315, _u20314, _u20313, _u20312, _u20311)), skolem541(_u20317, _u20316, _u20315, _u20314, _u20313, _u20312, _u20311))) )).
% 43.40/43.65 cnf(matrix-8126, plain, ( ~hBOOL(hAPP(hAPP(_u20311, hAPP(c_Product__Type_Osnd(_u20312, _u20313), _u20314)), hAPP(c_Product__Type_Ofst(_u20312, _u20313), _u20314))) | hBOOL(hAPP(_u20315, hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(_u20312, _u20313, _u20317), _u20316), _u20314))) | ~hBOOL(hAPP(_u20315, hAPP(hAPP(_u20316, skolem541(_u20317, _u20316, _u20315, _u20314, _u20313, _u20312, _u20311)), skolem542(_u20317, _u20316, _u20315, _u20314, _u20313, _u20312, _u20311)))) )).
% 43.40/43.65 cnf(matrix-8127, plain, ( ( hAPP(c_Relation_OImage(_u20318, _u20319, hAPP(c_Set_OCollect(tc_prod(_u20318, _u20319)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20318, _u20319, tc_HOL_Obool), _u20320))), _u20321) = hAPP(c_Set_OCollect(_u20319), hAPP(hAPP(c_COMBB(tc_fun(_u20318, tc_HOL_Obool), tc_HOL_Obool, _u20319), c_HOL_OEx(_u20318)), hAPP(hAPP(c_COMBB(tc_fun(_u20318, tc_HOL_Obool), tc_fun(_u20318, tc_HOL_Obool), _u20319), hAPP(c_COMBS(_u20318, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20318), c_fconj), hAPP(hAPP(c_COMBC(_u20318, tc_fun(_u20318, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20318)), _u20321)))), hAPP(c_COMBC(_u20318, _u20319, tc_HOL_Obool), _u20320))))) )).
% 43.40/43.65 cnf(matrix-8128, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20322), tc_List_Olist(_u20322))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20322), tc_List_Olist(_u20322)), _u20323), _u20324)), c_List_Olexord(_u20322, _u20325))) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20322), tc_List_Olist(_u20322))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20322), tc_List_Olist(_u20322)), _u20324), _u20326)), c_List_Olexord(_u20322, _u20325))) | ~c_Relation_Otrans(_u20322, _u20325) | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(_u20322), tc_List_Olist(_u20322))), hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(_u20322), tc_List_Olist(_u20322)), _u20323), _u20326)), c_List_Olexord(_u20322, _u20325))) )).
% 43.40/43.65 cnf(matrix-8129, plain, ( c_Relation_Otrans(tc_Nat_Onat, c_Wellfounded_Oless__than) )).
% 43.40/43.65 cnf(matrix-8130, plain, ( ~c_Relation_Otrans(_u20327, _u20328) | ~c_Relation_Otrans(_u20329, _u20330) | c_Relation_Otrans(tc_prod(_u20327, _u20329), c_Wellfounded_Olex__prod(_u20327, _u20329, _u20328, _u20330)) )).
% 43.40/43.65 cnf(matrix-8131, plain, ( ~c_Relation_Otrans(_u20331, _u20332) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20331, _u20331)), hAPP(hAPP(c_Product__Type_OPair(_u20331, _u20331), _u20333), _u20334)), _u20332)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20331, _u20331)), hAPP(hAPP(c_Product__Type_OPair(_u20331, _u20331), _u20334), _u20335)), _u20332)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20331, _u20331)), hAPP(hAPP(c_Product__Type_OPair(_u20331, _u20331), _u20333), _u20335)), _u20332)) )).
% 43.40/43.65 cnf(matrix-8132, plain, ( ~c_Relation_Otrans(_u20344, _u20346) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), _u20338), _u20337)), _u20346)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), _u20337), _u20336)), _u20346)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20344, _u20344)), hAPP(hAPP(c_Product__Type_OPair(_u20344, _u20344), _u20338), _u20336)), _u20346)) )).
% 43.40/43.65 cnf(matrix-8133, plain, ( c_Relation_Otrans(_u20345, _u20347) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20345, _u20345)), hAPP(hAPP(c_Product__Type_OPair(_u20345, _u20345), skolem543(_u20347, _u20345)), skolem544(_u20347, _u20345))), _u20347)) )).
% 43.40/43.65 cnf(matrix-8134, plain, ( c_Relation_Otrans(_u20345, _u20347) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20345, _u20345)), hAPP(hAPP(c_Product__Type_OPair(_u20345, _u20345), skolem544(_u20347, _u20345)), skolem545(_u20347, _u20345))), _u20347)) )).
% 43.40/43.65 cnf(matrix-8135, plain, ( c_Relation_Otrans(_u20345, _u20347) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20345, _u20345)), hAPP(hAPP(c_Product__Type_OPair(_u20345, _u20345), skolem543(_u20347, _u20345)), skolem545(_u20347, _u20345))), _u20347)) )).
% 43.40/43.65 cnf(matrix-8136, plain, ( ~c_Relation_Otrans(_u20348, _u20349) | c_Relation_Otrans(_u20350, hAPP(hAPP(c_Relation_Oinv__image(_u20348, _u20350), _u20349), _u20351)) )).
% 43.40/43.65 cnf(matrix-8137, plain, ( ~c_Relation_Otrans(_u20352, _u20353) | c_Relation_Otrans(_u20352, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20352, _u20352), tc_HOL_Obool)), _u20353), c_Relation_OId(_u20352))) )).
% 43.40/43.65 cnf(matrix-8138, plain, ( ( c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20354, tc_HOL_Obool) = c_Set_OBex(_u20354)) )).
% 43.40/43.65 cnf(matrix-8139, plain, ( hBOOL(hAPP(_u20363, skolem546(_u20363))) | ~hBOOL(hAPP(hAPP(c_member(_u20361), _u20355), c_Orderings_Otop__class_Otop(tc_fun(_u20361, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20363, _u20355)) )).
% 43.40/43.65 cnf(matrix-8140, plain, ( ~hBOOL(hAPP(_u20364, _u20357)) | hBOOL(hAPP(hAPP(c_member(_u20362), skolem547(_u20364, _u20362)), c_Orderings_Otop__class_Otop(tc_fun(_u20362, tc_HOL_Obool)))) )).
% 43.40/43.65 cnf(matrix-8141, plain, ( ~hBOOL(hAPP(_u20364, _u20357)) | hBOOL(hAPP(_u20364, skolem547(_u20364, _u20362))) )).
% 43.40/43.65 cnf(matrix-8142, plain, ( c_Relation_Otrans(_u20365, c_Transitive__Closure_Ortrancl(_u20365, _u20366)) )).
% 43.40/43.65 cnf(matrix-8143, plain, ( ~c_Relation_Otrans(_u20367, _u20368) | c_Relation_Otrans(tc_List_Olist(_u20367), c_List_Olexord(_u20367, _u20368)) )).
% 43.40/43.65 cnf(matrix-8144, plain, ( c_Relation_Otrans(_u20369, c_Relation_OId__on(_u20369, _u20370)) )).
% 43.40/43.65 cnf(matrix-8145, plain, ( ~c_Relation_Otrans(_u20371, _u20372) | ( c_Transitive__Closure_Otrancl(_u20371, _u20372) = _u20372) )).
% 43.40/43.65 cnf(matrix-8146, plain, ( c_Relation_Otrans(_u20373, c_Transitive__Closure_Otrancl(_u20373, _u20374)) )).
% 43.40/43.65 cnf(matrix-8147, plain, ( c_Relation_Otrans(_u20375, c_Relation_OId(_u20375)) )).
% 43.40/43.65 cnf(matrix-8148, plain, ( c_Relation_Otrans(tc_fun(_u20376, tc_HOL_Obool), c_Wellfounded_Ofinite__psubset(_u20376)) )).
% 43.40/43.65 cnf(matrix-8149, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20378), _u20377), c_Orderings_Obot__class_Obot(tc_fun(_u20378, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20379, _u20377)) )).
% 43.40/43.65 cnf(matrix-8150, plain, ( ~c_Relation_Otrans(_u20380, _u20381) | c_Relation_Otrans(tc_List_Olist(_u20380), c_List_Olistrel(_u20380, _u20381)) )).
% 43.40/43.65 cnf(matrix-8151, plain, ( ~c_Relation_Otrans(_u20384, hAPP(c_Relation_Oconverse(_u20384, _u20384), _u20386)) | c_Relation_Otrans(_u20384, _u20386) )).
% 43.40/43.65 cnf(matrix-8152, plain, ( ~c_Relation_Otrans(_u20385, _u20387) | c_Relation_Otrans(_u20385, hAPP(c_Relation_Oconverse(_u20385, _u20385), _u20387)) )).
% 43.40/43.65 cnf(matrix-8153, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20390), _u20391)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool, _u20392), c_HOL_OEx(_u20390)), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_fun(_u20390, tc_HOL_Obool), _u20392), hAPP(c_COMBS(_u20390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20390), c_fconj), hAPP(hAPP(c_COMBC(_u20390, tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20390)), _u20391)))), _u20393))))) | ~hBOOL(hAPP(hAPP(c_member(_u20390), _u20388), _u20391)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBC(_u20392, _u20390, tc_HOL_Obool), _u20393), _u20388)))) )).
% 43.40/43.65 cnf(matrix-8154, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20390), _u20391)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool, _u20392), c_HOL_OEx(_u20390)), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_fun(_u20390, tc_HOL_Obool), _u20392), hAPP(c_COMBS(_u20390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20390), c_fconj), hAPP(hAPP(c_COMBC(_u20390, tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20390)), _u20391)))), _u20393))))) | hBOOL(hAPP(hAPP(c_member(_u20390), skolem548(_u20393, _u20392, _u20391, _u20390)), _u20391)) )).
% 43.40/43.66 cnf(matrix-8155, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20390), _u20391)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool, _u20392), c_HOL_OEx(_u20390)), hAPP(hAPP(c_COMBB(tc_fun(_u20390, tc_HOL_Obool), tc_fun(_u20390, tc_HOL_Obool), _u20392), hAPP(c_COMBS(_u20390, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20390), c_fconj), hAPP(hAPP(c_COMBC(_u20390, tc_fun(_u20390, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20390)), _u20391)))), _u20393))))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20392), hAPP(c_Set_OCollect(_u20392), hAPP(hAPP(c_COMBC(_u20392, _u20390, tc_HOL_Obool), _u20393), skolem548(_u20393, _u20392, _u20391, _u20390))))) )).
% 43.40/43.66 cnf(matrix-8156, plain, ( ~c_Relation_Otrans(_u20394, _u20395) | ~c_Relation_Otrans(_u20394, _u20396) | c_Relation_Otrans(_u20394, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20394, _u20394), tc_HOL_Obool)), _u20395), _u20396)) )).
% 43.40/43.66 cnf(matrix-8157, plain, ( ~c_Relation_Otrans(_u20397, _u20398) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20397, _u20397), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20397, _u20397, _u20397), _u20398), _u20398)), _u20398)) )).
% 43.40/43.66 cnf(matrix-8158, plain, ( ( c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20399, tc_HOL_Obool), _u20400) = hAPP(c_Set_OCollect(_u20399), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20399, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool, _u20399), c_HOL_OEx(tc_fun(_u20399, tc_HOL_Obool))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20399, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20399, tc_HOL_Obool), tc_HOL_Obool), _u20399), hAPP(c_COMBS(tc_fun(_u20399, 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(_u20399, tc_HOL_Obool)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20399, tc_HOL_Obool), tc_fun(tc_fun(_u20399, tc_HOL_Obool), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20399, tc_HOL_Obool))), _u20400)))), c_member(_u20399))))) )).
% 43.40/43.66 cnf(matrix-8159, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20401, tc_fun(_u20402, tc_HOL_Obool)), _u20403), _u20404) = c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20402, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20402, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20401, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20402, tc_HOL_Obool)), c_HOL_OEx(_u20401)), hAPP(hAPP(c_COMBB(tc_fun(_u20401, tc_HOL_Obool), tc_fun(_u20401, tc_HOL_Obool), tc_fun(_u20402, tc_HOL_Obool)), hAPP(c_COMBS(_u20401, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20401), c_fconj), hAPP(hAPP(c_COMBC(_u20401, tc_fun(_u20401, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20401)), _u20403)))), hAPP(hAPP(c_COMBC(tc_fun(_u20402, tc_HOL_Obool), tc_fun(_u20401, tc_fun(_u20402, tc_HOL_Obool)), tc_fun(_u20401, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20402, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20401, tc_fun(_u20402, tc_HOL_Obool)), tc_fun(_u20401, tc_HOL_Obool)), tc_fun(_u20402, tc_HOL_Obool)), c_COMBB(tc_fun(_u20402, tc_HOL_Obool), tc_HOL_Obool, _u20401)), c_fequal)), _u20404)))))) )).
% 43.40/43.66 cnf(matrix-8160, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20410), _u20405), hAPP(c_List_Oset(_u20410), _u20412))) | ~hBOOL(hAPP(_u20414, _u20405)) | c_List_Olist__ex(_u20410, _u20414, _u20412) )).
% 43.40/43.66 cnf(matrix-8161, plain, ( ~c_List_Olist__ex(_u20411, _u20415, _u20413) | hBOOL(hAPP(hAPP(c_member(_u20411), skolem549(_u20415, _u20413, _u20411)), hAPP(c_List_Oset(_u20411), _u20413))) )).
% 43.40/43.66 cnf(matrix-8162, plain, ( ~c_List_Olist__ex(_u20411, _u20415, _u20413) | hBOOL(hAPP(_u20415, skolem549(_u20415, _u20413, _u20411))) )).
% 43.40/43.66 cnf(matrix-8163, plain, ( ~c_List_Olist__ex(_u20421, _u20423, _u20425) | hBOOL(hAPP(hAPP(c_member(_u20421), skolem550(_u20425, _u20423, _u20421)), hAPP(c_List_Oset(_u20421), _u20425))) )).
% 43.40/43.66 cnf(matrix-8164, plain, ( ~c_List_Olist__ex(_u20421, _u20423, _u20425) | hBOOL(hAPP(_u20423, skolem550(_u20425, _u20423, _u20421))) )).
% 43.40/43.66 cnf(matrix-8165, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20422), _u20417), hAPP(c_List_Oset(_u20422), _u20426))) | ~hBOOL(hAPP(_u20424, _u20417)) | c_List_Olist__ex(_u20422, _u20424, _u20426) )).
% 43.40/43.66 cnf(matrix-8166, plain, ( ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20427, tc_fun(_u20428, tc_HOL_Obool)), _u20429), _u20430) = c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20428, tc_HOL_Obool), hAPP(c_Set_OCollect(tc_fun(_u20428, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20427, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20428, tc_HOL_Obool)), c_HOL_OEx(_u20427)), hAPP(hAPP(c_COMBB(tc_fun(_u20427, tc_HOL_Obool), tc_fun(_u20427, tc_HOL_Obool), tc_fun(_u20428, tc_HOL_Obool)), hAPP(c_COMBS(_u20427, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20427), c_fconj), hAPP(hAPP(c_COMBC(_u20427, tc_fun(_u20427, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20427)), _u20429)))), hAPP(hAPP(c_COMBC(tc_fun(_u20428, tc_HOL_Obool), tc_fun(_u20427, tc_fun(_u20428, tc_HOL_Obool)), tc_fun(_u20427, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20428, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20427, tc_fun(_u20428, tc_HOL_Obool)), tc_fun(_u20427, tc_HOL_Obool)), tc_fun(_u20428, tc_HOL_Obool)), c_COMBB(tc_fun(_u20428, tc_HOL_Obool), tc_HOL_Obool, _u20427)), c_fequal)), _u20430)))))) )).
% 43.40/43.66 cnf(matrix-8167, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20431) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20432, _u20431), _u20433), _u20434) = c_Complete__Lattice_OSup__class_OSup(_u20431, hAPP(c_Set_OCollect(_u20431), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool), tc_HOL_Obool, _u20431), c_HOL_OEx(tc_fun(_u20432, _u20431))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool), tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool), _u20431), hAPP(c_COMBS(tc_fun(_u20432, _u20431), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20432, _u20431)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20432, _u20431), tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20432, _u20431))), _u20433)))), hAPP(hAPP(c_COMBC(_u20431, tc_fun(tc_fun(_u20432, _u20431), _u20431), tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20431, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20432, _u20431), _u20431), tc_fun(tc_fun(_u20432, _u20431), tc_HOL_Obool)), _u20431), c_COMBB(_u20431, tc_HOL_Obool, tc_fun(_u20432, _u20431))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20432, _u20431), _u20432, _u20431), c_COMBI(tc_fun(_u20432, _u20431))), _u20434))))))) )).
% 43.40/43.66 cnf(matrix-8168, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20435) | ( hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(_u20436, _u20435), _u20437), _u20438) = c_Complete__Lattice_OSup__class_OSup(_u20435, hAPP(c_Set_OCollect(_u20435), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool), tc_HOL_Obool, _u20435), c_HOL_OEx(tc_fun(_u20436, _u20435))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool), tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool), _u20435), hAPP(c_COMBS(tc_fun(_u20436, _u20435), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20436, _u20435)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20436, _u20435), tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20436, _u20435))), _u20437)))), hAPP(hAPP(c_COMBC(_u20435, tc_fun(tc_fun(_u20436, _u20435), _u20435), tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20435, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20436, _u20435), _u20435), tc_fun(tc_fun(_u20436, _u20435), tc_HOL_Obool)), _u20435), c_COMBB(_u20435, tc_HOL_Obool, tc_fun(_u20436, _u20435))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20436, _u20435), _u20436, _u20435), c_COMBI(tc_fun(_u20436, _u20435))), _u20438))))))) )).
% 43.40/43.66 cnf(matrix-8169, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20439) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20440, _u20439), _u20441), _u20442) = c_Complete__Lattice_OInf__class_OInf(_u20439, hAPP(c_Set_OCollect(_u20439), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool), tc_HOL_Obool, _u20439), c_HOL_OEx(tc_fun(_u20440, _u20439))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool), tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool), _u20439), hAPP(c_COMBS(tc_fun(_u20440, _u20439), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20440, _u20439)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20440, _u20439), tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20440, _u20439))), _u20441)))), hAPP(hAPP(c_COMBC(_u20439, tc_fun(tc_fun(_u20440, _u20439), _u20439), tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20439, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20440, _u20439), _u20439), tc_fun(tc_fun(_u20440, _u20439), tc_HOL_Obool)), _u20439), c_COMBB(_u20439, tc_HOL_Obool, tc_fun(_u20440, _u20439))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20440, _u20439), _u20440, _u20439), c_COMBI(tc_fun(_u20440, _u20439))), _u20442))))))) )).
% 43.40/43.66 cnf(matrix-8170, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20443) | ( hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(_u20444, _u20443), _u20445), _u20446) = c_Complete__Lattice_OInf__class_OInf(_u20443, hAPP(c_Set_OCollect(_u20443), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool), tc_HOL_Obool, _u20443), c_HOL_OEx(tc_fun(_u20444, _u20443))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool), tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool), _u20443), hAPP(c_COMBS(tc_fun(_u20444, _u20443), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20444, _u20443)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20444, _u20443), tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20444, _u20443))), _u20445)))), hAPP(hAPP(c_COMBC(_u20443, tc_fun(tc_fun(_u20444, _u20443), _u20443), tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20443, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20444, _u20443), _u20443), tc_fun(tc_fun(_u20444, _u20443), tc_HOL_Obool)), _u20443), c_COMBB(_u20443, tc_HOL_Obool, tc_fun(_u20444, _u20443))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20444, _u20443), _u20444, _u20443), c_COMBI(tc_fun(_u20444, _u20443))), _u20446))))))) )).
% 43.40/43.66 cnf(matrix-8171, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20450)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20451)) | ( _u20451 = c_Orderings_Obot__class_Obot(tc_fun(_u20449, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20449, _u20452, _u20450, _u20451) | hBOOL(hAPP(hAPP(c_member(_u20449), skolem551(_u20452, _u20451, _u20450, _u20449)), _u20450)) )).
% 43.40/43.66 cnf(matrix-8172, plain, ( ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20450)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20449), _u20451)) | ( _u20451 = c_Orderings_Obot__class_Obot(tc_fun(_u20449, tc_HOL_Obool))) | c_Wellfounded_Omax__extp(_u20449, _u20452, _u20450, _u20451) | ~hBOOL(hAPP(hAPP(c_member(_u20449), _u20447), _u20451)) | ~hBOOL(hAPP(hAPP(_u20452, skolem551(_u20452, _u20451, _u20450, _u20449)), _u20447)) )).
% 43.40/43.66 cnf(matrix-8173, plain, ( ~c_Predicate_Otransp(_u20455, _u20457) | c_Relation_Otrans(_u20455, hAPP(c_Set_OCollect(tc_prod(_u20455, _u20455)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20455, _u20455, tc_HOL_Obool), _u20457))) )).
% 43.40/43.66 cnf(matrix-8174, plain, ( ~c_Relation_Otrans(_u20456, hAPP(c_Set_OCollect(tc_prod(_u20456, _u20456)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20456, _u20456, tc_HOL_Obool), _u20458))) | c_Predicate_Otransp(_u20456, _u20458) )).
% 43.40/43.66 cnf(matrix-8175, plain, ( ~hBOOL(hAPP(hAPP(_u20460, _u20461), _u20462)) | ~hBOOL(hAPP(hAPP(_u20460, _u20462), _u20463)) | hBOOL(hAPP(hAPP(_u20460, _u20461), _u20463)) | ~c_Predicate_Otransp(_u20459, _u20460) )).
% 43.40/43.66 cnf(matrix-8176, plain, ( ~c_Equiv__Relations_Oequivp(_u20464, _u20465) | c_Predicate_Oreflp(_u20464, _u20465) )).
% 43.40/43.66 cnf(matrix-8177, plain, ( ~c_Equiv__Relations_Oequivp(_u20464, _u20465) | c_Predicate_Osymp(_u20464, _u20465) )).
% 43.40/43.66 cnf(matrix-8178, plain, ( ~c_Equiv__Relations_Oequivp(_u20464, _u20465) | c_Predicate_Otransp(_u20464, _u20465) )).
% 43.40/43.66 cnf(matrix-8179, plain, ( ~c_Predicate_Oreflp(_u20466, _u20467) | ~c_Predicate_Osymp(_u20466, _u20467) | ~c_Predicate_Otransp(_u20466, _u20467) | c_Equiv__Relations_Oequivp(_u20466, _u20467) )).
% 43.40/43.66 cnf(matrix-8180, plain, ( ~hBOOL(hAPP(hAPP(_u20469, _u20470), _u20471)) | hBOOL(hAPP(hAPP(_u20469, _u20471), _u20470)) | ~c_Predicate_Osymp(_u20468, _u20469) )).
% 43.40/43.66 cnf(matrix-8181, plain, ( ~c_Equiv__Relations_Oequivp(_u20474, _u20476) | c_Predicate_Oreflp(_u20474, _u20476) )).
% 43.40/43.66 cnf(matrix-8182, plain, ( ~c_Equiv__Relations_Oequivp(_u20474, _u20476) | c_Predicate_Osymp(_u20474, _u20476) )).
% 43.40/43.66 cnf(matrix-8183, plain, ( ~c_Equiv__Relations_Oequivp(_u20474, _u20476) | c_Predicate_Otransp(_u20474, _u20476) )).
% 43.40/43.66 cnf(matrix-8184, plain, ( ~c_Predicate_Oreflp(_u20475, _u20477) | ~c_Predicate_Osymp(_u20475, _u20477) | ~c_Predicate_Otransp(_u20475, _u20477) | c_Equiv__Relations_Oequivp(_u20475, _u20477) )).
% 43.40/43.66 cnf(matrix-8185, plain, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20486), _u20490)) )).
% 43.40/43.66 cnf(matrix-8186, plain, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20486), _u20492)) )).
% 43.40/43.66 cnf(matrix-8187, plain, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | ( _u20492 != c_Orderings_Obot__class_Obot(tc_fun(_u20486, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8188, plain, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | ~hBOOL(hAPP(hAPP(c_member(_u20486), _u20479), _u20490)) | hBOOL(hAPP(hAPP(c_member(_u20486), skolem552(_u20492, _u20490, _u20488, _u20486, _u20479)), _u20492)) )).
% 43.40/43.66 cnf(matrix-8189, plain, ( ~c_Wellfounded_Omax__extp(_u20486, _u20488, _u20490, _u20492) | ~hBOOL(hAPP(hAPP(c_member(_u20486), _u20479), _u20490)) | hBOOL(hAPP(hAPP(_u20488, _u20479), skolem552(_u20492, _u20490, _u20488, _u20486, _u20479))) )).
% 43.40/43.66 cnf(matrix-8190, plain, ( c_Wellfounded_Omax__extp(_u20487, _u20489, _u20491, _u20493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20487), _u20491)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20487), _u20493)) | ( _u20493 = c_Orderings_Obot__class_Obot(tc_fun(_u20487, tc_HOL_Obool))) | hBOOL(hAPP(hAPP(c_member(_u20487), skolem553(_u20493, _u20491, _u20489, _u20487)), _u20491)) )).
% 43.40/43.66 cnf(matrix-8191, plain, ( c_Wellfounded_Omax__extp(_u20487, _u20489, _u20491, _u20493) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20487), _u20491)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20487), _u20493)) | ( _u20493 = c_Orderings_Obot__class_Obot(tc_fun(_u20487, tc_HOL_Obool))) | ~hBOOL(hAPP(hAPP(c_member(_u20487), _u20480), _u20493)) | ~hBOOL(hAPP(hAPP(_u20489, skolem553(_u20493, _u20491, _u20489, _u20487)), _u20480)) )).
% 43.40/43.66 cnf(matrix-8192, plain, ( ~c_Relation_Otrans(_u20494, _u20495) | ~c_Relation_Oantisym(_u20494, _u20495) | c_Relation_Otrans(_u20494, hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_prod(_u20494, _u20494), tc_HOL_Obool)), _u20495), c_Relation_OId(_u20494))) )).
% 43.40/43.66 cnf(matrix-8193, plain, ( ~c_Relation_Oantisym(_u20498, hAPP(c_Relation_Oconverse(_u20498, _u20498), _u20500)) | c_Relation_Oantisym(_u20498, _u20500) )).
% 43.40/43.66 cnf(matrix-8194, plain, ( ~c_Relation_Oantisym(_u20499, _u20501) | c_Relation_Oantisym(_u20499, hAPP(c_Relation_Oconverse(_u20499, _u20499), _u20501)) )).
% 43.40/43.66 cnf(matrix-8195, plain, ( c_Relation_Oantisym(_u20502, c_Orderings_Obot__class_Obot(tc_fun(tc_prod(_u20502, _u20502), tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8196, plain, ( c_Relation_Oantisym(_u20503, c_Relation_OId__on(_u20503, _u20504)) )).
% 43.40/43.66 cnf(matrix-8197, plain, ( c_Relation_Oantisym(_u20505, c_Relation_OId(_u20505)) )).
% 43.40/43.66 cnf(matrix-8198, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20506, _u20506), tc_HOL_Obool)), _u20507), _u20508)) | ~c_Relation_Oantisym(_u20506, _u20508) | c_Relation_Oantisym(_u20506, _u20507) )).
% 43.40/43.66 cnf(matrix-8199, plain, ( ~c_Relation_Oantisym(_u20509, _u20510) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20509, _u20509)), hAPP(hAPP(c_Product__Type_OPair(_u20509, _u20509), _u20511), _u20512)), _u20510)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20509, _u20509)), hAPP(hAPP(c_Product__Type_OPair(_u20509, _u20509), _u20512), _u20511)), _u20510)) | ( _u20511 = _u20512) )).
% 43.40/43.66 cnf(matrix-8200, plain, ( ~c_Relation_Oantisym(_u20519, _u20521) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20519, _u20519)), hAPP(hAPP(c_Product__Type_OPair(_u20519, _u20519), _u20514), _u20513)), _u20521)) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20519, _u20519)), hAPP(hAPP(c_Product__Type_OPair(_u20519, _u20519), _u20513), _u20514)), _u20521)) | ( _u20514 = _u20513) )).
% 43.40/43.66 cnf(matrix-8201, plain, ( c_Relation_Oantisym(_u20520, _u20522) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20520, _u20520)), hAPP(hAPP(c_Product__Type_OPair(_u20520, _u20520), skolem554(_u20522, _u20520)), skolem555(_u20522, _u20520))), _u20522)) )).
% 43.40/43.66 cnf(matrix-8202, plain, ( c_Relation_Oantisym(_u20520, _u20522) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20520, _u20520)), hAPP(hAPP(c_Product__Type_OPair(_u20520, _u20520), skolem555(_u20522, _u20520)), skolem554(_u20522, _u20520))), _u20522)) )).
% 43.40/43.66 cnf(matrix-8203, plain, ( c_Relation_Oantisym(_u20520, _u20522) | ( skolem554(_u20522, _u20520) != skolem555(_u20522, _u20520)) )).
% 43.40/43.66 cnf(matrix-8204, plain, ( ~c_Relation_Oantisym(_u20525, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20525, _u20525), tc_HOL_Obool)), _u20527), c_Relation_OId(_u20525))) | c_Relation_Oantisym(_u20525, _u20527) )).
% 43.40/43.66 cnf(matrix-8205, plain, ( ~c_Relation_Oantisym(_u20526, _u20528) | c_Relation_Oantisym(_u20526, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20526, _u20526), tc_HOL_Obool)), _u20528), c_Relation_OId(_u20526))) )).
% 43.40/43.66 cnf(matrix-8206, plain, ( ~c_Wellfounded_Oacyclic(_u20529, _u20530) | c_Relation_Oantisym(_u20529, c_Transitive__Closure_Ortrancl(_u20529, _u20530)) )).
% 43.40/43.66 cnf(matrix-8207, plain, ( ( c_Partial__Function_Ofun__lub(_u20531, _u20532, _u20533, _u20534, _u20535, _u20536) = hAPP(_u20534, hAPP(c_Set_OCollect(_u20531), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool), tc_HOL_Obool, _u20531), c_HOL_OEx(tc_fun(_u20533, _u20531))), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool), tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool), _u20531), hAPP(c_COMBS(tc_fun(_u20533, _u20531), tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), tc_fun(_u20533, _u20531)), c_fconj), hAPP(hAPP(c_COMBC(tc_fun(_u20533, _u20531), tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool), tc_HOL_Obool), c_member(tc_fun(_u20533, _u20531))), _u20535)))), hAPP(hAPP(c_COMBC(_u20531, tc_fun(tc_fun(_u20533, _u20531), _u20531), tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(_u20531, tc_HOL_Obool), tc_fun(tc_fun(tc_fun(_u20533, _u20531), _u20531), tc_fun(tc_fun(_u20533, _u20531), tc_HOL_Obool)), _u20531), c_COMBB(_u20531, tc_HOL_Obool, tc_fun(_u20533, _u20531))), c_fequal)), hAPP(hAPP(c_COMBC(tc_fun(_u20533, _u20531), _u20533, _u20531), c_COMBI(tc_fun(_u20533, _u20531))), _u20536))))))) )).
% 43.40/43.66 cnf(matrix-8208, plain, ( ~c_Relation_Osym(_u20537, _u20538) | ~c_Relation_Otrans(_u20537, _u20538) | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(_u20537, _u20537), tc_HOL_Obool)), hAPP(hAPP(c_Relation_Orel__comp(_u20537, _u20537, _u20537), hAPP(c_Relation_Oconverse(_u20537, _u20537), _u20538)), _u20538)), _u20538)) )).
% 43.40/43.66 cnf(matrix-8209, plain, ( ~c_Relation_Osym(_u20539, _u20540) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20539, _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20539), _u20541), _u20542)), _u20540)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20539, _u20539)), hAPP(hAPP(c_Product__Type_OPair(_u20539, _u20539), _u20542), _u20541)), _u20540)) )).
% 43.40/43.66 cnf(matrix-8210, plain, ( ~c_Relation_Osym(_u20549, _u20551) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20549, _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20549), _u20544), _u20543)), _u20551)) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20549, _u20549)), hAPP(hAPP(c_Product__Type_OPair(_u20549, _u20549), _u20543), _u20544)), _u20551)) )).
% 43.40/43.66 cnf(matrix-8211, plain, ( c_Relation_Osym(_u20550, _u20552) | hBOOL(hAPP(hAPP(c_member(tc_prod(_u20550, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20550, _u20550), skolem556(_u20552, _u20550)), skolem557(_u20552, _u20550))), _u20552)) )).
% 43.40/43.66 cnf(matrix-8212, plain, ( c_Relation_Osym(_u20550, _u20552) | ~hBOOL(hAPP(hAPP(c_member(tc_prod(_u20550, _u20550)), hAPP(hAPP(c_Product__Type_OPair(_u20550, _u20550), skolem557(_u20552, _u20550)), skolem556(_u20552, _u20550))), _u20552)) )).
% 43.40/43.66 cnf(matrix-8213, plain, ( ~c_Relation_Osym(_u20553, _u20554) | c_Relation_Osym(_u20555, hAPP(hAPP(c_Relation_Oinv__image(_u20553, _u20555), _u20554), _u20556)) )).
% 43.40/43.66 cnf(matrix-8214, plain, ( c_Relation_Osym(_u20557, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20557, _u20557), tc_HOL_Obool)), _u20558), hAPP(c_Relation_Oconverse(_u20557, _u20557), _u20558))) )).
% 43.40/43.66 cnf(matrix-8215, plain, ( ~c_Relation_Osym(_u20559, _u20560) | c_Relation_Osym(_u20559, c_Transitive__Closure_Ortrancl(_u20559, _u20560)) )).
% 43.40/43.66 cnf(matrix-8216, plain, ( c_Relation_Osym(_u20561, c_Relation_OId__on(_u20561, _u20562)) )).
% 43.40/43.66 cnf(matrix-8217, plain, ( ~c_Relation_Osym(_u20563, _u20564) | c_Relation_Osym(_u20563, c_Transitive__Closure_Otrancl(_u20563, _u20564)) )).
% 43.40/43.66 cnf(matrix-8218, plain, ( ~c_Relation_Osym(_u20565, _u20566) | ~c_Relation_Osym(_u20565, _u20567) | c_Relation_Osym(_u20565, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(_u20565, _u20565), tc_HOL_Obool)), _u20566), _u20567)) )).
% 43.40/43.66 cnf(matrix-8219, plain, ( c_Relation_Osym(_u20568, c_Relation_OId(_u20568)) )).
% 43.40/43.66 cnf(matrix-8220, plain, ( ~c_Relation_Osym(_u20569, _u20570) | c_Relation_Osym(tc_List_Olist(_u20569), c_List_Olistrel(_u20569, _u20570)) )).
% 43.40/43.66 cnf(matrix-8221, plain, ( ~c_Relation_Osym(_u20573, _u20575) | ( hAPP(c_Relation_Oconverse(_u20573, _u20573), _u20575) = _u20575) )).
% 43.40/43.66 cnf(matrix-8222, plain, ( ( hAPP(c_Relation_Oconverse(_u20574, _u20574), _u20576) != _u20576) | c_Relation_Osym(_u20574, _u20576) )).
% 43.40/43.66 cnf(matrix-8223, plain, ( ~c_Relation_Osym(_u20579, hAPP(c_Relation_Oconverse(_u20579, _u20579), _u20581)) | c_Relation_Osym(_u20579, _u20581) )).
% 43.40/43.66 cnf(matrix-8224, plain, ( ~c_Relation_Osym(_u20580, _u20582) | c_Relation_Osym(_u20580, hAPP(c_Relation_Oconverse(_u20580, _u20580), _u20582)) )).
% 43.40/43.66 cnf(matrix-8225, plain, ( ~c_Relation_Osym(_u20583, _u20584) | ~c_Relation_Osym(_u20583, _u20585) | c_Relation_Osym(_u20583, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20583, _u20583), tc_HOL_Obool)), _u20584), _u20585)) )).
% 43.40/43.66 cnf(matrix-8226, plain, ( c_Relation_Osym(_u20586, hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(_u20586, _u20586), tc_HOL_Obool)), _u20587), hAPP(c_Relation_Oconverse(_u20586, _u20586), _u20587))) )).
% 43.40/43.66 cnf(matrix-8227, plain, ( ~c_Equiv__Relations_Oequiv(_u20591, _u20593, _u20595) | c_Relation_Orefl__on(_u20591, _u20593, _u20595) )).
% 43.40/43.66 cnf(matrix-8228, plain, ( ~c_Equiv__Relations_Oequiv(_u20591, _u20593, _u20595) | c_Relation_Osym(_u20591, _u20595) )).
% 43.40/43.66 cnf(matrix-8229, plain, ( ~c_Equiv__Relations_Oequiv(_u20591, _u20593, _u20595) | c_Relation_Otrans(_u20591, _u20595) )).
% 43.40/43.66 cnf(matrix-8230, plain, ( ~c_Relation_Orefl__on(_u20592, _u20594, _u20596) | ~c_Relation_Osym(_u20592, _u20596) | ~c_Relation_Otrans(_u20592, _u20596) | c_Equiv__Relations_Oequiv(_u20592, _u20594, _u20596) )).
% 43.40/43.66 cnf(matrix-8231, plain, ( ~c_Relation_Orefl__on(_u20597, _u20598, _u20599) | ~c_Relation_Osym(_u20597, _u20599) | ~c_Relation_Otrans(_u20597, _u20599) | c_Equiv__Relations_Oequiv(_u20597, _u20598, _u20599) )).
% 43.40/43.66 cnf(matrix-8232, plain, ( ~c_Equiv__Relations_Oequiv(_u20600, _u20601, _u20602) | c_Relation_Orefl__on(_u20600, _u20601, _u20602) )).
% 43.40/43.66 cnf(matrix-8233, plain, ( ~c_Equiv__Relations_Oequiv(_u20600, _u20601, _u20602) | c_Relation_Osym(_u20600, _u20602) )).
% 43.40/43.66 cnf(matrix-8234, plain, ( ~c_Equiv__Relations_Oequiv(_u20600, _u20601, _u20602) | c_Relation_Otrans(_u20600, _u20602) )).
% 43.40/43.66 cnf(matrix-8235, plain, ( ~c_Predicate_Osymp(_u20605, _u20607) | c_Relation_Osym(_u20605, hAPP(c_Set_OCollect(tc_prod(_u20605, _u20605)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20605, _u20605, tc_HOL_Obool), _u20607))) )).
% 43.40/43.66 cnf(matrix-8236, plain, ( ~c_Relation_Osym(_u20606, hAPP(c_Set_OCollect(tc_prod(_u20606, _u20606)), hAPP(c_Product__Type_Oprod_Oprod__case(_u20606, _u20606, tc_HOL_Obool), _u20608))) | c_Predicate_Osymp(_u20606, _u20608) )).
% 43.40/43.66 cnf(matrix-8237, plain, ( ~hBOOL(hAPP(hAPP(_u20610, _u20609), _u20609)) | ~c_Predicate_Osymp(_u20611, _u20610) | ~c_Predicate_Otransp(_u20611, _u20610) | c_Equiv__Relations_Opart__equivp(_u20611, _u20610) )).
% 43.40/43.66 cnf(matrix-8238, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20616, _u20618) | hBOOL(hAPP(hAPP(_u20618, skolem558(_u20618, _u20616)), skolem558(_u20618, _u20616))) )).
% 43.40/43.66 cnf(matrix-8239, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20616, _u20618) | c_Predicate_Osymp(_u20616, _u20618) )).
% 43.40/43.66 cnf(matrix-8240, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20616, _u20618) | c_Predicate_Otransp(_u20616, _u20618) )).
% 43.40/43.66 cnf(matrix-8241, plain, ( ~hBOOL(hAPP(hAPP(_u20619, _u20613), _u20613)) | ~c_Predicate_Osymp(_u20617, _u20619) | ~c_Predicate_Otransp(_u20617, _u20619) | c_Equiv__Relations_Opart__equivp(_u20617, _u20619) )).
% 43.40/43.66 cnf(matrix-8242, plain, ( ~c_Equiv__Relations_Oequivp(_u20620, _u20621) | c_Equiv__Relations_Opart__equivp(_u20620, _u20621) )).
% 43.40/43.66 cnf(matrix-8243, plain, ( ~hBOOL(hAPP(hAPP(_u20623, _u20624), _u20625)) | ~hBOOL(hAPP(hAPP(_u20623, _u20625), _u20626)) | hBOOL(hAPP(hAPP(_u20623, _u20624), _u20626)) | ~c_Equiv__Relations_Opart__equivp(_u20622, _u20623) )).
% 43.40/43.66 cnf(matrix-8244, plain, ( ~hBOOL(hAPP(hAPP(_u20628, _u20629), _u20630)) | hBOOL(hAPP(hAPP(_u20628, _u20630), _u20629)) | ~c_Equiv__Relations_Opart__equivp(_u20627, _u20628) )).
% 43.40/43.66 cnf(matrix-8245, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | hBOOL(hAPP(hAPP(_u20649, skolem559(_u20649)), skolem559(_u20649))) )).
% 43.40/43.66 cnf(matrix-8246, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | ~hBOOL(hAPP(hAPP(_u20649, _u20641), _u20639)) | hBOOL(hAPP(hAPP(_u20649, _u20641), _u20641)) )).
% 43.40/43.66 cnf(matrix-8247, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | ~hBOOL(hAPP(hAPP(_u20649, _u20641), _u20639)) | hBOOL(hAPP(hAPP(_u20649, _u20639), _u20639)) )).
% 43.40/43.66 cnf(matrix-8248, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | ~hBOOL(hAPP(hAPP(_u20649, _u20641), _u20639)) | ( hAPP(_u20649, _u20641) = hAPP(_u20649, _u20639)) )).
% 43.40/43.66 cnf(matrix-8249, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20647, _u20649) | ~hBOOL(hAPP(hAPP(_u20649, _u20642), _u20642)) | ~hBOOL(hAPP(hAPP(_u20649, _u20640), _u20640)) | ( hAPP(_u20649, _u20642) != hAPP(_u20649, _u20640)) | hBOOL(hAPP(hAPP(_u20649, _u20642), _u20640)) )).
% 43.40/43.66 cnf(matrix-8250, plain, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem561(_u20650))) | hBOOL(hAPP(hAPP(_u20650, skolem562(_u20650)), skolem562(_u20650))) )).
% 43.40/43.66 cnf(matrix-8251, plain, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem561(_u20650))) | hBOOL(hAPP(hAPP(_u20650, skolem563(_u20650)), skolem563(_u20650))) )).
% 43.40/43.66 cnf(matrix-8252, plain, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem562(_u20650)) = hAPP(_u20650, skolem563(_u20650))) )).
% 43.40/43.66 cnf(matrix-8253, plain, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem561(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem562(_u20650)), skolem563(_u20650))) )).
% 43.40/43.66 cnf(matrix-8254, plain, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | ~hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem560(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem561(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem560(_u20650)) != hAPP(_u20650, skolem561(_u20650))) | hBOOL(hAPP(hAPP(_u20650, skolem562(_u20650)), skolem562(_u20650))) )).
% 43.40/43.66 cnf(matrix-8255, plain, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | ~hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem560(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem561(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem560(_u20650)) != hAPP(_u20650, skolem561(_u20650))) | hBOOL(hAPP(hAPP(_u20650, skolem563(_u20650)), skolem563(_u20650))) )).
% 43.40/43.66 cnf(matrix-8256, plain, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | ~hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem560(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem561(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem560(_u20650)) != hAPP(_u20650, skolem561(_u20650))) | ( hAPP(_u20650, skolem562(_u20650)) = hAPP(_u20650, skolem563(_u20650))) )).
% 43.40/43.66 cnf(matrix-8257, plain, ( c_Equiv__Relations_Opart__equivp(_u20648, _u20650) | ~hBOOL(hAPP(hAPP(_u20650, _u20634), _u20634)) | ~hBOOL(hAPP(hAPP(_u20650, skolem560(_u20650)), skolem560(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem561(_u20650)), skolem561(_u20650))) | ( hAPP(_u20650, skolem560(_u20650)) != hAPP(_u20650, skolem561(_u20650))) | ~hBOOL(hAPP(hAPP(_u20650, skolem562(_u20650)), skolem563(_u20650))) )).
% 43.40/43.66 cnf(matrix-8258, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20652, _u20653) | hBOOL(hAPP(hAPP(_u20653, skolem564(_u20653, _u20652)), skolem564(_u20653, _u20652))) )).
% 43.40/43.66 cnf(matrix-8259, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20652, _u20653) | c_Predicate_Osymp(_u20652, _u20653) )).
% 43.40/43.66 cnf(matrix-8260, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20652, _u20653) | c_Predicate_Otransp(_u20652, _u20653) )).
% 43.40/43.66 cnf(matrix-8261, plain, ( ~c_Equiv__Relations_Opart__equivp(_u20655, _u20656) | hBOOL(hAPP(hAPP(c_member(tc_fun(_u20655, tc_HOL_Obool)), skolem565(_u20656, _u20655)), hAPP(hAPP(c_COMBB(tc_fun(_u20655, tc_HOL_Obool), tc_HOL_Obool, tc_fun(_u20655, tc_HOL_Obool)), c_HOL_OEx(_u20655)), hAPP(hAPP(c_COMBB(tc_fun(_u20655, tc_HOL_Obool), tc_fun(_u20655, tc_HOL_Obool), tc_fun(_u20655, tc_HOL_Obool)), hAPP(c_COMBS(_u20655, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20655), c_fconj), hAPP(hAPP(c_COMBS(_u20655, _u20655, tc_HOL_Obool), _u20656), c_COMBI(_u20655))))), hAPP(hAPP(c_COMBC(tc_fun(_u20655, tc_HOL_Obool), tc_fun(_u20655, tc_fun(_u20655, tc_HOL_Obool)), tc_fun(_u20655, tc_HOL_Obool)), hAPP(hAPP(c_COMBB(tc_fun(tc_fun(_u20655, tc_HOL_Obool), tc_HOL_Obool), tc_fun(tc_fun(_u20655, tc_fun(_u20655, tc_HOL_Obool)), tc_fun(_u20655, tc_HOL_Obool)), tc_fun(_u20655, tc_HOL_Obool)), c_COMBB(tc_fun(_u20655, tc_HOL_Obool), tc_HOL_Obool, _u20655)), c_fequal)), _u20656))))) )).
% 43.40/43.66 cnf(matrix-8262, plain, ( ~c_Fun_Oinj__on(_u20657, _u20658, _u20659, c_Orderings_Otop__class_Otop(tc_fun(_u20657, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20658, _u20657, _u20657, c_Hilbert__Choice_Oinv__into(_u20657, _u20658, c_Orderings_Otop__class_Otop(tc_fun(_u20657, tc_HOL_Obool)), _u20659)), _u20659) = c_Fun_Oid(_u20657)) )).
% 43.40/43.66 cnf(matrix-8263, plain, ( ~c_Fun_Oinj__on(_u20663, _u20665, _u20667, c_Orderings_Otop__class_Otop(tc_fun(_u20663, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20665, _u20663, _u20663, c_Hilbert__Choice_Oinv__into(_u20663, _u20665, c_Orderings_Otop__class_Otop(tc_fun(_u20663, tc_HOL_Obool)), _u20667)), _u20667) = c_Fun_Oid(_u20663)) )).
% 43.40/43.66 cnf(matrix-8264, plain, ( ( hAPP(c_Fun_Ocomp(_u20666, _u20664, _u20664, c_Hilbert__Choice_Oinv__into(_u20664, _u20666, c_Orderings_Otop__class_Otop(tc_fun(_u20664, tc_HOL_Obool)), _u20668)), _u20668) != c_Fun_Oid(_u20664)) | c_Fun_Oinj__on(_u20664, _u20666, _u20668, c_Orderings_Otop__class_Otop(tc_fun(_u20664, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8265, plain, ( ( c_Hilbert__Choice_Oinv__into(_u20669, _u20669, c_Orderings_Otop__class_Otop(tc_fun(_u20669, tc_HOL_Obool)), c_Fun_Oid(_u20669)) = c_Fun_Oid(_u20669)) )).
% 43.40/43.66 cnf(matrix-8266, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20670), _u20671), hAPP(c_Set_Oimage(_u20672, _u20670, _u20673), _u20674))) | ( hAPP(_u20673, hAPP(c_Hilbert__Choice_Oinv__into(_u20672, _u20670, _u20674, _u20673), _u20671)) = _u20671) )).
% 43.40/43.66 cnf(matrix-8267, plain, ( ~hBOOL(hAPP(hAPP(c_member(_u20675), _u20676), hAPP(c_Set_Oimage(_u20677, _u20675, _u20678), _u20679))) | hBOOL(hAPP(hAPP(c_member(_u20677), hAPP(c_Hilbert__Choice_Oinv__into(_u20677, _u20675, _u20679, _u20678), _u20676)), _u20679)) )).
% 43.40/43.66 cnf(matrix-8268, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20680, _u20681, _u20682, _u20683), _u20684) != hAPP(c_Hilbert__Choice_Oinv__into(_u20680, _u20681, _u20682, _u20683), _u20685)) | ~hBOOL(hAPP(hAPP(c_member(_u20681), _u20684), hAPP(c_Set_Oimage(_u20680, _u20681, _u20683), _u20682))) | ~hBOOL(hAPP(hAPP(c_member(_u20681), _u20685), hAPP(c_Set_Oimage(_u20680, _u20681, _u20683), _u20682))) | ( _u20684 = _u20685) )).
% 43.40/43.66 cnf(matrix-8269, plain, ( ( hAPP(c_Set_Oimage(_u20686, _u20687, _u20688), c_Orderings_Otop__class_Otop(tc_fun(_u20686, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20687, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20686, _u20687, _u20688), hAPP(c_Set_Oimage(_u20687, _u20686, c_Hilbert__Choice_Oinv__into(_u20686, _u20687, c_Orderings_Otop__class_Otop(tc_fun(_u20686, tc_HOL_Obool)), _u20688)), _u20689)) = _u20689) )).
% 43.40/43.66 cnf(matrix-8270, plain, ( ( hAPP(c_Set_Oimage(_u20690, _u20691, _u20692), c_Orderings_Otop__class_Otop(tc_fun(_u20690, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20691, tc_HOL_Obool))) | ( hAPP(_u20692, hAPP(c_Hilbert__Choice_Oinv__into(_u20690, _u20691, c_Orderings_Otop__class_Otop(tc_fun(_u20690, tc_HOL_Obool)), _u20692), _u20693)) = _u20693) )).
% 43.40/43.66 cnf(matrix-8271, plain, ( ( hAPP(c_Set_Oimage(_u20699, _u20701, _u20703), c_Orderings_Otop__class_Otop(tc_fun(_u20699, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20701, tc_HOL_Obool))) | ( hAPP(_u20703, hAPP(c_Hilbert__Choice_Oinv__into(_u20699, _u20701, c_Orderings_Otop__class_Otop(tc_fun(_u20699, tc_HOL_Obool)), _u20703), _u20694)) = _u20694) )).
% 43.40/43.66 cnf(matrix-8272, plain, ( ( hAPP(_u20704, hAPP(c_Hilbert__Choice_Oinv__into(_u20700, _u20702, c_Orderings_Otop__class_Otop(tc_fun(_u20700, tc_HOL_Obool)), _u20704), skolem566(_u20704, _u20702, _u20700))) != skolem566(_u20704, _u20702, _u20700)) | ( hAPP(c_Set_Oimage(_u20700, _u20702, _u20704), c_Orderings_Otop__class_Otop(tc_fun(_u20700, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20702, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8273, plain, ( ( hAPP(c_Set_Oimage(_u20705, _u20706, _u20707), _u20708) != _u20709) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20706, tc_HOL_Obool)), _u20710), _u20709)) | ( hAPP(c_Set_Oimage(_u20705, _u20706, _u20707), hAPP(c_Set_Oimage(_u20706, _u20705, c_Hilbert__Choice_Oinv__into(_u20705, _u20706, _u20708, _u20707)), _u20710)) = _u20710) )).
% 43.40/43.66 cnf(matrix-8274, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20711, _u20712, _u20713, _u20714), _u20715) = c_Hilbert__Choice_OEps(_u20711, hAPP(hAPP(c_COMBS(_u20711, tc_HOL_Obool, tc_HOL_Obool), hAPP(hAPP(c_COMBB(tc_HOL_Obool, tc_fun(tc_HOL_Obool, tc_HOL_Obool), _u20711), c_fconj), hAPP(hAPP(c_COMBC(_u20711, tc_fun(_u20711, tc_HOL_Obool), tc_HOL_Obool), c_member(_u20711)), _u20713))), hAPP(hAPP(c_COMBC(_u20711, _u20712, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20712, tc_fun(_u20712, tc_HOL_Obool), _u20711), c_fequal), _u20714)), _u20715)))) )).
% 43.40/43.66 cnf(matrix-8275, plain, ( ( hAPP(c_Hilbert__Choice_Oinv__into(_u20716, _u20717, c_Orderings_Otop__class_Otop(tc_fun(_u20716, tc_HOL_Obool)), _u20718), _u20719) = c_Hilbert__Choice_OEps(_u20716, hAPP(hAPP(c_COMBC(_u20716, _u20717, tc_HOL_Obool), hAPP(hAPP(c_COMBB(_u20717, tc_fun(_u20717, tc_HOL_Obool), _u20716), c_fequal), _u20718)), _u20719))) )).
% 43.40/43.66 cnf(matrix-8276, plain, ( ~c_Fun_Oinj__on(_u20720, _u20721, _u20722, c_Orderings_Otop__class_Otop(tc_fun(_u20720, tc_HOL_Obool))) | ( hAPP(_u20722, _u20723) != _u20724) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20720, _u20721, c_Orderings_Otop__class_Otop(tc_fun(_u20720, tc_HOL_Obool)), _u20722), _u20724) = _u20723) )).
% 43.40/43.66 cnf(matrix-8277, plain, ( ~c_Fun_Oinj__on(_u20725, _u20726, _u20727, c_Orderings_Otop__class_Otop(tc_fun(_u20725, tc_HOL_Obool))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20725, _u20726, c_Orderings_Otop__class_Otop(tc_fun(_u20725, tc_HOL_Obool)), _u20727), hAPP(_u20727, _u20728)) = _u20728) )).
% 43.40/43.66 cnf(matrix-8278, plain, ( ~c_Fun_Oinj__on(_u20729, _u20730, _u20731, _u20732) | ~hBOOL(hAPP(hAPP(c_member(_u20729), _u20733), _u20732)) | ( hAPP(_u20731, _u20733) != _u20734) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20729, _u20730, _u20732, _u20731), _u20734) = _u20733) )).
% 43.40/43.66 cnf(matrix-8279, plain, ( ~c_Fun_Oinj__on(_u20735, _u20736, _u20737, _u20738) | ~hBOOL(hAPP(hAPP(c_member(_u20735), _u20739), _u20738)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20735, _u20736, _u20738, _u20737), hAPP(_u20737, _u20739)) = _u20739) )).
% 43.40/43.66 cnf(matrix-8280, plain, ( ~c_Fun_Oinj__on(_u20740, _u20741, _u20742, c_Orderings_Otop__class_Otop(tc_fun(_u20740, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20741, _u20740, c_Hilbert__Choice_Oinv__into(_u20740, _u20741, c_Orderings_Otop__class_Otop(tc_fun(_u20740, tc_HOL_Obool)), _u20742)), c_Orderings_Otop__class_Otop(tc_fun(_u20741, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20740, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8281, plain, ( ~c_Fun_Oinj__on(_u20743, _u20744, _u20745, c_Orderings_Otop__class_Otop(tc_fun(_u20743, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20744, _u20743, c_Hilbert__Choice_Oinv__into(_u20743, _u20744, c_Orderings_Otop__class_Otop(tc_fun(_u20743, tc_HOL_Obool)), _u20745)), hAPP(c_Set_Oimage(_u20743, _u20744, _u20745), _u20746)) = _u20746) )).
% 43.40/43.66 cnf(matrix-8282, plain, ( ~c_Fun_Oinj__on(_u20747, _u20748, _u20749, c_Orderings_Otop__class_Otop(tc_fun(_u20747, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20748, _u20747, c_Hilbert__Choice_Oinv__into(_u20747, _u20748, c_Orderings_Otop__class_Otop(tc_fun(_u20747, tc_HOL_Obool)), _u20749)), hAPP(c_Set_Oimage(_u20747, _u20748, _u20749), _u20750)) = _u20750) )).
% 43.40/43.66 cnf(matrix-8283, plain, ( ( hAPP(c_Set_Oimage(_u20751, _u20752, _u20753), c_Orderings_Otop__class_Otop(tc_fun(_u20751, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20752, tc_HOL_Obool))) | c_Fun_Oinj__on(_u20752, _u20751, c_Hilbert__Choice_Oinv__into(_u20751, _u20752, c_Orderings_Otop__class_Otop(tc_fun(_u20751, tc_HOL_Obool)), _u20753), c_Orderings_Otop__class_Otop(tc_fun(_u20752, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8284, plain, ( ~c_Fun_Oinj__on(_u20754, _u20755, _u20756, _u20757) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20754, tc_HOL_Obool)), _u20758), _u20757)) | ( hAPP(c_Set_Oimage(_u20755, _u20754, c_Hilbert__Choice_Oinv__into(_u20754, _u20755, _u20757, _u20756)), hAPP(c_Set_Oimage(_u20754, _u20755, _u20756), _u20758)) = _u20758) )).
% 43.40/43.66 cnf(matrix-8285, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20759, tc_HOL_Obool)), _u20760), hAPP(c_Set_Oimage(_u20761, _u20759, _u20762), _u20763))) | c_Fun_Oinj__on(_u20759, _u20761, c_Hilbert__Choice_Oinv__into(_u20761, _u20759, _u20763, _u20762), _u20760) )).
% 43.40/43.66 cnf(matrix-8286, plain, ( ~c_Fun_Oinj__on(_u20764, _u20765, _u20766, c_Orderings_Otop__class_Otop(tc_fun(_u20764, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20765, _u20767, _u20764, hAPP(c_Fun_Ocomp(_u20764, _u20767, _u20765, _u20768), c_Hilbert__Choice_Oinv__into(_u20764, _u20765, c_Orderings_Otop__class_Otop(tc_fun(_u20764, tc_HOL_Obool)), _u20766))), _u20766) = _u20768) )).
% 43.40/43.66 cnf(matrix-8287, plain, ( ~c_Fun_Oinj__on(_u20769, _u20770, _u20771, hAPP(c_Set_Oimage(_u20772, _u20769, _u20773), _u20774)) | ~c_Fun_Oinj__on(_u20772, _u20769, _u20773, _u20774) | ~hBOOL(hAPP(hAPP(c_member(_u20770), _u20775), hAPP(c_Set_Oimage(_u20769, _u20770, _u20771), hAPP(c_Set_Oimage(_u20772, _u20769, _u20773), _u20774)))) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20772, _u20770, _u20774, hAPP(c_Fun_Ocomp(_u20769, _u20770, _u20772, _u20771), _u20773)), _u20775) = hAPP(hAPP(c_Fun_Ocomp(_u20769, _u20772, _u20770, c_Hilbert__Choice_Oinv__into(_u20772, _u20769, _u20774, _u20773)), c_Hilbert__Choice_Oinv__into(_u20769, _u20770, hAPP(c_Set_Oimage(_u20772, _u20769, _u20773), _u20774), _u20771)), _u20775)) )).
% 43.40/43.66 cnf(matrix-8288, plain, ( ( hAPP(c_Set_Oimage(_u20779, _u20781, _u20783), c_Orderings_Otop__class_Otop(tc_fun(_u20779, tc_HOL_Obool))) != c_Orderings_Otop__class_Otop(tc_fun(_u20781, tc_HOL_Obool))) | ( hAPP(c_Fun_Ocomp(_u20779, _u20781, _u20781, _u20783), c_Hilbert__Choice_Oinv__into(_u20779, _u20781, c_Orderings_Otop__class_Otop(tc_fun(_u20779, tc_HOL_Obool)), _u20783)) = c_Fun_Oid(_u20781)) )).
% 43.40/43.66 cnf(matrix-8289, plain, ( ( hAPP(c_Fun_Ocomp(_u20780, _u20782, _u20782, _u20784), c_Hilbert__Choice_Oinv__into(_u20780, _u20782, c_Orderings_Otop__class_Otop(tc_fun(_u20780, tc_HOL_Obool)), _u20784)) != c_Fun_Oid(_u20782)) | ( hAPP(c_Set_Oimage(_u20780, _u20782, _u20784), c_Orderings_Otop__class_Otop(tc_fun(_u20780, tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(_u20782, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8290, plain, ( ~c_Fun_Oinj__on(_u20786, _u20787, _u20788, c_Orderings_Otop__class_Otop(tc_fun(_u20786, tc_HOL_Obool))) | hBOOL(hAPP(_u20789, _u20790)) | hBOOL(hAPP(hAPP(c_member(_u20787), skolem567(_u20790, _u20789, _u20788, _u20787, _u20786)), hAPP(c_Set_Oimage(_u20786, _u20787, _u20788), c_Orderings_Otop__class_Otop(tc_fun(_u20786, tc_HOL_Obool))))) )).
% 43.40/43.66 cnf(matrix-8291, plain, ( ~c_Fun_Oinj__on(_u20786, _u20787, _u20788, c_Orderings_Otop__class_Otop(tc_fun(_u20786, tc_HOL_Obool))) | hBOOL(hAPP(_u20789, _u20790)) | ~hBOOL(hAPP(_u20789, hAPP(c_Hilbert__Choice_Oinv__into(_u20786, _u20787, c_Orderings_Otop__class_Otop(tc_fun(_u20786, tc_HOL_Obool)), _u20788), skolem567(_u20790, _u20789, _u20788, _u20787, _u20786)))) )).
% 43.40/43.66 cnf(matrix-8292, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) )).
% 43.40/43.66 cnf(matrix-8293, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) )).
% 43.40/43.66 cnf(matrix-8294, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | ( skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794) != skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)) )).
% 43.40/43.66 cnf(matrix-8295, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20797, tc_HOL_Obool)), hAPP(_u20798, skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794))), hAPP(_u20798, skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794))) != c_Orderings_Obot__class_Obot(tc_fun(_u20797, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8296, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20797), hAPP(_u20798, skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) )).
% 43.40/43.66 cnf(matrix-8297, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20797), hAPP(_u20798, skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | hBOOL(hAPP(hAPP(c_member(_u20795), skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)), _u20796)) )).
% 43.40/43.66 cnf(matrix-8298, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20797), hAPP(_u20798, skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | ( skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794) != skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)) )).
% 43.40/43.66 cnf(matrix-8299, plain, ( ~class_Groups_Ocomm__monoid__mult(_u20794) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20795), _u20796)) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20797), hAPP(_u20798, skolem568(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794)))) | ( hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794)), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(_u20795, tc_fun(_u20797, tc_HOL_Obool)), _u20796), _u20798)) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20795, c_Groups_Otimes__class_Otimes(_u20794)), hAPP(hAPP(c_COMBB(tc_fun(_u20797, tc_HOL_Obool), _u20794, _u20795), hAPP(hAPP(c_Finite__Set_Ofold__image(_u20794, _u20797, c_Groups_Otimes__class_Otimes(_u20794)), _u20799), c_Groups_Oone__class_Oone(_u20794))), _u20798)), c_Groups_Oone__class_Oone(_u20794)), _u20796)) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20797, tc_HOL_Obool)), hAPP(_u20798, skolem569(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794))), hAPP(_u20798, skolem570(_u20799, _u20798, _u20797, _u20796, _u20795, _u20794))) != c_Orderings_Obot__class_Obot(tc_fun(_u20797, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8300, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20801), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ~hBOOL(hAPP(_u20802, hAPP(c_Code__Numeral_Onat__of, skolem571(_u20802, _u20801)))) | hBOOL(hAPP(_u20802, _u20801)) )).
% 43.40/43.66 cnf(matrix-8301, plain, ( ~hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), _u20804), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) | ( _u20804 = hAPP(c_Code__Numeral_Onat__of, skolem572(_u20804))) )).
% 43.40/43.66 cnf(matrix-8302, plain, ( ( _u20806 = hAPP(c_Code__Numeral_Oof__nat, skolem573(_u20806))) )).
% 43.40/43.66 cnf(matrix-8303, plain, ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem573(_u20806)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.40/43.66 cnf(matrix-8304, plain, ( hBOOL(hAPP(_u20808, _u20809)) | hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat), skolem574(_u20809, _u20808)), c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat, tc_HOL_Obool)))) )).
% 43.40/43.66 cnf(matrix-8305, plain, ( hBOOL(hAPP(_u20808, _u20809)) | ~hBOOL(hAPP(_u20808, hAPP(c_Code__Numeral_Oof__nat, skolem574(_u20809, _u20808)))) )).
% 43.40/43.66 cnf(matrix-8306, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20810, _u20811, _u20812, _u20813, c_Lazy__Sequence_Olazy__sequence_OEmpty(_u20811)) = _u20812) )).
% 43.40/43.66 cnf(matrix-8307, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20816), _u20818)) | ( c_Quickcheck_Obeyond(_u20816, _u20818) = _u20818) )).
% 43.40/43.66 cnf(matrix-8308, plain, ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral), _u20817), _u20819)) | ( c_Quickcheck_Obeyond(_u20817, _u20819) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 43.40/43.66 cnf(matrix-8309, plain, ( ( c_Quickcheck_Obeyond(_u20820, c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)) )).
% 43.40/43.66 cnf(matrix-8310, plain, ( ( c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20821, _u20822, _u20823, _u20824, c_Lazy__Sequence_Olazy__sequence_OInsert(_u20822, _u20825, _u20826)) = hAPP(hAPP(hAPP(_u20824, _u20825), _u20826), c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__rec(_u20821, _u20822, _u20823, _u20824, _u20826))) )).
% 43.40/43.66 cnf(matrix-8311, plain, ( ~c_Fun_Obij__betw(_u20827, _u20828, _u20829, c_Orderings_Otop__class_Otop(tc_fun(_u20827, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20828, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20827, _u20828, _u20829), hAPP(c_Set_OCollect(_u20827), _u20830)) = hAPP(c_Set_OCollect(_u20828), hAPP(hAPP(c_COMBB(_u20827, tc_HOL_Obool, _u20828), _u20830), c_Hilbert__Choice_Oinv__into(_u20827, _u20828, c_Orderings_Otop__class_Otop(tc_fun(_u20827, tc_HOL_Obool)), _u20829)))) )).
% 43.40/43.66 cnf(matrix-8312, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20831, _u20832, _u20833, _u20834), _u20835), _u20836) = hAPP(_u20834, hAPP(hAPP(c_Product__Type_OPair(_u20831, _u20832), _u20835), _u20836))) )).
% 43.40/43.66 cnf(matrix-8313, plain, ( ~hBOOL(hAPP(_u20837, hAPP(hAPP(c_Product__Type_OPair(_u20838, _u20839), _u20840), _u20841))) | hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20838, _u20839, tc_HOL_Obool, _u20837), _u20840), _u20841)) )).
% 43.40/43.66 cnf(matrix-8314, plain, ( c_Fun_Obij__betw(_u20842, _u20842, c_Fun_Oid(_u20842), _u20843, _u20843) )).
% 43.40/43.66 cnf(matrix-8315, plain, ( ~c_Fun_Obij__betw(_u20844, _u20845, _u20846, _u20847, _u20848) | ~hBOOL(hAPP(hAPP(c_member(_u20844), _u20849), _u20847)) | ( hAPP(c_Hilbert__Choice_Oinv__into(_u20845, _u20844, _u20848, c_Hilbert__Choice_Oinv__into(_u20844, _u20845, _u20847, _u20846)), _u20849) = hAPP(_u20846, _u20849)) )).
% 43.40/43.66 cnf(matrix-8316, plain, ( ~c_Fun_Obij__betw(_u20850, _u20851, _u20852, _u20853, _u20854) | c_Fun_Obij__betw(_u20851, _u20850, c_Hilbert__Choice_Oinv__into(_u20850, _u20851, _u20853, _u20852), _u20854, _u20853) )).
% 43.40/43.66 cnf(matrix-8317, plain, ( ~c_Fun_Obij__betw(_u20855, _u20856, _u20857, c_Orderings_Otop__class_Otop(tc_fun(_u20855, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20856, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20856, _u20855, c_Hilbert__Choice_Oinv__into(_u20855, _u20856, c_Orderings_Otop__class_Otop(tc_fun(_u20855, tc_HOL_Obool)), _u20857), c_Orderings_Otop__class_Otop(tc_fun(_u20856, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20855, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8318, plain, ( ~c_Fun_Obij__betw(_u20858, _u20859, _u20860, c_Orderings_Otop__class_Otop(tc_fun(_u20858, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20859, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20859, _u20858, c_Orderings_Otop__class_Otop(tc_fun(_u20859, tc_HOL_Obool)), c_Hilbert__Choice_Oinv__into(_u20858, _u20859, c_Orderings_Otop__class_Otop(tc_fun(_u20858, tc_HOL_Obool)), _u20860)) = _u20860) )).
% 43.40/43.66 cnf(matrix-8319, plain, ( ~c_Fun_Obij__betw(_u20861, _u20862, _u20863, c_Orderings_Otop__class_Otop(tc_fun(_u20861, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20862, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20864, _u20861, _u20865, c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20861, tc_HOL_Obool))) | ( c_Hilbert__Choice_Oinv__into(_u20864, _u20862, c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool)), hAPP(c_Fun_Ocomp(_u20861, _u20862, _u20864, _u20863), _u20865)) = hAPP(c_Fun_Ocomp(_u20861, _u20864, _u20862, c_Hilbert__Choice_Oinv__into(_u20864, _u20861, c_Orderings_Otop__class_Otop(tc_fun(_u20864, tc_HOL_Obool)), _u20865)), c_Hilbert__Choice_Oinv__into(_u20861, _u20862, c_Orderings_Otop__class_Otop(tc_fun(_u20861, tc_HOL_Obool)), _u20863))) )).
% 43.40/43.66 cnf(matrix-8320, plain, ( ~c_Fun_Obij__betw(_u20866, _u20867, _u20868, _u20869, _u20870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20866, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20871, _u20866, _u20872), _u20873)), _u20869)) | ~c_Fun_Obij__betw(_u20871, _u20866, _u20872, _u20873, _u20869) | c_Fun_Obij__betw(_u20871, _u20867, hAPP(c_Fun_Ocomp(_u20866, _u20867, _u20871, _u20868), _u20872), _u20873, _u20870) )).
% 43.40/43.66 cnf(matrix-8321, plain, ( ~c_Fun_Obij__betw(_u20866, _u20867, _u20868, _u20869, _u20870) | ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(_u20866, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20871, _u20866, _u20872), _u20873)), _u20869)) | ~c_Fun_Obij__betw(_u20871, _u20867, hAPP(c_Fun_Ocomp(_u20866, _u20867, _u20871, _u20868), _u20872), _u20873, _u20870) | c_Fun_Obij__betw(_u20871, _u20866, _u20872, _u20873, _u20869) )).
% 43.40/43.66 cnf(matrix-8322, plain, ( ~c_Fun_Obij__betw(_u20874, _u20875, _u20876, _u20877, _u20878) | ~c_Fun_Obij__betw(_u20875, _u20879, _u20880, _u20878, _u20881) | c_Fun_Obij__betw(_u20874, _u20879, hAPP(c_Fun_Ocomp(_u20875, _u20879, _u20874, _u20880), _u20876), _u20877, _u20881) )).
% 43.40/43.66 cnf(matrix-8323, plain, ( ~c_Fun_Obij__betw(_u20882, _u20883, _u20884, _u20885, _u20886) | ~c_Fun_Obij__betw(_u20883, _u20887, _u20888, _u20886, _u20889) | c_Fun_Obij__betw(_u20882, _u20887, hAPP(c_Fun_Ocomp(_u20883, _u20887, _u20882, _u20888), _u20884), _u20885, _u20889) )).
% 43.40/43.66 cnf(matrix-8324, plain, ( ~c_Fun_Obij__betw(_u20882, _u20883, _u20884, _u20885, _u20886) | ~c_Fun_Obij__betw(_u20882, _u20887, hAPP(c_Fun_Ocomp(_u20883, _u20887, _u20882, _u20888), _u20884), _u20885, _u20889) | c_Fun_Obij__betw(_u20883, _u20887, _u20888, _u20886, _u20889) )).
% 43.40/43.66 cnf(matrix-8325, plain, ( ~c_Fun_Obij__betw(_u20890, _u20891, _u20892, c_Orderings_Otop__class_Otop(tc_fun(_u20890, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20891, tc_HOL_Obool))) | ~c_Fun_Obij__betw(_u20891, _u20893, _u20894, c_Orderings_Otop__class_Otop(tc_fun(_u20891, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20893, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20890, _u20893, hAPP(c_Fun_Ocomp(_u20891, _u20893, _u20890, _u20894), _u20892), c_Orderings_Otop__class_Otop(tc_fun(_u20890, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20893, tc_HOL_Obool))) )).
% 43.40/43.66 cnf(matrix-8326, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20895, _u20896, tc_HOL_Obool, _u20897), _u20898), _u20899)) | hBOOL(hAPP(_u20897, hAPP(hAPP(c_Product__Type_OPair(_u20895, _u20896), _u20898), _u20899))) )).
% 43.40/43.66 cnf(matrix-8327, plain, ( ~hBOOL(hAPP(hAPP(c_Product__Type_Ocurry(_u20900, _u20901, tc_HOL_Obool, _u20902), _u20903), _u20904)) | hBOOL(hAPP(_u20902, hAPP(hAPP(c_Product__Type_OPair(_u20900, _u20901), _u20903), _u20904))) )).
% 43.40/43.66 cnf(matrix-8328, plain, ( ( hAPP(hAPP(c_Product__Type_Ocurry(_u20905, _u20906, _u20907, _u20908), _u20909), _u20910) = hAPP(_u20908, hAPP(hAPP(c_Product__Type_OPair(_u20905, _u20906), _u20909), _u20910))) )).
% 43.40/43.66 cnf(matrix-8329, plain, ( ( c_Product__Type_Ocurry(_u20911, _u20912, _u20913, hAPP(c_Product__Type_Oprod_Oprod__case(_u20911, _u20912, _u20913), _u20914)) = _u20914) )).
% 43.40/43.66 cnf(matrix-8330, plain, ( ( hAPP(c_Product__Type_Oprod_Oprod__case(_u20915, _u20916, _u20917), c_Product__Type_Ocurry(_u20915, _u20916, _u20917, _u20918)) = _u20918) )).
% 43.40/43.66 cnf(matrix-8331, plain, ( ~c_Fun_Obij__betw(_u20919, _u20920, _u20921, c_Orderings_Otop__class_Otop(tc_fun(_u20919, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20920, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20919, _u20920, _u20921), hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20922, tc_fun(_u20919, tc_HOL_Obool)), _u20923), _u20924)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(_u20922, tc_fun(_u20920, tc_HOL_Obool)), _u20923), hAPP(hAPP(c_COMBB(tc_fun(_u20919, tc_HOL_Obool), tc_fun(_u20920, tc_HOL_Obool), _u20922), c_Set_Oimage(_u20919, _u20920, _u20921)), _u20924))) )).
% 43.40/43.66 cnf(matrix-8332, plain, ( ~c_Fun_Obij__betw(_u20925, _u20926, _u20927, c_Orderings_Otop__class_Otop(tc_fun(_u20925, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20926, tc_HOL_Obool))) | ( hAPP(c_Set_Oimage(_u20925, _u20926, _u20927), hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20925, tc_HOL_Obool)), _u20928)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(_u20926, tc_HOL_Obool)), hAPP(c_Set_Oimage(_u20925, _u20926, _u20927), _u20928))) )).
% 43.40/43.66 cnf(matrix-8333, plain, ( ~c_Fun_Obij__betw(_u20929, _u20930, _u20931, c_Orderings_Otop__class_Otop(tc_fun(_u20929, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20930, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20929), hAPP(c_Set_Ovimage(_u20929, _u20930, _u20931), _u20932))) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20930), _u20932)) )).
% 43.40/43.66 cnf(matrix-8334, plain, ( ~c_Fun_Obij__betw(_u20929, _u20930, _u20931, c_Orderings_Otop__class_Otop(tc_fun(_u20929, tc_HOL_Obool)), c_Orderings_Otop__class_Otop(tc_fun(_u20930, tc_HOL_Obool))) | ~hBOOL(hAPP(c_Finite__Set_Ofinite(_u20930), _u20932)) | hBOOL(hAPP(c_Finite__Set_Ofinite(_u20929), hAPP(c_Set_Ovimage(_u20929, _u20930, _u20931), _u20932))) )).
% 43.40/43.66 cnf(matrix-8335, plain, ( ~c_Fun_Obij__betw(_u20933, _u20934, _u20935, _u20936, _u20937) | ~c_Fun_Obij__betw(_u20933, _u20934, _u20935, _u20938, _u20939) | ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(_u20934, tc_HOL_Obool)), _u20937), _u20939) != c_Orderings_Obot__class_Obot(tc_fun(_u20934, tc_HOL_Obool))) | c_Fun_Obij__betw(_u20933, _u20934, _u20935, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20933, tc_HOL_Obool)), _u20936), _u20938), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(_u20934, tc_HOL_Obool)), _u20937), _u20939)) )).
% 43.40/43.66 cnf(matrix-8336, plain, ( class_Lattices_Obounded__lattice(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8337, plain, ( ~class_Lattices_Obounded__lattice(_u20940) | class_Lattices_Obounded__lattice(tc_fun(_u20941, _u20940)) )).
% 43.40/43.66 cnf(matrix-8338, plain, ( ~class_Complete__Lattice_Ocomplete__lattice(_u20942) | class_Complete__Lattice_Ocomplete__lattice(tc_fun(_u20943, _u20942)) )).
% 43.40/43.66 cnf(matrix-8339, plain, ( ~class_Lattices_Obounded__lattice(_u20944) | class_Lattices_Obounded__lattice__top(tc_fun(_u20945, _u20944)) )).
% 43.40/43.66 cnf(matrix-8340, plain, ( ~class_Lattices_Obounded__lattice(_u20946) | class_Lattices_Obounded__lattice__bot(tc_fun(_u20947, _u20946)) )).
% 43.40/43.66 cnf(matrix-8341, plain, ( ~class_Lattices_Olattice(_u20948) | class_Lattices_Osemilattice__sup(tc_fun(_u20949, _u20948)) )).
% 43.40/43.66 cnf(matrix-8342, plain, ( ~class_Lattices_Olattice(_u20950) | class_Lattices_Osemilattice__inf(tc_fun(_u20951, _u20950)) )).
% 43.40/43.66 cnf(matrix-8343, plain, ( ~class_Lattices_Odistrib__lattice(_u20952) | class_Lattices_Odistrib__lattice(tc_fun(_u20953, _u20952)) )).
% 43.40/43.66 cnf(matrix-8344, plain, ( ~class_Lattices_Oboolean__algebra(_u20954) | class_Lattices_Oboolean__algebra(tc_fun(_u20955, _u20954)) )).
% 43.40/43.66 cnf(matrix-8345, plain, ( ~class_Orderings_Opreorder(_u20956) | class_Orderings_Opreorder(tc_fun(_u20957, _u20956)) )).
% 43.40/43.66 cnf(matrix-8346, plain, ( ~class_Finite__Set_Ofinite(_u20958) | ~class_Finite__Set_Ofinite(_u20959) | class_Finite__Set_Ofinite(tc_fun(_u20958, _u20959)) )).
% 43.40/43.66 cnf(matrix-8347, plain, ( ~class_Lattices_Olattice(_u20960) | class_Lattices_Olattice(tc_fun(_u20961, _u20960)) )).
% 43.40/43.66 cnf(matrix-8348, plain, ( ~class_Orderings_Oorder(_u20962) | class_Orderings_Oorder(tc_fun(_u20963, _u20962)) )).
% 43.40/43.66 cnf(matrix-8349, plain, ( ~class_Orderings_Otop(_u20964) | class_Orderings_Otop(tc_fun(_u20965, _u20964)) )).
% 43.40/43.66 cnf(matrix-8350, plain, ( ~class_Orderings_Oord(_u20966) | class_Orderings_Oord(tc_fun(_u20967, _u20966)) )).
% 43.40/43.66 cnf(matrix-8351, plain, ( ~class_Orderings_Obot(_u20968) | class_Orderings_Obot(tc_fun(_u20969, _u20968)) )).
% 43.40/43.66 cnf(matrix-8352, plain, ( ~class_Groups_Ouminus(_u20970) | class_Groups_Ouminus(tc_fun(_u20971, _u20970)) )).
% 43.40/43.66 cnf(matrix-8353, plain, ( ~class_Groups_Ominus(_u20972) | class_Groups_Ominus(tc_fun(_u20973, _u20972)) )).
% 43.40/43.66 cnf(matrix-8354, plain, ( ~class_Enum_Oenum(_u20974) | ~class_Enum_Oenum(_u20975) | class_Enum_Oenum(tc_fun(_u20974, _u20975)) )).
% 43.40/43.66 cnf(matrix-8355, plain, ( class_Nat_Osize(tc_Com_Ocom) )).
% 43.40/43.66 cnf(matrix-8356, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8357, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8358, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8359, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8360, plain, ( class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8361, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8362, plain, ( class_Rings_Olinordered__semiring__strict(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8363, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8364, plain, ( class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8365, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8366, plain, ( class_Groups_Olinordered__ab__group__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8367, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8368, plain, ( class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8369, plain, ( class_Rings_Oordered__cancel__semiring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8370, plain, ( class_Rings_Olinordered__ring__strict(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8371, plain, ( class_Rings_Oring__no__zero__divisors(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8372, plain, ( class_Rings_Oordered__comm__semiring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8373, plain, ( class_Rings_Olinordered__semiring__1(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8374, plain, ( class_Groups_Oordered__ab__group__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8375, plain, ( class_Groups_Ocancel__semigroup__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8376, plain, ( class_Rings_Olinordered__semiring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8377, plain, ( class_Rings_Olinordered__semidom(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8378, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8379, plain, ( class_Lattices_Osemilattice__sup(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8380, plain, ( class_Lattices_Osemilattice__inf(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8381, plain, ( class_Lattices_Odistrib__lattice(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8382, plain, ( class_Groups_Oab__semigroup__mult(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8383, plain, ( class_Groups_Ocomm__monoid__mult(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8384, plain, ( class_Groups_Oab__semigroup__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8385, plain, ( class_Rings_Oordered__semiring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8386, plain, ( class_Rings_Oordered__ring__abs(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8387, plain, ( class_Rings_Ono__zero__divisors(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8388, plain, ( class_Groups_Ocomm__monoid__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8389, plain, ( class_Rings_Olinordered__ring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8390, plain, ( class_Rings_Olinordered__idom(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8391, plain, ( class_Rings_Ocomm__semiring__1(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8392, plain, ( class_Groups_Osemigroup__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8393, plain, ( class_Divides_Osemiring__div(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8394, plain, ( class_Rings_Ocomm__semiring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8395, plain, ( class_Nat_Osemiring__char__0(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8396, plain, ( class_Groups_Oab__group__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8397, plain, ( class_Rings_Ozero__neq__one(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8398, plain, ( class_Rings_Oordered__ring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8399, plain, ( class_Orderings_Opreorder(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8400, plain, ( class_Orderings_Olinorder(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8401, plain, ( class_Groups_Omonoid__mult(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8402, plain, ( class_Rings_Ocomm__ring__1(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8403, plain, ( class_Groups_Omonoid__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8404, plain, ( class_Rings_Osemiring__1(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8405, plain, ( class_Rings_Osemiring__0(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8406, plain, ( class_Lattices_Olattice(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8407, plain, ( class_Groups_Ogroup__add(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8408, plain, ( class_Divides_Oring__div(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8409, plain, ( class_Rings_Omult__zero(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8410, plain, ( class_Orderings_Oorder(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8411, plain, ( class_Int_Oring__char__0(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8412, plain, ( class_Int_Onumber__ring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8413, plain, ( class_Rings_Osemiring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8414, plain, ( class_Orderings_Oord(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8415, plain, ( class_Groups_Ouminus(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8416, plain, ( class_Groups_Osgn__if(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8417, plain, ( class_Groups_Oabs__if(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8418, plain, ( class_Rings_Oring__1(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8419, plain, ( class_Groups_Ominus(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8420, plain, ( class_Power_Opower(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8421, plain, ( class_Groups_Ozero(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8422, plain, ( class_Rings_Oring(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8423, plain, ( class_Rings_Oidom(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8424, plain, ( class_Int_Onumber(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8425, plain, ( class_Groups_Oone(tc_Int_Oint) )).
% 43.40/43.66 cnf(matrix-8426, plain, ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8427, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8428, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8429, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8430, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8431, plain, ( class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8432, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8433, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8434, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8435, plain, ( class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8436, plain, ( class_Rings_Oordered__comm__semiring(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8437, plain, ( class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8438, plain, ( class_Rings_Olinordered__semiring(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8439, plain, ( class_Rings_Olinordered__semidom(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8440, plain, ( class_Lattices_Osemilattice__sup(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8441, plain, ( class_Lattices_Osemilattice__inf(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8442, plain, ( class_Lattices_Odistrib__lattice(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8443, plain, ( class_Groups_Oab__semigroup__mult(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8444, plain, ( class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8445, plain, ( class_Groups_Oab__semigroup__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8446, plain, ( class_Rings_Oordered__semiring(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8447, plain, ( class_Rings_Ono__zero__divisors(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8448, plain, ( class_Groups_Ocomm__monoid__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8449, plain, ( class_Rings_Ocomm__semiring__1(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8450, plain, ( class_Groups_Osemigroup__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8451, plain, ( class_Divides_Osemiring__div(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8452, plain, ( class_Rings_Ocomm__semiring(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8453, plain, ( class_Orderings_Owellorder(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8454, plain, ( class_Nat_Osemiring__char__0(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8455, plain, ( class_Rings_Ozero__neq__one(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8456, plain, ( class_Orderings_Opreorder(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8457, plain, ( class_Orderings_Olinorder(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8458, plain, ( class_Groups_Omonoid__mult(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8459, plain, ( class_Groups_Omonoid__add(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8460, plain, ( class_Rings_Osemiring__1(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8461, plain, ( class_Rings_Osemiring__0(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8462, plain, ( class_Lattices_Olattice(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8463, plain, ( class_Rings_Omult__zero(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8464, plain, ( class_Orderings_Oorder(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8465, plain, ( class_Rings_Osemiring(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8466, plain, ( class_Orderings_Oord(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8467, plain, ( class_Orderings_Obot(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8468, plain, ( class_Groups_Ominus(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8469, plain, ( class_Power_Opower(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8470, plain, ( class_Groups_Ozero(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8471, plain, ( class_Int_Onumber(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8472, plain, ( class_Groups_Oone(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8473, plain, ( class_Nat_Osize(tc_Nat_Onat) )).
% 43.40/43.66 cnf(matrix-8474, plain, ( class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8475, plain, ( class_Lattices_Obounded__lattice__top(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8476, plain, ( class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8477, plain, ( class_Lattices_Osemilattice__sup(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8478, plain, ( class_Lattices_Osemilattice__inf(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8479, plain, ( class_Lattices_Odistrib__lattice(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8480, plain, ( class_Lattices_Oboolean__algebra(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8481, plain, ( class_Orderings_Opreorder(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8482, plain, ( class_Finite__Set_Ofinite(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8483, plain, ( class_Lattices_Olattice(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8484, plain, ( class_Orderings_Oorder(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8485, plain, ( class_Orderings_Otop(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8486, plain, ( class_Orderings_Oord(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8487, plain, ( class_Orderings_Obot(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8488, plain, ( class_Groups_Ouminus(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8489, plain, ( class_Groups_Ominus(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8490, plain, ( class_Enum_Oenum(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8491, plain, ( class_Nat_Osize(tc_HOL_Obool) )).
% 43.40/43.66 cnf(matrix-8492, plain, ( class_Nat_Osize(tc_Com_Ostate) )).
% 43.40/43.66 cnf(matrix-8493, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20976) | class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(_u20976)) )).
% 43.40/43.66 cnf(matrix-8494, plain, ( class_Nat_Osize(tc_List_Olist(_u20977)) )).
% 43.40/43.66 cnf(matrix-8495, plain, ( ~class_Finite__Set_Ofinite(_u20978) | ~class_Finite__Set_Ofinite(_u20979) | class_Finite__Set_Ofinite(tc_sum(_u20978, _u20979)) )).
% 43.40/43.66 cnf(matrix-8496, plain, ( ~class_Enum_Oenum(_u20980) | ~class_Enum_Oenum(_u20981) | class_Enum_Oenum(tc_sum(_u20980, _u20981)) )).
% 43.40/43.66 cnf(matrix-8497, plain, ( class_Nat_Osize(tc_sum(_u20982, _u20983)) )).
% 43.40/43.66 cnf(matrix-8498, plain, ( ~class_Finite__Set_Ofinite(_u20984) | class_Finite__Set_Ofinite(tc_Option_Ooption(_u20984)) )).
% 43.40/43.66 cnf(matrix-8499, plain, ( ~class_Enum_Oenum(_u20985) | class_Enum_Oenum(tc_Option_Ooption(_u20985)) )).
% 43.40/43.66 cnf(matrix-8500, plain, ( class_Nat_Osize(tc_Option_Ooption(_u20986)) )).
% 43.40/43.66 cnf(matrix-8501, plain, ( class_Nat_Osize(tc_Nitpick_Opair__box(_u20987, _u20988)) )).
% 43.40/43.66 cnf(matrix-8502, plain, ( ~class_Lazy__Sequence_Osmall__lazy(_u20989) | ~class_Lazy__Sequence_Osmall__lazy(_u20990) | class_Lazy__Sequence_Osmall__lazy(tc_prod(_u20989, _u20990)) )).
% 43.40/43.66 cnf(matrix-8503, plain, ( ~class_Finite__Set_Ofinite(_u20991) | ~class_Finite__Set_Ofinite(_u20992) | class_Finite__Set_Ofinite(tc_prod(_u20991, _u20992)) )).
% 43.40/43.66 cnf(matrix-8504, plain, ( ~class_Enum_Oenum(_u20993) | ~class_Enum_Oenum(_u20994) | class_Enum_Oenum(tc_prod(_u20993, _u20994)) )).
% 43.40/43.66 cnf(matrix-8505, plain, ( class_Nat_Osize(tc_prod(_u20995, _u20996)) )).
% 43.40/43.66 cnf(matrix-8506, plain, ( class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) )).
% 43.40/43.66 cnf(matrix-8507, plain, ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) )).
% 43.40/43.66 cnf(matrix-8508, plain, ( class_Enum_Oenum(tc_Product__Type_Ounit) )).
% 43.40/43.66 cnf(matrix-8509, plain, ( class_Nat_Osize(tc_Product__Type_Ounit) )).
% 43.40/43.66 cnf(matrix-8510, plain, ( class_Nat_Osize(tc_Code__Evaluation_Oterm) )).
% 43.40/43.66 cnf(matrix-8511, plain, ( class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(_u20997)) )).
% 43.40/43.66 cnf(matrix-8512, plain, ( class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8513, plain, ( class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8514, plain, ( class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8515, plain, ( class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8516, plain, ( class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8517, plain, ( class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8518, plain, ( class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8519, plain, ( class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8520, plain, ( class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8521, plain, ( class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8522, plain, ( class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8523, plain, ( class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8524, plain, ( class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8525, plain, ( class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8526, plain, ( class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8527, plain, ( class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8528, plain, ( class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8529, plain, ( class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8530, plain, ( class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8531, plain, ( class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8532, plain, ( class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8533, plain, ( class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8534, plain, ( class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8535, plain, ( class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8536, plain, ( class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8537, plain, ( class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8538, plain, ( class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8539, plain, ( class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8540, plain, ( class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8541, plain, ( class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8542, plain, ( class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8543, plain, ( class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8544, plain, ( class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8545, plain, ( class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8546, plain, ( class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8547, plain, ( class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8548, plain, ( class_Power_Opower(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8549, plain, ( class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8550, plain, ( class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8551, plain, ( class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8552, plain, ( class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) )).
% 43.40/43.66 cnf(matrix-8553, plain, ( class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(_u20998)) )).
% 43.40/43.66 cnf(matrix-8554, plain, ( ( hAPP(c_COMBI(_u20999), _u21000) = _u21000) )).
% 43.40/43.66 cnf(matrix-8555, plain, ( ( hAPP(hAPP(c_COMBK(_u21001, _u21002), _u21003), _u21004) = _u21003) )).
% 43.40/43.66 cnf(matrix-8556, plain, ( ( hAPP(hAPP(hAPP(c_COMBB(_u21005, _u21006, _u21007), _u21008), _u21009), _u21010) = hAPP(_u21008, hAPP(_u21009, _u21010))) )).
% 43.40/43.66 cnf(matrix-8557, plain, ( ( hAPP(hAPP(hAPP(c_COMBC(_u21011, _u21012, _u21013), _u21014), _u21015), _u21016) = hAPP(hAPP(_u21014, _u21016), _u21015)) )).
% 43.40/43.66 cnf(matrix-8558, plain, ( ( hAPP(hAPP(hAPP(c_COMBS(_u21017, _u21018, _u21019), _u21020), _u21021), _u21022) = hAPP(hAPP(_u21020, _u21022), hAPP(_u21021, _u21022))) )).
% 43.40/43.66 cnf(matrix-8559, plain, ( ~hBOOL(hAPP(hAPP(c_fequal, _u21023), _u21024)) | ( _u21023 = _u21024) )).
% 43.40/43.66 cnf(matrix-8560, plain, ( ( _u21025 != _u21026) | hBOOL(hAPP(hAPP(c_fequal, _u21025), _u21026)) )).
% 43.40/43.66 cnf(matrix-8561, plain, ( ~hBOOL(c_fFalse) )).
% 43.40/43.66 cnf(matrix-8562, plain, ( hBOOL(c_fTrue) )).
% 43.40/43.66 cnf(matrix-8563, plain, ( ~hBOOL(hAPP(c_fNot, _u21027)) | ~hBOOL(_u21027) )).
% 43.40/43.66 cnf(matrix-8564, plain, ( hBOOL(_u21028) | hBOOL(hAPP(c_fNot, _u21028)) )).
% 43.40/43.66 cnf(matrix-8565, plain, ( ~hBOOL(_u21030) | ~hBOOL(_u21029) | hBOOL(hAPP(hAPP(c_fconj, _u21029), _u21030)) )).
% 43.40/43.66 cnf(matrix-8566, plain, ( ~hBOOL(hAPP(hAPP(c_fconj, _u21031), _u21032)) | hBOOL(_u21031) )).
% 43.40/43.66 cnf(matrix-8567, plain, ( hBOOL(_u21034) | ~hBOOL(hAPP(hAPP(c_fconj, _u21033), _u21034)) )).
% 43.40/43.66 cnf(matrix-8568, plain, ( ~hBOOL(_u21035) | hBOOL(hAPP(hAPP(c_fdisj, _u21035), _u21036)) )).
% 43.40/43.66 cnf(matrix-8569, plain, ( ~hBOOL(_u21037) | hBOOL(hAPP(hAPP(c_fdisj, _u21038), _u21037)) )).
% 43.40/43.66 cnf(matrix-8570, plain, ( hBOOL(_u21040) | ~hBOOL(hAPP(hAPP(c_fdisj, _u21039), _u21040)) | hBOOL(_u21039) )).
% 43.40/43.66 cnf(matrix-8571, plain, ( hBOOL(_u21041) | hBOOL(hAPP(hAPP(c_fimplies, _u21041), _u21042)) )).
% 43.40/43.66 cnf(matrix-8572, plain, ( ~hBOOL(_u21043) | hBOOL(hAPP(hAPP(c_fimplies, _u21044), _u21043)) )).
% 43.40/43.66 cnf(matrix-8573, plain, ( hBOOL(_u21046) | ~hBOOL(hAPP(hAPP(c_fimplies, _u21045), _u21046)) | ~hBOOL(_u21045) )).
% 43.40/43.66 cnf(matrix-8574, plain, ( c_Hoare__Mirabelle_Ohoare__derivs(t_a, hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), v_Q)), v_Procs)) )).
% 43.40/43.66 cnf(matrix-8575, plain, ( ~hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a), tc_HOL_Obool)), v_G), hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs))), _u21047)) | c_Hoare__Mirabelle_Ohoare__derivs(t_a, _u21047, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom), tc_Com_Ocom, tc_Com_Opname), c_Option_Othe(tc_Com_Ocom)), c_Com_Obody))), v_Q)), v_Procs)) )).
% 43.40/43.66 cnf(matrix-8576, 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)) )).
% 43.40/43.66 cnf(matrix-8577, plain, ( ~c_Hoare__Mirabelle_Ohoare__derivs(t_a, v_Ga, hAPP(c_Set_Oimage(tc_Com_Opname, tc_Hoare__Mirabelle_Otriple(t_a), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a)), hAPP(hAPP(c_COMBS(tc_Com_Opname, tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), hAPP(hAPP(c_COMBB(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_fun(tc_Com_Ocom, tc_fun(tc_fun(t_a, tc_fun(tc_Com_Ostate, tc_HOL_Obool)), tc_Hoare__Mirabelle_Otriple(t_a))), tc_Com_Opname), c_Hoare__Mirabelle_Otriple_Otriple(t_a)), v_P)), c_Com_Ocom_OBODY)), v_Q)), v_Procs)) )).
% 43.40/43.66
% 43.40/43.66 % Proof stack:
% 43.40/43.66 cnf(proof-stack, plain,
% 43.40/43.66 proof_stack(
% 43.40/43.66 start(8577),
% 43.40/43.66 left_branch(0, 1069, 2, 2),
% 43.40/43.66 left_branch(0, 1070, 1, 3),
% 43.40/43.66 left_branch(0, 8574, 0, 4),
% 43.40/43.66 right_branch(4),
% 43.40/43.66 right_branch(3),
% 43.40/43.66 left_branch(0, 1067, 1, 4),
% 43.40/43.66 left_branch(0, 8576, 0, 5),
% 43.40/43.66 right_branch(5),
% 43.40/43.66 right_branch(4),
% 43.40/43.66 right_branch(2)
% 43.40/43.66 )).
% 43.40/43.66 % SZS output end Proof for theBenchmark
%------------------------------------------------------------------------------